Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 769, 713, 3184, 267, 649, 5490, 883, 519, 10167, 540, 7087, 3332, 543, 16285, 1369, 519, 2796, 540, 5339, 9880, 267, 4481, 3695, 875, 891, 5931, 4497, 609, 2152, 4478, 2528, 267, 5198, 267, 543, 14940, 269, 901, 4901, 3029, 851, 540, 513, 6626, 6514, 540, 519, 2081, 538, 799, 3332, 9356, 543, 5546, 938, 1620, 540, 1585, 1914, 19205, 4798, 269, 1635, 7421, 7087, 2148, 2137, 998, 519, 7828, 540, 16285, 267, 649, 666, 2263, 519, 1950, 3347, 1063, 19525, 267, 4187, 267, 3961, 5250, 267, 543, 28160, 1436, 780, 2414, 2253, 267, 1577, 721, 2015, 519, 1523, 540, 16285, 3294, 269, 13575, 6340, 267, 16285, 4016, 547, 519, 18678, 6392, 1369, 513, 16857, 2230, 267, 1419, 2404, 609, 519, 1379, 4371, 676, 4182, 32145, 269, 1717, 267, 950, 7234, 7087, 11704, 14757, 625, 267, 649, 1590, 4228, 938, 1620, 3564, 2757, 8847, 269, 1280, 1082, 7087, 2950, 267, 16285, 13315, 1582, 24148, 267, 2686, 2585, 766, 267, 543, 4296, 547, 2244, 1765, 324, 6123, 4749, 12219, 610, 2144, 10757, 676, 3936, 2401, 7810, 4229, 269, 1306, 971, 267, 6313, 7087, 3332, 998, 519, 5943, 540, 16285, 2636, 721, 547, 23827, 622, 519, 5571, 23543, 540, 17091, 1247, 849, 10223, 2994, 540, 4187, 543, 6668, 780, 3080, 2629, 2460, 540, 7087, 3332, 2502, 609, 16285, 3322, 4101, 8789, 6386, 10419, 18050, 676, 7810, 7060, 269, 1452, 6386, 1419, 3343, 547, 16563, 267, 8589, 1125, 267, 610, 15849, 30968, 7087, 9739, 267, 17923, 21376, 1379, 6384, 543, 14944, 1456, 3646, 2509, 1582, 24148, 269, 3414, 741, 1603, 267, 7087, 4589, 5706, 891, 26568, 27964, 267, 29379, 532, 8116, 543, 7682, 532, 741, 4527, 1369, 5339, 543, 2686, 21384, 269, 6201, 540, 713, 7613, 666, 581, 2938, 538, 1568, 899, 7338, 3751, 781, 834, 763, 18266, 6168, 12267, 2437, 1141, 646, 11363, 519, 2956, 540, 9423, 607, 513, 1797, 540, 8497, 1686, 267, 1702, 267, 543, 3961, 1996, 2144, 5501, 780, 5194, 1713, 6249, 1369, 7087, 3332, 7255, 609, 16285, 568, 519, 4276, 547, 2244, 543, 1747, 269, 8092, 814, 1279, 1044, 513, 3135, 540, 16311, 566, 1063, 7087, 9082, 543, 7810, 4229, 267, 609, 519, 8545, 5275, 547, 7006, 1601, 612, 7111, 5095, 540, 741, 18577, 11182, 269, 1635, 32215, 532, 2984, 12082, 538, 1808, 8916, 267, 7087, 5830, 14751, 741, 2620, 13218, 547, 891, 4025, 267, 8195, 1814, 1172, 532, 519, 10795, 12583, 602, 3366, 547, 741, 7006, 1601, 11970, 269, 15776, 12340, 631, 1301, 517, 8125, 14150, 781, 3209, 834, 290, 699, 3000, 344, 2437, 585, 3236, 267, 7740, 1472, 570, 599, 334, 781, 3460, 2509, 7067, 267, 799, 568, 11371, 1231, 1227, 5532, 547, 1010, 2078, 609, 519, 2244, 543, 922, 5289, 4644, 780, 18698, 7087, 3332, 998, 519, 7828, 540, 16285, 849, 20217, 5717, 827, 519, 1909, 540, 2029, 543, 7857, 1436, 538, 5935, 4207, 2833, 540, 3961, 267, 2146, 267, 543, 4187, 269, 2755, 3059, 5867, 2709, 1007, 3255, 585, 7087, 9739, 547, 581, 4862, 543, 5121, 547, 1106, 267, 789, 849, 1459, 2189, 2591, 7282, 6041, 267, 3261, 566, 267, 543, 1852, 936, 1239, 269, 4935, 267, 6236, 519, 6286, 540, 519, 834, 21745, 1388, 1514, 12051, 257, 5018, 538, 519, 3355, 1349, 3587, 1898, 950, 10442, 519, 9687, 5251, 540, 7087, 5339, 2504, 543, 4616, 780, 1103, 3932, 267, 4974, 7087, 3332, 538, 6935, 547, 16285, 2488, 3407, 4030, 883, 519, 15491, 9620, 5185, 676, 7111, 2950, 607, 789, 6330, 519, 5571, 5222, 540, 19525, 269, 1635, 2502, 609, 891, 5931, 267, 3988, 666, 1020, 4514, 24300, 540, 519, 3309, 2994, 6964, 676, 7087, 4589, 547, 4161, 8789, 6386, 267, 8190, 2686, 6561, 267, 543, 6536, 4296, 547, 2244, 269, 5015, 267, 6220, 9382, 540, 3059, 4529, 6087, 721, 547, 5660, 519, 13710, 30372, 543, 25354, 540, 6932, 4066, 1369, 7087, 5339, 8658, 269, 11086, 267, 971, 29293, 4196, 547, 24244, 7087, 5380, 267, 7700, 547, 6626, 7391, 4478, 28160, 1436, 267, 5126, 267, 543, 21047, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17345, 11673, 616, 17895, 894, 543, 949, 581, 1641, 547, 14469, 282, 11382, 29422, 786, 581, 11540, 2663, 538, 519, 1032, 269, 1403, 596, 723, 2055, 827, 513, 1880, 1576, 267, 5225, 3346, 519, 1576, 14357, 610, 519, 23958, 8111, 6665, 528, 563, 2894, 21923, 476, 4335, 273, 293, 5525, 538, 7869, 454, 27287, 7913, 28299, 454, 1607, 568, 606, 4367, 547, 519, 11879, 7913, 28299, 630, 291, 295, 1070, 1303, 9430, 2565, 1353, 540, 13416, 667, 295, 543, 540, 3059, 2528, 811, 17618, 269, 3776, 3584, 786, 581, 912, 268, 1353, 540, 519, 1514, 31716, 267, 2825, 12159, 267, 543, 11668, 538, 519, 2504, 540, 3059, 2472, 454, 268, 1353, 540, 3059, 13178, 267, 1239, 5599, 267, 543, 519, 2344, 1436, 540, 3593, 270, 4621, 10179, 1344, 454, 268, 1353, 540, 1514, 2923, 607, 2901, 8420, 5217, 610, 14027, 2797, 6663, 454, 268, 519, 5294, 543, 931, 540, 6436, 602, 1224, 519, 3059, 607, 1883, 547, 513, 968, 25791, 12051, 892, 538, 799, 649, 1631, 782, 21078, 543, 960, 585, 1863, 782, 519, 942, 282, 789, 8044, 621, 568, 3476, 2009, 547, 5094, 1875, 22086, 2238, 1107, 729, 621, 2479, 286, 1107, 689, 519, 10700, 2504, 540, 1871, 585, 3854, 282, 4779, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29378, 9085, 543, 590, 30371, 14879, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 23527, 1299, 21771, 1315, 9177, 267, 17813, 1299, 23532, 640, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4197, 3733, 10610, 543, 2725, 692, 8702, 547, 713, 3078, 3184, 782, 827, 596, 256, 2334, 781, 1318, 910, 649, 616, 2469, 547, 1451, 827, 707, 5863, 1560, 543, 875, 621, 9428, 543, 2242, 936, 942, 269, 901, 1522, 3280, 899, 513, 9490, 610, 19849, 23035, 1888, 267, 855, 3972, 721, 267, 676, 519, 1439, 540, 713, 3184, 267, 596, 786, 1294, 1946, 621, 568, 1898, 547, 917, 827, 3054, 543, 707, 1560, 269, 1284, 9153, 547, 2491, 3388, 5693, 267, 1210, 2241, 1893, 543, 1187, 1806, 2059, 519, 1259, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 3395, 909, 2439, 4089, 476, 272, 281, 2659, 9214, 323, 1043, 10610, 692, 12441, 596, 917, 602, 707, 1560, 568, 1500, 909, 540, 5111, 476, 4391, 18265, 2281, 286, 19204, 616, 6263, 2679, 7161, 602, 960, 1927, 547, 1711, 8031, 267, 8219, 267, 543, 1949, 602, 1832, 596, 9800, 543, 14762, 1169, 1554, 269, 3962, 1591, 814, 922, 2189, 2816, 547, 798, 267, 799, 2337, 938, 4703, 1599, 5265, 269, 2913, 781, 2263, 930, 4909, 3344, 540, 707, 6909, 1560, 780, 265, 22845, 281, 15439, 2322, 282, 14169, 4016, 547, 519, 1353, 540, 519, 3889, 540, 2713, 7103, 269, 1879, 649, 2911, 827, 1480, 14169, 267, 649, 3277, 547, 1565, 827, 1114, 1560, 2694, 543, 741, 3252, 269, 1411, 4440, 2907, 917, 1141, 707, 7916, 267, 7953, 267, 2212, 267, 543, 8731, 810, 616, 4092, 267, 865, 1577, 781, 1491, 621, 835, 1900, 2417, 269, 2052, 596, 2012, 2947, 824, 1560, 2694, 543, 13713, 4766, 1018, 789, 798, 286, 630, 2690, 1383, 267, 9641, 948, 721, 13236, 24355, 2080, 616, 930, 1007, 3283, 547, 1205, 596, 3323, 1384, 272, 269, 9839, 281, 589, 31329, 13355, 4887, 602, 15450, 1973, 2429, 707, 1560, 269, 898, 1568, 1875, 17380, 267, 1256, 950, 596, 3207, 2336, 273, 269, 11020, 281, 6513, 338, 3388, 649, 1589, 267, 1745, 267, 2161, 267, 543, 798, 269, 898, 781, 5258, 883, 1896, 4525, 3743, 585, 1808, 4247, 267, 971, 607, 3965, 267, 4633, 267, 3350, 267, 543, 4664, 563, 274, 269, 853, 6729, 281, 4591, 1091, 1426, 1310, 596, 3548, 1354, 11488, 621, 547, 519, 24026, 585, 12536, 269, 898, 849, 13847, 11476, 543, 7408, 547, 2736, 1524, 5946, 267, 9600, 267, 543, 11950, 563, 275, 269, 16164, 281, 3776, 4102, 1418, 5713, 607, 513, 8825, 11064, 1996, 17900, 267, 21560, 2837, 267, 543, 2636, 721, 547, 1995, 5905, 998, 8229, 13364, 563, 276, 269, 17718, 7958, 281, 5565, 21167, 11057, 8219, 6882, 3653, 2472, 689, 707, 18072, 543, 3132, 10729, 269, 1358, 849, 1404, 513, 2629, 1909, 538, 4509, 23386, 3666, 543, 9013, 1973, 2604, 780, 3086, 2119, 20803, 2947, 811, 1560, 2694, 543, 10503, 741, 5107, 2439, 4089, 476, 273, 281, 26636, 1176, 4201, 16860, 1107, 21727, 532, 21940, 2456, 692, 3080, 2565, 1523, 602, 4422, 1688, 2987, 11804, 609, 1565, 827, 707, 1560, 568, 18245, 6302, 543, 2123, 2230, 269, 901, 2856, 568, 1572, 834, 321, 617, 1176, 13190, 2437, 2495, 1142, 1268, 4991, 547, 6430, 945, 18953, 741, 1560, 267, 1141, 267, 543, 950, 269, 3143, 835, 3116, 666, 3196, 13311, 3346, 2390, 1776, 1367, 269, 1306, 596, 3136, 547, 1020, 9308, 267, 14156, 267, 543, 13998, 267, 3314, 602, 3025, 19262, 7834, 543, 1852, 936, 741, 1378, 4703, 780, 4131, 781, 2015, 606, 1383, 281, 5994, 952, 2576, 6836, 547, 29751, 596, 1510, 6998, 1101, 269, 1215, 1131, 602, 1118, 596, 1745, 286, 1133, 1260, 13025, 286, 4911, 787, 286, 4762, 4310, 286, 3767, 4952, 952, 2576, 10544, 5523, 707, 6186, 30122, 1282, 513, 3014, 693, 12424, 269, 11088, 267, 1346, 4606, 540, 9636, 949, 8451, 1317, 789, 26991, 707, 2123, 2230, 543, 2168, 4313, 269, 5457, 532, 547, 2307, 1866, 585, 10479, 1354, 15700, 873, 2982, 11587, 267, 6568, 267, 543, 7156, 780, 19865, 281, 6056, 540, 1614, 7653, 5473, 15629, 13190, 543, 2328, 1524, 2436, 610, 711, 519, 3510, 9727, 2463, 585, 2123, 6302, 269, 1403, 711, 267, 16540, 2081, 519, 5872, 1223, 1689, 547, 1732, 2992, 3617, 2623, 780, 4089, 476, 274, 281, 12618, 543, 15448, 4438, 10658, 22360, 692, 25105, 267, 23648, 1107, 519, 5123, 540, 1272, 6353, 676, 4028, 2208, 27513, 1206, 267, 17441, 15088, 267, 543, 1585, 3929, 543, 1514, 11941, 269, 2755, 621, 666, 3006, 3100, 18447, 610, 14845, 267, 1964, 21407, 602, 3592, 1169, 1268, 2833, 2147, 14759, 1282, 18273, 269, 12989, 267, 649, 1865, 930, 1455, 2168, 2242, 2404, 609, 23648, 780, 265, 21989, 281, 2201, 3328, 267, 6690, 2253, 23648, 1063, 6502, 5216, 543, 24369, 269, 2368, 2038, 4191, 1331, 6089, 19512, 17729, 896, 519, 562, 31454, 267, 519, 5920, 540, 1435, 545, 4552, 2282, 519, 19058, 1858, 267, 543, 4358, 28689, 630, 1326, 1154, 5712, 1040, 3683, 942, 267, 25637, 11097, 523, 267, 9739, 15052, 5594, 267, 543, 2960, 3587, 3282, 1512, 1813, 547, 2799, 17570, 14189, 2534, 563, 265, 27258, 281, 13575, 6340, 267, 8695, 1376, 23648, 2663, 982, 6690, 267, 2356, 1472, 6502, 4557, 547, 19939, 269, 7216, 10832, 17663, 1449, 7781, 23822, 618, 267, 4553, 676, 4050, 850, 2208, 267, 11132, 4552, 11944, 267, 4514, 5639, 267, 6626, 17525, 267, 543, 16757, 1628, 269, 6145, 6690, 267, 8695, 949, 5469, 522, 1176, 2960, 4611, 689, 11506, 17570, 2504, 780, 8855, 602, 1004, 9921, 693, 8795, 3928, 267, 1818, 9236, 3054, 547, 9905, 10002, 8793, 543, 5732, 1253, 7675, 269, 5502, 267, 9784, 707, 2189, 3460, 543, 8661, 19325, 2059, 519, 1259, 269, 2991, 782, 267, 3025, 10301, 15296, 5555, 2439, 1103, 3932, 267, 1620, 707, 1560, 543, 8508, 519, 2067, 3356, 687, 540, 2208, 568, 4105, 585, 1582, 18221, 543, 6015, 269, 1635, 9301, 519, 2956, 540, 2123, 6302, 267, 3695, 26715, 9238, 267, 543, 14344, 6093, 19260, 9648, 1282, 23648, 267, 596, 1631, 4865, 13654, 1702, 3823, 707, 9735, 17550, 269, 8892, 11271, 5490, 4514, 883, 3347, 267, 14920, 267, 9844, 267, 543, 3106, 267, 16779, 596, 609, 3407, 4030, 2877, 547, 6330, 18273, 6707, 269, 5901, 2542, 543, 2972, 519, 7045, 6619, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1410, 2069, 568, 606, 1271, 851, 540, 513, 1126, 781, 2949, 2069, 543, 1646, 269, 9752, 1453, 827, 741, 4703, 267, 3347, 267, 543, 14920, 538, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6124, 569, 12630, 4054, 2154, 811, 7928, 14450, 982, 3964, 4054, 269, 8479, 4054, 991, 519, 1318, 2179, 540, 1216, 547, 3715, 5072, 543, 2253, 2635, 2729, 269, 4826, 532, 666, 581, 16602, 952, 596, 1810, 1406, 917, 875, 1419, 547, 1216, 1007, 4054, 269, 18320, 2370, 610, 1932, 1454, 1216, 666, 6146, 513, 3529, 563, 2252, 596, 991, 3318, 948, 12391, 585, 707, 1007, 3529, 267, 8430, 3529, 3028, 538, 8092, 744, 685, 20463, 676, 1488, 4011, 626, 589, 4580, 563, 2691, 547, 4826, 1715, 569, 1773, 5896, 19029, 454, 12024, 1034, 1919, 267, 707, 14450, 8430, 786, 4096, 593, 2188, 8151, 689, 519, 2450, 540, 707, 3529, 547, 4365, 543, 3037, 2175, 269, 589, 1762, 3529, 3340, 1713, 5666, 540, 1216, 1282, 2038, 2208, 547, 1020, 922, 12979, 1681, 543, 3049, 3294, 269, 15775, 6190, 1216, 1282, 519, 3905, 267, 3819, 4832, 3275, 949, 581, 4101, 585, 513, 1762, 3529, 563, 19187, 14450, 6238, 1354, 267, 1282, 543, 1310, 9544, 269, 2142, 2386, 547, 1216, 519, 2030, 779, 3003, 3597, 3440, 950, 596, 4894, 621, 689, 922, 21543, 610, 7938, 1905, 519, 3276, 331, 777, 1472, 621, 269, 898, 779, 711, 16613, 585, 519, 3037, 1369, 519, 3597, 3440, 547, 581, 3819, 267, 1818, 621, 811, 2352, 547, 10110, 7509, 689, 519, 4478, 3037, 8259, 596, 6632, 621, 1354, 9544, 563, 5629, 596, 4076, 12630, 519, 3529, 267, 1216, 621, 3232, 585, 519, 1101, 3018, 267, 1287, 7466, 513, 3018, 585, 519, 1985, 3923, 610, 865, 269, 6333, 14450, 2663, 538, 519, 10543, 267, 1310, 519, 1554, 779, 3002, 814, 7449, 3660, 269, 2334, 3947, 519, 5072, 513, 1434, 4960, 547, 10110, 930, 540, 602, 7509, 1354, 621, 18493, 919, 563, 1692, 13518, 4826, 1684, 1715, 19029, 10261, 888, 1692, 1454, 1216, 596, 1058, 2285, 707, 9241, 12630, 3529, 849, 5673, 593, 513, 2647, 3099, 540, 2188, 269, 589, 1434, 4341, 540, 14853, 568, 547, 11125, 622, 513, 9241, 12630, 3529, 609, 1079, 547, 1614, 17529, 540, 1216, 829, 10759, 540, 922, 17657, 8006, 269, 634, 8945, 1934, 568, 547, 1683, 6190, 1216, 1472, 519, 3597, 3440, 269, 4107, 11932, 267, 1216, 1970, 543, 3500, 563, 288, 3500, 22467, 1674, 2557, 3947, 519, 1762, 3529, 779, 5072, 513, 811, 6905, 1974, 547, 10110, 1216, 543, 2636, 1216, 547, 1847, 4514, 883, 519, 3037, 267, 1141, 621, 779, 1732, 585, 519, 5072, 547, 1332, 563, 2791, 849, 1616, 547, 1683, 476, 272, 269, 276, 547, 476, 273, 6279, 540, 1216, 1142, 3018, 2429, 519, 4832, 543, 2887, 2394, 5210, 3579, 269, 6333, 10115, 538, 606, 12555, 1062, 602, 786, 1118, 1919, 4443, 563, 10673, 1406, 7340, 547, 6992, 1125, 519, 3037, 547, 1832, 519, 3529, 16138, 1639, 543, 2635, 269, 17667, 22890, 1568, 1655, 267, 2810, 519, 8458, 540, 707, 3529, 779, 6668, 676, 912, 268, 2037, 5341, 532, 519, 3037, 779, 4390, 547, 3180, 1216, 454, 268, 3204, 6819, 519, 3037, 779, 2837, 454, 268, 20405, 532, 519, 2557, 540, 1216, 21381, 689, 519, 3037, 454, 268, 4675, 7675, 519, 2208, 540, 18047, 602, 1131, 6382, 14526, 609, 519, 2030, 585, 1216, 543, 824, 2200, 454, 8448, 11790, 18748, 532, 1215, 10705, 547, 4826, 1715, 19029, 454, 21698, 2450, 543, 2249, 281, 898, 2337, 547, 917, 519, 3328, 1216, 2115, 540, 519, 4054, 596, 3442, 1354, 9544, 563, 19613, 281, 634, 25727, 540, 519, 3529, 779, 10450, 786, 1860, 922, 1216, 2115, 269, 1772, 519, 3529, 538, 519, 3141, 267, 513, 1970, 5544, 267, 513, 695, 8014, 3135, 267, 610, 513, 2842, 344, 5544, 888, 3383, 559, 3178, 281, 634, 3037, 779, 3178, 5540, 875, 1454, 1216, 519, 2666, 666, 3180, 563, 3383, 559, 9403, 281, 634, 3037, 779, 9403, 4016, 547, 519, 6871, 540, 922, 3334, 267, 799, 5540, 875, 3728, 1216, 786, 2196, 998, 621, 563, 307, 17687, 281, 30482, 5210, 543, 8653, 540, 7943, 2047, 1764, 513, 3529, 779, 1216, 2115, 563, 4467, 7065, 819, 281, 19029, 543, 19211, 4478, 707, 2030, 786, 14526, 585, 1216, 267, 865, 596, 3580, 1616, 547, 3761, 6190, 1216, 585, 1169, 2030, 563, 24445, 3776, 20226, 4653, 454, 6635, 4011, 626, 589, 4580, 2488, 3318, 818, 4011, 1416, 2533, 20483, 676, 14468, 818, 4011, 1235, 269, 1403, 596, 8910, 899, 948, 23115, 875, 1419, 547, 1216, 1007, 4054, 267, 649, 2461, 1175, 513, 6049, 1289, 2476, 269, 13555, 721, 547, 1451, 811, 827, 519, 2010, 540, 4054, 538, 8419, 543, 1265, 856, 811, 827, 938, 2533, 269, 12480, 630, 279, 1724, 264, 476, 280, 736, 268, 4510, 272, 271, 585, 513, 1863, 7447, 269, 0, 296, 6557, 2348, 513, 2352, 942, 4466, 519, 5993, 3454, 2557, 540, 513, 10315, 269, 3767, 267, 594, 3576, 519, 6718, 1871, 540, 519, 3959, 630, 25870, 267, 1822, 1070, 5258, 621, 676, 476, 272, 267, 1822, 543, 16611, 602, 676, 519, 2698, 19597, 730, 3454, 2557, 630, 278, 3393, 269, 736, 1040, 634, 1439, 1267, 815, 1269, 28143, 267, 25320, 269, 876, 454, 296, 1810, 1406, 1174, 875, 547, 1265, 519, 5993, 3454, 2557, 630, 260, 8797, 1916, 257, 19185, 585, 513, 5381, 12143, 286, 11352, 1631, 543, 5192, 476, 1015, 260, 5494, 870, 256, 2422, 8943, 834, 6124, 743, 1304, 4840, 23921, 7084, 948, 585, 713, 2243, 888, 2252, 596, 991, 6351, 609, 1603, 707, 1557, 267, 649, 616, 4712, 547, 948, 596, 2336, 3963, 7994, 2974, 281, 8779, 3887, 11797, 267, 1773, 698, 14705, 1863, 267, 14559, 7982, 2871, 5875, 2465, 267, 2201, 6066, 24822, 267, 11192, 29112, 517, 325, 7808, 640, 267, 476, 2190, 270, 278, 8081, 267, 476, 1911, 260, 5169, 1275, 0, 10932, 3366, 676, 918, 15009, 1993, 7813, 1171, 545, 345, 630, 874, 9369, 1070, 11022, 267, 12854, 267, 945, 5063, 8678, 634, 11882, 3557, 2160, 5441, 540, 6925, 267, 2982, 602, 5444, 10682, 3797, 585, 15281, 655, 2335, 6261, 1157, 1826, 589, 2068, 568, 2922, 585, 946, 538, 1875, 16058, 28516, 543, 814, 9354, 2360, 538, 8983, 269, 1452, 1382, 4681, 941, 3370, 2228, 593, 4864, 476, 2641, 267, 476, 1001, 280, 267, 538, 519, 4760, 3163, 25927, 1049, 6925, 269, 634, 2376, 568, 11331, 968, 3849, 523, 334, 5025, 1087, 18620, 5164, 531, 21070, 5395, 9189, 476, 280, 1700, 17780, 22319, 10657, 585, 15281, 655, 2335, 6261, 1157, 8376, 7392, 589, 1848, 13405, 547, 11836, 11882, 3557, 607, 513, 7905, 540, 11671, 338, 29864, 267, 3220, 269, 7813, 1171, 545, 345, 5342, 713, 6037, 1049, 5444, 3797, 1382, 693, 519, 2160, 540, 4993, 693, 5842, 12770, 267, 538, 14966, 609, 3173, 538, 1715, 3840, 267, 12590, 267, 543, 8050, 269, 15281, 655, 2335, 6261, 1157, 2068, 1826, 589, 630, 301, 11520, 5025, 264, 568, 513, 30897, 23865, 4859, 4524, 6353, 676, 31895, 523, 3130, 543, 2038, 2669, 269, 898, 568, 3361, 676, 2530, 6361, 1922, 4233, 13592, 538, 519, 5444, 8193, 585, 519, 11747, 3679, 838, 3107, 3912, 601, 514, 848, 630, 3008, 300, 1070, 799, 29230, 8240, 838, 3107, 3912, 601, 514, 883, 12841, 728, 269, 2060, 713, 2068, 267, 519, 1560, 781, 2702, 547, 8311, 1125, 3170, 1369, 2281, 568, 4299, 267, 4929, 891, 2281, 547, 29840, 543, 267, 5555, 267, 5884, 269, 901, 15110, 2068, 666, 1860, 519, 2634, 267, 13285, 267, 6797, 267, 838, 22220, 267, 5642, 20768, 267, 543, 9641, 269, 634, 1614, 1292, 2010, 540, 15281, 655, 2335, 6261, 1157, 2068, 616, 2010, 589, 267, 645, 543, 595, 269, 634, 4191, 543, 2589, 4810, 4096, 593, 519, 1826, 543, 10335, 540, 519, 2783, 269, 2368, 12256, 609, 1826, 589, 786, 1397, 4191, 543, 2589, 1369, 519, 1101, 1906, 3275, 540, 1272, 269, 8409, 609, 1826, 645, 949, 711, 1397, 4191, 585, 1296, 543, 723, 513, 1732, 4960, 540, 17005, 547, 15296, 269, 4658, 609, 1826, 595, 949, 711, 1995, 1022, 2589, 2394, 15296, 563, 19868, 514, 2107, 19193, 1677, 3367, 9509, 9452, 0, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 2171, 10093, 1405, 1336, 1022, 8039, 538, 519, 8912, 4025, 563, 8448, 21820, 910, 7348, 782, 454, 288, 2077, 13444, 781, 7869, 540, 17826, 543, 20963, 3203, 281, 2060, 513, 11879, 7956, 543, 4429, 306, 269, 670, 269, 476, 6977, 271, 268, 4489, 271, 1809, 7815, 267, 288, 2077, 13444, 7313, 7497, 454, 5591, 12744, 2139, 910, 476, 1001, 277, 454, 9146, 12716, 3284, 690, 337, 5526, 17127, 17127, 781, 7499, 1831, 1572, 1915, 13798, 323, 18792, 9880, 4214, 11984, 12416, 1198, 3693, 4664, 12473, 4082, 1249, 4250, 4743, 5205, 4229, 2285, 5259, 2362, 1480, 2856, 4998, 32649, 12705, 13685, 1367, 2186, 1447, 3908, 2495, 2247, 5837, 4408, 2470, 1843, 8343, 5214, 8574, 7606, 8360, 533, 640, 1404, 12257, 4729, 6648, 7313, 564, 7313, 7497, 6965, 2009, 1459, 6240, 21483, 3132, 1697, 4641, 2601, 6935, 6719, 4341, 3081, 2631, 2582, 3364, 2219, 13357, 13249, 3020, 5168, 9322, 8471, 966, 1695, 6352, 2898, 31057, 478, 16575, 16575, 30307, 364, 31057, 480, 14832, 31057, 478, 11027, 30307, 372, 29339, 30307, 364, 16708, 24818, 30307, 366, 24818, 15770, 413, 379, 500, 24818, 15403, 30307, 364, 31330, 413, 376, 364, 31330, 413, 376, 370, 14832, 10382, 15403, 31330, 413, 376, 364, 19084, 31057, 494, 24681, 31057, 494, 14832, 31057, 494, 11027, 30307, 370, 31057, 494, 17385, 16483, 15403, 14832, 3852, 374, 10382, 30307, 370, 26018, 30307, 372, 3852, 374, 10382, 16483, 30307, 364, 13179, 30307, 366, 14832, 13179, 30307, 368, 3852, 379, 413, 376, 365, 3852, 379, 413, 376, 371, 14267, 14832, 18841, 377, 483, 16483, 15403, 3852, 379, 30307, 494, 3852, 379, 30307, 494, 24681, 3852, 379, 30307, 500, 14832, 12631, 15770, 16708, 30307, 370, 12631, 16708, 30307, 372, 19084, 26018, 30307, 364, 26018, 30307, 364, 19084, 26018, 15770, 26018, 413, 379, 485, 26018, 30307, 368, 14832, 26018, 413, 379, 484, 19084, 26018, 14267, 413, 379, 500, 19084, 26018, 30307, 372, 14832, 26018, 14267, 413, 379, 355, 26018, 14267, 30307, 374, 19084, 26018, 14267, 413, 379, 355, 16483, 14267, 26018, 413, 379, 371, 26018, 413, 379, 370, 14832, 18841, 377, 350, 19084, 18841, 377, 354, 17385, 11027, 15770, 16708, 454, 17273, 476, 2537, 910, 3004, 3022, 344, 267, 1287, 267, 568, 606, 32649, 540, 606, 2962, 602, 568, 3978, 267, 2347, 267, 543, 540, 513, 1978, 9588, 282, 538, 1893, 30996, 1639, 609, 1142, 2186, 540, 7499, 15022, 3512, 267, 519, 1896, 5686, 1373, 1336, 538, 5094, 2694, 540, 519, 1404, 282, 538, 519, 1106, 540, 2962, 267, 711, 540, 2239, 6902, 998, 533, 640, 543, 4250, 1198, 532, 519, 1697, 1625, 326, 566, 540, 891, 4664, 563, 17273, 476, 3451, 910, 634, 960, 540, 4173, 617, 582, 639, 1522, 581, 2322, 883, 14235, 267, 543, 621, 1131, 1869, 581, 513, 2249, 540, 1686, 267, 609, 25451, 1100, 1447, 982, 1510, 621, 269, 634, 3020, 3017, 568, 602, 835, 12211, 1018, 814, 5949, 267, 519, 824, 910, 6343, 949, 4755, 269, 17826, 267, 4061, 267, 568, 513, 811, 10952, 543, 513, 2362, 3364, 982, 1686, 267, 585, 6965, 11148, 547, 2769, 519, 8471, 267, 1686, 519, 1880, 563, 17273, 476, 28510, 910, 3267, 623, 19991, 856, 938, 20541, 687, 609, 707, 4555, 6902, 20553, 513, 8536, 2694, 7941, 835, 812, 267, 1656, 1118, 16494, 4996, 8599, 2433, 6056, 267, 950, 649, 2911, 540, 9640, 267, 602, 596, 1294, 873, 24614, 741, 10583, 11876, 1993, 338, 1775, 2483, 17273, 476, 4029, 910, 30767, 540, 4729, 1281, 711, 267, 607, 930, 7606, 1589, 267, 2874, 538, 519, 9322, 540, 519, 5869, 269, 1280, 28222, 1585, 616, 519, 13685, 538, 835, 812, 781, 1272, 799, 3112, 581, 4389, 547, 9322, 282, 543, 865, 267, 1932, 267, 972, 616, 1082, 3527, 540, 835, 812, 856, 540, 799, 649, 3112, 1118, 835, 2962, 563, 17273, 476, 3451, 910, 1306, 4061, 267, 538, 519, 824, 708, 5511, 6575, 267, 519, 32649, 568, 835, 950, 519, 1843, 708, 18469, 568, 835, 267, 865, 519, 4729, 267, 1373, 606, 32649, 540, 606, 2962, 267, 1590, 708, 10028, 835, 2962, 543, 602, 513, 2898, 267, 519, 7293, 9769, 540, 519, 2694, 1373, 971, 602, 267, 952, 1022, 835, 540, 873, 568, 19774, 610, 6569, 267, 519, 2898, 786, 581, 771, 329, 31212, 543, 22841, 563, 17273, 476, 29257, 910, 589, 1404, 538, 799, 519, 29063, 10653, 267, 543, 519, 4075, 6681, 26674, 787, 267, 949, 8969, 1652, 581, 1434, 267, 1317, 621, 568, 513, 1175, 6041, 540, 519, 1455, 2621, 540, 1480, 1272, 2433, 855, 2094, 782, 10257, 7919, 6923, 2648, 5126, 267, 594, 3112, 3362 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 994, 1038, 8640, 6221, 15631, 272, 316, 2652, 1412, 324, 12466, 2018, 6221, 272, 815, 6221, 1341, 1412, 338, 7055, 2018, 1007, 6958, 21209, 6910, 263, 14403, 272, 994, 1038, 8640, 6221, 15631, 273, 281, 316, 2652, 1412, 577, 12466, 2018, 6221, 273, 815, 6221, 1341, 1412, 525, 7055, 2018, 1007, 6958, 21209, 6910, 263, 14403, 273, 994, 1038, 3116, 912, 2018, 6221, 274, 815, 6221, 1341, 1412, 338, 7055, 2018, 1007, 6958, 21209, 6910, 263, 14403, 274, 994, 825, 2132, 1007, 6958, 21209, 7531, 26258, 8217, 815, 18358, 20625, 3299, 1412, 9440, 3299, 1412, 28447, 3299, 1412, 701, 778, 23300, 2745, 2891, 306, 17532, 22500, 281, 834, 1341, 1193, 6600, 8816, 8217, 4917, 2908, 6958, 21209, 8217, 815, 4829, 318, 680, 1116, 6500, 6600, 8816, 8217, 994, 2745, 2891, 5522, 1116, 22500, 281, 834, 1341, 1193, 28956, 6958, 21209, 8217, 11723, 258, 804, 18311, 13761, 803, 1759, 593, 519, 1028, 338, 5218, 324, 906, 1352, 1767, 594, 1705, 513, 575, 644, 454, 0, 3698, 2721, 318, 278, 10031, 825, 5182, 815, 24003, 1412, 454, 825, 585, 3197, 538, 2039, 263, 278, 2187, 1038, 1820, 28361, 333, 5073, 1038, 585, 6221, 538, 2039, 263, 278, 2187, 2018, 1820, 263, 28588, 267, 1439, 284, 5257, 9239, 5560, 3863, 318, 278, 15405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 323, 6470, 340, 306, 14234, 546, 5953, 21542, 12462, 338, 969, 656, 14615, 332, 1897, 540, 606, 705, 13092, 1004, 538, 3127, 945, 941, 11402, 543, 2377, 3430, 1194, 676, 519, 32415, 589, 787, 753, 630, 322, 269, 476, 5611, 271, 7460, 264, 2421, 519, 21475, 26049, 18702, 9082, 945, 9411, 7187, 3127, 827, 476, 5611, 271, 14514, 269, 1358, 941, 4330, 676, 519, 589, 787, 753, 21475, 7232, 2202, 753, 607, 513, 4158, 1606, 7219, 2740, 267, 10792, 17898, 7505, 1004, 945, 10847, 539, 26902, 5792, 519, 943, 718, 639, 269, 901, 782, 4288, 814, 7479, 12184, 1082, 5640, 602, 10847, 540, 519, 19388, 320, 267, 519, 9699, 3909, 3090, 267, 12090, 609, 873, 282, 621, 949, 267, 2705, 267, 2368, 5375, 5640, 945, 2070, 519, 19388, 600, 630, 320, 9699, 12911, 776, 1843, 264, 607, 513, 943, 28351, 3090, 723, 28756, 3293, 602, 621, 12090, 609, 519, 546, 6470, 340, 282, 1866, 3180, 602, 713, 6609, 540, 519, 546, 6470, 340, 949, 723, 5219, 547, 741, 4638, 2853, 269, 1358, 634, 546, 6470, 340, 5030, 538, 25167, 4025, 689, 799, 789, 2366, 856, 20679, 269, 1358, 949, 581, 2808, 519, 3312, 14181, 337, 1662, 1511, 1044, 1851, 519, 1744, 644, 6652, 267, 610, 2978, 537, 516, 3464, 267, 945, 6039, 519, 1614, 2362, 5049, 540, 5049, 1765, 23347, 2006, 630, 1440, 625, 1206, 1070, 918, 338, 1002, 686, 5984, 630, 8705, 1874, 8705, 19144, 1070, 543, 28446, 880, 5984, 630, 1067, 322, 656, 850, 1067, 577, 1218, 1070, 689, 2443, 5228, 4171, 9161, 1209, 542, 789, 941, 16934, 269, 0, 11073, 518, 2230, 568, 1152, 606, 5662, 779, 5397, 2476, 267, 952, 596, 1223, 5397, 707, 1286, 2786, 909, 563, 5522, 19513, 4769, 1406, 1256, 1205, 547, 2347, 835, 10739, 1472, 519, 3141, 1063, 519, 942, 621, 729, 4362, 607, 513, 4541, 543, 519, 942, 621, 729, 3616, 817, 1881, 607, 513, 4541, 563, 2791, 666, 1406, 1208, 950, 596, 3180, 707, 9224, 6806, 563, 290, 548, 641, 21358, 5030, 6251, 547, 519, 942, 540, 26882, 23298, 982, 1346, 1390, 26829, 563, 2467, 568, 513, 21297, 8127, 602, 666, 2085, 538, 9258, 267, 26871, 1154, 547, 922, 9998, 3942, 540, 1272, 267, 1141, 621, 666, 1964, 691, 1272, 4783, 543, 666, 31376, 2669, 563, 288, 4544, 17962, 779, 2295, 568, 538, 519, 1482, 2450, 540, 513, 5292, 802, 342, 10402, 2142, 564, 548, 563, 2171, 19927, 875, 547, 2322, 513, 812, 593, 519, 7599, 1354, 649, 19927, 547, 2322, 14743, 593, 513, 561, 10212, 720, 563, 763, 13944, 1290, 545, 590, 753, 948, 7988, 2716, 545, 1004, 1224, 4443, 563, 11073, 540, 519, 2947, 12823, 267, 9329, 568, 519, 1034, 5702, 5532, 547, 3965, 563, 2791, 666, 7639, 593, 513, 2732, 540, 12277, 543, 7423, 799, 2488, 782, 2556, 5567, 519, 1480, 1560, 3340, 563, 6524, 12008, 267, 476, 11152, 260, 540, 707, 2247, 5956, 547, 4952, 8631, 338, 596, 8910, 899, 547, 4755, 563, 295, 8960, 2576, 1289, 707, 2012, 950, 1100, 835, 2965, 1572, 707, 2012, 568, 513, 1129, 540, 513, 2635, 2247, 563, 20091, 543, 5373, 616, 3252, 540, 1079, 1114, 5011, 540, 519, 2634, 799, 568, 1946, 596, 666, 1406, 1224, 538, 707, 5326, 563, 1103, 9909, 267, 9420, 1004, 666, 2965, 1294, 269, 1358, 1152, 5326, 538, 3109, 543, 3043, 269, 0, 21930, 3214, 609, 2635, 4522, 723, 811, 982, 1175, 4190, 1159, 3796, 269, 17926, 4522, 948, 1453, 3717, 543, 25261, 267, 1247, 8066, 513, 1747, 538, 519, 10265, 585, 519, 8628, 4522, 602, 616, 1869, 15720, 896, 519, 14779, 269, 1809, 267, 968, 335, 3233, 5711, 1072, 1496, 520, 1022, 2085, 316, 666, 1764, 2489, 1072, 2223, 3081, 23436, 22489, 26864, 821, 324, 267, 12463, 295, 267, 28251, 267, 31298, 267, 10805, 2732, 23790, 267, 10805, 5959, 31978, 626, 543, 12314, 7548, 693, 7147, 589, 261, 300, 7345, 3271, 5441, 540, 19239, 3588, 563, 2005, 779, 2760, 1932, 4166, 547, 1376, 12391, 585, 707, 1453, 779, 4522, 269, 6969, 519, 1101, 5694, 1256, 11199, 14186, 267, 26864, 334, 821, 324, 3081, 267, 968, 2791, 2731, 1058, 1376, 2220, 629, 6883, 519, 5023, 1310, 3049, 902, 609, 513, 2571, 12308, 1848, 22073, 513, 1906, 2395, 1310, 4332, 267, 26763, 519, 14779, 609, 513, 2571, 4816, 11547, 743, 1054, 547, 4894, 15799, 602, 666, 2014, 9178, 538, 21074, 532, 4522, 269, 15482, 1286, 625, 267, 610, 5694, 9178, 267, 616, 2370, 9475, 538, 519, 4522, 3361, 676, 4551, 538, 519, 5023, 267, 799, 8853, 593, 519, 14836, 538, 938, 2732, 543, 3132, 7408, 602, 4323, 519, 5694, 269, 15482, 1286, 625, 616, 593, 519, 4473, 1851, 1453, 267, 2523, 1063, 519, 6502, 540, 476, 273, 543, 476, 1556, 1296, 2025, 269, 18641, 267, 1434, 5711, 9882, 543, 513, 2635, 2732, 666, 2061, 5694, 543, 10733, 2042, 2429, 1272, 269, 3938, 17940, 540, 519, 9142, 540, 12594, 543, 10791, 7497, 269, 0, 4002, 13638, 267, 594, 13984, 513, 5870, 538, 1715, 3840, 593, 3400, 557, 769, 3286, 1182, 538, 3345, 9705, 547, 2417, 5031, 519, 813, 16226, 1480, 2924, 2594, 540, 519, 3345, 11114, 12512, 563, 288, 6167, 8189, 540, 769, 11431, 630, 10870, 296, 264, 593, 5274, 7126, 538, 3345, 9705, 1107, 3366, 676, 900, 5799, 8241, 7812, 17340, 2421, 1107, 11943, 602, 9836, 267, 7839, 543, 14407, 1480, 2924, 19374, 723, 1044, 267, 543, 732, 1373, 267, 1260, 4784, 676, 519, 3345, 11114, 2229, 1996, 922, 1378, 1004, 563, 1607, 568, 513, 4466, 519, 3486, 2146, 3112, 11716, 269, 898, 814, 513, 5539, 547, 2149, 519, 3345, 11114, 1004, 563, 763, 8189, 11943, 602, 519, 8904, 267, 4336, 543, 2470, 540, 891, 1480, 2924, 19374, 7866, 513, 3557, 602, 814, 1100, 6252, 538, 519, 4207, 1158, 563, 2005, 1336, 602, 519, 3345, 11114, 12512, 3096, 1857, 4291, 1903, 543, 24451, 14897, 1734, 547, 9810, 1047, 922, 2551, 267, 543, 602, 621, 6585, 909, 547, 476, 6344, 267, 1822, 540, 922, 4961, 538, 575, 592, 4711, 1141, 14586, 616, 7166, 998, 20982, 27781, 267, 25711, 543, 7142, 11668, 563, 763, 16499, 23888, 540, 519, 22168, 547, 519, 8189, 540, 769, 11431, 1683, 513, 32562, 540, 3520, 5558, 538, 3345, 9705, 282, 609, 2984, 540, 25711, 267, 22149, 267, 7142, 705, 25344, 543, 824, 4638, 5208, 267, 519, 12638, 540, 1453, 538, 4395, 540, 741, 3237, 267, 17760, 29713, 267, 20655, 267, 14897, 1734, 267, 519, 24677, 540, 1426, 543, 2669, 676, 27781, 563, 763, 8189, 935, 7672, 602, 538, 1082, 8320, 32586, 12512, 781, 1480, 2924, 19374, 13822, 10963, 1996, 8103, 563, 4263, 519, 5870, 513, 5449, 3345, 11114, 267, 1744, 514, 667, 784, 268, 1506, 4157, 267, 12038, 540, 1010, 3771, 8089, 610, 1372, 531, 693, 519, 3946, 540, 519, 22266, 12512, 563, 763, 2680, 849, 25967, 1819, 519, 7029, 547, 3180, 547, 2272, 1346, 1034, 3743, 585, 971, 10963, 267, 799, 15549, 519, 3007, 540, 519, 4139, 22518, 7040, 563, 268, 10579, 781, 5604, 281, 630, 6349, 264, 476, 277, 2767, 278, 476, 16020, 271, 454, 268, 667, 293, 2969, 9012, 700, 807, 2581, 281, 630, 6349, 264, 476, 277, 2918, 272, 476, 14028, 276, 0, 347, 12626, 8745, 1475, 305, 1952, 334, 1100, 918, 9564, 2008, 347, 27165, 1475, 30875, 2836, 580, 3121, 7225, 531, 2008, 347, 301, 1868, 820, 1475, 305, 777, 2696, 676, 631, 261, 300, 2008, 31549, 519, 2241, 813, 518, 766, 540, 513, 3440, 575, 698, 454, 268, 20429, 634, 3593, 19299, 811, 982, 835, 9739, 789, 616, 2111, 547, 946, 8195, 543, 1174, 2406, 563, 268, 23008, 2065, 2667, 574, 7976, 910, 917, 1776, 835, 781, 1893, 998, 2168, 3346, 563, 268, 5741, 633, 15345, 333, 13308, 1143, 910, 12520, 513, 2361, 602, 18922, 1169, 1893, 9275, 3330, 621, 267, 4929, 3025, 547, 1174, 1018, 1866, 616, 6340, 563, 268, 1234, 21082, 15345, 333, 13308, 1143, 910, 519, 8144, 540, 1022, 2854, 1893, 883, 519, 3593, 781, 1378, 5065, 11469, 267, 610, 998, 1016, 3916, 1400, 20932, 540, 1018, 676, 2168, 2792, 1797, 269, 901, 2702, 949, 1256, 2308, 7658, 12949, 545, 12200, 267, 1141, 519, 2618, 545, 1648, 568, 1224, 630, 2421, 6217, 610, 8289, 264, 547, 1174, 1018, 519, 5048, 568, 5921, 547, 6655, 269, 0, 9213, 267, 2817, 21191, 308, 310, 5950, 519, 1034, 3102, 2079, 547, 4266, 593, 3466, 538, 3872, 9740, 676, 4008, 267, 5198, 270, 30710, 640, 267, 543, 4747, 269, 634, 1867, 267, 7316, 519, 21989, 3657, 281, 634, 12700, 6168, 13834, 24054, 538, 4065, 267, 6799, 513, 3102, 1413, 693, 6690, 685, 3872, 9740, 1282, 519, 2250, 476, 3374, 1296, 267, 9878, 2027, 3007, 547, 519, 2078, 1063, 6690, 685, 543, 8695, 685, 3356, 563, 1607, 1867, 2982, 602, 6690, 543, 8695, 689, 519, 8772, 3446, 998, 519, 1439, 540, 2852, 616, 1818, 11931, 3872, 12374, 269, 898, 568, 849, 519, 1101, 1867, 547, 5659, 4008, 3604, 1369, 2804, 543, 6803, 6688, 563, 6624, 2923, 19093, 616, 2907, 8989, 713, 1650, 269, 1411, 666, 948, 3262, 519, 2262, 827, 21191, 308, 310, 779, 1007, 1382, 676, 6085, 532, 593, 519, 2984, 543, 21075, 267, 4358, 609, 1346, 7396, 2630, 563, 2026, 540, 476, 272, 533, 6230, 269, 593, 13638, 267, 519, 6115, 5403, 454, 32143, 827, 21191, 308, 310, 779, 1867, 729, 519, 2034, 1034, 552, 2173, 9229, 2376, 593, 741, 3896, 267, 543, 811, 982, 476, 3583, 3988, 1185, 11540, 8292, 269, 7324, 824, 2923, 19093, 267, 649, 723, 2907, 4607, 3795, 689, 454, 763, 1715, 3840, 8648, 454, 763, 9931, 9335, 4750, 454, 763, 28631, 5403, 454, 763, 19134, 5112, 3938, 656, 454, 10000, 5765, 8613, 3292, 602, 786, 4183, 519, 21191, 308, 310, 1867, 1331, 32282, 685, 5240, 295, 712, 609, 13343, 2274, 327, 17243, 543, 1677, 519, 2552, 9009, 269, 6744, 707, 2199, 1592, 902, 585, 891, 13739, 338, 2221, 543, 11016, 267, 6606, 267, 10023, 11042, 609, 21191, 308, 310, 15445, 10615, 27692, 667, 269, 8065, 2006, 267, 11404, 292, 563, 7922, 9233, 10023, 519, 21191, 308, 310, 1867, 865, 2484, 1331, 4065, 10432, 779, 661, 706, 342, 517, 8208, 974, 267, 519, 1977, 7027, 593, 4065, 267, 543, 7454, 4065, 4653, 269, 1284, 5000, 596, 547, 3643, 891, 4609, 543, 6085, 827, 519, 1382, 610, 6443, 519, 6643, 593, 519, 21191, 308, 310, 12480, 690, 5816, 269, 8080, 547, 12504, 19761, 2336, 290, 641, 625, 540, 7316, 519, 21989, 3657, 949, 581, 22434, 1863, 689, 519, 21191, 308, 310, 3896, 267, 8940, 18502, 879, 342, 3820, 269, 0, 2691, 519, 1560, 1281, 711, 3132, 7378, 267, 1826, 476, 272, 3987, 630, 528, 7378, 17466, 3987, 264, 10953, 269, 4014, 1826, 476, 272, 568, 1034, 1419, 8995, 538, 1453, 610, 1762, 4079, 267, 519, 2068, 666, 10880, 693, 1022, 2085, 269, 1879, 519, 1560, 1281, 711, 3132, 2614, 7378, 610, 1281, 711, 946, 621, 5265, 267, 1826, 476, 273, 3987, 630, 528, 7378, 4187, 3987, 264, 10953, 269, 7392, 476, 273, 568, 1034, 1419, 8995, 538, 14968, 4079, 2085, 476, 2412, 266, 609, 513, 1920, 1686, 540, 3987, 267, 2705, 267, 621, 568, 4742, 5051, 1455, 538, 7820, 1004, 267, 2523, 10708, 269, 4746, 267, 1978, 7292, 543, 6803, 2516, 5025, 325, 878, 534, 31787, 267, 7489, 31787, 267, 5824, 657, 543, 7111, 4892, 268, 732, 811, 12155, 547, 3987, 269, 10705, 267, 1826, 476, 273, 2589, 1020, 7930, 267, 865, 1004, 949, 723, 519, 2068, 585, 3275, 610, 1296, 1354, 621, 568, 8995, 269, 4107, 1004, 945, 1020, 1826, 476, 273, 3987, 1101, 8858, 4191, 540, 840, 26817, 3449, 267, 609, 1973, 7280, 2157, 11506, 855, 2630, 519, 3987, 2039, 16638, 713, 3296, 267, 596, 666, 1265, 2417, 1344, 827, 519, 1114, 28944, 593, 3987, 543, 824, 2010, 540, 7280, 22166, 912, 268, 7392, 476, 272, 3987, 454, 268, 7392, 476, 273, 3987, 454, 268, 30123, 1049, 3987, 454, 268, 4678, 550, 16790, 14545, 12128, 540, 20661, 630, 299, 4696, 288, 994, 268, 4223, 12053, 14114, 985, 564, 12128, 540, 519, 8479, 630, 300, 7495, 312, 994, 6524, 3384, 1826, 476, 273, 3987, 267, 1034, 1004, 1397, 2589, 540, 840, 26817, 3449, 267, 513, 2783, 538, 799, 1973, 7280, 2157, 2268, 2362, 982, 3339, 855, 711, 607, 1164, 607, 621, 1281, 609, 3987, 269, 4658, 609, 840, 26817, 3449, 910, 476, 8064, 2929, 4892, 267, 610, 476, 3374, 2600, 540, 772, 2529, 269, 4079, 910, 3068, 606, 2799, 1981, 540, 3384, 1826, 476, 273, 3987, 1369, 513, 8717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1582, 19657, 267, 1582, 4877, 14790, 267, 1582, 4877, 325, 994, 825, 1219, 2301, 320, 290, 755, 334, 13051, 1030, 545, 1470, 4311, 2187, 1038, 2132, 16733, 1345, 19657, 266, 1345, 4877, 14790, 266, 1345, 4877, 325, 264, 1315, 630, 1345, 17679, 4917, 13872, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 834, 20719, 271, 9574, 2715, 272, 16585, 2668, 8971, 4311, 17679, 267, 1582, 12991, 341, 2020, 8931, 0, 5035, 7066, 11155, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3520, 320, 10267, 326, 3385, 267, 3520, 320, 306, 4660, 320, 2187, 1038, 1582, 14857, 1817, 320, 10267, 326, 3385, 815, 3520, 320, 10267, 326, 3385, 454, 1038, 1582, 14857, 1817, 320, 306, 4660, 320, 815, 3520, 320, 306, 4660, 320, 454, 1038, 1582, 14857, 31184, 334, 294, 770, 334, 815, 703, 4311, 14857, 1817, 320, 10267, 326, 3385, 264, 910, 703, 4311, 14857, 1817, 320, 306, 4660, 320, 2020, 825, 1219, 32171, 294, 770, 334, 4311, 2187, 1038, 2132, 1582, 14857, 31184, 334, 294, 770, 334, 22562, 825, 1219, 3520, 320, 10267, 326, 3385, 630, 1345, 2187, 1038, 2132, 1582, 14857, 1817, 320, 10267, 326, 3385, 28329, 825, 1219, 3520, 320, 306, 4660, 320, 630, 1345, 2187, 1038, 2132, 1582, 14857, 1817, 320, 306, 4660, 320, 22562, 825, 1219, 6449, 18091, 9191, 1345, 267, 856, 549, 2187, 1038, 2132, 703, 4311, 14857, 1817, 320, 10267, 326, 3385, 264, 2652, 703, 263, 719, 549, 14857, 1817, 320, 10267, 326, 3385, 264, 543, 703, 4311, 14857, 1817, 320, 306, 4660, 320, 264, 2652, 703, 263, 719, 549, 14857, 1817, 320, 306, 4660, 320, 994, 13872, 825, 1219, 6449, 2741, 1029, 630, 1345, 267, 856, 549, 2187, 1038, 2132, 703, 4311, 14857, 1817, 320, 10267, 326, 3385, 264, 2999, 703, 263, 719, 549, 14857, 1817, 320, 10267, 326, 3385, 264, 3097, 0, 258, 10780, 23485, 9261, 21268, 28314, 12811, 3264, 13077, 26580, 13077, 454, 3698, 1250, 318, 9792, 32384, 18045, 2187, 825, 1293, 815, 476, 271, 454, 825, 1247, 1293, 2999, 3193, 18045, 912, 1038, 6556, 1293, 454, 1038, 1293, 6834, 476, 272, 7531, 258, 10780, 23485, 9261, 21268, 11012, 5284, 379, 4814, 22147, 13077, 9261, 9261, 9924, 630, 26580, 4344, 2843, 370, 3264, 28314, 12811, 3264, 13077, 4344, 18775, 267, 14359, 3378, 16068, 4709, 14359, 3264, 29824, 3378, 4138, 13194, 8563, 19757, 4138, 4344, 23970, 20265, 10948, 23845, 4138, 9326, 267, 25602, 10780, 30324, 16417, 16648, 31124, 20046, 15800, 17153, 17107, 258, 11012, 7846, 31224, 6556, 11714, 476, 4344, 21134, 267, 24893, 26580, 16068, 20265, 17095, 3522, 7549, 25338, 9924, 16044, 483, 4138, 16648, 4138, 4814, 4709, 3264, 13953, 28821, 4344, 630, 3522, 11012, 16021, 7549, 3264, 264, 11012, 3378, 13150, 3378, 9326, 17221, 3264, 20413, 20046, 19757, 3522, 270, 32553, 7846, 4709, 7549, 30530, 4138, 630, 7549, 18775, 7846, 28821, 21162, 13211, 258, 11714, 17095, 30324, 18775, 21134, 6556, 25338, 9924, 6459, 11714, 9924, 13194, 27593, 4709, 267, 18194, 3378, 476, 16021, 17153, 10780, 18775, 267, 10780, 30718, 3522, 14359, 3264, 25338, 7846, 9686, 20046, 11714, 5284, 371, 29652, 4709, 13833, 6459, 12811, 3378, 11714, 9924, 10528, 17201, 4709, 23845, 3264, 17095, 18775, 7846, 28821, 21162, 10780, 7846, 16021, 9261, 11714, 9924, 13194, 13833, 3522, 20413, 20046, 19757, 3522, 6494, 454, 3698, 6067, 335, 263, 6312, 1181, 2187, 825, 1820, 2891, 326, 10517, 1376, 907, 23528, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 1948, 476, 4344, 7846, 4344, 6556, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 27671, 18194, 31124, 24893, 4344, 23845, 9326, 256, 11012, 9261, 269, 14359, 4138, 21833, 3264, 11714, 9924, 13194, 13833, 20413, 20046, 19757, 3522, 6494, 454, 2018, 1899, 815, 6556, 454, 2018, 952, 4806, 538, 1899, 912, 3546, 1820, 263, 1467, 994, 1038, 4849, 681, 29025, 13286, 607, 608, 912, 2018, 1820, 2891, 322, 2255, 5470, 281, 14307, 608, 994, 1038, 4849, 31098, 2750, 527, 912, 2018, 1820, 2891, 326, 10517, 3247, 5602, 2018, 2736, 7531, 258, 17095, 18775, 7846, 28821, 20265, 268, 29652, 21268, 4344, 18547, 267, 17095, 3378, 26580, 13077, 9326, 11714, 5284, 371, 8563, 13077, 27569, 3522, 20046, 11714, 4709, 7846, 4344, 4814, 12811, 4709, 19628, 19628, 17095, 18775, 7846, 28821, 4709, 7846, 454, 3698, 6067, 335, 318, 537, 614, 263, 6312, 1181, 2187, 825, 575, 815, 6067, 335, 263, 6312, 1181, 994, 825, 6556, 689, 575, 7531, 1721, 1775, 538, 1250, 318, 9792, 263, 274, 2187, 825, 1820, 9217, 2020, 258, 575, 815, 6067, 335, 2891, 7090, 5602, 258, 1985, 14116, 994, 258, 575, 4732, 754, 2891, 1375, 326, 5602, 258, 575, 4732, 754, 2891, 8627, 9226, 30974, 261, 5602, 258, 575, 269, 628, 992, 27562, 29025, 13286, 267, 834, 338, 754, 5470, 547, 1351, 719, 710, 5602, 258, 575, 25379, 4590, 258, 326, 4732, 754, 2891, 338, 754, 547, 6806, 1351, 719, 710, 8442, 672, 1948, 11714, 9924, 13194, 13833, 20046, 15800, 4736, 7549, 6459, 19628, 10948, 23845, 3264, 17547, 296, 614, 566, 692, 326, 273, 815, 6067, 335, 318, 537, 614, 2891, 273, 5602, 258, 16068, 4736, 29652, 12811, 21170, 13150, 9841, 281, 11714, 17095, 18775, 7846, 28821, 4709, 7846, 834, 273, 268, 22147, 3378, 27188, 4814, 13833, 4709, 9326, 257, 11012, 10528, 21268, 27593, 21660, 9686, 3378, 30935, 4736, 6459, 28476, 7183, 267, 15800, 20265, 10948, 3264, 16068, 20732, 4138, 16648, 18547, 454, 326, 273, 4732, 754, 263, 14085, 264, 567, 1948, 15800, 20434, 11714, 30324, 476, 25000, 7549, 281, 1985, 14116, 273, 994, 326, 273, 4732, 754, 2891, 11277, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 268, 16202, 9650, 2685, 281, 16202, 14887, 269, 18564, 519, 6492, 267, 9403, 267, 543, 4778, 540, 707, 1426, 563, 268, 17266, 2389, 2532, 281, 1684, 835, 4305, 693, 513, 942, 269, 12315, 621, 707, 2407, 3007, 563, 268, 623, 1021, 9737, 570, 3696, 281, 6875, 2110, 9397, 269, 14484, 593, 707, 4606, 543, 4555, 563, 18698, 20154, 13756, 1280, 28740, 13458, 454, 306, 2869, 3770, 2853, 1921, 596, 547, 1945, 8273, 269, 1358, 3142, 4708, 543, 1543, 618, 269, 8347, 1114, 3283, 547, 1294, 1018, 7959, 1318, 269, 6333, 891, 2853, 912, 16085, 527, 23900, 269, 10312, 593, 707, 7362, 610, 513, 16051, 571, 563, 347, 23382, 710, 3350, 267, 7244, 267, 543, 9066, 563, 30106, 1779, 547, 513, 2362, 1379, 269, 18124, 14696, 610, 3343, 5583, 563, 347, 2237, 1524, 4555, 543, 4606, 269, 898, 6770, 9355, 543, 1620, 563, 25444, 779, 5289, 3460, 568, 2189, 269, 4855, 2853, 602, 13469, 609, 596, 269, 1358, 1058, 1118, 596, 1745, 12560, 543, 16135, 269, 5457, 267, 11007, 568, 1883, 538, 1312, 11009, 543, 5289, 9716, 563, 32382, 2657, 6176, 454, 763, 3460, 998, 1072, 543, 8171, 1419, 5012, 547, 513, 5318, 4262, 540, 1344, 269, 17553, 13743, 593, 713, 3460, 1797, 1565, 547, 6330, 1072, 1344, 3927, 563, 24066, 15070, 17796, 2986, 2657, 31876, 454, 307, 6412, 18976, 1072, 5796, 568, 2629, 269, 1677, 1265, 6325, 5583, 912, 268, 6333, 519, 2707, 269, 2422, 18019, 4609, 609, 2564, 22754, 563, 268, 6744, 585, 2963, 269, 6733, 585, 5796, 20483, 676, 3621, 1382, 563, 268, 16418, 10311, 269, 2657, 5796, 2242, 267, 865, 1265, 519, 5767, 1344, 563, 268, 20128, 2699, 17514, 269, 2142, 530, 776, 540, 2656, 4368, 525, 610, 27803, 524, 999, 563, 16485, 4966, 269, 24930, 543, 3782, 7426, 2709, 10531, 4030, 563, 763, 10020, 2986, 9608, 1242, 6925, 454, 23114, 1242, 4915, 2766, 832, 3782, 547, 1367, 2115, 563, 19119, 540, 10531, 4915, 1331, 912, 268, 28080, 9643, 5574, 602, 960, 1732, 585, 519, 3461, 563, 268, 25841, 2427, 2360, 267, 1818, 2126, 4443, 563, 268, 31478, 1416, 9494, 942, 543, 2200, 563, 3528, 1210, 4719, 1344, 267, 3782, 27372, 547, 9290, 1142, 1268, 563, 13480, 609, 3782, 7426, 547, 2263, 891, 3681, 563, 21761, 18542, 5999, 1280, 2657, 1656, 4270, 7424, 454, 1432, 3657, 12708, 23554, 7530, 1280, 4270, 7424, 888, 309, 527, 7530, 589, 267, 595, 267, 667, 267, 661, 267, 607, 1134, 607, 645, 10687, 14658, 267, 616, 4105, 585, 2949, 8171, 269, 1358, 1489, 4761, 1599, 267, 5642, 1072, 267, 543, 1973, 1072, 269, 589, 7059, 2732, 3335, 2488, 782, 2556, 8324, 563, 1692, 6496, 12619, 18748, 2657, 888, 26660, 3207, 568, 2629, 585, 2168, 543, 2790, 1072, 269, 898, 11226, 538, 7067, 267, 6051, 267, 543, 5042, 3252, 899, 3965, 269, 20661, 1058, 2832, 585, 476, 278, 268, 280, 3108, 540, 3207, 3781, 569, 563, 4692, 13262, 8177, 8447, 2657, 888, 27028, 5193, 569, 267, 2566, 666, 1291, 547, 2168, 2589, 971, 607, 14331, 267, 1164, 1973, 2604, 267, 543, 9221, 1928, 269, 18127, 2566, 949, 849, 2333, 519, 1981, 540, 5312, 3676, 269, 19737, 2566, 568, 1898, 585, 1434, 1072, 563, 1432, 1772, 634, 10020, 2986, 10281, 1674, 769, 4270, 5630, 888, 288, 1372, 12930, 20697, 568, 1883, 585, 4509, 15629, 3252, 269, 898, 2337, 538, 8770, 6765, 267, 12536, 267, 543, 2837, 7939, 269, 20661, 1058, 8532, 827, 476, 273, 20990, 267, 610, 476, 279, 14296, 267, 540, 1216, 3232, 563, 21615, 571, 1424, 513, 2635, 6197, 21810, 2729, 269, 898, 6770, 21755, 543, 7772, 267, 1898, 585, 2949, 1134, 5630, 269, 26875, 1125, 6484, 267, 3635, 267, 543, 2790, 1072, 269, 3399, 1507, 609, 2242, 585, 513, 4264, 3460, 269, 5457, 267, 9716, 568, 513, 2123, 7045, 282, 585, 613, 707, 2619, 547, 513, 14762, 1272, 269, 0, 5522, 1218, 543, 12405, 538, 594, 651, 3316, 320, 454, 309, 1112, 18319, 7402, 21590, 2899, 1586, 9284, 525, 721, 538, 519, 1158, 540, 594, 651, 3316, 320, 267, 519, 3504, 5545, 27536, 1148, 799, 267, 998, 519, 6297, 4999, 540, 1114, 2030, 2249, 267, 21314, 547, 10141, 519, 9759, 540, 519, 2713, 547, 1346, 945, 14719, 622, 922, 13144, 269, 2201, 713, 8317, 1352, 20217, 721, 547, 2263, 513, 1007, 5133, 593, 519, 2078, 540, 713, 9015, 609, 2470, 543, 519, 12405, 540, 519, 1032, 563, 7617, 2030, 2249, 616, 1031, 538, 594, 651, 3316, 320, 454, 7212, 621, 568, 1034, 1455, 547, 1294, 8371, 543, 13035, 5810, 21882, 606, 594, 651, 3316, 320, 267, 824, 2694, 540, 2371, 666, 849, 581, 851, 540, 621, 543, 3565, 741, 29010, 543, 15312, 269, 1234, 2644, 971, 607, 19348, 267, 11315, 13626, 267, 959, 16218, 267, 11710, 609, 5347, 610, 7745, 3515, 267, 1762, 22534, 267, 3376, 267, 15123, 1506, 3762, 267, 7542, 985, 267, 6806, 19512, 267, 15708, 267, 15489, 12258, 10696, 1236, 3305, 8460, 267, 10540, 338, 267, 5452, 971, 607, 1346, 8659, 538, 519, 30011, 8768, 267, 22192, 5072, 267, 5613, 267, 11922, 267, 1256, 30114, 639, 14369, 267, 6132, 1156, 267, 10007, 267, 5070, 610, 23419, 616, 782, 2609, 602, 666, 581, 1031, 538, 519, 12417, 269, 27009, 267, 1256, 1875, 5991, 1823, 2326, 723, 2097, 547, 581, 11368, 538, 1863, 543, 4207, 6163, 563, 12218, 673, 594, 651, 3316, 320, 568, 5532, 547, 1978, 30118, 1738, 2030, 2249, 4171, 12572, 1871, 568, 1644, 547, 741, 10362, 547, 519, 5251, 282, 789, 723, 17271, 2418, 971, 607, 741, 21064, 1915, 610, 741, 3134, 31906, 531, 15496, 269, 1809, 849, 2686, 2418, 267, 14165, 673, 267, 12572, 12205, 267, 799, 2285, 873, 968, 611, 4765, 892, 10096, 269, 594, 786, 2446, 930, 540, 873, 281, 519, 2025, 2085, 540, 12566, 4054, 267, 741, 2620, 3039, 1145, 543, 741, 16608, 267, 3142, 513, 2631, 540, 8653, 543, 942, 607, 1134, 607, 513, 2631, 540, 7326, 547, 606, 11460, 269, 645, 16656, 6770, 519, 25664, 566, 540, 8112, 543, 1769, 1145, 540, 13916, 267, 607, 1134, 607, 519, 5898, 540, 556, 2644, 543, 519, 1769, 1145, 540, 741, 3762, 269, 634, 15496, 8371, 540, 519, 20034, 610, 22269, 3529, 4163, 519, 5048, 540, 519, 2132, 540, 1272, 1310, 519, 5162, 609, 741, 10731, 543, 1507, 32395, 269, 6682, 749, 807, 267, 669, 24075, 656, 1335, 636, 267, 610, 890, 3415, 723, 1044, 12926, 1031, 538, 8106, 12417, 267, 607, 723, 561, 25788, 269, 2353, 540, 873, 616, 6923, 6738, 538, 3567, 543, 616, 5702, 2404, 609, 519, 12405, 538, 799, 789, 16036, 267, 855, 789, 849, 723, 12572, 2418, 269, 634, 2603, 639, 267, 519, 30118, 1738, 8768, 540, 13221, 267, 568, 513, 25386, 8998, 543, 513, 3090, 540, 32193, 602, 568, 849, 1031, 538, 8106, 594, 651, 3316, 320, 563, 1103, 594, 651, 3316, 320, 267, 607, 513, 7279, 267, 594, 786, 2995, 596, 602, 711, 1152, 519, 829, 27720, 851, 540, 519, 12417, 568, 1759, 593, 2371, 267, 972, 616, 1256, 11149, 1500, 609, 10448, 2326, 269, 4014, 1034, 540, 873, 616, 1500, 540, 17375, 267, 1990, 1495, 657, 267, 7299, 8043, 1500, 540, 1360, 5394, 19348, 666, 525, 540, 519, 17018, 334, 1826, 267, 543, 911, 903, 1500, 540, 5386, 18955, 666, 525, 610, 22725, 638, 1229, 3574, 267, 616, 849, 1360, 2442, 269, 4787, 559, 2685, 18955, 30504, 616, 3810, 12595, 267, 543, 11308, 8043, 616, 849, 1500, 282, 1256, 930, 17860, 539, 13050, 575, 712, 1091, 666, 581, 1031, 607, 8043, 563, 1692, 2371, 1711, 10103, 538, 594, 651, 3316, 320, 454, 1103, 594, 651, 3316, 320, 267, 519, 1114, 2516, 540, 2371, 616, 5916, 267, 855, 789, 616, 711, 6404, 267, 1142, 1826, 30939, 922, 1378, 1858, 543, 7700, 922, 1378, 2769, 4369, 269, 1358, 616, 3592, 2141, 1031, 538, 4334, 267, 543, 607, 649, 723, 5018, 538, 3105, 4930, 267, 10747, 12623, 5471, 1845, 1759, 593, 21083, 14565, 269, 769, 519, 12205, 540, 2030, 2249, 267, 799, 616, 519, 2283, 783, 543, 2283, 3645, 2707, 540, 519, 4482, 4369, 540, 519, 11460, 267, 972, 568, 606, 12819, 4282, 281, 519, 7681, 540, 2371, 676, 968, 1910, 5404, 4331, 892, 610, 267, 607, 570, 1115, 1755, 654, 1846, 583, 10202, 267, 14544, 543, 16159, 540, 5251, 19795, 267, 12662, 621, 267, 676, 968, 322, 784, 523, 658, 640, 6100, 12518, 798, 711, 1205, 593, 1317, 540, 741, 16726, 610, 11696, 28917, 267, 855, 1317, 540, 741, 12119, 543, 5251, 25843, 269, 769, 594, 651, 3316, 320, 267, 3079, 540, 3168, 585, 16726, 540, 3029, 610, 15437, 267, 649, 1413, 585, 4334, 267, 513, 1978, 14911, 11685, 538, 799, 649, 3605, 519, 8353, 24312, 18398, 5251, 21443, 640, 563, 1607, 568, 1141, 11585, 543, 4005, 2097, 883, 1404, 269, 4014, 519, 2249, 1106, 513, 17804, 11460, 267, 2371, 689, 519, 1482, 20296, 1858, 543, 693, 519, 1482, 942, 540, 519, 1032, 2285, 513, 2067, 25843, 547, 519, 594, 651, 3316, 320, 269, 901, 4667, 6654, 267, 855, 2221, 779, 1569, 547, 15496, 2249, 538, 513, 1360, 11397, 851, 540, 519, 4541, 543, 538, 1776, 21571, 610, 20173, 267, 4547, 676, 32550, 1235, 547, 1022, 1747, 538, 938, 4872, 267, 2306, 721, 2887, 883, 519, 31112, 547, 3575, 9341, 2249, 609, 19211, 689, 513, 18626, 2916, 267, 1818, 10169, 737, 626, 577, 15885, 1510, 1454, 2631, 269, 901, 568, 711, 606, 796, 4818, 668, 2358, 4341, 267, 540, 1576, 267, 855, 621, 568, 4502, 12946, 538, 2247, 713, 3815, 602, 7125, 585, 2463, 585, 2470, 267, 711, 547, 968, 2452, 892, 609, 621, 2687, 547, 938, 13821, 267, 855, 547, 6432, 547, 621, 543, 1451, 689, 621, 563, 29670, 538, 519, 24781, 267, 610, 2348, 513, 4677, 267, 910, 20365, 1378, 610, 1346, 540, 7874, 30256, 19985, 1797, 602, 938, 12417, 2226, 519, 2067, 865, 321, 686, 1214, 267, 799, 2636, 721, 547, 2769, 519, 1093, 7497, 543, 5898, 540, 519, 5251, 269, 12287, 958, 267, 594, 2628, 513, 2603, 540, 3007, 547, 18309, 267, 543, 594, 9156, 519, 5063, 2759, 3788, 538, 519, 10651, 547, 1118, 594, 651, 3316, 320, 563, 15650, 540, 10664, 2687, 547, 741, 7907, 538, 594, 651, 3316, 320, 454, 16498, 7907, 543, 12716, 7907, 616, 835, 543, 519, 1482, 538, 594, 651, 3316, 320, 269, 634, 2030, 3091, 519, 2556, 29010, 547, 519, 1148, 269, 634, 594, 651, 3316, 320, 7376, 5368, 614, 2181, 1206, 1107, 1247, 18245, 519, 2470, 540, 1142, 2030, 1107, 922, 1898, 7907, 563, 2467, 568, 606, 22566, 8760, 585, 2030, 2249, 538, 594, 651, 3316, 320, 269, 1358, 616, 2808, 547, 581, 737, 30266, 334, 267, 737, 639, 17868, 334, 543, 512, 338, 8500, 14137, 334, 269, 634, 2298, 540, 519, 4054, 543, 741, 29762, 2339, 568, 737, 30266, 334, 269, 634, 10786, 17675, 267, 4043, 19907, 267, 17642, 880, 22554, 5810, 616, 737, 639, 17868, 334, 269, 634, 2694, 602, 7119, 538, 1312, 7907, 616, 512, 338, 8500, 14137, 334, 543, 616, 1031, 607, 513, 2178, 851, 910, 528, 16403, 517, 334, 1700, 952, 5916, 609, 10786, 17675, 282, 543, 593, 519, 14669, 267, 789, 798, 519, 586, 514, 267, 2571, 543, 13035, 1599, 1107, 330, 639, 17868, 334, 1700, 950, 5916, 609, 6793, 8371, 269, 7324, 519, 8545, 568, 519, 4342, 749, 807, 267, 799, 666, 1685, 782, 3252, 269, 769, 2582, 2173, 1468, 12417, 267, 713, 568, 1419, 512, 338, 8500, 14137, 334, 269, 1656, 621, 568, 1419, 513, 15496, 3529, 610, 21906, 269, 2311, 513, 1978, 942, 540, 519, 1032, 267, 513, 4342, 749, 807, 7936, 267, 29762, 543, 2178, 267, 609, 19512, 267, 3039, 3762, 543, 1930, 5810, 3568, 3388, 543, 949, 711, 991, 1022, 4831, 4812, 547, 581, 1031, 4805, 538, 606, 594, 651, 3316, 320, 282, 538, 513, 2582, 2030, 972, 568, 519, 4222, 540, 519, 7936, 267, 519, 28033, 1272, 540, 519, 6978, 267, 519, 3134, 31906, 531, 543, 7990, 995, 9983, 540, 519, 8768, 267, 519, 9153, 540, 519, 2104, 538, 519, 5229, 563, 763, 29010, 543, 519, 1093, 7497, 540, 2371, 538, 594, 651, 3316, 320, 454, 763, 1101, 12716, 7156, 585, 513, 2030, 1354, 1818, 606, 594, 651, 3316, 320, 568, 519, 1353, 540, 922, 695, 1380, 14833, 267, 519, 1808, 7209, 540, 519, 2030, 610, 2371, 547, 581, 1031, 267, 922, 5068, 7907, 630, 341, 580, 712, 267, 7990, 267, 9403, 267, 17114, 543, 5546, 1070, 519, 27763, 6384, 543, 2497, 540, 922, 2208, 563, 1103, 519, 6891, 543, 4082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 782, 6009, 4125, 519, 1482, 3232, 4247, 607, 938, 1699, 835, 269, 1809, 1346, 616, 1175, 7851, 538, 938, 2247, 910, 519, 8513, 267, 610, 1018, 781, 2731, 856, 972, 267, 15320, 269, 5455, 323, 908, 938, 2790, 7851, 547, 811, 5702, 6474, 519, 8513, 5012, 547, 1732, 5079, 543, 1447, 9670, 13341, 609, 519, 6397, 563, 763, 834, 14090, 568, 711, 519, 8513, 257, 568, 513, 1883, 2856, 538, 4610, 899, 7607, 267, 7787, 3206, 267, 543, 5042, 6530, 269, 18227, 606, 1930, 543, 8049, 14820, 5059, 593, 1018, 781, 2731, 972, 2864, 982, 938, 26608, 8526, 2337, 721, 3035, 938, 3853, 543, 2744, 513, 811, 4977, 1620, 540, 519, 1158, 563, 314, 539, 1243, 609, 19863, 324, 316, 0, 2704, 4022, 1143, 519, 8376, 4340, 547, 519, 32680, 23369, 3896, 267, 968, 1103, 476, 1001, 273, 267, 607, 1082, 607, 476, 9262, 269, 277, 2600, 540, 1977, 4079, 936, 2085, 476, 1240, 941, 4080, 538, 513, 14408, 295, 5960, 288, 2507, 13231, 344, 547, 723, 10057, 4568, 693, 930, 1448, 538, 741, 2729, 2507, 763, 2817, 23941, 540, 2657, 2507, 652, 13846, 602, 476, 1704, 2929, 4079, 538, 519, 2136, 2276, 538, 476, 1001, 273, 1185, 606, 4568, 946, 4524, 892, 12462, 291, 1047, 848, 2507, 26158, 27051, 835, 538, 1169, 476, 1321, 1004, 2901, 616, 705, 6748, 4568, 267, 610, 789, 616, 4742, 267, 952, 711, 616, 267, 9601, 540, 29015, 630, 13233, 2507, 1040, 15850, 4616, 568, 2523, 1634, 538, 938, 2486, 779, 2528, 269, 1703, 616, 3875, 1004, 945, 899, 547, 4235, 1169, 1631, 543, 1586, 538, 20208, 282, 2705, 267, 972, 616, 2484, 1932, 1082, 1004, 945, 6057, 519, 4568, 543, 949, 1256, 581, 4625, 8200, 593, 621, 269, 11153, 454, 2704, 4022, 2422, 13081, 267, 1034, 4122, 1634, 607, 15850, 18816, 610, 15850, 667, 11163, 267, 568, 4922, 1634, 607, 1966, 602, 4386, 609, 2043, 945, 27499, 606, 11999, 2179, 540, 4568, 593, 513, 2834, 4493, 1419, 538, 513, 2582, 946, 269, 634, 1367, 568, 10057, 609, 519, 2219, 540, 6704, 1034, 540, 519, 454, 763, 4568, 6057, 4214, 568, 2147, 547, 29015, 538, 602, 538, 1312, 2665, 4568, 568, 4929, 2800, 547, 519, 4235, 518, 1412, 338, 1272, 543, 1346, 1472, 873, 269, 634, 3017, 568, 602, 1346, 945, 6057, 4568, 267, 855, 616, 711, 2943, 4568, 923, 267, 3335, 666, 2322, 930, 7687, 593, 741, 6704, 543, 789, 723, 711, 2943, 1831, 9308, 29279, 547, 4568, 269, 634, 1883, 547, 519, 4568, 6057, 4214, 568, 711, 538, 519, 2179, 540, 4568, 10057, 855, 593, 875, 621, 5540, 606, 1367, 269, 15850, 6057, 568, 513, 17867, 5868, 538, 799, 972, 568, 18596, 5739, 946, 540, 19844, 5103, 922, 2942, 12343, 269, 769, 476, 1001, 274, 621, 729, 556, 5035, 1881, 607, 4568, 946, 4524, 2059, 609, 4568, 13829, 269, 1703, 616, 1079, 2010, 540, 4568, 6057, 267, 1346, 945, 723, 4550, 1606, 3469, 543, 12257, 454, 5719, 3630, 568, 513, 5230, 23931, 602, 10425, 1247, 717, 822, 514, 568, 1459, 269, 1546, 3630, 849, 11479, 1247, 896, 519, 3310, 1247, 519, 1126, 568, 1459, 282, 1546, 3630, 814, 1044, 538, 1286, 10913, 543, 519, 1286, 729, 2698, 539, 856, 269, 1703, 616, 1004, 538, 543, 856, 540, 519, 1753, 1419, 602, 2097, 547, 519, 1753, 547, 4235, 543, 5428, 609, 1546, 3630, 543, 1200, 9393, 269, 5565, 3275, 1354, 713, 1867, 729, 1500, 267, 1546, 3630, 2451, 717, 822, 514, 538, 519, 1753, 609, 13343, 3240, 269, 2755, 693, 519, 1753, 13343, 3240, 4371, 513, 7784, 547, 1010, 2212, 17116, 547, 6146, 5128, 269, 634, 27680, 7150, 717, 822, 514, 1223, 581, 4862, 581, 21794, 13343, 3240, 711, 547, 6146, 5128, 609, 513, 1726, 3387, 1782, 5639, 269, 717, 822, 514, 5555, 15336, 1079, 10754, 936, 547, 1776, 20516, 779, 1753, 282, 513, 3659, 31434, 6592, 519, 3003, 10071, 269, 13343, 3240, 3217, 6527, 267, 646, 13978, 26583, 267, 543, 3217, 21447, 282, 1546, 3630, 454, 16039, 269, 589, 568, 513, 476, 2190, 4458, 6040, 267, 24272, 22057, 4775, 269, 2701, 729, 5219, 585, 513, 5626, 6268, 676, 1200, 13309, 585, 1200, 7050, 946, 540, 15850, 543, 28548, 18816, 13081, 269, 3958, 267, 15516, 269, 589, 7150, 1352, 814, 1044, 7680, 513, 2530, 540, 1719, 267, 1970, 1582, 12635, 543, 4743, 14221, 269, 2701, 5360, 1622, 602, 1200, 6560, 609, 6219, 6057, 814, 11874, 12936, 1200, 14375, 3347, 267, 8965, 267, 3929, 607, 1134, 607, 1200, 1072, 269, 634, 3483, 540, 519, 1699, 6268, 568, 547, 630, 272, 264, 6218, 1200, 1377, 540, 8647, 267, 630, 273, 264, 3313, 10368, 12705, 543, 630, 274, 264, 4363, 4143, 2126, 543, 3028, 2115, 563, 16031, 269, 1635, 337, 5886, 568, 15602, 543, 646, 2729, 896, 4446, 869, 779, 15167, 7304, 1157, 11089, 8566, 6352, 5244, 1141, 621, 4679, 1612, 8457, 807, 267, 2705, 646, 568, 3222, 540, 621, 519, 8594, 543, 917, 646, 568, 711, 2922, 4061, 4469, 20477, 1010, 2915, 4667, 547, 2149, 1864, 269, 1261, 12909, 827, 1310, 26809, 689, 519, 646, 18423, 609, 513, 8004, 23136, 543, 454, 4407, 519, 23931, 1590, 19140, 543, 960, 998, 741, 2042, 267, 1920, 13508, 568, 513, 13766, 1282, 2126, 269, 3683, 942, 267, 29015, 814, 513, 2178, 1764, 593, 519, 1920, 543, 2828, 540, 519, 4568, 923, 269, 3245, 519, 4719, 5057, 540, 8213, 547, 2078, 2298, 267, 1920, 2818, 616, 7920, 569, 3238, 538, 519, 8213, 269, 15850, 1143, 454, 2704, 4022, 1143, 1548, 568, 29015, 286, 15850, 1143, 568, 513, 5312, 2068, 1141, 513, 1268, 3587, 8200, 593, 4508, 528, 269, 2290, 538, 1169, 12964, 4079, 7985, 689, 15850, 1143, 269, 15850, 568, 835, 540, 519, 1034, 26884, 6219, 538, 519, 2136, 2276, 269, 1703, 616, 936, 476, 3199, 267, 1822, 2669, 538, 519, 2136, 2276, 1813, 547, 7050, 6704, 269, 15850, 1143, 814, 1082, 4408, 1079, 540, 519, 1034, 1455, 616, 15850, 2422, 13081, 267, 543, 15850, 667, 11163, 15540, 269, 589, 1268, 945, 568, 8200, 593, 4568, 568, 2356, 1572, 606, 23931, 563, 5141, 1304, 10742, 519, 5868, 540, 4049, 4568, 946, 4524, 630, 293, 1015, 269, 736, 1040, 9603, 547, 1010, 6024, 2042, 2404, 609, 4568, 946, 267, 2059, 609, 3668, 540, 865, 828, 1489, 1062, 543, 26739, 6604, 1983, 267, 7817, 666, 4324, 689, 519, 4568, 543, 3075, 2126, 563, 16908, 814, 513, 1259, 540, 18530, 540, 18530, 7455, 27750, 267, 855, 621, 568, 909, 547, 519, 1367, 547, 4308, 609, 621, 269, 2368, 1004, 4308, 609, 741, 2042, 676, 6704, 543, 851, 3539, 267, 607, 513, 1259, 547, 7340, 610, 10703, 531, 741, 1928, 1699, 610, 2250, 3871, 267, 824, 1004, 4043, 547, 4308, 609, 741, 2042, 538, 513, 811, 12809, 1259, 269, 22569, 1456, 606, 14595, 4641, 267, 8726, 519, 2013, 949, 581, 2043, 723, 1114, 2081, 540, 7231, 609, 741, 2152, 930, 616, 811, 2147, 982, 1866, 269, 769, 713, 1557, 267, 594, 786, 2491, 519, 10486, 543, 3604, 538, 1063, 1079, 3197, 689, 1079, 3964, 5830, 267, 715, 539, 11276, 8585, 18115, 689, 968, 454, 23562, 4868, 14633, 1296, 2025, 1250, 1647, 7015, 3459, 547, 4235, 7683, 593, 513, 2834, 4493, 269, 10819, 1394, 1753, 1185, 6766, 1864, 538, 6704, 267, 855, 849, 519, 1004, 646, 17047, 5128, 609, 1394, 1287, 269, 1261, 3576, 3833, 930, 942, 547, 7753, 1010, 8213, 267, 855, 1282, 1010, 883, 343, 5344, 8090, 646, 11696, 1194, 602, 540, 8841, 779, 1920, 269, 2290, 3781, 1282, 1250, 7015, 779, 883, 343, 1709, 1250, 7015, 1185, 2097, 1524, 547, 938, 2777, 547, 1205, 2476, 269, 1879, 1250, 7015, 678, 836, 519, 7450, 10428, 267, 594, 3533, 32357, 2509, 519, 7450, 267, 6679, 621, 547, 1265, 1250, 7015, 779, 4064, 1973, 3333, 582, 2699, 269, 29303, 538, 3068, 585, 2072, 646, 7444, 3576, 1018, 5433, 899, 835, 4627, 533, 2167, 547, 938, 2699, 4172, 577, 267, 799, 2907, 8659, 513, 1906, 7745, 20950, 593, 519, 2451, 31289, 269, 4495, 8757, 519, 3077, 646, 726, 641, 6244, 1524, 899, 513, 5230, 1433, 454, 5804, 519, 1657, 9183, 267, 621, 568, 2312, 519, 2582, 3993, 814, 4568, 6057, 2152, 543, 4057, 15970, 1983, 269, 4014, 267, 1200, 1514, 1604, 543, 1514, 4567, 2611, 21792, 267, 2943, 689, 519, 9183, 267, 621, 568, 10423, 1352, 568, 18621, 550, 827, 1200, 1453, 543, 4440, 4568, 21341, 11151, 1200, 689, 20170, 547, 5626, 2126, 269, 3962, 540, 891, 4648, 1590, 960, 538, 513, 20291, 1259, 609, 519, 31897, 538, 519, 16758, 607, 1134, 607, 1126, 1072, 2533, 547, 2638, 519, 4567, 540, 1453, 269, 1809, 1354, 23312, 585, 1022, 3656, 6304, 538, 713, 9183, 267, 519, 1126, 13309, 1590, 12840, 609, 519, 24468, 7247, 519, 7817, 1558, 676, 4960, 269, 4595, 267, 519, 24468, 666, 1683, 1344, 827, 519, 7817, 267, 1200, 4555, 827, 1126, 1416, 543, 1554, 454, 2704, 4022, 946, 4524, 630, 288, 11070, 264, 814, 513, 2101, 3084, 1072, 1764, 538, 519, 2136, 2276, 267, 7133, 936, 476, 1704, 2929, 1004, 267, 4929, 811, 982, 476, 1911, 267, 1822, 7972, 543, 28428, 936, 1269, 1220, 5479, 12422, 630, 289, 537, 30987, 1696, 620, 1421, 476, 1001, 272, 282, 16827, 1696, 620, 1421, 476, 1220, 275, 282, 10434, 6229, 267, 476, 1220, 271, 1040, 15850, 946, 543, 6057, 568, 4867, 519, 3791, 3056, 1981, 454, 288, 1268, 609, 513, 5868, 540, 15850, 2422, 13081, 814, 1082, 14323, 3681, 585, 2126, 269, 24103, 1670, 3681, 4465, 1406, 10826, 519, 4568, 946, 4524, 267, 855, 949, 948, 6175, 519, 20882, 547, 8532, 4568, 269, 769, 18345, 14317, 2126, 7740, 616, 606, 4781, 607, 538, 519, 7260, 476, 2764, 17963, 269, 1703, 568, 849, 30229, 3797, 454, 31890, 267, 590, 269, 661, 1421, 590, 19414, 267, 589, 269, 808, 1421, 30338, 267, 631, 269, 670, 1421, 12829, 267, 645, 269, 674, 1421, 8585, 18115, 267, 808, 269, 744, 1421, 5689, 821, 267, 667, 269, 918, 1421, 12722, 267, 570, 269, 681, 1421, 1849, 604, 848, 25206, 267, 590, 269, 700, 1421, 808, 3996, 577, 267, 808, 1421, 1299, 681, 625, 267, 681, 269, 918, 269, 630, 1001, 275, 1040, 15053, 5786, 609, 14278, 8839, 585, 15602, 1004, 609, 4568, 13829, 281, 16257, 585, 513, 19747, 6417, 4693, 269, 12634, 11916, 2558, 10118, 267, 0, 5804, 2295, 1072, 547, 6379, 610, 20418, 267, 26724, 1072, 543, 9716, 585, 2021, 568, 1898, 693, 1169, 3942, 540, 1272, 563, 19013, 267, 713, 3884, 1406, 2141, 606, 2653, 4305, 269, 1306, 649, 3068, 782, 519, 2242, 538, 938, 2729, 267, 971, 607, 4742, 513, 1007, 2385, 610, 4358, 513, 1007, 4876, 267, 621, 666, 581, 4101, 547, 2322, 6000, 1101, 563, 2080, 616, 930, 2081, 2021, 666, 4225, 741, 1072, 1210, 1426, 543, 6484, 563, 293, 19910, 543, 6379, 454, 2691, 3843, 547, 32230, 267, 4189, 513, 7059, 2732, 602, 568, 1164, 538, 5613, 267, 5388, 267, 2898, 9274, 267, 543, 10709, 5946, 666, 948, 2087, 12680, 543, 2333, 519, 8458, 540, 4742, 9176, 563, 2005, 568, 3226, 1271, 547, 8532, 2614, 31447, 3679, 630, 5228, 9360, 264, 543, 31833, 630, 5228, 3536, 264, 1107, 513, 645, 6171, 602, 666, 948, 2061, 4332, 12889, 538, 519, 4816, 269, 16639, 602, 616, 1164, 538, 31833, 1331, 21364, 16719, 267, 20521, 5613, 267, 543, 25167, 9274, 563, 7628, 6379, 267, 6484, 568, 711, 1152, 1898, 585, 519, 1072, 540, 519, 3993, 855, 849, 519, 3384, 21565, 269, 2368, 1808, 5567, 602, 616, 3226, 1271, 1282, 6379, 1331, 669, 13238, 267, 31447, 3679, 267, 4401, 267, 7513, 267, 543, 15060, 268, 274, 9761, 7408, 563, 2691, 20418, 267, 649, 666, 948, 2327, 519, 3993, 779, 5144, 2488, 1898, 5567, 563, 26212, 527, 1944, 6484, 1282, 20418, 676, 2519, 593, 8770, 10053, 3536, 3638, 538, 2635, 9600, 267, 1164, 20249, 3536, 971, 607, 2898, 9274, 267, 5613, 543, 19787, 7132, 10709, 3940, 3536, 568, 849, 1360, 1271, 267, 607, 621, 5849, 519, 3993, 779, 5144, 2488, 1898, 5567, 547, 519, 4816, 563, 1103, 1840, 547, 1426, 267, 649, 849, 1616, 547, 1118, 2386, 649, 4235, 2614, 12862, 269, 2755, 6704, 7899, 540, 1216, 568, 1271, 585, 3025, 267, 621, 568, 2523, 1271, 1247, 20418, 563, 2026, 513, 2489, 3391, 267, 2832, 585, 827, 476, 1321, 11680, 540, 5714, 1169, 1554, 269, 1452, 12862, 666, 2097, 689, 1312, 16098, 543, 3536, 267, 971, 607, 27130, 269, 11109, 1767, 602, 267, 6432, 547, 707, 1560, 543, 4235, 547, 14183, 707, 19818, 563, 7628, 22797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1985, 3942, 1848, 3958, 267, 949, 13219, 723, 1614, 1454, 4130, 2241, 4064, 281, 835, 538, 519, 1647, 543, 1079, 593, 2901, 2427, 540, 741, 3068, 269, 19612, 607, 4064, 26105, 267, 789, 2631, 1769, 543, 4158, 267, 543, 7654, 1554, 543, 3781, 563, 292, 5586, 656, 1230, 577, 267, 13372, 454, 763, 17715, 598, 577, 2729, 538, 519, 13719, 267, 1134, 2000, 527, 9341, 7297, 540, 519, 7262, 21475, 6261, 6680, 269, 4173, 321, 643, 5387, 30114, 639, 14369, 723, 2919, 1804, 4064, 543, 5140, 5075, 269, 968, 763, 5075, 540, 519, 598, 577, 568, 13380, 547, 602, 540, 11832, 10987, 267, 799, 946, 741, 5075, 585, 1950, 8184, 2223, 6941, 1325, 2581, 7054, 7773, 540, 519, 7849, 3778, 7467, 269, 968, 2005, 779, 2731, 796, 29207, 15344, 3034, 19853, 4064, 616, 593, 26106, 802, 267, 799, 10607, 741, 2361, 540, 5075, 267, 543, 741, 1427, 21590, 2270, 3670, 1114, 1591, 2010, 267, 799, 568, 811, 982, 814, 1044, 1336, 538, 1022, 824, 8819, 1886, 617, 269, 7054, 7773, 5950, 7044, 540, 598, 2583, 2966, 547, 17932, 513, 6385, 16042, 23246, 543, 1336, 602, 519, 2831, 2746, 9244, 547, 1256, 519, 10545, 540, 6937, 269, 1358, 7669, 2476, 689, 11975, 267, 971, 607, 16015, 543, 28725, 267, 609, 1804, 28478, 5652, 5322, 267, 855, 713, 27499, 513, 2603, 540, 1648, 563, 2005, 2306, 2631, 602, 789, 4076, 2919, 519, 2702, 547, 1294, 5386, 1469, 267, 7054, 7773, 3081, 267, 865, 789, 666, 8308, 5544, 2042, 689, 513, 3845, 543, 711, 3653, 2200, 14775, 547, 7301, 32302, 563, 289, 663, 539, 13176, 8127, 267, 6792, 454, 9223, 281, 1215, 798, 596, 917, 952, 513, 13176, 8127, 666, 1294, 538, 2681, 286, 634, 2626, 267, 2687, 547, 7905, 26637, 19134, 689, 519, 2160, 540, 24368, 267, 5161, 540, 2866, 891, 12345, 547, 3442, 1063, 6486, 540, 1114, 4778, 538, 5385, 585, 513, 9299, 1233, 544, 1662, 607, 513, 8007, 269, 968, 19284, 16142, 267, 799, 3100, 4625, 2681, 9420, 267, 13176, 8127, 3100, 2111, 547, 1294, 2681, 2223, 646, 3081, 269, 968, 5445, 2461, 27524, 668, 1846, 267, 865, 789, 1294, 519, 1158, 1454, 899, 513, 2048, 10233, 15918, 785, 685, 2699, 25984, 1480, 3034, 763, 3623, 854, 851, 540, 519, 3750, 568, 519, 32640, 267, 609, 922, 959, 559, 984, 539, 1166, 777, 13148, 8720, 519, 15191, 15918, 871, 20194, 269, 901, 666, 1427, 847, 610, 4434, 547, 7369, 519, 2179, 540, 1769, 10024, 519, 3750, 267, 543, 519, 6939, 545, 3337, 568, 2219, 547, 5351, 538, 31491, 720, 269, 2060, 741, 890, 321, 1076, 24698, 267, 891, 5377, 17743, 619, 11100, 538, 23182, 609, 519, 5836, 6989, 267, 855, 741, 4064, 666, 581, 13031, 563, 763, 804, 537, 3429, 540, 519, 20194, 2306, 519, 13176, 8127, 9875, 547, 5544, 267, 1247, 519, 3352, 1938, 1417, 32640, 6411, 607, 513, 11604, 267, 4543, 519, 18422, 11100, 16900, 883, 922, 10450, 563, 8967, 4176, 11909, 1085, 718, 641, 267, 4516, 454, 763, 838, 4176, 11909, 1085, 718, 641, 814, 7366, 540, 6263, 4064, 16298, 519, 6316, 540, 922, 1079, 16115, 269, 3962, 3750, 3568, 513, 20194, 267, 513, 7828, 267, 711, 835, 855, 1079, 1427, 21590, 267, 543, 513, 6677, 1511, 20085, 11604, 1500, 540, 1368, 29516, 14848, 269, 634, 11460, 814, 1044, 3379, 547, 9804, 1949, 538, 4359, 24985, 267, 855, 519, 1439, 2164, 616, 1447, 982, 24974, 563, 9928, 718, 641, 5075, 568, 4057, 269, 634, 5985, 7286, 536, 2526, 557, 30114, 23677, 568, 8572, 547, 10646, 3615, 267, 855, 621, 666, 693, 2547, 2631, 519, 3017, 1063, 1769, 543, 4158, 269, 1924, 952, 513, 1804, 2392, 2218, 12354, 22455, 3138, 1682, 7404, 267, 621, 666, 1930, 543, 2673, 922, 16115, 899, 513, 6292, 540, 7301, 4522, 543, 635, 1227, 32603, 2476, 563, 5278, 1085, 718, 3591, 616, 849, 2111, 547, 2631, 519, 2450, 543, 3432, 540, 5536, 3001, 2250, 873, 538, 519, 1216, 269, 2480, 718, 3591, 616, 6882, 29650, 267, 3850, 873, 547, 6895, 519, 1216, 585, 8023, 3255, 543, 1287, 968, 13449, 2647, 892, 693, 519, 1318, 942, 563, 303, 656, 615, 669, 877, 548, 517, 267, 28801, 454, 4322, 616, 519, 1655, 536, 690, 16744, 4064, 538, 519, 3662, 10806, 256, 634, 4064, 540, 519, 10477, 20562, 615, 669, 877, 548, 517, 21078, 538, 18618, 598, 673, 2881, 28905, 593, 2901, 2427, 540, 519, 2212, 269, 634, 5580, 543, 2539, 22442, 1749, 616, 8678, 267, 6028, 1175, 513, 1507, 8930, 23346, 585, 1769, 547, 4283, 269, 12989, 519, 561, 1749, 267, 519, 4064, 666, 17967, 543, 1445, 10446, 267, 4758, 713, 16277, 850, 5176, 476, 11740, 4113, 5075, 543, 519, 2702, 547, 1413, 693, 1114, 3615, 593, 6587, 5011, 540, 922, 2212, 563, 2691, 513, 30861, 5521, 568, 19481, 267, 519, 16277, 850, 666, 1287, 6467, 689, 1395, 22811, 547, 10822, 22811, 5075, 267, 7432, 922, 2212, 865, 602, 1312, 4064, 666, 1445, 593, 519, 11116, 269, 898, 779, 513, 3350, 602, 10597, 3178, 8226, 267, 543, 538, 1447, 982, 513, 4627, 628, 540, 513, 2034, 267, 513, 20202, 11469, 2220, 17274, 539, 856, 267, 10544, 5523, 519, 10352, 543, 1266, 5285, 539, 621, 269, 22702, 547, 824, 20641, 267, 741, 5075, 568, 3226, 8325, 269, 23202, 615, 669, 877, 548, 976, 666, 5544, 1507, 7786, 909, 547, 476, 1015, 7397, 2476, 563, 9596, 811, 827, 3662, 12823, 281, 0, 10574, 6041, 585, 2776, 17376, 574, 776, 270, 5729, 476, 272, 454, 10574, 281, 7756, 2010, 540, 22970, 454, 1607, 2534, 729, 5189, 547, 803, 538, 519, 7216, 6689, 6128, 1770, 799, 8268, 1114, 2081, 547, 4001, 1762, 1453, 269, 634, 2534, 7512, 519, 946, 540, 6405, 2326, 547, 2099, 1239, 269, 594, 2219, 519, 2534, 1131, 581, 1390, 538, 519, 4928, 607, 621, 2488, 1762, 1453, 609, 513, 3308, 6041, 540, 1239, 543, 666, 581, 11843, 883, 1114, 1565, 2127, 563, 763, 1053, 3142, 538, 1114, 2010, 540, 22970, 543, 519, 1362, 960, 1927, 547, 4990, 856, 519, 1114, 2010, 269, 634, 2534, 666, 2253, 676, 30286, 513, 2243, 827, 519, 2956, 540, 22970, 543, 3141, 3106, 585, 1762, 1453, 269, 2026, 1134, 607, 519, 7145, 610, 3483, 519, 1114, 22970, 799, 1053, 3142, 883, 519, 4928, 269, 634, 1362, 666, 960, 1927, 547, 4137, 856, 1018, 779, 519, 1034, 2442, 1826, 540, 11058, 1031, 269, 24051, 616, 2731, 2241, 543, 4122, 1031, 1851, 1762, 1453, 543, 666, 948, 1053, 10646, 519, 1114, 2010, 563, 10501, 5382, 6402, 281, 901, 4928, 2534, 6402, 547, 4578, 666, 723, 3270, 543, 666, 581, 6719, 607, 5961, 543, 6698, 630, 16898, 14888, 298, 16573, 1040, 4841, 1131, 960, 1927, 547, 1711, 513, 3113, 540, 519, 1114, 6394, 22970, 269, 634, 2534, 1131, 5000, 1895, 5698, 543, 666, 1106, 513, 851, 540, 513, 24233, 4879, 538, 519, 4928, 563, 18204, 1674, 281, 9119, 1053, 666, 1451, 875, 547, 2099, 543, 4990, 856, 1239, 269, 7756, 2747, 1223, 581, 1031, 676, 14178, 513, 1895, 540, 1053, 676, 4305, 532, 873, 547, 6003, 519, 4949, 2478, 543, 1459, 519, 1239, 676, 6236, 875, 11708, 7363, 1413, 563, 10890, 268, 7336, 2610, 540, 19326, 602, 5000, 3106, 543, 8171, 540, 1053, 269, 901, 1131, 581, 8268, 676, 3168, 693, 519, 2956, 540, 1373, 3141, 2922, 950, 4730, 3544, 8028, 303, 4916, 24879, 454, 21918, 14591, 281, 634, 2534, 3340, 21934, 13783, 607, 840, 17376, 574, 776, 1053, 991, 547, 1205, 11461, 538, 875, 547, 2932, 519, 4305, 269, 4935, 267, 519, 2534, 1131, 991, 547, 2308, 594, 798, 267, 649, 798, 267, 596, 798, 4640, 4470, 593, 1053, 1620, 540, 519, 1888, 269, 634, 946, 540, 519, 11746, 593, 519, 24095, 1131, 991, 547, 12290, 538, 519, 2796, 540, 519, 4928, 269, 0, 763, 9063, 1871, 568, 513, 2268, 540, 519, 15755, 610, 2596, 1915, 540, 606, 25694, 3070, 1547, 1261, 568, 519, 6587, 1297, 540, 519, 30233, 630, 8421, 15162, 332, 264, 540, 7250, 12274, 910, 2534, 543, 2450, 540, 519, 1297, 540, 7516, 4586, 288, 32561, 25694, 3070, 609, 513, 9063, 1871, 540, 1447, 982, 476, 278, 568, 1572, 15755, 2073, 609, 606, 670, 1871, 540, 476, 278, 9243, 543, 609, 513, 9063, 1871, 540, 811, 982, 476, 278, 2596, 610, 22279, 4586, 763, 9063, 1871, 568, 3989, 607, 519, 6587, 1297, 540, 519, 8717, 30233, 32372, 30233, 3738, 540, 519, 7250, 9357, 2534, 563, 763, 10155, 1652, 267, 3448, 2534, 540, 519, 7250, 9357, 513, 670, 1341, 568, 519, 1587, 540, 519, 12387, 1275, 540, 519, 7250, 9357, 630, 332, 670, 1341, 538, 12387, 1315, 4846, 264, 543, 519, 2534, 11664, 540, 519, 7250, 9357, 630, 24556, 670, 3738, 5258, 676, 519, 1770, 540, 12387, 1275, 630, 332, 476, 271, 538, 12387, 1315, 4846, 1916, 2414, 14458, 519, 12596, 267, 519, 670, 1341, 630, 5139, 4088, 9357, 264, 568, 2356, 1031, 547, 5581, 9063, 269, 769, 4641, 267, 891, 7250, 12274, 630, 16451, 22571, 264, 1152, 2291, 538, 606, 2404, 1106, 269, 769, 519, 1101, 3942, 267, 519, 3404, 28016, 9357, 670, 476, 274, 744, 1341, 3029, 538, 519, 1216, 2073, 799, 538, 2490, 7213, 12885, 2417, 1216, 6675, 269, 634, 19872, 3404, 28016, 9357, 568, 5219, 547, 607, 519, 3289, 1258, 1756, 9357, 630, 295, 476, 280, 744, 476, 275, 1341, 30155, 4913, 267, 519, 3169, 4214, 540, 519, 9063, 1871, 568, 10355, 1031, 538, 2241, 9273, 269, 13298, 267, 585, 519, 19160, 540, 5187, 2305, 267, 835, 568, 1543, 609, 519, 19406, 602, 519, 3404, 28016, 2534, 585, 32561, 3435, 568, 1305, 3160, 547, 519, 2268, 540, 519, 3404, 28016, 9357, 5834, 630, 514, 12387, 1315, 546, 332, 23326, 610, 12387, 1315, 561, 2187, 2005, 1058, 849, 581, 7074, 602, 519, 1367, 9357, 2534, 540, 519, 7250, 9357, 1058, 2965, 581, 1634, 538, 1931, 547, 3313, 519, 9063, 1871, 4010, 607, 3989, 269, 1717, 267, 621, 568, 11786, 2436, 2582, 9357, 2238, 666, 581, 5462, 563, 288, 533, 15121, 1871, 729, 849, 3989, 12746, 3585, 547, 519, 9063, 1871, 269, 898, 568, 519, 6587, 1297, 540, 519, 1232, 19631, 30233, 540, 519, 2268, 540, 519, 28355, 9357, 2534, 630, 514, 12387, 1315, 546, 332, 23326, 610, 12387, 1315, 561, 1916, 13828, 2418, 616, 1644, 3842, 519, 1313, 641, 8527, 565, 1736, 11466, 10778, 31367, 5114, 3830, 10778, 13420, 10329, 3586, 540, 519, 5114, 10778, 763, 2534, 540, 1216, 607, 513, 19857, 585, 32561, 1949, 568, 3160, 547, 835, 267, 2523, 693, 16564, 815, 476, 1839, 11019, 595, 630, 20598, 2783, 1040, 1924, 519, 30233, 540, 519, 2534, 540, 1216, 568, 4642, 269, 634, 11466, 3586, 568, 918, 530, 815, 476, 1015, 6567, 1691, 896, 3339, 2175, 1547, 634, 2078, 1063, 9063, 543, 533, 15121, 540, 513, 32561, 3070, 693, 4055, 2837, 568, 4061, 513, 1434, 19406, 912, 763, 9063, 540, 824, 30177, 454, 288, 2268, 13380, 547, 519, 968, 335, 295, 1871, 892, 568, 849, 3989, 585, 824, 16822, 760, 549, 6776, 30177, 700, 295, 602, 666, 4483, 22571, 1547, 1452, 616, 849, 1759, 593, 519, 1313, 641, 8527, 565, 1736, 540, 519, 9757, 19857, 269, 634, 2489, 3210, 568, 912, 268, 476, 273, 700, 295, 700, 295, 476, 273, 1341, 1341, 700, 910, 31377, 5976, 519, 10370, 28016, 9357, 700, 295, 476, 273, 1341, 543, 519, 10370, 520, 9357, 700, 910, 4586, 763, 11466, 3586, 918, 568, 3622, 4130, 1934, 982, 585, 519, 9357, 1587, 540, 1216, 269, 634, 9063, 1871, 568, 1287, 3989, 607, 5205, 912, 5278, 1806, 540, 16822, 760, 549, 6776, 30177, 606, 5139, 9317, 1106, 545, 3679, 476, 273, 670, 4596, 15121, 670, 4596, 15121, 476, 273, 1341, 1341, 670, 4596, 302, 910, 606, 5139, 9317, 20342, 476, 273, 19760, 476, 274, 19760, 476, 273, 910, 1341, 19760, 476, 275, 1341, 606, 5139, 9317, 1035, 2045, 3679, 476, 273, 8863, 476, 274, 2910, 15121, 8863, 476, 274, 2910, 302, 910, 1341, 8863, 476, 274, 2910, 15121, 476, 273, 1341, 606, 5139, 9317, 19844, 476, 273, 595, 476, 273, 670, 476, 276, 27846, 595, 476, 273, 670, 476, 276, 27846, 476, 273, 1341, 1341, 595, 476, 273, 670, 476, 276, 744, 20620, 10468, 23018, 1871, 543, 8760, 454, 347, 1805, 6729, 3679, 630, 24105, 7181, 10534, 272, 269, 271, 268, 272, 269, 276, 2008, 347, 17315, 823, 540, 5576, 520, 1084, 3467, 331, 548, 1475, 273, 269, 278, 2008, 347, 7775, 1052, 543, 11945, 10433, 1475, 274, 269, 276, 2008, 347, 10907, 573, 4764, 630, 5228, 26130, 2011, 10534 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2564, 23390, 543, 1099, 5505, 3335, 7118, 606, 29555, 6193, 27637, 15149, 267, 12236, 538, 476, 272, 268, 273, 1296, 693, 513, 2146, 2852, 610, 3318, 1153, 267, 1287, 3489, 513, 13995, 269, 1879, 891, 23390, 543, 1099, 5505, 1294, 3750, 547, 3750, 609, 741, 2550, 267, 1732, 5075, 568, 538, 8289, 563, 289, 9531, 540, 8534, 10803, 267, 772, 2529, 269, 4972, 540, 8534, 267, 27706, 31326, 18361, 267, 744, 20953, 6193, 6481, 3353, 6509, 563, 13233, 4741, 585, 744, 265, 25892, 4886, 269, 476, 3066, 268, 13078, 278, 269, 876, 269, 744, 265, 25892, 2201, 18118, 563, 763, 4876, 3381, 568, 538, 519, 1857, 6389, 689, 519, 772, 269, 590, 269, 4972, 540, 8534, 267, 25477, 543, 9751, 10029, 269, 0, 22826, 26874, 10886, 281, 5565, 10201, 2510, 585, 11819, 4065, 1635, 23902, 15611, 345, 267, 667, 2117, 807, 700, 2355, 2917, 267, 12253, 918, 454, 5719, 321, 908, 2436, 610, 711, 3610, 1058, 4001, 2418, 9607, 519, 4636, 2243, 269, 4065, 2907, 568, 513, 2418, 19899, 4310, 13055, 269, 634, 3677, 2243, 568, 875, 547, 5721, 3610, 585, 2318, 1915, 5250, 269, 5565, 4116, 2069, 2994, 616, 4843, 538, 713, 2376, 269, 589, 968, 2381, 2711, 626, 892, 4640, 3340, 4116, 7855, 547, 1118, 8763, 519, 6456, 5837, 2069, 6437, 543, 547, 7866, 519, 538, 2169, 878, 762, 3095, 720, 1063, 1655, 2259, 6044, 543, 5837, 1915, 4093, 269, 634, 968, 10946, 2711, 626, 892, 1935, 3340, 1095, 16291, 3610, 547, 4487, 513, 1907, 6539, 540, 24099, 2994, 602, 3077, 5837, 1915, 2047, 607, 513, 1225, 14152, 3804, 269, 1677, 713, 1439, 267, 519, 6715, 13577, 19078, 4065, 2203, 14592, 2947, 3268, 585, 5837, 1915, 1646, 281, 11215, 2916, 267, 5683, 1983, 267, 29095, 1222, 6044, 267, 1582, 30625, 267, 543, 12561, 513, 11095, 1949, 1935, 269, 9752, 26874, 10886, 281, 27870, 513, 10417, 783, 17563, 585, 11819, 4065, 26840, 476, 272, 281, 7454, 6657, 19019, 568, 2672, 2310, 585, 26874, 10886, 19725, 13229, 3450, 585, 5837, 1915, 20383, 609, 1655, 2259, 6044, 585, 4081, 9740, 269, 634, 1702, 3490, 602, 7028, 1655, 2259, 6044, 568, 28422, 1069, 29532, 609, 1018, 568, 1634, 547, 3310, 519, 5837, 5250, 540, 1053, 269, 10435, 8763, 713, 3095, 720, 1058, 581, 513, 2312, 3804, 585, 4116, 2069, 269, 3465, 16291, 3610, 1058, 2015, 711, 1152, 875, 14292, 2259, 7506, 4081, 1565, 855, 849, 875, 621, 5546, 2875, 1915, 1646, 269, 1306, 649, 786, 1294, 267, 18375, 543, 4116, 2853, 602, 3895, 9740, 16937, 609, 2853, 602, 1489, 2875, 5294, 3469, 1646, 630, 5353, 1962, 532, 267, 476, 1960, 276, 1040, 13229, 3450, 8992, 1312, 4081, 543, 5837, 17284, 630, 22069, 14137, 267, 23846, 267, 1299, 645, 3430, 626, 747, 267, 476, 1220, 273, 1040, 1284, 786, 1445, 593, 1079, 11890, 1141, 1655, 2259, 6044, 17188, 27993, 585, 5837, 1915, 2069, 281, 8739, 655, 10899, 5578, 1646, 543, 12391, 13460, 543, 3506, 269, 595, 2130, 3427, 7991, 454, 23322, 5250, 5956, 609, 513, 12391, 2078, 267, 1101, 538, 519, 1753, 543, 1287, 693, 1153, 269, 589, 12391, 2078, 3029, 519, 8115, 689, 2937, 547, 1126, 998, 799, 8994, 3310, 666, 2049, 630, 294, 516, 839, 3966, 1299, 1744, 1678, 518, 267, 476, 1220, 275, 1040, 589, 1126, 945, 568, 25374, 585, 786, 2693, 1416, 585, 1866, 267, 543, 786, 4497, 607, 513, 12504, 538, 519, 5837, 1272, 540, 519, 2146, 269, 634, 2298, 540, 2038, 4116, 24713, 550, 3347, 666, 723, 513, 2178, 3310, 593, 4081, 543, 1514, 4093, 602, 6414, 998, 21632, 3446, 630, 295, 600, 516, 1299, 623, 1014, 28580, 267, 476, 1220, 272, 1040, 769, 513, 1353, 540, 1647, 17469, 1053, 267, 654, 550, 29992, 630, 1220, 273, 264, 4951, 602, 3450, 6163, 602, 14883, 547, 7516, 540, 2500, 15970, 941, 513, 1713, 27667, 540, 1053, 685, 4081, 3853, 267, 1719, 538, 1153, 267, 543, 17117, 1565, 10066, 630, 16838, 1310, 9013, 585, 15295, 2188, 971, 607, 4008, 267, 5198, 267, 543, 1053, 685, 1852, 4978, 1040, 769, 1880, 267, 3610, 945, 1185, 1164, 6788, 22157, 547, 723, 1053, 945, 12236, 1732, 9344, 855, 945, 849, 22002, 5294, 3469, 3853, 267, 3576, 5539, 267, 543, 4951, 513, 7029, 547, 17117, 1565, 269, 17957, 267, 3610, 945, 941, 10792, 569, 2565, 543, 941, 9228, 547, 581, 15490, 1185, 1053, 945, 1705, 711, 957, 19100, 609, 2463, 547, 4928, 3652, 543, 4081, 3853, 269, 20480, 454, 11693, 519, 9395, 4276, 1063, 1655, 2259, 6044, 585, 4081, 6791, 543, 585, 5837, 1646, 267, 3610, 616, 7938, 9231, 569, 7722, 538, 1915, 2069, 950, 789, 2497, 4245, 543, 10891, 13460, 538, 2081, 602, 5688, 958, 1489, 2875, 1565, 269, 634, 29943, 585, 4116, 2069, 568, 3551, 281, 9772, 513, 1655, 2259, 1935, 547, 6044, 585, 1915, 2069, 269, 3465, 16291, 14436, 2259, 1223, 2232, 519, 24099, 2994, 602, 616, 17047, 609, 2875, 4081, 9740, 267, 1818, 7805, 741, 6286, 585, 5837, 1915, 2069, 269, 5047, 267, 4116, 7855, 666, 948, 1095, 16291, 2483, 27066, 281, 23902, 15611, 345, 267, 667, 1421, 700, 2355, 2917, 667, 269, 630, 1220, 279, 264, 9752, 5837, 1915, 281, 1079, 8925, 585, 4116, 2069, 563, 4517, 3205, 267, 700, 269, 631, 269, 630, 2735, 280, 1040, 22996, 543, 1565, 269, 769, 631, 269, 595, 269, 32083, 630, 10955, 13776, 11310, 3490, 585, 519, 4098, 4116, 630, 653, 269, 476, 5952, 268, 4200, 1040, 10228, 281, 623, 1120, 17868, 4964, 563, 4517, 3205, 267, 595, 1421, 23902, 15611, 345, 267, 667, 1421, 645, 1442, 267, 570, 1421, 7736, 545, 2714, 267, 700, 1421, 1299, 700, 625, 267, 808, 269, 630, 1220, 275, 1040, 16506, 2146, 9739, 543, 1915, 2069, 281, 15937, 1867, 543, 6268, 269, 14986, 6807, 281, 16506, 4972, 540, 5753, 267, 19198, 543, 4804, 563, 288, 2077, 13444, 630, 2735, 279, 1040, 12832, 558, 5995, 534, 7881, 630, 310, 269, 667, 269, 17664, 267, 3690, 12175, 5507, 281, 10228, 563, 289, 3430, 626, 747, 267, 966, 1421, 1299, 24125, 267, 589, 269, 630, 1960, 278, 1040, 634, 2078, 1063, 1053, 685, 2631, 540, 741, 1153, 607, 513, 2146, 543, 741, 9525, 538, 1966, 2623, 269, 1977, 4750, 540, 5398, 2657, 267, 476, 9262, 267, 476, 1960, 278, 268, 476, 1220, 272, 563, 289, 21672, 267, 623, 269, 700, 1421, 2480, 2297, 267, 623, 269, 595, 1421, 2274, 742, 1068, 267, 715, 1421, 1299, 681, 4141, 25632, 651, 4820, 664, 267, 661, 269, 595, 269, 630, 1960, 280, 1040, 589, 17866, 5748, 281, 634, 1533, 540, 11095, 7221, 1851, 1977, 6107, 269, 3687, 928, 24550, 267, 30400, 281, 9612, 4659, 563, 289, 4920, 5112, 267, 808, 269, 667, 1421, 9466, 267, 589, 269, 700, 1421, 1299, 595, 12177, 267, 681, 269, 681, 269, 630, 32295, 12175, 630, 1960, 280, 1040, 1215, 1004, 1451, 281, 11020, 267, 2247, 267, 1995, 267, 543, 1153, 269, 6115, 267, 9823, 281, 2817, 9142, 4964, 563, 289, 1258, 325, 523, 321, 1066, 1676, 267, 772, 269, 630, 3192, 280, 1040, 634, 14498, 540, 1480, 1646, 269, 11062, 267, 10790, 281, 12370, 2160, 4964, 563, 289, 787, 330, 267, 589, 269, 590, 269, 630, 2735, 279, 1040, 4053, 902, 593, 519, 5837, 1272, 540, 3506, 269, 1977, 4750, 540, 4065, 267, 476, 9834, 263, 273, 1070, 476, 16348, 268, 23310, 563, 289, 787, 330, 267, 589, 269, 590, 1421, 1299, 3220, 4593, 3326, 267, 631, 269, 630, 2735, 279, 1040, 634, 1153, 607, 2146, 281, 1744, 12686, 4229, 543, 4539, 585, 1053, 543, 3610, 269, 23885, 281, 2160, 540, 16855, 267, 2817, 4741, 585, 13229, 18520, 12140, 563, 289, 787, 330, 267, 589, 1421, 1299, 5576, 928, 3187, 267, 645, 269, 630, 1220, 273, 1040, 11565, 538, 3506, 281, 589, 4295, 4199, 585, 6454, 269, 1715, 3840, 281, 21651, 590, 720, 563, 290, 2086, 10428, 267, 661, 269, 630, 1220, 274, 1040, 634, 5683, 4116, 269, 631, 4660, 523, 3650, 267, 7137, 802, 10921, 267, 4789, 281, 7046, 2160, 4964, 563, 22479, 337, 4673, 267, 717, 269, 966, 1421, 4446, 3316, 22088, 267, 595, 1421, 12815, 648, 25651, 267, 595, 1421, 17020, 3120, 267, 589, 1421, 1299, 2098, 12494, 16037, 267, 623, 269, 717, 269, 630, 1220, 271, 1040, 18370, 3469, 13210, 540, 1453, 779, 4081, 9740, 269, 16723, 3163, 267, 476, 1556, 267, 476, 23714, 268, 27420, 563, 290, 3008, 5085, 22627, 269, 630, 20606, 267, 476, 1220, 276, 1040, 2160, 540, 13325, 268, 9628, 281, 20985, 585, 14288, 267, 4317, 543, 16508, 4804, 563, 5719, 857, 267, 661, 1421, 1299, 24138, 267, 681, 269, 630, 2735, 276, 1040, 2271, 337, 13917, 8404, 543, 1582, 268, 8990, 538, 1480, 2623, 269, 1715, 3840, 281, 14288, 4964, 563, 291, 14766, 752, 267, 808, 269, 589, 1421, 1299, 28243, 267, 589, 269, 631, 269, 630, 1960, 278, 1040, 12729, 6604, 2790, 1072, 3292, 585, 1453, 543, 10708, 281, 589, 13849, 12845, 24608, 2689, 269, 1977, 4750, 540, 7991, 10017, 267, 476, 1839, 267, 476, 12893, 268, 13923, 563, 292, 2993, 553, 267, 631, 269, 808, 1421, 2098, 1231, 267, 808, 269, 661, 1421, 717, 2350, 5414, 330, 267, 623, 269, 589, 1421, 1299, 1284, 1170, 6199, 267, 681, 269, 623, 269, 630, 1220, 274, 1040, 23840, 267, 6940, 267, 543, 18440, 909, 540, 1514, 268, 3929, 543, 4081, 10124, 538, 1857, 3506, 269, 3427, 10017, 5623, 267, 476, 3953, 267, 476, 24062, 268, 29204, 563, 293, 529, 651, 267, 590, 269, 630, 1220, 275, 1040, 4317, 7919, 269, 1715, 3840, 281, 25067, 563, 294, 629, 541, 3626, 267, 808, 269, 630, 1960, 280, 1040, 14780, 2358, 1453, 538, 513, 13998, 6757, 1604, 269, 5842, 12770, 281, 21280, 8124, 5174, 817, 563, 294, 1961, 2006, 267, 667, 269, 630, 1220, 275, 1040, 5983, 5320, 269, 769, 808, 269, 661, 269, 2098, 1231, 267, 681, 269, 623, 269, 1284, 1170, 6199, 267, 631, 269, 595, 269, 15651, 267, 1299, 670, 269, 808, 269, 9546, 6199, 630, 32295, 13776, 8490, 4081, 1967, 593, 1514, 543, 3929, 1565, 630, 653, 269, 642, 4512, 8686, 13839, 1040, 1715, 3840, 281, 11334, 5441, 4964, 563, 14187, 523, 578, 267, 595, 269, 630, 1960, 274, 1040, 634, 5626, 2631, 540, 1153, 15376, 1851, 10708, 281, 17361, 1646, 543, 3872, 31426, 269, 10017, 538, 519, 12140, 267, 476, 1789, 267, 476, 8064, 268, 3445, 563, 14187, 19921, 267, 808, 269, 630, 1960, 273, 1040, 634, 5837, 7516, 540, 18375, 543, 4116, 2069, 269, 4750, 540, 26874, 4065, 267, 476, 2641, 263, 273, 1070, 476, 9262, 268, 7176, 563, 294, 2714, 15728, 5459, 267, 717, 1421, 1299, 717, 2714, 15728, 5459, 267, 667, 269, 630, 2735, 276, 1040, 7861, 574, 1436, 538, 3506, 269, 1715, 3840, 281, 1773, 523, 636, 563, 16675, 6199, 267, 631, 269, 570, 1421, 1299, 918, 639, 3832, 267, 595, 269, 589, 269, 630, 1960, 279, 1040, 26472, 4244, 3206, 2994, 281, 18671, 788, 11781, 585, 5208, 6604, 269, 3883, 476, 1015, 269, 4659, 585, 519, 19884, 7070, 267, 2160, 540, 12548, 563, 16675, 6199, 267, 631, 269, 570, 1421, 918, 639, 3832, 267, 595, 269, 589, 1421, 13648, 267, 661, 269, 570, 1421, 1299, 2372, 10397, 267, 808, 269, 623, 269, 630, 1960, 276, 264, 26472, 3929, 16169, 538, 1153, 27070, 1453, 281, 634, 2360, 540, 519, 623, 2969, 9391, 6437, 269, 4886, 543, 5369, 31752, 267, 476, 278, 267, 476, 14056, 268, 15793, 563, 294, 516, 839, 3966, 267, 590, 269, 700, 267, 1299, 1744, 1678, 518, 267, 590, 269, 717, 269, 630, 1220, 275, 1040, 634, 1101, 2856, 281, 1215, 6698, 267, 1893, 543, 4987, 7960, 689, 938, 929, 1493, 11937, 547, 2413, 3425, 269, 11062, 267, 10790, 281, 20707, 7167, 334, 4964, 563, 294, 18636, 2006, 267, 589, 269, 630, 2735, 278, 1040, 14891, 2069, 269, 23134, 267, 27359, 281, 23134, 2160, 4964, 563, 295, 629, 9007, 267, 631, 269, 630, 1960, 276, 1040, 10060, 3610, 540, 1453, 538, 6710, 269, 4639, 700, 2378, 599, 8291, 267, 5442, 281, 918, 28385, 18647, 13100, 563, 295, 600, 516, 267, 645, 269, 918, 1421, 1299, 623, 5050, 320, 267, 681, 269, 595, 269, 630, 1220, 272, 1040, 7216, 4116, 30512, 3347, 543, 519, 18330, 540, 1453, 779, 1153, 4093, 998, 21632, 3446, 269, 4132, 4886, 267, 476, 7761, 267, 476, 27698, 268, 277, 4343, 563, 295, 753, 523, 267, 667, 269, 570, 269, 630, 1960, 274, 1040, 3245, 1909, 547, 1268, 281, 634, 5837, 30305, 1145, 540, 4928, 3450, 269, 1977, 12409, 3194, 4750, 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 ]
[ 273, 17320, 543, 519, 31736, 2450, 7283, 5176, 24240, 269, 901, 9727, 602, 3171, 303, 322, 263, 4596, 15121, 264, 275, 1185, 5916, 609, 23621, 302, 273, 543, 13026, 513, 1978, 6824, 540, 519, 2627, 1858, 269, 769, 1840, 267, 519, 1804, 645, 4953, 2627, 1858, 1223, 7520, 811, 3608, 3346, 540, 23621, 302, 273, 609, 519, 5214, 20004, 267, 5355, 922, 2584, 665, 520, 24608, 2534, 563, 763, 2473, 31686, 3270, 540, 519, 1585, 5439, 616, 3254, 538, 7612, 476, 272, 269, 3171, 303, 322, 263, 4596, 15121, 264, 275, 267, 4951, 513, 3376, 4617, 8445, 693, 9625, 476, 736, 4113, 543, 513, 8325, 2178, 8445, 693, 9625, 476, 2767, 4113, 1547, 634, 2473, 31686, 4806, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 568, 9247, 9838, 547, 602, 540, 23621, 302, 273, 269, 4475, 267, 519, 15205, 540, 519, 20004, 1705, 711, 2408, 547, 1689, 519, 26543, 2497, 610, 2450, 540, 23621, 302, 273, 269, 1284, 8263, 602, 519, 20004, 6675, 1705, 711, 4283, 519, 12627, 24775, 543, 602, 519, 20004, 6675, 543, 23621, 302, 273, 2170, 998, 8709, 3541, 20613, 1023, 4229, 610, 7250, 7554, 563, 763, 11158, 23724, 1043, 27556, 2992, 766, 26034, 540, 519, 6986, 23621, 302, 273, 20543, 267, 3171, 303, 322, 263, 4596, 15121, 264, 275, 267, 543, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 616, 3254, 538, 7612, 476, 273, 269, 1306, 4767, 538, 7612, 476, 273, 630, 338, 1051, 5300, 513, 1070, 519, 8552, 540, 519, 23621, 302, 273, 20543, 17820, 10338, 1152, 538, 519, 11158, 3148, 543, 10338, 729, 15534, 538, 519, 7298, 20966, 269, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 17820, 10338, 13164, 693, 476, 20981, 268, 16020, 16354, 267, 799, 1223, 581, 11911, 547, 519, 1627, 1532, 663, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 269, 12559, 26975, 13164, 693, 476, 20981, 268, 16020, 16354, 941, 849, 4767, 538, 519, 8552, 540, 6986, 3171, 303, 322, 263, 4596, 15121, 264, 275, 630, 338, 1051, 5300, 536, 267, 7612, 476, 273, 1040, 9747, 267, 519, 22740, 1436, 540, 23621, 302, 273, 609, 3171, 303, 322, 263, 4596, 15121, 264, 275, 1223, 8831, 519, 10110, 766, 8552, 540, 23621, 302, 273, 883, 519, 7298, 3148, 563, 763, 2584, 665, 520, 4519, 4398, 568, 5462, 676, 519, 3666, 1063, 519, 5279, 9668, 543, 21921, 1588, 3157, 1312, 538, 519, 13557, 543, 593, 519, 2627, 269, 12813, 26034, 267, 799, 2047, 8451, 689, 519, 10237, 894, 21921, 1588, 3157, 540, 519, 9211, 543, 9475, 540, 1079, 1114, 1648, 2829, 267, 666, 581, 1031, 547, 6218, 519, 5279, 21921, 1588, 2557, 269, 4475, 267, 519, 12813, 26034, 941, 5833, 689, 23621, 302, 273, 267, 3171, 303, 322, 263, 4596, 15121, 264, 275, 267, 543, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 630, 8201, 476, 274, 1040, 634, 2362, 519, 12813, 12998, 8515, 267, 519, 2362, 568, 519, 21921, 1588, 2557, 540, 519, 2584, 4094, 23306, 9211, 543, 9475, 269, 634, 4222, 540, 519, 28264, 8515, 9775, 538, 519, 1931, 23621, 302, 273, 285, 8722, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 285, 8722, 303, 322, 263, 4596, 15121, 264, 275, 269, 901, 6920, 602, 519, 1648, 4483, 1063, 23621, 302, 273, 543, 3171, 303, 322, 263, 4596, 15121, 264, 275, 6971, 519, 28264, 8515, 267, 1247, 5355, 519, 2584, 665, 520, 24608, 4398, 563, 2026, 2938, 538, 7612, 476, 275, 267, 519, 2407, 2473, 4916, 18767, 630, 8201, 476, 275, 288, 264, 6542, 519, 4527, 540, 23621, 267, 744, 267, 543, 595, 538, 6986, 23621, 302, 273, 267, 1247, 23621, 267, 3171, 267, 744, 267, 715, 267, 543, 595, 941, 1459, 538, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 269, 634, 4527, 540, 595, 538, 23621, 302, 273, 666, 581, 607, 8282, 547, 4417, 25875, 3327, 2861, 17694, 269, 634, 1164, 637, 1828, 2473, 4916, 12632, 7222, 547, 519, 23621, 476, 273, 335, 3148, 693, 1472, 476, 29121, 552, 309, 267, 519, 3171, 476, 273, 335, 3148, 1472, 476, 24798, 552, 309, 267, 543, 744, 272, 338, 3148, 1472, 476, 30019, 552, 309, 941, 9916, 269, 1306, 3254, 538, 7612, 476, 276, 289, 267, 1079, 19589, 941, 1459, 538, 519, 23621, 476, 273, 335, 3148, 269, 634, 8445, 693, 476, 275, 5038, 269, 273, 552, 309, 14687, 547, 519, 23621, 476, 273, 335, 274, 270, 273, 269, 634, 3017, 538, 519, 23621, 476, 273, 335, 272, 270, 273, 543, 23621, 476, 273, 335, 274, 270, 273, 8445, 7158, 568, 476, 276, 269, 278, 552, 309, 267, 10834, 519, 4527, 540, 23621, 275, 266, 538, 519, 607, 1790, 10517, 1563, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 1496, 3066, 267, 1789, 4940, 4329, 267, 519, 23621, 476, 273, 335, 19589, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 4951, 1100, 6521, 538, 6476, 547, 519, 8445, 3254, 676, 6986, 23621, 302, 273, 267, 30260, 602, 519, 2497, 540, 23621, 302, 273, 7283, 16856, 1310, 519, 10282, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 270, 23621, 302, 273, 269, 769, 519, 3171, 476, 273, 335, 3148, 630, 8993, 999, 476, 275, 290, 543, 667, 1070, 519, 19589, 693, 476, 278, 1015, 269, 272, 543, 476, 278, 2537, 269, 276, 552, 309, 941, 11911, 547, 3171, 476, 273, 335, 274, 270, 273, 543, 3171, 476, 273, 335, 272, 270, 273, 267, 6606, 267, 10834, 519, 1341, 476, 274, 1130, 1890, 540, 3171, 538, 3171, 303, 322, 263, 4596, 15121, 264, 275, 269, 1306, 2938, 538, 7612, 476, 275, 292, 267, 519, 744, 476, 272, 338, 8445, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 8237, 883, 1079, 19589, 267, 609, 835, 10704, 693, 476, 276, 4029, 269, 273, 552, 309, 630, 14585, 22046, 532, 547, 519, 595, 14114, 295, 6125, 538, 519, 1286, 7901, 2643, 1895, 264, 543, 519, 2034, 8445, 693, 476, 276, 3953, 269, 272, 552, 309, 630, 14585, 22046, 532, 547, 519, 595, 284, 302, 6125, 1040, 2991, 519, 22740, 1436, 540, 23621, 302, 273, 609, 3171, 303, 322, 263, 4596, 15121, 264, 275, 267, 519, 744, 476, 272, 338, 11006, 1648, 729, 4389, 689, 476, 276, 4029, 269, 273, 552, 309, 547, 476, 276, 3066, 269, 280, 552, 309, 630, 8201, 476, 275, 293, 1070, 11744, 5907, 23993, 1063, 3171, 303, 322, 263, 4596, 15121, 264, 275, 543, 23621, 302, 273, 269, 901, 1198, 949, 581, 3361, 676, 519, 7250, 7554, 4646, 1063, 519, 910, 4596, 15121, 543, 910, 15121, 2516, 538, 3171, 303, 322, 263, 4596, 15121, 264, 275, 543, 593, 23621, 302, 273, 2627, 267, 6606, 269, 634, 1286, 7901, 2643, 1895, 8992, 519, 5907, 23993, 1063, 519, 6475, 1810, 908, 23621, 302, 273, 543, 6475, 16561, 3171, 303, 322, 263, 4596, 15121, 264, 275, 1547, 634, 2473, 4916, 6786, 540, 715, 476, 272, 338, 538, 3171, 303, 322, 263, 4596, 15121, 264, 275, 543, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 3254, 538, 22955, 476, 275, 294, 543, 670, 5815, 519, 4527, 540, 693, 2547, 1079, 3029, 540, 9436, 609, 1114, 3114, 3601, 267, 1775, 4318, 1421, 519, 9436, 538, 519, 476, 275, 1790, 10455, 14337, 8258, 543, 519, 476, 275, 268, 1794, 2329, 2193, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 267, 6606, 563, 8201, 476, 275, 281, 630, 288, 264, 9509, 11571, 2473, 4916, 12632, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 543, 23621, 302, 273, 269, 630, 289, 264, 23621, 476, 273, 335, 2473, 4916, 12632, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 543, 23621, 302, 273, 269, 3171, 476, 273, 335, 2473, 4916, 12632, 540, 630, 290, 264, 3171, 303, 322, 263, 4596, 15121, 264, 275, 543, 630, 291, 264, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 269, 744, 476, 272, 338, 2473, 4916, 12632, 540, 630, 292, 264, 3171, 303, 322, 263, 4596, 15121, 264, 275, 543, 630, 293, 264, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 269, 715, 476, 272, 338, 2473, 4916, 12632, 540, 630, 294, 264, 3171, 303, 322, 263, 4596, 15121, 264, 275, 543, 630, 295, 264, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 563, 21900, 665, 520, 24608, 2554, 1674, 2534, 454, 763, 2584, 665, 520, 24608, 12159, 540, 681, 289, 729, 6074, 607, 519, 2203, 5114, 547, 6218, 519, 2584, 665, 520, 24608, 2238, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 270, 23621, 302, 273, 269, 26192, 23621, 302, 273, 20543, 543, 3171, 303, 322, 263, 4596, 15121, 264, 275, 8869, 941, 1031, 607, 4704, 2584, 665, 520, 3315, 7370, 269, 634, 12159, 4398, 540, 519, 607, 2181, 335, 1563, 5439, 729, 3989, 538, 2474, 540, 519, 595, 14727, 271, 5223, 267, 1141, 595, 543, 595, 271, 2099, 519, 20276, 656, 543, 3355, 9830, 540, 681, 289, 267, 6606, 269, 1306, 2938, 538, 7612, 476, 276, 267, 896, 7298, 1769, 23735, 2747, 267, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 729, 4625, 1031, 538, 519, 2584, 617, 18341, 566, 4603, 1369, 476, 1911, 1295, 543, 513, 5021, 681, 289, 12159, 540, 476, 9834, 269, 275, 260, 729, 6913, 269, 769, 519, 2013, 540, 6986, 23621, 302, 273, 543, 3171, 303, 322, 263, 4596, 15121, 264, 275, 630, 10915, 2397, 27857, 1070, 519, 5021, 9714, 725, 941, 1152, 476, 2190, 269, 278, 260, 543, 476, 2918, 269, 279, 9077, 6606, 269, 9747, 267, 681, 289, 1223, 581, 2584, 617, 18341, 539, 7561, 950, 7298, 1769, 729, 1031, 538, 519, 4527, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 563, 8201, 476, 277, 2982, 519, 1198, 540, 9063, 593, 519, 19842, 12159, 540, 681, 289, 896, 7298, 1769, 1210, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 607, 519, 2584, 665, 520, 3315, 560, 269, 5345, 1211, 569, 267, 519, 12159, 5114, 666, 8399, 538, 513, 2647, 9063, 2039, 630, 273, 268, 1321, 1040, 17797, 532, 519, 9063, 540, 519, 3355, 3070, 5627, 681, 289, 630, 277, 269, 276, 8406, 13624, 264, 609, 29809, 16247, 545, 3679, 3366, 547, 681, 289, 7503, 3928, 540, 476, 4510, 269, 279, 9077, 476, 2568, 269, 273, 9077, 543, 476, 9834, 269, 275, 260, 693, 9063, 284, 273, 267, 476, 275, 267, 543, 476, 277, 267, 6606, 267, 1369, 476, 1911, 1295, 540, 23735, 2747, 269, 1879, 519, 12159, 5114, 729, 5645, 856, 538, 9770, 28355, 3070, 267, 519, 7503, 3928, 540, 681, 289, 538, 519, 1482, 23735, 2747, 942, 941, 476, 4037, 269, 273, 9077, 476, 4792, 269, 275, 9077, 543, 476, 3607, 269, 272, 260, 693, 9063, 284, 278, 267, 476, 280, 267, 543, 476, 1015, 267, 6606, 269, 4475, 267, 1164, 3928, 540, 681, 289, 2584, 617, 18341, 566, 609, 3171, 303, 322, 263, 4596, 15121, 264, 275, 270, 23621, 302, 273, 666, 581, 6913, 896, 5111, 9243, 9063, 2175, 563, 2414, 2417, 4983, 519, 29512, 2534, 540, 3171, 303, 322, 263, 4596, 15121, 264, 275, 20081, 328, 302, 273, 267, 519, 9714, 725, 540, 15406, 267, 715, 305, 267, 8121, 267, 543, 631, 294, 941, 849, 11567, 269, 1306, 3254, 538, 7612, 476, 278, 267, 519, 1585, 5214, 24470, 941, 2584, 617, 18341, 539, 676, 519, 18463, 1369, 476, 1911, 1295, 269, 1879, 519, 5114, 942, 729, 476, 1911, 1295, 267, 519, 681, 289, 267, 15406, 267, 715, 305, 267, 8121, 267, 543, 631, 294, 12159, 3928, 941, 476, 9834, 269, 280, 9077, 476, 9834, 269, 279, 9077, 476, 11025, 269, 272, 9077, 476, 5952, 269, 273, 9077, 543, 476, 10037, 269, 280, 9077, 6606, 563, 5804, 7305, 476, 272, 543, 7612, 476, 279, 267, 519, 7455, 17501, 6920, 602, 519, 2584, 617, 18341, 566, 6547, 1246, 1101, 19195, 737, 27282, 269, 4475, 267, 3171, 303, 322, 263, 4596, 15121, 264, 275, 1606, 31731, 1242, 23621, 302, 273, 10525, 1434, 2584, 665, 520, 24608, 12159, 2534, 593, 519, 1585, 5686, 540, 24470, 563, 8368, 476, 272, 281, 918, 27282, 6724, 540, 519, 12159, 540, 1585, 24470, 563, 7628, 2584, 665, 520, 4519, 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 ]
[ 267, 17120, 267, 543, 513, 2603, 513, 3152, 2179, 540, 971, 3407, 3688, 269, 898, 9388, 609, 519, 5650, 610, 8367, 540, 20832, 602, 568, 8246, 538, 513, 2603, 540, 519, 3688, 891, 2395, 269, 1452, 1019, 3941, 3132, 20832, 998, 519, 29835, 540, 5907, 1570, 547, 581, 1808, 7086, 1756, 19070, 728, 538, 519, 31942, 563, 763, 10896, 1769, 568, 891, 2395, 3478, 1360, 4583, 1851, 7218, 607, 621, 3947, 2312, 6544, 643, 1464, 538, 513, 2603, 14758, 24311, 269, 634, 26672, 573, 543, 4195, 1769, 540, 27178, 3947, 596, 519, 2640, 540, 5486, 13589, 782, 707, 1164, 6453, 8781, 28443, 8546, 8279, 609, 873, 269, 1452, 15620, 10123, 1810, 1406, 11166, 606, 4430, 540, 14246, 1317, 540, 799, 789, 1796, 740, 30794, 547, 581, 8246, 538, 22799, 610, 4411, 2175, 269, 31035, 689, 713, 267, 789, 616, 10123, 1634, 585, 1373, 513, 5544, 1652, 19401, 7428, 540, 1648, 267, 607, 789, 1810, 1406, 11166, 1022, 4990, 540, 10413, 995, 20832, 610, 6878, 269, 901, 14998, 741, 13345, 1472, 5905, 344, 543, 1271, 1570, 607, 1134, 269, 13139, 1436, 540, 10896, 3688, 1175, 607, 595, 14566, 338, 723, 519, 2702, 547, 14299, 1524, 513, 5458, 3787, 540, 707, 1379, 10997, 3976, 9494, 1271, 1875, 1606, 20980, 2959, 593, 513, 5001, 1377, 269, 0, 5575, 649, 666, 1376, 1055, 676, 726, 10212, 514, 978, 538, 519, 535, 263, 1704, 994, 1103, 519, 1599, 950, 596, 11690, 538, 513, 1871, 3152, 982, 610, 3160, 547, 476, 278, 596, 946, 519, 4542, 1535, 1341, 476, 1724, 2676, 810, 707, 1985, 1599, 568, 535, 6600, 263, 1789, 264, 13211, 9767, 666, 798, 519, 1482, 3364, 939, 553, 826, 476, 1789, 568, 3152, 982, 476, 278, 2676, 810, 707, 1007, 1599, 568, 535, 263, 6246, 13211, 10190, 596, 666, 798, 713, 835, 2063, 942, 939, 553, 826, 476, 3451, 568, 3152, 982, 476, 278, 2676, 663, 596, 616, 2451, 609, 476, 6321, 563, 325, 6600, 6600, 263, 1704, 30727, 815, 476, 6321, 454, 2171, 723, 519, 2243, 634, 3830, 476, 273, 343, 910, 476, 274, 14370, 343, 910, 476, 273, 264, 815, 476, 275, 268, 476, 274, 14370, 343, 910, 476, 273, 264, 814, 875, 1082, 5072, 286, 2676, 14140, 649, 666, 14458, 519, 3830, 1421, 454, 273, 343, 268, 274, 24474, 268, 273, 815, 476, 275, 343, 268, 1556, 24474, 268, 273, 454, 604, 649, 3444, 9062, 649, 1205, 513, 13392, 3160, 547, 513, 13392, 10756, 2171, 666, 1405, 723, 513, 4110, 2362, 982, 476, 273, 2483, 11004, 1150, 972, 616, 476, 273, 5072, 547, 519, 3830, 454, 335, 4732, 2953, 803, 952, 708, 4636, 269, 0, 288, 1007, 1353, 689, 6115, 2160, 3427, 540, 6925, 538, 853, 269, 8402, 3370, 593, 513, 840, 2745, 7746, 2488, 2963, 602, 5046, 268, 866, 2550, 685, 2295, 3441, 568, 3361, 676, 519, 3644, 32415, 543, 18187, 908, 3330, 2295, 4887, 2281, 267, 3056, 547, 1591, 2669, 543, 7679, 1359, 609, 2295, 4887, 19432, 269, 634, 3173, 1031, 6565, 2281, 547, 11653, 2295, 5160, 602, 3631, 519, 1480, 3968, 543, 1223, 948, 538, 4974, 519, 2068, 543, 3384, 2009, 11257, 563, 763, 1353, 4951, 602, 6315, 3912, 14231, 616, 519, 9072, 540, 16568, 15801, 13305, 268, 273, 3968, 543, 972, 568, 513, 3095, 3964, 1063, 519, 6315, 3912, 22889, 3968, 543, 519, 16568, 15801, 13305, 268, 273, 609, 948, 540, 519, 5422, 1229, 9839, 570, 22568, 2203, 269, 1323, 1313, 641, 1910, 543, 1439, 3912, 18201, 658, 23707, 15013, 689, 476, 275, 5396, 609, 16568, 15801, 13305, 268, 273, 6029, 513, 4791, 5868, 540, 26961, 4345, 941, 3144, 269, 5403, 332, 677, 655, 5843, 2675, 8084, 6514, 540, 26961, 1756, 7000, 2127, 540, 26961, 1756, 27394, 15727, 267, 28115, 894, 540, 6315, 3912, 14231, 32594, 609, 1395, 517, 13086, 1591, 22467, 3433, 563, 2750, 8727, 540, 18337, 16209, 689, 5046, 866, 26961, 4345, 1313, 641, 1910, 4951, 7646, 19473, 4592, 13406, 5328, 2242, 799, 941, 1875, 268, 984, 560, 10614, 269, 16568, 15801, 13305, 910, 273, 21782, 543, 715, 16197, 665, 2355, 573, 10717, 941, 9571, 538, 519, 26961, 658, 5160, 540, 519, 5396, 269, 5839, 5268, 720, 22467, 1674, 543, 570, 16052, 22467, 1674, 941, 849, 7074, 693, 519, 3135, 540, 26961, 658, 5945, 269, 1452, 7422, 2303, 602, 16568, 15801, 13305, 910, 273, 666, 3468, 519, 1480, 2295, 543, 3565, 547, 26961, 658, 5945, 267, 26961, 658, 6553, 267, 543, 1591, 2669, 269, 4329, 2090, 941, 5342, 547, 2638, 952, 16568, 15801, 13305, 268, 273, 3468, 338, 543, 18187, 919, 1369, 1480, 6315, 3912, 14231, 799, 11943, 602, 6315, 3912, 14231, 616, 9072, 540, 16568, 15801, 13305, 268, 273, 3968, 269, 31984, 476, 273, 568, 4776, 5166, 6053, 6829, 538, 6315, 3912, 14231, 543, 568, 1898, 585, 16568, 15801, 13305, 268, 476, 273, 7127, 883, 519, 1591, 563, 1607, 6941, 519, 4082, 540, 31984, 273, 538, 519, 1480, 2295, 4679, 519, 1981, 3815, 540, 16568, 15801, 13305, 268, 273, 538, 840, 25365, 9025, 2068, 269, 634, 1353, 593, 519, 22041, 2295, 5160, 849, 7000, 513, 5786, 538, 4579, 850, 3196, 267, 32646, 1260, 699, 2669, 267, 543, 26961, 4345, 609, 27104, 720, 11852, 563, 8269, 13017, 281, 4179, 2517, 4178, 269, 18080, 2173, 20510, 14492, 30406, 270, 1708, 9818, 6734, 270, 26542, 268, 866, 16162, 4533, 338, 13463, 691, 2173, 639, 2193, 9762, 3555, 2173, 599, 6122, 611, 3562, 13463, 691, 1922, 19691, 269, 5684, 343, 0, 295, 300, 5308, 8644, 5800, 532, 6651, 454, 295, 1301, 3415, 5308, 568, 606, 5665, 1949, 2919, 676, 670, 7699, 933, 328, 269, 898, 729, 4330, 607, 513, 2890, 330, 14533, 2861, 267, 7856, 267, 11251, 5665, 1062, 2966, 547, 960, 593, 3457, 689, 14164, 543, 5100, 1753, 2472, 547, 5957, 1963, 267, 538, 21307, 1102, 582, 664, 618, 1949, 267, 543, 5985, 3457, 910, 1519, 16389, 563, 1607, 3561, 786, 1683, 513, 1900, 8386, 9912, 3391, 547, 1020, 8021, 585, 24442, 13013, 267, 538, 1931, 547, 1020, 519, 8021, 267, 621, 568, 1434, 547, 723, 513, 4023, 1620, 540, 15692, 267, 24442, 5308, 610, 25515, 15339, 563, 22873, 658, 713, 3561, 3947, 721, 513, 5618, 4367, 827, 15692, 543, 24442, 15339, 543, 930, 2620, 1620, 540, 519, 1644, 16286, 269, 4746, 267, 621, 568, 1434, 547, 1174, 519, 1883, 3017, 543, 1344, 799, 568, 2877, 585, 3384, 8021, 585, 24442, 5308, 269, 0, 306, 9430, 593, 519, 595, 22936, 22575, 454, 763, 27991, 1901, 820, 543, 26609, 22575, 6035, 2653, 8574, 1063, 15740, 543, 22768, 585, 1312, 26708, 543, 15915, 269, 1635, 4227, 519, 5195, 14612, 1063, 519, 1079, 4872, 267, 519, 12324, 4824, 1569, 547, 12425, 781, 12246, 4302, 327, 13860, 9503, 543, 922, 5318, 14425, 540, 5755, 543, 29421, 585, 519, 6990, 2059, 519, 26609, 5211, 269, 898, 5795, 22768, 513, 1454, 10156, 8905, 547, 519, 9533, 543, 267, 538, 519, 824, 4287, 267, 4847, 8737, 5370, 1765, 5264, 9302, 29939, 902, 267, 20955, 267, 1426, 560, 32332, 630, 10175, 3165, 689, 519, 26609, 5211, 1070, 7784, 335, 32535, 689, 519, 13660, 303, 2632, 8869, 14200, 23121, 1118, 741, 1259, 7178, 563, 1103, 519, 476, 6942, 271, 338, 267, 519, 18238, 26856, 7412, 267, 799, 1185, 5892, 25855, 1152, 26708, 267, 3459, 18213, 3028, 1063, 15740, 543, 22768, 269, 634, 7083, 22768, 543, 519, 5261, 24282, 267, 941, 3710, 16887, 585, 12324, 8574, 563, 29381, 267, 519, 536, 1618, 267, 23509, 744, 262, 289, 31151, 267, 1327, 6362, 998, 693, 26609, 4975, 269, 24729, 3149, 585, 26708, 941, 1759, 593, 519, 20161, 1373, 25855, 543, 922, 2597, 610, 1871, 269, 769, 476, 6977, 272, 267, 835, 8536, 6550, 540, 23342, 1942, 476, 2412, 10634, 547, 6928, 998, 519, 12324, 1247, 835, 8536, 6550, 540, 986, 7714, 1942, 476, 736, 10634, 269, 589, 10260, 540, 18073, 610, 454, 17556, 14781, 1846, 1101, 7902, 593, 519, 26609, 5211, 16172, 1310, 519, 2782, 540, 476, 8687, 273, 543, 676, 519, 476, 9264, 271, 338, 5781, 726, 1221, 519, 8905, 1063, 15740, 543, 759, 2176, 20991, 5045, 2059, 519, 5032, 269, 634, 7338, 595, 569, 1372, 267, 3710, 676, 623, 2224, 344, 1299, 13643, 538, 12070, 2719, 2023, 538, 476, 6942, 279, 267, 5645, 15915, 593, 32751, 687, 689, 15740, 547, 18353, 782, 2059, 519, 5757, 281, 26609, 5211, 267, 27596, 16047, 267, 6755, 985, 717, 17311, 267, 30561, 267, 543, 2961, 7958, 8672, 269, 13488, 619, 8977, 539, 538, 519, 6640, 267, 14254, 539, 593, 519, 10935, 267, 19557, 547, 519, 32316, 543, 546, 2331, 593, 519, 16064, 267, 4682, 11849, 648, 585, 11005, 543, 9913, 267, 543, 30774, 1753, 693, 1554, 781, 1439, 563, 292, 5550, 539, 676, 4975, 540, 26609, 4975, 267, 26609, 282, 26609, 8092, 1299, 4826, 11094, 11565, 8750, 563, 12749, 923, 269, 901, 3140, 15262, 568, 7396, 538, 891, 1888, 8638, 281, 12752, 1299, 25642, 3040, 20088, 1299, 1234, 920, 1049, 19791, 3040, 4826, 1811, 1299, 26751, 17632, 269, 589, 1713, 3140, 1032, 585, 713, 7127, 568, 476, 6977, 272, 563, 19613, 269, 476, 4375, 4113, 476, 4097, 269, 278, 6078, 12664, 715, 267, 476, 4037, 4113, 476, 3374, 269, 10711, 12664, 654, 269, 4460, 518, 568, 538, 26609, 4975, 267, 26609, 267, 538, 1715, 16836, 6019, 269, 4460, 518, 568, 693, 519, 10167, 540, 22735, 9335, 543, 23320, 9335, 267, 593, 519, 1318, 950, 10707, 5087, 593, 22735, 9335, 269, 25291, 585, 4786, 269, 4460, 518, 568, 693, 610, 2282, 713, 2022, 531, 2232, 281, 476, 4649, 22735, 853, 267, 26609, 4975, 16692, 476, 3192, 6187, 267, 2136, 2276, 540, 3013, 269, 25291, 585, 8846, 563, 8448, 7404, 12508, 269, 2311, 2547, 476, 279, 824, 12508, 454, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 4873, 476, 273, 267, 476, 1708, 272, 269, 898, 729, 8385, 11643, 593, 4873, 476, 273, 267, 476, 1708, 272, 267, 676, 8061, 787, 2142, 14982, 13643, 540, 6115, 267, 10588, 540, 12052, 269, 901, 2985, 814, 1044, 9763, 476, 3066, 2053, 2094, 1287, 269, 16071, 281, 476, 272, 267, 476, 273, 269, 11643, 593, 4873, 476, 273, 267, 476, 1708, 272, 267, 676, 8061, 787, 2142, 14982, 13643, 540, 6115, 267, 10588, 540, 12052, 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 ]
[ 589, 19053, 1592, 2630, 723, 782, 707, 2250, 3756, 267, 14886, 543, 3356, 689, 3105, 8747, 538, 269, 20946, 540, 4161, 585, 519, 1114, 1913, 1983, 538, 513, 2186, 1259, 621, 786, 1985, 581, 593, 256, 1280, 1169, 7000, 2262, 267, 789, 666, 8743, 621, 1055, 593, 519, 1292, 11015, 610, 1862, 3883, 339, 6412, 568, 519, 5177, 609, 2835, 543, 1489, 1250, 960, 676, 4742, 513, 4793, 1258, 256, 11559, 269, 2201, 10732, 3427, 18630, 267, 938, 1863, 552, 20486, 4015, 267, 2919, 585, 1453, 9907, 476, 274, 1700, 1556, 1296, 2025, 593, 713, 28011, 594, 1031, 2295, 5546, 538, 1114, 7306, 267, 18707, 540, 3109, 543, 1114, 17114, 4005, 610, 1888, 519, 269, 24606, 936, 476, 275, 3515, 909, 547, 476, 736, 3197, 829, 1899, 1453, 9907, 1296, 256, 6478, 3406, 11090, 1299, 631, 836, 553, 7931, 2033, 27956, 345, 2471, 577, 747, 1084, 12603, 717, 525, 577, 747, 974, 13153, 654, 2117, 2761, 2093, 1299, 2238, 630, 7711, 3738, 256, 18366, 267, 543, 1689, 2534, 476, 273, 2262, 6968, 4126, 630, 4712, 547, 1820, 543, 22495, 622, 3738, 8204, 1472, 1862, 2696, 2141, 8952, 1010, 14767, 16064, 540, 6486, 609, 14914, 5798, 6456, 547, 840, 21752, 256, 15907, 519, 4928, 11015, 267, 1913, 19707, 616, 513, 1390, 6360, 607, 10385, 540, 11555, 289, 4785, 1862, 12232, 942, 18001, 476, 273, 570, 4459, 344, 1913, 5196, 1614, 1114, 15437, 540, 3556, 3501, 2262, 616, 269, 23239, 754, 1404, 1677, 903, 681, 721, 23625, 15391, 4161, 609, 24138, 1677, 903, 18800, 2238, 14914, 1862, 22276, 476, 274, 17020, 22227, 27159, 1565, 2238, 267, 14914, 9251, 4005, 610, 1246, 269, 9452, 568, 606, 1271, 2679, 3625, 540, 19978, 3450, 585, 1453, 540, 519, 256, 3502, 1934, 676, 8009, 855, 649, 616, 711, 1934, 676, 8009, 855, 616, 269, 23067, 1419, 2534, 10794, 13268, 281, 14914, 17378, 15391, 3556, 10794, 543, 536, 22857, 10794, 835, 256, 14674, 606, 2962, 267, 602, 11313, 521, 2542, 17493, 267, 6131, 547, 3803, 269, 25232, 27136, 5674, 539, 2696, 972, 941, 1812, 4539, 5177, 11313, 521, 3003, 1920, 585, 1296, 547, 23511, 1809, 27971, 1657, 267, 519, 1158, 23384, 513, 1390, 6360, 607, 10385, 1114, 1913, 22495, 622, 23511, 634, 2985, 2338, 2630, 547, 948, 1453, 3314, 602, 2696, 2141, 8952, 1010, 14767, 707, 3903, 1413, 1862, 1677, 903, 681, 721, 23625, 15391, 4161, 609, 24138, 1677, 903, 18800, 786, 2972, 9948, 476, 273, 1296, 907, 2986, 476, 1911, 266, 11555, 289, 4785, 13410, 5542, 540, 476, 1911, 266, 11555, 289, 4785, 13410, 8952, 1010, 14767, 4161, 1862, 1530, 924, 561, 7564, 338, 560, 10523, 795, 539, 5255, 562, 32218, 1990, 340, 782, 1453, 4166, 4584, 909, 2534, 1247, 29429, 2987, 786, 596, 256, 1412, 3299, 4553, 676, 476, 14138, 278, 6924, 1004, 593, 26964, 8748, 1383, 540, 5132, 1256, 950, 596, 711, 256, 13012, 2025, 2139, 942, 630, 7824, 3738, 2238, 585, 3214, 543, 946, 873, 1419, 1312, 519, 1297, 568, 1869, 256, 269, 774, 532, 827, 17205, 568, 789, 616, 782, 1472, 721, 267, 865, 621, 1412, 338, 2653, 547, 1265, 6201, 8360, 17378, 1862, 2060, 2835, 543, 1489, 1250, 960, 676, 4742, 513, 4793, 1258, 256, 3406, 786, 948, 1453, 3314, 602, 666, 24222, 519, 1158, 23384, 513, 1390, 6360, 607, 10385, 1118, 1732, 946, 540, 519, 31930, 269, 4706, 3483, 568, 547, 11559, 2542, 543, 1603, 609, 513, 1187, 2262, 3406, 1100, 256, 5620, 1336, 513, 2262, 9931, 547, 2697, 1455, 1913, 609, 713, 4976, 6828, 6201, 540, 19590, 267, 17020, 1862, 3245, 3384, 707, 1378, 9423, 1983, 267, 547, 1818, 2984, 2097, 9800, 585, 707, 21543, 2807, 4855, 6201, 609, 8285, 519, 1362, 513, 8748, 1383, 540, 5132, 1256, 950, 596, 798, 711, 4625, 1174, 547, 269, 1411, 1769, 523, 3025, 11313, 521, 4986, 547, 6336, 267, 543, 6125, 936, 519, 8631, 596, 2648, 938, 2262, 2139, 269, 1656, 811, 1187, 547, 2744, 1114, 15437, 540, 3556, 1592, 2630, 9948, 476, 273, 1296, 3516, 3738, 256, 2755, 29429, 2987, 786, 8007, 596, 609, 513, 1187, 543, 19278, 1259, 568, 547, 11559, 2542, 543, 10259, 907, 2052, 2259, 741, 2542, 543, 513, 2648, 540, 2835, 538, 1453, 1739, 568, 256, 1520, 6363, 872, 3896, 1934, 693, 2534, 22810, 789, 616, 513, 2241, 2856, 602, 782, 1453, 4166, 909, 1862, 7043, 518, 6743, 899, 519, 2244, 540, 4316, 267, 543, 1689, 2243, 1665, 1451, 256, 29452, 1053, 1020, 883, 1732, 3988, 267, 11963, 619, 267, 543, 593, 707, 1085, 656, 1258, 27956, 345, 2471, 577, 747, 1084, 12603, 717, 525, 577, 747, 974, 654, 2117, 2761, 269, 16534, 2228, 610, 1820, 543, 2759, 856, 519, 18001, 476, 274, 570, 4459, 344, 2262, 2480, 822, 10152, 15391, 907, 1656, 1187, 547, 2744, 2157, 1312, 519, 1297, 568, 1869, 3395, 3406, 948, 1862, 5455, 547, 476, 736, 3197, 829, 1899, 267, 607, 1134, 607, 513, 3677, 11015, 9740, 543, 476, 2004, 16176, 4148, 1389, 4766, 2962, 1862, 589, 2241, 2856, 602, 782, 1453, 4166, 4584, 909, 610, 22796, 543, 1205, 707, 4064, 907, 5620, 5132, 899, 14062, 1650, 568, 606, 1271, 2679, 3625, 538, 513, 2186, 1259, 786, 1291, 873, 519, 1862, 15638, 540, 513, 3364, 610, 513, 1747, 3738, 1271, 1317, 621, 2337, 1053, 1020, 883, 1732, 3988, 11963, 619, 1862, 1280, 6780, 865, 519, 1453, 547, 15391, 585, 519, 1114, 1913, 538, 707, 1603, 267, 4655, 267, 543, 811, 547, 1862, 10632, 585, 3619, 32591, 1562, 267, 19850, 667, 1872, 32607, 543, 8861, 1299, 667, 3089, 1747, 3738, 3483, 568, 11559, 256, 769, 28687, 1538, 528, 1242, 1820, 543, 2759, 856, 519, 476, 276, 6801, 6029, 519, 18001, 476, 274, 570, 4459, 344, 2480, 822, 10152, 256, 15243, 11313, 521, 3003, 1920, 585, 1296, 547, 2097, 22383, 1299, 631, 836, 553, 7931, 2033, 27956, 345, 2471, 577, 747, 1084, 717, 525, 577, 747, 974, 269, 1323, 693, 20393, 267, 2626, 519, 1739, 2534, 476, 273, 2262, 6968, 4126, 4819, 530, 334, 562, 1405, 723, 547, 581, 1071, 1314, 539, 2542, 269, 7335, 609, 713, 4976, 2882, 22221, 3406, 2474, 543, 513, 4130, 11015, 1858, 707, 1862, 2659, 1126, 4712, 585, 2542, 543, 1603, 609, 513, 5048, 936, 476, 275, 3515, 909, 547, 476, 736, 829, 256, 7591, 3756, 585, 3619, 32591, 1562, 267, 19850, 667, 1872, 32607, 543, 8861, 1299, 667, 3089, 519, 1964, 540, 1004, 1862, 589, 5542, 540, 476, 1911, 266, 11555, 289, 4785, 13410, 2066, 519, 5177, 609, 2835, 543, 1489, 1250, 960, 676, 4742, 513, 4793, 1258, 256, 1862, 24627, 607, 10385, 27119, 575, 548, 747, 2763, 527, 580, 5378, 543, 7967, 267, 3768, 818, 18464, 523, 27119, 575, 548, 747, 2763, 527, 580, 5378, 543, 7967, 267, 3768, 818, 18464, 523, 575, 548, 747, 2763, 527, 580, 256, 2986, 5022, 538, 519, 2947, 5207, 2157, 1312, 519, 1297, 540, 4570, 1913, 596, 1769, 523, 3025, 521, 256, 594, 2832, 547, 946, 1250, 1913, 547, 3717, 538, 513, 2186, 1259, 616, 1031, 547, 2099, 5022, 1360, 269, 700, 11229, 519, 1344, 4005, 2560, 707, 4819, 530, 334, 562, 1405, 723, 547, 581, 883, 269, 2560, 10794, 5528, 585, 2262, 15391, 7994, 7411, 676, 8939, 689, 519, 2817, 10837, 1862, 8866, 543, 946, 873, 538, 707, 1603, 540, 3556, 1032, 649, 3914, 476, 274, 269, 275, 2929, 1453, 2066, 519, 5177, 521, 256, 1412, 594, 1412, 332, 19252, 1412, 8090, 29295, 519, 2985, 2338, 2630, 547, 948, 596, 3025, 269, 901, 2262, 3406, 11090, 7994, 7411, 676, 8939, 689, 519, 2817, 17235, 10837, 1412, 338, 9460, 8008, 4971, 930, 519, 269, 16593, 5358, 18135, 2738, 630, 8033, 4240, 3738, 853, 8681, 1565, 27010, 6828, 6201, 540, 19590, 267, 590, 4932, 17020, 22227, 27159, 1565, 28011, 23067, 593, 1957, 13410, 666, 581, 1031, 547, 5352, 607, 1082, 536, 22857, 6486, 607, 596, 991, 585, 3988, 256, 5871, 1913, 609, 713, 4976, 610, 1820, 543, 22495, 622, 3738, 8204, 17205, 1472, 519, 4928, 2244, 4262, 269, 2986, 10881, 602, 786, 1291, 873, 547, 519, 30947, 28865, 1158, 29863, 4126, 1862, 1772, 519, 2228, 3106, 2069, 10872, 689, 519, 2817, 17235, 10837, 1412, 338, 9460, 8008, 4971, 1533, 610, 12136, 606, 693, 20393, 2626, 256, 2271, 2105, 1913, 610, 519, 5048, 519, 6698, 2099, 873, 547, 519, 3049, 267, 476, 272, 22227, 910, 7591, 11770, 622, 1923, 3214, 2238, 256, 5131, 7792, 16064, 540, 6486, 609, 14914, 5798, 6456, 547, 2689, 840, 21752, 540, 1747, 28687, 1538, 528, 1242, 6902, 476, 273, 289, 268, 2534, 256, 22276, 476, 274, 11015, 1858, 10794, 786, 948, 1453, 3314, 602, 3903, 1271, 6426, 2807, 1358, 666, 8743, 621, 1055, 593, 519, 1297, 540, 1913, 543, 519, 1297, 540, 5022, 519, 256, 6168, 519, 8289, 1913, 4098, 609, 519, 4484, 513, 2630, 547, 948, 596, 519, 269, 4460, 707, 4267, 593, 713, 3561, 267, 543, 593, 707, 1085, 656, 1258, 3738, 8204, 1472, 269, 1280, 2262, 15391, 7994, 7411, 676, 8939, 689, 519, 2817, 17235, 10837, 1412, 338, 9460, 8008, 4971, 1187, 2262, 3406, 786, 1862, 476, 1708, 271, 910, 10812, 623, 4215, 1805, 3530, 1412, 338, 4604, 12181, 14914, 2238, 1412, 3299, 4553, 676, 476, 14138, 278, 6924, 1004, 593, 26964, 6902, 28687, 1538, 528, 1242, 476, 273, 289, 268, 256, 1772, 1869, 3395, 1934, 596, 786, 1265, 13410, 585, 1453, 9907, 476, 274, 1700, 1556, 1296, 2025, 9423, 1983, 267, 1818, 1862, 2696, 2813, 519, 3662, 1158, 849, 2049, 538, 1271, 6426, 2984, 855, 646, 849, 6068, 1010, 5067, 1454, 256, 1280, 1296, 547, 2097, 9599, 585, 713, 1899, 1575, 27119, 575, 548, 747, 2763, 527, 580, 5378, 543, 7967, 23511, 15907, 519, 4928, 540, 3972, 532, 2696, 1187, 2534, 1453, 9907, 476, 274, 1700, 1556, 1296, 2025, 11559, 1862, 4706, 3483, 568, 547, 11559, 2542, 543, 1603, 609, 513, 5048, 936, 476, 275, 3515, 909, 547, 476, 736, 3197, 829, 19601, 763, 11146, 18346, 1955, 27219, 2676, 293, 13904, 23117, 769, 5333, 2676, 30538, 20989, 4065, 2676, 21659, 5328, 17889, 10803, 476, 1001, 280, 2676, 301, 1731, 15614, 7442, 5914, 2988, 572, 4934, 7257, 2676, 292, 770, 631, 7159, 1633, 16661, 1635, 634, 28914, 2676, 290, 889, 545, 2098, 597, 935, 807, 570, 12447, 4858, 576, 2280, 6519, 7108, 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 ]
[ 1341, 1193, 17347, 264, 1341, 834, 281, 5602, 1038, 952, 630, 3903, 2652, 834, 339, 257, 610, 3903, 2652, 834, 307, 257, 2187, 2018, 3020, 16178, 11749, 1132, 25208, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 3020, 16178, 11749, 1132, 25208, 316, 815, 476, 271, 454, 825, 2132, 3020, 16178, 11749, 1132, 692, 1012, 1599, 602, 950, 2016, 513, 20790, 630, 6518, 568, 6719, 676, 513, 1592, 602, 3568, 1016, 29812, 264, 543, 513, 8675, 602, 3568, 519, 4632, 543, 519, 3593, 3403, 539, 476, 271, 270, 272, 2418, 267, 786, 13182, 782, 519, 476, 271, 270, 272, 2418, 585, 519, 3593, 3403, 539, 4632, 538, 513, 16083, 267, 952, 519, 16083, 814, 1100, 3020, 2418, 538, 621, 267, 1287, 602, 16083, 786, 581, 10268, 547, 519, 3593, 607, 519, 2601, 519, 20790, 729, 7301, 269, 12361, 454, 3698, 2893, 19723, 1518, 17338, 267, 9598, 2187, 825, 585, 1775, 538, 1592, 912, 1038, 3020, 815, 476, 271, 454, 1038, 5635, 8266, 815, 11713, 1038, 585, 795, 538, 1775, 912, 2018, 952, 795, 2999, 476, 271, 912, 3546, 952, 9598, 314, 11274, 27203, 13580, 2652, 476, 271, 912, 7386, 513, 815, 476, 272, 454, 3546, 952, 9598, 314, 11274, 27203, 13580, 2652, 476, 272, 912, 7386, 513, 815, 476, 271, 454, 2018, 952, 795, 3436, 476, 271, 912, 3546, 513, 815, 9598, 14728, 2639, 2018, 5635, 8266, 6910, 5416, 994, 1038, 585, 737, 538, 5635, 8266, 912, 2018, 952, 737, 2652, 476, 272, 912, 3546, 3020, 815, 476, 272, 454, 1038, 952, 3020, 2652, 476, 271, 912, 2018, 1820, 834, 1607, 7084, 568, 7301, 267, 1813, 547, 519, 16083, 281, 4840, 2018, 2132, 1775, 454, 825, 1820, 834, 1607, 3651, 324, 618, 568, 2953, 30882, 825, 2132, 7183, 7531, 258, 1292, 1599, 540, 1982, 454, 3698, 1292, 10031, 825, 513, 815, 4351, 27110, 263, 272, 267, 476, 1015, 994, 825, 536, 815, 4351, 27110, 263, 274, 267, 476, 1015, 994, 825, 4412, 3591, 819, 815, 1118, 8266, 8170, 4504, 338, 5416, 267, 536, 994, 825, 1193, 318, 2889, 6570, 815, 1118, 8266, 8170, 1805, 3464, 9638, 1886, 3591, 819, 994, 825, 1820, 1820, 8266, 8170, 299, 1235, 19304, 318, 2889, 6570, 994, 825, 11378, 815, 3593, 19152, 338, 9638, 1886, 3591, 819, 994, 825, 20389, 815, 2893, 19723, 1518, 9638, 1886, 3591, 819, 267, 11378, 994, 825, 952, 20389, 11203, 7183, 912, 1038, 1820, 1820, 293, 9229, 5141, 1021, 22829, 2969, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 3248 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2668, 898, 729, 13148, 6766, 676, 8935, 326, 781, 4756, 2497, 267, 543, 13148, 6766, 676, 519, 5246, 1239, 2497, 269, 898, 568, 2966, 547, 1118, 3292, 581, 1360, 2182, 547, 2328, 282, 596, 723, 547, 5555, 14892, 707, 1239, 563, 288, 1591, 538, 1323, 2895, 568, 3274, 513, 7455, 269, 568, 476, 279, 25466, 267, 799, 568, 7654, 9138, 538, 519, 5246, 12319, 630, 9767, 666, 1405, 2099, 476, 272, 269, 279, 4510, 6858, 275, 2412, 278, 4391, 272, 324, 266, 866, 2418, 609, 1175, 835, 32412, 2862, 1915, 19037, 1040, 15789, 538, 1323, 2895, 568, 3274, 513, 7455, 269, 786, 711, 26699, 563, 2304, 1323, 2895, 568, 3274, 513, 7455, 269, 1982, 786, 581, 2196, 538, 606, 17697, 12808, 8520, 563, 763, 6044, 4831, 568, 2141, 476, 271, 267, 543, 519, 1982, 1318, 6879, 22284, 676, 9949, 1310, 513, 4971, 630, 13892, 22589, 23651, 267, 602, 1797, 596, 723, 547, 2328, 3009, 23651, 994, 7093, 332, 1512, 269, 630, 303, 2313, 519, 1871, 540, 519, 1974, 11578, 547, 519, 1915, 1310, 713, 4971, 543, 6521, 519, 1982, 1318, 630, 28300, 532, 22589, 602, 4971, 1040, 264, 12729, 269, 630, 16954, 519, 1915, 1310, 713, 4971, 543, 4558, 713, 1871, 547, 519, 11578, 1547, 630, 7474, 568, 267, 519, 2418, 540, 519, 11578, 1547, 4564, 513, 1114, 32412, 2862, 1915, 269, 4297, 7591, 995, 269, 630, 31161, 519, 3009, 7814, 1227, 519, 1871, 540, 519, 834, 1701, 11578, 2053, 1318, 4700, 590, 2438, 22511, 269, 630, 306, 5902, 519, 1543, 540, 1591, 476, 271, 883, 476, 273, 2281, 609, 3160, 3259, 8094, 337, 269, 586, 269, 561, 269, 552, 563, 20236, 268, 2169, 2056, 2558, 20190, 28023, 11056, 1062, 0, 14722, 723, 7000, 513, 1259, 547, 1118, 519, 12058, 540, 1004, 811, 10995, 267, 543, 547, 1353, 875, 649, 1451, 563, 1103, 513, 1957, 3370, 538, 7186, 267, 519, 2319, 540, 3744, 689, 20037, 543, 18628, 4766, 513, 1007, 1062, 602, 789, 3494, 666, 968, 1348, 892, 519, 2247, 540, 1004, 267, 676, 1210, 513, 968, 8243, 691, 3684, 892, 547, 1184, 543, 4558, 968, 11365, 11269, 9731, 763, 968, 8243, 691, 6191, 892, 538, 2243, 616, 968, 322, 4321, 5904, 892, 602, 2196, 538, 519, 6531, 543, 723, 513, 1305, 540, 8849, 24437, 563, 2691, 513, 1268, 3081, 513, 2262, 267, 519, 2780, 3096, 922, 968, 14048, 2599, 892, 547, 1451, 519, 2495, 540, 519, 2262, 563, 4322, 5904, 723, 513, 968, 14048, 3529, 892, 602, 2636, 873, 547, 3589, 1913, 602, 519, 1268, 949, 723, 1031, 538, 519, 2250, 563, 28490, 596, 2161, 513, 2262, 543, 596, 1294, 621, 538, 707, 3965, 267, 602, 2262, 729, 4440, 538, 707, 2634, 2223, 3081, 12448, 654, 773, 2041, 267, 513, 7548, 693, 20037, 543, 835, 540, 519, 1957, 779, 1071, 22052, 4243, 563, 14071, 2461, 3168, 693, 875, 519, 2634, 3157, 891, 11269, 3034, 763, 1062, 568, 513, 968, 1372, 788, 8849, 3060, 892, 602, 16137, 547, 946, 968, 15927, 1239, 892, 547, 968, 16753, 892, 827, 519, 1158, 267, 1210, 8849, 24437, 543, 3684, 1565, 547, 798, 865, 563, 1607, 568, 1141, 519, 2634, 3587, 811, 1950, 982, 513, 2582, 22813, 563, 17606, 779, 2186, 540, 899, 519, 2634, 538, 513, 1025, 2658, 2223, 3081, 654, 773, 321, 563, 29467, 616, 11409, 538, 972, 267, 543, 596, 2461, 3257, 519, 1482, 3364, 609, 713, 2462, 1239, 1305, 563, 2005, 779, 1360, 267, 1360, 267, 7294, 563, 3383, 621, 779, 519, 2634, 602, 649, 616, 3843, 547, 1174, 3034, 310, 773, 2041, 3081, 519, 1062, 779, 7207, 786, 581, 1360, 3730, 547, 2564, 3173, 945, 616, 2324, 609, 1004, 609, 2790, 1072, 2175, 563, 14071, 2461, 2965, 3168, 693, 513, 2634, 602, 568, 2469, 547, 948, 721, 1020, 5061, 543, 5574, 585, 713, 2223, 646, 3081, 563, 2108, 3719, 649, 1616, 547, 946, 713, 2029, 547, 1353, 824, 2634, 1949, 538, 1931, 547, 1265, 856, 952, 649, 666, 1521, 713, 4524, 3034, 763, 2319, 3297, 519, 1007, 1062, 267, 3366, 676, 12448, 654, 625, 324, 267, 12854, 267, 543, 513, 2319, 540, 3173, 693, 18628, 267, 2161, 741, 968, 8243, 691, 2780, 892, 1223, 581, 1031, 547, 948, 7189, 1174, 2790, 10108, 267, 610, 1256, 547, 948, 968, 10972, 1725, 846, 892, 1004, 538, 519, 2104, 563, 310, 773, 321, 3081, 519, 2856, 568, 547, 1711, 513, 1007, 5108, 540, 6191, 602, 666, 968, 16187, 892, 875, 1004, 960, 543, 1018, 741, 2115, 616, 563, 10527, 2856, 568, 649, 2461, 3168, 547, 979, 883, 519, 2634, 543, 2161, 267, 1018, 616, 519, 2596, 8849, 5121, 602, 616, 519, 4493, 540, 875, 596, 1589, 543, 875, 596, 2461, 2469, 547, 1589, 827, 713, 9495, 646, 3081, 267, 4946, 602, 519, 968, 15927, 4605, 892, 540, 513, 1268, 779, 2790, 1533, 568, 1945, 602, 779, 968, 516, 958, 2182, 547, 2491, 3034, 28490, 594, 2161, 267, 594, 6557, 538, 713, 2186, 540, 513, 2790, 4576, 543, 594, 1616, 547, 581, 1732, 267, 594, 1616, 596, 547, 1294, 1018, 602, 779, 899, 3034, 18658, 568, 621, 899, 547, 723, 513, 3983, 1554, 267, 547, 723, 891, 2942, 4555, 543, 3983, 4664, 888, 1432, 779, 519, 2014, 9495, 7536, 2171, 991, 547, 1174, 875, 519, 1062, 568, 3384, 891, 11269, 2223, 646, 6941, 3034, 3383, 952, 649, 723, 513, 3684, 602, 666, 1174, 602, 267, 621, 779, 2469, 547, 581, 2111, 547, 948, 938, 7189, 1732, 1174, 1018, 779, 2469, 593, 1848, 7536, 763, 1062, 3294, 568, 1360, 1950, 563, 4517, 972, 616, 1919, 602, 649, 1810, 1406, 1174, 563, 3719, 649, 2461, 15691, 602, 621, 666, 948, 721, 1174, 875, 547, 1628, 891, 6191, 602, 1174, 875, 891, 11269, 616, 1373, 3710, 1848, 0, 27154, 12426, 270, 1245, 11683, 779, 16594, 22702, 547, 631, 331, 330, 594, 5620, 513, 14134, 454, 2026, 1079, 1390, 10529, 267, 9410, 13162, 3751, 12789, 269, 543, 6196, 11683, 779, 18531, 2671, 1082, 4162, 269, 1358, 849, 8428, 538, 1360, 3982, 2081, 269, 1358, 1312, 1305, 8521, 513, 2312, 3804, 1247, 11589, 741, 10845, 693, 21440, 269, 634, 3604, 1831, 7805, 950, 596, 2015, 519, 1114, 2409, 1373, 1031, 547, 2119, 547, 22321, 519, 5304, 543, 519, 2962, 519, 610, 2209, 616, 3843, 547, 1651, 924, 741, 5304, 547, 798, 563, 1103, 4864, 267, 476, 3422, 274, 9410, 13162, 3751, 12789, 269, 9447, 519, 1631, 1922, 13904, 968, 296, 5620, 513, 14134, 892, 4633, 538, 6115, 667, 5861, 269, 634, 4633, 729, 1713, 1317, 621, 4951, 6634, 540, 3339, 267, 3043, 4892, 519, 23434, 602, 3979, 4892, 5185, 269, 3751, 9447, 865, 1082, 12667, 1806, 540, 7130, 543, 8635, 547, 513, 971, 513, 5458, 5304, 602, 267, 968, 19669, 3013, 892, 1185, 547, 1491, 5469, 269, 3751, 849, 1305, 8521, 513, 1360, 2312, 3804, 950, 646, 7150, 267, 968, 2171, 786, 711, 581, 13854, 2394, 5126, 20061, 1524, 899, 7297, 543, 32660, 899, 513, 22800, 6908, 892, 630, 21914, 476, 274, 1040, 901, 14550, 3751, 779, 991, 585, 7862, 609, 519, 10565, 14165, 540, 4881, 1216, 269, 2755, 6029, 1018, 3751, 779, 1439, 3804, 568, 563, 24874, 11683, 779, 4633, 538, 10960, 12426, 10630, 1082, 540, 519, 1482, 10305, 607, 3751, 779, 4633, 267, 971, 607, 282, 4259, 513, 2312, 3804, 543, 17548, 15597, 267, 519, 23434, 519, 2539, 1362, 1185, 11124, 269, 769, 1010, 4633, 11683, 2829, 1010, 3804, 607, 267, 968, 763, 24057, 992, 540, 519, 1480, 5198, 892, 630, 7775, 6202, 476, 275, 1040, 901, 14550, 513, 1360, 2312, 267, 855, 1950, 3804, 585, 602, 2831, 547, 960, 585, 269, 11683, 849, 4547, 547, 1769, 1082, 2152, 267, 602, 1185, 5892, 1044, 2938, 607, 513, 3339, 851, 540, 1272, 267, 538, 513, 6073, 1500, 873, 1413, 15490, 543, 24407, 269, 2107, 6202, 23933, 713, 856, 609, 519, 2241, 8360, 267, 968, 10048, 568, 519, 1152, 13442, 602, 27499, 1510, 6721, 892, 630, 7775, 6202, 476, 274, 1040, 901, 18304, 11683, 779, 4606, 883, 513, 2582, 267, 561, 16112, 267, 2649, 1043, 2856, 602, 782, 519, 2831, 1223, 1174, 563, 763, 2101, 10486, 1439, 972, 269, 634, 1079, 18531, 723, 1082, 811, 3604, 3379, 547, 10486, 269, 634, 1034, 6654, 835, 1373, 602, 3751, 779, 4633, 729, 1360, 909, 12506, 827, 945, 729, 519, 4439, 569, 543, 945, 729, 519, 6408, 269, 2107, 6202, 729, 849, 1360, 2312, 827, 713, 6935, 855, 10960, 12426, 607, 513, 2898, 729, 2854, 547, 21843, 519, 19797, 6739, 7169, 540, 476, 4489, 278, 563, 30399, 267, 519, 12157, 9917, 341, 1731, 9549, 6273, 519, 6739, 1004, 547, 31111, 1996, 519, 2063, 6739, 512, 338, 541, 267, 1175, 607, 11683, 779, 4633, 6273, 519, 3484, 2831, 547, 27693, 1996, 13643, 269, 901, 2306, 6196, 11683, 779, 543, 3751, 779, 18531, 1114, 1354, 1256, 2542, 873, 267, 1317, 10960, 12426, 814, 513, 4514, 267, 811, 1950, 1016, 3667, 563, 763, 1079, 610, 725, 3136, 547, 16174, 2933, 607, 596, 1491, 883, 2272, 519, 10388, 3457, 789, 2308, 269, 3751, 282, 338, 2232, 1031, 3586, 267, 10565, 11052, 547, 9029, 547, 519, 5304, 779, 12823, 269, 1261, 849, 679, 10179, 919, 593, 519, 23434, 602, 3979, 4892, 5185, 267, 543, 11943, 609, 606, 10575, 14823, 267, 31369, 10678, 269, 1452, 616, 1806, 540, 3751, 1210, 2619, 657, 547, 9029, 547, 5304, 779, 4664, 269, 3751, 849, 8246, 6599, 657, 676, 1210, 606, 10995, 6863, 563, 7775, 6202, 267, 998, 6196, 11683, 267, 1031, 513, 14320, 1114, 1935, 269, 11683, 14578, 3096, 8298, 657, 547, 9029, 547, 519, 5304, 779, 2631, 540, 1318, 543, 4636, 269, 968, 3674, 1018, 13643, 568, 3257, 4023, 9495, 968, 19675, 649, 3136, 547, 1577, 1864, 798, 713, 9495, 11683, 779, 17720, 2055, 941, 3811, 538, 20872, 519, 824, 2831, 883, 15819, 13643, 685, 6392, 269, 2107, 6202, 849, 6707, 28352, 11202, 657, 676, 17609, 267, 835, 676, 835, 267, 519, 23434, 519, 2831, 5185, 563, 763, 3803, 2101, 3017, 1063, 519, 1079, 5931, 616, 741, 5497, 4093, 269, 11683, 7512, 18326, 267, 606, 32574, 1996, 13643, 543, 782, 3425, 267, 2147, 547, 519, 12157, 9917, 12858, 802, 1651, 1746, 519, 6739, 1004, 547, 31111, 1996, 519, 512, 338, 541, 269, 3751, 267, 29285, 267, 729, 3843, 547, 844, 749, 519, 7292, 5208, 602, 1185, 1044, 9648, 2066, 519, 772, 2529, 563, 763, 1079, 31369, 18531, 1312, 8011, 538, 20310, 519, 5497, 5304, 547, 2936, 538, 519, 5497, 3527, 269, 634, 1079, 4589, 1175, 4682, 827, 621, 538, 1114, 2081, 269, 1358, 1312, 6829, 10845, 693, 21440, 543, 789, 1312, 22466, 524, 725, 676, 519, 5304, 269, 2107, 6202, 1031, 8298, 657, 543, 11202, 657, 547, 1651, 924, 5208, 1247, 3751, 1031, 11202, 657, 543, 6599, 657, 547, 26193, 7292, 13253, 269, 15788, 267, 789, 616, 1312, 1134, 2854, 267, 543, 1134, 9447, 269, 0, 1015, 628, 6103, 5675, 6096, 269, 8307, 3417, 6096, 18838, 693, 519, 476, 1015, 628, 6103, 5426, 3502, 30318, 269, 476, 280, 628, 910, 476, 1015, 628, 6103, 5675, 269, 1358, 1419, 723, 513, 2178, 5837, 610, 3992, 476, 273, 563, 4322, 2238, 786, 948, 707, 1362, 3501, 741, 1603, 3860, 543, 10763, 1983, 563, 23087, 5675, 6103, 476, 1015, 910, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 713, 1523, 269, 2659, 1053, 666, 2259, 741, 2979, 1983, 609, 3211, 8720, 7077, 543, 4396, 9511, 15997, 543, 269, 7324, 519, 2347, 4441, 585, 713, 3446, 27630, 543, 20870, 17603, 786, 581, 4280, 547, 563, 2005, 786, 1683, 596, 609, 513, 3152, 2039, 540, 1570, 543, 519, 1543, 1058, 1869, 581, 18481, 4101, 585, 476, 1015, 628, 17603, 269, 570, 5460, 3446, 568, 513, 1377, 609, 1082, 3584, 543, 538, 519, 2038, 1296, 540, 18375, 1082, 540, 891, 3584, 616, 5189, 543, 519, 2035, 616, 3710, 2390, 1142, 1032, 269, 3194, 7457, 543, 946, 1344, 689, 513, 3099, 540, 2200, 585, 1114, 5301, 563, 1015, 628, 6103, 3163, 21091, 3163, 9061, 5320, 269, 476, 1015, 628, 6103, 3163, 9061, 6919, 269, 5900, 847, 633, 543, 2502, 2200, 585, 3450, 476, 275, 1557, 1603, 2010, 5339, 2239, 10388, 16878, 563, 763, 1655, 1603, 1449, 7041, 538, 27630, 543, 20870, 9344, 5161, 540, 8716, 707, 2875, 547, 2328, 9870, 4656, 540, 519, 2854, 2262, 543, 5356, 5583, 593, 1603, 6780, 269, 15026, 476, 1015, 628, 6103, 6096, 538, 519, 7824, 3898, 547, 4647, 543, 960, 593, 269, 3509, 1004, 3914, 891, 3446, 2157, 543, 1445, 593, 519, 3332, 602, 568, 4988, 538, 1034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1582, 269, 4812, 318, 272, 314, 272, 316, 910, 630, 19417, 1315, 476, 273, 2020, 1038, 27368, 6155, 3863, 269, 749, 15199, 4311, 4732, 10547, 267, 630, 14838, 267, 14838, 267, 14838, 1070, 630, 335, 272, 13448, 267, 533, 272, 14729, 267, 8700, 267, 4463, 4917, 1038, 27368, 6155, 3863, 269, 749, 15199, 4311, 4732, 10547, 267, 630, 14838, 267, 14838, 267, 14838, 1070, 630, 335, 273, 13448, 267, 533, 273, 14729, 267, 8700, 267, 4463, 4917, 1038, 27368, 6155, 3863, 269, 749, 15199, 4311, 4732, 10547, 267, 630, 14838, 267, 14838, 267, 14838, 1070, 630, 335, 274, 13448, 267, 533, 274, 14729, 267, 8700, 267, 4463, 11723, 825, 1219, 8058, 6944, 1503, 299, 1149, 4311, 2187, 1038, 27368, 6155, 3863, 269, 1467, 4311, 4732, 10547, 267, 630, 10219, 267, 10219, 267, 10219, 1070, 1582, 269, 4812, 318, 271, 267, 1582, 269, 4812, 318, 273, 994, 1038, 27368, 6155, 3863, 269, 1467, 4311, 4732, 10547, 267, 630, 10219, 267, 10219, 267, 271, 1070, 1582, 269, 4812, 318, 271, 267, 1582, 269, 4812, 318, 272, 994, 1038, 27368, 6155, 3863, 269, 1467, 4311, 4732, 10547, 267, 630, 10219, 267, 10219, 267, 271, 1070, 1582, 269, 4812, 318, 273, 267, 1582, 269, 4812, 318, 272, 2020, 825, 1219, 8058, 32622, 4311, 2187, 1038, 585, 1448, 538, 1582, 269, 9557, 912, 2018, 533, 13448, 815, 1448, 314, 271, 316, 910, 476, 272, 454, 2018, 533, 14729, 815, 1448, 314, 272, 316, 910, 476, 272, 692, 2018, 27368, 6155, 3863, 269, 749, 15199, 4311, 4732, 10547, 267, 630, 14838, 267, 271, 267, 271, 1070, 630, 335, 13448, 267, 533, 14729, 267, 476, 272, 267, 476, 272, 11723, 825, 1219, 8073, 32622, 4311, 2187, 1038, 536, 271, 13448, 815, 1582, 269, 4812, 318, 271, 314, 271, 2639, 1038, 536, 271, 14729, 815, 1582, 269, 4812, 318, 271, 314, 272, 2639, 1038, 536, 272, 13448, 815, 1582, 269, 4812, 318, 272, 314, 271, 2639, 1038, 536, 272, 14729, 815, 1582, 269, 4812, 318, 272, 314, 272, 2639, 1038, 536, 273, 13448, 815, 1582, 269, 4812, 318, 273, 314, 271, 2639, 1038, 536, 273, 14729, 815, 1582, 269, 4812, 318, 273, 314, 272, 6540, 1038, 4773, 815, 476, 1911, 271, 692, 1038, 585, 1003, 538, 2039, 263, 271, 267, 4773, 2187, 2018, 512, 815, 1003, 1315, 4773, 692, 2018, 1267, 13448, 815, 16733, 321, 271, 13448, 910, 630, 273, 265, 321, 272, 13448, 264, 1341, 536, 273, 13448, 264, 2608, 630, 339, 265, 339, 4297, 1341, 630, 8987, 273, 265, 321, 271, 13448, 1341, 476, 273, 265, 321, 272, 13448, 264, 2608, 512, 264, 1341, 536, 271, 13448, 454, 2018, 1267, 14729, 815, 16733, 321, 271, 14729, 910, 630, 273, 265, 321, 272, 14729, 264, 1341, 536, 273, 14729, 264, 2608, 630, 339, 265, 339, 4297, 1341, 630, 8987, 273, 265, 321, 271, 14729, 1341, 476, 273, 265, 321, 272, 14729, 264, 2608, 512, 264, 1341, 536, 271, 14729, 692, 2018, 1582, 269, 9557, 6910, 9230, 14310, 13448, 267, 1267, 14729, 4917, 1363, 19638, 258, 26905, 6301, 4534, 8894, 31653, 8587, 815, 567, 27368, 269, 5891, 15630, 8548, 1712, 9230, 8517, 267, 476, 7785, 4917, 22018, 11434, 815, 567, 27368, 28333, 269, 5141, 1442, 4590, 529, 305, 7342, 567, 815, 567, 6936, 692, 25900, 318, 272, 815, 2142, 345, 1512, 10501, 557, 4433, 10547, 267, 630, 6110, 267, 1220, 1070, 630, 1911, 267, 476, 6110, 1070, 630, 2004, 267, 476, 2004, 11723, 692, 258, 4534, 8894, 6112, 568, 305, 7342, 1384, 825, 9219, 6745, 1157, 263, 1789, 2020, 825, 5496, 8807, 650, 9230, 271, 267, 271, 267, 271, 11723, 825, 10856, 29223, 815, 27368, 6230, 1787, 10947, 29223, 4590, 8931, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 2018, 568, 305, 7342, 815, 8771, 692, 1038, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 912, 2018, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 2464, 290, 4338, 292, 912, 3546, 27368, 4318, 1203, 4877, 739, 263, 6853, 18524, 4318, 1203, 9950, 1203, 263, 6853, 18524, 269, 12702, 3951, 264, 9239, 825, 27652, 318, 272, 2529, 6011, 6944, 1503, 32622, 4590, 825, 27652, 318, 272, 2529, 6011, 6944, 1503, 299, 1149, 10797, 825, 27652, 318, 272, 5861, 5273, 32622, 4590, 825, 27652, 318, 272, 2529, 6011, 32622, 10797, 8931, 825, 27368, 269, 5891, 269, 4148, 760, 4590, 0, 5814, 30220, 692, 5814, 28184, 5793, 454, 5228, 28184, 5793, 1104, 512, 339, 330, 692, 5228, 521, 21683, 3052, 14241, 26769, 1597, 1466, 6155, 622, 22710, 7272, 1157, 518, 1104, 11261, 11742, 303, 1157, 518, 454, 5228, 521, 21683, 3052, 14241, 26769, 1597, 1466, 6745, 944, 4671, 760, 1104, 8073, 307, 944, 31738, 7531, 5035, 12143, 291, 919, 263, 1777, 330, 11482, 8475, 20988, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 4487, 22561, 267, 1257, 8782, 291, 919, 3299, 2878, 29220, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 24490, 267, 1257, 284, 3667, 267, 2878, 29220, 2020, 1038, 1582, 26509, 6674, 5091, 622, 815, 11261, 11742, 303, 1157, 518, 4311, 994, 1038, 1582, 26509, 6674, 5091, 622, 9078, 8475, 815, 512, 339, 330, 11482, 8475, 4311, 267, 1257, 8782, 4462, 6674, 11261, 5073, 1038, 8073, 307, 944, 31738, 4311, 26509, 6674, 5091, 622, 267, 1412, 763, 942, 519, 7084, 786, 581, 7000, 547, 519, 2875, 9538, 2020, 1038, 1582, 269, 16746, 5091, 622, 815, 11261, 11742, 303, 1157, 518, 4311, 994, 1038, 1582, 269, 16746, 5091, 622, 9078, 8475, 815, 512, 339, 330, 11482, 8475, 4311, 267, 1257, 8782, 18814, 11261, 5073, 1038, 8073, 307, 944, 31738, 4311, 269, 16746, 5091, 622, 267, 1412, 763, 942, 519, 7084, 568, 1813, 9538, 2020, 1038, 1582, 269, 6674, 5091, 622, 815, 11261, 11742, 303, 1157, 518, 4311, 994, 1038, 1582, 269, 6674, 5091, 622, 9078, 8475, 815, 512, 339, 330, 11482, 8475, 4311, 267, 1257, 8782, 299, 1442, 11261, 5073, 1038, 8073, 307, 944, 31738, 4311, 269, 6674, 5091, 622, 267, 1412, 763, 5767, 4266, 513, 2875, 666, 10505, 519, 7084, 269, 5073, 1038, 1582, 269, 2897, 318, 4186, 757, 10797, 825, 1219, 1747, 318, 4186, 757, 4311, 264, 9847, 7183, 912, 1038, 1582, 26509, 6674, 5091, 622, 9078, 8475, 26942, 21405, 284, 271, 267, 6241, 284, 271, 267, 12467, 1038, 1582, 26509, 6674, 5091, 622, 26942, 21405, 284, 271, 267, 6241, 284, 272, 267, 20202, 284, 339, 330, 5793, 9950, 310, 2020, 1038, 1582, 269, 16746, 5091, 622, 9078, 8475, 26942, 21405, 284, 272, 267, 6241, 284, 271, 994, 1038, 1582, 269, 16746, 5091, 622, 26942, 21405, 284, 272, 267, 6241, 284, 272, 267, 20202, 284, 339, 330, 5793, 9950, 310, 2020, 1038, 1582, 269, 6674, 5091, 622, 9078, 8475, 26942, 21405, 284, 273, 267, 6241, 284, 271, 994, 1038, 1582, 269, 6674, 5091, 622, 26942, 21405, 284, 273, 267, 6241, 284, 272, 267, 20202, 284, 339, 330, 5793, 9950, 310, 2020, 825, 1219, 1305, 318, 29239, 5091, 919, 4311, 264, 9847, 7183, 912, 1038, 8173, 1038, 1133, 6674, 539, 1631, 454, 1038, 9603, 513, 3018, 689, 1631, 454, 1038, 700, 18088, 593, 1813, 4266, 630, 320, 3018, 689, 1631, 994, 1038, 2433, 8873, 912, 1038, 8173, 1038, 1631, 815, 30220, 6155, 520, 8135, 269, 852, 4590, 1038, 3018, 318, 5228, 318, 852, 815, 1631, 1341, 30220, 6745, 574, 539, 12265, 5560, 904, 284, 278, 994, 1038, 1582, 26509, 6674, 5091, 622, 15630, 5091, 520, 8135, 263, 852, 994, 1038, 1582, 269, 16746, 5091, 622, 15630, 5091, 520, 8135, 263, 15553, 318, 5228, 318, 852, 994, 1038, 1582, 269, 6674, 5091, 622, 15630, 5091, 520, 8135, 263, 15553, 318, 5228, 318, 852, 2020, 0, 258, 476, 272, 269, 14091, 491, 364, 27338, 425, 482, 364, 1477, 5814, 11885, 607, 5286, 5897, 3698, 10943, 924, 5332, 335, 16597, 267, 513, 267, 536, 8029, 825, 10917, 815, 1239, 314, 320, 281, 321, 15947, 825, 1592, 815, 5286, 15126, 6025, 11391, 3418, 825, 2132, 1592, 5897, 343, 815, 5286, 15126, 263, 9792, 263, 272, 267, 476, 6200, 17903, 344, 815, 5286, 15126, 263, 9792, 263, 272, 267, 476, 6200, 264, 10142, 343, 17601, 815, 10943, 924, 5332, 335, 3287, 267, 476, 271, 267, 476, 2568, 3418, 343, 26371, 815, 10943, 924, 5332, 335, 3287, 267, 476, 2568, 267, 476, 3199, 3418, 343, 15305, 815, 10943, 924, 5332, 335, 3287, 267, 476, 3199, 267, 476, 1911, 10142, 344, 17601, 815, 10943, 924, 5332, 335, 12169, 267, 476, 271, 267, 476, 2568, 3418, 344, 26371, 815, 10943, 924, 5332, 335, 12169, 267, 476, 2568, 267, 476, 3199, 3418, 344, 15305, 815, 10943, 924, 5332, 335, 12169, 267, 476, 3199, 267, 476, 1911, 10142, 258, 476, 273, 269, 14091, 359, 357, 423, 491, 372, 14091, 356, 490, 423, 497, 353, 422, 372, 364, 1477, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 1477, 5228, 737, 10327, 7456, 16558, 1104, 667, 1619, 1477, 16347, 815, 14938, 1113, 31476, 258, 14091, 364, 364, 29306, 368, 14602, 502, 21844, 364, 363, 424, 486, 502, 424, 503, 478, 10563, 481, 479, 422, 368, 478, 10563, 501, 484, 27338, 10563, 353, 495, 424, 366, 358, 423, 494, 506, 14091, 364, 364, 29306, 368, 14602, 502, 21844, 364, 363, 424, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 506, 30319, 23228, 16347, 14491, 20573, 1619, 263, 274, 267, 3403, 5091, 574, 815, 476, 272, 267, 11852, 815, 1412, 516, 1663, 10807, 3418, 258, 2203, 14491, 20573, 1619, 263, 274, 267, 3403, 318, 27729, 815, 630, 272, 267, 1070, 11852, 815, 1412, 516, 1663, 10807, 3418, 16347, 14491, 20573, 1619, 263, 1691, 17903, 16347, 14491, 20573, 1619, 263, 1428, 17903, 16347, 14491, 20573, 1619, 263, 280, 17903, 16347, 14491, 20573, 1619, 263, 2918, 17903, 16347, 14491, 20573, 1619, 263, 276, 17903, 16347, 14491, 20573, 1619, 263, 272, 264, 10142, 258, 476, 274, 269, 29030, 505, 486, 423, 510, 357, 1477, 16347, 2593, 335, 850, 10857, 1601, 8782, 332, 572, 3299, 5688, 6500, 8782, 611, 600, 3299, 14573, 284, 9131, 3147, 5596, 11172, 3418, 16347, 32265, 3287, 17601, 267, 586, 17601, 267, 22184, 338, 284, 1911, 267, 16801, 15481, 284, 272, 267, 1477, 16875, 15418, 12774, 14352, 343, 26371, 267, 586, 26371, 17903, 29754, 267, 934, 815, 2203, 4318, 1998, 10663, 3287, 15305, 267, 586, 15305, 267, 16801, 15481, 284, 274, 3418, 2745, 2891, 3147, 281, 14307, 934, 10142, 258, 476, 275, 269, 29030, 493, 487, 32174, 478, 14091, 364, 493, 10563, 502, 486, 424, 372, 350, 1477, 344, 7272, 9438, 815, 2203, 4877, 9438, 3287, 15305, 3418, 2745, 12169, 7272, 9438, 10142, 258, 29030, 493, 487, 32174, 478, 1477, 258, 681, 5960, 292, 21844, 369, 361, 17432, 502, 422, 372, 364, 1477, 5228, 28189, 269, 5471, 7879, 1104, 1611, 5334, 32464, 318, 19587, 1477, 5228, 28189, 269, 5471, 7879, 1104, 678, 273, 23962, 1477, 3698, 681, 5960, 292, 12169, 15305, 267, 586, 7272, 9438, 8029, 825, 2132, 5286, 28460, 263, 11743, 5334, 32464, 318, 19587, 12169, 15305, 267, 586, 7272, 9438, 17903, 2745, 2891, 305, 5960, 292, 2433, 14307, 681, 5960, 292, 12169, 15305, 267, 586, 7272, 9438, 17903, 337, 273, 14729, 7272, 9438, 815, 678, 273, 23962, 12169, 15305, 267, 586, 7272, 9438, 3418, 2745, 2891, 305, 273, 567, 2433, 14307, 678, 273, 14729, 7272, 9438, 3418, 258, 2203, 27904, 4424, 14052, 18257, 1477, 2562, 293, 815, 10563, 499, 490, 424, 486, 502, 10563, 501, 484, 14602, 490, 1477, 6358, 318, 27729, 815, 263, 272, 267, 2562, 293, 3418, 6358, 318, 27729, 815, 263, 29306, 368, 267, 425, 500, 487, 10142, 12921, 16753, 815, 10563, 502, 505, 423, 480, 510, 14091, 359, 357, 423, 491, 372, 1477, 305, 5960, 292, 815, 17848, 263, 5960, 292, 3418, 5960, 292, 815, 29030, 493, 487, 422, 371, 510, 10563, 510, 506, 422, 367, 365, 567, 10563, 502, 353, 424, 364, 357, 10563, 501, 494, 423, 509, 361, 1477, 7246, 292, 815, 29030, 493, 487, 422, 371, 510, 10563, 510, 486, 423, 490, 478, 32174, 496, 10563, 502, 353, 424, 364, 357, 10563, 501, 494, 423, 509, 361, 5897, 343, 17601, 2073, 586, 17601, 11434, 476, 272, 269, 29030, 505, 486, 423, 510, 357, 423, 491, 364, 27338, 425, 482, 364, 1477, 343, 26371, 567, 2073, 586, 26371, 1363, 476, 273, 269, 21844, 372, 364, 422, 367, 482, 21844, 366, 478, 424, 355, 507, 1477, 343, 15305, 476, 2073, 586, 15305, 1038, 476, 274, 269, 10563, 480, 361, 423, 508, 490, 21844, 366, 478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 2154, 1932, 1454, 2219, 543, 13292, 519, 2511, 540, 1142, 6345, 269, 1703, 568, 1100, 1318, 610, 4636, 2626, 950, 621, 2501, 547, 875, 513, 3490, 1058, 581, 1305, 909, 267, 607, 1279, 607, 1142, 6345, 666, 11886, 741, 11645, 607, 513, 1483, 31485, 543, 2263, 519, 14925, 538, 3406, 540, 10475, 6886, 543, 9490, 1007, 10785, 269, 11048, 267, 621, 1281, 711, 10413, 547, 6582, 3388, 538, 16517, 2370, 9343, 267, 1317, 513, 16517, 1753, 3490, 568, 513, 6126, 1753, 3490, 563, 288, 1598, 821, 518, 568, 2139, 593, 7193, 267, 13662, 275, 267, 22732, 543, 2473, 7901, 2290, 269, 0, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 27933, 560, 782, 519, 804, 600, 528, 1472, 519, 1158, 19430, 676, 519, 24861, 14430, 267, 972, 729, 835, 2197, 602, 8604, 547, 1205, 7864, 19528, 982, 1022, 824, 563, 293, 4932, 3201, 292, 2910, 305, 305, 2464, 303, 31631, 7728, 281, 4208, 10093, 1406, 649, 2938, 1022, 2462, 1977, 4408, 888, 293, 4932, 3201, 292, 2910, 305, 305, 2464, 303, 31631, 7728, 281, 634, 1977, 1004, 5749, 1406, 6158, 513, 1390, 4308, 827, 519, 24861, 14430, 538, 851, 1317, 1100, 4892, 723, 1044, 3957, 2943, 563, 300, 3201, 292, 2910, 305, 305, 2464, 303, 31631, 7728, 281, 7102, 1164, 9043, 4892, 538, 891, 6054, 888, 32602, 281, 3502, 2943, 267, 711, 2943, 269, 2334, 267, 602, 814, 1044, 1713, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 1809, 972, 781, 1100, 27102, 602, 519, 2475, 1185, 513, 1688, 538, 8380, 24861, 593, 519, 2619, 547, 12948, 1102, 18081, 563, 314, 300, 4785, 2975, 24505, 1299, 6167, 29308, 2639, 2791, 1522, 2161, 602, 621, 3576, 606, 2769, 8905, 998, 519, 24861, 22575, 269, 634, 1650, 5956, 538, 519, 476, 6642, 271, 338, 267, 609, 513, 1895, 540, 3943, 9520, 945, 941, 18761, 593, 20857, 513, 12324, 538, 519, 1287, 4211, 565, 4861, 1014, 11662, 540, 24861, 269, 898, 5932, 513, 9568, 267, 5631, 1317, 621, 14543, 547, 946, 519, 7404, 16749, 547, 4894, 519, 13897, 267, 865, 602, 950, 519, 4764, 2501, 519, 25985, 3984, 14686, 726, 8046, 540, 7786, 269, 25569, 338, 5884, 538, 16095, 16435, 1938, 267, 5215, 676, 2068, 269, 6736, 476, 1556, 5195, 25653, 543, 5230, 5092, 538, 12227, 267, 519, 1788, 779, 14460, 267, 519, 2754, 22625, 269, 1548, 779, 8338, 267, 922, 4579, 23616, 12885, 602, 1022, 7221, 2451, 593, 338, 924, 556, 3200, 1394, 547, 21896, 538, 476, 5002, 275, 269, 9373, 23413, 11276, 17619, 538, 476, 5002, 273, 267, 544, 1638, 532, 519, 4070, 540, 513, 2475, 12324, 538, 2901, 21896, 610, 12832, 31804, 7699, 269, 3767, 1346, 3943, 23265, 609, 741, 1977, 4891, 1294, 513, 4960, 547, 5150, 513, 1517, 730, 2628, 1485, 563, 296, 3580, 1577, 3143, 601, 8575, 25033, 267, 1071, 27236, 540, 519, 1433, 267, 634, 8262, 667, 3558, 281, 1215, 3013, 570, 809, 267, 29740, 267, 28234, 267, 543, 11086, 717, 1511, 589, 3118, 519, 24861, 22575, 267, 4584, 909, 519, 1650, 689, 972, 563, 17472, 5085, 10790, 7838, 2207, 281, 1924, 519, 1101, 3364, 789, 798, 568, 789, 1265, 713, 18560, 3957, 5261, 595, 668, 6202, 267, 10416, 513, 17044, 4368, 518, 689, 27201, 269, 1358, 2285, 1864, 519, 6697, 540, 1269, 272, 269, 274, 2929, 267, 538, 2221, 781, 2724, 267, 547, 9247, 1921, 873, 609, 1977, 14761, 547, 2327, 602, 519, 18322, 1308, 8917, 547, 1628, 519, 12324, 4422, 998, 24861, 543, 602, 789, 786, 1205, 6976, 269, 634, 18322, 1308, 8917, 4422, 998, 267, 855, 519, 18207, 2103, 1810, 1405, 1616, 547, 1118, 513, 4308, 1354, 476, 5002, 275, 1317, 789, 917, 602, 1310, 476, 5002, 275, 602, 1269, 2412, 2929, 568, 2469, 547, 979, 547, 873, 267, 3079, 540, 891, 23265, 538, 713, 22625, 2754, 9361, 538, 5333, 543, 519, 2136, 2276, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 631, 332, 3620, 7825, 563, 17472, 5085, 10790, 7838, 2207, 281, 1924, 789, 6149, 13665, 269, 3973, 513, 3943, 15818, 11912, 1269, 1911, 267, 1822, 2638, 547, 513, 19619, 540, 7754, 16120, 2103, 543, 6645, 873, 547, 17551, 7115, 593, 513, 1978, 4266, 563, 3891, 1287, 10742, 609, 519, 14199, 540, 3557, 540, 519, 2136, 2276, 543, 519, 5518, 910, 713, 568, 513, 3943, 15818, 267, 594, 1616, 547, 1118, 713, 2312, 267, 2324, 585, 513, 4357, 2754, 910, 543, 28279, 873, 602, 519, 4838, 568, 2469, 547, 4755, 593, 713, 4266, 267, 5225, 723, 10617, 4721, 2139, 563, 763, 10617, 4721, 3625, 519, 18207, 2103, 685, 2702, 547, 1065, 816, 519, 18326, 267, 519, 2136, 2276, 17767, 24861, 269, 634, 3943, 15818, 568, 12912, 519, 14579, 10579, 540, 24861, 547, 21907, 513, 14097, 609, 519, 2136, 2276, 547, 1628, 513, 12324, 267, 543, 602, 14097, 814, 519, 910, 827, 782, 519, 5383, 547, 24861, 602, 596, 1131, 2503, 689, 513, 14097, 2854, 896, 1346, 6381, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 24861, 3893, 519, 25340, 2110, 1439, 540, 519, 6529, 888, 17472, 5085, 10790, 7838, 2207, 281, 1924, 519, 14097, 1579, 2314, 24861, 538, 3368, 269, 898, 3947, 519, 2136, 2276, 2407, 19988, 1852, 936, 513, 476, 1015, 28902, 7997, 1472, 519, 12324, 269, 1879, 519, 7754, 16120, 2103, 1616, 547, 7947, 621, 267, 519, 14199, 540, 3557, 28279, 873, 602, 568, 1152, 519, 3057, 1149, 543, 519, 2475, 13108, 7863, 873, 689, 513, 18207, 1014, 5368, 341, 5235, 543, 789, 1522, 1616, 547, 556, 29264, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 1656, 594, 917, 602, 972, 568, 513, 8905, 689, 891, 5686, 540, 21308, 547, 519, 3454, 688, 26223, 602, 649, 723, 2221, 267, 855, 621, 6238, 609, 11288, 267, 1318, 888, 17472, 5085, 10790, 7838, 2207, 281, 8786, 267, 865, 621, 6238, 609, 513, 9206, 540, 13418, 269, 1924, 713, 568, 10416, 1141, 606, 1977, 6928, 786, 1201, 25419, 3294, 607, 7754, 16120, 1014, 267, 1256, 1498, 621, 568, 1869, 11262, 676, 4892, 269, 1358, 2057, 519, 18787, 2048, 322, 1021, 789, 2461, 711, 1977, 269, 1358, 1205, 856, 540, 5934, 2914, 720, 6042, 269, 1358, 666, 1205, 16926, 30707, 269, 1411, 666, 2628, 873, 538, 2011, 269, 1411, 666, 2057, 3106, 6042, 543, 24422, 269, 898, 781, 513, 1390, 4308, 269, 1656, 519, 2136, 2276, 4422, 2059, 609, 713, 1317, 519, 2475, 6487, 24861, 568, 3478, 1100, 4324, 689, 519, 12324, 269, 1656, 4376, 602, 789, 666, 798, 547, 948, 4412, 909, 519, 7754, 16120, 1014, 2229, 568, 2469, 547, 2057, 1761, 2042, 609, 519, 12324, 267, 865, 519, 2475, 2229, 568, 9985, 6126, 547, 1413, 519, 824, 1259, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 1924, 519, 7754, 16120, 1014, 2229, 6238, 547, 3895, 3294, 607, 513, 2518, 3454, 10093, 538, 519, 476, 4198, 271, 338, 269, 1656, 267, 15069, 267, 713, 568, 2469, 547, 948, 856, 519, 2475, 1317, 24861, 779, 1044, 513, 2475, 13362, 4346, 2094, 519, 4070, 540, 519, 12324, 269, 9894, 1977, 8492, 543, 519, 2475, 2229, 8362, 1711, 519, 2175, 585, 24861, 547, 1831, 713, 3454, 10093, 267, 2724, 2000, 879, 837, 532, 2588, 18701, 267, 610, 1705, 621, 1175, 2490, 513, 9420, 3750, 888, 17472, 5085, 10790, 7838, 2207, 281, 898, 5828, 513, 9420, 3750, 269, 1411, 3893, 547, 2285, 519, 5491, 547, 513, 18560, 3957, 12832, 565, 27222, 4446, 27451, 320, 945, 2965, 3357, 909, 609, 519, 2856, 269, 1924, 646, 11339, 519, 1101, 4871, 9658, 1097, 4031, 538, 476, 4198, 280, 269, 1261, 814, 519, 2856, 602, 649, 4076, 1044, 1210, 519, 13362, 11014, 267, 649, 723, 606, 11212, 7123, 12948, 1062, 267, 855, 4896, 666, 2322, 2724, 538, 972, 538, 6207, 9658, 1097, 543, 1100, 835, 2479, 786, 917, 945, 789, 616, 269, 634, 12948, 5823, 1175, 1011, 3941, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 1656, 519, 2475, 7140, 513, 9420, 3750, 585, 519, 1482, 2601, 621, 5828, 513, 9420, 3750, 547, 11288, 267, 1317, 621, 6499, 547, 4444, 1055, 7754, 16120, 1014, 1857, 6644, 543, 713, 568, 15028, 547, 24861, 269, 1656, 849, 267, 519, 12324, 3294, 729, 513, 3090, 540, 2475, 1379, 563, 17472, 5085, 10790, 7838, 2207, 281, 634, 12324, 568, 19394, 538, 2804, 2956, 543, 7580, 2956, 1310, 2622, 2782, 4083, 269, 898, 781, 2965, 4742, 513, 2724, 17485, 518, 585, 519, 1977, 2229, 269, 5272, 1977, 2229, 689, 16452, 32457, 593, 2965, 6499, 547, 1205, 7759, 540, 519, 3364, 855, 972, 781, 713, 2462, 32004, 540, 1977, 1857, 6644, 602, 5784, 519, 12324, 607, 513, 3090, 540, 1977, 31449, 602, 649, 588, 1961, 4023, 543, 4009, 267, 543, 594, 993, 844, 7627, 513, 2475, 6845, 1807, 593, 602, 563, 4517, 789, 1810, 1406, 1616, 547, 2285, 621, 1394, 563, 1103, 476, 3422, 275, 267, 972, 616, 891, 29695, 27632, 1824, 267, 1141, 513, 1297, 540, 1004, 616, 7166, 269, 1703, 781, 15246, 1063, 7754, 16120, 1014, 2879, 760, 619, 543, 1977, 7980, 267, 543, 621, 781, 4742, 20833, 1543, 1190, 269, 1656, 693, 602, 1448, 267, 519, 2475, 2229, 2731, 6499, 547, 798, 3388, 621, 666, 547, 3579, 519, 3510, 1524, 538, 24861, 1317, 18864, 6499, 606, 11439, 30925, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 1924, 1577, 779, 7914, 6619, 547, 476, 2735, 274, 269, 2494, 3241, 7439, 773, 8615, 267, 519, 19524, 540, 519, 7754, 16120, 1014, 16470, 17086, 267, 3217, 1379, 543, 646, 10416, 24476, 2724, 561, 879, 837, 532, 269, 1261, 781, 1256, 24574, 1359, 609, 519, 1496, 6369, 308, 294, 9391, 316, 2405, 749, 27713, 3075, 7047, 601, 269, 634, 2475, 2229, 568, 1869, 7432, 513, 9420, 3750, 547, 7754, 16120, 1014, 8492, 685, 811, 28302, 4308, 902, 267, 543, 621, 779, 1185, 7439, 773, 8615, 593, 519, 2628, 2651, 585, 1296, 269, 1924, 1018, 729, 519, 31835, 781, 1719, 538, 1864, 602, 789, 1223, 1413, 2250, 519, 2405, 749, 514, 888, 17472, 5085, 10790, 7838, 2207, 281, 634, 9995, 21442, 553, 538, 12832, 31804, 7699, 941, 4881, 22342, 13485, 24648, 958, 693, 20999, 5794, 10414, 12476, 267, 941, 1187, 6773, 532, 5458, 5666, 540, 2724, 547, 519, 2552, 6652, 998, 24861, 267, 543, 7439, 773, 8615, 568, 2965, 1256, 10647, 1071, 3200, 4238, 3330, 12832, 31804, 7699, 593, 15773, 540, 519, 2136, 2276, 269, 7754, 16120, 1014, 8069, 2965, 1011, 1712, 23038, 538, 519, 9995, 21442, 553, 4108, 22071, 538, 476, 2735, 276, 269, 9717, 602, 519, 31144, 7245, 1185, 713, 3364, 827, 519, 9995, 21442, 553, 267, 621, 781, 11212, 3730, 547, 723, 2494, 3241, 7439, 773, 8615, 593, 4580, 4543, 721, 856, 543, 3246, 721, 3954, 6636, 538, 519, 1071, 3200, 2112, 1996, 519, 12832, 31804, 10224, 2229, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 1924, 1946, 1705, 519, 2475, 2490, 1996, 7439, 773, 8615, 538, 476, 2735, 280, 543, 28117, 24861, 888, 17472, 5085, 10790, 7838, 2207, 281, 5221, 7439, 773, 8615, 729, 606, 7329, 3999, 563, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 1496, 6369, 308, 294, 9391, 316, 2334, 15991, 771, 23974, 5809, 519, 2475, 689, 5885, 24455, 563, 17472, 5085, 10790, 7838, 2207, 281, 594, 3858, 855, 7439, 773, 8615, 3592, 22393, 4422, 856, 540, 1010, 1259, 547, 1118, 621, 7543, 585, 519, 2136, 2276, 547, 3136, 5885, 1864, 269, 1924, 1101, 267, 646, 19754, 513, 2797, 18545, 267, 513, 18560, 3957, 18018, 334, 1975, 3385, 1721, 320, 267, 538, 476, 2735, 276, 676, 1232, 777, 23550, 1864, 1247, 646, 779, 1869, 9800, 24121, 289, 4629, 10498, 292, 23834, 4696, 4306, 24535, 281, 7937, 327, 24121, 17472, 5085, 10790, 7838, 2207, 281, 910, 711, 16734, 602, 18018, 334, 1975, 3385, 1721, 320, 814, 4296, 609, 1318, 26310, 1977, 14761, 899, 20908, 572, 4477, 916, 945, 941, 2186, 540, 513, 2370, 14220, 602, 646, 729, 1232, 777, 18469, 269, 1879, 596, 2811, 9561, 27737, 20908, 572, 4477, 916, 267, 596, 4076, 3893, 513, 2797, 1966, 269, 3973, 950, 1776, 4108, 6205, 538, 1010, 2229, 267, 513, 18560, 3957, 6890, 1729, 667, 27927, 267, 15749, 806, 1996, 1864, 646, 1287, 5612, 10654, 338, 6890, 1729, 667, 27927, 269, 1656, 519, 3364, 827, 6890, 1729, 667, 27927, 568, 646, 814, 4296, 609, 519, 9995, 21442, 553, 543, 519, 2475, 15109, 1864, 513, 19797, 1623, 12949, 6500, 267, 855, 2899, 646, 781, 856, 540, 519, 1259, 519, 2475, 1223, 1631, 1491, 856, 7439, 773 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1015, 281, 12829, 7313, 26262, 538, 595, 10030, 692, 1103, 2221, 781, 1158, 267, 5985, 6472, 723, 1831, 5051, 2442, 1813, 547, 741, 13418, 543, 8112, 269, 769, 3301, 1646, 267, 972, 568, 849, 513, 991, 585, 1945, 2147, 910, 5100, 31452, 269, 901, 3184, 786, 1445, 593, 10962, 5100, 31452, 538, 595, 10030, 267, 7234, 875, 789, 666, 581, 1031, 547, 4383, 3965, 14305, 29858, 1247, 9319, 1455, 2152, 971, 607, 3965, 20984, 543, 3880, 1782, 31452, 269, 1284, 786, 2263, 519, 1523, 540, 5100, 31452, 676, 5373, 19320, 1063, 5985, 6472, 543, 6422, 3965, 2359, 780, 4089, 476, 1015, 269, 272, 281, 4985, 547, 25674, 15350, 2353, 6327, 543, 7313, 5793, 5004, 692, 2691, 3384, 3156, 1210, 595, 10030, 267, 5883, 3965, 16924, 998, 31452, 814, 1044, 513, 3044, 2259, 2094, 922, 2038, 2395, 269, 1717, 267, 8261, 3965, 2359, 2501, 609, 1896, 2591, 899, 30534, 547, 1863, 21248, 3965, 630, 332, 25514, 13451, 1070, 5595, 1954, 525, 267, 17034, 2907, 15685, 3965, 7161, 267, 3092, 269, 1452, 2042, 1419, 1291, 547, 18633, 3009, 2623, 543, 2352, 12961, 547, 3950, 1524, 780, 2414, 2232, 891, 4145, 267, 2413, 595, 10030, 12857, 519, 1523, 540, 5100, 31452, 269, 5381, 547, 5985, 6174, 2533, 3246, 10375, 6283, 3681, 1510, 20468, 827, 4492, 267, 18736, 267, 5826, 267, 3092, 1421, 5100, 31452, 6023, 3965, 8850, 267, 6028, 9367, 811, 5059, 593, 6061, 6389, 10391, 4247, 2864, 982, 7231, 609, 1970, 7400, 3877, 780, 4089, 476, 272, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 300, 9394, 6174, 682, 2084, 568, 513, 1920, 2818, 3028, 602, 6212, 593, 519, 682, 2084, 540, 1585, 6174, 7516, 269, 634, 1870, 729, 2919, 547, 3761, 6174, 607, 1134, 607, 772, 974, 3435, 585, 6800, 1369, 519, 5087, 4154, 13272, 28180, 1858, 1858, 563, 11917, 16227, 267, 4208, 9701, 1411, 17292, 16353, 27990, 681, 550, 1023, 1280, 2274, 2084, 589, 27990, 286, 15080, 952, 596, 616, 6236, 882, 20814, 610, 22151, 547, 513, 6216, 20642, 5790, 267, 9549, 681, 1581, 11968, 13353, 11404, 596, 1590, 5431, 602, 14139, 513, 882, 20814, 6174, 568, 1175, 835, 540, 519, 1034, 2500, 8925, 11593, 2139, 585, 3001, 707, 5656, 547, 519, 6216, 20642, 1858, 269, 1879, 882, 20814, 707, 5321, 267, 713, 2022, 786, 6157, 1397, 596, 2188, 1946, 596, 1590, 6430, 585, 16353, 27990, 681, 550, 1023, 563, 2791, 2154, 547, 9395, 523, 607, 1134, 607, 3313, 1524, 952, 596, 2154, 606, 10229, 22742, 17895, 267, 22742, 512, 757, 609, 12449, 267, 610, 3274, 513, 4909, 3349, 1236, 7398, 543, 849, 3382, 269, 1677, 1205, 519, 1360, 1655, 29907, 585, 519, 13362, 267, 1589, 827, 3902, 543, 849, 942, 547, 1820, 269, 2776, 2536, 2406, 267, 621, 779, 4998, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 19932, 1315, 595, 10030, 1315, 12829, 7313, 26262, 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, 1012, 12430, 22953, 7844, 538, 5124, 692, 1103, 713, 1837, 267, 649, 786, 2263, 519, 6388, 540, 513, 5276, 9695, 2203, 538, 5124, 269, 12430, 9695, 568, 513, 24892, 1565, 5690, 1031, 585, 17782, 513, 6024, 6364, 4756, 630, 10193, 1634, 607, 513, 8200, 4756, 264, 1759, 593, 835, 610, 811, 27667, 4632, 630, 10193, 1634, 607, 4830, 4632, 6393, 2162, 4578, 19087, 692, 6524, 649, 2253, 267, 1577, 781, 3888, 543, 1104, 519, 2556, 8021, 1384, 3499, 7090, 454, 256, 26921, 3888, 11885, 21267, 454, 7884, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 2171, 786, 1376, 676, 10451, 930, 20533, 1239, 585, 938, 5276, 9695, 2203, 269, 1284, 786, 946, 519, 2387, 13678, 5091, 520, 272, 319, 1599, 547, 5352, 938, 1239, 269, 901, 1599, 3217, 538, 1079, 6724, 281, 2387, 333, 319, 543, 2387, 15883, 18269, 634, 2387, 333, 319, 9936, 568, 519, 1297, 540, 7422, 649, 1616, 547, 5352, 267, 543, 519, 2387, 15883, 319, 9936, 568, 513, 1592, 540, 14170, 585, 938, 27667, 4632, 780, 2080, 568, 519, 3009, 585, 519, 2387, 13678, 5091, 520, 272, 319, 1599, 1384, 3499, 7090, 454, 3698, 1138, 5091, 520, 272, 3799, 815, 476, 1911, 267, 12498, 815, 1496, 274, 267, 476, 273, 267, 476, 272, 316, 2187, 476, 5286, 20179, 269, 23092, 263, 272, 2020, 476, 1535, 271, 815, 5286, 269, 2158, 3799, 1040, 31412, 9230, 333, 267, 476, 272, 4917, 476, 1535, 272, 815, 5286, 20179, 269, 7538, 10857, 665, 815, 476, 271, 267, 4336, 815, 476, 273, 267, 2450, 815, 562, 1040, 31412, 9230, 333, 267, 476, 272, 4917, 476, 1535, 273, 815, 5286, 269, 9795, 18828, 20179, 269, 7538, 10857, 665, 815, 476, 271, 267, 4336, 815, 476, 272, 267, 2450, 815, 562, 26895, 31412, 9230, 333, 267, 476, 272, 11723, 476, 2473, 815, 5286, 26769, 13906, 523, 622, 9230, 343, 271, 267, 1535, 272, 267, 1535, 273, 1070, 476, 272, 2020, 476, 536, 815, 5286, 15126, 6357, 9508, 1040, 31412, 9230, 274, 267, 476, 272, 4917, 476, 5470, 815, 5286, 20179, 269, 7538, 263, 29173, 815, 476, 273, 267, 2450, 815, 562, 1040, 31412, 9230, 333, 267, 476, 272, 11723, 476, 586, 815, 2473, 31715, 6357, 264, 1341, 5470, 692, 476, 2132, 12169, 267, 2473, 994, 7884, 4131, 781, 2736, 1524, 1018, 713, 1599, 1281, 1384, 272, 269, 1284, 1101, 1305, 519, 6079, 585, 519, 4351, 1297, 11718, 1210, 2387, 12639, 20179, 269, 23092, 263, 272, 264, 18269, 901, 5849, 602, 649, 1205, 519, 1482, 4351, 2338, 1169, 942, 649, 2196, 519, 1599, 563, 273, 269, 1284, 1711, 1614, 27667, 4632, 281, 2387, 343, 271, 12452, 2387, 343, 272, 12452, 543, 2387, 343, 273, 18269, 2387, 343, 271, 319, 568, 513, 6152, 540, 3283, 267, 799, 4564, 519, 18448, 2165, 538, 938, 5276, 9695, 2203, 269, 2387, 343, 272, 319, 543, 2387, 343, 273, 319, 616, 4351, 4632, 6383, 689, 513, 3339, 3892, 609, 513, 1611, 540, 476, 271, 543, 3044, 24017, 540, 476, 273, 543, 476, 272, 267, 6606, 563, 274, 269, 1284, 6677, 22760, 622, 2387, 343, 271, 12452, 2387, 343, 272, 12452, 543, 2387, 343, 273, 319, 883, 513, 5119, 2387, 311, 319, 563, 275, 269, 1284, 1711, 513, 6152, 2387, 321, 319, 540, 519, 14170, 585, 938, 27667, 4632, 563, 276, 269, 1284, 5352, 4351, 6959, 689, 513, 3339, 3892, 609, 513, 3044, 11539, 540, 476, 273, 543, 1039, 873, 547, 938, 10567, 2418, 547, 1711, 938, 8200, 4756, 2387, 344, 319, 563, 277, 269, 1284, 2132, 2387, 344, 319, 543, 2387, 311, 27471, 2162, 7844, 674, 9231, 692, 3086, 602, 649, 723, 938, 1239, 267, 649, 666, 3514, 938, 5276, 9695, 2203, 269, 1284, 786, 946, 519, 2387, 299, 300, 319, 1362, 547, 3514, 938, 2203, 269, 901, 1362, 3217, 538, 1079, 6724, 281, 2387, 344, 319, 543, 2387, 311, 18269, 634, 2387, 344, 319, 9936, 568, 938, 8200, 4756, 267, 543, 519, 2387, 311, 319, 9936, 568, 938, 5119, 540, 27667, 4632, 780, 2080, 568, 519, 3009, 585, 519, 2387, 299, 300, 319, 1362, 1384, 3499, 7090, 454, 5035, 30838, 912, 476, 1219, 6449, 8181, 9191, 1345, 267, 586, 267, 2473, 2187, 825, 1582, 13885, 815, 586, 454, 825, 1582, 269, 311, 815, 2473, 454, 825, 1582, 8542, 267, 1582, 4877, 815, 1582, 269, 311, 17482, 454, 825, 1582, 269, 311, 5091, 574, 815, 1582, 269, 311, 17482, 314, 272, 6540, 825, 1582, 269, 311, 318, 8663, 815, 5286, 32557, 4311, 269, 311, 267, 7852, 815, 476, 271, 994, 825, 1582, 13885, 318, 8663, 815, 5286, 32557, 4311, 13885, 2020, 825, 1582, 269, 311, 6831, 815, 1582, 269, 311, 910, 5286, 6745, 850, 4311, 269, 311, 318, 8663, 267, 630, 1345, 8542, 267, 476, 272, 4917, 825, 1582, 13885, 6831, 815, 1582, 13885, 910, 5286, 6745, 850, 4311, 13885, 318, 8663, 267, 630, 1345, 8542, 267, 476, 272, 11723, 825, 1582, 12500, 9508, 815, 5286, 7456, 1400, 326, 23357, 341, 4311, 269, 311, 6831, 11053, 31715, 4311, 269, 311, 6831, 26895, 25346, 4311, 269, 311, 6831, 11053, 1040, 25346, 4311, 13885, 6831, 2020, 825, 1582, 13885, 318, 1002, 815, 1582, 269, 311, 31715, 4311, 12500, 9508, 2020, 825, 1582, 269, 637, 573, 783, 338, 815, 1582, 13885, 910, 1582, 13885, 318, 1002, 692, 825, 1582, 4732, 7950, 318, 1002, 5334, 336, 815, 5286, 27904, 4311, 269, 637, 573, 783, 338, 1262, 273, 264, 1315, 630, 1345, 8542, 910, 1582, 4877, 2020, 825, 1582, 269, 572, 815, 5286, 28460, 18828, 6155, 328, 698, 4311, 4732, 7950, 318, 1002, 5334, 336, 2608, 5286, 7456, 1400, 326, 23357, 341, 4311, 269, 311, 11053, 31715, 4311, 269, 311, 4297, 11723, 825, 1582, 6745, 14067, 1846, 815, 1582, 12500, 9508, 1315, 1582, 269, 572, 692, 825, 1582, 4877, 28767, 815, 476, 273, 2608, 630, 272, 910, 28135, 6745, 6983, 4206, 18828, 269, 11274, 4311, 6745, 14067, 1846, 1070, 1582, 8542, 910, 1582, 4877, 4917, 7884, 4131, 781, 2736, 1524, 1018, 713, 1362, 1281, 1384, 272, 269, 1284, 3355, 1125, 938, 1362, 609, 2387, 344, 319, 543, 2387, 311, 319, 563, 273, 269, 1284, 5173, 519, 1611, 540, 938, 27667, 4632, 543, 938, 8200, 4756, 563, 274, 269, 1284, 4099, 938, 27667, 4632, 543, 938, 8200, 4756, 676, 18946, 741, 1797, 563, 275, 269, 1284, 5173, 938, 14170, 1210, 519, 4542, 1384, 16465, 315, 1002, 3189, 15883, 348, 815, 630, 311, 317, 307, 2473, 264, 13064, 272, 348, 2473, 317, 307, 586, 454, 9681, 276, 269, 1284, 5173, 938, 10567, 2418, 1210, 519, 4542, 1384, 16465, 315, 1002, 26635, 348, 815, 2473, 1422, 1002, 3189, 15883, 8679, 9681, 277, 269, 1284, 5173, 938, 15895, 338, 1210, 519, 4542, 1384, 16465, 324, 815, 586, 910, 1422, 1002, 26635, 8679, 9681, 278, 269, 1284, 5173, 938, 6059, 13065, 1210, 519, 4542, 1384, 16465, 315, 1002, 3189, 18406, 11892, 273, 815, 1422, 2765, 346, 272, 2410, 333, 1790, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 348, 552, 10983, 317, 273, 454, 9681, 279, 269, 1284, 5173, 519, 3044, 6959, 540, 938, 14170, 1210, 519, 4542, 1384, 16465, 10345, 7268, 1002, 3189, 15883, 16585, 815, 1422, 1002, 3189, 18406, 348, 1422, 6912, 346, 10972, 698, 9230, 311, 317, 307, 2473, 264, 13064, 272, 16585, 8679, 9681, 280, 269, 1284, 5173, 519, 512, 3613, 520, 2524, 585, 938, 14170, 1210, 519, 4542, 1384, 16465, 339, 815, 1422, 2765, 3189, 1002, 3189, 15883, 12453, 10345, 7268, 1002, 3189, 15883, 16585, 8679, 9681, 1015, 269, 1284, 5173, 519, 533, 268, 11161, 585, 938, 14170, 1210, 519, 4542, 1384, 16465, 335, 815, 476, 273, 2608, 630, 272, 910, 674, 3709, 339, 3709, 333, 1790, 3686, 263, 347, 339, 347, 4917, 9681, 3602, 1269, 293, 3709, 339, 3709, 333, 1790, 22288, 568, 519, 19469, 3892, 1599, 540, 513, 512, 1673, 626, 9084, 609, 1269, 333, 1790, 259, 5232, 540, 5191, 780, 2162, 7844, 16214, 692, 5629, 649, 723, 3514, 938, 2203, 267, 649, 666, 6218, 922, 2773, 1210, 1585, 14573, 269, 2290, 1455, 11973, 568, 519, 11664, 540, 8990, 267, 849, 1634, 607, 1269, 305, 317, 273, 10608, 634, 1269, 305, 317, 273, 259, 1871, 3800, 519, 8167, 540, 519, 13065, 538, 519, 8200, 4756, 602, 568, 6045, 676, 519, 27667, 4632, 269, 898, 9832, 689, 476, 271, 547, 476, 272, 267, 609, 476, 272, 10834, 513, 3501, 3514, 780, 2080, 568, 519, 3009, 585, 12719, 1269, 305, 317, 273, 259, 1384, 3499, 7090, 454, 3698, 681, 273, 4311, 2187, 476, 9103, 318, 12534, 815, 5286, 27904, 9230, 1345, 13885, 910, 5286, 32557, 4311, 13885, 4297, 1262, 273, 994, 476, 759, 318, 12534, 815, 5286, 27904, 9230, 1345, 13885, 910, 1582, 13885, 318, 1002, 264, 1262, 273, 994, 476, 2132, 476, 272, 910, 759, 318, 12534, 1315, 9103, 318, 12534, 454, 7884, 4131, 781, 2736, 1524, 1018, 713, 1599, 1281, 1384, 272, 269, 1284, 5173, 519, 2698, 13065, 538, 938, 8200, 4756, 1210, 519, 4542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 968, 333, 984, 1328, 7536, 1038, 910, 22417, 7857, 547, 834, 15893, 32002, 257, 13872, 1038, 910, 17179, 7711, 4785, 2207, 454, 1038, 910, 17179, 8743, 518, 454, 1038, 910, 17179, 2027, 3197, 454, 1038, 910, 13722, 1449, 692, 825, 5153, 476, 275, 281, 17179, 3247, 1913, 454, 825, 5153, 476, 276, 281, 19748, 2006, 1125, 454, 825, 5153, 476, 277, 281, 21541, 270, 11687, 1305, 692, 825, 29185, 825, 1257, 815, 19073, 6185, 1092, 20988, 17338, 5560, 321, 6230, 612, 1137, 26098, 263, 638, 2044, 4297, 2020, 825, 1948, 4032, 6006, 692, 825, 1257, 14277, 12248, 14067, 1442, 19312, 815, 1257, 14277, 32188, 338, 257, 4940, 1952, 569, 10857, 10033, 1535, 281, 7003, 3287, 11723, 825, 1948, 6987, 847, 2582, 1293, 692, 825, 1257, 815, 1257, 314, 3667, 14277, 12248, 14067, 1442, 257, 4940, 529, 514, 8443, 272, 8079, 6540, 825, 1948, 1491, 2258, 566, 883, 2272, 454, 825, 1948, 22417, 7857, 547, 834, 318, 323, 13424, 4840, 825, 1948, 17179, 7711, 4785, 2207, 454, 825, 1948, 17179, 27033, 1712, 3390, 454, 825, 1948, 17179, 8743, 518, 454, 825, 1948, 17179, 782, 519, 2027, 3197, 454, 825, 1948, 4894, 782, 2582, 3197, 454, 825, 1948, 17179, 962, 320, 454, 825, 1948, 17179, 19682, 454, 825, 1948, 4894, 536, 339, 322, 454, 825, 1257, 14277, 7853, 4671, 4920, 845, 19312, 815, 1257, 14277, 7853, 257, 4940, 516, 2897, 18692, 1038, 556, 613, 343, 284, 19127, 2018, 678, 257, 315, 16818, 5847, 315, 321, 9899, 834, 10864, 32002, 5332, 5847, 20350, 2018, 678, 257, 315, 321, 7224, 315, 321, 9899, 834, 10864, 32002, 5332, 334, 20350, 2018, 678, 257, 315, 16818, 821, 315, 321, 9899, 834, 10864, 32002, 5332, 821, 20350, 2018, 678, 257, 315, 321, 928, 2416, 315, 321, 9899, 834, 10864, 32002, 318, 928, 2416, 20350, 2018, 678, 257, 315, 321, 6866, 315, 321, 9899, 834, 10864, 32002, 318, 6866, 20350, 2018, 678, 257, 315, 16818, 984, 1328, 315, 321, 9899, 834, 10864, 32002, 5332, 984, 1328, 20350, 2018, 678, 257, 315, 323, 266, 9899, 834, 15893, 32002, 834, 2676, 2018, 678, 257, 8443, 287, 286, 8079, 7268, 342, 266, 9385, 321, 9899, 834, 12528, 20350, 2018, 678, 257, 315, 321, 261, 258, 315, 321, 9899, 834, 834, 2676, 2018, 678, 257, 314, 259, 6012, 288, 19053, 320, 22271, 6012, 315, 306, 30297, 9899, 834, 20350, 2018, 678, 257, 315, 310, 9899, 834, 834, 2676, 2018, 678, 257, 315, 338, 266, 314, 320, 22271, 288, 19053, 316, 315, 338, 266, 9899, 834, 834, 2676, 2018, 678, 257, 315, 317, 314, 320, 22271, 288, 19053, 316, 315, 338, 266, 9899, 834, 834, 2676, 2018, 678, 257, 315, 338, 266, 9899, 834, 834, 2676, 2018, 678, 257, 317, 321, 315, 338, 266, 9899, 834, 20350, 2018, 678, 257, 315, 2421, 320, 315, 321, 9899, 834, 20350, 2018, 678, 257, 315, 321, 4226, 8314, 315, 321, 9899, 834, 20350, 2018, 678, 257, 315, 321, 30531, 8314, 315, 321, 9899, 834, 20350, 2018, 678, 257, 315, 6277, 339, 322, 315, 321, 9899, 834, 20350, 1038, 7684, 454, 825, 12467, 825, 1948, 13722, 692, 825, 1257, 14277, 7853, 4671, 4920, 845, 19312, 815, 1257, 14277, 7853, 4671, 4920, 845, 257, 4940, 1598, 31573, 10797, 825, 1948, 17179, 3247, 1913, 692, 825, 3247, 815, 3247, 6919, 269, 6919, 3488, 1263, 1501, 17210, 825, 1257, 14277, 7853, 4671, 4920, 845, 19312, 815, 1257, 14277, 7853, 4671, 4920, 845, 257, 4940, 1952, 569, 18692, 1038, 25754, 1535, 281, 1412, 29717, 21860, 8443, 5320, 585, 2262, 538, 1535, 21858, 3890, 952, 2262, 711, 538, 630, 17380, 264, 8079, 2020, 825, 1948, 19748, 3901, 1125, 692, 825, 19790, 3901, 6500, 815, 6478, 15187, 299, 655, 3901, 6500, 4590, 825, 530, 4671, 7505, 6500, 815, 562, 2741, 330, 6745, 7505, 1125, 269, 2662, 2572, 10628, 307, 7505, 6500, 10797, 825, 1257, 14277, 7853, 4671, 4920, 845, 19312, 815, 1257, 14277, 7853, 4671, 4920, 845, 257, 4940, 1952, 569, 18692, 1038, 25754, 1535, 281, 834, 834, 269, 21860, 8443, 12661, 3901, 6500, 269, 12661, 3901, 1125, 26028, 994, 23351, 585, 530, 538, 530, 4671, 7505, 6500, 6745, 7505, 1125, 3287, 264, 7481, 825, 25589, 825, 1948, 590, 5902, 519, 10471, 692, 825, 2473, 318, 815, 1257, 14277, 7853, 4671, 4920, 845, 31116, 825, 586, 318, 815, 1257, 14277, 338, 550, 2939, 318, 257, 6540, 825, 1293, 318, 815, 1257, 3052, 4981, 2421, 2891, 338, 550, 2939, 8442, 14277, 338, 550, 2939, 257, 4940, 12248, 10797, 825, 1820, 2891, 763, 3337, 540, 519, 1239, 568, 2715, 9574, 543, 15079, 2668, 8971, 29495, 17482, 267, 1293, 318, 11723, 825, 952, 547, 17601, 912, 1038, 2473, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 18692, 2018, 2473, 318, 267, 586, 318, 267, 1449, 15481, 284, 271, 269, 272, 267, 4351, 26077, 284, 271, 454, 1038, 25589, 1038, 2132, 2473, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 692, 825, 3116, 1384, 1038, 2132, 2473, 318, 7531, 258, 1948, 2776, 14083, 2079, 454, 258, 3097, 258, 5269, 5618, 13602, 540, 519, 4908, 1293, 267, 3892, 540, 17161, 676, 18941, 543, 2462, 2449, 4908, 692, 258, 769, 314, 9948, 1384, 454, 5228, 562, 2741, 330, 6745, 7505, 1125, 1104, 2262, 4671, 7505, 1125, 454, 5228, 562, 2741, 330, 269, 22238, 1464, 1104, 6154, 336, 18850, 454, 5814, 21267, 28272, 607, 12301, 7531, 258, 769, 314, 9948, 1384, 454, 743, 1304, 815, 15216, 334, 5141, 1304, 3488, 29985, 10676, 3299, 476, 17734, 1704, 2020, 2162, 1849, 1304, 568, 519, 6538, 454, 27219, 815, 7817, 9131, 1805, 1442, 23562, 527, 12218, 6200, 262, 6540, 454, 258, 769, 314, 9948, 1384, 454, 638, 2044, 815, 19127, 825, 834, 338, 550, 2939, 9899, 346, 834, 259, 928, 9899, 834, 10468, 23018, 257, 7684, 454, 8679, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 1558, 520, 4920, 4146, 263, 743, 1304, 267, 24563, 2676, 825, 13214, 815, 13214, 9239, 258, 7151, 540, 5048, 692, 258, 769, 314, 9948, 1384, 454, 311, 17601, 269, 559, 665, 314, 271, 6540, 454, 258, 769, 314, 9948, 1384, 454, 344, 17601, 269, 559, 665, 314, 271, 6540, 454, 258, 13329, 9323, 2733, 5406, 538, 519, 5721, 1305, 269, 4400, 569, 796, 29446, 692, 258, 769, 314, 9948, 1384, 454, 344, 17601, 269, 637, 564, 16229, 14061, 16766, 2421, 3488, 338, 550, 2939, 318, 10807, 9131, 338, 550, 2939, 318, 262, 4940, 12248, 30800, 258, 769, 314, 9948, 1384, 454, 17504, 4671, 7505, 1125, 815, 2473, 17601, 269, 1952, 569, 27182, 4671, 7505, 1125, 264, 3097, 2162, 10261, 547, 24609, 519, 1592, 454, 29788, 1084, 539, 8217, 815, 1496, 344, 585, 1535, 538, 6478, 4671, 7505, 1125, 6745, 565, 626, 3890, 585, 586, 538, 1535, 2639, 325, 23251, 815, 6154, 336, 18850, 263, 29788, 1084, 539, 8217, 994, 325, 23251, 19502, 263, 1789, 22698, 636, 11494, 25716, 994, 10823, 20481, 30800, 258, 769, 314, 9948, 1384, 454, 3698, 4729, 318, 4486, 5320, 5334, 550, 2939, 29254, 267, 562, 321, 7659, 5320, 284, 476, 1015, 2187, 825, 8173, 825, 18140, 519, 3892, 540, 27742, 676, 20438, 454, 825, 8173, 8931, 825, 17093, 6958, 23251, 815, 19073, 6185, 1092, 20988, 269, 5228, 18380, 29254, 267, 7259, 8782, 8161, 5073, 825, 17093, 6958, 23251, 31815, 8435, 815, 18358, 293, 15968, 23300, 825, 17093, 6958, 23251, 28827, 20508, 815, 1412, 28350, 7055, 825, 17093, 6958, 23251, 815, 4206, 6958, 23251, 31699, 28767, 263, 2421, 815, 1412, 293, 15968, 3299, 26799, 815, 8771, 994, 8931, 825, 12693, 3097, 8931, 825, 17093, 4671, 641, 5334, 550, 815, 19073, 6185, 1092, 20988, 4590, 825, 585, 1883, 538, 17093, 6958, 23251, 23584, 3799, 321, 7659, 5320, 1040, 8161, 1384, 1038, 1293, 5334, 550, 2939, 815, 27210, 2018, 19073, 26769, 13906, 8443, 311, 17601, 314, 311, 17601, 269, 1598, 26769, 13935, 31107, 13580, 2676, 4449, 17264, 586, 17601, 3910, 7852, 815, 476, 272, 267, 6443, 815, 1412, 27903, 5073, 2018, 1547, 16766, 2421, 3488, 338, 550, 2939, 318, 10807, 9131, 7853, 4671, 4920, 845, 23300, 2018, 1547, 12248, 4590, 2018, 1547, 637, 564, 16229, 4590, 1038, 12467, 1038, 1293, 5334, 550, 2939, 9131, 4486, 5320, 11172, 815, 1883, 454, 1038, 17093, 4671, 641, 5334, 550, 815, 17093, 4671, 641, 5334, 550, 6910, 6262, 870, 5334, 550, 2939, 994, 825, 17093, 4671, 641, 5334, 550, 815, 17093, 4671, 641, 5334, 550, 4877, 643, 582, 263, 8161, 8782, 4486, 5320, 22779, 4449, 476, 9587, 8782, 338, 550, 2939, 318, 22779, 4449, 476, 2418, 8782, 7853, 4671, 4920, 845, 5073, 825, 17093, 4671, 641, 5334, 550, 9131, 8999, 11172, 815, 17093, 4671, 641, 5334, 550, 269, 1952, 569, 10857, 10033, 1535, 281, 1535, 27904, 19572, 7852, 815, 476, 272, 994, 825, 17093, 4671, 641, 5334, 550, 31699, 28767, 263, 2421, 815, 1412, 8999, 262, 1040, 17840, 263, 3712, 8435, 815, 1412, 8999, 262, 1040, 7120, 269, 8663, 327, 263, 560, 17977, 18989, 9239, 258, 769, 314, 9948, 1384, 454, 7120, 318, 4486, 5320, 5334, 550, 2939, 29254, 815, 535, 23251, 267, 562, 321, 7659, 5320, 284, 476, 1015, 9239, 258, 12361, 8262, 2449, 454, 258, 3097, 258, 4347, 8181, 11481, 2115, 547, 2973, 811, 519, 24402, 269, 780, 258, 769, 314, 9948, 1384, 454, 321, 7714, 815, 562, 2741, 330, 269, 978, 2449, 263, 29788, 1084, 539, 8217, 267, 476, 273, 2020, 325, 23251, 815, 562, 2741, 330, 12171, 516, 336, 18850, 6357, 7714, 2020, 325, 23251, 19502, 263, 1789, 22698, 636, 11494, 25716, 994, 10823, 20481, 30800, 258, 1948, 700, 273, 13979, 692, 258, 769, 314, 9948, 1384, 454, 299, 273, 815, 19073, 18667, 32269, 3488, 10674, 2517, 4178, 269, 628, 5557, 268, 1066, 5435, 2593, 15828, 273, 318, 2716, 6625, 27406, 22779, 19930, 694, 335, 815, 834, 282, 5602, 299, 273, 23584, 263, 274, 9239, 258, 769, 314, 9948, 1384, 454, 4289, 29223, 815, 700, 273, 314, 299, 273, 9131, 338, 550, 2939, 262, 4940, 529, 514, 8443, 262, 27168, 262, 8079, 6012, 262, 4486, 5320, 262, 4940, 339, 565, 626, 4590, 4289, 318, 10864, 815, 700, 273, 314, 299, 273, 9131, 338, 550, 2939, 262, 4940, 529, 514, 8443, 262, 17463, 262, 8079, 6012, 262, 4486, 5320, 262, 4940, 339, 565, 626, 30800, 258, 769, 314, 9948, 1384, 454, 3698, 18941, 318, 299, 273, 3287, 17107, 825, 8173, 825, 30770, 519, 3328, 18941, 2676, 825, 2016, 513, 1592, 700, 273, 454, 825, 8173, 825, 18941, 815, 476, 271, 454, 825, 1257, 815, 2262, 4671, 7505, 1125, 3287, 994, 825, 585, 1535, 538, 1257, 912, 1038, 952, 1535, 538, 1592, 29223, 912, 2018, 18941, 6834, 476, 272, 454, 1038, 8640, 1535, 538, 1592, 318, 10864, 912, 2018, 18941, 6834, 910, 272, 454, 27030, 825, 2119, 912, 1038, 1285, 326, 5334, 550, 2939, 815, 18941, 1315, 7003, 29495, 994, 825, 4849, 912, 1038, 1285, 326, 5334, 550, 2939, 815, 476, 271, 454, 27030, 825, 2132, 1285, 326, 5334, 550, 2939, 7531, 258, 7151, 540, 5048, 692, 258, 769, 314, 9948, 1384, 454, 311, 17601, 269, 559, 665, 314, 271, 6540, 454, 258, 634, 700, 273, 20750, 6625, 7157, 9286, 621, 607, 19594, 880, 692, 258, 769, 314, 9948, 1384, 454, 338, 550, 2939, 318, 299, 273, 3287, 815, 2473, 17601, 269, 559, 665, 314, 271, 316, 9239, 258, 17136, 609, 519, 476, 271, 267, 19665, 607, 7703, 880, 269, 634, 19345, 24402, 1281, 711, 476, 1911, 260, 6474, 519, 700, 273, 20750, 6625, 269, 1280, 3236, 267, 1930, 519, 2034, 5048, 538, 519, 1449, 1305, 269, 8528, 258, 769, 314, 9948, 1384, 454, 311, 15305, 269, 559, 665, 314, 272, 6540, 454, 258, 1703, 568, 1100, 2387, 326, 582, 319, 538, 519, 20750, 6625, 269, 8528, 258, 769, 314, 9948, 1384, 454, 344, 28177, 815, 2473, 15305, 269, 1952, 569, 4433, 550, 2939, 318, 299, 273, 994, 344, 28177, 23584, 30800, 258, 17179, 796, 5035, 1881, 6835, 8528, 258, 769, 314, 9948, 1384, 454, 344, 28177, 815, 586, 28177, 314, 344, 28177, 11203, 271, 2639, 344, 28177, 17482, 7531, 258, 769, 314, 9948, 1384, 454, 344, 28177, 318, 815, 5286, 269, 3602, 12169, 28177, 3436, 476, 271, 267, 476, 272, 267, 910, 272, 994, 2745, 263, 5471, 7879, 269, 5035, 2305, 23631, 1636, 12169, 15305, 314, 344, 15305, 28827, 18994, 514, 12169, 28177, 28827, 13580, 2676, 4449, 7386, 586, 28177, 318, 264, 9239, 258, 769, 314, 9948, 1384, 454, 5471, 7879, 269, 20813, 4288, 24624, 12169, 15305, 314, 344, 15305, 28827, 18994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1691, 267, 476, 1220, 280, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 22375, 540, 519, 12057, 540, 11908, 30418, 2806, 16223, 1794, 807, 543, 3162, 744, 1087, 564, 807, 13026, 11182, 267, 4864, 476, 2764, 267, 476, 1220, 279, 563, 268, 2806, 16223, 1794, 807, 267, 590, 20166, 1087, 564, 807, 4813, 958, 13207, 1563, 20431, 1221, 24540, 269, 6406, 11908, 269, 4864, 476, 2764, 267, 476, 1220, 279, 454, 268, 834, 307, 24642, 880, 20971, 543, 11780, 4425, 1682, 538, 2806, 16223, 1794, 807, 2668, 21741, 3121, 18225, 2296, 269, 476, 1001, 272, 268, 6860, 268, 4905, 269, 8158, 476, 1001, 273, 268, 6187, 268, 1015, 563, 268, 1412, 290, 14072, 30510, 630, 2958, 542, 543, 10239, 267, 20195, 14901, 264, 8339, 2037, 9871, 19508, 29953, 27429, 267, 476, 1001, 271, 281, 834, 30999, 1575, 3539, 10199, 476, 10204, 267, 1822, 13483, 11465, 630, 24496, 267, 1822, 13483, 5998, 1070, 621, 568, 5258, 1851, 6576, 267, 11908, 267, 29494, 13568, 267, 543, 18433, 807, 543, 3029, 851, 540, 519, 2757, 12270, 1899, 1063, 2342, 543, 5607, 269, 898, 568, 20312, 624, 539, 676, 519, 24272, 30510, 15142, 282, 519, 1858, 5087, 540, 519, 20523, 24272, 30510, 2039, 568, 1572, 595, 4593, 14072, 14901, 543, 519, 3148, 547, 519, 5045, 3690, 322, 14072, 14901, 269, 769, 4725, 1243, 689, 3504, 2053, 267, 621, 729, 896, 22194, 14655, 543, 15349, 647, 10045, 664, 1399, 2394, 22482, 676, 6576, 538, 519, 476, 1240, 628, 1700, 866, 628, 5553, 4799, 268, 834, 290, 2464, 310, 310, 1107, 9502, 540, 6239, 20195, 14901, 2668, 595, 525, 2346, 8807, 553, 269, 9618, 10542, 12975, 269, 8158, 4864, 476, 277, 267, 476, 1001, 271, 563, 268, 834, 10481, 3073, 807, 281, 10481, 2762, 2668, 595, 659, 1532, 1675, 1751, 3820, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 16804, 1372, 611, 3095, 2639, 268, 5130, 476, 278, 267, 476, 1220, 280, 630, 20464, 476, 278, 267, 476, 1220, 280, 1040, 834, 17484, 2438, 15661, 540, 519, 24272, 30510, 2668, 7736, 2438, 6741, 2886, 2275, 14072, 30510, 29335, 269, 8158, 2904, 476, 276, 267, 476, 1220, 280, 563, 268, 834, 290, 14072, 22057, 1975, 11107, 834, 595, 4047, 290, 298, 299, 3041, 4811, 1299, 30684, 306, 2668, 24272, 30510, 1606, 3671, 619, 29335, 269, 8158, 2904, 476, 276, 267, 476, 1220, 280, 563, 268, 715, 12112, 7491, 16194, 341, 8270, 267, 594, 14371, 269, 22373, 293, 3271, 320, 540, 1975, 648, 21277, 1424, 12518, 540, 11908, 630, 23087, 17983, 4940, 476, 31229, 6032, 1421, 570, 321, 18442, 328, 267, 9142, 540, 3163, 540, 519, 9677, 1014, 9399, 305, 267, 476, 2735, 277, 454, 268, 834, 24426, 6975, 745, 742, 548, 781, 7605, 580, 26515, 1107, 17325, 725, 540, 13271, 543, 741, 2404, 7103, 2668, 6880, 339, 745, 742, 548, 3820, 16896, 269, 8158, 5147, 476, 2767, 267, 476, 1001, 272, 563, 268, 31489, 267, 623, 8160, 1421, 2052, 12061, 267, 623, 12171, 1421, 3687, 614, 267, 667, 15030, 269, 543, 853, 531, 11825, 267, 808, 269, 834, 291, 5315, 540, 519, 674, 2426, 328, 2668, 3798, 333, 476, 1015, 269, 595, 5723, 296, 267, 476, 1220, 279, 454, 268, 834, 293, 2426, 328, 540, 11908, 1107, 1761, 1439, 12515, 2668, 6880, 339, 745, 742, 548, 3820, 16896, 269, 8158, 5147, 476, 2767, 267, 476, 1001, 272, 563, 268, 834, 30025, 540, 11908, 1107, 2806, 16223, 1794, 807, 2668, 6554, 10993, 269, 613, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 8802, 687, 543, 11182, 281, 2806, 16223, 1794, 807, 2668, 18917, 5240, 269, 5988, 476, 279, 267, 476, 1001, 272, 563, 268, 834, 8802, 687, 543, 11182, 281, 3162, 744, 1087, 564, 807, 2668, 18917, 5240, 269, 5988, 476, 279, 267, 476, 1001, 272, 563, 268, 834, 10481, 3073, 807, 5940, 12230, 2668, 6465, 6950, 2593, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 14549, 7126, 538, 519, 20431, 1221, 17197, 1559, 540, 11908, 2668, 14642, 576, 3820, 269, 8158, 476, 1001, 273, 268, 1015, 268, 1789, 563, 268, 834, 305, 11701, 10426, 1636, 1436, 2668, 634, 1715, 3840, 8648, 269, 8158, 476, 1001, 273, 268, 1015, 268, 1789, 563, 268, 2806, 16223, 1794, 807, 267, 590, 20166, 1087, 564, 807, 4813, 958, 13207, 1563, 20431, 1221, 24540, 269, 6406, 11908, 269, 4864, 476, 2764, 267, 476, 1220, 279, 563, 268, 834, 8802, 687, 543, 11182, 281, 31828, 7559, 2668, 18917, 5240, 269, 5988, 476, 279, 267, 476, 1001, 272, 563, 268, 834, 10481, 3073, 807, 10741, 1007, 14618, 538, 918, 583, 9820, 328, 267, 2484, 689, 519, 3854, 2668, 6115, 5403, 269, 476, 2918, 2904, 476, 1001, 273, 269, 8158, 476, 2918, 2904, 476, 1001, 273, 16804, 1372, 611, 3095, 2639, 268, 7137, 787, 267, 22118, 333, 630, 20464, 476, 278, 267, 476, 1220, 279, 1040, 834, 10481, 3073, 807, 26064, 281, 13474, 593, 9406, 25397, 2668, 16737, 5240, 269, 8158, 5239, 476, 1704, 267, 476, 1220, 279, 563, 268, 834, 26466, 4520, 538, 519, 2622, 476, 1220, 279, 2668, 15213, 5600, 269, 8158, 5412, 476, 2537, 267, 476, 1001, 272, 16804, 1372, 611, 3095, 2639, 268, 2098, 18054, 808, 724, 1046, 6072, 630, 19751, 476, 1240, 267, 476, 1220, 278, 1040, 4024, 513, 25799, 3933, 8944, 2142, 10163, 1819, 538, 11908, 27085, 11908, 4653, 267, 17136, 1948, 4391, 280, 563, 268, 717, 1640, 22080, 700, 1682, 611, 2763, 630, 20103, 476, 1240, 267, 476, 1220, 278, 1040, 5384, 585, 513, 3751, 585, 11908, 27085, 20195, 14901, 15187, 6406, 5980, 563, 268, 834, 310, 3480, 24319, 2709, 9867, 21520, 593, 519, 2932, 540, 519, 9677, 1014, 16232, 9550, 543, 922, 4539, 2668, 29515, 3115, 7163, 269, 4864, 476, 272, 267, 476, 1220, 279, 269, 8158, 5239, 476, 1704, 267, 476, 1220, 279, 563, 268, 834, 306, 320, 752, 1662, 341, 8270, 1230, 1027, 525, 4347, 324, 520, 538, 12057, 776, 30760, 2580, 6406, 267, 476, 273, 5239, 476, 1001, 273, 454, 268, 834, 10481, 3073, 807, 781, 1857, 1219, 2658, 2668, 744, 3387, 644, 338, 2006, 269, 613, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 21446, 894, 1867, 593, 519, 6388, 676, 11908, 540, 519, 17563, 13482, 585, 519, 10466, 540, 2817, 19724, 885, 538, 519, 3148, 540, 918, 557, 15879, 918, 691, 2993, 1107, 570, 321, 18442, 328, 267, 476, 1220, 279, 1107, 533, 269, 476, 6812, 268, 6795, 257, 630, 14457, 1040, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 4785, 267, 6628, 267, 1289, 585, 16785, 883, 2904, 476, 2918, 2621, 538, 11908, 2668, 5240, 6993, 345, 269, 2904, 476, 2764, 267, 476, 1001, 272, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 24981, 9324, 828, 267, 2342, 543, 6239, 5607, 1244, 14280, 8689, 630, 9802, 476, 2918, 267, 476, 1001, 272, 1040, 834, 10481, 3073, 807, 281, 17318, 13242, 28246, 10414, 593, 13458, 995, 5019, 3949, 1923, 5274, 7126, 13772, 2668, 670, 337, 342, 3820, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 307, 321, 18442, 328, 26302, 781, 5510, 619, 5019, 22246, 20010, 10469, 1132, 585, 681, 958, 2668, 6406, 269, 613, 269, 8158, 476, 1001, 273, 268, 1015, 268, 1789, 563, 268, 631, 3041, 11190, 267, 667, 313, 295, 18853, 313, 26980, 298, 295, 23808, 309, 6579, 296, 630, 2918, 2904, 476, 1001, 272, 1040, 834, 10481, 3073, 1014, 17318, 17166, 476, 273, 918, 2683, 538, 14308, 2598, 11825, 531, 2668, 13235, 5240, 269, 23105, 4964, 269, 8158, 476, 2190, 5412, 476, 1001, 272, 563, 268, 834, 29423, 1470, 267, 11473, 16680, 902, 1955, 12393, 14308, 24285, 547, 1412, 5522, 31857, 20222, 262, 2668, 6406, 269, 613, 269, 8158, 476, 1001, 273, 268, 1015, 268, 1789, 563, 268, 834, 257, 306, 320, 752, 1662, 341, 8270, 814, 10416, 31045, 28983, 1222, 257, 1107, 9677, 1014, 11685, 1107, 21512, 2668, 681, 339, 2593, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 10144, 14897, 538, 11908, 1310, 10795, 29371, 540, 11685, 28487, 2668, 681, 339, 2593, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 19279, 670, 8973, 538, 18293, 543, 8041, 630, 19688, 476, 280, 267, 476, 1220, 280, 1040, 834, 1320, 748, 1343, 5531, 585, 8265, 17600, 1996, 9677, 1014, 7022, 631, 1731, 515, 559, 15223, 752, 1662, 341, 8270, 2668, 634, 26851, 630, 20084, 1040, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 14737, 3588, 540, 14579, 16457, 540, 11908, 1107, 31970, 6243, 540, 772, 2607, 340, 599, 2668, 631, 17304, 10993, 269, 613, 269, 8158, 2904, 476, 276, 267, 476, 1220, 280, 563, 268, 834, 14737, 3588, 540, 14579, 16457, 540, 11908, 1107, 6250, 320, 6176, 585, 14579, 22893, 2668, 631, 17304, 10993, 269, 613, 269, 4989, 476, 1789, 267, 476, 1220, 280, 269, 8158, 2904, 476, 276, 267, 476, 1220, 280, 269, 630, 21026, 9705, 568, 593, 519, 1592, 540, 519, 2477, 4171, 4961, 798, 711, 991, 513, 31705, 547, 4283, 543, 3251, 593, 519, 8513, 540, 11908, 585, 476, 11740, 2395, 994, 268, 834, 14737, 3588, 540, 14579, 333, 16457, 540, 11908, 1107, 9534, 1063, 11908, 543, 519, 3557, 540, 5840, 2668, 544, 17304, 10993, 269, 613, 269, 8158, 4728, 476, 2764, 267, 476, 1001, 271, 563, 268, 834, 14737, 3588, 540, 14579, 16457, 540, 11908, 1107, 14891, 31012, 6243, 540, 16444, 20092, 2668, 631, 17304, 10993, 269, 613, 269, 8158, 2904, 476, 276, 267, 476, 1220, 280, 563, 268, 834, 308, 2529, 269, 7788, 25555, 1715, 13639, 26859, 5358, 585, 11908, 2668, 6406, 269, 10481, 269, 5147, 476, 272, 267, 476, 1220, 272, 269, 8158, 2904, 476, 276, 267, 476, 1220, 280, 563, 268, 834, 10481, 3073, 807, 781, 1259, 547, 24114, 2668, 631, 17304, 10993, 269, 613, 269, 2904, 476, 2767, 267, 476, 1001, 271, 269, 8158, 5437, 476, 273, 267, 476, 1001, 271, 563, 268, 834, 292, 2202, 1923, 17312, 9299, 2478, 9677, 1014, 9111, 2668, 18917, 5240, 269, 2904, 476, 1015, 267, 476, 1220, 276, 269, 8158, 2904, 476, 276, 267, 476, 1220, 280, 563, 268, 17312, 1261, 6758, 547, 2342, 585, 717, 1107, 476, 279, 27169, 267, 634, 1715, 3840, 8648, 454, 268, 9167, 267, 11908, 6178, 13673, 303, 11059, 4643, 267, 6406, 11908, 267, 5239, 476, 273, 267, 476, 1220, 277, 563, 268, 834, 5746, 288, 1107, 634, 2622, 5517, 1504, 2668, 595, 807, 10993, 269, 8158, 5147, 476, 274, 267, 476, 1001, 272, 563, 268, 834, 27770, 291, 1234, 548, 1162, 19672, 593, 9677, 1014, 18858, 3591, 654, 15903, 538, 2904, 476, 1724, 29581, 663, 31105, 2668, 6406, 11908, 269, 2904, 476, 1691, 267, 476, 1001, 274, 269, 8158, 476, 866, 2904, 476, 1001, 274, 563, 268, 834, 10481, 3073, 807, 11766, 532, 476, 16020, 7980, 547, 15787, 2668, 15049, 686, 344, 564, 11545, 5240, 269, 3397, 775, 5333, 6261, 637, 572, 269, 476, 275, 4864, 476, 1001, 271, 269, 8158, 476, 866, 2904, 476, 1001, 274, 563, 268, 834, 289, 3672, 540, 476, 278, 9677, 1014, 22307, 4536, 267, 918, 2683, 538, 15787, 267, 17776, 539, 5851, 2668, 6406, 11908, 269, 4873, 476, 280, 267, 476, 1001, 274, 269, 8158, 4873, 476, 280, 267, 476, 1001, 274, 563, 268, 4460, 31780, 267, 26427, 681, 1342, 518, 1715, 4944, 3639, 269, 834, 293, 3931, 540, 6808, 7128, 3196, 6763, 607, 513, 3090, 540, 4126, 538, 11908, 1923, 5062, 5141, 2255, 344, 2668, 5062, 743, 2255, 11770, 322, 2593, 269, 8158, 476, 1001, 273, 268, 1015, 268, 1789, 563, 268, 834, 10481, 3073, 807, 781, 2817, 17318, 4856, 8306, 5741, 2668, 715, 11266, 269, 476, 1220, 276, 268, 6021, 268, 1428, 269, 8158, 476, 1001, 273, 268, 1015, 268, 1789, 563, 268, 8490, 3354, 538, 519, 6243, 540, 11908, 12448, 853, 15330, 8158, 476, 272, 4873, 476, 1220, 278, 454, 268, 834, 7230, 10225, 676, 5518, 15223, 752, 1662, 341, 8270, 693, 519, 595, 3041, 27169, 538, 570, 321, 18442, 328, 2668, 5518, 540, 11908, 269, 4873, 476, 274, 267, 476, 1220, 276, 269, 8158, 476, 1220, 278, 268, 1321, 268, 2537, 563, 268, 834, 20376, 12053, 18564, 2668, 1977, 21150, 29983, 570, 4565, 27599, 269, 21444, 689, 519, 3312, 593, 476, 1220, 278, 268, 5400, 268, 1428, 269, 8158, 476, 1220, 278, 268, 1321, 268, 2537, 563, 268, 834, 308, 2529, 269, 6052, 6176, 320, 10029, 834, 13328, 10281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4999, 454, 333, 595, 737, 476, 1109, 6748, 737, 815, 476, 274, 267, 630, 1721, 519, 3105, 2165, 1070, 649, 1294, 519, 4276, 1384, 634, 23642, 6706, 14497, 666, 849, 581, 2854, 538, 922, 9450, 1106, 607, 281, 5457, 602, 543, 602, 692, 14300, 1210, 519, 23642, 6706, 14497, 1384, 476, 272, 269, 476, 1109, 22091, 663, 1109, 4586, 4131, 513, 815, 1535, 267, 536, 815, 476, 273, 267, 562, 815, 476, 276, 543, 12990, 269, 1109, 630, 2710, 711, 12990, 513, 1871, 585, 737, 24355, 763, 16595, 543, 1034, 4977, 1259, 547, 5173, 10659, 568, 547, 946, 707, 24275, 9498, 563, 2690, 9498, 948, 267, 1294, 519, 3095, 693, 519, 1439, 540, 519, 2985, 780, 476, 273, 269, 476, 1109, 22091, 663, 1109, 16317, 16100, 5402, 256, 2336, 1607, 666, 581, 513, 16602, 835, 2439, 763, 834, 339, 9581, 257, 4125, 519, 946, 540, 606, 4082, 609, 606, 20800, 607, 519, 834, 320, 257, 1871, 267, 543, 849, 519, 1689, 540, 1129, 1063, 519, 2474, 269, 1109, 1280, 519, 23642, 6706, 14497, 267, 713, 1966, 568, 2965, 16317, 263, 4131, 513, 815, 630, 273, 343, 275, 1070, 536, 815, 11196, 344, 1070, 476, 1109, 333, 815, 476, 274, 543, 12990, 269, 1109, 634, 24324, 616, 513, 834, 332, 755, 723, 257, 26008, 2020, 294, 4599, 707, 9498, 269, 1109, 2142, 2386, 547, 6318, 519, 3003, 24324, 547, 519, 8612, 1379, 543, 4585, 856, 585, 4191, 780, 15531, 513, 3487, 7781, 12910, 538, 513, 23642, 6706, 28841, 692, 1432, 952, 594, 991, 547, 1265, 1175, 834, 821, 257, 2165, 538, 513, 23481, 7269, 267, 971, 607, 1175, 519, 476, 276, 628, 2165, 540, 26042, 4131, 781, 1289, 519, 2165, 649, 616, 3168, 585, 519, 678, 555, 2165, 269, 1109, 3245, 938, 7422, 267, 649, 917, 602, 519, 11664, 540, 713, 2165, 786, 581, 2073, 519, 1379, 540, 536, 786, 581, 678, 910, 476, 272, 543, 519, 1379, 540, 513, 786, 581, 562, 14263, 519, 1379, 540, 536, 269, 1741, 32027, 713, 1344, 1927, 3947, 721, 513, 4542, 585, 519, 678, 555, 2165, 1384, 634, 678, 555, 2165, 540, 519, 7269, 540, 568, 1384, 4855, 519, 476, 276, 628, 2165, 540, 476, 1109, 563, 4131, 678, 815, 476, 276, 267, 513, 815, 630, 274, 343, 1070, 536, 815, 11196, 275, 1070, 562, 815, 476, 1321, 543, 12990, 563, 3400, 321, 707, 9498, 269, 2142, 2386, 547, 1331, 1346, 24324, 256, 2142, 2386, 547, 6318, 519, 3003, 24324, 547, 519, 8612, 1379, 256, 0, 258, 11810, 692, 8340, 519, 3169, 1871, 540, 519, 2016, 4082, 1210, 513, 2040, 610, 3017, 4542, 269, 5609, 476, 24833, 4113, 692, 4692, 596, 948, 609, 713, 286, 594, 3893, 476, 272, 270, 275, 630, 338, 13645, 10174, 476, 273, 910, 4009, 3597, 476, 277, 2020, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 26461, 479, 454, 272, 269, 2953, 692, 3963, 711, 1175, 2638, 707, 1267, 609, 513, 9498, 2496, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 273, 269, 594, 1705, 855, 621, 3884, 1405, 835, 540, 1250, 2626, 3681, 269, 634, 3681, 616, 692, 320, 269, 630, 338, 13645, 10174, 476, 274, 910, 476, 272, 264, 1315, 476, 273, 4009, 10174, 476, 273, 692, 321, 269, 630, 338, 13645, 10174, 476, 274, 1341, 476, 272, 264, 1315, 476, 273, 4009, 10174, 476, 273, 692, 322, 269, 11196, 4009, 10174, 476, 274, 1341, 476, 272, 264, 1315, 476, 273, 4009, 10174, 476, 273, 692, 323, 269, 11196, 4009, 10174, 476, 274, 910, 476, 272, 264, 1315, 476, 273, 4009, 10174, 476, 273, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 6546, 781, 1141, 1250, 20726, 827, 513, 9498, 2501, 538, 563, 13828, 938, 4267, 941, 630, 272, 270, 275, 7565, 18414, 273, 910, 20734, 277, 994, 604, 596, 960, 602, 856, 593, 707, 9498, 596, 1205, 454, 1952, 337, 910, 269, 28670, 279, 692, 11529, 856, 524, 264, 596, 1205, 813, 337, 910, 269, 28670, 279, 454, 810, 524, 264, 568, 519, 2953, 3903, 267, 1256, 1498, 621, 1281, 711, 1413, 899, 23600, 692, 604, 596, 9062, 524, 264, 676, 630, 18414, 273, 270, 18414, 273, 264, 2073, 2731, 1175, 676, 476, 272, 267, 596, 1205, 454, 263, 8987, 20734, 274, 1341, 476, 272, 264, 1315, 476, 273, 18414, 273, 2608, 630, 18414, 273, 270, 18414, 273, 994, 284, 11196, 18414, 277, 1341, 20734, 273, 8358, 275, 454, 528, 454, 263, 272, 270, 275, 7565, 18414, 273, 910, 20734, 277, 264, 2073, 938, 2626, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 272, 269, 2913, 11196, 278, 267, 476, 275, 264, 581, 513, 1448, 593, 519, 12363, 2427, 540, 630, 9064, 1040, 4855, 519, 3169, 2418, 540, 5609, 263, 9064, 1070, 524, 2675, 263, 9064, 1070, 543, 28422, 263, 9064, 1040, 476, 273, 269, 2913, 630, 9064, 264, 581, 606, 5086, 538, 9076, 656, 10001, 971, 602, 5609, 263, 9064, 6661, 268, 273, 270, 276, 269, 4855, 519, 3169, 2418, 540, 3813, 263, 9064, 2020, 273, 269, 12693, 2776, 20412, 639, 2638, 4267, 948, 2439, 272, 4700, 4855, 606, 4082, 6697, 547, 3813, 23940, 5609, 23940, 28422, 23940, 524, 2675, 23940, 269, 16009, 23940, 524, 2675, 23940, 3813, 23940, 9625, 5609, 23940, 476, 273, 4700, 4855, 606, 4082, 6697, 547, 5430, 23940, 4882, 514, 23940, 1547, 16009, 23940, 28422, 23940, 9625, 3813, 23940, 524, 2675, 23940, 476, 274, 24355, 274, 269, 12693, 26344, 5852, 948, 692, 2252, 5609, 3287, 264, 815, 476, 272, 270, 274, 543, 3813, 12169, 264, 815, 476, 1724, 270, 1321, 2073, 1141, 1535, 543, 586, 9114, 1063, 476, 271, 543, 12631, 270, 273, 267, 6218, 519, 4082, 1210, 25066, 9163, 269, 630, 11767, 606, 3169, 2626, 4700, 5609, 3287, 1341, 586, 2020, 275, 269, 12693, 20145, 692, 22772, 519, 3169, 1871, 540, 5609, 476, 1556, 7032, 270, 1321, 1210, 519, 2040, 610, 3017, 4542, 780, 272, 269, 12693, 4569, 692, 8196, 513, 5595, 610, 3368, 5086, 3961, 547, 1265, 519, 3169, 1871, 540, 519, 1739, 4082, 281, 952, 5430, 1535, 284, 476, 275, 270, 276, 543, 476, 17734, 4113, 2999, 1535, 2999, 476, 11740, 4113, 267, 1265, 5609, 476, 273, 343, 7490, 948, 256, 8729, 692, 273, 269, 12693, 4645, 692, 11693, 602, 5609, 630, 7032, 270, 1015, 6661, 263, 6912, 263, 276, 9984, 272, 8358, 275, 267, 946, 5595, 268, 4120, 12596, 547, 1265, 606, 3169, 4082, 585, 5609, 263, 7032, 270, 276, 6393, 274, 269, 12693, 2979, 692, 2224, 1256, 543, 9642, 3601, 540, 519, 25066, 3252, 547, 1265, 519, 3169, 1871, 540, 519, 4082, 269, 5609, 263, 6629, 11027, 270, 277, 2020, 275, 269, 12693, 17832, 692, 8196, 2040, 543, 3017, 1541, 527, 2572, 547, 1265, 519, 3169, 1871, 540, 1071, 476, 1428, 5232, 692, 272, 269, 12693, 26344, 5852, 692, 1692, 1223, 596, 6218, 16009, 630, 1724, 7032, 270, 1321, 264, 952, 596, 1705, 711, 917, 519, 2040, 543, 3017, 4542, 585, 17242, 286, 14348, 596, 946, 519, 5609, 543, 5430, 2040, 543, 3017, 12596, 267, 543, 952, 865, 267, 666, 2576, 3802, 803, 998, 621, 286, 11289, 596, 8627, 2439, 273, 269, 12693, 2776, 4211, 531, 322, 692, 296, 993, 2731, 10010, 609, 875, 547, 798, 891, 2042, 267, 594, 11540, 873, 513, 1906, 3764, 3516, 855, 519, 4267, 270, 1740, 3254, 729, 11234, 269, 476, 272, 264, 513, 264, 2422, 606, 18827, 610, 25513, 16754, 547, 2328, 519, 4082, 607, 513, 25066, 1599, 540, 692, 274, 269, 12693, 4569, 692, 272, 269, 3503, 519, 4082, 607, 513, 1599, 540, 606, 8650, 5086, 4171, 2268, 568, 1447, 982, 476, 3393, 269, 513, 269, 5609, 476, 3199, 536, 269, 5609, 11196, 1911, 264, 1677, 1265, 519, 2022, 633, 8650, 5086, 267, 2356, 596, 1131, 10208, 476, 11740, 689, 519, 2016, 2268, 269, 14348, 596, 723, 547, 10208, 476, 3393, 692, 275, 269, 12693, 10789, 476, 273, 12968, 832, 692, 8340, 519, 3169, 1871, 676, 1210, 606, 3617, 2040, 610, 3017, 3961, 269, 5430, 263, 13679, 264, 5232, 0, 15612, 566, 540, 606, 12808, 2040, 4399, 8999, 3709, 330, 284, 272, 23685, 13727, 348, 1422, 2765, 346, 330, 317, 274, 2410, 273, 317, 330, 348, 815, 476, 2918, 259, 1496, 743, 2216, 6540, 27745, 596, 2285, 803, 930, 5796, 593, 875, 547, 5173, 519, 1739, 2040, 286, 1422, 8218, 25410, 4153, 8999, 3709, 330, 284, 272, 23685, 13727, 348, 1422, 2765, 346, 330, 317, 274, 2410, 273, 317, 330, 348, 815, 476, 2918, 17910, 25410, 10926, 14188, 596, 2439, 2330, 306, 3287, 21174, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 737, 317, 274, 343, 317, 330, 29146, 698, 12757, 7807, 2765, 1321, 15732, 11377, 842, 318, 271, 28682, 21702, 272, 346, 339, 318, 272, 4153, 842, 318, 271, 3867, 339, 318, 272, 4153, 2765, 272, 346, 339, 318, 273, 4153, 842, 318, 271, 3867, 339, 318, 273, 4153, 2765, 346, 306, 6025, 318, 274, 20972, 339, 318, 274, 4153, 24303, 318, 274, 315, 24303, 318, 273, 315, 24303, 318, 272, 31386, 842, 318, 271, 28682, 21702, 272, 346, 339, 318, 272, 4153, 842, 318, 271, 3867, 339, 318, 272, 4153, 2765, 272, 346, 339, 318, 273, 4153, 842, 318, 271, 3867, 339, 318, 273, 4153, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 737, 317, 274, 6025, 318, 274, 22722, 330, 268, 272, 4153, 24303, 318, 274, 315, 24303, 318, 273, 315, 24303, 318, 272, 2330, 1422, 8218, 9387, 348, 1299, 31386, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 315, 842, 318, 271, 28682, 21702, 272, 346, 339, 318, 272, 4153, 842, 318, 271, 3867, 339, 318, 272, 4153, 2765, 272, 346, 339, 318, 273, 4153, 842, 318, 271, 3867, 339, 318, 273, 348, 330, 317, 274, 6025, 318, 274, 22722, 330, 268, 272, 4153, 24303, 318, 274, 315, 24303, 318, 273, 315, 24303, 318, 272, 8607, 1299, 31386, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 315, 842, 318, 271, 28682, 21702, 272, 346, 339, 318, 272, 4153, 842, 318, 271, 3867, 339, 318, 272, 348, 330, 317, 273, 6025, 318, 273, 22722, 330, 268, 272, 4153, 24303, 318, 273, 315, 24303, 318, 272, 8607, 1299, 31386, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 315, 842, 318, 271, 28682, 330, 6025, 318, 272, 22722, 330, 268, 272, 4153, 24303, 318, 272, 8607, 1299, 31386, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 1535, 317, 330, 8607, 1299, 31386, 2765, 1535, 346, 272, 14870, 4153, 32002, 346, 613, 6248, 3126, 348, 1422, 754, 9387, 10926, 11377, 842, 318, 271, 28682, 21702, 272, 346, 339, 318, 272, 4153, 842, 318, 271, 3867, 339, 318, 272, 4153, 2765, 272, 346, 339, 318, 273, 4153, 842, 318, 271, 3867, 339, 318, 273, 4153, 2765, 346, 306, 6025, 318, 274, 20972, 339, 318, 274, 4153, 24303, 318, 274, 315, 24303, 318, 273, 315, 24303, 318, 272, 7807, 2765, 1535, 346, 272, 14870, 15732, 2330, 306, 3287, 6661, 343, 13375, 7268, 2765, 18097, 2410, 11459, 26507, 13375, 7268, 2765, 18097, 2410, 11459, 26507, 13375, 7268, 2765, 18097, 2410, 11459, 4153, 2765, 1535, 346, 272, 14870, 4153, 2431, 9385, 2431, 9385, 2431, 264, 9681, 10190, 2015, 1269, 343, 7807, 2765, 1321, 16859, 17961, 25410, 348, 1299, 590, 3709, 271, 348, 815, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 348, 1422, 2765, 23533, 3867, 271, 12453, 273, 3867, 333, 3686, 815, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 348, 1422, 2765, 346, 272, 2410, 273, 3867, 333, 3686, 1422, 23976, 1422, 10233, 346, 1042, 2410, 306, 3709, 271, 348, 815, 476, 272, 348, 8607, 8607, 1299, 590, 3709, 272, 348, 815, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 348, 1422, 2765, 23533, 3867, 272, 12453, 273, 3867, 333, 3686, 815, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 348, 1422, 2765, 23533, 1341, 476, 272, 910, 476, 272, 2410, 273, 3867, 333, 3686, 815, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 348, 1422, 2765, 23533, 1341, 476, 272, 2410, 273, 3867, 333, 3686, 910, 590, 3709, 271, 348, 8607, 1299, 1422, 29911, 1422, 23976, 590, 3709, 272, 348, 1341, 590, 3709, 271, 348, 815, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 348, 1422, 2765, 23533, 1341, 476, 272, 2410, 273, 3867, 333, 3686, 815, 476, 273, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 348, 1422, 2765, 23533, 1341, 476, 272, 2410, 273, 3867 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 815, 910, 1724, 10608, 1109, 634, 824, 942, 3604, 616, 1269, 280, 259, 543, 1269, 2420, 10608, 1109, 634, 2040, 568, 1269, 268, 1724, 266, 280, 266, 2420, 284, 1240, 259, 543, 519, 3328, 568, 1269, 277, 269, 259, 1109, 9540, 518, 2338, 1797, 18334, 267, 811, 4977, 9273, 780, 2691, 594, 16455, 1250, 4569, 15575, 338, 6887, 267, 594, 1118, 2386, 547, 7618, 873, 547, 2626, 519, 2243, 602, 568, 1373, 4280, 269, 1109, 2334, 568, 267, 1310, 782, 519, 9273, 723, 1044, 5340, 543, 596, 723, 513, 1871, 585, 1535, 267, 556, 1348, 519, 2243, 267, 543, 1118, 2386, 1535, 568, 1018, 519, 1966, 568, 6998, 585, 269, 1109, 8307, 950, 596, 616, 2386, 596, 723, 12943, 519, 2243, 1058, 596, 2328, 621, 1524, 630, 528, 19389, 621, 538, 1916, 2690, 1383, 267, 2221, 594, 6557, 17265, 2326, 585, 1250, 2319, 267, 543, 594, 3357, 2066, 713, 1966, 912, 10527, 1614, 18251, 8870, 1269, 276, 288, 275, 259, 568, 513, 2789, 540, 3670, 269, 1109, 1548, 568, 519, 2040, 540, 782, 519, 2009, 2418, 585, 519, 7857, 6719, 676, 589, 18313, 5475, 930, 9273, 267, 594, 1336, 476, 275, 2009, 2418, 585, 589, 281, 476, 271, 267, 476, 274, 267, 476, 277, 267, 543, 476, 280, 269, 1109, 3733, 1101, 2219, 729, 281, 968, 763, 2626, 568, 476, 275, 256, 1109, 1703, 616, 2185, 2009, 2418, 540, 589, 1848, 1109, 1809, 1287, 594, 556, 1348, 519, 2243, 267, 543, 621, 12134, 585, 519, 2040, 540, 782, 2009, 2418, 269, 1109, 634, 2953, 2626, 568, 454, 259, 271, 266, 274, 266, 277, 266, 280, 815, 476, 1240, 269, 14204, 15919, 596, 666, 2057, 713, 5470, 676, 4259, 1109, 707, 4756, 3160, 547, 519, 1871, 519, 1966, 568, 6998, 585, 267, 865, 602, 950, 596, 798, 4194, 585, 1535, 267, 596, 798, 711, 991, 547, 1685, 3606, 9273, 547, 5352, 519, 2953, 2626, 563, 1607, 568, 513, 1134, 8153, 5470, 267, 543, 1109, 32178, 15570, 322, 5414, 330, 814, 2854, 827, 621, 1109, 514, 519, 2796, 540, 3384, 1434, 1966, 6061, 6208, 269, 1109, 2368, 1004, 949, 4766, 713, 607, 513, 968, 339, 4459, 2243, 892, 855, 594, 1589, 621, 779, 1175, 513, 2339, 540, 2921, 1416, 547, 556, 1348, 519, 2243, 543, 2626, 519, 2243, 602, 568, 1373, 4280, 267, 711, 519, 2243, 602, 596, 6999, 1185, 1044, 4280, 780, 258, 24908, 909, 3252, 692, 296, 5063, 3357, 2066, 606, 3642, 10933, 1966, 602, 3379, 1018, 594, 1289, 968, 332, 12089, 909, 3252, 281, 10640, 1692, 1082, 1483, 2338, 1535, 14183, 519, 3830, 1384, 7445, 2765, 346, 272, 2410, 276, 32710, 8421, 318, 273, 1535, 264, 815, 7562, 263, 276, 19570, 1535, 22491, 3528, 6404, 909, 267, 594, 1611, 649, 723, 519, 13350, 20534, 7455, 1226, 730, 609, 519, 27865, 517, 1227, 2810, 2845, 1599, 269, 1109, 10705, 609, 20743, 649, 666, 5372, 873, 609, 606, 12825, 1599, 267, 538, 713, 2013, 609, 3490, 476, 273, 267, 855, 602, 5654, 30255, 780, 763, 1935, 594, 1419, 1294, 609, 891, 3765, 2173, 520, 3481, 3252, 568, 547, 2721, 513, 3113, 543, 1294, 1141, 519, 476, 273, 3252, 12969, 269, 1109, 1809, 1101, 267, 594, 6557, 2469, 547, 9062, 1312, 5011, 676, 476, 276, 1317, 945, 15055, 8454, 2496, 7445, 8421, 318, 273, 1535, 815, 276, 5609, 263, 276, 19570, 1535, 22491, 25105, 602, 779, 1732, 269, 1109, 18564, 602, 519, 5021, 543, 5934, 2418, 540, 1269, 344, 284, 276, 5609, 263, 276, 19570, 1535, 7751, 2049, 950, 1269, 343, 7807, 2765, 346, 272, 2410, 1015, 4151, 543, 1269, 343, 7807, 2765, 24877, 272, 2410, 1015, 20954, 543, 519, 5021, 543, 5934, 2418, 616, 476, 276, 543, 910, 276, 269, 1109, 1656, 540, 1576, 713, 568, 513, 13350, 1599, 602, 568, 3989, 585, 782, 1483, 2338, 780, 259, 344, 7807, 8421, 318, 273, 1535, 259, 593, 519, 824, 1688, 568, 3989, 1152, 936, 2318, 556, 1023, 267, 543, 2094, 621, 568, 2141, 2810, 689, 2451, 547, 1318, 267, 693, 930, 1448, 519, 1871, 540, 519, 1599, 786, 9765, 476, 276, 269, 1109, 13018, 267, 713, 786, 2049, 585, 1269, 343, 285, 3953, 10608, 1109, 19452, 267, 1109, 259, 344, 7807, 8421, 318, 273, 1535, 259, 786, 581, 1447, 982, 910, 276, 585, 1269, 343, 283, 315, 2765, 346, 272, 2410, 3953, 31859, 4517, 621, 779, 7805, 602, 538, 519, 8884, 4399, 2765, 346, 272, 2410, 3953, 348, 519, 2845, 1599, 568, 2469, 547, 12969, 519, 20534, 1599, 607, 621, 4422, 909, 543, 1524, 593, 922, 13350, 2619, 269, 1109, 1215, 1082, 2053, 1281, 621, 12969, 286, 1109, 3642, 10933, 5830, 899, 547, 6952, 1053, 593, 968, 4752, 676, 835, 892, 6959, 267, 865, 1491, 1416, 547, 4983, 1018, 568, 8345, 2673, 547, 1269, 343, 7807, 2765, 346, 272, 2410, 3953, 4151, 543, 1269, 343, 284, 3953, 259, 1354, 10024, 707, 2626, 256, 0, 258, 1269, 347, 325, 3287, 9984, 325, 12169, 264, 24689, 548, 3287, 3917, 8203, 273, 259, 1510, 32364, 20439, 1145, 692, 2252, 1269, 347, 325, 3287, 9984, 325, 12169, 264, 24689, 548, 3287, 3917, 8203, 273, 259, 585, 782, 1269, 343, 11971, 22174, 315, 13992, 681, 8961, 1287, 621, 779, 2653, 547, 1397, 602, 1269, 325, 685, 284, 271, 259, 10876, 267, 543, 519, 1611, 1871, 11532, 10522, 602, 602, 1797, 1269, 325, 259, 568, 3586, 269, 1403, 972, 941, 513, 7934, 538, 519, 1483, 1899, 543, 1269, 325, 284, 274, 259, 593, 835, 2427, 540, 519, 7934, 543, 1269, 325, 284, 275, 259, 593, 519, 824, 2427, 540, 519, 7934, 267, 1287, 1269, 325, 685, 284, 271, 259, 10876, 855, 1269, 325, 259, 568, 711, 3586, 269, 12821, 20439, 1145, 13788, 3842, 519, 1611, 1871, 11532, 780, 3719, 594, 4898, 952, 519, 20790, 6585, 1256, 538, 513, 1899, 609, 10616, 269, 1280, 1383, 952, 1269, 325, 24097, 13992, 1627, 29540, 315, 13992, 1627, 259, 543, 585, 782, 1269, 343, 11971, 22174, 315, 13992, 1627, 259, 713, 8635, 6585, 267, 1281, 602, 17538, 1269, 325, 259, 568, 3586, 286, 1656, 1018, 827, 824, 7934, 23752, 3515, 982, 4399, 13992, 1627, 259, 286, 6270, 607, 4399, 13992, 681, 315, 3553, 2381, 639, 589, 259, 1141, 1269, 288, 259, 568, 513, 13113, 1305, 267, 610, 513, 1293, 762, 1305, 267, 610, 513, 1305, 4171, 9148, 568, 10053, 267, 610, 8726, 1305, 621, 1522, 581, 540, 1719, 547, 2307, 713, 2243, 827, 2496, 2971, 10298, 11814, 532, 3245, 5680, 540, 834, 259, 347, 325, 3287, 9984, 325, 12169, 264, 24689, 548, 3287, 3917, 8203, 273, 259, 1510, 32364, 20439, 1145, 5016, 2791, 1152, 991, 519, 1305, 1141, 1269, 325, 259, 568, 3989, 547, 581, 10053, 269, 634, 11532, 568, 3020, 538, 11973, 5624, 267, 543, 538, 602, 1252, 1275, 267, 5860, 568, 811, 982, 2614, 267, 782, 596, 2731, 991, 568, 519, 2702, 547, 1847, 689, 1448, 547, 1448, 538, 11737, 337, 3320, 2110, 3268, 780, 295, 25891, 689, 1269, 343, 259, 547, 1269, 344, 259, 538, 1269, 333, 259, 2110, 3268, 540, 2450, 1269, 302, 263, 272, 14672, 7751, 23451, 1269, 347, 325, 3287, 9984, 325, 12169, 31206, 259, 607, 1269, 333, 744, 263, 272, 14672, 317, 273, 29408, 799, 4422, 547, 4642, 585, 1804, 1269, 333, 16859, 2690, 519, 2489, 2013, 538, 513, 11973, 2230, 267, 5581, 519, 4448, 3334, 585, 968, 7749, 4771, 892, 676, 1269, 343, 1422, 13678, 586, 259, 952, 585, 1169, 1269, 324, 3436, 476, 271, 259, 972, 568, 513, 13113, 5832, 540, 2798, 4358, 693, 1269, 343, 259, 543, 10678, 693, 1269, 344, 8961, 609, 15654, 2798, 782, 693, 3845, 1269, 283, 552, 259, 630, 663, 513, 3808, 267, 4830, 540, 1269, 324, 8961, 593, 519, 2698, 3259, 540, 519, 15654, 26357, 1040, 3973, 692, 1892, 513, 1599, 4794, 3539, 519, 8635, 568, 3586, 593, 5577, 4771, 3334, 692, 1892, 1022, 1079, 5577, 4771, 3334, 616, 693, 2318, 13113, 3845, 689, 1142, 824, 630, 320, 968, 326, 777, 25257, 952, 519, 11973, 2230, 568, 11741, 692, 1892, 519, 1599, 666, 723, 1114, 2418, 585, 1114, 3334, 780, 763, 3169, 2179, 540, 5191, 547, 5581, 1269, 325, 259, 8335, 593, 519, 3334, 568, 606, 4277, 543, 5732, 811, 2352, 2243, 950, 972, 616, 28222, 1082, 3334, 610, 267, 538, 519, 1875, 4818, 716, 2013, 267, 8424, 540, 3334, 602, 2097, 11737, 337, 3320, 2673, 547, 1142, 824, 780, 763, 1152, 3959, 540, 519, 5580, 3808, 18159, 343, 3917, 8203, 273, 259, 602, 568, 1031, 1934, 568, 602, 621, 8709, 8460, 547, 1931, 2362, 982, 1269, 272, 259, 585, 1507, 1269, 347, 343, 3917, 347, 16859, 4131, 1269, 343, 815, 1535, 318, 271, 2999, 1535, 318, 272, 2999, 1422, 25854, 2999, 1535, 5332, 815, 586, 259, 581, 513, 1920, 540, 9696, 971, 602, 1269, 347, 343, 10983, 1107, 1535, 3709, 328, 266, 272, 348, 347, 1422, 21375, 476, 271, 259, 3973, 946, 6906, 8635, 543, 596, 666, 1118, 1269, 347, 325, 3287, 264, 1107, 535, 12169, 31206, 259, 11737, 337, 3320, 1507, 269, 0, 258, 19130, 519, 7934, 1257, 2439, 305, 895, 519, 13409, 780, 5327, 330, 540, 12937, 780, 763, 13409, 476, 272, 1107, 589, 4130, 16075, 476, 273, 3601, 540, 519, 13409, 7387, 1858, 476, 274, 543, 849, 519, 25099, 1858, 476, 275, 2627, 543, 2627, 3148, 540, 11631, 476, 276, 5666, 540, 519, 13409, 476, 277, 3635, 13467, 281, 6480, 574, 725, 2066, 519, 13409, 780, 763, 13409, 1107, 589, 4130, 5305, 780, 1103, 519, 2063, 1576, 596, 4865, 4121, 827, 519, 18158, 609, 1022, 20372, 607, 513, 4358, 1448, 269, 1403, 835, 30283, 519, 20372, 540, 519, 3490, 676, 513, 5858, 267, 649, 3489, 513, 1644, 14869, 548, 281, 519, 13409, 2439, 15371, 610, 711, 13792, 13000, 13409, 267, 28894, 976, 610, 838, 4536, 267, 616, 2356, 4092, 598, 673, 3688, 1369, 938, 1158, 780, 15253, 7859, 689, 519, 13409, 780, 258, 589, 13409, 568, 2731, 513, 1480, 1560, 267, 519, 5377, 540, 799, 568, 2965, 513, 1895, 630, 21353, 545, 1895, 540, 2828, 6393, 763, 14694, 2627, 540, 519, 13409, 568, 17208, 269, 634, 3845, 540, 707, 2856, 883, 519, 5748, 2627, 1858, 590, 267, 519, 15038, 540, 519, 13409, 269, 589, 5409, 15062, 689, 707, 535, 16206, 540, 519, 1895, 2509, 519, 30085, 779, 1826, 1250, 1957, 1858, 1899, 543, 621, 568, 13042, 968, 338, 6100, 1306, 609, 519, 18158, 267, 513, 11984, 593, 713, 2985, 538, 1063, 519, 2786, 630, 14259, 697, 264, 543, 21933, 1664, 25862, 269, 8347, 547, 2509, 519, 13197, 2983, 334, 5040, 813, 2280, 269, 1280, 1004, 899, 721, 267, 2348, 1767, 602, 267, 616, 1152, 1175, 595, 821, 1713, 780, 10870, 520, 543, 17183, 3148, 780, 763, 14694, 1283, 540, 519, 13409, 780, 288, 264, 10439, 1125, 596, 1522, 581, 13302, 513, 7299, 13409, 7258, 513, 2627, 1858, 3126, 2059, 609, 519, 7887, 1352, 987, 2813, 6366, 269, 16503, 3433, 519, 12166, 26430, 602, 596, 3274, 786, 1205, 585, 707, 14694, 2627, 780, 263, 7078, 540, 713, 15545, 634, 1283, 540, 519, 12718, 568, 2965, 513, 13551, 267, 519, 4560, 540, 707, 13551, 568, 3160, 547, 519, 1377, 540, 519, 8546, 267, 519, 3259, 540, 519, 13551, 568, 3160, 547, 519, 18592, 540, 707, 12718, 269, 25589, 16100, 693, 26840, 19171, 909, 8827, 692, 763, 14694, 1283, 540, 519, 13409, 568, 2356, 513, 5858, 3296, 630, 9225, 4062, 1040, 634, 8953, 540, 519, 9764, 2759, 719, 267, 519, 8653, 540, 2870, 4015, 521, 269, 645, 568, 519, 9095, 3259, 540, 519, 18592, 540, 707, 13409, 780, 289, 264, 25397, 2594, 519, 2627, 540, 707, 13409, 543, 25436, 8282, 9935, 780, 763, 25136, 1283, 540, 519, 13409, 540, 519, 25136, 6712, 540, 11631, 634, 13409, 568, 17223, 1247, 1210, 519, 1318, 1310, 4542, 1384, 2710, 713, 4542, 547, 1205, 256, 6744, 856, 4434, 543, 1397, 476, 272, 560, 267, 799, 568, 269, 4518, 609, 519, 13042, 5373, 689, 519, 7387, 6989, 899, 513, 1344, 2439, 763, 25136, 2627, 540, 519, 13409, 1644, 585, 519, 1858, 540, 11631, 634, 5858, 2759, 719, 1210, 513, 8953, 536, 543, 521, 9095, 7403, 269, 645, 568, 519, 8653, 540, 519, 9095, 609, 8953, 918, 516, 529, 9476, 572, 19241, 832, 521, 543, 21276, 569, 267, 519, 18592, 540, 707, 13409, 609, 8953, 678, 2439, 14738, 1934, 596, 786, 3605, 1082, 4388, 593, 875, 547, 4163, 593, 666, 630, 604, 596, 1205, 9575, 909, 6393, 31738, 1459, 670, 842, 10703, 531, 692, 22873, 658, 267, 3132, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 346, 273, 4151, 543, 4399, 15883, 815, 276, 10559, 6912, 346, 273, 21456, 3383, 1210, 4542, 2073, 5681, 540, 5072, 1797, 4399, 10401, 1341, 315, 15883, 259, 568, 11224, 547, 4399, 13320, 24877, 321, 2410, 320, 4151, 2073, 7445, 10401, 1341, 315, 15883, 31386, 13320, 24877, 321, 2410, 320, 21456, 4517, 1587, 540, 5072, 1797, 4399, 10401, 1422, 15883, 259, 11224, 547, 4399, 13320, 26231, 2410, 320, 20954, 4399, 10401, 1422, 15883, 31386, 13320, 26231, 2410, 320, 21456, 7445, 10401, 1341, 315, 15883, 815, 276, 10954, 6912, 346, 273, 15396, 276, 10559, 6912, 346, 273, 21456, 7445, 10401, 1341, 315, 15883, 815, 1015, 2807, 263, 272, 7751, 454, 4517, 4399, 10401, 1422, 15883, 815, 263, 276, 10954, 6912, 346, 273, 348, 7565, 276, 10559, 6912, 346, 273, 348, 7751, 454, 3086, 1210, 4542, 18159, 320, 17070, 7565, 320, 1532, 6661, 13997, 320, 8703, 273, 3686, 268, 13997, 321, 8703, 273, 3686, 14204, 7445, 10401, 1422, 15883, 815, 263, 276, 10954, 6912, 346, 273, 348, 7565, 276, 10559, 6912, 346, 273, 348, 7751, 454, 5475, 7311, 713, 4542, 938, 3830, 5654, 899, 454, 7445, 10401, 1422, 15883, 815, 263, 13997, 276, 8703, 273, 3686, 268, 13997, 7268, 6912, 346, 273, 16585, 8703, 273, 3686, 6661, 1839, 268, 273, 14204, 7661, 267, 649, 1205, 454, 7445, 10401, 1422, 15883, 815, 2537, 2807, 263, 273, 7751, 454, 3086, 649, 917, 602, 4399, 10401, 1341, 315, 15883, 31386, 13320, 24877, 321, 2410, 320, 4151, 543, 4399, 10401, 1422, 15883, 31386, 13320, 26231, 2410, 320, 21456, 21607, 1154, 2418, 689, 3830, 630, 272, 543, 476, 273, 994, 2171, 1205, 1269, 1015, 7807, 13320, 24877, 321, 2410, 320, 4151, 543, 1269, 2537, 7807, 13320, 26231, 2410, 320, 21456, 4002, 6061, 649, 1205, 1269, 321, 15871, 1015, 320, 259, 543, 1269, 322, 284, 2537, 320, 14204, 3086, 649, 666, 2322, 713, 1871, 540, 536, 543, 524, 538, 3312, 3830, 1269, 320, 13997, 343, 8703, 273, 3686, 266, 321, 343, 25239, 284, 271, 14204, 2171, 1205, 1269, 320, 13997, 343, 8703, 273, 3686, 268, 1015, 1314, 266, 2537, 320, 284, 271, 259, 2073, 1631, 538, 713, 3830, 649, 666, 1491, 513, 1455, 267, 1287, 621, 786, 1413, 899, 454, 259, 320, 263, 13997, 343, 8703, 273, 3686, 268, 1015, 343, 266, 2537, 6661, 271, 8961, 1810, 1406, 25657, 609, 737, 454, 288, 610, 737, 568, 1175, 513, 4351, 1297, 799, 568, 1875, 4642, 1483, 1297, 454, 17798, 2626, 568, 630, 290, 264, 1269, 330, 315, 13997, 346, 343, 8703, 273, 3686, 268, 1015, 343, 266, 2537, 315, 21456, 3383, 267, 519, 2953, 2626, 568, 968, 29682, 595, 892, 780, 9616, 281, 5269, 2386, 602, 596, 5372, 1269, 321, 15871, 7268, 10401, 1341, 315, 15883, 3738, 320, 259, 3006, 649, 7340, 547, 1491, 602, 2942, 1129, 2676, 4517, 1491, 1269, 321, 284, 7268, 10401, 1341, 315, 15883, 3738, 320, 259, 799, 786, 2164, 538, 4636, 2626, 2073, 952, 538, 513, 2243, 649, 616, 2016, 3830, 543, 6998, 585, 3070, 1287, 849, 649, 666, 4019, 519, 1482, 5650, 607, 5018, 1657, 543, 946, 519, 4513, 12596, 4399, 10401, 1341, 315, 15883, 31386, 13320, 24877, 321, 2410, 320, 4151, 543, 4399, 10401, 1422, 15883, 31386, 13320, 26231, 2410, 320, 4151, 0, 258, 476, 7871, 269, 26228, 4427, 6783, 692, 1012, 13517, 692, 11693, 606, 8870, 5044, 15358, 267, 1265, 519, 1016, 6783, 609, 519, 4102, 2040, 267, 543, 2132, 922, 2040, 780, 7078, 476, 272, 1384, 19152, 281, 15358, 815, 30585, 273, 267, 272, 16427, 274, 267, 275, 16427, 272, 267, 273, 267, 272, 16427, 276, 267, 275, 2639, 20479, 281, 476, 277, 454, 15008, 281, 634, 1016, 6783, 1496, 275, 16427, 272, 267, 273, 267, 272, 316, 814, 519, 4102, 2040, 476, 277, 563, 692, 7078, 476, 273, 1384, 19152, 281, 15358, 815, 1496, 272, 2639, 20479, 281, 476, 272, 454, 15008, 281, 634, 1016, 6783, 1496, 272, 316, 814, 519, 4102, 2040, 476, 272, 563, 692, 7078, 476, 274, 1384, 19152, 281, 15358, 815, 1496, 276, 267, 275, 16427, 272, 267, 278, 267, 279, 2639, 20479, 281, 476, 2537, 454, 15008, 281, 634, 1016, 6783, 1496, 276, 267, 275, 16427, 272, 267, 278, 267, 279, 316, 814, 519, 4102, 2040, 476, 2537, 563, 692, 3519, 14259, 6493, 1384, 1892, 476, 272, 10922, 15358, 32324, 10922, 476, 10755, 454, 1892, 910, 10441, 10922, 15358, 5157, 316, 10922, 476, 10441, 692, 10287, 909, 281, 1403, 596, 723, 23125, 856, 519, 744, 3799, 264, 3070, 267, 2119, 8193, 1776, 3070, 1210, 519, 7941, 543, 20630, 1935, 267, 799, 568, 811, 11029, 780, 1012, 10298, 692, 11405, 476, 272, 281, 25674, 14691, 692, 2171, 5581, 1269, 325, 5157, 316, 259, 547, 2099, 519, 5021, 2040, 540, 519, 6024, 1016, 6783, 10678, 609, 519, 3693, 1269, 333, 4548, 5157, 316, 10608, 21231, 267, 1269, 325, 314, 271, 316, 815, 15358, 314, 271, 316, 10608, 634, 3803, 2626, 649, 616, 3168, 585, 568, 4399, 10946, 3709, 271, 1422, 19008, 1775, 2999, 562, 348, 535, 5157, 316, 16859, 13706, 1269, 325, 5157, 316, 8961, 1141, 1269, 328, 1422, 28254, 476, 272, 8961, 922, 1533, 5912, 3830, 568, 1384, 259, 325, 5157, 316, 815, 1422, 10946, 1422, 346, 535, 5157, 910, 476, 272, 316, 1341, 15358, 5157, 3910, 15358, 5157, 316, 1422, 10592, 7617, 568, 849, 1384, 259, 325, 5157, 316, 815, 1422, 10946, 1422, 346, 535, 5157, 910, 476, 272, 3910, 476, 271, 1422, 348, 1341, 15358, 5157, 316, 6911, 7712, 1269, 325, 5157, 316, 259, 568, 1152, 1644, 547, 1269, 325, 5157, 910, 476, 272, 316, 8961, 649, 666, 946, 513, 2582, 4756, 1269, 325, 259, 547, 2226, 519, 1699, 1871, 540, 1269, 325, 5157, 316, 8961, 543, 1287, 1685, 1533, 5912, 269, 634, 2626, 568, 4399, 10946, 3709, 271, 1422, 19008, 1775, 2999, 562, 348, 535, 16859, 763, 942, 6988, 568, 1269, 302, 3799, 29408, 1141, 1269, 333, 259, 568, 519, 3259, 540, 519, 5044, 1269, 333, 4548, 10608, 1284, 1152, 991, 547, 29906, 519, 5044, 2899, 547, 1205, 519, 2626, 269, 634, 2230, 6988, 568, 1269, 302, 263, 272, 29408, 649, 1152, 991, 3586, 2230, 547, 4558, 1896, 4632, 780, 1892, 1362, 8827, 13634, 21504, 703, 3193, 8138, 26161, 17301, 26514, 15358, 264, 13634, 842, 20735, 815, 15358, 314, 271, 30092, 1721, 630, 842, 1775, 815, 476, 272, 267, 535, 815, 15358, 314, 271, 22049, 1775, 2999, 15358, 32324, 282, 1341, 266, 328, 264, 13634, 325, 815, 4569, 27982, 6600, 267, 476, 271, 264, 1341, 15358, 5157, 30092, 753, 815, 4569, 27982, 263, 753, 267, 535, 11850, 8679, 8873, 20735, 3248, 8679, 10926, 1892, 1362, 8827, 13634, 21504, 912, 842, 3193, 8138, 26161, 263, 19066, 283, 842, 285, 261, 15358, 264, 13634, 842, 20735, 815, 15358, 314, 271, 3910, 535, 815, 15358, 314, 271, 30092, 1721, 630, 842, 1775, 815, 476, 272, 282, 1775, 2999, 15358, 25915, 3890, 282, 1341, 266, 328, 264, 13634, 325, 815, 3193, 6600, 267, 476, 271, 264, 1341, 15358, 5157, 30092, 753, 815, 3193, 263, 753, 267, 535, 11850, 8679, 8873, 20735, 3248, 8679, 348, 16963, 1892, 1362, 8827, 912, 3698, 3193, 8138, 26161, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 637, 815, 1225, 23544, 815, 15358, 314, 271, 2639, 1721, 1003, 538, 15358, 314, 272, 281, 14158, 2017, 23544, 815, 1003, 1341, 3193, 263, 2017, 23544, 267, 476, 271, 994, 637, 815, 3193, 263, 637, 267, 1225, 23544, 994, 8873, 759, 7531, 1892, 30775, 3193, 8138, 26161, 25225, 32582, 842, 264, 703, 13634, 753, 267, 535, 28701, 15358, 314, 271, 3910, 15358, 314, 271, 2639, 1721, 9041, 267, 1535, 28701, 2039, 15358, 314, 272, 281, 316, 13634, 325, 815, 3193, 6600, 267, 476, 271, 264, 1341, 1535, 454, 753, 815, 3193, 263, 753, 267, 535, 994, 8679, 8873, 20735, 454, 10926, 1892, 1599, 3193, 8138, 26161, 25225, 281, 1297, 26514, 2567, 1297, 13634, 2280, 1496, 753, 267, 535, 316, 815, 1496, 333, 4548, 314, 271, 3910, 15358, 314, 271, 14963, 3248, 1721, 630, 2280, 1775, 815, 476, 272, 282, 1775, 2999, 15358, 32324, 282, 1341, 266, 328, 264, 13634, 325, 815, 4569, 27982, 6600, 267, 476, 271, 264, 1341, 15358, 5157, 30092, 753, 815, 4569, 27982, 263, 753, 267, 535, 11850, 8679, 8873, 20735, 3248, 348, 7531, 1892, 1315, 12533, 265, 7711, 12407, 2715, 15893, 26514, 348, 15358, 454, 265, 7711, 8873, 2715, 15893, 8679, 265, 13045, 12534, 3193, 8138, 26161, 815, 1599, 630, 333, 4548, 264, 13634, 2280, 1496, 753, 267, 535, 316, 815, 1496, 333, 4548, 314, 271, 3910, 15358, 314, 271, 14963, 3248, 1721, 630, 2280, 1775, 815, 476, 272, 282, 1775, 2999, 15358, 32324, 282, 1341, 266, 328, 264, 13634, 325, 815, 4569, 27982, 6600, 267, 476, 271, 264, 1341, 15358, 5157, 30092, 753, 815, 4569, 27982, 263, 753, 267, 535, 11850, 8679, 8873, 20735, 3248, 348, 282, 7531, 1892, 1857, 1362, 8827, 13634, 21504, 703, 7665, 8138, 26161, 17301, 26514, 15358, 264, 13634, 842, 20735, 815, 15358, 314, 271, 3910, 535, 815, 15358, 314, 271, 30092, 1721, 630, 842, 1775, 815, 476, 272, 282, 1775, 2999, 15358, 11482, 2654, 282, 1341, 266, 328, 264, 13634, 325, 815, 4569, 8160, 1314, 6600, 267, 476, 271, 264, 1341, 15358, 5157, 30092, 753, 815, 4569, 8160, 1314, 263, 753, 267, 535, 11850, 8679, 8873, 20735, 3248, 8679, 10926, 1892, 5579, 8827, 13634, 335, 889, 535, 333, 3193, 5334, 889, 24512, 25225, 281, 966, 1815, 283, 328, 3953, 285, 264, 9847, 1775, 3953, 13634, 2280, 562, 815, 15358, 269, 6352, 3890, 3248, 2280, 4573, 20735, 815, 15358, 314, 271, 30092, 2280, 4573, 535, 815, 15358, 314, 271, 30092, 1721, 1775, 538, 476, 272, 907, 333, 13634, 325, 815, 535, 27982, 263, 271, 264, 1341, 15358, 5157, 30092, 753, 815, 20735, 27982, 6600, 11850, 8679, 753, 454, 8679, 348, 0, 304, 1384, 1692, 798, 596, 1265, 519, 3017, 1063, 519, 6574, 1455, 3815, 543, 519, 2547, 1455, 2789, 2496, 288, 1384, 2414, 1265, 1312, 519, 2547, 1455, 2789, 543, 6574, 1455, 3815, 267, 1265, 519, 6305, 3815, 3074, 540, 519, 2338, 269, 3973, 2322, 873, 883, 513, 7470, 543, 5635, 543, 4334, 873, 780, 16605, 4804, 692, 2414, 1265, 519, 717, 20003, 543, 700, 13967, 267, 1210, 606, 1383, 568, 3617, 269, 1403, 519, 1079, 2338, 616, 476, 4968, 271, 543, 476, 7742, 271, 267, 4466, 519, 6305, 3815, 3074, 568, 519, 1101, 1900, 269, 1280, 476, 7742, 271, 267, 519, 6305, 26458, 568, 476, 7742, 271, 270, 273, 815, 476, 10219, 271, 270, 273, 815, 476, 27698, 270, 276, 815, 476, 10219, 270, 276, 815, 476, 1839, 270, 276, 815, 476, 276, 267, 865, 519, 2338, 616, 476, 273, 1535, 476, 273, 1535, 476, 276, 1535, 476, 276, 1535, 476, 276, 1535, 476, 276, 780, 2690, 476, 4968, 271, 267, 519, 6305, 26458, 568, 476, 4968, 271, 270, 273, 815, 476, 5611, 271, 270, 273, 815, 476, 16020, 270, 276, 815, 476, 5611, 270, 276, 815, 476, 1789, 270, 276, 815, 476, 277, 270, 273, 815, 476, 274, 267, 865, 519, 2338, 616, 476, 273, 1535, 476, 273, 1535, 476, 276, 1535, 476, 276, 1535, 476, 276, 1535, 476, 273, 1535, 476, 274, 269, 634, 1985, 1900, 568, 547, 5635, 519, 2338, 269, 5637, 2338, 1331, 476, 273, 267, 476, 273, 267, 476, 276, 267, 476, 276, 267, 543, 476, 276, 269, 1280, 519, 717, 20003, 267, 2789, 476, 273, 1535, 476, 273, 1535, 476, 276, 1535, 476, 276, 1535, 476, 276, 547, 1205, 476, 4335, 267, 799, 568, 519, 717, 20003, 780, 2690, 519, 700, 13967, 267, 1586, 1899, 909, 519, 6305, 3815, 3074, 267, 1491, 856, 519, 12215, 267, 543, 2789, 873, 1927, 269, 1924, 267, 1491, 476, 273, 1535, 476, 273, 1535, 476, 276, 1535, 476, 276, 1535, 476, 276, 1535, 476, 276, 1535, 476, 273, 1535, 476, 274, 547, 1205, 476, 1428, 267, 1822, 269, 1924, 519, 717, 20003, 568, 476, 4335, 543, 519, 700, 13967, 568, 476, 1428, 267, 1822, 267, 2495, 519, 3017, 1063, 717, 20003, 543, 700, 13967, 568, 476, 272, 267, 1822, 780, 306, 1545, 1384, 16665, 5999, 692, 1892, 589, 281, 634, 9803, 1455, 2789, 540, 476, 1691, 543, 476, 275, 568, 476, 2764, 1317, 476, 1691, 16611, 676, 476, 273, 11224, 476, 2764, 267, 543, 476, 275, 16611, 676, 476, 278, 11224, 476, 2764, 269, 634, 9803, 1455, 2789, 568, 834, 1492, 1159, 531, 1862, 9509, 8382, 28825, 293, 6150, 7201, 912, 1892, 589, 281, 634, 2547, 1455, 2789, 540, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29820, 593, 4873, 476, 1556, 267, 476, 6245, 278, 267, 10548, 2398, 553, 611, 645, 1143, 559, 729, 1851, 519, 1034, 29810, 4095, 5191, 25881, 945, 5706, 539, 3703, 7810, 4229, 11489, 1010, 2063, 7362, 563, 288, 12316, 945, 8179, 4986, 855, 5191, 267, 646, 1419, 6964, 6965, 607, 1010, 14049, 540, 3903, 538, 519, 4339, 1996, 519, 11440, 626, 4229, 563, 305, 600, 2398, 553, 611, 729, 4535, 538, 513, 1507, 8498, 538, 31579, 541, 21423, 779, 20961, 329, 25301, 20580, 547, 12653, 331, 573, 9618, 543, 631, 944, 3901, 328, 269, 1261, 2919, 513, 6010, 532, 585, 519, 589, 787, 320, 6341, 1690, 693, 606, 2038, 2085, 543, 3323, 1603, 13348, 5328, 18627, 538, 21460, 543, 19446, 1210, 4050, 4408, 971, 607, 645, 1143, 559, 267, 10548, 543, 3397, 344, 520, 563, 763, 16431, 540, 513, 4838, 1101, 3576, 5072, 538, 1010, 2247, 950, 646, 1224, 827, 519, 2669, 4845, 13752, 547, 13225, 2967, 623, 1301, 534, 663, 267, 606, 589, 787, 320, 6341, 1690, 29966, 269, 1261, 729, 782, 540, 476, 1240, 1287, 543, 642, 5034, 1010, 2587, 340, 880, 998, 1010, 6648, 2048, 300, 5028, 3967, 332, 17483, 3891, 3357, 547, 581, 9833, 607, 513, 5191, 25142, 1310, 646, 8362, 15548, 538, 519, 6301, 335, 19441, 24242, 538, 476, 4489, 279, 269, 717, 12629, 700, 531, 667, 1460, 527, 267, 513, 4116, 689, 589, 29718, 5984, 8664, 267, 8678, 645, 1143, 559, 538, 1010, 3646, 547, 20834, 1047, 6107, 689, 18264, 1177, 1695, 267, 6301, 335, 19441, 267, 3397, 571, 543, 20961, 329, 25301, 20580, 543, 1118, 873, 6443, 741, 3906, 1412, 12385, 337, 1882, 328, 685, 543, 2048, 4537, 643, 1690, 328, 6341, 16951, 9957, 1261, 561, 2393, 539, 2229, 1726, 553, 3753, 547, 2508, 891, 3906, 267, 15980, 1864, 513, 28120, 32431, 6438, 4567, 563, 3891, 849, 3370, 513, 30732, 2280, 3957, 2048, 5327, 327, 13195, 12011, 517, 1183, 10878, 600, 8730, 799, 849, 3769, 1010, 6648, 2048, 14611, 335, 19441, 737, 328, 2398, 520, 580, 5984, 17483, 3891, 9244, 5156, 602, 5191, 3112, 581, 6913, 1510, 5208, 267, 1973, 338, 1117, 267, 799, 5921, 1010, 5784, 941, 538, 22880, 4334, 547, 8575, 32257, 19413, 779, 16431, 540, 2048, 1695, 15501, 320, 17483, 18814, 547, 713, 267, 2818, 540, 519, 6837, 5428, 7930, 8057, 513, 2091, 547, 1864, 269, 1924, 267, 646, 4646, 519, 9699, 16330, 6243, 5948, 282, 19416, 5191, 25881, 899, 13225, 698, 520, 19453, 543, 25941, 6652, 515, 330, 9618, 10897, 611, 8678, 621, 563, 1103, 476, 4572, 276, 267, 645, 1143, 559, 543, 1010, 13959, 12891, 17304, 336, 1638, 320, 16679, 4956, 547, 561, 2393, 513, 5721, 538, 918, 752, 9461, 2282, 24664, 852, 269, 1358, 941, 3811, 538, 741, 3801, 855, 941, 18486, 7258, 513, 18797, 824, 670, 6938, 2818, 1369, 513, 3923, 540, 519, 4323, 563, 763, 4693, 538, 519, 918, 752, 9461, 24242, 2013, 30992, 1864, 543, 1614, 824, 4838, 2456, 547, 581, 554, 6548, 11489, 2669, 269, 2755, 25778, 3022, 538, 21569, 267, 646, 4050, 2740, 1010, 26249, 1412, 298, 752, 9461, 3223, 32599, 515, 539, 262, 543, 519, 1381, 5152, 2048, 300, 5028, 681, 836, 632, 5178, 21468, 932, 7637, 8730, 799, 5170, 547, 1128, 650, 13348, 5328, 535, 969, 712, 538, 938, 12271, 11489, 4266, 563, 14367, 2063, 1913, 1247, 1373, 554, 6548, 538, 32020, 12112, 20580, 693, 519, 2085, 540, 476, 1789, 941, 968, 297, 2967, 13130, 6100, 1261, 729, 1212, 332, 730, 593, 519, 8492, 540, 5757, 681, 2194, 328, 543, 519, 3135, 729, 556, 577, 2077, 2989, 607, 14076, 717, 1002, 2663, 563, 28269, 10579, 715, 732, 526, 571, 3525, 328, 543, 1896, 824, 7381, 3401, 15422, 1010, 24279, 585, 519, 4182, 543, 6976, 1864, 741, 24744, 593, 12108, 563, 307, 1026, 2373, 547, 10548, 2398, 553, 611, 645, 1143, 559, 267, 12891, 17304, 336, 1638, 320, 16679, 1299, 14472, 7315, 19453, 267, 945, 941, 12004, 344, 1042, 593, 713, 1554, 269, 5272, 4095, 1121, 20047, 741, 12703, 15093, 563, 1765, 715, 732, 526, 571, 3525, 328, 31822, 333, 732, 526, 1090, 617, 328, 264, 5412, 476, 866, 267, 476, 1001, 274, 454, 2633, 483, 28440, 18892, 21999, 31073, 14098, 480, 23371, 18028, 499, 14098, 364, 21005, 1948, 18892, 14098, 362, 2633, 359, 31073, 28637, 14098, 355, 2633, 361, 18028, 372, 11695, 362, 18028, 366, 454, 2633, 506, 21005, 21999, 21005, 7162, 506, 2633, 363, 23517, 23371, 21005, 7162, 359, 18892, 7162, 357, 28440, 23547, 476, 5936, 353, 454, 307, 1026, 2373, 547, 1948, 305, 600, 303, 6652, 611, 289, 1143, 559, 593, 1010, 17510, 7788, 15208, 17552, 6745, 342, 7867, 2593, 15828, 16165, 272, 311, 312, 336, 304, 777, 454, 1765, 1488, 684, 26566, 1856, 344, 31822, 541, 684, 10937, 1856, 344, 264, 4873, 476, 1556, 267, 476, 1001, 280, 454, 2171, 2892, 1393, 12891, 17304, 336, 1638, 320, 16679, 267, 10548, 2398, 553, 611, 645, 1143, 559, 1299, 14472, 7315, 19453, 945, 14894, 539, 741, 2729, 585, 519, 5191, 540, 3127, 269, 17552, 6745, 342, 7867, 2593, 11486, 294, 272, 2177, 295, 339, 312, 7699, 454, 1765, 6837, 31822, 2562, 290, 19328, 264, 5412, 476, 866, 267, 476, 1001, 276, 454, 307, 1026, 2373, 547, 1390, 5191, 25881, 10548, 2398, 553, 611, 645, 1143, 559, 267, 14472, 7315, 19453, 1299, 12891, 17304, 336, 1638, 320, 16679, 593, 741, 15093, 1554, 269, 2171, 616, 967, 20623, 1540, 547, 873, 454, 1765, 590, 999, 327, 623, 4599, 16852, 31822, 338, 999, 327, 653, 4599, 16852, 264, 5412, 476, 866, 267, 476, 1001, 277, 454, 295, 558, 720, 547, 519, 1390, 4838, 2456, 10548, 2398, 553, 611, 645, 1143, 559, 267, 12891, 17304, 336, 1638, 320, 16679, 267, 14076, 754, 571, 715, 987, 700, 1695, 21105, 543, 774, 752, 584, 14472, 7315, 19453, 269, 6428, 1393, 547, 741, 10100, 543, 32742, 513, 27430, 6889, 10059, 2517, 339, 16691, 11486, 339, 343, 297, 296, 276, 326, 276, 11965, 22969, 30679, 6745, 342, 7867, 2593, 11486, 339, 343, 297, 296, 276, 326, 276, 11965, 454, 1765, 715, 1511, 523, 808, 785, 531, 31822, 6573, 301, 1511, 523, 297, 785, 531, 264, 5412, 476, 866, 267, 476, 1001, 279, 0, 26581, 7434, 8441, 723, 1044, 2404, 609, 1804, 8397, 2242, 538, 519, 1480, 8937, 22435, 543, 513, 2362, 11841, 540, 1950, 1480, 3676, 269, 25166, 843, 532, 519, 1480, 8937, 22435, 676, 13003, 532, 519, 2898, 8937, 15451, 2146, 689, 22881, 538, 1875, 8114, 12009, 7239, 949, 1267, 538, 513, 10565, 25314, 2255, 1063, 938, 4853, 1604, 15828, 604, 18887, 543, 519, 18577, 22435, 563, 28770, 3101, 2090, 2303, 602, 22454, 12948, 543, 1313, 27881, 32740, 26168, 24328, 630, 293, 21587, 1070, 1210, 519, 23700, 685, 1378, 22454, 5439, 6394, 693, 513, 7820, 2085, 950, 789, 616, 2068, 6954, 267, 949, 581, 513, 1732, 1107, 610, 693, 2547, 606, 4244, 1107, 3070, 269, 901, 5012, 547, 519, 2856, 540, 29915, 908, 519, 1480, 8937, 22435, 563, 763, 12497, 16726, 1063, 22454, 12948, 585, 1313, 27881, 674, 21587, 543, 10260, 1973, 12948, 585, 606, 1313, 27881, 13003, 10522, 519, 1761, 585, 29915, 908, 519, 1480, 8937, 22435, 563, 5649, 713, 2376, 602, 11828, 519, 8404, 267, 3156, 267, 23250, 267, 543, 2591, 540, 713, 3070, 269, 0, 1103, 476, 1220, 275, 19936, 4080, 519, 6602, 540, 513, 1804, 18347, 13355, 4541, 28835, 1360, 2673, 547, 519, 5182, 18074, 476, 9692, 280, 5392, 630, 1156, 576, 519, 2165, 968, 14653, 18347, 26158, 634, 10739, 729, 1175, 476, 272, 476, 280, 519, 3845, 540, 22358, 689, 938, 3141, 267, 543, 621, 3217, 519, 4541, 1152, 476, 274, 269, 6021, 2395, 547, 1118, 835, 10739, 630, 817, 25390, 547, 581, 9764, 1040, 630, 321, 264, 1215, 3728, 630, 514, 5998, 4882, 264, 568, 713, 4541, 3001, 888, 1607, 3381, 3070, 729, 5227, 676, 938, 21493, 607, 5363, 585, 519, 1966, 1657, 563, 24078, 713, 5363, 888, 22913, 3223, 16980, 781, 3689, 4521, 609, 513, 11116, 21092, 3381, 7778, 689, 18536, 16110, 0, 8702, 547, 938, 5729, 476, 274, 2985, 2336, 763, 2319, 568, 7323, 962, 919, 267, 7323, 9324, 2581, 267, 11427, 25832, 543, 11427, 590, 2801, 539, 563, 8702, 547, 5729, 476, 274, 779, 11354, 476, 273, 5035, 8525, 454, 1103, 713, 2034, 3368, 3856, 267, 649, 616, 1565, 827, 875, 2622, 2782, 4083, 12936, 593, 1272, 538, 938, 2199, 1858, 269, 3776, 6820, 27484, 568, 13458, 543, 18366, 563, 1103, 3778, 543, 538, 17323, 649, 786, 1451, 827, 519, 1764, 540, 519, 2112, 593, 667, 7568, 718, 268, 875, 22361, 20095, 1453, 941, 17355, 18050, 282, 519, 4609, 540, 519, 2701, 742, 1752, 2349, 6308, 282, 1141, 649, 1336, 606, 23257, 10757, 10514, 538, 667, 7568, 718, 282, 875, 6226, 476, 275, 7861, 800, 3576, 936, 2701, 742, 1752, 543, 1946, 2701, 742, 1752, 779, 4853, 2127, 941, 513, 3077, 585, 31196, 10514, 902, 563, 5978, 1565, 786, 5963, 2097, 547, 1272, 1985, 3368, 3856, 950, 972, 786, 581, 513, 1362, 3643, 547, 3798, 523, 8805, 3778, 7467, 538, 5689, 2023, 269, 1284, 723, 2016, 6266, 540, 5469, 585, 713, 543, 1129, 909, 3029, 543, 2628, 1793, 2354, 616, 1631, 2139, 1107, 2307, 952, 596, 723, 4503, 16523, 2336, 1103, 13174, 649, 786, 973, 777, 782, 519, 6310, 2093, 6026, 865, 2484, 543, 26821, 2053, 7515, 1107, 476, 274, 267, 476, 275, 543, 476, 279, 338, 1519, 6498, 5013, 269, 5753, 786, 581, 1565, 827, 1770, 543, 1875, 15492, 8454, 267, 9236, 543, 19280, 8454, 543, 1620, 6746, 2209, 543, 32159, 269, 1284, 786, 849, 581, 1565, 827, 13532, 543, 10101, 267, 7893, 2527, 543, 4466, 6697, 13999, 1210, 1747, 1871, 563, 9336, 1126, 814, 513, 21189, 585, 8648, 23959, 9412, 560, 1513, 543, 13174, 26577, 299, 269, 1403, 596, 723, 4503, 519, 2845, 1202, 5225, 1577, 519, 1362, 3610, 917, 563, 1103, 2296, 649, 786, 581, 1603, 513, 10388, 4062, 540, 1603, 713, 3368, 2165, 1759, 593, 513, 1297, 540, 5931, 827, 2622, 2782, 4083, 1107, 21555, 689, 14732, 7671, 267, 1483, 17355, 826, 525, 689, 667, 7568, 718, 282, 519, 23193, 543, 519, 1133, 545, 1941, 676, 1744, 597, 2917, 24806, 543, 1879, 1284, 21518, 2782, 19144, 676, 21877, 2961, 2651, 269, 1284, 786, 4952, 649, 616, 29053, 17355, 826, 525, 3843, 547, 22321, 938, 3993, 547, 1577, 721, 2097, 1753, 2336, 5978, 3883, 5530, 1257, 786, 581, 634, 4303, 519, 2782, 595, 877, 676, 12832, 7637, 5096, 625, 543, 1879, 649, 941, 2782, 19144, 676, 21877, 2961, 2651, 563, 1103, 3163, 267, 649, 786, 2263, 519, 851, 602, 5810, 1404, 538, 519, 1272, 4783, 540, 15496, 2371, 267, 1519, 26853, 267, 6079, 5250, 543, 6079, 29371, 269, 1284, 786, 849, 1865, 6992, 5314, 543, 26853, 269, 1284, 786, 8495, 519, 1259, 538, 799, 1216, 568, 16487, 1369, 2371, 676, 11287, 519, 6283, 1426, 7990, 532, 998, 513, 8768, 6565, 454, 14154, 786, 1294, 721, 2324, 593, 7619, 923, 1983, 543, 27590, 10415, 269, 7490, 4063, 602, 18027, 6539, 568, 513, 10750, 512, 6879, 7398, 267, 4158, 2110, 338, 610, 28185, 7970, 630, 7224, 27291, 5225, 264, 543, 30157, 610, 15450, 269, 5753, 1058, 2097, 21039, 538, 741, 18027, 20164, 593, 11728, 543, 13638, 563, 2412, 14509, 693, 1753, 815, 513, 4154, 11777, 585, 938, 1433, 3684, 563, 20091, 2835, 786, 581, 4957, 593, 2605, 12156, 269, 2353, 1453, 786, 991, 547, 3142, 741, 1433, 9126, 538, 593, 2605, 12156, 543, 666, 1491, 1753, 513, 2542, 1433, 543, 513, 1153, 5399, 1433, 563, 8702, 547, 11354, 476, 272, 454, 1607, 3368, 3856, 5956, 609, 22893, 1222, 10432, 1141, 5729, 476, 274, 786, 581, 2519, 593, 16445, 532, 543, 519, 2360, 713, 814, 593, 519, 1604, 269, 1284, 786, 581, 1603, 513, 10388, 4484, 547, 519, 2146, 540, 667, 7568, 718, 7713, 1946, 649, 1058, 22120, 543, 1413, 1310, 938, 4541, 563, 5978, 2518, 6249, 713, 2165, 568, 12655, 4886, 543, 649, 786, 1413, 693, 519, 7521, 540, 5533, 543, 812, 13402, 9552, 5288, 2470, 779, 9552, 543, 799, 568, 2348, 519, 1034, 1764, 593, 4541, 3047, 563, 12626, 543, 3883, 5530, 454, 1103, 2296, 649, 786, 581, 4974, 519, 1433, 2048, 306, 784, 540, 519, 667, 20462, 514, 15196, 685, 676, 10906, 700, 1515, 323, 543, 1210, 713, 1433, 547, 3391, 938, 1565, 540, 1603, 606, 4830, 2239, 693, 519, 1439, 540, 519, 2165, 269, 1284, 786, 581, 3168, 693, 2934, 540, 513, 2239, 543, 26821, 1210, 891, 1369, 938, 1378, 960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18257, 692, 9377, 514, 597, 796, 27008, 320, 3545, 574, 1304, 334, 3890, 6446, 547, 1889, 19448, 30458, 632, 562, 14243, 1067, 657, 4283, 657, 552, 791, 3234, 320, 796, 3097, 7290, 6945, 320, 679, 3288, 20562, 718, 320, 269, 661, 329, 6374, 334, 281, 3545, 574, 1304, 334, 8443, 275, 267, 476, 280, 267, 476, 278, 8079, 632, 828, 17144, 791, 3234, 597, 3138, 521, 580, 340, 1304, 324, 1384, 7052, 454, 11960, 20330, 7052, 1262, 22177, 18411, 3698, 3545, 574, 1304, 334, 17338, 320, 2187, 825, 585, 1775, 538, 30458, 912, 1038, 1820, 9217, 2608, 1412, 343, 17210, 4289, 320, 815, 1496, 6078, 267, 10844, 267, 10463, 316, 1038, 454, 2889, 1027, 574, 1304, 334, 17338, 320, 994, 0, 3698, 1205, 318, 974, 600, 318, 9953, 687, 263, 15161, 267, 3178, 284, 271, 2187, 825, 512, 815, 834, 834, 2608, 3178, 454, 825, 1820, 6600, 262, 346, 339, 348, 21093, 2319, 3681, 585, 281, 2715, 15161, 348, 5073, 825, 952, 630, 6352, 263, 15161, 264, 2652, 476, 272, 2187, 1038, 2319, 318, 9953, 687, 17342, 314, 15161, 314, 271, 14963, 316, 3097, 1038, 1820, 6600, 262, 346, 339, 348, 18744, 835, 1268, 269, 4825, 9506, 2319, 3681, 281, 2715, 974, 600, 318, 9953, 687, 348, 5073, 1038, 2132, 2319, 318, 9953, 687, 454, 825, 1004, 6831, 4878, 815, 1004, 6983, 4878, 4590, 825, 1268, 815, 1004, 6831, 4878, 21014, 4590, 825, 1820, 6600, 262, 346, 339, 348, 16954, 6244, 1268, 281, 2715, 17367, 348, 5073, 825, 1820, 6600, 262, 346, 339, 348, 21430, 25276, 1289, 609, 6967, 1592, 281, 2715, 15161, 6831, 4878, 348, 5073, 825, 1016, 318, 974, 600, 318, 9953, 687, 815, 1205, 318, 974, 600, 318, 9953, 687, 263, 15161, 6831, 4878, 267, 3178, 266, 272, 994, 825, 1820, 6600, 262, 346, 339, 348, 27987, 689, 25276, 1289, 281, 2715, 11357, 318, 974, 600, 318, 9953, 687, 348, 5073, 825, 2319, 318, 9953, 687, 815, 11713, 825, 585, 1016, 318, 974, 600, 318, 641, 5406, 538, 1016, 318, 974, 600, 318, 9953, 687, 912, 1038, 1820, 6600, 262, 346, 339, 348, 23005, 1456, 3681, 547, 1039, 2715, 17367, 348, 547, 281, 2715, 11357, 318, 974, 600, 318, 641, 5406, 348, 5073, 1038, 1948, 12287, 1223, 1205, 3773, 607, 741, 1378, 2319, 454, 1038, 2319, 318, 641, 5406, 815, 1016, 318, 974, 600, 318, 641, 5406, 6983, 4878, 4590, 1038, 2319, 318, 641, 5406, 6910, 9638, 3205, 994, 1038, 1820, 6600, 262, 346, 339, 348, 29002, 4781, 1141, 1268, 568, 593, 741, 1378, 2319, 281, 2715, 974, 600, 318, 641, 5406, 348, 5073, 1038, 2319, 318, 9953, 687, 6910, 263, 974, 600, 318, 641, 5406, 994, 1038, 1948, 12287, 1223, 1205, 3773, 547, 1022, 540, 519, 4540, 6887, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 4433, 889, 318, 974, 600, 318, 641, 5406, 15892, 2018, 2319, 318, 641, 5406, 815, 1016, 318, 974, 600, 318, 641, 5406, 6983, 4878, 4590, 2018, 1820, 6600, 262, 346, 339, 348, 29002, 1268, 547, 2319, 281, 2715, 974, 600, 318, 641, 5406, 5157, 316, 348, 5073, 2018, 2319, 318, 641, 5406, 5157, 316, 815, 2319, 318, 641, 5406, 5157, 316, 1341, 1268, 454, 2018, 2319, 318, 9953, 687, 6910, 263, 974, 600, 318, 641, 5406, 994, 825, 2132, 2319, 318, 9953, 687, 692, 15161, 815, 22373, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 323, 31116, 974, 4461, 815, 1205, 318, 974, 600, 318, 9953, 687, 263, 15161, 994, 2745, 6600, 1405, 324, 4461, 281, 2715, 974, 4461, 348, 5073, 2745, 6600, 1405, 324, 4461, 2450, 281, 2715, 6352, 263, 974, 4461, 14587, 10807, 0, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 3698, 1599, 3287, 2187, 825, 2132, 16733, 277, 20080, 268, 273, 264, 1262, 273, 12684, 12639, 4732, 514, 263, 1321, 20080, 268, 275, 2020, 3698, 3113, 6958, 15635, 6025, 1856, 2187, 825, 1535, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 272, 267, 1911, 994, 825, 586, 815, 1599, 3287, 994, 825, 12301, 19502, 3287, 11971, 267, 524, 815, 1412, 321, 5073, 825, 12301, 26644, 19304, 6025, 1856, 4917, 825, 12301, 11859, 16932, 3488, 343, 2418, 5073, 825, 12301, 269, 29786, 3488, 344, 2418, 17210, 3698, 2518, 14682, 2784, 1304, 5091, 27853, 263, 30976, 267, 21767, 267, 13672, 2187, 825, 1535, 815, 3355, 3097, 825, 1267, 815, 1535, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 21767, 2187, 1038, 13506, 815, 535, 318, 18905, 3287, 994, 1038, 1247, 13506, 3436, 476, 271, 269, 9826, 610, 13506, 2999, 910, 271, 269, 9826, 912, 2018, 1535, 20699, 630, 10401, 2608, 13506, 994, 2018, 13506, 815, 535, 318, 18905, 3287, 994, 1038, 952, 1599, 3287, 264, 2999, 1599, 31114, 2187, 2018, 1267, 815, 1535, 454, 1038, 1535, 815, 5286, 20179, 20179, 4590, 825, 2132, 1267, 3097, 22322, 3698, 6079, 539, 318, 29514, 14682, 2784, 1304, 5091, 27853, 10031, 825, 1267, 815, 11713, 825, 13672, 815, 476, 271, 269, 1822, 272, 454, 825, 21767, 815, 476, 1911, 3097, 825, 585, 1775, 538, 2039, 263, 272, 267, 4029, 2187, 1038, 5286, 20179, 269, 23092, 9217, 994, 1038, 1535, 815, 5286, 20179, 20179, 4590, 1038, 1535, 815, 2518, 14682, 2784, 1304, 5091, 27853, 3287, 267, 21767, 267, 13672, 994, 1038, 1267, 6910, 3287, 994, 825, 2132, 1267, 8528, 343, 318, 9953, 815, 6079, 539, 318, 29514, 14682, 2784, 1304, 5091, 27853, 4590, 344, 318, 9953, 815, 1496, 10818, 16325, 264, 585, 1003, 538, 1535, 318, 9953, 2639, 10823, 31892, 2660, 3287, 318, 9953, 267, 586, 318, 9953, 267, 524, 815, 1412, 337, 3299, 15262, 815, 1412, 343, 5073, 23054, 6958, 15635, 3488, 23804, 2518, 5934, 1210, 27240, 1304, 2677, 1417, 5073, 10823, 20481, 4590, 0, 5035, 2871, 612, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2262, 2187, 1038, 1582, 269, 572, 4038, 17504, 815, 2262, 454, 1038, 1582, 3052, 340, 612, 539, 2419, 1513, 815, 11713, 1038, 1582, 8542, 636, 307, 1845, 815, 476, 271, 454, 1038, 1582, 269, 9690, 1805, 9850, 815, 18358, 318, 262, 585, 1775, 538, 2039, 12759, 27182, 4297, 6540, 825, 1219, 4159, 4311, 2187, 1038, 1820, 2891, 14483, 2433, 14307, 1412, 8339, 21860, 4311, 269, 9690, 1805, 9850, 4917, 1038, 1820, 2891, 5825, 539, 3197, 281, 14307, 22207, 29717, 21860, 4311, 3052, 340, 612, 539, 2419, 1513, 4917, 1038, 1820, 2891, 307, 1845, 2433, 14307, 1582, 8542, 636, 307, 1845, 2020, 825, 1219, 7058, 4311, 267, 1915, 2187, 1038, 1582, 3052, 340, 612, 539, 2419, 1513, 6910, 263, 30726, 994, 1038, 952, 711, 630, 30726, 538, 1582, 269, 572, 4038, 17504, 2187, 2018, 1582, 8542, 636, 307, 1845, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 585, 1775, 538, 2039, 12759, 4311, 269, 572, 4038, 17504, 15892, 3546, 952, 1582, 269, 572, 4038, 17504, 5157, 316, 2652, 1915, 912, 7386, 1642, 1582, 269, 9690, 1805, 9850, 5157, 2639, 7386, 1582, 269, 9690, 1805, 9850, 27044, 9217, 267, 1915, 2020, 1038, 952, 1412, 8339, 21860, 4311, 269, 9690, 1805, 9850, 264, 2652, 1582, 269, 572, 4038, 17504, 912, 2018, 2132, 6936, 0, 258, 476, 271, 3445, 276, 29030, 503, 498, 10563, 484, 490, 425, 498, 482, 425, 488, 372, 424, 505, 357, 424, 500, 368, 29030, 498, 482, 423, 350, 506, 32510, 507, 425, 488, 372, 21844, 367, 376, 32510, 506, 454, 258, 29030, 492, 503, 425, 484, 510, 423, 355, 361, 424, 500, 376, 21844, 369, 361, 17432, 502, 422, 372, 364, 563, 258, 910, 272, 10563, 507, 376, 423, 499, 490, 10563, 351, 483, 423, 352, 490, 454, 258, 10563, 507, 490, 424, 486, 502, 14602, 376, 14091, 499, 494, 286, 10563, 510, 499, 424, 486, 502, 32174, 478, 10563, 499, 482, 21498, 494, 14091, 499, 494, 2496, 333, 815, 476, 271, 692, 325, 659, 815, 476, 272, 692, 6112, 562, 11203, 910, 272, 1384, 825, 562, 815, 703, 9272, 2891, 32510, 499, 424, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 269, 2433, 834, 11723, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 795, 815, 1775, 266, 272, 454, 1038, 1795, 2608, 284, 795, 692, 825, 952, 562, 2652, 910, 272, 912, 1038, 2736, 692, 825, 952, 562, 2999, 910, 272, 912, 1038, 1820, 2891, 424, 500, 495, 14602, 502, 10563, 510, 499, 424, 486, 502, 32174, 478, 10563, 499, 482, 21498, 503, 21498, 486, 30319, 23528, 1038, 3136, 692, 825, 1820, 2891, 260, 323, 256, 815, 4939, 323, 257, 4939, 263, 333, 267, 325, 659, 11723, 825, 1795, 815, 476, 272, 454, 0, 258, 2690, 31230, 454, 307, 293, 815, 476, 272, 692, 258, 15542, 3645, 25276, 1599, 454, 3698, 5517, 3645, 263, 2399, 267, 737, 2187, 825, 952, 737, 2652, 476, 271, 912, 1038, 2132, 1249, 454, 825, 2132, 5517, 3645, 263, 2399, 2608, 737, 267, 737, 910, 476, 272, 2020, 258, 10852, 1599, 454, 6112, 570, 293, 912, 825, 562, 815, 703, 9272, 2891, 11767, 1297, 562, 281, 27328, 825, 678, 815, 703, 9272, 2891, 11767, 1297, 678, 281, 27328, 825, 952, 678, 285, 333, 912, 1038, 678, 19885, 815, 562, 267, 337, 454, 1038, 1820, 2891, 4219, 562, 15010, 337, 267, 678, 15010, 333, 5602, 825, 952, 562, 13843, 476, 271, 543, 678, 13843, 476, 271, 912, 1038, 1820, 2891, 333, 24979, 2433, 14307, 703, 263, 15542, 3645, 263, 272, 19885, 19422, 15542, 3645, 263, 272, 267, 337, 12684, 15542, 3645, 263, 272, 19885, 8573, 4297, 4917, 825, 3116, 912, 1038, 1820, 2891, 32510, 499, 424, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 368, 424, 352, 376, 424, 482, 372, 424, 504, 498, 32405, 1038, 570, 293, 284, 271, 0, 258, 10563, 507, 368, 423, 355, 482, 21844, 369, 511, 424, 500, 368, 10563, 502, 479, 424, 500, 368, 10563, 486, 502, 17432, 503, 14602, 482, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 424, 499, 482, 10563, 368, 507, 32510, 494, 29030, 493, 487, 422, 371, 510, 476, 17432, 503, 32510, 494, 14602, 482, 21844, 369, 361, 17432, 502, 32629, 498, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 454, 4067, 815, 3403, 3488, 27338, 423, 355, 482, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 30386, 330, 528, 815, 703, 9272, 3488, 422, 369, 511, 424, 500, 368, 10563, 482, 365, 32510, 479, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 1412, 4917, 1263, 815, 703, 9272, 3488, 424, 502, 479, 424, 500, 368, 10563, 482, 365, 32510, 479, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 1412, 4917, 3901, 815, 703, 9272, 3488, 424, 486, 502, 17432, 503, 10563, 482, 365, 32510, 479, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 1412, 4917, 339, 582, 815, 737, 528, 1341, 1266, 1341, 1319, 454, 822, 326, 815, 10581, 6025, 582, 1315, 476, 274, 994, 326, 6113, 815, 1412, 424, 486, 502, 262, 952, 630, 822, 326, 13843, 476, 3445, 264, 3116, 26444, 8587, 1412, 424, 504, 364, 262, 952, 630, 822, 326, 13843, 476, 3199, 264, 3116, 26444, 8587, 1412, 423, 363, 372, 262, 952, 630, 822, 326, 13843, 476, 3583, 264, 3116, 26444, 8587, 1412, 424, 500, 495, 262, 952, 630, 822, 326, 13843, 476, 2568, 264, 3116, 1412, 32174, 478, 28847, 2745, 6600, 262, 346, 4067, 348, 1315, 2715, 330, 528, 348, 1315, 2715, 1263, 348, 1315, 2715, 3901, 348, 1315, 2715, 339, 582, 348, 1315, 2715, 822, 326, 15545, 273, 325, 348, 1315, 2715, 326, 6113, 348, 5073, 0, 258, 21844, 367, 482, 424, 480, 364, 422, 372, 364, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 692, 3698, 2780, 10031, 825, 1003, 272, 815, 703, 9272, 3488, 424, 366, 360, 423, 366, 486, 424, 356, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 29125, 825, 1566, 815, 3403, 3488, 272, 269, 14091, 491, 356, 424, 483, 486, 476, 273, 269, 423, 374, 482, 424, 483, 486, 476, 274, 269, 422, 367, 365, 424, 483, 486, 476, 275, 269, 423, 480, 502, 423, 486, 501, 424, 483, 486, 1422, 333, 7055, 25639, 1412, 29306, 364, 424, 480, 364, 28990, 494, 423, 354, 376 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6249, 540, 2484, 28878, 4164, 26090, 2516, 538, 519, 3243, 549, 5174, 822, 4115, 8473, 1633, 269, 2368, 1883, 1568, 949, 1331, 1384, 265, 1261, 574, 17010, 13153, 667, 617, 19907, 781, 834, 291, 773, 5899, 644, 331, 327, 1993, 560, 773, 613, 257, 9497, 763, 5899, 644, 331, 327, 1993, 17778, 8442, 910, 1305, 1996, 519, 20457, 540, 2022, 8862, 310, 296, 21499, 267, 713, 3209, 7710, 4798, 540, 3961, 267, 3965, 267, 543, 10362, 998, 922, 24575, 540, 1585, 3197, 10188, 519, 31341, 6681, 2797, 2916, 563, 265, 9478, 681, 1054, 781, 834, 20238, 28856, 330, 2096, 1513, 577, 257, 9497, 763, 7101, 1115, 5652, 4728, 8442, 910, 713, 5929, 3209, 2488, 606, 6946, 17855, 540, 519, 670, 11274, 7921, 7276, 781, 7771, 267, 15700, 2390, 2152, 540, 14017, 267, 32742, 267, 543, 18541, 563, 265, 18379, 553, 2052, 31899, 781, 834, 291, 773, 2349, 754, 2426, 257, 9497, 8505, 334, 1673, 320, 6363, 2946, 8442, 910, 513, 30237, 673, 3209, 602, 3091, 24146, 16555, 593, 519, 7214, 2113, 24586, 540, 954, 8705, 21499, 267, 5466, 2055, 540, 10178, 1738, 1143, 543, 16809, 780, 2171, 786, 5659, 891, 5931, 5702, 267, 6236, 875, 789, 2992, 543, 16472, 519, 8739, 27791, 1604, 540, 519, 942, 1247, 849, 2502, 538, 13354, 2079, 1063, 873, 269, 5015, 267, 649, 786, 1865, 519, 4589, 262, 10080, 267, 18144, 267, 543, 7506, 547, 1732, 1174, 519, 2081, 538, 799, 3332, 666, 4196, 607, 1312, 11604, 543, 10404, 540, 2486, 780, 7656, 269, 8836, 19043, 281, 17912, 267, 3203, 267, 543, 8535, 454, 2414, 2417, 10802, 938, 1353, 267, 649, 786, 8495, 519, 6041, 540, 2484, 28878, 4164, 26090, 2516, 538, 1875, 2000, 3438, 776, 3029, 540, 2923, 267, 1519, 4670, 267, 1148, 267, 543, 2575, 269, 6206, 3344, 540, 713, 3296, 1522, 1331, 1384, 265, 5811, 540, 8874, 899, 7812, 670, 2033, 651, 781, 834, 763, 6519, 25906, 2548, 2437, 799, 9607, 519, 5072, 540, 3673, 1143, 538, 840, 8862, 310, 2862, 5125, 676, 3695, 1379, 6384, 543, 1514, 25327, 538, 513, 1507, 8498, 563, 265, 22410, 540, 3308, 1148, 4773, 602, 6813, 1272, 896, 519, 14692, 540, 4164, 26090, 3310, 267, 971, 607, 1346, 2813, 676, 5159, 2404, 609, 519, 3026, 826, 590, 778, 28727, 651, 527, 3350, 563, 265, 27148, 540, 7574, 11964, 543, 5322, 6766, 676, 519, 2797, 2916, 540, 519, 942, 267, 1519, 4082, 626, 15885, 543, 9348, 15756, 8964, 2565, 540, 6392, 5515, 780, 3528, 4974, 891, 3309, 7499, 7215, 267, 649, 2832, 547, 9787, 519, 15491, 2081, 538, 799, 5159, 7722, 609, 543, 15527, 547, 519, 4527, 540, 2484, 28878, 4164, 26090, 2516, 538, 519, 3243, 549, 5174, 822, 4115, 8473, 1633, 780, 4353, 269, 12634, 22627, 281, 16497, 3231, 2740, 543, 12694, 4653, 454, 7661, 267, 649, 786, 2015, 519, 10083, 540, 938, 4681, 547, 4207, 9840, 4478, 18541, 267, 17119, 1143, 267, 543, 8473, 6214, 269, 14301, 4296, 1063, 2250, 543, 1459, 267, 649, 786, 2307, 6000, 1384, 265, 1215, 798, 2413, 3864, 7239, 20920, 609, 23543, 540, 10795, 18541, 888, 265, 1548, 616, 519, 1761, 4220, 540, 759, 4026, 550, 2484, 28878, 27742, 2221, 888, 265, 1215, 666, 3332, 543, 1148, 948, 721, 6330, 1950, 1914, 19205, 8916, 2496, 4322, 5717, 786, 5000, 596, 547, 1589, 9691, 827, 519, 5571, 6286, 540, 1686, 543, 519, 5539, 540, 5640, 267, 5159, 267, 543, 4961, 7567, 547, 13720, 17119, 1143, 543, 22166, 780, 9961, 713, 1576, 1770, 267, 596, 786, 581, 4397, 547, 8362, 7119, 538, 1362, 5717, 267, 2347, 8655, 2542, 267, 2328, 10763, 3594, 267, 543, 5838, 5711, 14245, 269, 2659, 3803, 1788, 786, 4125, 10647, 4830, 1382, 593, 513, 1888, 1644, 547, 519, 1576, 1570, 267, 28285, 538, 513, 8101, 1957, 610, 3860, 6881, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 294, 745, 2041, 267, 18238, 269, 1323, 2271, 571, 9539, 1049, 27079, 1633, 281, 13636, 4762, 26555, 1299, 10500, 514, 885, 21661, 519, 3243, 549, 5174, 822, 4115, 27079, 267, 476, 4489, 279, 268, 4198, 276, 269, 11785, 5441, 267, 4972, 540, 3778, 269, 20180, 528, 281, 8061, 514, 744, 269, 623, 31789, 267, 12832, 1961, 631, 269, 16202, 517, 267, 8210, 514, 681, 269, 670, 5255, 2006, 269, 5147, 476, 1708, 273, 269, 17593, 912, 1607, 12031, 2090, 519, 9316, 543, 6735, 1851, 1585, 1318, 26310, 4164, 4106, 2456, 538, 519, 25878, 13980, 540, 4436, 18702, 2342, 269, 3733, 960, 16765, 5281, 32616, 673, 267, 7658, 1670, 6386, 602, 1095, 2541, 1022, 2484, 1922, 697, 4436, 17119, 1143, 20244, 5921, 968, 1492, 4473, 540, 9294, 1143, 1848, 5502, 267, 594, 7866, 513, 1950, 24463, 540, 2484, 28878, 4164, 26090, 2367, 267, 4171, 14336, 10662, 547, 543, 15180, 1845, 609, 1142, 824, 14251, 730, 609, 13346, 32638, 8658, 2066, 835, 540, 519, 1034, 29653, 543, 26093, 10665, 538, 954, 8705, 2342, 269, 9182, 267, 1250, 1382, 2164, 1930, 1007, 7399, 585, 12497, 1944, 19979, 14206, 10601, 8473, 4133, 607, 31827, 711, 1175, 689, 3486, 7526, 855, 849, 689, 12499, 5991, 1049, 1102, 18017, 269, 3474, 7056, 3202, 2367, 593, 1630, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11123, 292, 22218, 700, 20315, 308, 17803, 29898, 1315, 4436, 1315, 22341, 9085, 543, 9177, 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 ]
[ 12457, 267, 1875, 31475, 28351, 13733, 269, 590, 1663, 1375, 880, 1166, 4536, 267, 711, 1644, 547, 20203, 610, 23226, 269, 30038, 15611, 15495, 540, 3618, 19095, 563, 9915, 4488, 22494, 23370, 31304, 303, 3582, 16514, 4436, 595, 1442, 25209, 476, 1321, 268, 1428, 7825, 630, 3849, 738, 8609, 264, 300, 573, 547, 4158, 6960, 1560, 269, 3267, 645, 18443, 27392, 476, 736, 268, 1789, 7825, 1279, 269, 4563, 609, 1585, 25549, 13164, 8151, 454, 28893, 1242, 26006, 27392, 267, 670, 312, 294, 268, 18891, 275, 268, 9032, 8525, 476, 273, 540, 476, 275, 3267, 1677, 519, 2150, 11712, 3750, 267, 606, 589, 295, 289, 5654, 1175, 899, 1022, 824, 9932, 13520, 267, 827, 476, 274, 270, 279, 268, 547, 476, 272, 270, 273, 20878, 1279, 269, 1717, 2676, 289, 2465, 5600, 3143, 269, 476, 273, 901, 13520, 2777, 1374, 568, 585, 1004, 945, 1616, 1945, 513, 2370, 3787, 1362, 344, 267, 3267, 476, 279, 10759, 3178, 1034, 2693, 269, 4534, 3220, 650, 4534, 7043, 16590, 11353, 538, 1028, 9285, 7306, 563, 300, 1783, 27392, 853, 3863, 338, 13624, 29794, 476, 272, 269, 12338, 5986, 533, 1105, 618, 630, 328, 4318, 269, 32083, 1070, 14589, 610, 4739, 1957, 267, 883, 476, 279, 268, 272, 270, 273, 1535, 476, 1556, 268, 10759, 9212, 269, 674, 1245, 883, 2185, 2195, 543, 2759, 883, 10116, 6810, 563, 293, 11902, 28132, 12239, 5442, 306, 17614, 23370, 31304, 303, 16739, 10691, 292, 281, 3267, 23516, 7749, 704, 910, 20099, 3335, 476, 272, 270, 279, 547, 476, 272, 270, 273, 10759, 269, 7043, 12209, 4371, 17895, 6438, 936, 519, 1560, 269, 3267, 645, 18443, 27392, 910, 670, 8543, 267, 4429, 312, 3641, 329, 871, 1115, 3040, 20661, 616, 9625, 272, 270, 273, 10759, 1279, 3040, 4563, 1560, 609, 10058, 5835, 24795, 3040, 22458, 1652, 1560, 3040, 16376, 16793, 824, 7786, 543, 20151, 454, 32575, 519, 10987, 593, 519, 16968, 968, 18794, 519, 22062, 566, 827, 7111, 2142, 525, 3267, 13520, 666, 581, 1360, 3362, 3267, 568, 1152, 476, 273, 269, 271, 6515, 630, 12671, 476, 272, 270, 1626, 628, 540, 606, 10759, 264, 1279, 563, 295, 24535, 312, 645, 7417, 9517, 28718, 293, 2975, 9569, 14160, 308, 2464, 11832, 10987, 616, 476, 272, 270, 273, 10759, 1279, 282, 15596, 13520, 568, 3677, 543, 10355, 2938, 5247, 1314, 568, 6960, 543, 27967, 609, 24827, 17737, 568, 6960, 609, 5835, 610, 4429, 19465, 513, 27392, 670, 633, 281, 634, 670, 633, 645, 3672, 9736, 2421, 15537, 661, 269, 570, 559, 10458, 3267, 2759, 1079, 2427, 4773, 476, 866, 268, 278, 270, 279, 892, 1279, 543, 1079, 1439, 3267, 1879, 2347, 519, 1688, 3180, 786, 581, 476, 272, 270, 273, 10759, 2620, 563, 5472, 9932, 13520, 10125, 616, 7768, 540, 1614, 5641, 525, 281, 513, 15596, 267, 1896, 4627, 19025, 543, 689, 476, 1789, 267, 1822, 547, 476, 2004, 267, 1822, 4600, 269, 3267, 898, 3800, 827, 476, 274, 270, 279, 268, 547, 476, 272, 270, 273, 20878, 1279, 563, 732, 827, 476, 276, 270, 279, 10759, 1279, 267, 4544, 15918, 871, 267, 3267, 27392, 5095, 666, 11385, 622, 13497, 689, 835, 4005, 547, 3267, 14086, 2142, 525, 1299, 16140, 715, 20535, 12984, 1186, 454, 30311, 301, 5442, 306, 4488, 4811, 281, 1215, 547, 6513, 23067, 476, 274, 269, 543, 519, 575, 16421, 616, 2282, 519, 2627, 269, 2060, 513, 838, 1228, 267, 2759, 1614, 5011, 3267, 14986, 932, 29195, 910, 634, 27134, 568, 476, 272, 270, 273, 10759, 1279, 543, 568, 5835, 880, 454, 290, 2752, 303, 7728, 2207, 18688, 2464, 2473, 2643, 665, 30249, 20424, 3821, 3267, 645, 18443, 32048, 616, 1804, 1514, 10987, 476, 272, 270, 273, 547, 476, 272, 10759, 1279, 267, 609, 3109, 543, 5835, 610, 267, 3267, 835, 10759, 2620, 267, 519, 13520, 7140, 693, 1318, 7285, 4429, 3080, 25569, 5871, 24538, 338, 540, 1715, 6792, 6424, 645, 269, 6762, 2006, 272, 267, 8349, 589, 269, 590, 9801, 1633, 273, 267, 543, 4168, 962, 269, 744, 3553, 334, 274, 8080, 547, 519, 3791, 7160, 540, 968, 3080, 25569, 454, 31359, 3835, 543, 23305, 2961, 335, 10938, 13520, 19309, 883, 3574, 3267, 476, 272, 476, 272, 270, 273, 10759, 8006, 6679, 5012, 883, 606, 21933, 1664, 15993, 602, 3267, 1452, 729, 1186, 616, 1279, 543, 28795, 454, 19136, 27392, 623, 11286, 744, 23615, 17920, 700, 2894, 294, 8025, 630, 288, 264, 32764, 4041, 667, 8656, 269, 630, 289, 264, 654, 2839, 8025, 630, 290, 264, 8946, 27912, 26614, 20573, 264, 3267, 5685, 5109, 1315, 4521, 333, 631, 1077, 2349, 3547, 269, 20668, 616, 711, 3312, 3937, 2694, 543, 616, 711, 23032, 267, 7192, 454, 30395, 2659, 13574, 27392, 23392, 12025, 281, 14066, 30975, 281, 11628, 1684, 707, 851, 585, 4683, 25199, 676, 2679, 513, 3267, 2422, 476, 277, 10759, 1279, 16590, 11353, 952, 2009, 269, 476, 1015, 563, 320, 8038, 602, 20998, 513, 9932, 13520, 269, 1452, 476, 274, 270, 275, 10759, 1279, 17642, 880, 16793, 616, 1114, 689, 824, 8038, 4012, 326, 1824, 538, 2348, 513, 476, 272, 270, 273, 10759, 1279, 834, 18571, 257, 602, 568, 1031, 607, 513, 7244, 454, 289, 18443, 27392, 26006, 27392, 3267, 6168, 476, 273, 270, 274, 10759, 1279, 12769, 31531, 1628, 3267, 835, 609, 873, 950, 538, 2127, 1141, 588, 15781, 7786, 949, 581, 1459, 454, 15100, 299, 785, 344, 779, 12928, 1080, 543, 700, 2167, 267, 476, 1001, 272, 269, 645, 699, 339, 538, 27392, 853, 3558, 962, 7568, 281, 853, 3558, 13780, 9509, 744, 685, 2701, 788, 630, 1911, 260, 3131, 12320, 1014, 26741, 1070, 476, 275, 476, 271, 345, 1107, 4114, 269, 476, 9264, 13452, 10261, 956, 281, 476, 1626, 10759, 9764, 4429, 10521, 10348, 3590, 2986, 26006, 27392, 2051, 3415, 5004, 18919, 302, 312, 291, 661, 269, 17834, 21822, 2207, 267, 1382, 1303, 558, 6048, 267, 27392, 5004, 543, 9980, 558, 1108, 3194, 267, 16581, 3194, 6796, 2676, 10111, 335, 10938, 2142, 525, 2473, 2643, 665, 30249, 3267, 2961, 335, 10938, 10987, 540, 519, 12593, 2473, 2643, 665, 30249, 616, 1804, 3109, 543, 5835, 7786, 827, 835, 10759, 1279, 602, 3267, 2961, 335, 10938, 13520, 2249, 540, 513, 4429, 12648, 519, 29097, 856, 540, 9036, 3002, 269, 634, 476, 1240, 268, 630, 3393, 278, 269, 273, 268, 264, 543, 476, 1789, 20878, 630, 278, 7830, 2173, 332, 264, 31687, 520, 27392, 11655, 8415, 5230, 1673, 14280, 4853, 3334, 543, 606, 3608, 5179, 547, 608, 32558, 622, 454, 10111, 335, 10938, 2142, 525, 593, 21561, 538, 3267, 2961, 335, 10938, 13520, 20097, 723, 9985, 5180, 267, 476, 272, 270, 273, 20878, 8006, 3267, 2356, 3670, 268, 547, 5722, 2987, 2583, 1279, 267, 855, 949, 581, 3476, 269, 634, 4775, 13520, 4429, 21760, 281, 14117, 543, 3109, 23426, 281, 7605, 755, 267, 24814, 12025, 281, 476, 382, 373, 22397, 482, 273, 1107, 476, 272, 10759, 1279, 16323, 281, 5853, 2429, 519, 772, 2529, 269, 19532, 1157, 6465, 306, 281, 2961, 335, 10938, 2142, 525, 454, 298, 27848, 2290, 12989, 27392, 853, 3558, 476, 277, 10759, 3625, 10049, 281, 476, 272, 12063, 10782, 539, 2597, 20612, 267, 2450, 476, 278, 19271, 10011, 593, 476, 2641, 610, 1022, 9642, 1297, 3267, 12928, 527, 2394, 519, 3625, 3800, 476, 277, 892, 1279, 563, 17746, 2315, 19672, 6489, 337, 3187, 18479, 27392, 19648, 676, 1849, 858, 18724, 2284, 267, 7284, 656, 1695, 984, 2421, 2593, 3267, 12338, 476, 274, 1507, 4773, 540, 6775, 11746, 5111, 476, 274, 6279, 1279, 543, 476, 272, 10759, 2647, 563, 23813, 2464, 267, 654, 3008, 4916, 6730, 670, 3036, 20911, 4811, 3267, 1358, 616, 4552, 344, 7786, 267, 827, 476, 272, 270, 273, 10759, 1279, 267, 3267, 26681, 1826, 540, 13520, 568, 2693, 547, 29097, 269, 12984, 1186, 1299, 24125, 1115, 454, 17647, 19618, 10759, 17684, 16060, 3267, 645, 21587, 815, 3828, 20071, 9539, 583, 12814, 476, 276, 815, 631, 276, 700, 815, 7043, 11354, 645, 21587, 5937, 815, 3828, 20071, 9539, 583, 12814, 263, 272, 270, 273, 892, 5394, 264, 3267, 19305, 715, 7491, 1299, 10434, 2264, 454, 289, 2465, 7195, 332, 3933, 731, 320, 1705, 2096, 320, 27392, 2545, 332, 9428, 476, 273, 268, 275, 3952, 7381, 543, 814, 3267, 634, 476, 275, 10759, 1279, 3762, 2049, 538, 627, 528, 3149, 2630, 519, 5580, 5810, 855, 616, 6587, 540, 1142, 824, 454, 24078, 1186, 267, 14117, 329, 871, 1115, 267, 543, 24125, 1115, 5517, 16847, 3143, 269, 476, 866, 3267, 9737, 476, 271, 269, 275, 543, 476, 271, 269, 279, 2600, 540, 3425, 616, 13027, 547, 1514, 729, 335, 543, 13520, 29086, 3267, 827, 476, 272, 270, 273, 10759, 1279, 267, 4429, 273, 270, 2918, 270, 1321, 476, 273, 10934, 540, 2475, 26006, 27392, 30495, 15724, 1588, 3267, 476, 272, 10759, 1279, 543, 890, 320, 6438, 269, 22500, 568, 513, 24609, 539, 1850, 2541, 10540, 3502, 5227, 585, 16246, 4563, 16511, 755, 454, 12564, 590, 3278, 543, 7698, 476, 273, 16547, 548, 4825, 1549, 543, 3267, 3962, 2985, 540, 713, 16945, 17048, 10525, 519, 2139, 3334, 540, 1142, 3267, 630, 1321, 538, 269, 2647, 1535, 476, 6344, 538, 269, 1279, 264, 4429, 295, 2292, 630, 320, 5131, 27392, 264, 476, 272, 717, 879, 613, 476, 276, 588, 338, 547, 606, 10759, 609, 10782, 539, 2597, 20612, 11729, 513, 476, 274, 269, 276, 892, 1279, 27392, 543, 513, 476, 276, 2108, 7381, 554, 633, 269, 717, 879, 613, 3085, 1405, 2731, 2339, 607, 1279, 607, 519, 5958, 568, 454, 3849, 6699, 543, 16793, 540, 519, 1507, 554, 633, 27134, 616, 1336, 538, 3742, 13520, 32105, 543, 6740, 13520, 3937, 3267, 855, 1034, 616, 5111, 476, 274, 270, 1626, 10759, 1279, 543, 476, 273, 270, 274, 3376, 607, 1279, 563, 1607, 568, 513, 4605, 540, 1312, 519, 476, 274, 270, 279, 10759, 543, 476, 26528, 10759, 2156, 2851, 4429, 288, 968, 333, 1075, 892, 4216, 267, 799, 568, 10416, 513, 1507, 554, 633, 1560, 12926, 1031, 585, 15596, 556, 2130, 543, 1818, 10943, 1080, 267, 814, 2484, 811, 3096, 982, 519, 2012, 10522, 563, 26244, 2358, 2107, 577, 731, 28224, 2142, 525, 1703, 568, 513, 2182, 11529, 13520, 1572, 519, 834, 300, 1783, 27392, 257, 602, 1082, 540, 596, 949, 6999, 547, 1412, 571, 1047, 8339, 1411, 798, 711, 991, 547, 2226, 513, 554, 633, 267, 6862, 798, 596, 991, 4429, 514, 577, 1279, 267, 609, 588, 719, 267, 3109, 4703, 6825, 609, 12457, 610, 3043, 13164, 269, 27951, 3864, 18057, 1115, 1332, 909, 547, 835, 10759, 1279, 267, 23401, 9649, 454, 382, 373, 22397, 482, 273, 10759, 1279, 16323, 281, 5853, 538, 14151, 267, 4993, 267, 8419, 267, 7147, 267, 21600, 267, 1715, 6792, 543, 20274, 3267, 13520, 24010, 1590, 2232, 606, 3979, 1242, 13520, 23588, 563, 13757, 3592, 476, 1911, 2249, 540, 891, 13520, 268, 3267, 476, 273, 20878, 17489, 264, 16793, 269, 4495, 3043, 575, 16421, 3914, 519, 3791, 2987, 28588, 1272, 3942, 267, 789, 616, 811, 2352, 547, 1852, 609, 519, 1007, 4429, 295, 2562, 4811, 9215, 670, 5085, 303, 21832, 645, 7417, 298, 7417, 303, 8991, 3267, 519, 1279, 7475, 540, 519, 3084, 14604, 543, 519, 824, 6292, 267, 609, 3267, 519, 476, 273, 10759, 269, 18969, 563, 8867, 2378, 7410, 616, 909, 547, 476, 276, 270, 279, 10759, 1279, 543, 476, 272, 270, 273, 10759, 2647, 269, 23516, 2280, 19114, 616, 29656, 1583, 3603, 693, 519, 1283, 269, 3267, 4563, 3053, 568, 10694, 547, 513, 3099, 540, 7786, 269, 0, 5415, 982, 513, 1906, 2584, 9582, 3906, 616, 7255, 827, 519, 7934, 1063, 519, 1983, 789, 1265, 538, 519, 2816, 32358, 7535, 543, 1018, 519, 1870, 1158, 2731, 2115, 269, 5502, 540, 1175, 6158, 827, 2257, 543, 4702, 2069, 543, 13781, 2115, 267, 1382, 5238, 267, 9945, 543, 4213, 616, 2319, 532, 909, 547, 2709, 1053, 3255, 547, 2259, 741, 1983, 538, 1483, 8996, 5468, 543, 8300, 14182, 781, 8030, 563, 26536, 885, 971, 607, 9466, 543, 14151, 3557, 616, 5356, 834, 1952, 29736, 257, 5232, 538, 4702, 602, 1628, 12352, 609, 3549, 543, 11753, 1587, 1646, 6030, 883, 741, 3292, 269, 4975, 2160, 540, 1715, 3840, 814, 2919, 606, 14021, 3946, 6823, 1982, 585, 922, 10927, 543, 15938, 1053, 693, 922, 4741, 585, 30677, 11576, 532, 543, 24919, 267, 14102, 676, 8331, 563, 18662, 338, 616, 849, 8744, 538, 811, 2872, 10529, 543, 11000, 3464, 269, 769, 5437, 476, 1220, 278, 267, 519, 27878, 1723, 548, 12443, 23855, 1664, 632, 8053, 28584, 531, 18799, 634, 8838, 923, 1299, 7353, 9582, 24573, 584, 658, 22544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9717, 2338, 1535, 543, 562, 267, 1141, 562, 568, 513, 1379, 540, 476, 273, 267, 3097, 258, 1820, 856, 519, 10545, 2789, 540, 562, 799, 568, 3152, 982, 610, 3160, 547, 1535, 269, 3097, 258, 1684, 711, 946, 6498, 610, 1110, 25222, 11346, 780, 5814, 19523, 692, 258, 1930, 3758, 609, 26893, 5498, 1706, 730, 1592, 540, 9981, 454, 3698, 3758, 318, 13449, 10031, 825, 1948, 1205, 538, 719, 3758, 2012, 607, 4971, 1899, 4661, 454, 825, 538, 18316, 815, 19523, 27769, 341, 314, 272, 2639, 825, 1948, 1930, 3403, 3758, 454, 825, 1449, 6831, 1162, 815, 1930, 263, 514, 18316, 267, 834, 337, 5602, 825, 2132, 1449, 6831, 1162, 692, 258, 1265, 9803, 2789, 540, 1535, 3152, 982, 562, 454, 3698, 2789, 263, 514, 11415, 2187, 825, 1948, 6460, 5569, 540, 26893, 5498, 1706, 730, 1193, 883, 1592, 540, 703, 338, 454, 825, 538, 4289, 815, 1496, 842, 16216, 778, 264, 585, 1142, 538, 1128, 2590, 21858, 2891, 2437, 22708, 825, 1267, 815, 538, 4289, 314, 272, 2639, 825, 1247, 31114, 2999, 538, 4289, 314, 271, 316, 2187, 1038, 1267, 6834, 538, 4289, 314, 272, 2639, 825, 1820, 31114, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 1930, 3758, 454, 825, 3758, 815, 3758, 318, 13449, 4590, 825, 1948, 30185, 936, 1142, 1899, 540, 3758, 543, 2196, 1599, 454, 825, 585, 4737, 538, 3758, 912, 1038, 2789, 21405, 994, 825, 1948, 2673, 3758, 454, 825, 3758, 25379, 3890, 0, 258, 9258, 519, 1931, 540, 513, 4845, 692, 5814, 19523, 692, 3698, 3758, 318, 13449, 10031, 825, 1948, 1205, 538, 719, 3758, 2012, 607, 4971, 1899, 4661, 454, 825, 538, 18316, 815, 19523, 27769, 341, 314, 272, 2639, 825, 1948, 1930, 3403, 3758, 454, 825, 1449, 6831, 1162, 815, 1930, 263, 514, 18316, 267, 834, 337, 5602, 825, 2132, 1449, 6831, 1162, 692, 258, 535, 2863, 542, 602, 10941, 525, 519, 1931, 540, 1913, 538, 513, 5569, 454, 3698, 9258, 5334, 27542, 30415, 17750, 2187, 825, 607, 8217, 815, 11713, 825, 1948, 6460, 5569, 883, 1592, 676, 24590, 1913, 883, 2609, 454, 825, 607, 8217, 815, 5569, 17750, 21858, 4590, 825, 1948, 9258, 519, 1931, 540, 519, 1592, 454, 825, 607, 8217, 18622, 2091, 4590, 825, 1948, 6460, 20328, 1592, 883, 513, 5569, 454, 825, 2847, 23952, 815, 834, 834, 269, 21860, 263, 553, 8217, 994, 825, 1820, 263, 516, 341, 23952, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 1930, 3758, 454, 825, 3758, 815, 3758, 318, 13449, 4590, 825, 1948, 621, 4733, 936, 1142, 1899, 540, 3758, 454, 825, 585, 1899, 538, 3758, 912, 1038, 1948, 952, 1899, 568, 8900, 267, 18178, 454, 1038, 952, 711, 1899, 14714, 8692, 10031, 2018, 3136, 454, 1038, 1948, 6382, 267, 2196, 1599, 454, 1038, 3116, 912, 2018, 9258, 5334, 27542, 263, 1467, 994, 825, 3758, 25379, 4590, 0, 5814, 19523, 692, 6919, 8266, 26073, 815, 834, 907, 270, 12606, 338, 270, 5320, 4289, 17902, 4840, 531, 8224, 815, 1412, 336, 342, 1068, 344, 340, 11340, 553, 4206, 724, 329, 9383, 345, 343, 29764, 16818, 332, 281, 3890, 11277, 27174, 4281, 280, 271, 282, 28847, 3698, 8900, 6958, 7528, 4293, 10031, 453, 325, 516, 336, 815, 31460, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 263, 531, 8224, 15892, 453, 453, 325, 516, 336, 314, 531, 8224, 5157, 14963, 815, 476, 271, 692, 16596, 1954, 336, 692, 3698, 12451, 30415, 2187, 453, 325, 516, 336, 815, 8900, 6958, 7528, 4293, 10797, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 30415, 15892, 453, 453, 325, 516, 336, 314, 11415, 5157, 14963, 6834, 476, 272, 692, 16596, 1954, 336, 692, 3698, 1319, 7815, 27182, 2187, 453, 5320, 293, 7528, 4293, 815, 12451, 27182, 2020, 22592, 6474, 5416, 17504, 2187, 453, 453, 325, 15968, 815, 12451, 5416, 17504, 2020, 453, 453, 322, 815, 1412, 7055, 453, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 263, 531, 8224, 15892, 4848, 453, 322, 815, 9904, 5157, 6540, 4848, 14851, 2262, 293, 7528, 4293, 314, 322, 316, 11203, 4908, 314, 322, 14158, 15235, 16596, 8771, 692, 453, 16596, 6936, 692, 16596, 6474, 692, 3698, 1292, 27182, 267, 9598, 2187, 453, 332, 325, 815, 1319, 7815, 27182, 994, 453, 3901, 2583, 815, 29129, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 5560, 1112, 15892, 453, 14851, 544, 325, 5560, 1112, 5157, 316, 2187, 4848, 453, 3901, 2583, 6910, 5560, 1112, 5157, 20285, 16596, 13292, 692, 258, 3367, 519, 1913, 1592, 883, 513, 1592, 454, 6919, 8266, 815, 1496, 1467, 14714, 8692, 3890, 585, 1899, 538, 1930, 263, 6919, 8266, 26073, 267, 834, 337, 8442, 6540, 14140, 26855, 2163, 815, 19523, 27769, 341, 314, 272, 2639, 2675, 1090, 16940, 24552, 815, 1101, 26855, 2163, 21858, 28361, 333, 17210, 14310, 815, 834, 4840, 1721, 2262, 538, 26545, 16940, 24552, 912, 453, 14310, 6834, 1292, 27182, 267, 1913, 8266, 25011, 271, 316, 1341, 834, 2437, 692, 2745, 1267, 692, 0, 5814, 13483, 29411, 274, 692, 5035, 31287, 24998, 2187, 825, 8173, 825, 3115, 637, 757, 606, 9441, 269, 3962, 9441, 814, 519, 1739, 10305, 454, 825, 2012, 912, 825, 8257, 912, 825, 14057, 281, 3097, 825, 936, 5503, 281, 8870, 8204, 519, 2179, 519, 9441, 4991, 829, 5662, 540, 936, 5503, 960, 563, 825, 14057, 318, 5793, 1998, 281, 5569, 835, 540, 281, 11545, 267, 13600, 569, 269, 3115, 637, 757, 519, 8884, 693, 799, 454, 7386, 519, 9441, 11392, 14057, 563, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 9041, 573, 2187, 1038, 1582, 269, 573, 815, 9041, 573, 454, 1038, 1582, 269, 8181, 14813, 334, 10797, 825, 1219, 2332, 14813, 334, 4311, 2187, 1038, 1582, 269, 1478, 5503, 327, 2293, 267, 1345, 6155, 904, 11274, 550, 267, 1345, 6155, 904, 30005, 267, 1345, 6230, 4394, 267, 1345, 269, 1042, 344, 4370, 267, 1345, 269, 5979, 753, 815, 476, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 454, 1038, 1582, 269, 1478, 339, 574, 788, 599, 267, 1582, 6745, 4973, 335, 599, 2073, 1345, 6230, 4394, 267, 1582, 269, 1042, 344, 4370, 267, 1345, 269, 7538, 335, 599, 267, 1345, 269, 611, 9330, 815, 476, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 454, 1038, 609, 13483, 29411, 274, 269, 6618, 3488, 11687, 273, 6155, 321, 10807, 607, 598, 333, 912, 2018, 3227, 11907, 815, 598, 333, 20216, 31146, 2891, 3269, 572, 937, 834, 11391, 4067, 2580, 8257, 267, 25084, 267, 14057, 267, 834, 15680, 776, 842, 14824, 3269, 454, 4449, 7386, 5727, 834, 1478, 339, 574, 4733, 257, 689, 5520, 1141, 3227, 573, 815, 2433, 573, 3269, 2580, 346, 262, 573, 9166, 1345, 269, 573, 348, 994, 2018, 2119, 912, 3546, 1582, 269, 5979, 753, 815, 598, 333, 20216, 31146, 3488, 572, 937, 2179, 689, 10211, 611, 3286, 906, 1141, 3227, 573, 815, 2433, 573, 3299, 27835, 573, 9166, 1345, 269, 573, 348, 1040, 325, 21255, 821, 3890, 314, 271, 2639, 3546, 952, 1582, 269, 5979, 753, 2652, 7183, 912, 7386, 1582, 269, 5979, 753, 815, 476, 271, 454, 2018, 4849, 912, 3546, 1582, 269, 5979, 753, 815, 476, 271, 454, 1038, 1582, 20508, 267, 1582, 6155, 788, 3477, 267, 1582, 6155, 30472, 566, 267, 1582, 4732, 531, 776, 267, 1582, 4732, 531, 776, 318, 5793, 1998, 267, 1582, 269, 1478, 339, 574, 4733, 815, 3227, 11907, 8807, 21255, 821, 3890, 567, 692, 825, 1219, 1305, 16920, 754, 766, 291, 1112, 4311, 267, 3923, 267, 1032, 284, 1001, 280, 2187, 1038, 8173, 1038, 17776, 513, 9598, 8204, 519, 20343, 540, 519, 9441, 454, 1038, 585, 519, 2016, 3923, 10774, 2788, 270, 20204, 269, 1141, 519, 1883, 4016, 547, 519, 3097, 1038, 547, 519, 1554, 543, 519, 1871, 3294, 568, 519, 512, 6269, 548, 8204, 4567, 630, 303, 267, 275, 264, 630, 288, 267, 271, 264, 3092, 454, 1038, 5727, 8931, 1038, 609, 13483, 29411, 274, 269, 6618, 3488, 11687, 273, 6155, 321, 10807, 607, 598, 333, 912, 2018, 20343, 815, 598, 333, 20216, 31146, 3488, 572, 937, 4567, 2437, 1478, 5503, 1740, 539, 2580, 11845, 689, 20343, 1141, 3227, 573, 284, 281, 573, 543, 4266, 899, 2433, 11845, 1931, 676, 4266, 10841, 3299, 346, 262, 573, 9166, 1345, 269, 573, 267, 1412, 11845, 9166, 325, 257, 346, 20204, 18511, 346, 24629, 18511, 260, 257, 348, 994, 1038, 1582, 269, 3430, 754, 766, 815, 2715, 3430, 314, 273, 13912, 263, 3430, 314, 271, 3910, 3430, 314, 272, 8079, 585, 1140, 538, 20343, 8807, 21255, 718, 3890, 8679, 4449, 454, 825, 1219, 1305, 16920, 754, 766, 295, 2788, 4311, 267, 3923, 267, 3368, 284, 271, 267, 1032, 284, 1001, 280, 2187, 1038, 8173, 1038, 901, 1599, 11226, 519, 9819, 540, 519, 23269, 540, 5520, 4171, 14057, 568, 7229, 593, 513, 3232, 4493, 563, 1038, 3923, 281, 842, 263, 273, 7857, 6041, 540, 3923, 476, 4905, 268, 1321, 994, 1038, 3368, 281, 842, 630, 271, 610, 476, 272, 994, 1038, 8173, 1038, 609, 13483, 29411, 274, 269, 6618, 3488, 11687, 273, 6155, 321, 10807, 607, 598, 333, 912, 2018, 952, 1582, 6155, 788, 3477, 2652, 834, 303, 3174, 13426, 3546, 2119, 912, 7386, 1582, 6230, 4394, 815, 598, 333, 20216, 31146, 3488, 572, 937, 7397, 689, 2504, 1141, 3227, 573, 284, 281, 573, 543, 3923, 284, 281, 24629, 543, 3368, 284, 281, 327, 2788, 3299, 346, 262, 573, 9166, 1345, 269, 573, 267, 1412, 24629, 9166, 24629, 267, 1412, 327, 2788, 9166, 327, 2788, 348, 1040, 325, 21255, 821, 3890, 314, 271, 2639, 3546, 4849, 912, 7386, 1582, 6230, 4394, 815, 476, 271, 454, 3546, 2119, 912, 7386, 1582, 269, 1042, 344, 4370, 815, 598, 333, 20216, 31146, 3488, 572, 937, 2699, 344, 4370, 689, 2504, 1141, 3227, 573, 284, 281, 573, 543, 3923, 284, 281, 24629, 543, 3368, 284, 281, 327, 2788, 3299, 346, 262, 573, 9166, 1345, 269, 573, 267, 1412, 24629, 9166, 24629, 267, 1412, 327, 2788, 9166, 327, 2788, 348, 1040, 325, 21255, 821, 3890, 314, 271, 2639, 3546, 4849, 912, 7386, 1582, 269, 1042, 344, 4370, 815, 476, 271, 3097, 4449, 8931, 2018, 952, 3368, 2652, 476, 271, 912, 3546, 1582, 6155, 904, 30005, 815, 598, 333, 20216, 31146, 3488, 572, 937, 1293, 28949, 264, 689, 20343, 18040, 16730, 4567, 815, 834, 303, 257, 543, 4266, 899, 2433, 24629, 543, 4266, 10922, 2433, 323, 520, 601, 574, 527, 543, 3227, 573, 815, 2433, 573, 3299, 346, 262, 24629, 9166, 325, 257, 346, 20204, 18511, 346, 24629, 18511, 260, 2580, 262, 323, 520, 601, 574, 527, 9166, 325, 257, 346, 20204, 18511, 346, 24629, 18511, 1428, 2580, 262, 573, 9166, 1345, 269, 573, 348, 1040, 325, 21255, 821, 3890, 314, 271, 2639, 3546, 1582, 269, 1478, 5503, 327, 2293, 815, 598, 333, 20216, 31146, 3488, 572, 937, 590, 9331, 2891, 1478, 5503, 1740, 539, 8442, 689, 20343, 18040, 16730, 4266, 899, 2433, 24629, 543, 4266, 10922, 2433, 323, 520, 601, 574, 527, 543, 3227, 573, 815, 2433, 573, 3299, 346, 262, 24629, 9166, 325, 257, 346, 20204, 18511, 346, 24629, 18511, 260, 2580, 262, 323, 520, 601, 574, 527, 9166, 325, 257, 346, 20204, 18511, 346, 24629, 18511, 1428, 2580, 262, 573, 9166, 1345, 269, 573, 348, 1040, 325, 21255, 821, 3890, 314, 271, 2639, 3546, 1582, 6155, 904, 11274, 550, 815, 598, 333, 20216, 31146, 3488, 572, 937, 1293, 28949, 264, 689, 20343, 18040, 16730, 4567, 815, 834, 288, 257, 543, 4266, 899, 2433, 24629, 543, 4266, 10922, 2433, 323, 520, 601, 574, 527, 543, 3227, 573, 815, 2433, 573, 3299, 346, 262, 24629, 9166, 325, 257, 346, 20204, 18511, 346, 24629, 18511, 260, 2580, 262, 323, 520, 601, 574, 527, 9166, 325, 257, 346, 20204, 18511, 346, 24629, 18511, 1428, 2580, 262, 573, 9166, 1345, 269, 573, 348, 1040, 325, 21255, 821, 3890, 314, 271, 2639, 3546, 5727, 2119, 912, 7386, 1582, 269, 5979, 753, 815, 598, 333, 20216, 31146, 3488, 572, 937, 2179, 689, 10211, 611, 3286, 906, 1141, 3227, 573, 815, 2433, 573, 3299, 27835, 573, 9166, 1345, 269, 573, 348, 1040, 325, 21255, 821, 3890, 314, 271, 2639, 7386, 952, 1582, 269, 5979, 753, 2652, 7183, 912, 13376, 1582, 269, 5979, 753, 815, 476, 271, 454, 3546, 4849, 912, 7386, 1582, 269, 5979, 753, 815, 476, 271, 8173, 2018, 8640, 3368, 2652, 476, 272, 912, 3546, 1582, 6155, 904, 30005, 815, 598, 333, 20216, 31146, 3488, 572, 937, 1293, 28949, 264, 689, 20343, 18040, 16730, 4567, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 3539, 11641, 7786, 538, 25418, 281, 519, 17293, 540, 17178, 268, 1597, 558, 23402, 24516, 339, 1231, 607, 6915, 514, 4167, 15969, 10422, 652, 2494, 698, 2233, 269, 476, 1001, 280, 9484, 282, 476, 4037, 263, 280, 2567, 25838, 278, 268, 28192, 276, 10422, 300, 454, 8967, 3187, 9006, 1682, 616, 1950, 3114, 19070, 1023, 602, 2270, 513, 3638, 3099, 540, 5521, 20141, 13802, 269, 1717, 267, 519, 2101, 25560, 1362, 538, 1082, 17178, 9006, 1682, 568, 771, 5285, 728, 11656, 30902, 1634, 607, 24516, 339, 1231, 269, 634, 24516, 1540, 1614, 8820, 16784, 540, 891, 9910, 3491, 974, 1231, 2488, 873, 609, 11108, 3114, 543, 8143, 6617, 607, 1134, 607, 4187, 547, 2926, 1162, 269, 769, 4334, 609, 824, 6915, 514, 4167, 15969, 267, 799, 616, 1419, 3500, 19840, 532, 267, 17178, 24516, 339, 1231, 616, 3728, 19840, 532, 5778, 1729, 343, 1231, 269, 769, 1840, 547, 1373, 1494, 1836, 5521, 20141, 267, 930, 24516, 339, 1231, 723, 11108, 3454, 21978, 2824, 2032, 267, 1373, 24037, 547, 1883, 6694, 10860, 855, 21030, 6681, 547, 30900, 543, 6225, 7786, 971, 607, 10987, 269, 634, 17271, 5711, 2534, 540, 891, 30902, 267, 5916, 609, 519, 2702, 540, 27829, 1242, 24516, 339, 1231, 547, 23309, 5521, 838, 4275, 3380, 267, 814, 13087, 873, 547, 581, 2919, 20749, 607, 10357, 7888, 6915, 514, 4167, 15969, 269, 5047, 267, 621, 814, 1044, 7152, 602, 17178, 10275, 2254, 339, 514, 1098, 2102, 525, 666, 581, 1031, 547, 11653, 5488, 19840, 532, 1303, 558, 13771, 11077, 543, 5521, 15033, 7031, 269, 9736, 476, 1001, 280, 5980, 540, 11906, 12752, 269, 0, 300, 8568, 9668, 568, 519, 1184, 540, 19459, 3334, 540, 23399, 676, 1210, 22197, 547, 4482, 6419, 2326, 269, 634, 1184, 602, 568, 1031, 585, 6419, 9668, 1033, 2851, 1875, 332, 8568, 1570, 609, 1346, 945, 616, 6419, 269, 901, 4480, 568, 3730, 585, 711, 782, 267, 855, 1906, 6886, 971, 607, 7542, 11424, 2326, 9244, 4299, 676, 6419, 4610, 543, 4164, 8568, 2326, 602, 616, 1447, 7476, 12313, 454, 1805, 821, 11493, 2030, 568, 849, 1572, 4224, 11493, 2030, 267, 799, 568, 519, 3318, 4853, 3684, 547, 24807, 5070, 543, 10007, 269, 898, 568, 5631, 7768, 540, 31954, 28680, 267, 10265, 8302, 267, 1764, 8302, 2676, 306, 663, 1818, 2030, 666, 1184, 513, 3099, 540, 7725, 267, 1178, 12069, 543, 25865, 7632, 883, 1585, 7306, 540, 4070, 5070, 563, 30874, 18654, 2030, 568, 849, 1572, 2656, 18654, 2030, 267, 18654, 2504, 2030, 543, 14680, 2504, 1899, 269, 898, 568, 9280, 609, 10427, 3937, 267, 799, 814, 7123, 543, 6325, 5106, 563, 763, 2376, 15109, 519, 1374, 540, 6419, 3021, 2209, 585, 9668, 540, 4401, 935, 8877, 32340, 269, 667, 11163, 540, 519, 9668, 4398, 540, 519, 4494, 11098, 540, 519, 19459, 1570, 454, 292, 4471, 345, 16959, 4400, 2271, 3748, 27824, 3047, 24305, 25080, 9484, 541, 1807, 1547, 2060, 519, 2479, 2810, 3747, 585, 1164, 335, 12053, 3049, 560, 4169, 1031, 538, 5663, 267, 661, 4471, 345, 3091, 922, 16959, 4400, 2271, 3748, 27824, 3047, 24305, 25080, 9484, 541, 2209, 269, 1452, 1683, 5021, 4398, 538, 519, 9668, 540, 4617, 6419, 5536, 585, 1587, 22729, 3156, 563, 300, 8568, 3220, 636, 9484, 541, 1807, 17266, 331, 9707, 1230, 3272, 528, 25028, 25080, 12197, 2271, 3290, 476, 5611, 876, 14899, 1547, 8605, 8984, 1547, 476, 272, 269, 634, 3684, 568, 14463, 1547, 476, 273, 269, 28546, 585, 6151, 1570, 540, 2462, 10286, 563, 300, 8568, 9668, 568, 519, 1184, 540, 19459, 3334, 540, 23399, 676, 1210, 22197, 547, 4482, 6419, 2326, 269, 634, 1184, 602, 568, 1031, 585, 6419, 9668, 1033, 2851, 1875, 332, 8568, 1570, 609, 1346, 945, 616, 6419, 269, 901, 4480, 568, 3730, 585, 711, 782, 267, 855, 1906, 6886, 971, 607, 7542, 11424, 2326, 9244, 4299, 676, 6419, 4610, 543, 4164, 8568, 2326, 602, 616, 1447, 454, 1321, 331, 9707, 25028, 25080, 9484, 541, 1807, 269, 1520, 2779, 720, 634, 1297, 540, 6106, 568, 3773, 547, 519, 2596, 6240, 540, 519, 12966, 23740, 269, 769, 519, 1184, 540, 4401, 8851, 267, 519, 1570, 568, 14578, 11275, 1227, 4299, 267, 543, 519, 1198, 540, 4401, 8851, 568, 22541, 269, 14066, 6419, 2627, 1858, 267, 2178, 6419, 3196, 267, 1279, 1272, 267, 2241, 2497, 2676, 300, 1725, 1115, 616, 513, 3844, 4494, 540, 8878, 585, 4914, 4703, 8851, 538, 1184, 6080, 269, 476, 274, 269, 11633, 25080, 9484, 9653, 1548, 616, 519, 6419, 3021, 1807, 1374, 2139, 3509, 8628, 11275, 1374, 6818, 267, 2705, 267, 1152, 1906, 540, 873, 616, 2731, 3730, 538, 1184, 6080, 269, 13804, 564, 1374, 2422, 454, 300, 8568, 3021, 2209, 17908, 519, 3017, 538, 6419, 3601, 1063, 519, 6886, 538, 513, 16005, 543, 616, 1031, 547, 13404, 513, 3407, 7777, 602, 568, 6419, 552, 3052, 1421, 11275, 924, 689, 21247, 267, 547, 4894, 6419, 17694, 267, 610, 547, 5094, 23399, 540, 6419, 543, 1875, 332, 8568, 3407, 6886, 269, 1323, 1383, 540, 519, 8545, 568, 519, 17646, 321, 8960, 454, 7246, 294, 20911, 12087, 590, 7968, 2752, 9569, 1607, 568, 1759, 593, 3604, 538, 6419, 3601, 540, 519, 7626, 3334, 269, 1403, 519, 7626, 5536, 616, 6419, 543, 519, 1875, 332, 8568, 1570, 568, 32364, 2426, 996, 529, 1505, 568, 1031, 563, 763, 5872, 540, 519, 3773, 6419, 5452, 609, 519, 16600, 325, 710, 17735, 17571, 538, 519, 16894, 547, 1106, 6419, 1166, 665, 338, 8309, 547, 4028, 11159, 566, 543, 9668, 676, 513, 6419, 3021, 1807, 19358, 1696, 620, 1421, 476, 1001, 278, 12390, 1696, 620, 1421, 476, 1001, 277, 269, 634, 4999, 540, 3114, 13247, 543, 6419, 1166, 665, 27218, 2029, 949, 7753, 519, 28919, 540, 454, 300, 8568, 3021, 2209, 666, 581, 1336, 538, 1034, 7777, 4393, 4238, 267, 2523, 1346, 4393, 1875, 5471, 28351, 6886, 543, 6419, 22714, 269, 901, 2376, 27180, 519, 946, 540, 1164, 8515, 6419, 3021, 2209, 543, 6419, 9668, 3937, 538, 519, 6886, 5823, 609, 513, 1445, 593, 4393, 3819, 2326, 538, 519, 476, 1428, 7825, 267, 476, 3393, 25050, 2450, 2039, 563, 292, 4471, 345, 32719, 550, 25080, 9484, 541, 2209, 2154, 1100, 3167, 1379, 269, 2060, 1697, 1416, 267, 789, 666, 2063, 513, 10715, 609, 1360, 2370, 2530, 540, 2361, 4222, 269, 8564, 661, 4471, 345, 32719, 550, 25080, 9484, 541, 2209, 616, 2139, 609, 519, 2473, 339, 3153, 11555, 278, 25080, 18065, 519, 2872, 4375, 338, 16999, 11275, 7490, 7227, 1247, 649, 5531, 707, 2164, 269, 16674, 14295, 16466, 25080, 9484, 541, 1807, 563, 277, 299, 9707, 25028, 25080, 9484, 541, 1807, 269, 4985, 634, 8628, 6419, 12966, 6419, 3021, 1807, 568, 7768, 540, 513, 1164, 6419, 4686, 24160, 715, 323, 8722, 289, 6419, 3625, 543, 7542, 1679, 6419, 3625, 267, 799, 814, 1164, 6419, 2361, 4222, 269, 634, 4162, 540, 6419, 2361, 616, 1360, 2620, 543, 616, 711, 2653, 547, 1629, 24599, 1436, 563, 310, 564, 25080, 9484, 541, 1807, 269, 634, 667, 902, 290, 13702, 9116, 4400, 2271, 3748, 22911, 7392, 4427, 1067, 3022, 25028, 25080, 9484, 541, 1807, 568, 2966, 585, 6632, 3021, 725, 269, 898, 814, 1336, 2647, 3498, 538, 519, 5834, 540, 11275, 924, 267, 24924, 5443, 924, 267, 543, 824, 2326, 540, 2147, 6419, 18687, 1141, 621, 3947, 606, 5863, 569, 2973, 12827, 9668, 540, 2766, 902, 267, 544, 1342, 13530, 267, 543, 30211, 563, 1607, 2582, 4494, 12966, 23740, 6419, 3021, 1807, 3684, 568, 1031, 585, 4393, 21688, 1091, 1706, 267, 21247, 5070, 335, 32535, 267, 15229, 267, 15181, 3327, 267, 6229, 11353, 267, 31756, 269, 634, 8737, 2472, 616, 4922, 4294, 454, 22261, 476, 273, 267, 476, 1001, 276, 26257, 6419, 3021, 1807, 269, 6423, 811, 2093, 827, 13804, 1115, 563, 763, 3819, 6419, 3021, 1807, 568, 513, 6419, 18689, 2747, 3684, 585, 18570, 3819, 6419, 6886, 269, 898, 568, 2523, 5078, 585, 519, 19459, 11275, 924, 267, 7510, 337, 9071, 582, 924, 267, 887, 8463, 7626, 267, 24924, 5443, 924, 543, 824, 2326, 609, 513, 9325, 2450, 540, 476, 274, 7825, 610, 1447, 267, 849, 4294, 585, 8851, 540, 4401, 689, 5755, 267, 1875, 5471, 28351, 6886, 267, 2679, 2326, 543, 824, 2326, 563, 23044, 2557, 25080, 3021, 2209, 1685, 1655, 950, 519, 12526, 568, 4843, 547, 519, 2627, 540, 519, 3021, 1807, 269, 898, 568, 1655, 547, 2824, 513, 6419, 3021, 1807, 12122, 602, 2488, 585, 513, 6094, 11411, 3178, 11098, 540, 519, 1570, 4494, 936, 610, 896, 519, 11275, 547, 2327, 602, 519, 11275, 786, 723, 519, 1655, 454, 300, 8568, 9484, 9653, 1284, 1118, 8628, 25080, 9484, 9653, 16811, 585, 1022, 3498, 267, 5078, 585, 3592, 1022, 2872, 269, 19045, 24544, 23850, 547, 6895, 8904, 325, 539, 2472, 267, 13969, 5597, 24829, 2326, 593, 26797, 267, 18041, 15559, 543, 1793, 584, 1845, 538, 12992, 269, 7698, 30047, 16811, 589, 1804, 1899, 1575, 540, 1570, 7829, 3937, 585, 519, 27822, 267, 19045, 853, 2086, 532, 267, 1773, 10415, 543, 5253, 6080, 563, 276, 4494, 6419, 9668, 476, 6344, 876, 14899, 476, 1839, 12613, 585, 918, 288, 5357, 2562, 4393, 1899, 1547, 476, 272, 269, 25115, 9274, 3049, 539, 883, 519, 5023, 540, 519, 6419, 3046, 4216, 269, 1879, 519, 7777, 5536, 979, 998, 922, 8628, 6419, 3046, 538, 513, 6419, 4216, 267, 519, 6419, 2326, 11943, 538, 519, 7777, 9274, 616, 12842, 593, 519, 3046, 1317, 540, 519, 6419, 3196, 563, 300, 8568, 9668, 568, 513, 11684, 4480, 1031, 538, 3732, 7041, 585, 10368, 3483, 269, 1280, 971, 3498, 267, 606, 5007, 6419, 2361, 568, 4294, 547, 5397, 519, 9668, 540, 3077, 11769, 552, 3052, 269, 4551, 267, 8290, 267, 15495, 543, 2860, 2281, 689, 513, 1950, 6151, 3732, 538, 1931, 547, 8897, 519, 7766, 4247, 585, 2068, 5868, 563, 6701, 1411, 18391, 585, 589, 13693, 656, 286, 0, 13200, 365, 3627, 654, 269, 27508, 454, 267, 18947, 4856, 22046, 550, 1923, 4989, 476, 1789, 267, 476, 1001, 279, 454, 6781, 3175, 3096, 5122, 1648, 693, 513, 2837, 540, 909, 547, 476, 9610, 5232, 547, 6633, 2476, 12970, 538, 519, 2634, 543, 824, 6213, 2127, 269, 634, 1966, 568, 602, 519, 1152, 1259, 585, 513, 18874, 547, 2070, 519, 5650, 568, 676, 2921, 1246, 5346, 2592, 1310, 1142, 16802, 547, 968, 322, 809, 892, 519, 10510, 563, 1607, 10804, 338, 942, 593, 519, 3349, 585, 519, 3461, 543, 3340, 7199, 11632, 267, 16953, 610, 19182, 9196, 547, 1832, 3950, 540, 875, 519, 5106, 568, 2469, 563, 288, 1382, 2319, 693, 519, 2160, 540, 8828, 4993, 630, 4785, 290, 264, 14659, 789, 723, 513, 1732, 1259, 547, 948, 4791, 6887, 1294, 12362, 705, 3175, 5574, 269, 4256, 1353, 786, 581, 3370, 538, 519, 14232, 3390, 540, 20959, 3690, 13905, 593, 4437, 32441, 7177, 454, 19617, 539, 267, 513, 1134, 3964, 2754, 538, 1870, 2094, 476, 3192, 276, 2488, 513, 2647, 2039, 540, 3028, 3681, 1519, 942, 1299, 1570, 3028, 267, 6751, 1152, 11731, 267, 2407, 3028, 11731, 267, 4074, 1152, 11731, 1299, 1062, 882, 6327, 269, 11910, 476, 8517, 476, 9834, 6613, 539, 585, 811, 9623, 563, 14071, 616, 2324, 547, 1683, 513, 5488, 267, 811, 10375, 267, 543, 811, 4977, 1505, 540, 5583, 543, 5464, 585, 8143, 705, 3175, 5773, 2223, 3627, 853, 836, 267, 1382, 13930, 693, 519, 30721, 670, 338, 773, 327, 4972, 540, 15379, 7177, 693, 2475, 290, 5143, 31125, 289, 5240, 269, 968, 2005, 568, 849, 1454, 1447, 7199, 543, 3085, 1406, 2154, 519, 1804, 2230, 16841, 602, 19182, 6191, 2154, 563, 763, 3070, 10244, 525, 1483, 6066, 8143, 9196, 865, 602, 23262, 666, 2327, 519, 2953, 705, 3175, 1379, 568, 9447, 547, 519, 10510, 3135, 269, 5502, 540, 13461, 593, 19182, 267, 16953, 267, 610, 11632, 2592, 267, 519, 10758, 568, 19034, 609, 513, 17196, 19215, 5044, 563, 2108, 5978, 2029, 2636, 519, 7189, 547, 1683, 513, 834, 743, 2216, 2000, 17274, 257, 2126, 547, 519, 2550, 543, 7551, 2569, 519, 5650, 942, 15186, 2223, 10067, 3279, 631, 26710, 5417, 600, 267, 7548, 543, 8689, 540, 519, 12130, 992, 1511, 7010, 267, 11576, 832, 267, 543, 24919, 6997, 267, 23649, 540, 519, 5261, 631, 269, 670, 4084, 5584, 11208, 538, 15379, 7177, 693, 2475, 290, 267, 543, 1776, 4759, 540, 519, 1382, 2319, 267, 5143, 31125, 289, 5240, 269, 968, 314, 2005, 316, 666, 1683, 519, 4316, 585, 21800, 5464, 543, 4061, 9319, 936, 268, 610, 9333, 13015, 3034, 7628, 519, 5650, 267, 17196, 6786, 616, 11179, 10299, 883, 543, 4607, 856, 540, 519, 2126, 1858, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22134, 4088, 568, 1312, 519, 14724, 543, 519, 1034, 268, 629, 1495, 656, 3693, 538, 519, 7122, 267, 865, 4974, 621, 666, 4001, 3744, 827, 519, 9759, 540, 2339, 269, 1656, 2943, 972, 616, 1869, 1082, 7250, 11580, 547, 12260, 267, 1519, 875, 1655, 547, 3196, 621, 883, 513, 21367, 633, 267, 17285, 1533, 609, 1100, 5122, 4187, 563, 257, 7212, 27985, 4998, 585, 1648, 4483, 610, 4859, 267, 17285, 7250, 568, 5393, 4101, 547, 3132, 4603, 958, 2437, 1767, 14208, 10275, 342, 836, 834, 291, 1511, 257, 31474, 267, 945, 3366, 513, 2319, 540, 21575, 538, 15388, 519, 1198, 540, 519, 15626, 3154, 2415, 517, 593, 2046, 28962, 7250, 563, 1607, 568, 606, 14745, 540, 1488, 263, 295, 273, 264, 273, 538, 519, 14776, 606, 341, 559, 1591, 269, 634, 21985, 2099, 1114, 2081, 602, 4715, 14029, 8084, 2645, 1353, 519, 1198, 540, 3665, 12503, 593, 519, 12627, 2497, 543, 7636, 2497, 540, 519, 7623, 269, 630, 2690, 4966, 267, 519, 2699, 15561, 4564, 10548, 534, 21655, 267, 519, 3109, 15561, 4564, 5348, 577, 8527, 1258, 1535, 11920, 32250, 267, 543, 519, 12457, 15561, 4564, 9804, 10338, 21655, 8094, 15862, 21806, 540, 4258, 978, 808, 328, 454, 2005, 814, 1279, 1044, 6069, 602, 10962, 23606, 883, 513, 3732, 540, 7636, 7250, 267, 670, 273, 267, 1223, 948, 8897, 519, 5912, 547, 513, 17285, 1533, 269, 1924, 31474, 543, 1010, 2319, 1305, 856, 547, 1353, 519, 954, 332, 12817, 4205, 540, 7250, 602, 781, 4617, 569, 27995, 267, 610, 834, 323, 25660, 2437, 609, 2415, 517, 267, 1488, 263, 295, 273, 264, 273, 267, 896, 3665, 12503, 269, 634, 2856, 568, 602, 519, 791, 12053, 1223, 1689, 519, 2470, 540, 519, 7554, 1063, 519, 7250, 6675, 267, 4227, 519, 2604, 2556, 547, 16578, 519, 1875, 5471, 531, 3562, 2173, 13926, 5912, 269, 19881, 1382, 1185, 8612, 602, 1488, 263, 295, 273, 264, 273, 1522, 581, 513, 1434, 11134, 563, 20776, 29418, 267, 789, 4362, 602, 519, 1840, 540, 2415, 517, 1705, 711, 7520, 519, 7636, 2242, 2877, 547, 20006, 513, 17285, 1533, 538, 7250, 269, 4256, 4681, 616, 3370, 676, 519, 18619, 540, 519, 2817, 9142, 540, 7070, 563, 763, 2319, 4547, 519, 2415, 517, 1673, 25660, 7250, 909, 547, 476, 274, 269, 276, 2929, 2053, 3339, 11626, 2604, 734, 528, 476, 3374, 279, 17254, 777, 2444, 1023, 734, 1231, 728, 513, 14776, 606, 341, 559, 1591, 543, 4767, 922, 7293, 2242, 1210, 4359, 4715, 14029, 8084, 2645, 563, 1432, 789, 1336, 729, 602, 7250, 18423, 538, 922, 7636, 1106, 1256, 909, 547, 519, 5207, 12503, 267, 10834, 602, 2415, 517, 568, 711, 519, 4863, 1807, 1082, 1185, 12479, 621, 1131, 581, 563, 257, 290, 3300, 547, 11236, 267, 519, 1840, 540, 2415, 517, 1705, 711, 1711, 513, 2186, 540, 1412, 23755, 2604, 262, 593, 519, 7250, 267, 11319, 922, 6675, 6251, 1927, 269, 13298, 267, 621, 1185, 519, 6587, 1198, 2437, 1767, 1291, 2278, 4258, 978, 808, 328, 563, 763, 1353, 781, 824, 1071, 22052, 4243, 616, 281, 31257, 781, 12138, 22167, 10420, 990, 267, 667, 2466, 787, 7377, 990, 267, 29078, 9149, 267, 9947, 344, 826, 15651, 267, 962, 826, 631, 1263, 267, 20908, 572, 8055, 267, 543, 654, 3188, 18708, 282, 607, 1134, 607, 966, 633, 16988, 663, 1744, 4157, 5055, 267, 10878, 3306, 808, 6511, 267, 543, 14076, 2465, 341, 13259, 340, 10937, 540, 772, 653, 338, 8403, 2160, 282, 543, 966, 1388, 328, 16217, 330, 5155, 6390, 540, 519, 2160, 540, 9628, 563, 1607, 960, 729, 6462, 676, 519, 772, 2529, 269, 2817, 3163, 7690, 267, 519, 772, 2529, 269, 4972, 540, 6052, 267, 519, 4457, 9142, 540, 7070, 6250, 1746, 5584, 11208, 585, 18947, 4139, 12207, 543, 5589, 8816, 618, 540, 14579, 20226, 267, 519, 3864, 661, 6652, 16443, 26665, 23050, 1982, 267, 543, 519, 16528, 3194, 7027, 563, 763, 31257, 26323, 585, 3163, 630, 8364, 10864, 625, 7220, 12975, 264, 568, 513, 4357, 267, 18758, 3919, 2212, 32483, 1229, 538, 6115, 267, 667, 5861, 1421, 609, 3670, 1382, 13623, 2429, 519, 772, 2529, 269, 4595, 922, 15713, 538, 476, 5002, 273, 267, 519, 31257, 26323, 814, 1044, 513, 21722, 3196, 538, 2596, 3621, 1382, 269, 31257, 3744, 616, 3401, 538, 2030, 7350, 267, 11095, 7350, 267, 17651, 267, 2326, 2257, 267, 2518, 14498, 267, 543, 3047, 543, 19236, 2257, 563, 10267, 978, 808, 328, 1923, 31823, 2336, 10932, 9060, 1007, 7636, 3889, 538, 18664, 517, 2861, 6289, 16438, 31255, 454, 1724, 269, 5881, 269, 1001, 279, 1923, 9466, 2160, 454, 274, 291, 6261, 11781, 532, 281, 8081, 3889, 547, 2061, 21513, 538, 2022, 3491, 22422, 540, 6094, 2914, 6817, 2694, 454, 1321, 269, 5881, 269, 1001, 279, 1923, 29163, 268, 9743, 26623, 24166, 21277, 330, 5406, 4614, 1013, 860, 773, 7379, 307, 454, 2690, 519, 1101, 942, 2479, 267, 3744, 723, 5462, 519, 17184, 5169, 540, 5207, 20589, 6120, 12541, 657, 269, 589, 1382, 1895, 3366, 676, 10979, 290, 4209, 10196, 4432, 13453, 1763, 935, 328, 267, 22557, 17367, 540, 519, 20985, 3194, 4741, 24700, 289, 10219, 279, 693, 519, 14502, 2160, 540, 22540, 630, 307, 9331, 1070, 2488, 606, 1271, 4062, 540, 2963, 602, 519, 5536, 9571, 676, 519, 10979, 290, 4209, 22011, 3626, 16263, 693, 519, 3162, 24504, 22132, 689, 513, 14925, 2185, 5479, 1769, 26188, 2476, 689, 3047, 563, 2414, 4341, 856, 824, 8129, 609, 22979, 267, 519, 2319, 3366, 676, 22011, 3626, 21997, 4432, 13453, 1763, 935, 328, 689, 519, 14502, 2160, 540, 22540, 543, 3818, 2914, 320, 767, 2654, 2483, 2690, 519, 1101, 942, 513, 2319, 540, 3173, 723, 4362, 1079, 1114, 11775, 540, 6419, 6607, 3944, 687, 538, 513, 2582, 1570, 269, 4284, 27913, 540, 519, 14502, 29550, 540, 22540, 543, 667, 637, 6577, 543, 519, 2160, 540, 595, 860, 928, 666, 1631, 1732, 1353, 543, 1174, 519, 3601, 540, 891, 6419, 3889, 267, 799, 616, 1271, 585, 1312, 2596, 1382, 543, 3156, 563, 2662, 20071, 335, 8962, 616, 606, 4948, 1995, 538, 513, 8602, 8685, 281, 1879, 519, 1216, 568, 27071, 513, 9764, 642, 29448, 568, 4646, 269, 15380, 267, 971, 627, 597, 3149, 616, 2864, 7123, 269, 5381, 2483, 24357, 27913, 2324, 609, 17029, 663, 654, 6856, 693, 519, 2160, 540, 769, 985, 321, 30638, 723, 11567, 952, 543, 875, 3114, 6547, 666, 581, 6766, 676, 6098, 5854, 1049, 29835, 540, 519, 2746, 1218, 269, 1358, 941, 2111, 547, 6542, 602, 29835, 609, 513, 8955, 11237, 1281, 711, 1860, 519, 4398, 540, 513, 3114, 5385, 5114, 543, 602, 519, 9599, 7636, 1895, 6411, 1152, 607, 513, 4715, 1807, 538, 519, 5114, 563, 288, 4749, 1031, 5114, 538, 5214, 7998, 568, 7576, 30858, 18839, 269, 898, 4249, 267, 585, 1383, 267, 606, 1271, 1909, 538, 538, 519, 10282, 540, 1007, 3114, 2483, 18893, 673, 21655, 2636, 14236, 519, 1648, 2497, 543, 6422, 3601, 540, 1950, 7061, 1949, 269, 12824, 689, 519, 2160, 540, 654, 14660, 345, 7921, 1459, 1079, 1007, 4485, 540, 17396, 1079, 8820, 21655, 563, 257, 21607, 606, 29835, 883, 519, 1062, 543, 7747, 875, 621, 27372, 1701, 4340, 547, 21997, 7905, 18578, 5362, 645, 3700, 1676, 267, 713, 568, 519, 3841, 334, 540, 9804, 21655, 19601, 19575, 571, 6879, 677, 267, 1164, 27233, 2473, 11920, 30303, 1930, 519, 7450, 547, 519, 13210, 540, 3114, 6547, 269, 5131, 3887, 937, 1258, 22795, 5352, 891, 5686, 540, 20512, 267, 855, 972, 568, 513, 6952, 281, 519, 20512, 4268, 538, 8653, 543, 1648, 269, 1323, 3486, 1382, 2319, 814, 1631, 4843, 513, 3070, 281, 4635, 513, 8258, 540, 476, 1626, 22572, 543, 513, 9764, 569, 8701, 1242, 8955, 11237, 267, 789, 666, 3313, 1312, 2188, 609, 1140, 846, 1718, 6111, 563, 10403, 3887, 937, 1258, 22795, 630, 293, 5085, 338, 264, 5352, 5393, 2110, 543, 7920, 2473, 11920, 30303, 269, 12824, 666, 946, 891, 30303, 547, 8207, 3889, 609, 5603, 4394, 593, 519, 2483, 1724, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 6734, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 1626, 269, 5881, 269, 1001, 279, 1923, 8212, 543, 18395, 454, 1626, 269, 5881, 269, 1001, 279, 1923, 5020, 7070, 454, 1626, 269, 5881, 269, 1001, 279, 1923, 3047, 7070, 0, 23087, 281, 834, 12552, 581, 547, 2696, 585, 1010, 967, 525, 4933, 762, 10516, 30882, 288, 1906, 2395, 1354, 21175, 267, 513, 812, 538, 8419, 1572, 1010, 5067, 538, 17842, 269, 968, 296, 13842, 547, 25010, 707, 1554, 267, 12312, 267, 855, 594, 723, 930, 3983, 3377, 585, 596, 269, 2659, 3993, 543, 594, 616, 3478, 513, 16028, 269, 10783, 344, 19317, 1296, 540, 3765, 2044, 568, 2614, 1848, 2605, 4842, 267, 519, 5067, 1572, 1010, 11078, 538, 26551, 547, 2995, 1200, 519, 26648, 3377, 269, 968, 296, 3580, 6023, 713, 2223, 519, 11078, 1767, 269, 1656, 1352, 5612, 1572, 1200, 3237, 269, 968, 2791, 616, 711, 3478, 513, 16028, 17373, 1352, 5143, 1200, 4651, 269, 968, 2171, 616, 10760, 1524, 14182, 3781, 267, 865, 602, 649, 666, 2911, 930, 2631, 883, 596, 543, 16474, 269, 5213, 1406, 798, 4376, 2394, 649, 1205, 972, 17373, 968, 5472, 1318, 2223, 519, 4651, 8815, 269, 634, 4651, 8288, 909, 519, 6049, 543, 2868, 548, 1042, 547, 1010, 7385, 267, 968, 302, 10798, 267, 789, 2461, 4947, 585, 21175, 2507, 663, 789, 2461, 9878, 741, 1378, 1259, 28461, 5970, 596, 8068, 602, 1082, 1004, 1631, 3277, 547, 21175, 4303, 607, 968, 307, 584, 4486, 4303, 892, 286, 4208, 888, 2108, 7212, 789, 6785, 2696, 1496, 10843, 5137, 3910, 789, 9444, 1350, 528, 1881, 1864, 607, 2696, 6862, 5795, 7064, 547, 1864, 892, 630, 305, 30689, 476, 272, 281, 2641, 1040, 631, 1678, 785, 15189, 547, 2285, 7064, 547, 2696, 585, 3618, 569, 25736, 267, 971, 607, 24106, 267, 4764, 267, 543, 7031, 269, 5502, 267, 789, 968, 342, 11208, 539, 543, 6039, 2813, 1919, 2864, 982, 519, 29763, 892, 630, 341, 269, 476, 1839, 1916, 306, 611, 569, 267, 21175, 814, 1831, 513, 1554, 950, 1004, 10847, 513, 2813, 3364, 630, 320, 21429, 264, 2864, 982, 519, 29763, 563, 289, 5055, 1047, 623, 26696, 267, 519, 476, 1704, 628, 2540, 22301, 543, 14544, 267, 1767, 267, 968, 10048, 779, 8417, 547, 1507, 1919, 267, 543, 1010, 1202, 27383, 547, 519, 1034, 1271, 1919, 267, 616, 15983, 20209, 1878, 540, 513, 9490, 4524, 3034, 10521, 1455, 8456, 4724, 7064, 15130, 912, 1892, 645, 1652, 902, 616, 2938, 607, 4947, 689, 2475, 267, 711, 717, 7495, 563, 289, 691, 3244, 12121, 779, 11755, 281, 968, 32091, 2696, 267, 649, 6976, 585, 713, 8631, 6000, 267, 865, 7064, 585, 4986, 3034, 2108, 2791, 949, 2161, 547, 3054, 267, 2048, 7069, 1379, 543, 519, 4222, 540, 1250, 3946, 723, 3812, 713, 5763, 585, 803, 10200, 1809, 3314, 519, 7083, 707, 2696, 267, 585, 621, 568, 646, 945, 3947, 596, 519, 2702, 547, 3132, 5763, 892, 630, 5719, 17458, 16860, 476, 279, 281, 1704, 268, 1240, 1916, 2108, 9336, 1434, 543, 3501, 10516, 568, 689, 1657, 892, 630, 22832, 476, 272, 281, 1704, 1916, 2108, 29490, 2285, 5491, 1141, 5491, 568, 1813, 3034, 294, 4261, 528, 5261, 17659, 5112, 540, 12590, 568, 5156, 547, 723, 1500, 519, 1101, 21175, 605, 17474, 1614, 1296, 1310, 519, 15815, 15317, 338, 12306, 693, 623, 569, 17625, 912, 1103, 11047, 1276, 607, 519, 4279, 12429, 814, 2016, 721, 713, 1032, 540, 606, 10731, 7556, 540, 4095, 8970, 267, 10568, 267, 17112, 267, 10365, 267, 2695, 10449, 267, 543, 4677, 5388, 267, 543, 814, 1500, 519, 4104, 547, 32736, 609, 3014, 543, 519, 4262, 609, 3165, 543, 804, 4461, 267, 543, 538, 11047, 1276, 607, 1261, 814, 838, 1563, 721, 689, 11641, 559, 775, 543, 2068, 267, 814, 11292, 721, 5191, 547, 10847, 2696, 2687, 547, 519, 9598, 919, 540, 938, 1378, 25903, 269, 3767, 594, 267, 707, 4012, 626, 3433, 267, 798, 605, 8010, 602, 782, 9493, 15815, 15317, 338, 267, 609, 707, 24726, 543, 9493, 2370, 3283, 267, 798, 5531, 693, 9493, 5870, 2777, 267, 593, 9493, 14629, 267, 1063, 519, 3108, 540, 8370, 543, 12964, 538, 519, 24817, 267, 593, 13628, 267, 5437, 476, 3066, 628, 267, 538, 519, 1032, 540, 938, 7083, 2290, 23897, 663, 14520, 25569, 543, 26062, 268, 16248, 267, 543, 519, 3791, 1032, 2094, 9493, 15815, 15317, 338, 15354, 593, 9493, 15815, 15317, 9412, 267, 972, 547, 6432, 547, 9493, 2250, 528, 543, 11904 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6440, 9891, 19937, 18185, 18789, 16530, 30894, 269, 9891, 9498, 585, 681, 309, 610, 4342, 704, 8709, 24740, 269, 18789, 11443, 12222, 585, 476, 1911, 310, 267, 476, 1220, 310, 267, 476, 4968, 310, 267, 476, 6110, 310, 267, 476, 7785, 310, 267, 476, 8517, 310, 20164, 269, 3267, 1403, 1210, 28909, 543, 11655, 267, 621, 568, 5363, 547, 798, 513, 9819, 585, 513, 5162, 3923, 543, 513, 4832, 3923, 630, 10175, 3141, 3108, 2630, 264, 543, 946, 519, 3677, 540, 519, 1079, 269, 3267, 23996, 1272, 568, 4429, 296, 4312, 1185, 513, 1906, 2395, 1282, 519, 32518, 311, 1628, 1247, 594, 6415, 2901, 7996, 585, 2694, 610, 7996, 585, 1945, 547, 3819, 543, 1185, 930, 1863, 942, 269, 594, 6415, 711, 4010, 835, 547, 1694, 513, 454, 4913, 267, 952, 596, 5372, 707, 1216, 22865, 606, 1712, 11425, 1354, 621, 14543, 267, 827, 1169, 2947, 1296, 267, 596, 666, 5595, 519, 1272, 540, 707, 1216, 22865, 269, 14339, 338, 616, 1500, 689, 13101, 267, 11956, 610, 11956, 270, 345, 4532, 18585, 269, 1325, 26891, 10682, 22203, 616, 4421, 693, 1753, 7740, 269, 769, 1034, 2665, 267, 519, 15279, 21192, 2212, 540, 519, 11425, 568, 7298, 593, 519, 1283, 540, 519, 1216, 22865, 563, 14888, 312, 25439, 8865, 5020, 670, 2931, 256, 476, 1691, 25439, 18789, 18768, 623, 3591, 12714, 27207, 256, 1403, 596, 10150, 713, 18789, 25439, 8865, 543, 2653, 13492, 2093, 25439, 18789, 18768, 267, 1287, 4429, 14888, 312, 9891, 4826, 1261, 831, 3245, 21311, 645, 2714, 956, 5269, 513, 3859, 1216, 22865, 689, 513, 18061, 540, 5068, 14569, 543, 7047, 976, 269, 901, 568, 1390, 585, 519, 1604, 607, 621, 1954, 525, 909, 3653, 17885, 543, 952, 596, 6430, 547, 1628, 835, 596, 1223, 946, 2025, 14569, 610, 1018, 2479, 596, 723, 2139, 563, 16908, 19104, 540, 513, 1216, 22865, 281, 713, 2376, 6257, 519, 6093, 3028, 1272, 540, 513, 10821, 1216, 22865, 16460, 519, 2243, 281, 875, 1279, 786, 1250, 1216, 22865, 2063, 286, 1284, 2285, 6093, 1216, 22865, 1272, 2503, 17473, 267, 649, 1592, 930, 540, 519, 2188, 602, 1860, 1216, 22865, 1272, 267, 649, 4363, 5826, 3268, 547, 1205, 519, 13074, 3730, 1272, 540, 707, 1216, 22865, 267, 543, 649, 1865, 519, 4429, 11321, 476, 2918, 267, 476, 1001, 274, 6440, 16353, 681, 1731, 568, 606, 28048, 4224, 327, 895, 267, 2470, 329, 6064, 773, 267, 543, 1055, 1492, 28186, 4603, 518, 2713, 834, 1492, 2241, 1272, 2668, 901, 3135, 568, 513, 4015, 540, 3579, 8631, 594, 1336, 1247, 840, 6137, 585, 1272, 593, 519, 4155, 630, 663, 834, 4752, 519, 4155, 8442, 538, 1250, 2407, 5503, 6263, 5264, 593, 14743, 1250, 2241, 1753, 321, 16742, 18789, 4586, 14888, 312, 3859, 8022, 8470, 267, 799, 3096, 2025, 14614, 23691, 547, 2445, 543, 4483, 519, 3141, 781, 1648, 883, 707, 2777, 815, 17676, 16777, 2969, 269, 2859, 1344, 4855, 713, 18237, 543, 811, 593, 2197, 1272, 676, 717, 2088, 12891, 2421, 1547, 0, 9961, 1686, 267, 519, 3801, 540, 835, 1268, 547, 18609, 1776, 1268, 547, 3207, 609, 873, 568, 513, 6249, 602, 814, 2760, 30403, 547, 27873, 543, 1055, 754, 543, 538, 5929, 3703, 3332, 267, 519, 1106, 568, 1572, 519, 2961, 701, 4144, 655, 6648, 281, 519, 28958, 519, 546, 6648, 2507, 28958, 519, 1554, 2507, 15069, 269, 5637, 3627, 5213, 928, 779, 968, 763, 18307, 320, 892, 543, 11184, 12448, 31733, 331, 779, 968, 2414, 3571, 595, 1195, 27190, 816, 2223, 799, 941, 2854, 711, 811, 982, 476, 3583, 1296, 6306, 267, 616, 1806, 540, 713, 2186, 540, 6965, 2854, 676, 2367, 12394, 547, 18609, 513, 4807, 547, 28958, 519, 1554, 676, 9844, 532, 547, 3023, 269, 1403, 2576, 941, 547, 3274, 1224, 543, 1174, 891, 9954, 3274, 998, 519, 561, 1619, 540, 2221, 779, 1620, 540, 1018, 519, 1913, 593, 519, 2985, 1611, 267, 519, 5114, 1131, 581, 1034, 2693, 602, 891, 2367, 941, 2046, 1005, 2021, 883, 2348, 3023, 950, 519, 2021, 941, 1843, 532, 267, 6382, 1946, 941, 891, 2367, 3257, 741, 1655, 547, 18609, 267, 543, 941, 15069, 771, 15517, 539, 267, 799, 1797, 741, 968, 7224, 892, 568, 711, 1373, 15197, 267, 799, 594, 993, 2386, 1131, 581, 2147, 547, 519, 5114, 930, 1004, 723, 6947, 547, 968, 289, 17879, 898, 779, 12019, 31072, 892, 585, 519, 1101, 942, 609, 606, 1274, 547, 1948, 5471, 5622, 543, 18468, 9601, 540, 4638, 8194, 267, 799, 568, 1946, 789, 616, 519, 3501, 1383, 540, 1620, 1018, 632, 18586, 1797, 563, 13828, 5213, 928, 543, 31733, 331, 5206, 891, 1286, 701, 1019, 655, 9954, 607, 2367, 3843, 547, 1205, 930, 2962, 267, 15069, 267, 855, 602, 3884, 1406, 519, 1152, 3364, 693, 1404, 1934, 269, 1284, 723, 547, 3314, 602, 538, 938, 2486, 2221, 267, 2021, 723, 519, 1318, 547, 3442, 2436, 789, 723, 4638, 561, 807, 11143, 609, 2576, 610, 711, 1312, 3330, 543, 3544, 540, 7365, 543, 3347, 269, 769, 519, 942, 540, 5213, 928, 543, 31733, 331, 267, 1247, 2367, 949, 723, 1336, 621, 11807, 1369, 2486, 547, 3207, 609, 824, 2021, 3544, 540, 741, 22888, 267, 2021, 941, 1869, 267, 585, 782, 703, 757, 543, 5301, 267, 3959, 540, 2367, 269, 1358, 941, 4397, 547, 581, 2205, 326, 1231, 950, 789, 9310, 543, 547, 2760, 723, 3023, 3544, 540, 602, 2078, 267, 865, 1247, 1312, 5213, 928, 543, 31733, 331, 779, 7440, 616, 827, 519, 1249, 602, 789, 1616, 547, 723, 561, 807, 11143, 609, 891, 2021, 789, 616, 849, 19163, 2250, 519, 4978, 540, 519, 942, 543, 19163, 585, 2021, 547, 723, 519, 1318, 547, 3442, 585, 2933, 547, 32696, 741, 1378, 13821, 610, 711, 563, 10673, 928, 14753, 2047, 547, 519, 3661, 602, 3023, 568, 10723, 1063, 513, 812, 543, 513, 4807, 538, 7365, 1317, 540, 519, 1287, 1360, 4922, 7608, 968, 27023, 881, 1249, 892, 602, 789, 5156, 5033, 523, 543, 21420, 5714, 941, 1973, 538, 621, 779, 6986, 560, 1106, 543, 4061, 513, 1973, 26315, 568, 1500, 538, 3023, 267, 19163, 602, 789, 1185, 20248, 2907, 9411, 883, 513, 1973, 26315, 1317, 519, 7904, 320, 1185, 2907, 3787, 1084, 1312, 540, 873, 543, 544, 532, 1194, 741, 1973, 538, 922, 17987, 269, 1261, 1287, 4481, 6285, 519, 2856, 602, 5609, 568, 538, 543, 540, 3294, 513, 5609, 267, 1945, 547, 1745, 17847, 936, 16462, 610, 11981, 267, 543, 602, 513, 4807, 779, 20424, 640, 568, 782, 602, 568, 1271, 1991, 547, 1200, 7365, 607, 952, 621, 568, 519, 1152, 3364, 602, 2306, 1200, 14909, 269, 18421, 646, 568, 3257, 547, 18609, 1200, 547, 723, 3023, 568, 22215, 711, 1152, 519, 4978, 540, 519, 1554, 6031, 602, 2687, 547, 519, 1482, 3652, 602, 616, 5329, 1200, 689, 1373, 2111, 547, 3442, 1018, 1352, 6499, 267, 789, 2461, 2907, 9310, 952, 519, 7904, 320, 814, 3787, 1084, 873, 1312, 1317, 741, 1973, 814, 6404, 267, 855, 849, 538, 4625, 22215, 519, 2856, 602, 3023, 568, 513, 5609, 267, 602, 1004, 1058, 1745, 17847, 585, 16462, 621, 543, 11981, 621, 267, 543, 2523, 602, 519, 4807, 779, 1152, 1871, 568, 538, 1200, 20424, 640, 269, 18833, 827, 543, 7311, 1620, 827, 945, 519, 1268, 729, 945, 729, 6340, 543, 1018, 942, 646, 729, 6340, 6645, 721, 1945, 1360, 1114, 982, 1175, 519, 12597, 18191, 17064, 5114, 540, 7487, 1864, 607, 513, 812, 945, 1175, 6499, 547, 1205, 9788, 563, 11321, 767, 331, 3217, 606, 10169, 1114, 855, 711, 20775, 1935, 676, 9319, 519, 7440, 602, 1010, 13959, 1131, 7237, 689, 1200, 4651, 267, 1200, 14552, 267, 543, 2486, 607, 513, 2898, 827, 519, 2956, 540, 1200, 6967, 513, 20424, 2394, 519, 1554, 540, 1200, 7365, 7488, 540, 519, 1249, 602, 20424, 640, 543, 1395, 690, 18081, 941, 4397, 585, 2021, 267, 945, 941, 1869, 669, 3430, 601, 538, 513, 2631, 267, 855, 711, 585, 2367, 269, 769, 519, 942, 891, 9954, 941, 2854, 267, 2367, 1223, 723, 513, 7385, 543, 513, 5134, 816, 267, 1312, 540, 7247, 1223, 581, 9870, 1010, 1453, 267, 1247, 849, 11981, 519, 2754, 540, 1866, 4171, 7475, 941, 1558, 950, 2367, 779, 7475, 941, 267, 19804, 267, 1558, 269, 630, 313, 3266, 10385, 281, 2021, 991, 547, 3548, 543, 789, 1419, 1185, 11613, 1100, 3903, 538, 519, 2339, 824, 982, 7446, 547, 5182, 557, 547, 2669, 3079, 4700, 2913, 779, 711, 7340, 630, 8117, 849, 711, 1205, 7357, 883, 264, 519, 1249, 602, 22888, 941, 8852, 602, 11843, 1379, 267, 2724, 267, 543, 3959, 689, 519, 3946, 540, 835, 812, 547, 519, 3946, 540, 1776, 269, 10348, 10906, 1185, 519, 4781, 547, 2760, 1205, 9310, 543, 1185, 1100, 835, 547, 3196, 1200, 547, 19533, 865, 1352, 2760, 1705, 1317, 1352, 6785, 602, 952, 1352, 1705, 267, 646, 1223, 1491, 1200, 1379, 282, 1352, 729, 835, 4807, 267, 519, 1964, 1185, 1100, 5079, 538, 519, 2339, 269, 6468, 9310, 627, 727, 591, 1522, 15974, 543, 609, 519, 10479, 540, 519, 2367, 538, 1200, 1920, 267, 7488, 540, 2436, 789, 941, 2186, 610, 15962, 610, 12391, 269, 4256, 2816, 729, 547, 1118, 9002, 543, 1832, 513, 2777, 267, 7488, 540, 2436, 789, 4941, 547, 581, 972, 267, 7488, 540, 2436, 741, 8152, 27512, 941, 1434, 547, 873, 610, 6068, 873, 269, 1358, 4769, 1406, 1205, 547, 3442, 547, 2161, 1100, 269, 6733, 693, 875, 16806, 642, 3298, 2221, 1869, 2992, 1346, 4978, 281, 968, 8005, 3947, 713, 4807, 547, 713, 812, 2507, 892, 7937, 2507, 589, 812, 1281, 1317, 1256, 1498, 538, 519, 2063, 2540, 267, 519, 3903, 547, 723, 13190, 936, 741, 1272, 543, 1560, 6368, 26520, 609, 2021, 630, 338, 677, 540, 1070, 2021, 616, 1869, 4371, 547, 513, 4625, 1114, 3044, 950, 621, 2501, 1919, 8345, 1063, 1200, 7953, 543, 547, 1200, 1560, 269, 31733, 3085, 1406, 1256, 2253, 547, 1413, 693, 1022, 540, 1346, 6788, 543, 519, 6654, 1843, 687, 543, 6848, 12178, 513, 4807, 1131, 3068, 585, 1818, 602, 3903, 1256, 1498, 519, 2367, 1131, 3068, 2370, 610, 1100, 4890, 12343, 269, 5502, 646, 1281, 519, 1034, 7415, 3364, 594, 1589, 646, 1223, 798, 950, 646, 12662, 519, 3903, 538, 519, 3946, 540, 519, 835, 1268, 4171, 3903, 621, 1058, 581, 2436, 513, 4807, 814, 3023, 543, 609, 7247, 281, 519, 4807, 269, 1261, 1256, 4016, 547, 2021, 2348, 1185, 3023, 607, 1945, 28330, 547, 513, 943, 14535, 1460, 8375, 1586, 543, 1586, 689, 519, 607, 1127, 547, 6633, 936, 543, 936, 267, 799, 568, 513, 7168, 7415, 3364, 547, 6085, 593, 630, 921, 848, 1810, 1406, 1118, 803, 5017, 543, 10987, 596, 1916, 4322, 1079, 1286, 701, 1019, 655, 9954, 543, 741, 4589, 941, 4101, 519, 3206, 540, 519, 1554, 267, 855, 519, 1482, 12959, 616, 1869, 1373, 10692, 1256, 952, 789, 723, 4957, 936, 942, 538, 930, 2081, 269, 8786, 267, 2021, 723, 13190, 936, 741, 4703, 4990, 540, 855, 711, 952, 789, 1616, 610, 991, 547, 723, 513, 5650, 602, 786, 1491, 2476, 741, 2702, 547, 7703, 1453, 267, 693, 799, 1448, 789, 786, 581, 5143, 602, 789, 1522, 1689, 741, 2247, 543, 602, 789, 991, 741, 9393, 779, 10479, 267, 1256, 952, 789, 1810, 1406, 723, 835, 282, 621, 5949, 547, 803, 593, 513, 5650, 594, 2877, 1256, 609, 621, 1373, 13006, 538, 1250, 2564, 5750, 602, 1250, 23947, 729, 29880, 543, 594, 7012, 1406, 2922, 269, 6468, 1205, 547, 3442, 945, 789, 786, 19533, 543, 1018, 789, 786, 798, 609, 7247, 2436, 610, 711, 789, 616, 9310, 267, 8259, 789, 1332, 909, 538, 513, 19454, 2528, 602, 11414, 873, 602, 741, 12257, 568, 6281, 547, 519, 812, 789, 616, 547, 19533, 610, 789, 1332, 909, 538, 513, 2528, 610, 3661, 1062, 602, 786, 1641, 873, 547, 519, 585, 24862, 8851, 540, 782, 610, 851, 540, 741, 9018, 19058, 807, 538, 1931, 547, 1832, 873, 689, 11981, 3023, 282, 2021, 616, 1869, 15653, 676, 741, 3885, 950, 789, 3442, 945, 547, 2648, 3079, 540, 6367, 532, 1524, 547, 519, 7569, 540, 741, 3885, 269, 1656, 2021, 798, 1205, 547, 3442, 741, 4891, 267, 855, 538, 513, 2486, 1141, 2021, 616, 30199, 950, 789, 616, 986, 6244, 267, 950, 2021, 5749, 1406, 5156, 950, 789, 2307, 585, 948, 267, 543, 950, 513, 4807, 23297, 547, 723, 968, 1729, 334, 1082, 892, 4891, 630, 553, 3989, 676, 627, 727, 591, 568, 1373, 4140, 4445, 264, 1352, 568, 1793, 583, 695, 3139, 855, 952, 513, 812, 1281, 519, 3169, 1482, 3364, 267, 1004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31756, 269, 1411, 1223, 849, 4894, 2694, 540, 1913, 543, 1175, 4734, 1978, 5022, 269, 1280, 713, 3635, 267, 596, 1058, 1832, 519, 1913, 538, 10199, 519, 1482, 4025, 789, 941, 593, 519, 3312, 4786, 563, 12648, 513, 3802, 1472, 707, 1858, 543, 2328, 1524, 1747, 4408, 602, 1719, 596, 269, 898, 1522, 581, 5363, 547, 2119, 547, 2328, 1524, 4408, 602, 31721, 1472, 513, 6249, 267, 971, 607, 1697, 4408, 267, 2470, 4408, 267, 1875, 30165, 1893, 4408, 267, 13348, 5328, 4408, 267, 3092, 563, 2691, 596, 1205, 1753, 267, 1413, 909, 519, 5169, 2984, 540, 513, 1906, 540, 891, 1747, 4408, 269, 6875, 513, 4090, 543, 1589, 827, 782, 519, 1893, 596, 1175, 4718, 538, 707, 1858, 267, 543, 1018, 621, 5921, 547, 596, 269, 1684, 891, 4408, 1118, 596, 1745, 3769, 610, 16934, 286, 1684, 596, 1294, 3054, 10630, 538, 891, 4408, 286, 1215, 798, 891, 4408, 4334, 610, 5635, 547, 1018, 596, 4718, 610, 5433, 610, 4862, 593, 707, 3802, 888, 2237, 513, 6648, 602, 16621, 1142, 540, 519, 1913, 596, 5206, 1524, 538, 519, 1931, 602, 596, 4718, 873, 269, 2659, 6648, 1223, 1936, 622, 519, 1184, 540, 707, 3802, 610, 581, 4625, 20775, 547, 707, 3802, 269, 23657, 1259, 267, 946, 519, 6648, 547, 2992, 593, 1018, 621, 7959, 899, 585, 596, 547, 2661, 1851, 891, 4408, 563, 2710, 930, 1382, 593, 519, 8265, 269, 1548, 2621, 723, 3144, 1747, 972, 286, 5808, 814, 5030, 972, 543, 945, 2729, 972, 1631, 286, 1215, 814, 621, 4957, 936, 942, 888, 28716, 519, 8265, 610, 1413, 909, 5961, 610, 2721, 593, 707, 3965, 540, 519, 8265, 269, 1879, 1603, 707, 6648, 267, 946, 3515, 547, 4766, 519, 8265, 269, 1548, 1281, 621, 1413, 899, 286, 5808, 798, 596, 1294, 286, 1548, 616, 789, 3257, 286, 1548, 2186, 540, 5656, 616, 593, 519, 8265, 286, 1548, 2186, 540, 4054, 543, 5810, 286, 1548, 1281, 519, 8265, 3280, 899, 286, 3911, 749, 899, 286, 18461, 899, 286, 1215, 666, 596, 4766, 538, 2081, 602, 616, 811, 3020, 543, 9237, 547, 596, 982, 922, 1699, 2012, 888, 21430, 7151, 18768, 454, 2691, 8600, 547, 7520, 513, 3860, 1565, 2534, 267, 649, 2141, 4363, 1402, 6819, 707, 2230, 609, 3309, 1383, 3785, 269, 18461, 1863, 547, 1820, 856, 519, 1657, 1806, 689, 7172, 12579, 538, 519, 12813, 21197, 2146, 547, 948, 8300, 707, 29123, 256, 589, 1434, 1383, 1788, 568, 24617, 2966, 547, 8300, 707, 29123, 267, 8141, 741, 7279, 267, 543, 581, 2653, 2614, 547, 1174, 547, 1489, 873, 538, 3478, 3323, 609, 519, 2534, 563, 7712, 972, 616, 1082, 2081, 547, 2263, 15340, 267, 29123, 949, 991, 930, 5583, 538, 875, 610, 1141, 547, 1205, 3323, 269, 1879, 14123, 713, 2534, 267, 649, 5000, 596, 547, 1489, 513, 512, 1074, 1359, 14820, 267, 543, 2015, 519, 1739, 547, 2528, 513, 3860, 1565, 1604, 912, 293, 659, 10949, 9828, 547, 2119, 609, 32085, 17826, 20681, 454, 2690, 930, 267, 519, 23698, 851, 540, 1603, 9954, 666, 581, 7446, 707, 1101, 1913, 256, 1306, 513, 4863, 1807, 267, 4603, 609, 1114, 2081, 547, 948, 29123, 7753, 519, 19224, 548, 540, 3478, 3323, 269, 1284, 4312, 6068, 1210, 713, 1747, 10391, 688, 30884, 11718, 547, 948, 2030, 930, 5452, 585, 1883, 1913, 610, 2453, 602, 1522, 4196, 607, 513, 6648, 781, 13540, 269, 14109, 30257, 1913, 593, 519, 3349, 538, 519, 2511, 540, 6419, 6965, 269, 9105, 5171, 547, 1445, 593, 513, 1507, 1858, 540, 741, 7851, 267, 610, 2759, 6306, 543, 1780, 856, 1507, 6810, 540, 513, 4786, 547, 2569, 519, 8267, 332, 269, 5620, 3063, 12215, 547, 4603, 609, 865, 602, 29123, 616, 1447, 7255, 827, 21006, 707, 1152, 5299, 269, 1411, 1522, 849, 1628, 513, 5401, 1472, 513, 2407, 31228, 3635, 267, 4358, 609, 3025, 7114, 1913, 610, 4798, 789, 5544, 538, 513, 3838, 4786, 563, 305, 684, 513, 1920, 3860, 1565, 1982, 1141, 7820, 29123, 616, 9415, 547, 1071, 268, 22056, 609, 4587, 4079, 2443, 25330, 610, 4896, 945, 666, 5732, 2671, 270, 29171, 1380, 3140, 2796, 540, 513, 1747, 779, 2250, 1247, 2870, 9954, 827, 707, 2146, 269, 661, 671, 619, 949, 723, 8823, 540, 875, 513, 2146, 1031, 547, 1413, 3379, 547, 2221, 267, 610, 789, 949, 1616, 547, 18949, 8823, 609, 1866, 563, 13706, 2348, 1806, 593, 1688, 602, 2992, 519, 1686, 540, 519, 1114, 5095, 945, 723, 20948, 707, 2146, 269, 24135, 883, 707, 5399, 781, 21517, 547, 1265, 930, 1806, 540, 7851, 1500, 1282, 610, 18995, 1114, 21971, 267, 543, 3142, 891, 547, 519, 13186, 269, 2659, 29123, 949, 1451, 689, 610, 1711, 609, 891, 2326, 269, 1411, 1522, 849, 2015, 8744, 538, 513, 2703, 550, 689, 513, 2199, 3140, 2486, 547, 2671, 930, 2984, 827, 875, 707, 2146, 3357, 547, 581, 563, 257, 25565, 257, 6965, 666, 1745, 25516, 267, 2930, 267, 543, 1932, 3652, 2861, 269, 11559, 29123, 547, 2263, 811, 1863, 27322, 543, 22192, 6163, 540, 1603, 269, 20780, 1806, 540, 540, 1568, 676, 1312, 3140, 543, 4207, 15023, 547, 707, 13186, 267, 543, 5031, 741, 30031, 3604, 269, 22628, 513, 2039, 540, 6965, 6163, 949, 948, 1346, 945, 1745, 12758, 610, 18516, 540, 1141, 547, 1376, 269, 3816, 785, 29123, 602, 1022, 4082, 666, 581, 834, 17763, 4479, 257, 2336, 10673, 1405, 3970, 707, 15023, 547, 2757, 8265, 1315, 2749, 7851, 607, 2707, 1570, 269, 2659, 2146, 814, 1082, 1114, 1239, 2010, 2404, 609, 621, 602, 849, 4183, 13664, 1344, 269, 12056, 1585, 2010, 540, 7851, 543, 1239, 1223, 8300, 513, 3099, 540, 535, 1539, 538, 29123, 262, 9954, 269, 5620, 513, 3099, 540, 7851, 543, 13664, 1239, 11593, 2139, 267, 971, 607, 18302, 7851, 267, 17027, 267, 2916, 270, 933, 1430, 7851, 267, 543, 519, 899, 269, 11625, 3645, 7851, 616, 2442, 267, 20515, 2199, 21056, 538, 606, 1419, 28031, 5652, 1259, 563, 2252, 513, 2922, 4087, 547, 2263, 568, 711, 3362, 15600, 689, 707, 13186, 267, 15407, 3059, 2645, 899, 5616, 9335, 7348, 547, 2347, 519, 12532, 7313, 655, 5401, 269, 1306, 606, 3773, 22429, 267, 519, 834, 19769, 257, 666, 581, 9170, 538, 519, 1158, 256, 2791, 949, 849, 946, 3059, 2645, 547, 1711, 19180, 6965, 630, 3697, 2458, 1137, 267, 19347, 10317, 338, 267, 543, 16814, 4609, 1916, 12195, 21197, 32085, 17826, 13462, 547, 513, 2603, 540, 5571, 1514, 5126, 3646, 267, 3226, 538, 15646, 5446, 3646, 2429, 519, 2197, 269, 570, 773, 883, 2621, 538, 707, 1378, 2146, 267, 543, 946, 519, 2534, 607, 513, 4901, 1448, 609, 707, 29123, 547, 1921, 3860, 4082, 543, 5126, 538, 519, 1483, 8996, 269, 6423, 519, 4578, 12339, 24452, 6997, 781, 10748, 527, 519, 6790, 1115, 5741, 585, 811, 1344, 563, 12195, 21197, 32085, 17826, 538, 11059, 454, 10666, 12813, 21197, 32085, 17826, 454, 1607, 2534, 729, 2919, 607, 851, 540, 519, 12813, 21197, 3213, 268, 17637, 1982, 267, 538, 799, 9012, 6997, 3173, 2319, 909, 609, 1857, 7172, 12579, 547, 1711, 1007, 12813, 21197, 5752, 267, 538, 5698, 609, 10564, 543, 7376, 670, 7699, 2473, 328, 540, 519, 4578, 12339, 24452, 6997, 781, 10748, 527, 519, 6790, 1115, 5741, 563, 8448, 2081, 547, 4497, 609, 519, 12813, 21197, 27202, 6641, 11496, 2534, 912, 268, 18391, 585, 930, 4282, 2575, 286, 6744, 856, 938, 12813, 21197, 32085, 17826, 7591, 4289, 9462, 492, 370, 454, 268, 5999, 286, 9105, 873, 593, 519, 12813, 21197, 17564, 17072, 9462, 503, 489, 27501, 478, 20804, 454, 268, 9523, 707, 1995, 4881, 713, 13186, 593, 1514, 2923, 1210, 1948, 12195, 21197, 306, 6312, 658, 22437, 4479, 9462, 502, 492, 454, 2750, 1061, 1141, 6382, 7074, 267, 782, 2326, 593, 713, 3135, 616, 13931, 896, 513, 16671, 15760, 4149, 288, 476, 275, 269, 271, 12689, 563, 763, 5398, 7732, 16743, 16510, 630, 12195, 21197, 264, 568, 513, 1788, 540, 519, 20037, 9012, 6997, 7913, 4804, 1299, 21664, 22456, 269, 31453, 1141, 6382, 7074, 267, 782, 2326, 593, 713, 3135, 616, 13931, 896, 513, 16671, 15760, 4149, 288, 476, 275, 269, 271, 12689, 269, 29456, 269, 0, 10817, 728, 585, 10495, 454, 1432, 568, 519, 6651, 10495, 888, 2005, 779, 513, 31387, 540, 519, 24099, 7405, 2919, 896, 23140, 21815, 14741, 5741, 799, 6663, 547, 1489, 3610, 689, 3864, 6281, 3506, 547, 4020, 1367, 546, 1601, 4536, 540, 1053, 609, 513, 27540, 4282, 269, 898, 6663, 547, 4217, 741, 3450, 1909, 609, 1053, 689, 21345, 543, 19774, 10080, 267, 3226, 538, 6935, 547, 741, 1514, 543, 3929, 2115, 269, 898, 781, 835, 540, 519, 2200, 2919, 547, 4217, 1153, 5234, 547, 960, 609, 1053, 609, 27540, 10080, 563, 1432, 568, 519, 6301, 25779, 540, 519, 6651, 10495, 888, 763, 1292, 3804, 540, 713, 3391, 568, 547, 6895, 1646, 543, 1565, 540, 1053, 267, 12077, 1346, 609, 27540, 10080, 267, 2094, 519, 12625, 547, 1153, 13307, 267, 782, 1153, 3734, 1279, 269, 901, 3391, 568, 519, 1267, 540, 513, 2679, 7161, 540, 1702, 1759, 538, 513, 2689, 540, 2645, 267, 1062, 26494, 540, 2200, 543, 1883, 3344, 4857, 538, 3309, 2959, 267, 16159, 6791, 543, 12170, 4152, 538, 1445, 2516, 543, 30925, 609, 1153, 19178, 3177, 676, 2361, 11564, 547, 3506, 538, 10255, 543, 17577, 267, 585, 513, 3811, 7589, 540, 1053, 609, 27540, 4282, 538, 513, 1153, 2796, 563, 3719, 5892, 267, 602, 1590, 581, 2808, 538, 519, 11528, 543, 22228, 1935, 538, 799, 649, 616, 13883, 267, 602, 519, 1655, 21200, 543, 5610, 538, 1153, 540, 9241, 8452, 1053, 609, 27540, 10080, 786, 1152, 581, 2009, 538, 513, 5265, 5423, 2796, 269, 1924, 519, 476, 272, 560, 1445, 540, 6268, 1058, 581, 9859, 547, 519, 1153, 2796, 267, 519, 14422, 540, 519, 667, 3925, 267, 519, 10182, 540, 3610, 543, 10512, 23390, 267, 519, 1377, 540, 741, 7041, 543, 4656, 540, 18371, 21941, 269, 4935, 267, 1153, 2528, 543, 3919, 568, 519, 1101, 4494, 540, 6268, 547, 581, 2808, 538, 713, 3391, 630, 22517, 1054, 1299, 589, 1231, 322, 578, 267, 476, 1220, 273, 1916, 18744, 538, 513, 18756, 543, 5348, 1120, 2065, 7154, 1281, 519, 11556, 602, 568, 4843, 1118, 2631, 630, 298, 514, 8688, 320, 1299, 18947, 267, 476, 1220, 279, 1916, 9827, 267, 519, 4879, 1058, 2015, 519, 10832, 585, 8537, 1646, 1759, 593, 519, 8226, 540, 519, 2813, 1604, 11305, 11857, 267, 8537, 4507, 543, 2853, 689, 519, 5133, 540, 782, 1053, 269, 4475, 267, 519, 3391, 15109, 267, 693, 519, 1482, 942, 267, 519, 4015, 540, 1344, 689, 1053, 2907, 5432, 609, 519, 1153, 630, 293, 1716, 5451, 526, 14162, 5025, 337, 577, 8759, 1696, 620, 1421, 476, 1708, 271, 1916, 2005, 5205, 476, 274, 1271, 1912, 1162, 267, 12077, 912, 5629, 8452, 538, 519, 3984, 2197, 267, 1053, 609, 27540, 4282, 786, 581, 5185, 609, 513, 1007, 2528, 267, 1893, 267, 609, 606, 3003, 1007, 4641, 267, 543, 786, 3976, 991, 2027, 1489, 538, 2185, 1292, 2127, 281, 1893, 267, 1565, 267, 9525, 540, 3885, 543, 2146, 267, 17685, 8590, 2069, 563, 300, 550, 11208, 568, 513, 3358, 1565, 12191, 1759, 593, 519, 5583, 2016, 676, 513, 21927, 630, 320, 1268, 609, 513, 1978, 1377, 540, 1995, 264, 547, 513, 6497, 2465, 630, 320, 1268, 1007, 547, 606, 1995, 270, 935, 3667, 1040, 769, 519, 3872, 2361, 267, 519, 3003, 1184, 568, 3622, 16913, 543, 24892, 676, 513, 4116, 563, 763, 1788, 570, 13263, 4932, 715, 8582, 729, 18931, 607, 513, 6153, 6657, 676, 519, 9167, 21180, 476, 1708, 271, 11554, 6828, 593, 5871, 18880, 543, 32213, 4065, 476, 1001, 277, 268, 1708, 271, 267, 607, 851, 540, 519, 3281, 754, 1756, 540, 6184, 25378, 13756, 593, 32213, 543, 15114, 2069, 269, 570, 13263, 4932, 715, 8582, 568, 513, 18734, 540, 16743, 1788, 267, 14102, 676, 519, 9167, 779, 28167, 13005, 30058, 10872, 269, 11649, 7757, 1063, 476, 1220, 278, 268, 1001, 275, 267, 621, 729, 1759, 593, 519, 30427, 29013, 1788, 570, 13263, 4932, 267, 799, 20083, 476, 2568, 19920, 267, 9907, 1063, 476, 1724, 268, 1839, 609, 930, 23003, 2348, 519, 1482, 2686, 4282, 267, 538, 1931, 547, 1489, 741, 3872, 543, 2866, 2619, 563, 307, 13263, 4932, 715, 8582, 729, 8045, 676, 606, 3486, 11450, 267, 1519, 3906, 689, 281, 15212, 267, 11894, 267, 7977, 267, 5125, 543, 8050, 269, 634, 1788, 15527, 547, 513, 1455, 1966, 540, 1082, 9167, 7239, 281, 19920, 609, 27540, 4282, 610, 689, 606, 6803, 12102, 4043, 547, 3668, 3617, 1909, 3631, 267, 799, 949, 3970 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 568, 4389, 1110, 25222, 476, 1704, 1287, 3921, 1704, 513, 17995, 2715, 272, 267, 273, 267, 275, 267, 279, 267, 1626, 20467, 630, 9767, 666, 1265, 782, 540, 873, 676, 2921, 9642, 7060, 540, 476, 274, 267, 952, 596, 1616, 1040, 700, 341, 476, 275, 269, 4033, 1644, 3601, 269, 865, 519, 18642, 5072, 616, 476, 273, 267, 277, 267, 278, 267, 279, 269, 9540, 652, 18642, 3597, 568, 519, 10545, 2318, 1297, 602, 568, 513, 18642, 3597, 1110, 25222, 513, 2016, 1297, 269, 15531, 4033, 10021, 1438, 24306, 630, 7116, 533, 264, 14597, 602, 649, 723, 513, 18642, 3597, 267, 575, 269, 1280, 1383, 267, 476, 273, 568, 513, 18642, 3597, 540, 476, 6795, 269, 2913, 781, 1449, 269, 1775, 917, 267, 519, 6780, 1966, 729, 547, 1265, 782, 476, 279, 267, 855, 1775, 729, 1175, 11842, 1946, 476, 273, 4769, 1405, 960, 269, 10021, 1438, 24306, 18185, 269, 476, 273, 317, 1626, 815, 476, 277, 4649, 3607, 799, 568, 21412, 547, 476, 272, 1110, 263, 1704, 264, 6904, 1797, 621, 1058, 581, 513, 18642, 3597, 540, 476, 1704, 269, 1280, 621, 547, 581, 513, 18642, 3597, 540, 533, 267, 621, 781, 2838, 602, 519, 10545, 1871, 540, 554, 971, 602, 476, 273, 554, 568, 21412, 547, 476, 272, 1110, 533, 581, 533, 910, 476, 272, 269, 476, 275, 1296, 3516, 269, 476, 274, 476, 271, 269, 1010, 600, 3291, 514, 269, 634, 1101, 476, 1015, 267, 1822, 22136, 267, 952, 596, 991, 930, 6667, 269, 8382, 1948, 273, 1923, 476, 866, 270, 6860, 476, 1001, 276, 476, 866, 281, 1321, 769, 16460, 606, 4505, 2243, 267, 594, 4951, 602, 476, 274, 568, 513, 18642, 3597, 540, 476, 1704, 269, 5291, 2517, 4178, 269, 1042, 9016, 2593, 29265, 270, 3832, 520, 520, 4118, 24610, 1740, 269, 1775, 7058, 621, 23652, 27235, 267, 621, 729, 9277, 547, 2161, 476, 22332, 543, 476, 21327, 267, 1775, 3513, 979, 4368, 602, 267, 1715, 8292, 3112, 581, 11540, 543, 16018, 3112, 581, 5641, 267, 4964, 808, 547, 7914, 547, 519, 3049, 269, 10021, 1438, 17848, 11473, 269, 4935, 519, 7060, 540, 476, 273, 689, 476, 272, 547, 476, 1626, 4465, 1405, 1106, 519, 5551, 2347, 4389, 21225, 1362, 269, 1635, 1210, 938, 7896, 610, 14467, 594, 3858, 267, 596, 3858, 547, 938, 946, 540, 12897, 269, 10021, 1438, 17848, 18185, 269, 594, 723, 726, 28289, 998, 519, 4214, 540, 519, 18642, 3597, 540, 476, 1704, 267, 1912, 328, 263, 1704, 264, 815, 476, 1626, 269, 898, 786, 5173, 519, 18642, 5072, 540, 707, 1297, 269, 476, 274, 9943, 1556, 815, 476, 3451, 9881, 350, 476, 273, 700, 341, 476, 275, 269, 9090, 786, 946, 602, 538, 519, 2104, 269, 3371, 568, 513, 3349, 540, 741, 7060, 1110, 25222, 476, 1691, 281, 9717, 602, 476, 273, 568, 513, 18642, 3597, 540, 476, 6795, 267, 1265, 476, 1704, 824, 18642, 5072, 2560, 13648, 625, 948, 721, 5838, 938, 7896, 269, 2338, 616, 6305, 547, 476, 1015, 269, 1651, 784, 745, 550, 18642, 5072, 540, 476, 1704, 780, 294, 31938, 514, 26560, 715, 10212, 1115, 12594, 267, 2398, 338, 7066, 23992, 328, 1530, 9208, 267, 645, 321, 336, 4446, 1090, 1495, 328, 32544, 267, 23621, 268, 10695, 10632, 10684, 12668, 267, 14564, 476, 280, 715, 3464, 341, 267, 476, 272, 23959, 335, 3019, 2986, 667, 3072, 29807, 2917, 769, 717, 2449, 267, 2271, 749, 643, 1707, 24793, 11261, 267, 570, 739, 527, 657, 32202, 8759, 932, 2354, 2836, 1559, 267, 18903, 6206, 4580, 20010, 594, 25247, 1160, 267, 28932, 2426, 667, 341, 323, 22647, 6513, 27491, 267, 6307, 781, 623, 14040, 1744, 871, 29968, 22496, 1234, 10360, 267, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 275, 692, 258, 26344, 6248, 14740, 692, 307, 3419, 517, 6248, 14740, 1403, 1079, 7215, 616, 3160, 585, 782, 2418, 540, 519, 4632, 267, 1287, 519, 6935, 568, 1572, 606, 3961, 269, 1280, 1383, 1535, 273, 476, 280, 815, 630, 343, 476, 274, 264, 630, 343, 1341, 476, 274, 264, 543, 630, 343, 513, 264, 630, 343, 536, 264, 1315, 630, 322, 513, 264, 630, 322, 536, 264, 1341, 630, 343, 536, 264, 630, 343, 524, 264, 1315, 630, 320, 536, 264, 630, 320, 524, 264, 1341, 630, 343, 524, 264, 630, 343, 513, 264, 1315, 630, 321, 524, 264, 630, 321, 513, 264, 815, 476, 272, 269, 616, 15821, 9163, 607, 789, 616, 13854, 676, 1169, 1871, 540, 519, 4756, 1535, 269, 769, 824, 1913, 606, 3830, 602, 2882, 25066, 12753, 540, 606, 5086, 568, 1767, 547, 581, 513, 25066, 3961, 952, 621, 568, 13854, 585, 782, 2418, 540, 585, 799, 519, 2016, 25066, 12753, 616, 3989, 269, 1280, 1383, 5430, 273, 910, 476, 272, 270, 273, 815, 5430, 630, 6523, 910, 3738, 568, 513, 25066, 3961, 267, 6466, 5430, 630, 6523, 910, 3738, 815, 476, 271, 568, 606, 3830, 269, 4746, 3813, 815, 476, 272, 270, 5430, 568, 513, 25066, 3961, 267, 1317, 621, 6585, 585, 782, 2418, 540, 7117, 4849, 585, 799, 5430, 815, 476, 271, 269, 1280, 5430, 815, 476, 271, 269, 3813, 568, 711, 3989, 780, 307, 12460, 15132, 548, 2593, 692, 17273, 5591, 12727, 272, 270, 275, 692, 763, 1739, 3268, 1058, 581, 6854, 538, 2247, 1247, 2357, 4328, 25066, 9163, 4976, 269, 513, 264, 3399, 609, 811, 7294, 2427, 540, 519, 3961, 543, 6961, 621, 3160, 547, 519, 824, 2427, 269, 536, 264, 1403, 519, 3961, 3568, 20534, 267, 25482, 543, 824, 25066, 12753, 267, 1287, 2769, 782, 519, 12753, 538, 2474, 540, 20534, 543, 25482, 269, 524, 264, 1403, 835, 2427, 540, 606, 3961, 3112, 581, 3362, 4389, 547, 519, 824, 2427, 1287, 29776, 1312, 5011, 543, 18327, 873, 9838, 3160, 269, 546, 264, 2755, 18445, 9163, 267, 2760, 4483, 2474, 689, 835, 2427, 547, 1776, 269, 700, 1115, 6961, 930, 9163, 281, 476, 272, 269, 5609, 273, 1341, 5430, 273, 815, 476, 272, 769, 513, 1318, 513, 1318, 6906, 13235, 267, 1577, 595, 815, 2073, 1287, 676, 19456, 23768, 11532, 267, 649, 723, 9474, 273, 1341, 7460, 273, 815, 8028, 273, 29435, 532, 1312, 5011, 676, 8028, 273, 2073, 649, 1205, 9474, 273, 1315, 8028, 273, 1341, 7460, 273, 1315, 8028, 273, 815, 8028, 273, 1315, 8028, 273, 9474, 273, 1315, 8028, 273, 1341, 7460, 273, 1315, 8028, 273, 815, 476, 272, 630, 7562, 3738, 273, 1341, 630, 6523, 3738, 273, 815, 476, 272, 630, 7562, 815, 9474, 1315, 8028, 267, 5430, 815, 7460, 1315, 8028, 2020, 307, 12460, 15132, 548, 2593, 692, 17273, 5591, 12727, 273, 270, 275, 692, 7562, 273, 1341, 5430, 273, 815, 476, 272, 1306, 513, 5311, 540, 519, 1657, 3961, 649, 666, 946, 476, 272, 5609, 273, 815, 5430, 273, 543, 476, 272, 910, 5430, 273, 815, 5609, 273, 476, 273, 269, 476, 272, 1341, 16009, 476, 273, 815, 3813, 273, 769, 513, 1318, 513, 1318, 6906, 13235, 267, 1577, 595, 815, 2073, 1287, 676, 19456, 23768, 11532, 267, 649, 723, 9474, 273, 1341, 7460, 273, 815, 8028, 273, 29435, 532, 1312, 5011, 676, 6195, 273, 2073, 649, 1205, 9474, 273, 1315, 7460, 273, 1341, 7460, 273, 1315, 7460, 273, 815, 8028, 273, 1315, 7460, 273, 9474, 273, 1315, 8028, 273, 1341, 7460, 273, 1315, 8028, 273, 815, 476, 272, 630, 5723, 1315, 7460, 264, 273, 1341, 476, 272, 815, 630, 8028, 1315, 7460, 264, 476, 273, 630, 11927, 3738, 273, 1341, 476, 272, 815, 630, 5913, 3738, 273, 630, 5723, 1315, 7460, 815, 16009, 2073, 8028, 1315, 7460, 815, 3813, 3738, 476, 272, 1341, 16009, 476, 273, 815, 3813, 273, 1306, 513, 5311, 540, 519, 1657, 3961, 649, 666, 946, 3813, 273, 910, 16009, 273, 815, 476, 272, 543, 3813, 476, 273, 910, 476, 272, 284, 16009, 273, 6271, 3961, 568, 476, 272, 1341, 28422, 273, 815, 524, 846, 322, 273, 2073, 649, 666, 849, 6961, 713, 676, 519, 1482, 1259, 780, 307, 12460, 15132, 548, 2593, 692, 17273, 5591, 12727, 274, 270, 275, 8525, 5591, 12727, 273, 270, 274, 692, 14188, 2791, 2690, 310, 10248, 692, 303, 19948, 0, 1892, 8073, 10055, 692, 258, 1547, 27807, 1721, 636, 780, 300, 1897, 4595, 476, 2420, 5463, 476, 1001, 271, 454, 19423, 1467, 7831, 15765, 2904, 476, 1428, 476, 1001, 272, 476, 5400, 281, 3607, 7537, 692, 2162, 1948, 9818, 4510, 272, 290, 3201, 290, 308, 6369, 16249, 1100, 540, 4551, 538, 3312, 3732, 1862, 12898, 8920, 1903, 286, 1496, 25802, 15562, 18306, 6581, 692, 16829, 593, 476, 1724, 4728, 476, 1001, 272, 910, 476, 6860, 281, 5325, 7537, 692, 11065, 1470, 1721, 636, 1421, 593, 476, 1321, 4728, 476, 1001, 272, 910, 476, 6187, 281, 1626, 6751, 267, 1767, 1384, 514, 8920, 1081, 476, 1015, 28260, 276, 815, 476, 274, 630, 810, 1100, 540, 11248, 270, 6447, 568, 630, 274, 1535, 476, 276, 8358, 271, 269, 272, 284, 476, 272, 269, 2004, 1535, 476, 9083, 2020, 322, 746, 596, 2491, 1018, 596, 798, 2496, 296, 21645, 1174, 1018, 596, 1611, 676, 630, 274, 343, 276, 8358, 271, 267, 272, 815, 476, 272, 269, 276, 1535, 476, 9083, 692, 274, 311, 276, 815, 476, 1428, 267, 5258, 676, 476, 271, 267, 272, 815, 476, 5611, 1109, 1109, 1080, 711, 519, 1482, 607, 476, 272, 269, 276, 343, 9083, 7790, 594, 21645, 1174, 602, 907, 23893, 585, 519, 824, 8920, 1903, 10756, 263, 296, 1174, 596, 7941, 676, 476, 271, 267, 272, 1317, 922, 476, 271, 267, 272, 16720, 267, 855, 1018, 596, 1287, 798, 907, 594, 21645, 1205, 621, 286, 9320, 596, 1500, 513, 12161, 286, 5221, 12270, 676, 476, 271, 267, 272, 568, 519, 1482, 607, 14921, 609, 476, 1015, 1862, 596, 1705, 519, 6587, 267, 855, 1287, 519, 476, 9083, 7790, 1772, 602, 476, 1015, 317, 273, 7790, 2020, 12179, 3118, 1384, 604, 596, 723, 513, 3732, 602, 596, 29809, 476, 1015, 2053, 543, 596, 1293, 476, 736, 4551, 1287, 875, 1082, 798, 596, 723, 538, 519, 711, 29809, 3732, 2496, 3086, 649, 2097, 547, 519, 2034, 851, 281, 1018, 952, 594, 723, 811, 1287, 476, 272, 8920, 1081, 630, 3697, 596, 264, 1287, 875, 798, 594, 4194, 621, 2496, 1432, 798, 596, 1589, 2496, 7078, 1384, 296, 723, 513, 3732, 2073, 594, 32561, 621, 476, 1015, 2053, 267, 476, 1911, 2053, 543, 476, 1911, 271, 2053, 780, 7069, 476, 272, 270, 1015, 3732, 3947, 803, 281, 476, 1911, 4551, 454, 3240, 476, 272, 270, 1911, 3732, 3947, 803, 476, 279, 4551, 454, 663, 1250, 476, 272, 270, 1911, 271, 3732, 3947, 803, 476, 273, 4551, 780, 5575, 3364, 596, 798, 568, 834, 2998, 1394, 547, 519, 610, 326, 1400, 3732, 4840, 2525, 11417, 1492, 476, 272, 270, 1015, 3732, 568, 29809, 476, 1015, 2053, 267, 865, 519, 3312, 568, 281, 476, 1015, 4551, 2473, 476, 1015, 630, 323, 559, 3176, 476, 1015, 2053, 264, 815, 476, 1911, 271, 4551, 454, 763, 476, 272, 270, 1911, 3732, 568, 29809, 476, 1911, 2053, 267, 3312, 568, 3976, 281, 476, 279, 1535, 476, 1911, 815, 476, 8517, 4551, 454, 763, 476, 272, 270, 1911, 271, 3732, 568, 29809, 476, 1911, 271, 2053, 267, 3312, 568, 3976, 281, 476, 273, 343, 476, 1911, 271, 815, 476, 1220, 271, 4551, 692, 3086, 875, 1082, 4551, 941, 972, 538, 519, 3312, 835, 2496, 2080, 568, 782, 5673, 593, 519, 3652, 596, 4121, 780, 1103, 2489, 1004, 786, 1152, 946, 1346, 10824, 602, 814, 513, 1297, 540, 4551, 593, 621, 1063, 476, 1789, 543, 476, 1220, 268, 6110, 780, 3383, 538, 713, 1383, 649, 1152, 946, 6676, 1297, 476, 272, 630, 1492, 476, 272, 270, 1015, 264, 609, 519, 476, 1911, 4551, 780, 2252, 596, 1185, 811, 10824, 609, 4551, 538, 519, 2039, 540, 476, 1789, 268, 6110, 596, 1185, 547, 1491, 519, 3328, 1862, 630, 528, 4470, 593, 519, 3652, 2073, 519, 1034, 29809, 3283, 610, 519, 2547, 29809, 3283, 2020, 3086, 267, 2469, 1394, 547, 707, 1383, 1384, 32621, 692, 514, 8920, 1081, 476, 1015, 268, 317, 274, 815, 476, 12293, 630, 810, 1100, 540, 11248, 270, 6447, 568, 630, 12293, 1535, 476, 274, 8358, 271, 269, 272, 284, 476, 276, 269, 2764, 1535, 476, 9818, 994, 514, 8920, 1081, 476, 1015, 28260, 275, 815, 476, 3393, 630, 810, 1100, 540, 11248, 270, 6447, 568, 630, 3393, 1535, 476, 275, 8358, 271, 269, 272, 284, 476, 272, 269, 3199, 1535, 476, 9818, 994, 514, 8920, 1081, 476, 1015, 28260, 276, 815, 476, 274, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20939, 10954, 282, 290, 582, 20939, 343, 2410, 290, 2675, 20939, 343, 10592, 763, 2626, 547, 713, 835, 568, 1269, 20376, 20939, 343, 269, 259, 594, 6415, 2186, 320, 11821, 593, 875, 789, 3893, 621, 1317, 594, 8694, 909, 609, 1269, 290, 657, 20939, 343, 14204, 1892, 4924, 476, 2190, 628, 476, 1220, 279, 267, 476, 4962, 281, 7906, 6751, 454, 297, 515, 341, 517, 454, 32621, 1384, 23192, 17397, 676, 744, 3960, 10048, 454, 8245, 680, 1518, 519, 2016, 4082, 269, 634, 1267, 786, 581, 835, 540, 1269, 7562, 20939, 1535, 267, 31046, 6523, 20939, 1535, 12101, 282, 16009, 20939, 1535, 12101, 282, 28422, 20939, 1535, 12101, 282, 3813, 20939, 1535, 12101, 282, 610, 20939, 524, 2675, 20939, 1535, 269, 6911, 7445, 2765, 346, 307, 534, 20939, 343, 20939, 10954, 282, 290, 582, 20939, 343, 2410, 290, 2675, 20939, 343, 10592, 763, 2626, 547, 713, 835, 568, 1269, 20376, 20939, 343, 269, 259, 594, 6415, 2186, 320, 11821, 593, 875, 789, 3893, 621, 1317, 594, 8694, 909, 609, 1269, 290, 657, 20939, 343, 6911, 9616, 281, 4399, 2765, 11513, 11927, 1535, 1341, 1422, 20799, 1535, 7346, 322, 2675, 1535, 348, 815, 1422, 7562, 1535, 22570, 11927, 1535, 1341, 28422, 1535, 22491, 322, 2675, 3287, 264, 815, 476, 272, 4882, 514, 3287, 2020, 328, 15475, 596, 1705, 1945, 899, 524, 2675, 3287, 264, 815, 476, 272, 270, 6523, 3287, 1040, 4523, 782, 519, 942, 454, 1892, 4924, 476, 2190, 628, 476, 1220, 279, 267, 476, 6187, 281, 2764, 6751, 454, 302, 3960, 10048, 454, 27745, 596, 948, 803, 856, 609, 28976, 621, 286, 594, 6415, 2186, 320, 12758, 269, 2052, 1405, 3100, 547, 1205, 27116, 1535, 607, 1250, 2626, 563, 1892, 4924, 476, 2190, 628, 476, 1220, 279, 267, 476, 6187, 281, 4343, 6751, 454, 297, 515, 341, 517, 454, 32621, 1384, 23192, 17397, 676, 744, 3960, 10048, 454, 27745, 596, 948, 803, 856, 609, 28976, 621, 286, 594, 6415, 2186, 320, 12758, 269, 2052, 1405, 3100, 547, 1205, 27116, 1535, 607, 1250, 2626, 780, 7445, 7562, 1535, 22570, 11927, 1535, 1341, 1422, 20799, 1535, 264, 815, 1422, 7562, 1535, 1422, 11927, 1535, 1341, 1422, 7562, 1535, 1422, 20799, 1535, 815, 1422, 7562, 1535, 1422, 10383, 1422, 2765, 11513, 7562, 1535, 7346, 6523, 1535, 348, 1341, 1422, 7562, 1535, 1422, 10383, 1422, 2765, 11513, 6523, 1535, 7346, 7562, 1535, 10592, 852, 14458, 519, 8454, 267, 9192, 873, 543, 3136, 454, 1892, 4924, 476, 2190, 628, 476, 1220, 279, 267, 476, 6187, 281, 2004, 6751, 454, 302, 3960, 10048, 454, 12552, 269, 15020, 1279, 1966, 267, 855, 594, 3893, 519, 1318, 2626, 269, 630, 305, 1993, 331, 264, 0, 272, 269, 12361, 9351, 2243, 692, 296, 723, 547, 1265, 519, 5021, 1858, 540, 513, 13551, 602, 2907, 814, 513, 476, 1911, 332, 20545, 538, 519, 2666, 267, 543, 594, 993, 2016, 476, 1220, 332, 547, 1039, 5196, 621, 269, 1717, 267, 1250, 2626, 3085, 1405, 1118, 2631, 1384, 288, 284, 321, 1535, 554, 454, 303, 284, 4968, 284, 273, 321, 1341, 476, 273, 327, 454, 4968, 284, 273, 263, 1911, 21147, 11924, 273, 327, 454, 4968, 284, 1220, 266, 273, 343, 266, 273, 327, 454, 327, 284, 2004, 14870, 454, 288, 284, 321, 263, 2004, 14870, 994, 288, 284, 2004, 321, 14870, 321, 454, 323, 288, 7933, 321, 815, 476, 2004, 14870, 454, 271, 284, 2004, 14870, 454, 343, 284, 2004, 692, 296, 723, 547, 1265, 519, 5021, 1858, 540, 513, 13551, 602, 2907, 814, 513, 476, 1911, 332, 20545, 538, 519, 2666, 267, 543, 594, 993, 2016, 476, 1220, 332, 547, 1039, 5196, 621, 269, 1717, 267, 1250, 2626, 3085, 1405, 1118, 2631, 1384, 288, 284, 321, 1535, 554, 454, 303, 284, 4968, 284, 273, 321, 1341, 476, 273, 327, 454, 4968, 284, 273, 263, 1911, 21147, 11924, 273, 327, 454, 4968, 284, 1220, 266, 273, 343, 266, 273, 327, 454, 327, 284, 2004, 14870, 454, 288, 284, 321, 263, 2004, 14870, 2020, 321, 284, 1911, 21147, 692, 288, 14352, 1911, 21147, 7565, 2004, 14870, 6661, 4335, 271, 268, 2004, 343, 14870, 317, 273, 692, 323, 288, 7933, 343, 15871, 273, 343, 268, 2004, 692, 343, 15871, 1839, 692, 288, 284, 2004, 321, 14870, 321, 454, 323, 288, 7933, 321, 815, 476, 2004, 14870, 454, 271, 284, 2004, 14870, 454, 343, 284, 2004, 454, 17798, 267, 596, 1590, 1711, 513, 737, 1074, 538, 519, 476, 1911, 332, 2427, 865, 602, 621, 568, 476, 4037, 332, 1279, 1310, 780, 274, 269, 594, 1589, 519, 3483, 540, 519, 2243, 568, 602, 835, 2427, 814, 547, 581, 693, 548, 770, 476, 1911, 332, 267, 538, 707, 2626, 789, 616, 1312, 476, 4037, 269, 3143, 737, 3855, 4847, 269, 8729, 1498, 256, 0, 1012, 14349, 267, 4864, 476, 3066, 267, 476, 1220, 280, 692, 2162, 631, 275, 301, 275, 321, 910, 15043, 6498, 6620, 630, 273, 2020, 300, 275, 301, 275, 269, 4841, 786, 2417, 1020, 741, 1620, 540, 6498, 540, 2898, 2338, 543, 7941, 538, 1966, 6061, 3871, 1510, 26732, 563, 321, 269, 16534, 2042, 5473, 6498, 676, 476, 272, 610, 476, 273, 18251, 2338, 630, 10175, 1346, 602, 5352, 513, 14230, 1040, 1103, 519, 3105, 2022, 827, 519, 1279, 6498, 5690, 267, 594, 5018, 602, 519, 851, 1438, 630, 325, 1515, 4687, 264, 6498, 949, 581, 811, 3730, 547, 1020, 602, 5690, 269, 1548, 1053, 1522, 798, 547, 2203, 513, 851, 1438, 1966, 609, 6405, 2326, 899, 3490, 268, 1015, 7161, 786, 6474, 909, 1360, 23182, 609, 519, 1957, 7146, 1790, 523, 4290, 5690, 596, 616, 3843, 547, 948, 1053, 1020, 269, 1548, 786, 4755, 952, 649, 723, 513, 9889, 1438, 630, 1889, 5501, 618, 267, 610, 7368, 12408, 264, 6498, 1966, 286, 2913, 781, 1413, 693, 9046, 476, 273, 689, 519, 2063, 2022, 912, 19370, 476, 273, 281, 1703, 616, 476, 7761, 9212, 540, 4070, 1957, 269, 1403, 596, 1118, 15985, 956, 540, 476, 275, 9212, 267, 875, 1082, 15985, 956, 666, 596, 1118, 286, 2414, 4194, 713, 1966, 1210, 6405, 2326, 267, 1053, 786, 1118, 2516, 540, 476, 275, 269, 10705, 2053, 267, 4079, 630, 528, 1053, 264, 786, 4766, 519, 1101, 1900, 540, 519, 1279, 6498, 676, 6031, 267, 834, 6011, 1082, 2053, 666, 476, 275, 979, 883, 476, 278, 8119, 1717, 267, 2094, 649, 616, 7231, 609, 476, 7761, 267, 834, 278, 257, 568, 2965, 476, 278, 22203, 269, 1677, 6474, 909, 519, 5690, 267, 1018, 649, 616, 6998, 6000, 568, 267, 834, 6011, 1082, 2516, 540, 476, 275, 22203, 666, 649, 1118, 609, 476, 278, 22203, 8119, 634, 1249, 602, 596, 666, 1118, 476, 272, 1895, 540, 476, 275, 22203, 267, 2965, 5267, 602, 649, 666, 1118, 476, 1015, 2516, 540, 476, 275, 4559, 269, 1924, 267, 952, 596, 2907, 917, 519, 1279, 6498, 5690, 267, 596, 666, 1118, 519, 1184, 6474, 519, 5690, 269, 1717, 267, 585, 1453, 945, 616, 1565, 519, 5690, 585, 519, 1101, 942, 267, 602, 4305, 3884, 1405, 607, 3551, 607, 621, 786, 581, 609, 519, 851, 1438, 6498, 780, 4913, 267, 713, 4244, 1259, 540, 3168, 693, 6498, 949, 581, 3730, 950, 596, 616, 2965, 12270, 676, 1804, 2338, 910, 899, 950, 596, 723, 547, 7941, 676, 513, 476, 273, 18251, 1297, 538, 6103, 476, 275, 269, 14597, 596, 723, 519, 1739, 1966, 912, 19370, 476, 274, 281, 1703, 616, 476, 4198, 271, 9212, 540, 4070, 1957, 269, 1403, 596, 1118, 15985, 956, 540, 476, 4343, 9212, 267, 875, 1082, 15985, 956, 666, 596, 1118, 286, 3383, 267, 596, 786, 2307, 267, 834, 6011, 1082, 2053, 666, 476, 4343, 979, 883, 476, 4198, 8119, 1677, 7447, 713, 9864, 23479, 267, 596, 949, 5180, 909, 476, 4343, 543, 1589, 827, 267, 834, 6011, 1082, 2053, 666, 476, 2412, 979, 883, 476, 4198, 8119, 476, 2412, 343, 276, 568, 476, 1220, 267, 543, 602, 781, 1932, 2462, 269, 1924, 596, 7447, 519, 9937, 7857, 540, 519, 23479, 568, 476, 275, 269, 1411, 9062, 476, 4343, 343, 275, 543, 10208, 621, 689, 476, 4198, 543, 1205, 519, 3017, 540, 476, 6246, 256, 1924, 267, 519, 9937, 7857, 540, 519, 23479, 1590, 581, 476, 276, 267, 711, 476, 275, 269, 1924, 267, 596, 723, 547, 556, 23343, 1529, 622, 780, 21156, 540, 3257, 713, 267, 596, 666, 1589, 827, 519, 1966, 8335, 269, 634, 2243, 568, 547, 3313, 875, 1082, 2516, 540, 476, 4343, 596, 666, 1118, 609, 476, 4198, 271, 269, 1403, 596, 723, 513, 10257, 1297, 2631, 267, 596, 666, 1294, 602, 519, 5595, 540, 476, 4343, 786, 581, 476, 10602, 269, 1924, 267, 596, 666, 3362, 1118, 476, 736, 2516, 267, 610, 946, 476, 31318, 9212, 269, 476, 4198, 271, 910, 476, 31318, 815, 476, 15686, 271, 267, 865, 596, 666, 1118, 1776, 1305, 540, 476, 736, 2516, 269, 476, 15686, 271, 910, 476, 31318, 815, 476, 25396, 267, 865, 649, 666, 1118, 476, 1015, 811, 2516, 269, 476, 25396, 910, 476, 23884, 815, 2004, 267, 543, 602, 781, 835, 811, 1895, 269, 476, 2004, 910, 476, 4343, 815, 476, 1321, 267, 865, 649, 666, 1405, 1118, 1022, 811, 1895, 269, 4475, 267, 649, 1500, 476, 736, 1341, 476, 736, 1341, 476, 1015, 1341, 476, 272, 815, 476, 7906, 2516, 267, 609, 476, 1321, 9212, 2451, 936, 780, 1607, 1184, 666, 581, 1500, 883, 513, 2854, 1184, 899, 713, 1384, 1607, 5690, 568, 3006, 1572, 519, 2480, 3530, 1245, 5690, 269, 11524, 949, 1289, 621, 513, 834, 1721, 15130, 1505, 2437, 607, 621, 3085, 1405, 2154, 519, 1655, 7447, 540, 519, 9864, 23479, 269, 898, 568, 3730, 538, 930, 3871, 267, 899, 950, 519, 27708, 3587, 1804, 269, 9701, 782, 1053, 917, 713, 5690, 286, 594, 993, 711, 865, 2386, 269, 2290, 540, 519, 1271, 2093, 540, 3450, 1053, 12985, 6620, 568, 602, 1053, 1174, 602, 609, 938, 1003, 3130, 1062, 267, 649, 666, 1413, 4163, 856, 9819, 676, 2519, 593, 835, 1747, 1871, 693, 513, 942, 269, 901, 5690, 13000, 519, 2338, 630, 15965, 30583, 264, 607, 513, 2898, 780, 4002, 519, 824, 1688, 267, 621, 1281, 723, 930, 28252, 607, 649, 666, 1294, 269, 1280, 803, 267, 3450, 540, 606, 5690, 1797, 4543, 1453, 1118, 741, 1378, 5773, 630, 5976, 6405, 2326, 610, 3206, 2994, 264, 883, 513, 2854, 5650, 269, 1924, 267, 952, 1453, 5749, 1405, 3206, 713, 1259, 267, 1287, 25412, 513, 1505, 3085, 1405, 3100, 547, 581, 1932, 11327, 269, 2986, 1576, 267, 676, 6998, 1053, 547, 1589, 827, 9889, 1438, 630, 1889, 5501, 618, 264, 6498, 2042, 267, 596, 666, 2333, 519, 10171, 540, 1053, 3206, 713, 1259, 267, 1932, 780, 2252, 649, 616, 547, 4001, 713, 5690, 267, 594, 1589, 621, 568, 1271, 585, 1053, 547, 8275, 950, 713, 1505, 1522, 581, 811, 3730, 982, 519, 1279, 6498, 5690, 269, 1284, 1616, 1053, 547, 1118, 10995, 3664, 827, 875, 547, 5173, 910, 799, 5690, 547, 946, 267, 2436, 610, 711, 606, 16759, 568, 1434, 2614, 267, 3092, 269, 1924, 267, 952, 713, 5690, 568, 3769, 538, 707, 6437, 267, 594, 5000, 596, 547, 948, 707, 1053, 1174, 922, 26350, 865, 602, 789, 666, 946, 1114, 2409, 4827, 4601, 780, 7922, 1678, 1767, 13718, 296, 4898, 568, 3211, 602, 798, 513, 2370, 1688, 3620, 13783, 1131, 948, 547, 2087, 6015, 543, 1205, 5432, 609, 519, 5690, 1862, 1945, 899, 891, 1279, 6498, 3211, 269, 0, 307, 11698, 267, 4924, 476, 1839, 692, 272, 1315, 476, 3374, 692, 258, 13638, 267, 4924, 476, 1839, 910, 17948, 623, 8976, 19809, 692, 307, 11698, 267, 4924, 476, 1839, 269, 3848, 476, 1015, 5623, 269, 3848, 476, 1015, 5623, 269, 4855, 519, 1858, 540, 519, 12476, 269, 18471, 547, 519, 14282, 20870, 267, 952, 2556, 269, 1547, 3848, 476, 1015, 5623, 269, 1548, 568, 519, 1858, 540, 519, 12476, 286, 18471, 547, 519, 14282, 20870, 267, 952, 2556, 269, 645, 815, 476, 280, 269, 272, 1535, 476, 279, 815, 476, 7761, 269, 279, 514, 11054, 269, 3848, 476, 1015, 5623, 780, 296, 993, 519, 8227, 267, 610, 606, 8665, 17101, 547, 957, 593, 15773, 540, 519, 8227, 267, 540, 519, 10677, 539, 960, 4330, 780, 1012, 17948, 6215, 1938, 6011, 827, 1412, 13638, 267, 4924, 476, 1839, 262, 910, 524, 599, 5055, 692, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6701, 972, 12217, 769, 8750, 344, 888, 310, 10248, 2831, 538, 741, 5065, 7226, 666, 581, 513, 12300, 851, 540, 707, 3643, 547, 513, 3084, 6288, 269, 8750, 344, 2817, 5244, 568, 1753, 547, 1082, 2831, 1519, 3109, 7703, 267, 31352, 1774, 267, 4779, 846, 267, 543, 13650, 563, 6701, 972, 4779, 846, 538, 8750, 344, 2817, 5244, 888, 763, 4779, 846, 568, 519, 4102, 25850, 538, 8750, 344, 2817, 5244, 543, 568, 606, 1271, 5057, 540, 519, 6298, 1014, 4104, 5117, 269, 634, 4779, 846, 568, 519, 4102, 2713, 13650, 269, 634, 4779, 846, 568, 1034, 3742, 693, 3781, 855, 666, 581, 2938, 1022, 942, 540, 1554, 563, 3674, 8750, 344, 2817, 5244, 4502, 9683, 888, 2005, 779, 9090, 4502, 513, 3643, 269, 476, 280, 269, 674, 7037, 16511, 1023, 1107, 1715, 19839, 1873, 1157, 543, 8750, 344, 2817, 5244, 568, 1753, 547, 930, 540, 519, 3659, 31586, 1004, 594, 4076, 1558, 538, 513, 1279, 942, 630, 11004, 616, 1978, 4025, 538, 1715, 4789, 267, 1250, 1699, 1753, 1533, 1373, 835, 540, 873, 267, 602, 616, 10691, 865, 7874, 1916, 1432, 568, 8750, 344, 6288, 1634, 585, 888, 293, 1495, 344, 2817, 5244, 267, 3084, 6288, 538, 1715, 19839, 1873, 1157, 267, 4516, 267, 593, 519, 9533, 5032, 6772, 8504, 519, 7345, 540, 8750, 344, 267, 7074, 585, 922, 29099, 1164, 543, 3728, 8573, 7342, 29500, 269, 634, 29500, 972, 2196, 607, 1164, 607, 476, 3583, 3952, 630, 2641, 544, 1070, 2362, 982, 1022, 824, 1634, 1747, 593, 3047, 269, 6693, 12663, 12217, 4734, 596, 4805, 952, 596, 1796, 707, 2666, 888, 7230, 664, 1869, 282, 1796, 707, 2666, 855, 7444, 5951, 707, 7916, 269, 6435, 519, 7703, 5431, 596, 607, 513, 1480, 269, 898, 949, 2097, 6251, 610, 1796, 593, 922, 12042, 7953, 547, 1205, 513, 1732, 1413, 610, 9329, 269, 13773, 9350, 543, 3314, 602, 1034, 12217, 798, 711, 1616, 547, 4323, 596, 282, 789, 2356, 1175, 1616, 547, 581, 2451, 4805, 563, 3674, 972, 7823, 21495, 538, 1715, 19839, 1873, 1157, 888, 18850, 9084, 11657, 539, 20825, 540, 4172, 3258, 538, 519, 11662, 723, 1044, 4686, 269, 2480, 520, 543, 13475, 5156, 547, 581, 602, 540, 4172, 3258, 941, 4092, 2282, 1546, 619, 23014, 538, 476, 1960, 273, 269, 2776, 16227, 267, 519, 1034, 2487, 6169, 2139, 1185, 2097, 689, 513, 4172, 3258, 9575, 2673, 547, 519, 19051, 268, 20563, 8473, 538, 476, 4350, 279, 563, 1432, 2831, 616, 1336, 693, 8750, 344, 2817, 5244, 888, 2467, 616, 1472, 476, 4343, 2249, 538, 519, 6288, 267, 1346, 1034, 4122, 2938, 1331, 6777, 3333, 4141, 688, 516, 267, 13863, 332, 6064, 267, 2699, 29160, 267, 2370, 6960, 10627, 267, 9456, 31352, 1774, 267, 3043, 26904, 13650, 543, 4779, 846, 269, 631, 5366, 616, 519, 4102, 2831, 538, 519, 6288, 543, 949, 9260, 909, 547, 476, 1911, 271, 13532, 563, 1432, 2831, 616, 538, 519, 7345, 540, 8750, 344, 888, 763, 7345, 540, 8750, 344, 568, 513, 524, 564, 864, 534, 28326, 13607, 267, 609, 1295, 651, 267, 1710, 267, 1208, 335, 3724, 543, 3345, 9533, 1318, 16385, 267, 1927, 609, 3771, 13118, 11188, 17763, 2478, 267, 3043, 21758, 23522, 543, 606, 5044, 540, 26026, 8674, 563, 1692, 1279, 1281, 621, 1491, 547, 5397, 998, 8750, 344, 2817, 5244, 888, 763, 13009, 568, 711, 1930, 547, 6517, 2394, 2904, 269, 898, 3217, 827, 606, 5662, 547, 5397, 519, 13009, 1312, 2081, 267, 3476, 952, 596, 3247, 693, 519, 1413, 8083, 630, 516, 5570, 2105, 1040, 898, 786, 1491, 811, 982, 476, 3445, 3764, 547, 5397, 689, 519, 13009, 547, 519, 7542, 787, 563, 1432, 2306, 8750, 344, 2817, 5244, 2189, 888, 763, 5244, 20502, 513, 27726, 23795, 799, 14380, 909, 547, 519, 8225, 4400, 4133, 267, 519, 5207, 29500, 538, 519, 1158, 543, 811, 982, 476, 1839, 1216, 17517, 269, 634, 5244, 6227, 606, 1858, 540, 476, 21709, 5998, 273, 630, 3199, 13483, 11465, 264, 2059, 3619, 846, 7345, 267, 519, 32720, 7936, 540, 519, 7345, 540, 8750, 344, 269, 1703, 616, 476, 1839, 19482, 18162, 2429, 519, 6288, 563, 3674, 8750, 344, 2786, 888, 10214, 1498, 8750, 344, 14439, 5128, 607, 513, 2786, 5256, 267, 1010, 11655, 3323, 10478, 585, 8750, 344, 779, 4638, 10066, 593, 519, 4950, 1310, 519, 3381, 540, 1010, 28149, 16806, 4682, 2228, 593, 1010, 13334, 8756, 563, 8005, 568, 8750, 344, 6580, 888, 2026, 829, 519, 2923, 267, 8750, 344, 568, 4867, 538, 513, 2078, 609, 1010, 8004, 23136, 12882, 11366, 391, 506, 623, 807, 12882, 11366, 391, 506, 543, 519, 7008, 5526, 547, 12882, 11366, 22935, 1411, 666, 2307, 1864, 891, 2055, 543, 849, 2285, 707, 2626, 610, 1491, 7140, 6998, 1142, 824, 2055, 269, 0, 1432, 568, 7843, 335, 1229, 19371, 888, 1692, 568, 7843, 335, 1229, 19371, 17214, 286, 7843, 335, 1229, 4837, 568, 513, 1826, 540, 3106, 4837, 602, 568, 2966, 547, 581, 6793, 543, 811, 14463, 982, 2834, 4837, 269, 898, 568, 1500, 676, 8022, 909, 2834, 4837, 547, 513, 1360, 1164, 2837, 543, 1287, 9023, 621, 1524, 6385, 269, 901, 1184, 267, 1634, 607, 2191, 532, 267, 2242, 519, 2168, 3601, 540, 519, 4837, 267, 1818, 621, 6793, 543, 2507, 5649, 2859, 9732, 0, 763, 5169, 540, 27177, 2501, 689, 968, 9008, 334, 892, 585, 968, 2897, 892, 543, 8642, 585, 968, 8586, 892, 922, 5702, 1644, 547, 20569, 543, 5619, 532, 799, 616, 7255, 609, 8308, 519, 2244, 2627, 269, 1656, 621, 779, 849, 5702, 13615, 547, 11585, 543, 11837, 1062, 519, 22944, 2676, 24066, 6672, 568, 519, 23243, 3815, 585, 27177, 7851, 269, 769, 22944, 267, 649, 946, 3059, 15038, 2203, 585, 14099, 269, 14210, 856, 540, 4557, 27177, 7851, 2982, 26048, 3515, 799, 616, 1175, 3515, 540, 3160, 15038, 269, 634, 7522, 4214, 540, 27177, 568, 1808, 547, 519, 11460, 540, 2244, 3029, 563, 3719, 538, 513, 4452, 518, 2631, 267, 621, 16621, 2067, 543, 5841, 2934, 269, 1280, 1383, 912, 12749, 2762, 7851, 1419, 17063, 538, 11889, 6302, 267, 4872, 267, 3289, 5766, 1429, 545, 11614, 267, 6283, 543, 5656, 267, 26048, 3515, 630, 296, 810, 2000, 1149, 264, 1921, 2798, 540, 3160, 15038, 676, 2542, 32725, 269, 1284, 4612, 4463, 9386, 543, 3337, 538, 27177, 7851, 563, 2252, 32725, 616, 2673, 1927, 519, 1793, 641, 568, 14869, 269, 1809, 950, 32725, 616, 3262, 6306, 519, 9386, 568, 811, 16795, 269, 1284, 946, 32725, 585, 10239, 23898, 543, 8602, 2096, 4479, 269, 1280, 1383, 267, 6778, 17540, 10202, 6763, 693, 476, 274, 267, 6507, 277, 11281, 19437, 1142, 26048, 3515, 4564, 3160, 6173, 725, 269, 20290, 693, 519, 1747, 540, 7823, 17540, 10202, 269, 898, 568, 513, 476, 23841, 271, 11281, 26048, 1899, 563, 2467, 568, 1100, 968, 13328, 16958, 892, 538, 27177, 11837, 3079, 1142, 2197, 1305, 741, 11837, 8116, 6272, 741, 1378, 27177, 7851, 609, 513, 1808, 3804, 538, 2247, 269, 1280, 1383, 14335, 513, 7594, 1164, 1259, 1522, 5397, 513, 1283, 4919, 12103, 547, 4183, 3574, 2244, 3382, 267, 3037, 2010, 610, 4224, 8760, 2059, 519, 8905, 267, 936, 5503, 1283, 4919, 4786, 3126, 1419, 646, 339, 13350, 10311, 267, 855, 519, 3020, 568, 602, 789, 666, 581, 1950, 543, 1491, 1296, 547, 1711, 269, 769, 519, 2136, 2276, 267, 519, 1101, 2475, 14899, 1283, 4919, 4786, 729, 23500, 538, 476, 6245, 273, 269, 4595, 1287, 267, 4786, 14469, 723, 4797, 585, 936, 476, 10219, 266, 1296, 269, 634, 2475, 14899, 5650, 1283, 334, 7851, 693, 476, 272, 281, 7742, 267, 1822, 267, 476, 272, 281, 1911, 267, 1822, 267, 476, 272, 281, 8287, 267, 476, 11740, 267, 476, 1822, 543, 476, 272, 281, 2190, 267, 1822, 269, 634, 1034, 1455, 568, 519, 476, 278, 281, 276, 8792, 9076, 4120, 3126, 1141, 835, 10759, 538, 519, 4786, 8204, 476, 2190, 267, 1822, 6279, 593, 519, 2666, 563, 5194, 1434, 1383, 540, 1283, 4919, 4786, 568, 519, 2475, 14899, 1283, 525, 535, 1872, 540, 942, 543, 14099, 713, 10477, 4786, 267, 922, 6772, 904, 27177, 630, 24824, 12094, 264, 609, 1620, 4224, 21272, 269, 901, 2337, 19586, 519, 27230, 1686, 540, 519, 11782, 971, 607, 7823, 2679, 2621, 563, 12749, 2762, 13335, 543, 21964, 454, 12749, 2762, 7851, 1397, 875, 8933, 2095, 267, 875, 1164, 7823, 4473, 543, 875, 14869, 23898, 13956, 269, 1358, 2482, 856, 519, 2244, 971, 607, 538, 891, 1806, 563, 25811, 1359, 946, 1283, 4919, 7851, 547, 1544, 513, 4155, 267, 4020, 513, 1572, 13486, 610, 1544, 513, 8652, 3167, 2481, 563, 10481, 6048, 2422, 5440, 2762, 547, 13760, 22007, 4011, 545, 2534, 1547, 8092, 3029, 543, 1141, 547, 2007, 513, 9553, 454, 295, 871, 619, 946, 1283, 4919, 4786, 547, 2508, 8062, 543, 14869, 1145, 540, 9386, 547, 1544, 741, 607, 1417, 563, 22349, 1258, 12002, 1353, 519, 27177, 3544, 3618, 899, 593, 519, 7599, 267, 23047, 610, 606, 607, 32104, 2916, 10196, 17063, 27177, 883, 2916, 3631, 547, 5431, 2011, 543, 1216, 32704, 269, 1306, 8916, 11457, 543, 2029, 8441, 1283, 20802, 3068, 606, 15081, 650, 6370, 585, 6111, 543, 1264, 28467, 454, 272, 269, 1015, 3642, 300, 5508, 5990, 29898, 454, 1607, 1353, 6663, 540, 8876, 856, 513, 1283, 4919, 5619, 540, 2229, 2930, 2852, 16740, 1695, 918, 690, 328, 3557, 563, 272, 269, 1556, 28267, 297, 4488, 20937, 5508, 5990, 22295, 22494, 454, 1607, 1353, 568, 856, 547, 21287, 519, 1739, 6859, 454, 328, 269, 1234, 6247, 3482, 513, 8289, 538, 24704, 3239, 540, 519, 2666, 563, 4512, 269, 14419, 540, 18330, 540, 936, 8184, 540, 519, 2666, 563, 13839, 269, 12433, 2627, 610, 12531, 563, 643, 269, 29895, 1283, 4919, 9043, 563, 272, 269, 1321, 590, 22218, 9281, 2975, 19611, 5508, 5990, 11550, 297, 17614, 454, 25811, 619, 991, 513, 1283, 7240, 5619, 547, 1294, 519, 2627, 540, 15038, 540, 519, 2244, 543, 2436, 13897, 1590, 581, 17332, 610, 6569, 547, 4188, 519, 3959, 3446, 454, 19425, 3538, 1223, 946, 519, 5619, 585, 4070, 540, 476, 274, 291, 4729, 540, 741, 1374, 713, 4729, 666, 581, 11643, 1354, 6158, 609, 3375, 15670, 585, 13170, 540, 513, 2679, 3135, 568, 1098, 1243, 676, 1713, 1283, 7240, 2591, 971, 607, 14869, 9344, 267, 4540, 1292, 1500, 2497, 779, 610, 824, 16609, 2175, 513, 1283, 7240, 14791, 1058, 581, 1031, 547, 2327, 602, 519, 1374, 6069, 786, 960, 896, 891, 2175, 1354, 4070, 1376, 563, 30025, 8041, 849, 3755, 1283, 7240, 12220, 547, 3132, 7694, 6218, 4540, 1102, 2858, 5471, 675, 267, 4163, 856, 2838, 26941, 543, 2015, 2825, 3785, 543, 900, 2897, 1319, 519, 4070, 543, 18186, 4040, 7939, 269, 0, 8139, 4791, 8062, 454, 12867, 2932, 4791, 8062, 547, 2697, 1007, 2081, 547, 2061, 267, 13209, 267, 543, 1521, 4719, 3134, 850, 1186, 625, 269, 769, 519, 2250, 267, 4791, 8062, 723, 5280, 1004, 609, 4719, 20560, 1569, 1007, 4550, 5498, 714, 675, 6527, 630, 3008, 300, 1070, 23069, 21697, 1299, 3457, 543, 824, 5499, 11257, 269, 11916, 8062, 616, 1641, 547, 1585, 9431, 3800, 547, 16102, 519, 3106, 540, 5171, 269, 3619, 547, 8249, 585, 11916, 2558, 10118, 538, 5245, 547, 1451, 811, 827, 9086, 267, 6042, 543, 4808, 563, 1692, 798, 4791, 8062, 960, 888, 21357, 4966, 2141, 1291, 4791, 8062, 602, 8495, 4719, 3134, 850, 1186, 625, 269, 4107, 4791, 8062, 786, 723, 513, 23499, 1382, 2319, 602, 2882, 7189, 267, 3173, 267, 11923, 267, 20560, 1489, 4600, 543, 824, 3782, 4648, 269, 2353, 4791, 8062, 1590, 1246, 513, 7453, 7014, 267, 513, 1305, 540, 3652, 267, 547, 948, 2327, 602, 5773, 616, 740, 22363, 547, 543, 3106, 4170, 616, 1558, 269, 4107, 4791, 4693, 7014, 6272, 1331, 912, 268, 634, 1382, 2243, 267, 6663, 267, 2409, 267, 4255, 543, 5773, 454, 268, 12160, 656, 25046, 454, 268, 634, 2010, 540, 7459, 543, 875, 789, 786, 581, 9447, 454, 268, 634, 8653, 540, 519, 4791, 4693, 543, 1018, 1239, 786, 581, 6394, 454, 15650, 540, 4791, 8062, 454, 2467, 616, 1082, 1114, 5686, 540, 4791, 8062, 269, 634, 1614, 1034, 1455, 1331, 912, 268, 30587, 281, 15766, 919, 1007, 2500, 4719, 4152, 585, 20560, 454, 268, 10644, 281, 5525, 2519, 593, 519, 6604, 540, 3134, 850, 1186, 625, 3361, 676, 513, 4719, 3815, 454, 268, 9615, 281, 15766, 919, 1007, 6789, 16039, 267, 23069, 21697, 543, 3457, 267, 10551, 5773, 610, 824, 11257, 454, 4942, 1162, 540, 4791, 8062, 454, 5472, 4791, 8062, 723, 547, 1780, 998, 11775, 540, 7453, 4152, 269, 18833, 827, 1142, 5123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 561, 10719, 8119, 4280, 20844, 780, 14367, 3993, 20493, 543, 6045, 267, 834, 288, 23593, 561, 10719, 568, 899, 513, 9649, 13735, 15678, 602, 3217, 1004, 593, 15143, 547, 1294, 1082, 4190, 4025, 269, 898, 814, 6266, 540, 1187, 1919, 547, 798, 543, 1294, 593, 4604, 267, 899, 10977, 20115, 267, 3756, 267, 543, 2982, 3010, 297, 10224, 781, 4064, 11097, 2989, 609, 10761, 269, 834, 4692, 649, 979, 593, 835, 267, 631, 9564, 12482, 14367, 4651, 21330, 269, 834, 28646, 14693, 267, 950, 649, 4688, 909, 2614, 2724, 269, 1809, 1101, 267, 1577, 781, 1451, 811, 827, 23593, 13274, 619, 543, 875, 789, 666, 948, 721, 2263, 519, 1158, 3010, 3383, 20844, 3323, 1565, 827, 23593, 13274, 619, 543, 875, 789, 5249, 269, 1261, 4121, 602, 23593, 13274, 619, 941, 5458, 16996, 602, 5645, 15915, 2066, 12084, 547, 3643, 16678, 2477, 543, 10195, 269, 1358, 1185, 14060, 1141, 596, 1223, 2119, 3536, 689, 1114, 2694, 540, 519, 1158, 267, 15945, 1141, 596, 1223, 4444, 6204, 1597, 15077, 267, 543, 1256, 838, 553, 1141, 596, 1223, 6001, 543, 1205, 533, 2086, 1229, 780, 3891, 849, 4121, 602, 23593, 13274, 619, 941, 1390, 585, 3885, 1317, 789, 6035, 865, 1082, 2238, 585, 3214, 543, 6738, 5725, 7567, 269, 1703, 941, 1216, 15942, 543, 9910, 17075, 6030, 267, 737, 4673, 5803, 733, 3949, 543, 7544, 6105, 267, 7260, 17334, 543, 9059, 2982, 269, 1411, 1223, 7669, 538, 519, 5836, 1282, 519, 1554, 267, 1287, 4585, 6801, 689, 519, 16064, 693, 3781, 269, 1656, 952, 596, 3893, 13110, 267, 596, 1223, 2141, 979, 1394, 547, 707, 18241, 19970, 543, 3207, 780, 3719, 1034, 11932, 267, 20844, 4362, 602, 23593, 13274, 619, 941, 513, 8748, 1259, 585, 1864, 547, 1921, 609, 824, 1004, 689, 1114, 4529, 543, 10080, 269, 3807, 899, 1864, 267, 930, 15915, 1522, 581, 11082, 1932, 267, 3168, 585, 513, 2631, 540, 10362, 538, 513, 1007, 1747, 269, 1635, 4687, 2984, 543, 2833, 267, 789, 1223, 1628, 17052, 602, 1131, 2063, 513, 10715, 780, 2026, 20844, 16545, 5128, 593, 513, 23593, 561, 10719, 267, 5870, 1007, 2828, 543, 3695, 519, 1158, 1927, 267, 646, 7691, 602, 4352, 621, 1522, 1491, 930, 942, 1354, 646, 1223, 2965, 979, 593, 835, 267, 646, 1223, 1869, 2972, 519, 3460, 540, 6602, 543, 4276, 1318, 1631, 267, 16382, 646, 729, 780, 4517, 609, 602, 2219, 267, 20844, 9684, 539, 1010, 3237, 585, 3450, 1864, 827, 23593, 13274, 619, 543, 6743, 4464, 547, 519, 9035, 602, 2482, 6619, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6701, 596, 513, 1762, 2937, 3168, 585, 606, 3078, 543, 27093, 16314, 1995, 286, 6733, 1100, 2417, 982, 519, 1158, 540, 23593, 3515, 269, 14265, 2478, 2709, 513, 2189, 11100, 540, 11005, 267, 9913, 267, 543, 3408, 267, 1818, 873, 606, 4998, 3903, 585, 1762, 4079, 5275, 513, 12300, 1205, 12537, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1655, 23593, 3515, 585, 1762, 4079, 538, 1469, 547, 1683, 596, 609, 3388, 596, 991, 547, 917, 585, 707, 1985, 16314, 563, 7072, 281, 634, 2353, 675, 540, 14265, 1047, 28820, 725, 454, 290, 745, 1047, 7477, 725, 2709, 513, 2189, 11100, 540, 13418, 543, 10761, 585, 3742, 1762, 4079, 269, 2060, 513, 2647, 5044, 540, 593, 4580, 2238, 267, 9913, 3681, 267, 543, 10875, 18353, 267, 2267, 2478, 1683, 606, 782, 2987, 14633, 1995, 602, 22587, 547, 1762, 4079, 269, 6787, 596, 616, 5275, 7045, 267, 11005, 538, 519, 12144, 267, 610, 1175, 513, 7524, 5428, 5790, 267, 972, 568, 513, 23593, 1899, 856, 972, 547, 9290, 707, 7375, 563, 26502, 547, 6333, 1879, 19805, 513, 14265, 1047, 7412, 454, 6524, 649, 4685, 2212, 14140, 883, 519, 3078, 1158, 540, 519, 581, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 17104, 1299, 21337, 1315, 8056, 580, 7949, 23800, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 17345, 5149, 281, 4197, 16241, 15213, 998, 519, 30776, 540, 9099, 20613, 336, 325, 692, 5331, 2713, 538, 513, 1747, 1141, 3025, 568, 1863, 547, 1246, 741, 1378, 4984, 543, 2853, 267, 1510, 4250, 540, 20655, 610, 7130, 269, 901, 1523, 568, 1634, 607, 3909, 5191, 1107, 621, 1797, 602, 1004, 616, 4847, 547, 3494, 1018, 789, 1616, 543, 2259, 1346, 4978, 11884, 269, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 875, 3909, 5191, 1568, 538, 1114, 2694, 540, 519, 1158, 676, 3695, 513, 2189, 2460, 540, 5771, 1572, 3649, 336, 325, 780, 5970, 596, 2479, 4862, 540, 513, 3972, 2508, 286, 589, 3649, 336, 325, 630, 29455, 899, 1412, 11445, 2378, 10807, 568, 2147, 855, 2501, 689, 9099, 2245, 269, 5994, 952, 707, 20516, 4941, 547, 24946, 930, 2724, 547, 1628, 513, 2146, 4099, 1141, 1004, 1223, 5531, 585, 11755, 267, 2069, 267, 543, 17493, 960, 269, 2701, 1522, 1305, 909, 513, 3649, 336, 325, 609, 1200, 9806, 865, 602, 1310, 1352, 10596, 2476, 267, 519, 7482, 786, 3136, 547, 581, 1031, 1152, 585, 2679, 543, 4509, 519, 2146, 4099, 11014, 269, 2334, 1259, 267, 1256, 950, 1352, 781, 8854, 267, 1200, 1434, 632, 539, 2729, 593, 2439, 1103, 1082, 7332, 2477, 267, 1519, 1346, 602, 723, 1044, 6766, 676, 16368, 543, 3703, 4341, 267, 971, 607, 938, 1383, 4505, 267, 3649, 336, 12028, 1404, 513, 1713, 1909, 538, 8497, 3909, 22624, 269, 1280, 3236, 267, 891, 26988, 1439, 578, 906, 666, 948, 4020, 9923, 13196, 267, 3506, 267, 10506, 267, 535, 870, 1622, 267, 13123, 267, 543, 824, 1857, 6703, 269, 1452, 5238, 1287, 4196, 782, 2818, 540, 2486, 267, 7488, 540, 741, 5132, 267, 4008, 267, 5198, 267, 610, 22874, 269, 1635, 3257, 865, 267, 3649, 336, 12028, 3565, 9797, 2509, 5009, 10103, 1851, 3309, 2950, 780, 4913, 267, 1175, 1317, 1945, 568, 5497, 585, 3909, 5301, 3085, 1405, 1611, 621, 781, 2141, 6870, 269, 6884, 6608, 949, 15936, 609, 519, 2359, 540, 3649, 336, 12028, 610, 20818, 9993, 1759, 593, 6214, 610, 16809, 269, 1879, 713, 4523, 267, 13882, 8451, 1063, 1585, 8639, 267, 3056, 547, 1761, 19374, 540, 3909, 5191, 780, 2414, 2327, 14619, 543, 5126, 267, 1896, 3486, 21308, 543, 14908, 7291, 1808, 20038, 585, 3909, 23118, 269, 18831, 602, 9772, 891, 3741, 267, 899, 519, 835, 5018, 693, 519, 4098, 267, 3858, 547, 2463, 2043, 262, 2924, 547, 10847, 2687, 547, 741, 4978, 269, 5015, 267, 10470, 1369, 891, 6082, 4612, 6469, 4031, 9846, 609, 891, 2518, 4441, 267, 2417, 17420, 4961, 262, 3909, 22624, 780, 13914, 1394, 547, 938, 3355, 2243, 910, 9327, 1405, 621, 581, 8748, 952, 1169, 1268, 1223, 2661, 2687, 547, 741, 7184, 4371, 31710, 25678, 286, 24356, 2035, 899, 3649, 336, 12028, 2337, 721, 1174, 875, 7239, 3666, 12721, 4690, 1247, 7863, 4295, 2418, 1671, 15590, 1441, 538, 3486, 1876, 269, 1306, 15826, 2104, 3401, 267, 1620, 2152, 4478, 3909, 5191, 6087, 721, 547, 5660, 4763, 267, 6536, 13784, 267, 543, 7794, 9322, 538, 938, 5051, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7212, 972, 568, 1100, 11156, 267, 4031, 543, 4507, 1683, 585, 3909, 5191, 267, 543, 519, 2229, 3622, 15197, 713, 1318, 538, 2259, 269, 634, 10966, 7040, 814, 14578, 4371, 602, 519, 9978, 4521, 593, 5274, 667, 793, 640, 543, 23068, 14014, 5191, 547, 2259, 3909, 4978, 267, 543, 922, 5947, 902, 6451, 519, 3909, 5191, 14074, 540, 3486, 1480, 2924, 11650, 883, 519, 2197, 779, 1560, 540, 1876, 269, 634, 9978, 4521, 6257, 519, 2197, 607, 513, 968, 297, 28779, 543, 11180, 1533, 892, 543, 8100, 519, 16672, 540, 519, 19372, 618, 540, 519, 3557, 540, 5840, 267, 799, 14767, 5191, 540, 4984, 543, 25903, 543, 2407, 1514, 543, 2797, 7862, 267, 7488, 540, 3909, 30901, 269, 6554, 3609, 5170, 547, 1489, 519, 3622, 1863, 2259, 540, 4984, 267, 4352, 22257, 543, 3656, 7130, 1996, 1875, 11219, 31974, 543, 1875, 268, 7775, 628, 13454, 12535, 540, 17194, 5170, 563, 15152, 4031, 15110, 689, 519, 16368, 543, 3703, 13495, 622, 5712, 267, 519, 3656, 1062, 3947, 16278, 936, 2123, 25411, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 9099, 1315, 20613, 336, 325, 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, 2486, 267, 621, 568, 1898, 547, 2232, 519, 3390, 540, 4638, 14213, 6604, 267, 3226, 950, 621, 2501, 547, 1762, 4079, 269, 901, 3184, 786, 5490, 883, 519, 2956, 540, 2870, 2922, 5054, 267, 9301, 9963, 4191, 267, 14775, 14013, 267, 543, 7598, 2500, 4507, 6322, 693, 7303, 4638, 14213, 269, 1635, 3695, 891, 3584, 267, 649, 4126, 547, 16491, 596, 609, 519, 1702, 543, 1983, 2556, 547, 1118, 5483, 3664, 543, 3565, 9797, 547, 707, 2950, 780, 17730, 15822, 2037, 4921, 454, 10900, 14945, 288, 2629, 2460, 540, 4638, 14213, 6604, 3322, 5807, 2922, 5624, 1141, 2043, 666, 1451, 267, 1332, 267, 543, 8853, 1510, 4250, 540, 2800, 269, 1280, 938, 5301, 267, 1577, 721, 1445, 593, 3872, 5238, 971, 607, 12621, 543, 9945, 269, 1452, 5468, 1058, 3895, 1930, 2792, 267, 2463, 267, 543, 9844, 1063, 2146, 2818, 269, 1677, 1711, 513, 2528, 540, 3106, 267, 16984, 1590, 2936, 2312, 4808, 3823, 11807, 5615, 543, 4539, 585, 19374, 269, 5015, 267, 789, 1058, 5000, 3742, 7589, 689, 12200, 267, 5234, 267, 543, 1053, 538, 5009, 513, 5150, 1604, 780, 28403, 1944, 2782, 940, 20050, 454, 10900, 692, 8139, 519, 9963, 4191, 2404, 609, 1761, 10419, 21116, 543, 9601, 4249, 513, 1713, 1909, 538, 7303, 4638, 14213, 269, 2368, 1455, 10832, 17820, 676, 11975, 949, 1331, 1384, 265, 9866, 612, 633, 610, 9013, 5615, 2509, 1808, 2043, 454, 265, 589, 1686, 540, 5208, 610, 10728, 21274, 454, 265, 3687, 574, 1436, 610, 24677, 540, 2250, 4636, 4777, 902, 454, 265, 30975, 26003, 1944, 609, 1866, 454, 265, 2349, 5446, 5007, 2188, 630, 324, 3052, 1421, 4568, 264, 585, 741, 3527, 692, 4002, 519, 824, 1688, 267, 2009, 2699, 17514, 10268, 676, 1761, 9601, 1522, 7854, 1384, 265, 2060, 9526, 531, 689, 8912, 2238, 610, 2828, 454, 265, 16228, 680, 7134, 2242, 538, 7099, 610, 5920, 454, 265, 25285, 540, 1582, 1673, 12874, 339, 610, 1970, 1582, 12635, 454, 265, 21824, 6888, 1472, 1978, 1004, 610, 3871, 454, 265, 28548, 946, 607, 513, 12003, 7271, 692, 3528, 1373, 3222, 540, 891, 6786, 267, 649, 666, 1491, 14942, 3800, 547, 26544, 543, 2149, 7925, 2043, 780, 25215, 1180, 532, 2561, 10187, 2299, 454, 10900, 7042, 2691, 5185, 609, 8320, 540, 16143, 4638, 13817, 2265, 267, 621, 568, 16122, 547, 4431, 16425, 543, 3927, 269, 1635, 1056, 518, 6304, 2553, 666, 581, 5363, 538, 5466, 16609, 5615, 1354, 789, 15583, 622, 269, 6270, 2994, 949, 4125, 1463, 30925, 267, 30411, 12485, 267, 610, 5275, 6351, 689, 8128, 269, 3958, 267, 5885, 15000, 540, 4638, 14213, 3340, 8296, 267, 3661, 267, 543, 1569, 547, 2200, 971, 607, 13508, 2533, 267, 2564, 1416, 267, 543, 3656, 14223, 269, 18964, 948, 5498, 22701, 5615, 1851, 1346, 4299, 676, 4638, 5208, 8309, 547, 7067, 543, 6051, 780, 25363, 13586, 13229, 24727, 454, 28598, 15563, 267, 9591, 7347, 4507, 10704, 593, 4638, 14213, 6604, 568, 14063, 585, 1022, 9872, 8149, 547, 7863, 922, 23466, 269, 6206, 3334, 540, 606, 32055, 3609, 5943, 1223, 2874, 540, 1384, 265, 13068, 8847, 540, 19275, 2932, 454, 265, 26346, 8989, 5773, 585, 13685, 540, 13817, 2265, 454, 265, 13495, 2218, 2866, 7886, 585, 12200, 267, 5234, 267, 543, 1053, 454, 265, 7457, 1043, 6408, 1489, 2533, 454, 265, 3690, 8001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 476, 274, 454, 345, 815, 535, 3890, 0, 10310, 2162, 1477, 1012, 12327, 21283, 4041, 281, 12673, 21506, 10310, 2162, 1477, 258, 6062, 815, 834, 31435, 972, 29177, 258, 4067, 815, 834, 3570, 29177, 258, 326, 22901, 815, 28624, 1341, 2012, 567, 1477, 28744, 14116, 22901, 3418, 258, 26572, 7566, 815, 28624, 1341, 834, 834, 1341, 2012, 1477, 28744, 14116, 516, 7566, 3418, 258, 338, 11035, 815, 28624, 1341, 9497, 834, 1341, 2012, 12684, 274, 1477, 28744, 4433, 11035, 10142, 10310, 2971, 1477, 1012, 12327, 21283, 4041, 281, 3977, 21506, 10310, 2971, 1477, 258, 343, 815, 476, 272, 1477, 28744, 3287, 3418, 258, 343, 23919, 815, 1193, 3287, 3418, 28744, 2891, 3240, 7957, 1297, 568, 2580, 1535, 267, 834, 1701, 267, 834, 343, 284, 2580, 1535, 3418, 28744, 2891, 3240, 7957, 1297, 568, 2580, 1535, 23919, 1341, 834, 1701, 1341, 834, 343, 6889, 1341, 1535, 23919, 3418, 28744, 2891, 3240, 7957, 1297, 568, 257, 1341, 1535, 23919, 1341, 834, 1701, 1341, 834, 343, 6889, 1341, 1535, 23919, 3418, 5897, 10310, 2971, 1477, 1012, 12327, 21283, 4041, 281, 3403, 1477, 10310, 2971, 1477, 258, 1257, 815, 3403, 2891, 13911, 4376, 1862, 834, 3418, 258, 1820, 263, 276, 265, 3667, 3418, 258, 1003, 815, 703, 9272, 2891, 13911, 513, 1297, 1862, 834, 17903, 258, 1820, 263, 276, 265, 11133, 3418, 5897, 10310, 2971, 1477, 1012, 12327, 21283, 4041, 281, 2783, 1023, 270, 1962, 534, 4221, 21506, 10310, 2971, 1477, 258, 1535, 815, 10581, 9272, 2891, 11767, 513, 1297, 585, 1535, 281, 834, 17903, 258, 586, 815, 10581, 9272, 2891, 11767, 513, 1297, 585, 586, 281, 834, 17903, 258, 952, 1535, 2652, 586, 6769, 258, 825, 1820, 2891, 343, 543, 586, 616, 3160, 14744, 258, 825, 952, 586, 11203, 476, 271, 6769, 258, 1038, 1820, 2891, 11004, 1150, 267, 1535, 1315, 586, 568, 2580, 1535, 30819, 3418, 258, 8640, 1535, 2999, 586, 6769, 258, 825, 1820, 2891, 343, 568, 4130, 14744, 258, 8640, 1535, 3436, 586, 6769, 258, 825, 1820, 2891, 344, 568, 4130, 14744, 258, 1820, 2891, 628, 3471, 10590, 3418, 24653, 10310, 2971, 1477, 1012, 12327, 21283, 4041, 281, 14230, 21506, 10310, 2971, 1477, 258, 11133, 815, 703, 9272, 2891, 11767, 513, 1297, 281, 834, 17903, 258, 604, 1003, 4939, 476, 273, 2652, 476, 271, 6769, 258, 825, 1820, 2891, 15893, 568, 1256, 14744, 258, 12828, 6769, 258, 825, 1820, 2891, 15893, 568, 9642, 14744, 5897, 10310, 2971, 1477, 1012, 12327, 21283, 4041, 281, 1247, 17787, 21506, 1012, 8347, 9750, 713, 3009, 547, 1397, 513, 8909, 3068, 952, 596, 979, 1318, 1477, 1012, 7466, 543, 16212, 519, 3349, 1022, 811, 2053, 982, 602, 269, 21506, 1012, 670, 842, 281, 946, 513, 4831, 1477, 10310, 2971, 1477, 258, 562, 815, 3403, 2891, 2791, 616, 538, 519, 23452, 11206, 14826, 20594, 315, 333, 20594, 315, 333, 2433, 9385, 333, 20594, 315, 333, 20594, 315, 333, 7883, 2451, 610, 1318, 286, 834, 3418, 258, 2053, 815, 476, 272, 1477, 258, 1247, 562, 2652, 834, 2431, 257, 610, 562, 2652, 834, 14738, 257, 6769, 258, 672, 952, 2053, 2652, 476, 272, 6769, 258, 1363, 562, 815, 3403, 2891, 2791, 616, 538, 519, 23452, 11206, 14826, 20594, 315, 333, 7052, 1262, 11434, 2878, 265, 315, 333, 476, 630, 414, 499, 363, 4113, 16123, 350, 4113, 24724, 414, 499, 363, 19909, 369, 2340, 498, 375, 18077, 479, 18077, 375, 315, 333, 20594, 315, 333, 20594, 315, 333, 7883, 2451, 610, 1318, 286, 834, 3418, 258, 1363, 2053, 6834, 272, 1477, 258, 672, 8640, 2053, 2652, 476, 273, 6769, 258, 1363, 562, 815, 3403, 2891, 2791, 616, 538, 519, 23452, 11206, 14826, 20594, 315, 333, 7052, 1262, 11434, 2878, 265, 315, 333, 281, 7268, 333, 476, 630, 414, 499, 363, 4113, 16123, 350, 4113, 24724, 414, 499, 363, 19909, 369, 2340, 498, 375, 18077, 479, 18077, 375, 315, 333, 20594, 315, 333, 20594, 315, 333, 7883, 2451, 610, 1318, 286, 834, 3418, 258, 1363, 2053, 23785, 272, 1477, 258, 672, 3116, 6769, 258, 1363, 562, 815, 3403, 2891, 2791, 616, 538, 519, 23452, 11206, 14826, 20594, 315, 333, 7052, 1262, 11434, 2878, 265, 315, 333, 281, 7268, 333, 476, 630, 414, 499, 363, 4113, 16123, 350, 4113, 24724, 414, 499, 363, 19909, 369, 2340, 498, 367, 18077, 479, 18077, 367, 1422, 333, 20594, 315, 333, 20594, 315, 333, 7883, 2451, 610, 1318, 286, 834, 3418, 258, 1363, 2053, 23785, 272, 825, 1477, 258, 1820, 19629, 333, 2791, 3893, 856, 540, 519, 23452, 11206, 256, 315, 333, 315, 334, 270, 14744, 24653, 258, 333, 815, 476, 271, 1477, 258, 6112, 562, 2999, 476, 276, 6769, 258, 825, 1820, 3799, 3418, 258, 825, 562, 815, 562, 266, 272, 24653, 10310, 2971, 1477, 1012, 12327, 21283, 4041, 281, 585, 17787, 1477, 10310, 2971, 1477, 258, 1721, 562, 538, 2039, 263, 276, 8029, 258, 825, 1820, 3799, 3418, 258, 1477, 258, 332, 903, 636, 815, 476, 271, 1477, 258, 1721, 1775, 538, 2039, 263, 1015, 8029, 258, 825, 544, 903, 636, 6834, 1775, 1477, 28744, 9852, 903, 636, 3418, 258, 1477, 258, 332, 903, 636, 815, 476, 271, 1477, 258, 1721, 1775, 538, 2039, 263, 278, 267, 476, 1015, 8029, 258, 825, 544, 903, 636, 6834, 1775, 1477, 28744, 9852, 903, 636, 3418, 258, 1477, 258, 332, 903, 636, 815, 476, 271, 1477, 258, 1721, 1775, 538, 2039, 263, 276, 267, 476, 1556, 267, 476, 273, 8029, 258, 825, 544, 903, 636, 6834, 1775, 1477, 258, 825, 952, 544, 903, 636, 2652, 476, 276, 6769, 258, 1038, 2736, 1477, 258, 1038, 544, 903, 636, 6834, 476, 272, 1477, 28744, 9852, 903, 636, 3418, 24653, 10310, 2971, 1477, 1012, 12327, 21283, 4041, 281, 3501, 10945, 1477, 10310, 2971, 1477, 753, 815, 476, 271, 1477, 10864, 318, 4148, 698, 815, 8771, 1477, 343, 815, 703, 9272, 2891, 11767, 606, 8870, 281, 834, 17903, 604, 1535, 2999, 476, 271, 6769, 567, 2258, 318, 4148, 698, 815, 6936, 1477, 6112, 20735, 1262, 273, 2999, 1535, 6769, 567, 20735, 815, 20735, 1341, 476, 272, 1477, 604, 20735, 1262, 273, 2652, 1535, 6769, 567, 1820, 2891, 306, 13645, 3597, 540, 2580, 1535, 267, 834, 529, 2580, 20735, 3418, 12828, 6769, 567, 1820, 3287, 267, 834, 529, 711, 513, 3501, 4009, 14744, 567, 952, 2258, 318, 4148, 698, 6769, 11434, 1820, 2891, 9617, 10992, 1862, 1705, 596, 1611, 2580, 910, 343, 267, 834, 8119, 3418, 5897, 10310, 2971, 1477, 1012, 570, 12239, 9358, 11965, 23852, 256, 1477, 1012, 3525, 1518, 519, 3501, 10945, 1383, 547, 1820, 21506, 1012, 16494, 3501, 13483, 337, 1206, 952, 2016, 513, 2942, 1003, 23228, 10310, 2971, 0, 258, 713, 568, 513, 2731, 2241, 21189, 1106, 2196, 538, 519, 4971, 1899, 21506, 258, 1745, 1863, 547, 1039, 610, 4894, 4376, 596, 1616, 256, 5897, 5814, 942, 476, 5897, 2745, 2891, 8702, 547, 713, 2241, 21189, 1106, 8442, 21506, 11034, 815, 3403, 2891, 2710, 1411, 21763, 547, 15566, 630, 344, 14672, 21663, 834, 3418, 5503, 4732, 2748, 263, 271, 269, 277, 10142, 604, 1376, 31573, 3890, 11203, 834, 344, 257, 6769, 825, 1820, 3488, 15631, 316, 608, 1746, 1862, 20298, 825, 16718, 31476, 8421, 514, 815, 1412, 611, 2381, 262, 1477, 10139, 342, 6113, 815, 1412, 10139, 5320, 262, 476, 5897, 8421, 514, 296, 815, 3403, 2891, 8923, 9373, 707, 2974, 20713, 281, 834, 3418, 8421, 514, 296, 815, 3403, 2891, 8923, 9373, 707, 10426, 5320, 281, 834, 10142, 258, 11974, 952, 27024, 543, 10957, 616, 4570, 1477, 604, 21189, 31573, 3890, 2652, 1412, 611, 2381, 262, 6769, 825, 21189, 815, 3403, 2891, 19868, 514, 2953, 267, 3657, 596, 2386, 596, 1131, 899, 547, 3136, 12169, 14672, 21663, 834, 3418, 12828, 281, 21506, 825, 1820, 2891, 310, 3994, 27024, 543, 5924, 10957, 10590, 3418, 825, 16718, 31476, 604, 1780, 342, 6113, 31573, 3890, 2652, 1412, 10139, 5320, 262, 6769, 825, 1820, 2891, 27879, 5320, 2953, 10590, 3418, 825, 1820, 2891, 344, 599, 596, 1500, 621, 1932, 519, 1439, 10590, 3418, 12828, 6769, 825, 1820, 2891, 27879, 5320, 11234, 10590, 3418, 825, 1820, 2891, 334, 3591, 602, 729, 11234, 8347, 4881, 713, 1982, 1586, 29389, 3418, 825, 16718, 31476, 0, 258, 901, 7097, 786, 581, 513, 2241, 3758, 3032, 269, 898, 786, 1224, 538, 513, 32197, 689, 519, 4971, 1467, 267, 1930, 454, 258, 519, 3758, 267, 543, 1820, 547, 3044, 856, 630, 1492, 12363, 264, 519, 9115, 540, 519, 3758, 780, 258, 1934, 607, 991, 547, 1104, 519, 19523, 9074, 630, 331, 3869, 264, 547, 10544, 519, 4971, 1467, 4661, 630, 1173, 341, 994, 5814, 19523, 692, 258, 649, 786, 849, 2322, 3388, 883, 513, 1292, 1599, 454, 3698, 1292, 10031, 453, 258, 10544, 519, 32197, 689, 519, 4971, 1467, 543, 1930, 519, 3758, 269, 20093, 1681, 856, 593, 1079, 2175, 563, 453, 258, 835, 281, 23380, 1297, 540, 7440, 267, 543, 1079, 281, 3758, 711, 1336, 454, 14851, 476, 273, 11203, 7003, 4433, 903, 27769, 341, 2187, 453, 453, 258, 3314, 519, 1982, 568, 835, 540, 519, 7440, 267, 3976, 519, 14263, 476, 272, 454, 453, 13537, 834, 342, 3994, 2179, 540, 7440, 269, 2877, 476, 272, 3893, 4939, 323, 257, 4939, 630, 6352, 4433, 903, 27769, 341, 264, 910, 476, 272, 994, 453, 13537, 834, 639, 720, 281, 9226, 2241, 13906, 18258, 2999, 16344, 17575, 285, 4840, 453, 16596, 910, 272, 692, 453, 16344, 17575, 815, 19523, 27769, 341, 314, 272, 2639, 13537, 834, 3430, 3319, 532, 547, 1930, 834, 1341, 32197, 692, 453, 258, 630, 3286, 4941, 547, 1397, 596, 9868, 7829, 994, 453, 339, 787, 912, 453, 453, 514, 17572, 815, 1930, 6600, 32327, 267, 834, 337, 5602, 453, 21955, 594, 302, 13286, 912, 453, 13537, 834, 4754, 2254, 1930, 4939, 338, 269, 616, 596, 2386, 621, 6818, 8119, 4939, 32197, 454, 453, 16596, 910, 272, 692, 13537, 834, 641, 2989, 256, 1934, 616, 519, 9115, 281, 4840, 13537, 834, 257, 1948, 2908, 1467, 692, 453, 258, 519, 1379, 540, 27952, 585, 17787, 630, 2515, 4063, 281, 14816, 568, 513, 4759, 1599, 540, 519, 5569, 454, 453, 258, 1362, 269, 594, 6415, 4174, 4771, 519, 1007, 6050, 1317, 621, 588, 2931, 593, 1283, 540, 519, 17697, 1007, 1467, 540, 454, 453, 258, 519, 834, 2745, 257, 1599, 267, 543, 621, 2306, 519, 3977, 20714, 5944, 5595, 22274, 994, 22610, 1899, 538, 538, 17572, 912, 453, 13537, 1899, 14714, 8692, 28361, 333, 17210, 453, 258, 1577, 781, 2973, 909, 543, 14827, 454, 453, 514, 17572, 25379, 4590, 16596, 476, 271, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 10852, 4590, 0, 5814, 11885, 607, 5286, 454, 258, 17553, 519, 4351, 6079, 267, 1745, 1863, 547, 1689, 621, 543, 1294, 1114, 3435, 563, 12639, 20179, 269, 23092, 263, 5655, 2020, 3698, 1900, 31262, 6025, 2187, 14851, 512, 13843, 476, 271, 912, 453, 16596, 476, 272, 454, 16596, 476, 271, 692, 3698, 12605, 11583, 267, 654, 267, 536, 2187, 16596, 1900, 31262, 9230, 12639, 269, 3901, 332, 592, 11583, 267, 310, 11924, 321, 25011, 271, 20285, 258, 570, 7495, 302, 281, 19130, 538, 519, 3009, 2630, 547, 2936, 519, 829, 1061, 1258, 8945, 563, 258, 634, 1599, 1058, 4309, 607, 11378, 519, 1239, 2473, 267, 519, 10297, 586, 2676, 258, 519, 12035, 654, 630, 553, 606, 5044, 1070, 543, 519, 9186, 536, 2676, 258, 9337, 519, 12035, 543, 9186, 654, 267, 536, 267, 2687, 547, 519, 829, 1061, 1258, 5690, 2676, 258, 543, 2132, 654, 543, 536, 563, 3698, 829, 1061, 1258, 3721, 11583, 267, 586, 267, 654, 267, 536, 267, 1451, 318, 3433, 815, 476, 271, 269, 4905, 2187, 22610, 1775, 538, 2039, 12759, 11583, 15892, 453, 453, 344, 318, 1002, 815, 12605, 11583, 5157, 3910, 310, 14720, 994, 453, 14851, 586, 5157, 316, 268, 344, 318, 1002, 2652, 476, 272, 912, 4848, 453, 310, 314, 271, 316, 6834, 2473, 5157, 6012, 271, 30297, 16753, 318, 3433, 454, 4848, 453, 310, 314, 272, 316, 6834, 2473, 5157, 6012, 272, 30297, 16753, 318, 3433, 454, 4848, 453, 321, 6834, 1451, 318, 3433, 454, 453, 453, 19197, 586, 5157, 316, 268, 344, 318, 1002, 2652, 910, 272, 912, 4848, 453, 310, 314, 271, 316, 20699, 2473, 5157, 6012, 271, 30297, 16753, 318, 3433, 454, 4848, 453, 310, 314, 272, 316, 20699, 2473, 5157, 6012, 272, 30297, 16753, 318, 3433, 454, 4848, 453, 321, 20699, 1451, 318, 3433, 454, 16596, 654, 267, 536, 454, 28768, 258, 901, 1599, 8255, 519, 829, 1061, 1258, 5690, 14578, 593, 519, 10471, 2676, 258, 543, 7024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6546, 568, 835, 540, 519, 2164, 540, 519, 1101, 1353, 547, 4983, 519, 2994, 602, 3781, 11923, 946, 547, 4188, 1063, 1554, 543, 3781, 3207, 9979, 269, 634, 1353, 729, 1759, 593, 26830, 689, 476, 4343, 279, 11923, 945, 960, 693, 519, 966, 6387, 321, 2830, 2160, 6481, 4741, 543, 519, 2164, 616, 3370, 538, 519, 4989, 476, 1724, 3390, 540, 519, 3621, 4760, 267, 5398, 7732, 540, 3163, 2290, 563, 763, 1353, 849, 1336, 602, 7648, 538, 2043, 685, 27266, 9219, 6090, 723, 513, 20559, 762, 1764, 593, 519, 11923, 685, 2702, 547, 3082, 6185, 529, 4533, 687, 547, 27266, 11733, 14432, 454, 763, 1259, 602, 8808, 10593, 723, 1044, 16516, 2094, 519, 12016, 22520, 540, 519, 476, 2735, 271, 779, 2306, 11923, 3226, 11630, 547, 713, 1966, 269, 11233, 11923, 945, 960, 609, 538, 6312, 1801, 798, 865, 3592, 14311, 538, 476, 1321, 16923, 10593, 269, 634, 1554, 6521, 7363, 8255, 689, 476, 278, 513, 6230, 269, 547, 476, 278, 533, 6230, 269, 543, 519, 3781, 6521, 6227, 476, 278, 533, 6230, 269, 547, 476, 278, 513, 6230, 563, 309, 6387, 321, 2830, 3781, 6521, 11923, 3335, 960, 513, 8430, 602, 2882, 1614, 2395, 593, 3781, 6521, 4553, 676, 1079, 547, 2947, 2395, 1055, 267, 950, 1034, 6467, 1394, 547, 513, 3339, 3207, 4783, 269, 2334, 1797, 1034, 540, 873, 616, 13346, 3207, 9979, 607, 4749, 607, 7466, 513, 3018, 563, 14881, 729, 1360, 14281, 547, 1265, 602, 11923, 685, 2034, 1034, 7928, 4640, 729, 519, 2048, 7224, 3207, 685, 4640, 602, 1419, 3238, 9363, 25805, 585, 519, 476, 1321, 3108, 1354, 4358, 519, 3781, 6521, 2223, 1767, 27239, 31133, 1076, 267, 606, 13930, 7548, 540, 2618, 17226, 543, 8965, 5778, 321, 5735, 693, 519, 2160, 540, 17665, 693, 27257, 267, 945, 5249, 593, 519, 1353, 607, 513, 2022, 28273, 28118, 8284, 693, 966, 6387, 321, 2830, 269, 968, 6546, 1797, 789, 616, 1236, 6235, 3207, 585, 693, 2547, 476, 2190, 3108, 2786, 3034, 2005, 779, 711, 1419, 602, 596, 2697, 543, 21656, 513, 1480, 2623, 585, 519, 1101, 942, 267, 1577, 4805, 835, 602, 814, 606, 1198, 593, 1480, 1072, 17606, 779, 711, 1419, 602, 596, 2697, 543, 21656, 513, 1480, 2623, 585, 519, 1101, 942, 267, 1577, 4805, 835, 602, 814, 606, 1198, 593, 1480, 1072, 2223, 1767, 966, 6387, 321, 2830, 10927, 2875, 543, 1071, 27236, 18281, 595, 3511, 5586, 331, 1470, 563, 2005, 729, 3564, 519, 9165, 540, 519, 1353, 547, 3313, 519, 1198, 602, 519, 11923, 685, 3207, 2994, 723, 593, 741, 2773, 269, 968, 2005, 779, 1360, 2352, 547, 16174, 1063, 519, 2994, 543, 519, 1367, 7648, 540, 519, 1004, 945, 3442, 873, 2223, 31133, 1076, 17019, 563, 4913, 267, 519, 1353, 1705, 2307, 519, 11923, 1896, 2055, 2966, 547, 2708, 741, 9542, 269, 1280, 1383, 267, 789, 4280, 875, 1134, 9862, 789, 5433, 282, 875, 1279, 621, 3217, 873, 547, 1205, 856, 540, 5127, 282, 875, 1454, 14933, 789, 946, 282, 543, 875, 2693, 789, 616, 547, 2887, 18069, 1282, 519, 1554, 269, 634, 4267, 547, 891, 2055, 5815, 602, 519, 11923, 945, 946, 519, 3207, 22975, 4640, 616, 519, 1034, 14605, 9862, 540, 519, 2947, 2516, 563, 763, 3173, 4363, 602, 11923, 1058, 581, 15695, 547, 2057, 519, 968, 7224, 3207, 892, 4640, 950, 2324, 17334, 543, 2303, 602, 10506, 556, 3887, 1998, 10663, 519, 1259, 602, 789, 8430, 11923, 547, 2569, 519, 4908, 609, 799, 11923, 6467, 3207, 16131, 563, 2108, 7197, 1004, 1810, 1406, 1616, 547, 960, 693, 3781, 543, 1346, 602, 798, 946, 1018, 1568, 1655, 585, 873, 543, 741, 6197, 2223, 4767, 1071, 2987, 4034, 580, 1807, 27211, 28243, 267, 8689, 540, 8808, 1382, 693, 966, 6387, 321, 2830, 563, 306, 3481, 30389, 568, 513, 1360, 5905, 344, 3390, 543, 1082, 11923, 267, 3226, 519, 7820, 3283, 267, 899, 519, 1699, 1062, 1317, 621, 2636, 873, 547, 5569, 1927, 513, 1297, 540, 2395, 1055, 1510, 2921, 16314, 267, 1352, 3773, 7868, 1353, 1336, 602, 3781, 11923, 1031, 2947, 3982, 3207, 2994, 11609, 676, 713, 4137, 269, 634, 16131, 3382, 5216, 2395, 630, 288, 547, 670, 1040, 634, 960, 6521, 568, 3254, 538, 4158, 12457, 282, 3207, 942, 568, 3254, 538, 2699, 282, 543, 1863, 942, 568, 3254, 538, 1769, 15454, 269, 634, 3046, 3113, 538, 519, 2539, 1318, 2982, 875, 14605, 9862, 519, 11923, 941, 945, 4553, 519, 1114, 16131, 269, 634, 3781, 3251, 4640, 729, 711, 3769, 1317, 621, 729, 1031, 676, 865, 1906, 11923, 563, 7049, 7497, 1860, 9542, 454, 763, 3173, 849, 3576, 5027, 5439, 689, 782, 519, 5171, 547, 8495, 519, 6708, 547, 799, 741, 27266, 23234, 6766, 741, 9542, 269, 1358, 5462, 519, 11923, 685, 968, 11388, 9189, 892, 1107, 2436, 789, 616, 2067, 2038, 1567, 619, 630, 331, 10225, 264, 610, 3735, 1567, 619, 630, 578, 3149, 264, 1107, 543, 799, 540, 5722, 1134, 8153, 7648, 267, 610, 26340, 3359, 267, 538, 1480, 27266, 9219, 6090, 602, 1142, 12016, 22234, 563, 1607, 1344, 4847, 519, 3173, 547, 3313, 602, 561, 10225, 3082, 3226, 1134, 547, 1554, 10593, 543, 3226, 14605, 547, 3781, 10593, 267, 1247, 31450, 798, 711, 3082, 3226, 1134, 610, 14605, 547, 2901, 6521, 269, 769, 1840, 267, 789, 1336, 602, 14726, 538, 835, 5444, 267, 1572, 25783, 274, 267, 2408, 547, 723, 513, 2101, 1764, 593, 519, 7145, 540, 519, 1100, 3207, 4640, 269, 15706, 609, 835, 14583, 540, 713, 29294, 2408, 547, 4431, 811, 14605, 982, 3328, 547, 519, 4640, 1247, 1346, 609, 519, 824, 29294, 2408, 547, 4431, 1732, 982, 3328, 563, 309, 6387, 321, 2830, 7905, 540, 18143, 7070, 14161, 9652, 267, 1325, 2581, 631, 1824, 5424, 268, 3725, 604, 267, 13930, 7548, 540, 7194, 693, 8832, 10491, 3557, 2160, 267, 21244, 5681, 3405, 693, 5753, 779, 2817, 6481, 4741, 538, 6115, 267, 667, 5861, 269, 543, 19958, 5062, 300, 1695, 517, 267, 966, 6387, 321, 2830, 7548, 540, 6211, 9443, 267, 849, 8329, 547, 519, 1382, 563, 763, 1382, 729, 7620, 14102, 676, 966, 6387, 321, 2830, 779, 20570, 16827, 1982, 543, 1287, 676, 513, 9886, 689, 519, 2817, 4659, 540, 10076, 2657, 5861, 2632, 716, 912, 21837, 674, 269, 6428, 529, 12064, 1923, 31823, 2336, 28723, 2079, 540, 2634, 2497, 3337, 949, 3950, 11144, 547, 12216, 781, 2068, 454, 2918, 269, 1015, 269, 1001, 277, 1923, 12590, 4937, 11233, 454, 24465, 4155, 2515, 20549, 11642, 3132, 6757, 22774, 454, 2918, 269, 1015, 269, 1001, 277, 1923, 16099, 2160, 454, 24357, 27913, 689, 519, 2160, 540, 654, 14660, 345, 7921, 723, 2966, 513, 1769, 2707, 602, 32307, 27141, 8424, 269, 5565, 14428, 582, 517, 2959, 616, 3226, 1134, 14018, 585, 7148, 31383, 1239, 14238, 269, 634, 4603, 781, 1883, 5820, 281, 513, 19202, 12627, 543, 930, 20202, 11746, 563, 3383, 10777, 1395, 565, 16558, 616, 693, 519, 2295, 540, 519, 1382, 2238, 269, 1452, 834, 27273, 2326, 257, 630, 553, 519, 20380, 2257, 12139, 834, 26903, 257, 12662, 621, 264, 723, 1044, 2483, 19575, 571, 9724, 22795, 723, 5189, 1007, 7399, 538, 23678, 1324, 16600, 325, 710, 3889, 267, 543, 3744, 616, 1631, 849, 14236, 875, 547, 946, 873, 547, 1696, 577, 2890, 560, 23461, 883, 6094, 4837, 269, 1703, 616, 2009, 3156, 538, 12642, 630, 18350, 593, 513, 13863, 264, 543, 2523, 538, 11418, 543, 519, 7082, 5823, 267, 1141, 1390, 1719, 814, 1044, 3254, 563, 1607, 1007, 1505, 729, 4535, 540, 513, 9670, 7613, 281, 23735, 11868, 4837, 538, 513, 1880, 1259, 609, 606, 16600, 9724, 8955, 814, 519, 1198, 540, 1818, 519, 4837, 909, 547, 513, 2483, 307, 5028, 615, 16379, 29835, 540, 5697, 12627, 21513, 5012, 547, 606, 2500, 6419, 2361, 602, 11479, 17396, 8095, 5163, 454, 6944, 13764, 6198, 3601, 676, 1769, 568, 835, 540, 519, 6264, 3853, 538, 2413, 27772, 2339, 6323, 543, 2326, 2257, 269, 589, 1007, 1353, 1631, 9727, 875, 2483, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 2764, 269, 1015, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 454, 2764, 269, 1015, 269, 1001, 277, 1923, 8212, 543, 18395, 454, 2764, 269, 1015, 269, 1001, 277, 1923, 5020, 7070, 0, 288, 16684, 3778, 306, 1460, 590, 7950, 2968, 1134, 1634, 1310, 10793, 21969, 577, 267, 945, 1500, 621, 1035, 11384, 1445, 540, 1010, 1870, 4640, 693, 4937, 11272, 538, 1960, 276, 267, 543, 2221, 621, 568, 1031, 538, 1114, 9922, 540, 2872, 11482, 831, 267, 519, 14520, 590, 7950, 3157, 941, 7550, 693, 519, 4937, 25821, 15278, 269, 10793, 21969, 577, 1767, 281, 834, 306, 1460, 590, 7950, 4957, 519, 19091, 540, 23817, 1701, 314, 634, 14520, 590, 7950, 1184, 3340, 476, 4200, 269, 15886, 6858, 260, 5470, 16451, 3157, 543, 2472, 267, 630, 528, 476, 274, 269, 275, 2694, 829, 2929, 12889, 610, 1652, 1040, 9453, 519, 14520, 590, 7950, 1184, 8060, 267, 621, 949, 711, 723, 2041, 523, 2009, 585, 3627, 674, 269, 27508, 547, 10131, 519, 594, 5090, 1756, 9682, 6247, 749, 566, 2676, 1432, 568, 14520, 590, 7950, 288, 2298, 20820, 1982, 2919, 538, 476, 2735, 277, 676, 16359, 7637, 6221, 3508, 1242, 4783, 6066, 6454, 543, 4227, 2006, 3011, 1005, 12889, 547, 513, 1377, 540, 1100, 811, 982, 476, 274, 269, 275, 829, 2929, 2529, 1460, 590, 7950, 693, 1082, 3906, 3274, 1797, 513, 2268, 540, 638, 1275, 602, 1193, 1161, 585, 2282, 19870, 269, 14520, 590, 7950, 568, 740, 529, 4184, 1441, 267, 1239, 12454, 1935, 543, 12191, 2062, 3916, 3215, 12889, 630, 20142, 1516, 4724, 3670, 3044, 24017, 24992, 519, 1611, 543, 519, 14282, 20487, 3970, 264, 538, 1022, 15263, 689, 5663, 547, 6223, 1308, 543, 689, 1587, 547, 338, 16291, 563, 3963, 14520, 590, 7950, 286, 1892, 21561, 20656, 1892, 21561, 6075, 9547, 1892, 14451, 1587, 2298, 1892, 13724, 9441, 2773, 1892, 21079, 12889, 538, 2504, 454, 763, 18319, 7763, 639, 11283, 636, 25226, 2801, 1892, 14161, 12821, 1380, 267, 513, 4436, 22301, 267, 3370, 834, 763, 18319, 300, 582, 639, 11283, 636, 25226, 2801, 1701, 769, 713, 1433, 267, 12821, 1380, 842, 22004, 519, 1523, 540, 519, 11350, 7455, 267, 513, 3337, 602, 666, 21865, 2099, 519, 8390, 602, 4386, 538, 513, 6417, 15263, 269, 769, 1931, 547, 1353, 2417, 827, 519, 1888, 646, 3698, 1441, 7648, 2073, 7352, 566, 568, 3989, 607, 11539, 689, 1410, 1051, 566, 563, 306, 1460, 590, 7950, 10003, 10934, 31711, 9288, 5501, 22860, 2763, 18719, 557, 6944, 1503, 454, 291, 11085, 3722, 1788, 12191, 31711, 519, 2889, 12378, 281, 519, 341, 4069, 540, 519, 322, 2396, 518, 267, 543, 1492, 1788, 2998, 1023, 267, 4481, 10933, 3008, 13543, 2433, 4486, 553, 11072, 540, 519, 9690, 1184, 663, 2445, 516, 10589, 1239, 288, 2793, 14877, 30438, 2433, 339, 1117, 1092, 547, 514, 4034, 580, 622, 543, 591, 1518, 2014, 7146, 13716, 2078, 18719, 557, 2433, 9953, 4476, 519, 9690, 1184, 22372, 2390, 1239, 534, 4519, 1210, 23855, 2294, 971, 553, 1374, 540, 23024, 2939, 725, 25321, 307, 4629, 299, 2433, 515, 2104, 8063, 1184, 547, 839, 675, 602, 1022, 22563, 9911, 689, 339, 13759, 616, 22621, 29592, 789, 1267, 22543, 31637, 454, 307, 657, 3031, 320, 1354, 14520, 590, 7950, 1892, 674, 3166, 1101, 2121, 2530, 538, 476, 2537, 4939, 538, 519, 1032, 476, 1960, 280, 1892, 25841, 2450, 540, 2359, 1892, 968, 307, 657, 3031, 320, 568, 513, 2034, 512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5058, 267, 798, 711, 4413, 519, 3606, 6402, 896, 834, 5415, 827, 281, 590, 6369, 12717, 295, 5357, 291, 5058, 257, 0, 4489, 272, 910, 476, 1960, 275, 454, 294, 822, 2940, 320, 30097, 729, 513, 3860, 3308, 7376, 267, 717, 822, 2940, 320, 30097, 729, 4535, 538, 476, 4489, 272, 543, 5747, 538, 476, 1960, 275, 269, 20551, 899, 6307, 26990, 612, 267, 7917, 24434, 267, 25909, 25028, 9347, 267, 7338, 623, 269, 2349, 698, 6577, 267, 543, 17713, 13391, 636, 326, 691, 1676, 941, 849, 4535, 538, 476, 4489, 272, 563, 10702, 4437, 7240, 12745, 585, 717, 822, 2940, 320, 30097, 454, 29820, 538, 476, 4489, 272, 267, 717, 822, 2940, 320, 30097, 729, 15866, 6273, 676, 519, 476, 4350, 271, 338, 3395, 909, 269, 10801, 519, 476, 4350, 271, 338, 267, 1082, 2797, 19237, 971, 607, 31767, 4317, 1143, 267, 13317, 626, 22640, 267, 543, 519, 11192, 23540, 540, 1312, 4004, 1143, 543, 26812, 1143, 941, 7722, 538, 9620, 585, 1379, 267, 543, 13423, 558, 2213, 519, 2797, 5790, 540, 519, 1974, 269, 562, 2342, 267, 5080, 9418, 1143, 4797, 547, 581, 7173, 841, 267, 543, 1185, 6738, 547, 723, 3310, 2066, 519, 8608, 269, 31327, 5159, 3576, 519, 2093, 15054, 676, 5080, 9418, 1143, 543, 11368, 873, 883, 741, 9097, 2797, 24866, 267, 2870, 513, 1007, 2186, 540, 9059, 17779, 269, 901, 729, 30833, 538, 519, 960, 540, 5159, 971, 607, 2605, 5866, 918, 1695, 5979, 543, 17630, 681, 643, 1512, 320, 538, 6792, 269, 0, 15275, 640, 17403, 814, 1831, 513, 31029, 15435, 538, 2487, 1296, 269, 4340, 547, 513, 1353, 676, 26566, 767, 514, 15613, 1299, 3194, 267, 936, 476, 1724, 2929, 2475, 5561, 1185, 741, 3961, 21687, 538, 476, 1001, 276, 269, 634, 3328, 3961, 17403, 6408, 1185, 1269, 6344, 271, 21687, 689, 873, 563, 17829, 5515, 723, 24111, 3648, 936, 519, 1296, 269, 634, 3395, 3463, 540, 3961, 17403, 568, 7361, 11911, 547, 2242, 538, 2029, 269, 3117, 28366, 991, 547, 1174, 519, 4220, 543, 1491, 2556, 15416, 563, 2080, 616, 930, 4220, 547, 581, 3222, 540, 563, 310, 792, 762, 5303, 310, 792, 762, 2029, 568, 4742, 811, 2442, 607, 1004, 1616, 547, 1732, 4383, 741, 1072, 269, 1717, 267, 621, 849, 27875, 1004, 547, 3961, 17403, 4220, 267, 1317, 519, 3549, 1210, 873, 2445, 1082, 2123, 3877, 593, 741, 5561, 563, 6124, 3840, 27737, 932, 3089, 5576, 10179, 1767, 713, 568, 4742, 513, 3978, 6161, 563, 257, 23114, 8516, 25231, 7410, 543, 519, 1239, 789, 2445, 593, 707, 1072, 267, 3207, 267, 543, 4087, 267, 1058, 581, 1175, 602, 1107, 2123, 2437, 646, 7150, 269, 834, 763, 1249, 602, 4357, 1072, 1239, 2443, 3638, 2614, 547, 2697, 519, 3593, 781, 32376, 2443, 568, 1373, 10356, 676, 3156, 899, 28546, 30531, 543, 666, 1287, 581, 4421, 547, 3791, 12268, 625, 1510, 519, 3593, 781, 9844, 568, 513, 3020, 7834, 3781, 332, 732, 4799, 1607, 3085, 1405, 1611, 596, 1058, 2760, 946, 28707, 2029, 269, 1717, 267, 596, 991, 547, 1224, 519, 3593, 6876, 543, 917, 875, 649, 616, 1239, 568, 6740, 563, 11073, 13768, 15536, 9798, 5303, 307, 13759, 729, 11360, 539, 513, 7008, 540, 1296, 3516, 267, 799, 2813, 7839, 11784, 269, 3117, 28366, 2066, 519, 2197, 9289, 1018, 15416, 14590, 3549, 941, 2921, 547, 16102, 741, 2883, 1239, 543, 875, 2500, 789, 941, 563, 19013, 267, 713, 2029, 568, 1419, 1360, 22573, 269, 15894, 6486, 1869, 946, 6419, 17446, 267, 799, 2306, 621, 1360, 2653, 547, 804, 821, 873, 269, 595, 3234, 10904, 616, 4742, 811, 10427, 267, 865, 3354, 4465, 1405, 2087, 2394, 811, 6880, 3354, 3549, 1246, 9290, 543, 2087, 741, 5989, 563, 19102, 1078, 2422, 540, 16353, 20905, 10144, 3142, 741, 5100, 11436, 543, 14342, 609, 873, 3592, 10876, 789, 979, 269, 10251, 267, 938, 13829, 593, 5985, 2029, 814, 2813, 930, 3354, 4220, 563, 6624, 1004, 1810, 1405, 8275, 875, 1454, 2123, 1344, 789, 723, 593, 741, 6049, 269, 1358, 2811, 8850, 29429, 883, 9365, 267, 741, 4757, 543, 1082, 824, 6589, 269, 1403, 2576, 729, 2111, 547, 1569, 741, 6049, 267, 789, 1131, 723, 3592, 782, 741, 1344, 693, 741, 31840, 563, 2252, 596, 723, 513, 5985, 3926, 267, 621, 781, 16122, 602, 596, 1832, 555, 773, 1407, 689, 1373, 2111, 547, 1569, 621, 269, 898, 1058, 581, 10957, 610, 31937, 6870, 269, 1703, 616, 849, 8924, 602, 1450, 596, 547, 20716, 26763, 707, 2182, 5397, 952, 519, 3926, 568, 2479, 21687, 269, 2755, 713, 568, 606, 3665, 2268, 267, 621, 781, 9090, 30074, 547, 2348, 707, 3961, 21687, 563, 292, 1260, 12692, 292, 1260, 12692, 568, 513, 1630, 4040, 1870, 891, 2395, 269, 898, 849, 5932, 1007, 14590, 4220, 602, 666, 1291, 547, 3961, 17403, 563, 15697, 4213, 1590, 1265, 1007, 2081, 547, 2149, 741, 5561, 262, 1344, 547, 11677, 741, 3972, 269, 1358, 723, 13175, 14139, 476, 2918, 3787, 14238, 543, 824, 2029, 547, 1832, 6213, 1344, 2922, 563, 763, 991, 585, 4359, 14590, 786, 3136, 547, 1332, 607, 811, 1004, 946, 519, 5769, 585, 741, 16306, 269, 901, 568, 2870, 513, 849, 3152, 991, 585, 4648, 609, 14590, 2866, 269, 0, 1607, 2165, 538, 17323, 267, 649, 786, 581, 1565, 827, 1979, 2345, 269, 589, 27354, 568, 513, 1804, 3148, 540, 519, 3047, 602, 814, 513, 1978, 2916, 543, 1978, 2010, 540, 2713, 1919, 269, 634, 2371, 543, 2831, 540, 1142, 27354, 723, 4162, 602, 948, 873, 547, 7639, 538, 741, 1880, 27354, 563, 763, 2947, 2101, 2010, 540, 1979, 2345, 616, 912, 5278, 540, 891, 1979, 2345, 666, 581, 2417, 5258, 883, 811, 1808, 6688, 267, 971, 607, 281, 15195, 267, 7286, 267, 5260, 13860, 267, 9341, 22986, 267, 22465, 22986, 267, 543, 28580, 27004, 563, 2690, 741, 1753, 1565, 1788, 267, 649, 1131, 899, 519, 1453, 798, 2347, 606, 13181, 16968, 267, 2203, 610, 2156, 577, 675, 827, 835, 540, 519, 2101, 1979, 2345, 269, 7490, 666, 519, 1453, 3142, 713, 883, 1153, 676, 11728, 476, 278, 628, 5412, 865, 602, 789, 666, 1459, 873, 547, 519, 1362, 1282, 602, 3018, 269, 1284, 2731, 1413, 4464, 547, 7487, 519, 1453, 779, 13144, 563, 1103, 17323, 713, 2165, 267, 649, 616, 1565, 827, 519, 2197, 10255, 269, 1280, 741, 1753, 1565, 1788, 267, 649, 1131, 899, 519, 1453, 547, 1711, 606, 13181, 2156, 577, 675, 610, 513, 16968, 827, 10255, 563, 5445, 1058, 1331, 1344, 827, 912, 2080, 568, 513, 3896, 799, 519, 1453, 1223, 946, 547, 948, 873, 912, 2252, 707, 1126, 2115, 1022, 1957, 585, 741, 2156, 577, 675, 610, 16968, 267, 5225, 2307, 873, 547, 1577, 741, 4116, 917, 563, 2171, 1131, 899, 519, 1453, 547, 1459, 741, 1788, 547, 519, 1964, 540, 519, 1362, 269, 1452, 14245, 786, 1491, 1747, 936, 519, 3018, 540, 519, 476, 866, 628, 1107, 476, 2537, 6113, 5239, 563, 763, 5729, 476, 275, 12243, 0, 14738, 6906, 1341, 13392, 3830, 910, 2979, 2042, 454, 10831, 540, 2042, 1336, 281, 476, 10602, 454, 268, 9406, 6906, 454, 26765, 338, 540, 519, 1318, 6906, 616, 538, 519, 5223, 513, 281, 321, 815, 476, 273, 281, 279, 269, 634, 30494, 814, 513, 3259, 540, 476, 9262, 4699, 269, 12433, 519, 15943, 543, 1858, 540, 519, 6906, 563, 29991, 7285, 540, 519, 1318, 6906, 609, 519, 30494, 524, 543, 7953, 513, 267, 536, 267, 952, 281, 15017, 268, 9406, 268, 22931, 6906, 454, 29991, 519, 1543, 540, 513, 1318, 6906, 4171, 2427, 13080, 1106, 20422, 2818, 540, 606, 12980, 11144, 543, 519, 8953, 540, 519, 5858, 4330, 676, 519, 6906, 568, 476, 276, 4699, 563, 268, 9406, 6906, 552, 336, 273, 454, 8340, 519, 13080, 540, 519, 5011, 543, 519, 7285, 538, 519, 1318, 6906, 269, 9717, 1858, 590, 815, 476, 13975, 543, 15943, 522, 815, 476, 3583, 563, 763, 30494, 540, 513, 1318, 6906, 568, 476, 6078, 543, 519, 2040, 540, 7953, 568, 476, 5392, 269, 12433, 519, 3259, 540, 922, 7953, 563, 268, 6715, 518, 5011, 454, 288, 1318, 6906, 609, 606, 8870, 3259, 540, 1079, 5011, 814, 835, 1850, 20734, 1556, 1279, 269, 1215, 1454, 568, 922, 13074, 2427, 888, 268, 9406, 2587, 1194, 6906, 476, 273, 454, 299, 300, 301, 568, 513, 1318, 268, 22931, 6906, 609, 14622, 693, 700, 263, 272, 267, 274, 1070, 631, 263, 274, 267, 276, 1070, 543, 715, 263, 277, 19885, 1040, 9717, 5086, 30838, 301, 568, 476, 3445, 4113, 1265, 562, 454, 268, 9406, 6906, 22176, 325, 454, 763, 1073, 341, 617, 540, 513, 1318, 6906, 568, 476, 10019, 4699, 267, 543, 519, 30494, 568, 476, 4391, 4699, 1279, 269, 14419, 519, 13080, 540, 519, 7953, 563, 268, 21121, 13235, 454, 31590, 4120, 13235, 814, 2427, 13080, 544, 268, 272, 267, 544, 268, 273, 267, 544, 268, 274, 269, 1548, 814, 547, 581, 544, 547, 581, 6906, 513, 264, 14328, 536, 264, 8650, 268, 22931, 888, 268, 681, 6906, 454, 24280, 519, 1318, 6906, 1858, 4171, 3476, 1850, 568, 476, 277, 546, 332, 10156, 982, 519, 30494, 543, 476, 274, 546, 332, 3476, 982, 519, 10156, 1850, 563, 268, 21512, 543, 10580, 454, 24169, 1318, 6906, 952, 519, 8953, 540, 27485, 5858, 568, 678, 284, 280, 543, 8953, 540, 4931, 30533, 539, 5858, 568, 681, 284, 2537, 563, 268, 2405, 2103, 538, 1318, 6906, 454, 2005, 568, 2016, 513, 1318, 6906, 267, 5086, 595, 568, 476, 3445, 5232, 269, 594, 917, 621, 1199, 2103, 512, 272, 815, 476, 279, 4699, 543, 11667, 512, 273, 815, 476, 1321, 4699, 269, 10371, 1215, 547, 5173, 519, 3259, 540, 519, 5011, 888, 268, 590, 1938, 540, 1318, 2587, 1194, 6906, 454, 3080, 1850, 568, 476, 272, 544, 10156, 982, 519, 30494, 267, 543, 519, 2034, 1850, 568, 476, 273, 544, 10156, 982, 519, 30494, 269, 4855, 519, 13080, 540, 782, 5011, 540, 519, 1318, 268, 22931, 6906, 563, 268, 9406, 2587, 1194, 6906, 454, 29797, 582, 26664, 540, 513, 1318, 6906, 568, 476, 1704, 4699, 1279, 269, 1879, 649, 6175, 3259, 540, 7953, 676, 476, 274, 4699, 1287, 6175, 922, 30494, 676, 476, 275, 4699, 269, 14419, 519, 2450, 540, 7953, 563, 268, 21512, 910, 30494, 543, 15820, 454, 14738, 6906, 31641, 294, 814, 30494, 575, 284, 14056, 544, 543, 15820, 547, 575, 568, 476, 7918, 544, 269, 1215, 1279, 616, 30494, 12415, 888, 268, 16338, 540, 7953, 454, 1103, 513, 1318, 6906, 267, 519, 3259, 540, 519, 30494, 568, 476, 4792, 544, 267, 543, 519, 3017, 540, 7953, 568, 476, 2537, 544, 269, 12433, 519, 15943, 540, 713, 6906, 563, 14738, 6906, 814, 30494, 524, 815, 476, 2767, 4699, 269, 1215, 1804, 6810, 11912, 4463, 554, 322, 284, 274, 4699, 593, 519, 30494, 524, 888, 268, 6673, 21512, 6906, 454, 763, 3259, 540, 519, 5011, 540, 513, 1318, 6906, 1106, 606, 12980, 11144, 267, 3476, 1850, 568, 476, 2190, 4699, 1279, 269, 1548, 616, 519, 15943, 543, 1858, 888, 24280, 519, 5011, 540, 519, 6906, 952, 922, 1858, 590, 815, 476, 30697, 543, 519, 2034, 25108, 28387, 568, 10156, 676, 476, 1704, 563, 24280, 4463, 543, 5011, 540, 519, 1318, 6906, 267, 952, 835, 1850, 568, 513, 815, 476, 10037, 4699, 543, 3296, 540, 30494, 11105, 547, 519, 2034, 1850, 524, 321, 815, 476, 4375, 4699, 563, 19185, 585, 948, 609, 12719, 5072, 540, 513, 13392, 3830, 286, 6423, 849, 938, 1318, 6906, 9498, 269, 0, 20597, 650, 5426, 29329, 454, 268, 1496, 303, 1122, 4445, 316, 2910, 289, 5357, 729, 4922, 1031, 2523, 585, 1022, 1804, 4320, 1239, 4393, 971, 607, 12948, 5238, 267, 6142, 3549, 267, 538, 1082, 2229, 2196, 1949, 971, 607, 1514, 3354, 267, 16468, 543, 1256, 27404, 1949, 269, 476, 1220, 5479, 3515, 540, 2910, 289, 5357, 616, 1869, 538, 946, 2221, 543, 602, 476, 3445, 260, 540, 519, 674, 28232, 476, 4335, 3549, 1869, 723, 2910, 289, 5357, 3009, 5329, 519, 8279, 909, 269, 17497, 267, 1082, 540, 519, 2910, 289, 5357, 23501, 689, 519, 1412, 3583, 338, 543, 1412, 3199, 338, 616, 1427, 3931, 269, 30272, 267, 972, 568, 513, 3747, 585, 23501, 945, 917, 2910, 289, 5357, 543, 666, 1900, 538, 547, 948, 1966, 4194, 2152, 607, 789, 8451, 269, 3733, 2012, 568, 623, 1122, 4445, 17384, 543, 594, 16436, 596, 547, 6443, 803, 585, 1250, 1576, 593, 21912, 1103, 4804, 799, 568, 2966, 547, 1205, 596, 31235, 609, 519, 9238, 610, 952, 596, 2811, 899, 803, 267, 547, 21199, 856, 519, 25865, 933, 2125, 543, 1205 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4692, 1216, 2965, 1118, 513, 3017, 547, 1394, 610, 8405, 1928, 888, 306, 675, 569, 15198, 543, 16706, 616, 811, 1271, 2560, 610, 3478, 10549, 3001, 563, 2691, 596, 1174, 875, 707, 1560, 3096, 1216, 543, 519, 2192, 13716, 338, 540, 18024, 2560, 596, 786, 1287, 8275, 602, 1216, 568, 5393, 1271, 563, 2791, 1869, 991, 547, 1246, 519, 476, 276, 2241, 3268, 547, 9004, 707, 1394, 1928, 269, 1717, 267, 3168, 3544, 519, 7293, 2127, 568, 849, 4105, 952, 596, 1616, 1279, 9434, 1394, 1928, 8323, 563, 763, 11957, 2986, 4826, 454, 2791, 949, 917, 602, 707, 1560, 568, 5631, 1216, 269, 769, 1249, 707, 1560, 568, 476, 4037, 260, 1216, 1107, 5642, 568, 476, 2420, 260, 1216, 267, 1973, 476, 10695, 9077, 707, 2634, 568, 476, 10619, 260, 543, 6091, 476, 4037, 18336, 12850, 2337, 707, 1560, 1599, 543, 952, 596, 616, 30701, 2560, 3339, 1599, 786, 3111, 563, 5804, 513, 1394, 1928, 21169, 267, 1216, 568, 1898, 6693, 7312, 2634, 543, 8401, 1062, 568, 476, 10619, 260, 1216, 269, 634, 20590, 540, 13285, 547, 2995, 707, 6091, 547, 960, 12346, 593, 1434, 20697, 563, 2252, 20697, 2157, 2887, 267, 519, 8229, 20590, 2242, 267, 6786, 616, 29169, 543, 6091, 786, 1599, 14605, 563, 763, 4887, 786, 4061, 12483, 543, 9395, 523, 543, 1291, 547, 1394, 1928, 563, 5719, 5139, 1674, 568, 11528, 6693, 1607, 1797, 602, 621, 568, 711, 1175, 13285, 602, 786, 1711, 2152, 269, 1306, 6091, 13204, 3433, 789, 786, 849, 3500, 538, 1599, 543, 5916, 609, 519, 22485, 8229, 3761, 1928, 568, 2813, 3533, 563, 7312, 7293, 1062, 12346, 593, 1434, 1216, 3761, 1107, 25923, 991, 1216, 267, 10549, 616, 10627, 1117, 538, 1216, 267, 6091, 616, 476, 4037, 260, 1216, 543, 13285, 7048, 538, 1216, 547, 1599, 563, 22134, 1674, 568, 1898, 585, 782, 1394, 543, 8405, 1928, 2175, 563, 5629, 707, 1216, 2157, 6749, 596, 786, 1020, 2560, 2048, 22496, 344, 685, 10549, 2560, 30281, 3350, 2560, 9395, 6091, 2560, 543, 2489, 31191, 543, 24074, 563, 12850, 568, 1898, 585, 1434, 7293, 1072, 2336, 2080, 779, 1175, 930, 540, 519, 1082, 2589, 602, 2049, 609, 18024, 912, 23175, 2851, 543, 21994, 454, 288, 2583, 543, 24074, 454, 1692, 13518, 4826, 1684, 1411, 10261, 6693, 2467, 568, 865, 1454, 15784, 936, 1216, 6981, 6693, 3080, 1353, 6700, 596, 991, 476, 274, 20990, 540, 1216, 1142, 1554, 2560, 693, 519, 1482, 942, 1776, 1353, 1767, 476, 275, 14296, 729, 15792, 563, 8005, 798, 596, 3494, 888, 763, 1655, 1259, 547, 2070, 1216, 6981, 568, 519, 14724, 7498, 2791, 991, 547, 25579, 880, 1018, 596, 946, 267, 519, 811, 596, 946, 519, 811, 596, 991, 563, 4002, 3905, 2395, 610, 2395, 540, 3635, 596, 786, 991, 811, 563, 7312, 1560, 19380, 1216, 1169, 1554, 1106, 3339, 1560, 1599, 2560, 1519, 1175, 7244, 269, 2368, 540, 519, 16977, 12531, 540, 2530, 602, 2049, 1142, 1554, 616, 912, 12573, 16720, 689, 7244, 454, 12573, 16720, 689, 707, 2960, 630, 13433, 1256, 707, 2960, 3826, 1127, 1107, 713, 3085, 1406, 1331, 17570, 994, 9610, 271, 16720, 689, 30614, 454, 876, 16720, 689, 15108, 5322, 454, 1911, 268, 4335, 271, 16720, 689, 24852, 609, 2534, 454, 2026, 596, 666, 1294, 596, 6336, 1216, 4948, 543, 991, 547, 5372, 1018, 596, 723, 4503, 563, 3080, 540, 519, 4443, 2081, 547, 960, 856, 513, 1434, 1216, 6981, 568, 1210, 513, 1216, 4542, 1759, 593, 707, 2597, 563, 10303, 707, 1560, 2597, 543, 3875, 824, 2188, 3310, 707, 6981, 267, 713, 4542, 568, 513, 1434, 3391, 563, 9288, 5501, 707, 2597, 538, 6550, 1107, 7941, 676, 476, 273, 1107, 713, 568, 519, 2179, 540, 5714, 13728, 596, 991, 547, 4235, 454, 2690, 1383, 267, 952, 596, 9260, 476, 1220, 6550, 267, 596, 991, 476, 1911, 5714, 13728, 540, 1216, 815, 476, 1321, 14296, 540, 1216, 630, 320, 3044, 4837, 568, 476, 279, 13728, 610, 476, 7742, 16720, 1916, 2252, 596, 3635, 1287, 596, 786, 991, 547, 4235, 811, 7498, 24591, 476, 4817, 260, 2201, 2659, 21832, 1677, 850, 339, 7498, 8133, 585, 1034, 267, 519, 6071, 2219, 540, 6704, 602, 4320, 540, 1216, 814, 596, 4881, 547, 519, 16003, 269, 1403, 596, 616, 711, 26224, 547, 6704, 602, 4320, 596, 786, 1439, 909, 7836, 1169, 2034, 8792, 540, 519, 1554, 538, 519, 16003, 563, 2710, 596, 2731, 991, 547, 4235, 713, 2179, 888, 1103, 1249, 596, 1810, 1406, 269, 18421, 596, 3548, 610, 4235, 3568, 1216, 269, 1924, 596, 25579, 880, 707, 1216, 676, 4189, 543, 6704, 1142, 1554, 607, 596, 723, 2944, 2907, 563, 2467, 568, 513, 1153, 540, 2219, 602, 596, 1869, 991, 519, 3063, 4320, 19037, 2560, 602, 1426, 543, 16098, 1810, 1406, 1293, 4724, 602, 3232, 6981, 563, 4913, 713, 568, 10691, 1759, 593, 1022, 3621, 2963, 563, 303, 675, 1216, 568, 1869, 519, 1655, 2707, 540, 1216, 2560, 855, 707, 1560, 1869, 25309, 1216, 689, 1426, 543, 782, 16098, 630, 514, 1249, 1107, 596, 786, 4166, 1294, 6986, 1216, 568, 711, 8209, 1655, 1916, 293, 8816, 543, 5388, 616, 3592, 476, 1911, 260, 1216, 267, 5779, 568, 476, 4037, 260, 1216, 630, 8145, 1897, 6091, 616, 476, 4037, 260, 1216, 1070, 543, 23238, 543, 2571, 10425, 616, 1869, 3592, 11207, 1216, 563, 10214, 519, 23487, 539, 14185, 3990, 10425, 616, 1869, 5631, 1216, 1107, 2386, 789, 798, 957, 607, 513, 1019, 675, 6776, 267, 855, 513, 7484, 610, 1079, 513, 1554, 568, 9985, 5386, 630, 553, 1279, 607, 707, 1216, 6981, 1142, 1554, 25579, 8460, 1018, 596, 991, 1916, 3528, 2348, 513, 7059, 2732, 267, 6704, 23238, 543, 6995, 267, 849, 4946, 538, 3063, 14296, 540, 1216, 596, 786, 3289, 3433, 707, 1560, 563, 2252, 596, 1039, 538, 476, 275, 268, 277, 14296, 1142, 1554, 596, 786, 1294, 513, 3017, 269, 27276, 811, 593, 1346, 2395, 950, 596, 3635, 543, 596, 786, 2226, 513, 1434, 20697, 1377, 563, 1692, 7043, 6969, 1411, 6423, 589, 7827, 888, 7804, 9722, 1216, 568, 10691, 513, 10826, 22433, 585, 1394, 1928, 7498, 2005, 3217, 942, 585, 707, 20697, 2157, 547, 2333, 267, 585, 930, 621, 949, 1491, 909, 547, 513, 3923, 563, 3719, 596, 786, 1294, 2242, 538, 1978, 2127, 3533, 7498, 2791, 786, 5469, 606, 2333, 538, 1648, 267, 9355, 540, 2219, 267, 1732, 12536, 543, 1447, 31191, 543, 24074, 563, 7312, 1216, 6981, 1058, 581, 851, 540, 606, 2949, 1935, 547, 1394, 1928, 8323, 2560, 543, 786, 1118, 513, 3017, 563, 3080, 540, 519, 15864, 2081, 547, 1294, 1689, 1498, 568, 10729, 2681, 269, 2659, 10729, 1058, 581, 2312, 610, 1152, 5594, 5835, 563, 20751, 513, 1906, 2395, 596, 786, 5469, 513, 2681, 1689, 543, 1287, 596, 666, 12189, 707, 1216, 6981, 547, 1118, 2386, 707, 20697, 2157, 2226, 563, 23219, 940, 281, 4826, 2904, 23703, 1411, 454, 2791, 666, 4235, 1932, 1454, 1216, 2560, 1216, 786, 682, 778, 707, 1560, 540, 10475, 8324, 543, 6886, 563, 7804, 9722, 6986, 1216, 538, 7050, 12531, 666, 5732, 581, 5739, 563, 28053, 983, 20697, 568, 519, 26395, 312, 269, 1411, 991, 1216, 547, 1205, 547, 519, 10408, 1377, 585, 621, 547, 1711, 2640, 563, 763, 1079, 1883, 2188, 602, 1860, 10408, 20697, 616, 912, 306, 5306, 568, 1898, 585, 707, 1560, 2560, 1932, 1454, 949, 2014, 2295, 2068, 2560, 1932, 2370, 543, 707, 29427, 15374, 267, 11178, 267, 16757, 1062, 543, 1082, 1866, 786, 6560, 563, 7804, 9722, 7050, 5666, 540, 1216, 786, 7369, 519, 6070, 21356, 538, 596, 1560, 3533, 269, 901, 568, 835, 540, 519, 1292, 4128, 1946, 6704, 23238, 543, 4189, 1426, 849, 25579, 880, 707, 1216, 1107, 789, 1039, 1216, 543, 849, 1039, 538, 4105, 6886, 543, 8324, 563, 306, 5306, 568, 1945, 1004, 723, 4389, 1813, 547, 519, 29057, 540, 2295, 2068, 563, 2791, 991, 476, 26528, 1107, 476, 16006, 18324, 9398, 540, 6070, 1142, 1554, 585, 707, 1560, 547, 960, 1134, 1107, 4470, 593, 707, 1216, 6981, 269, 769, 1249, 713, 568, 1759, 593, 519, 2179, 596, 991, 547, 1039, 585, 1169, 2148, 540, 1216, 596, 4235, 563, 2252, 596, 2333, 707, 5714, 6981, 596, 849, 991, 547, 2333, 707, 6070, 6981, 2560, 610, 596, 786, 1439, 909, 609, 811, 2042, 2864, 982, 1447, 563, 763, 645, 12239, 10158, 1677, 12559, 12643, 4826, 7536, 12850, 10338, 568, 849, 835, 540, 519, 10569, 547, 20697, 563, 2252, 596, 4235, 1216, 855, 798, 711, 10110, 621, 2560, 519, 1216, 786, 23574, 2786, 998, 707, 1560, 563, 2791, 786, 1035, 743, 574, 520, 1125, 547, 2799, 12531, 540, 1216, 267, 855, 596, 991, 519, 10408, 20697, 547, 2744, 519, 1072, 2640, 563, 763, 14724, 543, 1655, 1259, 547, 4235, 1216, 547, 3035, 10408, 20697, 568, 547, 1039, 930, 11945, 10433, 563, 29002, 11945, 10433, 547, 1216, 15361, 707, 1560, 883, 18468, 1216, 568, 513, 1426, 543, 849, 11226, 519, 10338, 1184, 269, 11197, 10433, 849, 814, 6225, 3601, 849, 585, 1072, 563, 5472, 596, 991, 547, 798, 723, 513, 10116, 540, 519, 4837, 609, 11945, 10433, 543, 519, 14230, 1216, 563, 2791, 786, 1265, 621, 4443, 547, 4235, 543, 707, 1560, 25309, 519, 1216, 1732, 563, 2005, 568, 513, 9490, 3510, 1107, 855, 519, 1034, 1455, 1004, 945, 1397, 909, 1373, 13204, 3603, 616, 1346, 6704, 476, 274, 20990, 540, 1216, 1142, 1554, 563, 19853, 1560, 779, 616, 1166, 5241, 519, 1216, 998, 741, 1062, 543, 711, 21716, 621, 1107, 789, 616, 849, 4122, 30701, 538, 1082, 1114, 8324, 543, 6886, 563, 4692, 1411, 4530, 1280, 1546, 5139, 1674, 454, 2467, 616, 513, 1906, 2241, 4255, 596, 666, 946, 547, 2638, 707, 20697, 2157, 269, 7984, 710, 2681, 568, 4440, 519, 15864, 607, 596, 666, 1294, 952, 621, 568, 2312, 610, 1152, 5594, 11954, 563, 2791, 666, 1039, 547, 713, 676, 1210, 519, 1739, 1079, 2241, 4255, 563, 2791, 666, 946, 513, 32521, 1449, 593, 707, 2960, 269, 1306, 2960, 568, 519, 2063, 1858, 1216, 786, 3914, 621, 568, 513, 1434, 13525, 540, 1434, 20697, 2157, 563, 5472, 596, 798, 568, 32521, 519, 1394, 540, 707, 1688, 267, 707, 2539, 6186, 610, 17737, 865, 602, 621, 512, 757, 909, 630, 13257, 513, 8445, 1916, 295, 1245, 519, 2960, 585, 513, 1906, 7643, 543, 1287, 5305, 6693, 306, 7219, 609, 1434, 20697, 786, 26882, 1394, 5612, 269, 634, 14887, 519, 2132, 519, 811, 13204, 3603, 596, 616, 563, 1607, 786, 581, 14887, 607, 596, 2085, 630, 1492, 17681, 2360, 540, 3141, 543, 942, 1070, 855, 2960, 1058, 849, 2132, 538, 1447, 982, 476, 274, 268, 275, 7643, 1256, 538, 519, 11361, 563, 763, 2034, 1449, 568, 6693, 1607, 568, 1141, 596, 1294, 875, 3533, 1973, 7024, 547, 707, 31479, 5127, 538, 707, 17970, 563, 26139, 707, 1688, 543, 3952, 616, 519, 9663, 1492, 560, 689, 707, 2295, 543, 8754, 811, 2693, 547, 1397, 4191, 540, 18024, 563, 5472, 596, 991, 547, 798, 568, 4019, 2604, 547, 707, 17970, 540, 513, 9416, 610, 14853, 269, 15579, 519, 2604, 585, 513, 1906, 7643, 563, 763, 17970, 5127, 786, 2490, 3043, 607, 1973, 568, 7142, 689, 519, 5160, 563, 7230, 913, 519, 2604, 543, 7747, 875, 3533, 1973, 7024, 563, 288, 11909, 2681, 1058, 4755, 1369, 476, 273, 7643, 267, 2899, 1586, 519, 3476, 621, 3217, 519, 811, 13204, 3603, 596, 616, 563, 2252, 596, 1265, 596, 616, 13204, 3603, 1287, 4946, 538, 1346, 3063, 13728, 540, 1216, 786, 948, 609, 707, 31191, 543, 24074, 563, 2252, 20697, 2157, 2408, 15502, 267, 855, 707, 10729, 568, 1869, 4158, 538, 2681, 267, 1287, 596, 1869, 991, 602, 3063, 1216, 547, 948, 707, 1560, 7759, 3294, 540, 13802, 563, 12850, 6981, 568, 1898, 585, 1394, 1928, 8323, 543, 835, 540, 519, 2127, 519, 2473, 6261, 664, 6396, 6227, 538, 1469, 563, 2791, 666, 5721, 707, 1560, 547, 556, 5139, 3433, 3533, 543, 948, 707, 1560, 10110, 1216, 811, 7561, 269, 13242, 607, 851, 540, 606, 2949, 1935, 547, 1394, 1928, 8323, 543, 596, 666, 4894, 1928, 3533, 543, 3362, 2507, 811, 11932, 2061, 621, 13059, 563, 12988, 10266, 9669, 1299, 570, 9581, 1411, 670, 13273, 1406, 2142, 523, 570, 4381, 2336, 2252, 596, 6430, 547, 6718, 519, 2473, 6261, 664, 6396, 267, 649, 1118, 2386, 596, 917, 3388, 972, 568, 547, 917, 827, 9427, 1394, 1928, 269, 3143, 3063, 1942, 267, 1100, 8066, 1344, 1394, 2560, 3388, 596, 991, 693, 513, 7293, 1377, 547, 9004, 1928, 2560, 4388, 543, 15361, 547, 1118, 2386, 596, 12115, 3728, 543, 2226, 513, 2635, 12636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1452, 28005, 976, 616, 4587, 6835, 840, 3737, 593, 1585, 15102, 538, 476, 273, 29833, 2103, 563, 303, 571, 1047, 581, 547, 519, 2696, 543, 12429, 540, 938, 7083, 4906, 2441, 267, 519, 12429, 540, 8296, 543, 519, 2696, 540, 782, 4313, 267, 945, 635, 325, 2176, 721, 538, 782, 938, 13542, 267, 865, 602, 649, 666, 4313, 1346, 538, 1022, 8373, 609, 519, 4313, 649, 6000, 723, 4607, 689, 2696, 269, 1280, 1175, 607, 519, 7985, 902, 540, 2441, 2095, 936, 883, 938, 2729, 267, 865, 849, 998, 2441, 938, 4313, 24492, 338, 269, 1403, 649, 616, 1253, 5962, 267, 621, 568, 585, 707, 4313, 543, 20778, 282, 952, 649, 616, 4313, 539, 267, 621, 568, 585, 707, 4313, 267, 799, 7472, 538, 596, 3461, 16608, 540, 519, 1482, 7985, 902, 649, 7985, 269, 1656, 938, 4126, 585, 596, 568, 6109, 267, 1317, 649, 917, 602, 1175, 607, 596, 2671, 538, 938, 7985, 902, 267, 865, 849, 596, 2671, 538, 938, 4313, 563, 2171, 798, 711, 1616, 596, 547, 581, 796, 514, 11526, 267, 14552, 267, 827, 519, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 4361, 29960, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12080, 1315, 29960, 1299, 18401, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 4197, 3776, 6554, 543, 1215, 16572, 616, 17214, 692, 5970, 596, 2479, 9289, 875, 4031, 616, 1500, 538, 938, 11662, 610, 2197, 286, 2107, 1018, 1909, 1281, 519, 2229, 1404, 538, 4180, 649, 723, 1569, 547, 1271, 3782, 2029, 286, 4270, 267, 1577, 781, 4685, 883, 891, 3584, 543, 1451, 827, 873, 1927, 2439, 5575, 267, 621, 781, 1898, 547, 1174, 602, 938, 2229, 5932, 4031, 547, 948, 1832, 922, 4961, 2922, 543, 2635, 269, 1452, 4031, 666, 2039, 689, 4259, 3432, 7182, 593, 9897, 547, 3246, 7616, 585, 1007, 2564, 3457, 269, 3767, 267, 4952, 972, 568, 513, 1895, 540, 1004, 945, 960, 1927, 547, 1711, 543, 1780, 891, 4031, 910, 713, 1895, 568, 1572, 519, 22694, 894, 13909, 269, 901, 10198, 5161, 540, 13222, 11221, 676, 519, 1004, 538, 1114, 4525, 540, 519, 11662, 269, 1358, 2097, 1927, 547, 7521, 543, 8917, 593, 6069, 4031, 1354, 789, 1831, 4013, 780, 3086, 267, 1577, 781, 1445, 593, 835, 1808, 1383, 269, 14597, 972, 568, 513, 991, 585, 1732, 1569, 547, 4359, 7280, 5464, 3457, 585, 2043, 2713, 609, 3987, 269, 589, 11556, 1522, 581, 4843, 547, 519, 22694, 894, 13909, 6998, 585, 2242, 538, 519, 1876, 3823, 519, 12080, 540, 2657, 543, 7043, 31645, 5516, 547, 2327, 4443, 1569, 547, 971, 1272, 19145, 2645, 269, 1284, 1289, 713, 1826, 540, 11556, 513, 834, 321, 650, 1701, 1879, 513, 3915, 4991, 5189, 538, 519, 23328, 267, 2818, 1865, 267, 18985, 267, 543, 6038, 6430, 2436, 621, 786, 1831, 851, 540, 519, 1876, 780, 5331, 1631, 602, 596, 616, 513, 11347, 538, 519, 22694, 894, 13909, 269, 1411, 8275, 1082, 1004, 538, 707, 2146, 6560, 609, 2790, 1072, 2152, 267, 2523, 1282, 4101, 2053, 899, 513, 6855, 269, 1677, 1489, 1346, 10010, 267, 596, 6338, 513, 3915, 14957, 585, 811, 19443, 3457, 543, 2200, 585, 2790, 1072, 1416, 1369, 5321, 543, 2950, 269, 1635, 3257, 865, 267, 596, 5512, 2043, 547, 4309, 1697, 1416, 1247, 4509, 1514, 4296, 4105, 585, 6051, 269, 1306, 519, 1184, 4652, 9529, 267, 824, 13222, 949, 2709, 10372, 610, 12381, 547, 7794, 707, 3355, 2856, 267, 4611, 538, 513, 3803, 4528, 782, 3858, 2390, 269, 4495, 5293, 267, 1312, 540, 891, 12014, 1131, 3648, 2087, 519, 2729, 540, 9118, 13115, 12579, 2439, 1103, 5758, 267, 1620, 519, 3252, 540, 519, 22694, 894, 13909, 543, 875, 4031, 1205, 2813, 5849, 3025, 2640, 269, 7457, 547, 2556, 3782, 3937, 899, 4359, 7280, 21697, 610, 2790, 1072, 6351, 3457, 5222, 5215, 540, 2729, 9797, 269, 11559, 7279, 827, 1699, 2621, 543, 4497, 5717, 1472, 1761, 9283, 269, 8625, 267, 649, 3337, 513, 17321, 2104, 585, 6000, 543, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4041, 31043, 6369, 20937, 6789, 306, 4932, 13993, 312, 5508, 10396, 307, 2752, 22473, 454, 19798, 4932, 13993, 32723, 292, 700, 32723, 31043, 6369, 20937, 16692, 700, 685, 2177, 307, 2752, 22473, 454, 32637, 476, 1724, 2904, 476, 1708, 272, 8614, 644, 328, 476, 1724, 544, 2967, 476, 1708, 272, 454, 14737, 3588, 540, 2657, 543, 7043, 31645, 5516, 14821, 2920, 630, 28723, 3794, 26651, 16424, 20905, 1070, 476, 1708, 272, 1315, 10753, 328, 632, 476, 1708, 272, 1110, 604, 5050, 3288, 10753, 328, 1147, 682, 1295, 626, 27056, 632, 3288, 16114, 2946, 1696, 964, 1924, 1231, 632, 1279, 826, 546, 584, 19902, 630, 1952, 732, 2812, 1696, 1569, 334, 2231, 1285, 4545, 15530, 632, 13178, 632, 3288, 25026, 2946, 332, 773, 994, 14737, 3588, 540, 2657, 543, 7043, 31645, 5516, 14821, 2920, 630, 11045, 15659, 15706, 538, 741, 23467, 543, 18877, 609, 32113, 633, 20905, 585, 10076, 2657, 1070, 476, 1708, 272, 1315, 10753, 328, 632, 476, 1708, 272, 1110, 604, 5050, 3288, 10753, 328, 1147, 682, 1295, 626, 27056, 632, 3288, 16114, 2946, 1696, 964, 1924, 1231, 632, 1279, 826, 546, 584, 19902, 630, 7343, 8500, 518, 8350, 1300, 592, 4536, 20221, 3288, 12103, 2581, 1696, 546, 753, 3288, 2445, 643, 527, 2946, 1989, 5889, 576, 20221, 964, 813, 732, 2812, 1696, 1569, 334, 2231, 535, 517, 794, 23764, 13248, 3288, 521, 656, 2946, 6497, 1446, 994, 763, 5600, 1558, 693, 476, 6200, 276, 563, 763, 29150, 630, 295, 517, 269, 23413, 1488, 2254, 339, 2567, 6153, 6640, 269, 2913, 721, 7281, 563, 16031, 269, 25272, 8055, 281, 8672, 540, 1931, 563, 763, 29150, 630, 295, 517, 269, 23413, 1488, 2254, 339, 2567, 634, 4759, 585, 8834, 28386, 1700, 298, 1177, 14390, 320, 814, 513, 1448, 540, 1931, 563, 16031, 269, 25272, 8055, 281, 594, 1175, 1616, 547, 6999, 513, 1360, 6126, 14512, 547, 11110, 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 ]
[ 17218, 2262, 2453, 883, 15821, 7215, 269, 476, 273, 269, 9558, 17218, 5220, 883, 4834, 269, 476, 274, 2529, 9876, 3498, 2042, 609, 835, 7164, 7274, 780, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 274, 25927, 908, 6478, 1912, 29320, 883, 10789, 545, 25285, 3503, 1142, 8360, 607, 606, 15821, 4082, 269, 2422, 1535, 607, 519, 4756, 269, 12327, 21283, 4041, 476, 272, 25927, 908, 6478, 1912, 29320, 9293, 31580, 545, 20309, 513, 264, 589, 1297, 7132, 476, 278, 1535, 1341, 476, 278, 610, 476, 278, 1341, 1535, 536, 264, 634, 2040, 540, 476, 274, 543, 513, 1297, 476, 274, 1341, 1535, 610, 1535, 1341, 476, 274, 524, 264, 476, 277, 811, 982, 513, 1297, 1535, 1341, 476, 277, 610, 476, 277, 1341, 1535, 546, 264, 1107, 476, 1428, 3773, 547, 513, 1297, 1107, 476, 1428, 1341, 1535, 610, 1535, 1341, 1107, 476, 1428, 552, 264, 589, 1297, 2799, 676, 476, 273, 1535, 1341, 476, 273, 610, 476, 273, 1341, 1535, 5565, 2953, 2081, 547, 2328, 1142, 1840, 4082, 780, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 275, 25927, 908, 6478, 1912, 29320, 883, 10789, 545, 25285, 3503, 1142, 8360, 607, 606, 15821, 4082, 269, 2422, 1535, 607, 519, 4756, 269, 12327, 21283, 4041, 476, 272, 25927, 908, 6478, 1912, 29320, 9293, 31580, 545, 20309, 535, 264, 476, 279, 1447, 982, 513, 1297, 1535, 1107, 476, 279, 575, 264, 589, 1297, 10208, 539, 689, 476, 272, 476, 272, 1107, 1535, 554, 264, 476, 277, 10208, 539, 689, 513, 1297, 1535, 1107, 476, 277, 1775, 264, 589, 1297, 8519, 676, 476, 275, 1535, 1107, 476, 275, 795, 264, 476, 280, 14263, 513, 1297, 476, 280, 1107, 1535, 8307, 835, 2953, 1259, 547, 2328, 1142, 12408, 4082, 780, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 276, 634, 11352, 540, 16301, 31962, 602, 1840, 666, 581, 2944, 538, 1022, 1931, 267, 865, 1535, 1341, 476, 275, 3947, 519, 1482, 1267, 607, 476, 275, 1341, 1535, 269, 901, 568, 711, 3020, 538, 12408, 267, 865, 581, 6297, 269, 476, 274, 1107, 1535, 1281, 711, 2285, 519, 1482, 1267, 607, 1535, 1107, 476, 274, 269, 11404, 28513, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 277, 25927, 908, 6478, 1912, 29320, 883, 10789, 545, 25285, 3503, 1142, 8360, 607, 606, 15821, 4082, 269, 2422, 1535, 607, 519, 4756, 269, 12327, 21283, 4041, 476, 273, 25927, 908, 6478, 1912, 29320, 9293, 31580, 545, 20309, 513, 264, 476, 279, 2053, 513, 1297, 476, 279, 343, 279, 343, 536, 264, 634, 1587, 540, 476, 3953, 543, 513, 1297, 476, 3953, 343, 524, 264, 17677, 513, 1297, 630, 26074, 476, 273, 2053, 264, 273, 343, 273, 343, 546, 264, 634, 23479, 540, 1107, 476, 278, 543, 513, 1297, 552, 264, 589, 1297, 5258, 676, 476, 275, 535, 264, 476, 1691, 10208, 539, 689, 476, 274, 2053, 513, 1297, 1107, 278, 1700, 278, 1535, 1535, 476, 275, 476, 274, 343, 1107, 476, 1691, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 278, 25927, 908, 6478, 1912, 29320, 883, 10789, 545, 25285, 3503, 1142, 8360, 607, 606, 15821, 4082, 269, 2422, 1535, 607, 519, 4756, 269, 12327, 21283, 4041, 476, 273, 25927, 908, 6478, 1912, 29320, 9293, 31580, 545, 20309, 575, 264, 634, 1267, 568, 25883, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 279, 25927, 908, 513, 22054, 883, 606, 17817, 1403, 476, 275, 2053, 513, 1297, 568, 3773, 547, 476, 1428, 267, 519, 1267, 568, 476, 1556, 269, 4855, 519, 1297, 269, 12327, 21283, 4041, 476, 274, 25927, 908, 513, 22054, 883, 606, 17817, 2913, 1535, 2099, 519, 7164, 1297, 269, 476, 275, 343, 275, 343, 476, 275, 2053, 513, 1297, 1341, 3773, 547, 476, 1428, 815, 568, 476, 1556, 476, 275, 343, 1341, 476, 1428, 815, 476, 1556, 1107, 476, 1428, 476, 275, 343, 1341, 476, 1428, 815, 1107, 476, 275, 476, 275, 476, 275, 1535, 1341, 476, 1428, 815, 1107, 476, 272, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 280, 25927, 908, 513, 22054, 883, 606, 17817, 1403, 476, 275, 2053, 513, 1297, 568, 3773, 547, 476, 1428, 267, 519, 1267, 568, 476, 1556, 269, 4855, 519, 1297, 269, 12327, 21283, 4041, 476, 274, 25927, 908, 22054, 883, 606, 17817, 476, 275, 1107, 476, 272, 1403, 476, 275, 2053, 513, 1297, 568, 3773, 547, 476, 1428, 267, 519, 1267, 568, 476, 1556, 269, 1341, 1428, 284, 1556, 6744, 3619, 1394, 547, 519, 1913, 540, 519, 3312, 1966, 269, 6496, 476, 275, 1107, 476, 272, 1341, 476, 1428, 2731, 3160, 476, 1556, 286, 8786, 269, 476, 275, 1107, 476, 272, 1341, 476, 1428, 815, 1107, 476, 275, 1341, 476, 1428, 815, 476, 1556, 269, 1924, 1107, 476, 272, 568, 519, 2953, 3070, 1317, 621, 1568, 950, 596, 2322, 621, 1394, 883, 519, 3312, 1966, 780, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1015, 14572, 606, 13335, 9046, 5153, 476, 272, 3367, 519, 1966, 2899, 547, 1294, 1018, 621, 568, 827, 269, 3367, 621, 5402, 513, 2034, 942, 269, 1306, 596, 1224, 267, 1118, 513, 17250, 610, 2328, 2262, 2453, 602, 2697, 519, 1634, 543, 519, 7164, 2694, 540, 519, 1966, 269, 5153, 476, 273, 630, 320, 264, 1403, 972, 568, 835, 7164, 7274, 267, 3651, 513, 4756, 547, 2099, 621, 269, 3503, 1524, 1018, 707, 4756, 4564, 269, 5153, 476, 273, 630, 321, 264, 1403, 972, 568, 811, 982, 835, 7164, 7274, 267, 3651, 513, 4756, 547, 2099, 519, 3364, 596, 917, 519, 2547, 827, 269, 3973, 2328, 4756, 4082, 4433, 1070, 1210, 519, 1482, 4756, 267, 547, 1397, 519, 2078, 540, 519, 824, 7164, 9424, 547, 519, 1101, 835, 269, 4797, 2507, 14572, 606, 13335, 9046, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1556, 5153, 476, 274, 3503, 606, 3830, 267, 1210, 707, 17250, 610, 2262, 2453, 607, 513, 3391, 269, 5153, 476, 275, 16534, 519, 3830, 269, 5153, 476, 276, 3557, 519, 2626, 547, 519, 2243, 538, 519, 1966, 543, 6003, 707, 2626, 269, 5153, 476, 277, 6744, 2436, 707, 2626, 13352, 782, 519, 5013, 2016, 538, 519, 3312, 3948, 540, 519, 1966, 269, 1403, 621, 1281, 267, 596, 616, 2944, 269, 1403, 621, 1281, 660, 267, 1376, 1586, 693, 5153, 476, 272, 269, 14572, 606, 13335, 9046, 630, 11666, 4240, 264, 14572, 606, 13335, 9046, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1321, 14572, 606, 13335, 9046, 281, 2290, 32148, 10829, 640, 12327, 21283, 4041, 476, 275, 13335, 10819, 281, 2290, 32148, 10829, 640, 19375, 6591, 476, 279, 6550, 936, 519, 5162, 269, 1261, 4682, 593, 513, 2732, 543, 4503, 476, 1321, 6550, 269, 3973, 646, 1036, 7134, 476, 1428, 6550, 543, 26693, 476, 4572, 6550, 269, 1215, 1454, 1705, 646, 9260, 8385, 286, 5153, 476, 272, 3367, 519, 1966, 2899, 269, 898, 568, 827, 631, 10105, 2597, 269, 3367, 621, 513, 2034, 942, 543, 2328, 2262, 2453, 269, 5153, 476, 273, 5416, 264, 1703, 568, 1152, 835, 7164, 7274, 267, 865, 3651, 513, 4756, 547, 2099, 621, 269, 2913, 530, 2099, 631, 10105, 3312, 2597, 269, 5153, 476, 274, 3503, 606, 3830, 267, 1210, 519, 2453, 596, 5206, 607, 513, 3391, 269, 3399, 13379, 530, 23452, 476, 1321, 1107, 476, 1321, 717, 7134, 476, 1428, 1341, 476, 1428, 7736, 532, 13379, 815, 476, 4572, 717, 7134, 476, 279, 1341, 476, 279, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1724, 5153, 476, 275, 16534, 519, 3830, 269, 530, 1341, 476, 279, 1107, 476, 1321, 1341, 476, 1428, 815, 476, 4572, 530, 1341, 476, 1556, 815, 476, 4572, 1107, 476, 1556, 530, 815, 476, 8687, 14572, 606, 13335, 9046, 281, 2290, 32148, 10829, 640, 12327, 21283, 4041, 476, 275, 13335, 10819, 281, 2290, 32148, 10829, 640, 19375, 6591, 476, 279, 6550, 936, 519, 5162, 269, 1261, 4682, 593, 513, 2732, 543, 4503, 476, 1321, 6550, 269, 3973, 646, 1036, 7134, 476, 1428, 6550, 543, 26693, 476, 4572, 6550, 269, 1215, 1454, 1705, 646, 9260, 8385, 2496, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1691, 5153, 476, 276, 3557, 519, 2626, 547, 519, 2243, 267, 1215, 1454, 1705, 646, 9260, 8385, 286, 19375, 8385, 26693, 476, 8687, 6550, 269, 14572, 606, 13335, 9046, 281, 2290, 32148, 10829, 640, 12327, 21283, 4041, 476, 275, 13335, 10819, 281, 2290, 32148, 10829, 640, 19375, 6591, 476, 279, 6550, 936, 519, 5162, 269, 1261, 4682, 593, 513, 2732, 543, 4503, 476, 1321, 6550, 269, 3973, 646, 1036, 7134, 476, 1428, 6550, 543, 26693, 476, 4572, 6550, 269, 1215, 1454, 1705, 646, 9260, 8385, 2496, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1428, 5153, 476, 277, 6744, 519, 3070, 676, 2469, 1394, 547, 519, 3312, 1966, 543, 29780, 519, 3070, 269, 5221, 476, 8687, 6550, 1568, 950, 596, 2322, 621, 1394, 883, 519, 3312, 1966, 267, 596, 917, 621, 568, 519, 2953, 3070, 269, 20323, 26693, 476, 8687, 6550, 269, 717, 7134, 476, 279, 7273, 267, 865, 476, 8687, 1341, 476, 279, 815, 476, 6245, 6550, 23452, 476, 1321, 7273, 267, 865, 476, 6245, 1107, 476, 1321, 815, 476, 10082, 6550, 717, 7134, 476, 1428, 7273, 267, 865, 476, 10082, 1341, 476, 1428, 815, 476, 4572, 6550, 14572, 606, 13335, 9046, 281, 2290, 32148, 10829, 640, 12327, 21283, 4041, 476, 275, 13335, 10819, 281, 2290, 32148, 10829, 640, 19375, 6591, 476, 279, 6550, 936, 519, 5162, 269, 1261, 4682, 593, 513, 2732, 543, 4503, 476, 1321, 6550, 269, 3973, 646, 1036, 7134, 476, 1428, 6550, 543, 26693, 476, 4572, 6550, 269, 1215, 1454, 1705, 646, 9260, 8385, 2496, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1626, 15608, 12349, 476, 277, 10833, 540, 30300, 1513, 269, 1261, 5795, 1010, 23122, 476, 1321, 30300, 1513, 267, 1010, 1870, 7649, 476, 276, 30300, 1513, 267, 543, 1010, 2272, 656, 476, 866, 30300, 1513, 269, 1403, 15608, 814, 476, 1321, 30300, 1513, 6967, 267, 875, 1082, 941, 538, 1142, 4216, 646, 12349, 286, 5153, 476, 272, 3367, 519, 1966, 2899, 269, 898, 568, 827, 476, 277, 10833, 540, 30300, 1513, 269, 32148, 281, 519, 1297, 540, 30300, 1513, 538, 1142, 4216, 12349, 269, 19612, 281, 476, 277, 10833, 282, 5795, 2476, 476, 1321, 267, 476, 276, 267, 543, 476, 866, 30300, 1513, 269, 5153, 476, 273, 5416, 264, 1703, 568, 1152, 835, 7164, 7274, 269, 25849, 513, 4756, 267, 536, 267, 547, 2099, 519, 1297, 540, 30300, 1513, 538, 1142, 4216, 269, 14572, 606, 13335, 9046, 281, 2290, 32148, 10829, 640, 12327, 21283, 4041, 476, 276, 13335, 10819, 281, 2290, 32148, 10829, 640, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1704, 5153, 476, 274, 3503, 606, 3830, 269, 15608, 12349, 476, 277, 10833, 540, 30300, 1513, 269, 1261, 5795, 1010, 23122, 476, 1321, 30300, 1513, 267, 1010, 1870, 7649, 476, 276, 30300, 1513, 267, 543, 1010, 2272, 656, 476, 866, 30300, 1513, 269, 1403, 15608, 814, 476, 1321, 30300, 1513, 6967, 267, 875, 1082, 941, 538, 1142, 4216, 646, 12349, 286, 7089, 540, 10833, 476, 277, 7089, 538, 1142, 4216, 536, 717, 1511, 2476, 1107, 476, 1321, 2549, 870, 6967, 815, 476, 1321, 717, 1511, 2476, 1107, 476, 276, 14572, 606, 13335, 9046, 281, 2290, 32148, 10829, 640, 12327, 21283, 4041, 476, 276, 13335, 10819, 281, 2290, 32148, 10829, 640, 717, 1511, 2476, 1107, 476, 866, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 1240, 5153, 476, 275, 16534, 519, 3830, 269, 476, 277, 321, 1107, 476, 1321, 1107, 476, 276, 1107, 476, 866, 815, 476, 1321, 476, 277, 321, 1107, 476, 3607, 815, 476, 1321, 1341, 476, 3607, 476, 277, 321, 815, 476, 4366, 476, 277, 476, 277, 536, 815, 476, 279, 15608, 12349, 476, 277, 10833, 540, 30300, 1513, 269, 1261, 5795, 1010, 23122, 476, 1321, 30300, 1513, 267, 1010, 1870, 7649, 476, 276, 30300, 1513, 267, 543, 1010, 2272, 656, 476, 866, 30300, 1513, 269, 1403, 15608, 814, 476, 1321, 30300, 1513, 6967, 267, 875, 1082, 941, 538, 1142, 4216, 646, 12349, 286, 14572, 606, 13335, 9046, 281, 2290, 32148, 10829, 640, 12327, 21283, 4041, 476, 276, 13335, 10819, 281, 2290, 32148, 10829, 640, 692, 2419, 476, 274, 27116, 476, 274, 281, 22391, 1948, 866, 5153, 476, 276, 3557, 519, 2626, 269, 1703, 941, 476, 279, 30300, 1513, 538, 1142, 4216, 269, 5153, 476, 277, 6744, 519, 3070, 1210, 519, 3312, 1966, 269, 476, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16978, 549, 935, 341, 14601, 3797, 630, 17614, 264, 568, 1031, 547, 1521, 3075, 15033, 19591, 4713, 269, 634, 2164, 540, 2090, 593, 519, 7271, 5817, 519, 7145, 540, 661, 6311, 593, 4965, 616, 1869, 11786, 269, 661, 6311, 17003, 568, 2356, 3677, 982, 519, 12939, 540, 15632, 540, 17465, 543, 11852, 540, 2898, 1532, 1778, 568, 5156, 547, 581, 2556, 547, 3132, 9354, 2360, 269, 589, 2582, 661, 6311, 8400, 28901, 19260, 540, 519, 6850, 775, 13921, 6945, 630, 7417, 294, 264, 1519, 3355, 3134, 850, 10364, 17579, 525, 267, 1287, 3500, 6329, 267, 543, 6368, 24609, 539, 661, 9680, 269, 15901, 730, 661, 6311, 2164, 538, 606, 2810, 1297, 540, 14887, 6329, 538, 519, 661, 9680, 585, 607, 1279, 607, 513, 3923, 269, 661, 6311, 14001, 2242, 538, 1585, 32239, 1949, 723, 849, 1044, 4080, 269, 5395, 20561, 630, 276, 31622, 6918, 12682, 7973, 8533, 267, 476, 276, 6953, 307, 264, 568, 835, 540, 519, 1034, 1271, 30088, 3238, 538, 19591, 4576, 267, 543, 661, 6311, 32290, 1896, 476, 276, 6953, 307, 3146, 1061, 528, 1016, 18196, 538, 519, 3844, 8401, 1062, 269, 476, 276, 6953, 307, 272, 288, 13364, 538, 2022, 1606, 2106, 25443, 11409, 616, 22740, 1242, 676, 7368, 661, 6311, 267, 855, 1346, 538, 840, 1606, 2106, 25443, 11409, 630, 2246, 334, 3146, 1061, 832, 264, 616, 711, 4957, 269, 769, 1840, 267, 938, 32661, 903, 8344, 2090, 723, 3254, 602, 661, 6311, 4679, 8417, 547, 476, 276, 6953, 307, 540, 476, 276, 6953, 307, 274, 13364, 538, 519, 28481, 25283, 267, 4611, 538, 606, 2333, 538, 5305, 540, 30088, 971, 607, 22965, 600, 622, 543, 29339, 268, 3133, 984, 14280, 878, 3679, 269, 769, 4334, 267, 661, 6311, 11081, 519, 10081, 3146, 1061, 528, 3252, 538, 6862, 611, 1066, 21544, 543, 17585, 3133, 21544, 11409, 538, 519, 30580, 1071, 518, 2544, 639, 543, 6086, 807, 562, 580, 571, 267, 6606, 267, 4611, 538, 606, 2333, 538, 5305, 540, 6862, 611, 1066, 13824, 543, 22006, 269, 769, 3932, 267, 476, 276, 6953, 307, 272, 288, 3146, 1061, 528, 22740, 1436, 949, 581, 1271, 585, 7713, 519, 7145, 540, 661, 6311, 267, 607, 713, 1689, 28901, 513, 6175, 538, 519, 1297, 540, 476, 276, 6953, 307, 273, 288, 13364, 602, 616, 11506, 538, 19591, 2550, 269, 11120, 10949, 540, 32239, 13847, 1813, 547, 476, 276, 6953, 307, 274, 3146, 1061, 528, 22740, 1436, 676, 661, 6311, 949, 849, 1404, 606, 1271, 1909, 538, 2500, 2126, 540, 19591, 2550, 18195, 800, 547, 9354, 5061, 563, 13146, 3356, 538, 32661, 903, 8344, 543, 18784, 2553, 723, 13087, 721, 547, 7447, 608, 26014, 5328, 543, 840, 7721, 26014, 5328, 2621, 538, 519, 5728, 800, 12227, 538, 2582, 25524, 12498, 16052, 338, 269, 1284, 723, 1044, 4974, 6127, 3238, 538, 519, 7939, 540, 7378, 11491, 2544, 3350, 267, 799, 7727, 5305, 268, 2819, 11491, 2737, 267, 676, 1463, 14839, 540, 11491, 2544, 6808, 538, 2713, 12498, 16052, 338, 543, 1336, 519, 3350, 547, 581, 14931, 676, 513, 7271, 1114, 689, 602, 9013, 608, 26014, 2670, 269, 3245, 519, 5833, 4681, 1927, 609, 1346, 689, 32661, 903, 8344, 4485, 267, 513, 1007, 1620, 540, 519, 1909, 540, 519, 2629, 2034, 28034, 6970, 273, 31956, 543, 824, 2034, 3190, 12310, 267, 607, 1134, 607, 25739, 3940, 8485, 800, 3175, 814, 1044, 6383, 269, 634, 2832, 540, 713, 2689, 568, 547, 4766, 513, 5348, 1120, 2065, 3060, 585, 519, 1852, 540, 7378, 5305, 676, 2034, 3190, 12310, 543, 3940, 10252, 1162, 563, 763, 2832, 540, 713, 1353, 729, 547, 8495, 519, 9354, 7145, 540, 22725, 573, 760, 710, 538, 8482, 17376, 821, 31380, 29998, 2400, 3731, 630, 306, 16281, 9915, 264, 609, 6147, 15842, 341, 6018, 15087, 538, 6476, 609, 12137, 731, 760, 710, 269, 15562, 305, 9915, 941, 10480, 476, 272, 260, 29649, 607, 6704, 1216, 269, 2991, 519, 12614, 540, 8482, 267, 29649, 729, 8719, 609, 1216, 543, 1142, 3075, 729, 13950, 30375, 2899, 513, 1554, 585, 476, 274, 4374, 269, 769, 519, 3075, 268, 2863, 8972, 1895, 267, 24088, 540, 8482, 729, 7368, 267, 21324, 543, 993, 601, 1640, 566, 540, 14715, 22907, 630, 21254, 264, 941, 7368, 267, 543, 1277, 1670, 6514, 543, 6482, 540, 6237, 1973, 2095, 630, 337, 289, 293, 264, 1210, 1875, 2784, 1470, 5562, 11954, 2890, 4944, 12742, 5340, 693, 519, 1439, 540, 2126, 7000, 4049, 14796, 543, 3648, 8519, 678, 289, 293, 538, 2634, 543, 8459, 267, 6606, 269, 769, 8459, 267, 711, 1152, 22725, 573, 760, 710, 630, 272, 8406, 21515, 264, 855, 849, 12137, 731, 760, 710, 630, 1789, 8406, 21515, 264, 8519, 15466, 15087, 543, 993, 601, 1640, 730, 1970, 8573, 289, 293, 3648, 269, 5637, 5061, 849, 7409, 1243, 519, 24088, 540, 8482, 4625, 1256, 693, 513, 1970, 9570, 602, 1705, 711, 993, 601, 1640, 622, 4049, 13119, 269, 3026, 584, 4689, 14796, 543, 27020, 538, 1142, 22725, 573, 760, 710, 2389, 8972, 1895, 941, 993, 601, 1640, 730, 3648, 267, 6466, 1346, 538, 1142, 12137, 731, 760, 710, 2389, 8972, 1895, 941, 5594, 4824, 269, 700, 29403, 760, 710, 693, 476, 272, 8406, 21515, 4805, 993, 601, 1640, 730, 519, 19548, 1970, 8573, 289, 293, 3648, 1256, 693, 476, 2190, 32162, 1310, 7245, 269, 1452, 2164, 2303, 602, 513, 1279, 18835, 6454, 540, 1970, 8573, 289, 293, 1310, 8482, 949, 581, 3730, 538, 519, 2126, 540, 15562, 305, 9915, 609, 6147, 15842, 341, 6018, 15087, 563, 307, 4461, 592, 28009, 267, 513, 16496, 14668, 272, 288, 14194, 1066, 334, 1061, 528, 21087, 626, 267, 543, 1768, 1794, 28009, 267, 513, 1875, 5498, 29193, 835, 267, 616, 2500, 585, 519, 2126, 540, 17256, 19717, 1813, 547, 22480, 14382, 1738, 29998, 15577, 269, 769, 519, 1459, 1353, 267, 741, 14668, 272, 14194, 1066, 334, 1061, 528, 1532, 24286, 2360, 593, 1973, 8043, 267, 799, 949, 2014, 9647, 739, 1738, 5492, 3290, 267, 941, 11567, 538, 476, 1015, 2635, 9038, 269, 2991, 519, 5396, 3576, 30375, 476, 271, 269, 273, 8406, 540, 512, 4461, 592, 28009, 267, 476, 272, 8406, 540, 1768, 1794, 28009, 610, 513, 14915, 622, 23555, 607, 519, 1852, 538, 513, 19747, 3444, 27492, 6752, 267, 741, 9416, 9133, 21729, 27019, 560, 2774, 528, 3210, 547, 4411, 14242, 543, 21729, 27019, 560, 2774, 528, 3210, 540, 519, 24725, 1688, 18916, 547, 2810, 13066, 540, 4307, 1803, 31058, 941, 8947, 269, 634, 9416, 9133, 21729, 27019, 560, 2774, 528, 3210, 729, 3648, 4389, 543, 519, 30376, 2557, 540, 4307, 1803, 31058, 6721, 513, 3368, 2173, 1314, 2711, 1526, 9689, 729, 3648, 2799, 676, 1768, 1794, 28009, 267, 855, 512, 4461, 592, 28009, 1185, 1100, 1713, 1198, 593, 891, 6724, 269, 1452, 1239, 2303, 602, 519, 8912, 9570, 540, 512, 4461, 592, 28009, 11851, 338, 2370, 14668, 272, 14194, 1066, 334, 1061, 528, 1532, 24286, 2534, 593, 1973, 8043, 267, 543, 9647, 739, 1738, 14501, 1522, 581, 7646, 267, 952, 1022, 267, 1282, 519, 2126, 609, 512, 4461, 592, 28009, 563, 2171, 11567, 519, 12117, 540, 1277, 26593, 593, 11379, 31398, 6897, 1436, 13251, 18038, 2643, 9097, 630, 6440, 15121, 264, 5108, 538, 519, 29414, 5714, 540, 3731, 26961, 1756, 676, 513, 4827, 4601, 15841, 2890, 323, 658, 1736, 4480, 630, 302, 1062, 1040, 2991, 519, 3731, 729, 606, 652, 2867, 1242, 267, 513, 2890, 323, 658, 1736, 16785, 729, 5579, 5896, 538, 519, 2451, 5887, 14152, 26961, 1756, 267, 543, 1287, 9770, 2892, 545, 2643, 622, 538, 681, 5424, 779, 3070, 630, 271, 269, 276, 16354, 565, 270, 19031, 331, 829, 8792, 264, 729, 29689, 547, 3713, 519, 5108, 540, 5788, 15121, 607, 10630, 676, 519, 1875, 523, 9195, 1738, 5250, 540, 476, 273, 267, 476, 274, 26817, 5139, 32611, 17754, 15605, 545, 3679, 630, 291, 295, 10621, 1040, 5606, 4288, 540, 918, 5141, 630, 3583, 544, 300, 264, 5693, 3812, 606, 2333, 538, 5788, 15121, 5250, 269, 1717, 267, 950, 918, 5141, 538, 519, 4527, 540, 513, 1164, 5834, 540, 1277, 26593, 630, 1839, 544, 300, 264, 729, 29689, 998, 519, 2890, 323, 658, 1736, 16785, 267, 918, 5141, 8959, 547, 2333, 519, 476, 273, 267, 476, 274, 5937, 295, 10621, 5250, 269, 1677, 4983, 519, 1198, 540, 1277, 26593, 593, 29769, 807, 3146, 704, 325, 4288, 540, 519, 26961, 1756, 267, 519, 2295, 729, 16271, 547, 26961, 658, 29769, 807, 585, 476, 1428, 1295, 676, 29473, 2424, 540, 519, 2451, 18751, 27312, 18337, 16050, 630, 299, 4696, 1040, 1879, 519, 2295, 729, 17777, 325, 4310, 267, 513, 6825, 15038, 540, 519, 2157, 540, 476, 273, 267, 476, 274, 5937, 295, 10621, 729, 4767, 538, 519, 2295, 3866, 903, 622, 269, 1717, 267, 950, 7222, 6901, 941, 5340, 609, 1277, 26593, 630, 1839, 544, 300, 9984, 13133, 8972, 2831, 267, 1277, 26593, 15286, 519, 29769, 807, 3146, 704, 325, 4288, 13251, 5788, 15121, 5250, 16290, 607, 476, 273, 267, 476, 274, 5937, 295, 10621, 269, 1452, 2164, 5815, 602, 1277, 26593, 949, 2149, 1996, 918, 266, 268, 24119, 6897, 1436, 17272, 12097, 5788, 15121, 5108, 538, 3731, 26961, 1756, 563, 4504, 571, 1066, 531, 30376, 540, 476, 275, 1790, 550, 523, 18757, 3679, 568, 1634, 547, 2539, 17669, 9729, 673, 21085, 1543, 543, 2014, 513, 5786, 538, 1350, 9593, 983, 19288, 2557, 630, 294, 15709, 1040, 634, 27327, 538, 30859, 10307, 1522, 32433, 519, 2504, 540, 20722, 27343, 267, 7551, 19310, 1746, 519, 2887, 538, 717, 15709, 269, 901, 1353, 729, 5342, 547, 4983, 2436, 476, 275, 1790, 550, 523, 18757, 3679, 22262, 17669, 2504, 540, 20722, 27343, 267, 543, 952, 865, 267, 547, 4983, 519, 1909, 540, 20722, 27343, 589, 272, 13805, 538, 519, 5786, 540, 717, 15709, 676, 476, 275, 1790, 550, 523, 18757, 3679, 269, 2060, 30376, 540, 476, 275, 1790, 550, 523, 18757, 3679, 630, 272, 13179, 28485, 6440, 11899, 268, 272, 6440, 2381, 268, 272, 264, 883, 519, 17669, 16050, 540, 606, 652, 2867, 1242, 5243, 267, 717, 15709, 7930, 8519, 543, 6603, 5934, 693, 476, 2568, 1295, 609, 2418, 8151, 689, 476, 3451, 269, 280, 22144, 273, 269, 273, 547, 476, 736, 269, 273, 22144, 273, 269, 279, 16720, 26553, 269, 26681, 17669, 1973, 2095, 6862, 1611, 27555, 2604, 729, 4299, 267, 855, 8685, 983, 556, 25388, 1632, 540, 1216, 543, 9770, 729, 3648, 22887, 18050, 269, 11412, 531, 27625, 11919, 5834, 543, 17256, 608, 17917, 540, 20722, 27343, 9782, 6825, 569, 630, 736, 24670, 264, 1510, 1022, 1689, 538, 27555, 5834, 267, 11021, 602, 17669, 20722, 27343, 2504, 729, 21284, 676, 476, 275, 1790, 550, 523, 18757, 3679, 269, 1717, 267, 918, 310, 268, 29496, 273, 630, 279, 24179, 24335, 611, 600, 656, 534, 268, 274, 268, 2643, 9984, 272, 267, 476, 274, 1673, 760, 1886, 2643, 343, 13183, 710, 1070, 513, 16496, 21087, 626, 540, 519, 20722, 27343, 589, 272, 13805, 267, 1705, 711, 1860, 519, 2962, 540, 476, 275, 1790, 550, 523, 18757, 3679, 593, 717, 15709, 610, 17669, 7829, 540, 1216, 543, 9770, 269, 898, 568, 11943, 602, 476, 275, 1790, 550, 523, 18757, 3679, 6825, 569, 4679, 17669, 20722, 27343, 2504, 267, 855, 20722, 27343, 589, 272, 13805, 568, 711, 3238, 538, 519, 476, 275, 1790, 550, 523, 18757, 3679, 14001, 26669, 549, 1729, 13877, 640, 563, 299, 2378, 583, 26593, 568, 513, 1007, 1826, 4550, 592, 1356, 8665, 609, 1884, 1047, 4038, 800, 543, 8819, 1886, 8527, 624, 633, 2238, 269, 1284, 11567, 519, 1198, 540, 561, 2378, 583, 26593, 593, 967, 558, 996, 659, 514, 14001, 1884, 1537, 22377, 538, 1201, 539, 14148, 269, 4427, 12827, 10389, 967, 558, 996, 659, 514, 13297, 8507, 538, 519, 5250, 540, 23441, 1884, 1537, 22377, 269, 700, 2378, 583, 26593, 630, 272, 910, 476, 1015, 8406, 21515, 267, 533, 269, 334, 4700, 4389, 519, 1858, 540, 22377, 538, 513, 9570, 17466, 6073, 950, 13950, 5612, 1310, 519, 967, 558, 996, 659, 514, 13297, 269, 595, 2355, 24191, 514, 693, 476, 274, 8406, 21515, 267, 533, 269, 334, 269, 543, 476, 1626, 267, 476, 1626, 1673, 574, 14007, 14382, 698, 1633, 514, 661, 273, 693, 476, 274, 13179, 326, 21515, 267, 533, 269, 334, 269, 849, 4389, 519, 22377, 1858, 269, 11906, 632, 3530, 5166, 566, 540, 11503, 24191, 514, 25259, 11409, 610, 15726, 5991, 527, 549, 6441, 268, 1173, 24100, 2126, 24395, 730, 519, 22377, 5250, 543, 27618, 519, 15324, 1198, 540, 561, 2378, 583, 26593, 543, 11503, 24191, 514, 269, 2991, 519, 15632, 540, 23441 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 714, 321, 4275, 2652, 476, 272, 912, 1038, 17028, 330, 21532, 318, 17383, 7588, 320, 318, 3534, 318, 345, 11530, 328, 4590, 1038, 562, 1794, 1690, 4590, 825, 8640, 476, 714, 321, 4275, 2652, 476, 273, 912, 1038, 10540, 27826, 16660, 4590, 1038, 562, 1794, 1690, 4590, 825, 3116, 912, 1038, 1820, 3488, 2710, 13439, 1194, 333, 10202, 25155, 256, 5073, 1038, 14827, 30800, 3698, 10540, 27826, 16660, 10031, 825, 8173, 825, 623, 27996, 385, 378, 324, 1990, 5864, 651, 21350, 7588, 267, 737, 328, 795, 8811, 683, 14150, 10540, 27826, 16660, 798, 321, 822, 331, 10937, 563, 825, 8173, 825, 708, 324, 7272, 617, 27826, 10937, 815, 3403, 2891, 309, 5886, 328, 708, 324, 10540, 27826, 10937, 281, 834, 2020, 825, 10540, 520, 7288, 815, 2203, 328, 269, 345, 5864, 651, 7272, 617, 27826, 10937, 263, 830, 7272, 617, 27826, 10937, 264, 825, 454, 825, 585, 10540, 622, 330, 538, 10540, 520, 7288, 912, 1038, 1820, 2891, 303, 617, 27826, 16660, 798, 321, 822, 331, 10937, 1990, 5864, 14150, 281, 15079, 2668, 8971, 9230, 335, 617, 622, 330, 4297, 2020, 7531, 3698, 17028, 330, 21532, 318, 17383, 7588, 320, 318, 3534, 318, 345, 11530, 328, 10031, 825, 8173, 825, 674, 6064, 857, 10937, 840, 20795, 974, 16660, 21350, 7588, 320, 454, 825, 8173, 825, 642, 333, 657, 815, 3403, 3488, 296, 345, 321, 597, 622, 561, 1695, 14150, 1199, 281, 667, 19342, 267, 670, 2320, 573, 267, 5484, 11142, 267, 1773, 514, 281, 30386, 825, 1820, 263, 7116, 7942, 21993, 565, 27323, 318, 822, 339, 990, 17635, 333, 657, 11723, 692, 3698, 562, 1794, 1690, 10031, 825, 8173, 825, 674, 6064, 857, 10937, 562, 1563, 328, 267, 13005, 694, 1093, 909, 528, 629, 23364, 990, 328, 721, 701, 20795, 14269, 1093, 714, 1386, 6798, 683, 642, 337, 26937, 334, 512, 752, 19390, 14255, 1093, 714, 1386, 990, 534, 16660, 454, 825, 8173, 825, 588, 815, 6936, 454, 825, 1247, 588, 912, 1038, 588, 815, 3403, 3488, 313, 320, 562, 1794, 1690, 737, 331, 1731, 14269, 9373, 281, 17210, 3698, 1292, 10031, 825, 1820, 3488, 303, 9926, 323, 9545, 331, 329, 523, 328, 642, 536, 21532, 21350, 7588, 256, 5073, 825, 4779, 345, 333, 739, 328, 815, 834, 257, 476, 2971, 7462, 928, 330, 1690, 23040, 27599, 454, 825, 1247, 6936, 912, 1038, 533, 758, 21532, 8548, 9926, 333, 739, 328, 9852, 9926, 333, 739, 328, 2020, 10852, 3890, 0, 5228, 3730, 8548, 1385, 338, 1104, 2608, 692, 6112, 6936, 1384, 825, 1535, 815, 3403, 2891, 11767, 513, 3758, 2012, 281, 19515, 825, 586, 815, 3403, 2891, 11767, 513, 1642, 9014, 281, 834, 2020, 825, 1820, 2891, 15419, 825, 1449, 815, 3758, 2414, 8266, 3287, 267, 586, 2020, 825, 1820, 6025, 652, 2020, 825, 1820, 2891, 15419, 692, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 12163, 30903, 502, 25203, 362, 16088, 10524, 492, 272, 5991, 10533, 368, 12255, 18809, 272, 24731, 27064, 364, 7511, 418, 361, 350, 12255, 454, 10524, 492, 272, 476, 28996, 562, 476, 18809, 272, 24731, 27064, 364, 7511, 418, 361, 350, 12255, 692, 26233, 507, 420, 371, 363, 16088, 454, 272, 18998, 328, 26166, 10254, 360, 9463, 500, 14748, 12916, 491, 18998, 22287, 479, 12916, 491, 18998, 419, 503, 378, 12916, 491, 419, 511, 487, 8147, 26166, 10254, 360, 28098, 30006, 493, 14748, 12255, 12916, 491, 31968, 20069, 14035, 504, 16533, 495, 25060, 483, 12571, 360, 272, 7511, 30536, 13213, 505, 27310, 26166, 22909, 494, 454, 273, 18998, 21550, 373, 29004, 362, 328, 28098, 333, 13213, 505, 27310, 26166, 31176, 366, 8147, 10429, 370, 18809, 421, 360, 502, 12916, 491, 16088, 320, 815, 562, 270, 328, 5236, 376, 490, 12916, 492, 12916, 491, 321, 284, 333, 260, 328, 454, 10429, 365, 20069, 23284, 31284, 4970, 487, 26175, 491, 418, 481, 483, 19540, 369, 16088, 454, 263, 272, 264, 13127, 377, 497, 419, 503, 378, 12916, 491, 28098, 18021, 498, 7511, 12255, 285, 284, 273, 610, 815, 271, 28793, 8147, 28032, 489, 417, 28187, 333, 815, 476, 27183, 6321, 267, 1775, 815, 476, 1911, 454, 825, 513, 284, 27183, 8147, 321, 284, 6321, 267, 476, 10254, 503, 419, 503, 378, 12916, 491, 20992, 272, 28793, 10429, 365, 20069, 263, 27183, 270, 1015, 1341, 476, 272, 264, 815, 630, 27183, 266, 279, 8358, 1015, 815, 476, 3953, 12486, 14748, 12916, 491, 18998, 22287, 479, 12916, 491, 7511, 420, 490, 481, 18713, 368, 15159, 271, 1765, 4200, 284, 1911, 8147, 19867, 478, 23284, 10429, 365, 20069, 5416, 266, 279, 8358, 1015, 265, 328, 26175, 491, 418, 481, 483, 19540, 369, 454, 263, 273, 264, 13127, 377, 497, 419, 503, 378, 12916, 491, 28098, 18021, 498, 7511, 12255, 284, 272, 28793, 8147, 28032, 489, 417, 28187, 333, 815, 476, 25313, 6321, 267, 1775, 815, 476, 1911, 454, 825, 513, 284, 25313, 267, 536, 284, 6321, 267, 476, 10254, 503, 419, 503, 378, 12916, 491, 20992, 272, 28793, 10429, 365, 20069, 263, 25313, 4939, 476, 1015, 264, 26175, 491, 418, 481, 483, 19540, 369, 8147, 14748, 12916, 491, 18998, 22287, 479, 12916, 491, 7511, 420, 490, 481, 18713, 368, 15159, 271, 268, 6321, 284, 321, 266, 272, 267, 19867, 478, 23284, 10429, 365, 20069, 5416, 260, 1015, 2652, 476, 272, 31618, 321, 266, 272, 264, 26175, 491, 418, 481, 483, 19540, 369, 454, 263, 274, 264, 13127, 377, 497, 419, 503, 378, 12916, 491, 28098, 18021, 498, 7511, 12255, 20992, 271, 28793, 8147, 28032, 489, 417, 28187, 333, 815, 476, 20542, 6321, 267, 1775, 815, 476, 1911, 454, 825, 513, 284, 20542, 267, 536, 284, 6321, 267, 476, 10254, 503, 419, 503, 378, 12916, 491, 20992, 272, 28793, 10429, 365, 20069, 263, 20542, 1315, 476, 1015, 264, 815, 476, 4029, 26175, 491, 418, 481, 483, 19540, 369, 267, 476, 14748, 12916, 491, 18998, 22287, 479, 12916, 491, 7511, 420, 490, 481, 18713, 368, 15159, 271, 1765, 4200, 284, 1911, 8147, 19867, 478, 23284, 10429, 365, 20069, 5416, 266, 279, 8358, 1015, 265, 328, 26175, 491, 418, 481, 483, 19540, 369, 454, 12163, 5035, 8827, 912, 825, 1219, 7089, 8170, 272, 27001, 272, 4517, 301, 318, 11405, 4311, 267, 562, 2187, 1038, 759, 815, 476, 271, 454, 1038, 1775, 815, 476, 272, 454, 1038, 1247, 1775, 10922, 562, 912, 2018, 513, 815, 562, 270, 328, 454, 2018, 536, 815, 562, 260, 328, 454, 2018, 759, 6834, 630, 320, 266, 279, 8358, 1015, 265, 328, 1341, 630, 320, 260, 1015, 2652, 476, 272, 31618, 321, 266, 272, 994, 2018, 1775, 2608, 284, 476, 1015, 454, 1038, 2132, 759, 454, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 11742, 825, 2433, 476, 1708, 271, 270, 273, 270, 279, 270, 25484, 476, 2641, 281, 2420, 454, 258, 7711, 12041, 476, 2433, 544, 1263, 577, 7776, 454, 258, 7711, 306, 924, 825, 2433, 3097, 258, 7711, 17572, 825, 2433, 5589, 318, 5550, 290, 1478, 18258, 454, 258, 7711, 25413, 2264, 281, 12877, 2419, 1301, 454, 12163, 30903, 502, 25203, 362, 16088, 419, 509, 358, 25051, 351, 26109, 484, 25203, 500, 454, 16043, 495, 10524, 361, 23746, 23284, 17958, 273, 265, 272, 7511, 16533, 493, 419, 509, 358, 25051, 351, 418, 357, 359, 419, 507, 478, 16043, 500, 26033, 483, 419, 360, 500, 419, 507, 478, 31308, 375, 26109, 484, 25203, 500, 418, 505, 368, 27962, 7511, 419, 509, 358, 25051, 351, 12486, 13644, 371, 25426, 362, 17958, 333, 14748, 273, 265, 272, 7511, 16533, 493, 419, 509, 358, 25051, 351, 20721, 510, 19404, 491, 9463, 510, 17295, 364, 26109, 484, 25203, 500, 22047, 273, 265, 333, 7511, 27962, 419, 509, 358, 25051, 351, 8147, 26233, 375, 10429, 365, 20069, 14035, 504, 16533, 495, 26175, 491, 25913, 25622, 5405, 509, 692, 25335, 352, 25622, 12571, 490, 30837, 496, 420, 505, 503, 420, 371, 367, 9463, 364, 421, 502, 370, 8147, 325, 3799, 264, 815, 535, 3799, 268, 272, 264, 1341, 535, 3799, 268, 273, 1070, 535, 263, 272, 264, 815, 476, 272, 567, 535, 263, 273, 264, 815, 476, 273, 454, 12163, 5035, 8827, 912, 825, 1219, 6439, 290, 1478, 4311, 267, 1297, 2187, 1038, 759, 815, 1496, 271, 267, 272, 267, 273, 2639, 1038, 952, 1297, 10922, 476, 273, 912, 2018, 2132, 759, 314, 15893, 6540, 1038, 562, 272, 815, 476, 273, 1948, 535, 3799, 268, 272, 994, 1038, 562, 273, 815, 476, 272, 1948, 535, 3799, 268, 273, 994, 1038, 562, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 274, 267, 1297, 266, 272, 2187, 2018, 562, 815, 562, 272, 1341, 562, 273, 454, 2018, 562, 273, 815, 562, 272, 454, 2018, 562, 272, 815, 562, 454, 1038, 2132, 562, 454, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 12163, 30903, 502, 25203, 362, 16088, 4970, 495, 12255, 454, 418, 488, 488, 9463, 359, 25060, 483, 12571, 360, 420, 368, 357, 18713, 510, 31878, 273, 18998, 274, 25520, 276, 7511, 12255, 26175, 364, 30853, 4970, 495, 12255, 27818, 308, 16744, 7089, 24724, 25707, 28032, 489, 417, 28187, 277, 18998, 279, 421, 25693, 15159, 4970, 495, 12255, 8147, 12916, 484, 1691, 21251, 15159, 8147, 18713, 510, 20992, 14395, 481, 25060, 483, 12571, 360, 420, 368, 357, 18713, 510, 31878, 278, 12486, 476, 18263, 510, 418, 481, 363, 31968, 16043, 495, 10524, 361, 418, 488, 488, 272, 25051, 497, 417, 479, 504, 15159, 21588, 361, 22047, 4970, 495, 12255, 12486, 418, 365, 480, 418, 490, 487, 10524, 492, 16533, 493, 28996, 27962, 7511, 421, 350, 374, 31365, 7511, 21588, 361, 301, 14748, 4970, 495, 12255, 12486, 692, 26233, 507, 420, 371, 363, 16088, 454, 272, 18998, 16533, 484, 21588, 361, 22047, 4970, 495, 12255, 11858, 502, 28996, 22047, 8266, 454, 273, 18998, 18777, 378, 419, 360, 489, 4970, 487, 14748, 418, 490, 485, 421, 496, 486, 8147, 26166, 10254, 360, 23989, 419, 353, 374, 273, 8147, 274, 8147, 276, 7511, 12916, 491, 419, 377, 362, 454, 274, 18998, 21588, 361, 22047, 4970, 495, 12255, 265, 27818, 273, 267, 274, 267, 276, 24724, 13127, 490, 374, 31006, 16533, 493, 7511, 22047, 418, 498, 378, 28996, 21588, 361, 22047, 4970, 495, 12255, 12571, 492, 20001, 373, 8147, 23523, 359, 27064, 363, 454, 12163, 5035, 8827, 912, 825, 1219, 5192, 308, 16744, 10831, 318, 11405, 4311, 267, 4994, 2187, 1038, 952, 4994, 2999, 476, 272, 912, 2018, 2132, 476, 271, 454, 1038, 30299, 8266, 815, 1496, 272, 316, 1948, 476, 4970, 495, 12255, 454, 1038, 1948, 476, 273, 267, 274, 267, 276, 28098, 18021, 498, 7511, 418, 490, 485, 421, 496, 486, 454, 1038, 1079, 22437, 5793, 815, 476, 271, 454, 1038, 1614, 22437, 5793, 815, 476, 271, 454, 1038, 2947, 22437, 5793, 815, 476, 271, 28329, 1038, 1293, 815, 476, 272, 454, 1038, 1247, 1293, 11203, 4994, 912, 2018, 1948, 5903, 19404, 490, 21588, 361, 22047, 29219, 26166, 10254, 360, 18263, 502, 476, 273, 8147, 476, 274, 8147, 476, 276, 454, 2018, 1295, 19368, 815, 1295, 263, 273, 265, 1872, 569, 8266, 314, 18314, 22437, 5793, 3910, 476, 274, 265, 1872, 569, 8266, 314, 22764, 22437, 5793, 3910, 476, 276, 265, 1872, 569, 8266, 314, 325, 633, 22437, 5793, 7481, 2018, 30299, 8266, 6910, 263, 2381, 19368, 994, 2018, 1293, 6834, 476, 272, 454, 27030, 2018, 1948, 22614, 356, 375, 20693, 357, 4970, 487, 14748, 418, 490, 485, 421, 496, 486, 454, 2018, 952, 1295, 19368, 2652, 476, 273, 265, 1872, 569, 8266, 314, 18314, 22437, 5793, 14158, 3546, 1079, 22437, 5793, 6834, 476, 272, 454, 2018, 952, 1295, 19368, 2652, 476, 274, 265, 1872, 569, 8266, 314, 22764, 22437, 5793, 14158, 3546, 1614, 22437, 5793, 6834, 476, 272, 454, 2018, 952, 1295, 19368, 2652, 476, 476, 276, 265, 1872, 569, 8266, 314, 325, 633, 22437, 5793, 14158, 3546, 2947, 22437, 5793, 6834, 476, 272, 454, 1038, 2132, 30299, 8266, 314, 12248, 268, 272, 2639, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 11742, 825, 2433, 476, 1708, 271, 270, 273, 270, 275, 270, 21916, 476, 1556, 281, 2537, 454, 258, 7711, 12041, 476, 2433, 544, 1263, 577, 7776, 454, 258, 7711, 306, 924, 825, 2433, 3097, 258, 7711, 17572, 825, 2433, 5903, 318, 5141, 821, 18258, 454, 258, 7711, 25413, 2264, 281, 12877, 2419, 1301, 692, 12163, 30903, 502, 25203, 362, 16088, 14035, 491, 23521, 480, 421, 497, 378, 23989, 7511, 14035, 491, 10254, 370, 454, 27447, 24662, 22047, 14035, 491, 23521, 480, 421, 497, 378, 23989, 27818, 30006 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5885, 513, 1134, 28394, 2331, 543, 26945, 15451, 2146, 780, 290, 269, 28552, 9650, 995, 14856, 692, 21790, 6888, 3322, 9878, 2407, 3007, 547, 519, 1459, 4090, 1510, 10385, 269, 1879, 4294, 547, 4189, 5615, 267, 11009, 14122, 5260, 1681, 1142, 11116, 267, 11504, 547, 14000, 543, 2893, 328, 1214, 10291, 267, 543, 10893, 19240, 1282, 6980, 269, 22685, 1154, 513, 13533, 4189, 1935, 2636, 585, 1732, 7071, 540, 10366, 543, 18282, 267, 8992, 6712, 1852, 267, 543, 7512, 8902, 1426, 5079, 1765, 718, 540, 799, 18549, 4324, 519, 8937, 22435, 269, 3958, 267, 2016, 519, 6946, 4296, 1063, 2566, 267, 2790, 1072, 267, 543, 519, 8937, 22435, 267, 8026, 11009, 949, 2709, 606, 322, 16736, 5383, 3842, 2566, 5786, 543, 3929, 1582, 30625, 780, 291, 269, 3680, 532, 25095, 7821, 24269, 25792, 692, 4407, 11216, 2099, 1272, 22766, 5061, 602, 19117, 2413, 4915, 267, 789, 967, 4593, 3234, 514, 2299, 3077, 1312, 23633, 543, 862, 839, 531, 4551, 267, 3056, 547, 32097, 3441, 1369, 519, 8937, 22435, 269, 3683, 2224, 543, 21568, 540, 11216, 2417, 7623, 713, 1966, 267, 7700, 547, 519, 11944, 540, 15084, 15033, 12490, 543, 7988, 25027, 2829, 602, 2333, 18687, 547, 11763, 3676, 543, 5312, 2175, 269, 4475, 267, 8164, 2009, 267, 1904, 585, 4244, 9354, 4485, 602, 798, 711, 4125, 11216, 267, 543, 1246, 11311, 6030, 4140, 5534, 569, 547, 7413, 32677, 725, 547, 519, 8937, 22435, 780, 292, 269, 26875, 1944, 12619, 10866, 543, 10829, 640, 692, 19102, 2084, 569, 6444, 607, 513, 2565, 24572, 540, 2949, 1072, 267, 3207, 25340, 5222, 519, 8937, 22435, 269, 10374, 2989, 3207, 8653, 543, 4057, 3207, 2298, 723, 1044, 3254, 547, 16578, 5888, 531, 10593, 538, 519, 8937, 22435, 267, 10556, 15499, 11064, 8699, 267, 543, 32433, 11528, 1970, 17263, 6553, 1765, 718, 540, 799, 17736, 790, 547, 4463, 523, 4220, 585, 8377, 267, 3987, 267, 9025, 2068, 267, 543, 28146, 4713, 269, 1677, 16102, 707, 8937, 22435, 543, 28231, 519, 2404, 1072, 2640, 267, 2832, 585, 476, 278, 1700, 280, 3108, 540, 796, 5793, 32152, 3207, 829, 3781, 538, 513, 3579, 267, 4158, 267, 543, 9602, 1604, 780, 309, 269, 8892, 19648, 543, 12694, 692, 8601, 7415, 8441, 538, 938, 1620, 540, 519, 8937, 22435, 543, 922, 6286, 585, 1480, 1072, 267, 1896, 2591, 6414, 269, 5983, 2865, 1851, 891, 568, 519, 991, 585, 1804, 8397, 267, 1279, 3856, 6304, 8062, 602, 6218, 519, 12117, 543, 3106, 540, 2322, 894, 8937, 22435, 21524, 6819, 2994, 269, 6271, 10296, 6161, 25701, 547, 1367, 13260, 538, 3210, 547, 971, 7459, 1813, 547, 4719, 4282, 267, 27981, 2045, 12381, 267, 15977, 22435, 12122, 267, 543, 824, 13865, 2188, 269, 1306, 3173, 3136, 547, 20920, 609, 891, 2152, 267, 929, 644, 550, 2359, 540, 519, 8937, 22435, 3788, 12979, 1819, 538, 15984, 547, 2963, 2861, 7840, 10704, 1472, 27357, 6484, 267, 2834, 2168, 2534, 267, 2566, 5786, 267, 7850, 3207, 9882, 267, 543, 4140, 5534, 946, 540, 6527, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 519, 8937, 22435, 543, 875, 547, 1832, 621, 2635, 888, 763, 8937, 22435, 568, 519, 7583, 332, 1588, 540, 959, 650, 687, 540, 2048, 30471, 685, 610, 1018, 649, 1289, 17973, 267, 4481, 4551, 267, 13271, 267, 8290, 267, 543, 811, 267, 602, 2661, 538, 938, 9667, 8778, 269, 3767, 267, 3226, 1310, 513, 6855, 267, 621, 779, 2653, 547, 1831, 5409, 25700, 593, 9319, 17900, 269, 634, 5168, 568, 267, 9811, 930, 12961, 270, 3455, 916, 1058, 581, 14284, 855, 972, 616, 849, 959, 650, 687, 1175, 1369, 938, 9667, 1062, 4105, 547, 938, 6668, 543, 6099, 8647, 269, 11588, 540, 938, 8937, 17973, 1331, 5826, 540, 513, 2635, 4761, 1062, 267, 3207, 267, 543, 2949, 1072, 267, 607, 1134, 607, 7939, 540, 7099, 543, 11938, 540, 12536, 269, 5901, 538, 2247, 891, 2640, 2049, 609, 513, 2635, 610, 1134, 28394, 2331, 8937, 22435, 563, 3383, 875, 666, 649, 1489, 513, 2635, 8937, 22435, 888, 2026, 609, 12303, 782, 1072, 5796, 267, 621, 6238, 609, 519, 5079, 649, 1118, 269, 1548, 616, 649, 8380, 538, 543, 593, 938, 4703, 286, 24439, 2631, 602, 1018, 649, 3548, 666, 5818, 610, 27298, 938, 1072, 950, 649, 8275, 621, 4667, 547, 782, 2097, 1394, 547, 2436, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 583, 5843, 6798, 727, 5004, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 31701, 14423, 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, 4985, 1384, 1103, 938, 5051, 3059, 1158, 267, 5807, 5876, 543, 3946, 6823, 1983, 1851, 1453, 814, 1831, 811, 1271, 982, 2479, 269, 4258, 1087, 267, 513, 5929, 4604, 3014, 602, 814, 1044, 10150, 676, 5481, 267, 3091, 513, 2189, 4316, 547, 4497, 1762, 8186, 538, 7580, 3206, 543, 1966, 6061, 1247, 849, 3246, 3255, 585, 7499, 4082, 998, 2870, 1688, 8154, 539, 21802, 5036, 269, 769, 713, 1770, 267, 649, 786, 2263, 875, 3450, 21802, 547, 3214, 998, 11308, 21802, 1305, 5137, 666, 6536, 5042, 1646, 267, 5876, 267, 543, 513, 2631, 540, 9740, 269, 1284, 786, 5490, 883, 1585, 3344, 540, 8888, 543, 2679, 513, 16419, 21802, 1305, 267, 1519, 8939, 18137, 267, 7206, 543, 7718, 908, 4773, 267, 543, 7311, 2596, 22386, 2553, 269, 1635, 9256, 2757, 1702, 609, 2413, 3156, 267, 713, 1935, 7512, 15834, 1565, 543, 8992, 2825, 19642, 998, 3743, 1570, 5542, 543, 3653, 5786, 780, 4089, 476, 272, 281, 15465, 4886, 3414, 4258, 1087, 692, 5522, 11691, 21802, 2488, 3875, 2640, 585, 1453, 781, 2790, 2208, 267, 3226, 538, 2127, 971, 607, 3965, 12802, 267, 5834, 267, 2565, 3206, 267, 543, 3375, 6194, 5759, 630, 294, 984, 564, 1299, 8805, 527, 22088, 267, 476, 1220, 276, 1040, 5047, 267, 1382, 5267, 602, 2502, 1053, 538, 519, 1374, 543, 4070, 1184, 2417, 10597, 891, 5383, 269, 14958, 532, 513, 10531, 21802, 4580, 543, 4773, 2636, 6267, 547, 4019, 6310, 3741, 899, 6482, 267, 4806, 6284, 267, 543, 8901, 7744, 1247, 8195, 3384, 5386, 5179, 1983, 2838, 585, 4977, 10198, 269, 3958, 267, 5473, 6107, 538, 519, 4058, 5933, 5252, 919, 10721, 5759, 543, 3804, 4259, 267, 799, 616, 1898, 3334, 540, 3811, 4081, 2773, 630, 305, 657, 1157, 320, 1696, 620, 1421, 476, 1001, 275, 6393, 4089, 476, 273, 281, 3203, 2065, 20309, 543, 11426, 1436, 692, 3080, 1713, 5413, 540, 14335, 513, 29586, 21802, 1305, 568, 519, 1761, 585, 1367, 4082, 269, 4841, 666, 3442, 4798, 1759, 593, 2123, 4690, 267, 2686, 10080, 267, 610, 5172, 2984, 267, 3850, 873, 547, 1711, 6209, 4296, 1063, 519, 3014, 543, 741, 1378, 2729, 269, 5015, 267, 6220, 1148, 2609, 899, 2681, 3069, 267, 1106, 267, 543, 5888, 1282, 519, 7206, 5123, 6087, 6267, 547, 2259, 3308, 2792, 1983, 543, 4603, 609, 1114, 6163, 269, 901, 1377, 540, 6278, 711, 1152, 4679, 8404, 543, 18399, 855, 849, 16881, 4514, 1620, 543, 7071, 540, 1312, 519, 3140, 4644, 543, 4207, 10083, 540, 21802, 780, 4089, 476, 274, 281, 9978, 8381, 11529, 9828, 692, 22826, 4909, 22386, 2409, 3029, 606, 7533, 851, 540, 713, 1770, 267, 4180, 5171, 10536, 4052, 1983, 7258, 7811, 1702, 269, 6206, 3157, 1331, 5969, 267, 5070, 532, 267, 1350, 5224, 267, 28728, 532, 267, 543, 18138, 269, 3962, 1900, 3340, 6297, 3007, 547, 1469, 267, 8716, 9639, 543, 8856, 1247, 5009, 1582, 21873, 543, 7115, 269, 1677, 2327, 2922, 2853, 267, 2937, 15569, 543, 1697, 6165, 540, 8825, 10591, 1590, 2141, 581, 24451, 269, 1306, 1053, 3356, 998, 519, 1628, 267, 789, 786, 2744, 513, 3152, 1620, 540, 2326, 543, 1907, 10342, 267, 22338, 519, 1259, 585, 2104, 29293, 538, 15790, 18782, 610, 824, 21753, 4610, 780, 4089, 476, 275, 281, 7025, 19731, 13734, 543, 12655, 5071, 692, 2026, 5018, 4505, 267, 10128, 4264, 3741, 883, 519, 6437, 7028, 2825, 5539, 543, 12651, 4656, 827, 4199, 2359, 269, 18964, 1053, 547, 2015, 4244, 2959, 585, 6151, 2326, 267, 971, 607, 556, 13094, 29421, 610, 12725, 21433, 3574, 267, 6971, 3327, 29066, 2404, 609, 6283, 543, 5663, 269, 6684, 267, 7598, 3608, 2504, 2994, 24024, 3653, 5108, 543, 8992, 5726, 3646, 269, 1452, 4245, 8831, 3564, 519, 4928, 267, 16779, 6107, 547, 1118, 5483, 3664, 3823, 4616, 6208, 543, 3565, 9797, 547, 2518, 6940, 7341, 780, 6962, 1384, 3528, 9256, 21802, 6044, 609, 3946, 6823, 22386, 2833, 267, 7855, 666, 1683, 15491, 1565, 3255, 602, 8597, 547, 3309, 1565, 6163, 543, 3895, 11455, 1646, 269, 12056, 1053, 538, 519, 5137, 540, 10531, 21802, 5036, 711, 1152, 10240, 9094, 5042, 1599, 543, 7499, 13007, 855, 849, 1128, 1571, 513, 2631, 540, 11348, 543, 22920, 6508, 689, 15889, 10781, 269, 5015, 267, 10771, 10357, 7888, 4485, 19156, 519, 2956, 540, 2825, 19642, 543, 28382, 6267, 609, 1898, 1272, 1983, 10858, 2066, 1585, 10459, 269, 11086, 267, 713, 5499, 24099, 4640, 11942, 1134, 25454, 2043, 5423, 585, 1967, 538, 2221, 781, 6385, 4657, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7197, 3237, 1616, 547, 7485, 741, 3214, 1055, 741, 19503, 6758, 267, 19503, 16104, 267, 610, 7641, 338, 543, 883, 3407, 2238, 563, 19013, 267, 22386, 568, 835, 540, 519, 4241, 12348, 547, 4001, 707, 3214, 1210, 3574, 4062, 610, 3574, 21100, 563, 9359, 609, 835, 540, 1082, 3860, 22386, 3785, 585, 3214, 547, 3673, 3729, 873, 563, 24841, 11529, 568, 1390, 1317, 3214, 666, 798, 621, 2336, 4668, 292, 302, 281, 16797, 543, 14168, 8381, 18768, 1280, 8866, 454, 3963, 17546, 8866, 27065, 543, 19793, 22777, 888, 290, 2761, 532, 786, 2285, 1453, 513, 2631, 540, 22920, 543, 581, 865, 14785, 789, 4465, 1406, 16718, 563, 24841, 11529, 1544, 568, 513, 1187, 1788, 17320, 805, 1788, 267, 3872, 267, 543, 5363, 2534, 585, 4079, 563, 4913, 267, 3574, 1740, 568, 1390, 585, 519, 2898, 1920, 267, 2523, 519, 19920, 563, 2791, 1616, 3214, 547, 1745, 10583, 1310, 1818, 1919, 1317, 789, 2648, 621, 563, 2005, 949, 3100, 5906, 585, 519, 3214, 267, 855, 607, 1279, 607, 596, 6895, 267, 621, 786, 581, 19278, 269, 16296, 3106, 3937, 10970, 28179, 971, 4145, 563, 24841, 4739, 568, 16180, 1317, 596, 3132, 1919, 596, 666, 946, 543, 1397, 1055, 585, 1296, 563, 2791, 991, 547, 555, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10267, 1087, 585, 8866, 257, 607, 851, 540, 834, 16300, 13493, 1315, 10632, 1299, 11242, 1315, 8274, 10632, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10460, 513, 3463, 547, 519, 1977, 1379, 570, 12460, 2012, 281, 12253, 681, 3907, 564, 4595, 519, 2038, 5933, 540, 519, 476, 3707, 271, 3013, 814, 24111, 547, 1379, 543, 18423, 538, 1379, 269, 1677, 4266, 3013, 568, 2808, 519, 1152, 3020, 1158, 2706, 1379, 269, 769, 519, 2250, 519, 4936, 7276, 267, 5259, 543, 12266, 941, 782, 1360, 2531, 3215, 855, 1256, 1287, 972, 941, 4101, 15913, 865, 789, 666, 1406, 581, 1572, 513, 2048, 27273, 1379, 9957, 769, 2221, 779, 2486, 519, 1158, 814, 1079, 811, 11615, 16550, 741, 1259, 547, 519, 1283, 267, 891, 1079, 11615, 616, 3624, 779, 543, 3127, 779, 269, 634, 2243, 1373, 12943, 538, 713, 1557, 568, 281, 2048, 323, 3996, 519, 4473, 540, 3384, 2477, 899, 3624, 543, 3127, 10460, 513, 3978, 4161, 547, 2475, 1379, 286, 685, 594, 2560, 19651, 811, 1543, 7498, 19328, 568, 2810, 922, 2182, 1379, 15186, 543, 952, 789, 2253, 547, 2333, 741, 2571, 1379, 3403, 789, 1131, 581, 513, 1483, 3196, 547, 581, 22672, 19861, 609, 269, 1703, 616, 1079, 2010, 540, 7060, 547, 606, 4346, 922, 2048, 14551, 1379, 685, 543, 621, 779, 2048, 7809, 1379, 9957, 10434, 533, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 7073, 1315, 476, 2641, 560, 11416, 1315, 22547, 540, 3624, 607, 513, 6820, 5295, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 19484, 10076, 2657, 543, 25682, 538, 4653, 781, 8535, 12752, 692, 7072, 692, 1103, 2221, 781, 3728, 19550, 2575, 2872, 267, 5159, 3068, 3875, 2591, 602, 666, 1764, 741, 2790, 1072, 543, 2949, 8171, 269, 3245, 5883, 18083, 543, 4509, 3347, 547, 7231, 609, 9880, 543, 3860, 7161, 267, 12372, 1590, 6330, 1585, 9465, 1247, 13197, 741, 4739, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 891, 2152, 543, 2263, 2994, 585, 5009, 2790, 1072, 543, 6043, 1851, 1762, 2937, 12372, 269, 1284, 786, 2721, 4296, 1063, 7811, 10850, 543, 4052, 3156, 267, 3246, 3988, 609, 29829, 4030, 789, 666, 946, 547, 3986, 741, 1378, 7499, 15322, 780, 4089, 476, 272, 281, 4197, 13262, 832, 538, 519, 7073, 8535, 23721, 692, 2690, 14971, 12372, 267, 10024, 519, 2872, 1419, 3322, 10188, 1950, 1514, 5121, 543, 15268, 547, 1007, 5054, 269, 1452, 13289, 949, 4125, 882, 20814, 547, 4683, 7740, 899, 11968, 13353, 610, 1715, 3840, 4975, 267, 1141, 6735, 568, 18979, 543, 2200, 616, 17077, 269, 1306, 513, 1267, 267, 1762, 22407, 949, 7237, 2189, 21500, 602, 1860, 1312, 741, 5626, 543, 3929, 1134, 5630, 269, 2368, 1455, 21500, 5185, 676, 6932, 5159, 1331, 1384, 265, 11038, 16132, 281, 3509, 12372, 6560, 547, 1118, 7475, 2743, 1813, 547, 1970, 13848, 267, 22522, 4747, 12535, 267, 543, 1164, 2713, 9276, 2404, 609, 2101, 23195, 2127, 563, 265, 1772, 15684, 543, 20420, 281, 6736, 2324, 5702, 609, 824, 4648, 630, 324, 3052, 1421, 12696, 267, 9946, 267, 3092, 13776, 12372, 949, 1745, 30890, 689, 2828, 543, 1920, 2818, 945, 798, 711, 2671, 2147, 4690, 610, 4876, 17050, 563, 265, 11300, 25794, 281, 4236, 31227, 2789, 3785, 8195, 666, 1291, 547, 25874, 543, 8519, 8404, 267, 1818, 621, 2352, 585, 5159, 547, 2226, 11610, 543, 3132, 2298, 960, 9846, 780, 2414, 1732, 1174, 875, 891, 2188, 3565, 547, 2790, 11605, 267, 1577, 721, 2015, 519, 1739, 2013, 1353, 1384, 19111, 5530, 281, 8861, 910, 1323, 24021, 1473, 773, 7377, 30310, 692, 27880, 5063, 6410, 547, 11968, 13353, 1310, 4271, 908, 689, 513, 20380, 11122, 2218, 1982, 269, 4014, 1352, 814, 2141, 26927, 3139, 540, 4742, 513, 3811, 22256, 1606, 784, 23116, 267, 1352, 3533, 25395, 602, 8840, 883, 519, 8013, 15829, 2575, 6429, 568, 1100, 2653, 9028, 269, 1677, 2628, 1200, 10519, 543, 3382, 2596, 2713, 9276, 267, 8861, 3217, 593, 1896, 851, 6066, 6009, 267, 6028, 2370, 942, 585, 1603, 543, 10916, 3312, 1570, 269, 3683, 342, 3559, 4364, 676, 2883, 12503, 543, 10010, 547, 1921, 609, 1761, 3523, 2209, 267, 8861, 5956, 7680, 2589, 540, 4160, 543, 4965, 780, 30206, 5999, 1384, 272, 269, 1215, 1522, 8861, 781, 2833, 581, 22566, 540, 6626, 3270, 1369, 519, 2413, 2575, 5251, 888, 273, 269, 1548, 3606, 2188, 1223, 3565, 547, 8861, 781, 4606, 540, 10072, 543, 25794, 2496, 4089, 476, 273, 281, 8490, 26504, 3414, 8682, 4211, 732, 13756, 692, 4407, 5007, 21500, 1404, 513, 1713, 1909, 538, 5935, 12372, 262, 2790, 1072, 4093, 267, 4835, 12003, 6127, 849, 15549, 7156, 269, 1635, 7598, 1582, 13282, 2853, 2966, 547, 3895, 11005, 267, 8086, 267, 543, 2123, 2208, 267, 5159, 666, 11349, 30840, 543, 11574, 519, 2942, 2360, 540, 5312, 2566, 269, 30318, 2994, 585, 7393, 2790, 1134, 5630, 1331, 1384, 265, 24238, 9066, 281, 8617, 2259, 540, 11009, 2553, 27137, 607, 2620, 7244, 5751, 610, 11636, 4887, 11005, 1765, 4754, 948, 2569, 4160, 2157, 543, 2087, 1445, 267, 7175, 5159, 547, 3251, 16135, 9624, 26093, 16131, 543, 13346, 14422, 563, 265, 8447, 3635, 281, 12056, 538, 2834, 2168, 2534, 13847, 1439, 6973, 1231, 602, 5818, 7099, 543, 1648, 2157, 267, 4543, 25559, 519, 25161, 2470, 540, 18638, 960, 543, 2773, 7041, 563, 265, 4317, 1489, 5121, 281, 15043, 2178, 14375, 7554, 609, 8284, 12372, 267, 23003, 267, 543, 6068, 3283, 11942, 513, 2631, 540, 10362, 543, 4276, 267, 799, 568, 2629, 585, 8396, 1154, 4606, 540, 10072, 543, 32238, 780, 4131, 721, 30603, 8861, 781, 1650, 547, 1294, 875, 6220, 891, 2994, 1522, 4324, 1200, 2790, 1072, 3460, 1384, 19111, 5530, 8033, 4240, 281, 8861, 781, 10003, 547, 18401, 692, 28403, 1944, 602, 1945, 2115, 547, 1689, 267, 8861, 16976, 547, 3343, 3318, 5583, 689, 513, 13309, 21751, 538, 7376, 1134, 5630, 269, 8625, 267, 789, 2697, 1896, 1883, 2127, 585, 6454, 281, 9591, 5812, 3207, 13467, 267, 4259, 11735, 6131, 942, 585, 3860, 4082, 267, 543, 2502, 538, 2834, 3635, 269, 2060, 1200, 13309, 781, 19015, 267, 8861, 26082, 513, 2199, 10649, 18638, 543, 1140, 1742, 12353, 1895, 7886, 5059, 593, 11009, 9066, 269, 2701, 849, 10301, 856, 547, 5449, 15032, 543, 9164, 267, 12180, 10865, 2743, 5725, 585, 23730, 2093, 543, 4687, 2200, 269, 3683, 942, 267, 891, 1507, 2242, 2253, 547, 18645, 267, 3056, 547, 18476, 9283, 538, 8861, 781, 2949, 1134, 5630, 780, 30206, 5999, 1384, 272, 269, 1215, 1522, 6220, 11009, 2853, 267, 2168, 3635, 267, 543, 1514, 1489, 5121, 3310, 8861, 781, 2702, 547, 11883, 609, 5571, 21500, 888, 273, 269, 2052, 596, 1589, 540, 1022, 3606, 1582, 13282, 2994, 602, 1522, 581, 6225, 585, 8861, 610, 824, 6932, 5159, 6849, 2147, 2591, 2496, 6962, 692, 32382, 2790, 1072, 543, 9716, 538, 2221, 781, 2575, 2872, 3340, 513, 15491, 1935, 602, 9607, 1312, 5007, 21500, 543, 4835, 12003, 6127, 269, 1635, 3384, 4656, 1472, 1455, 2591, 5185, 676, 14971, 12372, 543, 7598, 2963, 2861, 1582, 13282, 2853, 267, 5159, 666, 1628, 6043, 543, 6536, 1279, 3856, 1967, 269, 11086, 267, 26724, 2790, 1072, 5713, 711, 1152, 1367, 1134, 5630, 855, 849, 8309, 547, 513, 811, 7524, 543, 4264, 7574, 2146, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 4444, 2843, 508, 4736, 4709, 13833, 9924, 476, 16021, 18775, 4138, 4138, 15800, 476, 13077, 4736, 10948, 20046, 3522, 25602, 8563, 4344, 21134, 29652, 4138, 6459, 3264, 13953, 476, 271, 540, 519, 4295, 326, 4327, 595, 275, 521, 1176, 331, 540, 519, 2518, 4874, 2135, 2210, 531, 919, 13939, 2404, 547, 1202, 3634, 4898, 2685, 16453, 6070, 267, 15018, 19549, 547, 331, 8117, 29524, 1210, 513, 1768, 572, 6032, 269, 540, 7840, 263, 595, 267, 744, 267, 715, 267, 543, 590, 1040, 4457, 11219, 16067, 6361, 268, 16391, 545, 4211, 13511, 268, 1001, 274, 268, 29876, 268, 14689, 274, 269, 901, 4444, 2843, 508, 4736, 4709, 13833, 9924, 476, 16021, 18775, 4138, 4138, 15800, 476, 13077, 4736, 10948, 20046, 3522, 2488, 606, 26968, 762, 476, 272, 267, 273, 3060, 9754, 543, 971, 715, 301, 22285, 6427, 4369, 269, 898, 568, 1808, 4444, 2843, 508, 4736, 4709, 13833, 9924, 540, 519, 2257, 6990, 547, 5094, 476, 274, 24670, 674, 636, 517, 529, 1231, 269, 476, 2568, 4444, 2843, 508, 4736, 4709, 13833, 9924, 476, 16021, 18775, 4138, 4138, 15800, 476, 13077, 4736, 10948, 20046, 3522, 585, 1142, 4187, 1070, 562, 4869, 600, 531, 1242, 8711, 798, 1160, 12723, 585, 519, 2500, 4220, 782, 28003, 540, 7681, 11356, 269, 589, 1082, 267, 14275, 267, 5440, 4444, 2843, 508, 4736, 4709, 13833, 9924, 476, 16021, 18775, 4138, 4138, 585, 3541, 1516, 2835, 2901, 689, 2550, 543, 2318, 7510, 337, 1503, 26593, 1110, 12885, 2854, 269, 634, 4444, 2843, 508, 4736, 4709, 13833, 9924, 476, 16021, 18775, 4138, 4138, 15800, 476, 13077, 4736, 10948, 20046, 3522, 18203, 3842, 513, 2208, 1377, 1044, 676, 7464, 19923, 296, 267, 15149, 267, 543, 570, 4932, 17269, 538, 519, 803, 710, 540, 744, 273, 269, 634, 4444, 2843, 508, 4736, 4709, 13833, 9924, 6032, 269, 21269, 19706, 27102, 7388, 730, 2386, 3444, 543, 476, 1220, 274, 264, 25387, 6042, 269, 901, 4444, 2843, 508, 4736, 4709, 13833, 9924, 546, 13741, 1194, 519, 606, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 8535, 1315, 4937, 1315, 10076, 2657, 543, 25682, 538, 8535, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 12474, 20520, 13088, 585, 15283, 270, 2752, 538, 19766, 21585, 1315, 14044, 1299, 4119, 7757, 18712, 692, 276, 269, 272, 4985, 692, 1103, 2221, 781, 6385, 9687, 6639, 5251, 267, 5691, 4641, 630, 23623, 264, 543, 21284, 4641, 630, 2752, 264, 723, 7153, 607, 3532, 2645, 5827, 540, 28196, 1456, 1585, 6080, 267, 1519, 2069, 269, 1306, 5941, 538, 519, 3105, 3184, 267, 8121, 1449, 11400, 616, 4657, 519, 1259, 1053, 1451, 543, 4497, 609, 4081, 1570, 676, 3246, 606, 7317, 543, 15138, 1995, 269, 1677, 1711, 8903, 3872, 2833, 1210, 8121, 543, 15283, 267, 1543, 15888, 2154, 7463, 2645, 2966, 4481, 585, 891, 5867, 269, 901, 3184, 12538, 883, 930, 540, 519, 1034, 7986, 1543, 5137, 2645, 2139, 585, 15283, 543, 8121, 3156, 267, 10223, 741, 2934, 267, 9342, 267, 543, 7687, 269, 3958, 267, 649, 786, 1865, 1655, 2853, 585, 2870, 2500, 1565, 2326, 9001, 891, 5499, 4066, 780, 276, 269, 273, 4197, 15283, 543, 8121, 12474, 4886, 15107, 13257, 692, 17730, 1543, 585, 15283, 543, 8121, 3340, 7463, 3301, 3435, 3358, 547, 6023, 2189, 2591, 2404, 609, 8888, 15138, 5054, 543, 10128, 873, 16900, 609, 1483, 8996, 2609, 269, 1452, 1646, 5867, 1683, 4589, 609, 7347, 2645, 1115, 7175, 873, 547, 1628, 9159, 2833, 602, 8597, 547, 3309, 1565, 6859, 1247, 4180, 3593, 10333, 543, 13784, 269, 2368, 1883, 9270, 950, 8939, 3617, 1543, 5137, 2645, 1331, 8897, 540, 946, 267, 17356, 2066, 3457, 267, 25382, 267, 5698, 7207, 267, 543, 1489, 585, 19180, 7221, 780, 276, 269, 274, 31838, 12474, 20520, 13088, 585, 15283, 270, 2752, 10241, 692, 15703, 8037, 1543, 5137, 2645, 20441, 519, 2344, 585, 3384, 15138, 3872, 2833, 538, 15283, 543, 8121, 5468, 269, 7324, 891, 616, 30767, 267, 1133, 9418, 5422, 267, 589, 6363, 9347, 267, 966, 340, 1721, 807, 267, 22816, 3363, 267, 543, 8121, 290, 648, 269, 3962, 3760, 3091, 3982, 5383, 4470, 2390, 1788, 4170, 267, 6791, 2157, 267, 543, 5551, 4093, 269, 634, 1739, 6810, 1683, 606, 7650, 540, 1142, 1907, 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 ]
[ 3038, 6327, 281, 634, 4323, 7518, 1080, 519, 2067, 1480, 12402, 540, 7279, 543, 26846, 998, 7301, 14767, 269, 898, 5631, 3568, 930, 1106, 540, 2168, 2923, 547, 10141, 18453, 267, 971, 607, 513, 18292, 5397, 563, 268, 2480, 732, 2264, 2934, 10514, 731, 519, 6408, 609, 7301, 32302, 543, 535, 1112, 25875, 6937, 267, 4929, 873, 547, 3888, 17351, 3301, 610, 7866, 4357, 1344, 563, 12892, 4702, 6285, 723, 1044, 1472, 585, 3833, 930, 942, 543, 607, 891, 6285, 960, 547, 17908, 1480, 12755, 267, 789, 949, 711, 3247, 20471, 4166, 563, 273, 269, 6355, 19478, 3281, 668, 1047, 454, 19968, 19478, 3281, 668, 1047, 610, 645, 4488, 6285, 4125, 513, 3463, 17076, 28892, 883, 513, 9746, 4757, 2272, 543, 1219, 571, 24851, 824, 5520, 543, 2818, 540, 519, 2754, 547, 1683, 519, 3463, 17076, 609, 2724, 610, 6213, 1344, 269, 634, 23940, 17076, 791, 3205, 919, 513, 9972, 4759, 540, 519, 2754, 609, 6392, 936, 18083, 267, 1702, 267, 543, 1896, 824, 5520, 269, 1452, 6285, 616, 849, 1634, 607, 968, 2006, 2987, 7308, 17733, 892, 6285, 267, 513, 2165, 6508, 689, 519, 968, 2006, 2987, 7308, 2173, 1497, 892, 4323, 269, 2368, 540, 519, 1034, 1455, 3029, 540, 513, 645, 4488, 1085, 600, 616, 607, 5205, 912, 268, 17793, 644, 12040, 536, 3739, 1085, 600, 281, 898, 568, 950, 519, 3463, 17076, 3096, 513, 19847, 1870, 4757, 547, 6494, 606, 1045, 4069, 547, 5561, 543, 5561, 267, 31392, 11033, 547, 979, 547, 519, 3463, 17076, 779, 2272, 563, 268, 674, 820, 4521, 9807, 2480, 600, 281, 1879, 513, 3463, 17076, 554, 2931, 883, 513, 15818, 779, 4757, 2272, 543, 15737, 7218, 547, 6494, 8216, 11033, 563, 268, 674, 820, 645, 1601, 2480, 600, 281, 589, 3463, 17076, 554, 2931, 883, 519, 2272, 540, 519, 16628, 610, 2754, 3401, 543, 4051, 338, 5520, 547, 2712, 326, 1836, 6494, 2724, 547, 513, 30081, 2272, 563, 4407, 1034, 9746, 4757, 6285, 4125, 27560, 2724, 267, 891, 6285, 616, 849, 1419, 1031, 547, 21102, 623, 2862, 267, 4123, 11580, 267, 610, 824, 6213, 1344, 563, 274, 269, 5274, 18438, 538, 15536, 9798, 454, 2005, 568, 711, 1152, 1480, 15129, 6880, 6285, 602, 616, 2810, 269, 5274, 5470, 568, 1776, 2810, 2014, 540, 1239, 23563, 543, 14590, 2042, 269, 1323, 22126, 1353, 2982, 602, 1480, 5470, 568, 519, 3056, 2014, 540, 476, 4817, 260, 540, 1344, 3354, 23563, 269, 6182, 5896, 267, 891, 1480, 6959, 616, 16662, 30102, 3527, 267, 1419, 1813, 547, 513, 3668, 540, 1702, 267, 855, 789, 723, 513, 21472, 1764, 593, 513, 2754, 779, 14590, 5989, 563, 14549, 6959, 538, 519, 6880, 2486, 616, 711, 3908, 547, 835, 1880, 2962, 282, 2864, 267, 621, 13315, 1114, 2238, 538, 799, 1142, 2962, 814, 513, 2864, 25680, 1198, 593, 14590, 269, 2368, 540, 519, 1034, 1455, 1806, 540, 1480, 5470, 538, 14590, 1331, 912, 268, 700, 3151, 610, 700, 3151, 10426, 6919, 454, 268, 769, 30541, 1836, 23842, 17351, 27589, 454, 268, 4635, 1857, 15261, 19712, 547, 1569, 2754, 1344, 454, 268, 12096, 532, 6408, 547, 513, 1514, 4702, 8671, 545, 454, 268, 2274, 3058, 1271, 1344, 796, 31695, 543, 796, 3430, 2105, 563, 22746, 9073, 616, 19890, 1455, 538, 519, 2413, 1870, 1158, 269, 1358, 616, 1419, 1813, 547, 513, 3668, 540, 4656, 269, 4107, 540, 519, 942, 267, 5520, 3112, 5431, 952, 789, 616, 9601, 540, 513, 1514, 4702, 4323, 610, 616, 827, 547, 4647, 513, 17351, 13613, 267, 5631, 1317, 789, 798, 711, 917, 1018, 713, 1085, 600, 5654, 899, 269, 4033, 2053, 267, 621, 568, 6071, 1416, 16531, 827, 1239, 4393, 610, 7340, 6888, 602, 7518, 1080, 513, 3463, 17076, 563, 1692, 798, 596, 2569, 519, 1480, 3815, 538, 14590, 888, 763, 2413, 3463, 5251, 3340, 7231, 609, 14590, 998, 513, 11455, 1935, 269, 898, 10522, 7598, 519, 946, 540, 3060, 3354, 3301, 543, 9301, 519, 1480, 2065, 2460, 540, 14590, 269, 1306, 519, 1480, 3815, 1369, 14590, 3587, 5051, 1271, 267, 519, 1739, 2409, 616, 4922, 2808, 547, 2936, 513, 1480, 2065, 1935, 547, 14590, 912, 272, 269, 3447, 908, 543, 10825, 14590, 4656, 1851, 5520, 454, 14807, 908, 543, 10825, 4656, 3823, 519, 2810, 14590, 2152, 543, 2152, 666, 948, 513, 1870, 538, 519, 1279, 2196, 269, 5221, 5520, 917, 875, 547, 5544, 1455, 26122, 6285, 610, 519, 2995, 339, 1446, 4191, 540, 513, 18453, 4323, 267, 789, 666, 11574, 873, 610, 10332, 519, 3354, 2319, 693, 519, 1318, 942, 269, 769, 1840, 267, 10825, 1702, 543, 4656, 827, 14590, 2853, 666, 3648, 2569, 519, 1297, 540, 4503, 18538, 543, 19847, 22754, 563, 273, 269, 25956, 513, 3354, 3609, 454, 288, 3354, 3609, 666, 948, 3648, 2569, 14590, 4220, 543, 2152, 269, 634, 3609, 1058, 4766, 519, 1898, 2409, 543, 2081, 5520, 1058, 6023, 2565, 1239, 267, 971, 607, 8260, 908, 513, 19504, 950, 2324, 20716, 610, 7863, 6589, 609, 3818, 29969, 17452, 269, 634, 3919, 1590, 5781, 2689, 543, 2689, 891, 3652, 547, 2327, 789, 616, 909, 3562, 15082, 609, 519, 2810, 14590, 2152, 543, 6937, 563, 274, 269, 3629, 1569, 1852, 454, 17556, 2718, 1239, 543, 18083, 568, 519, 2601, 513, 6880, 4323, 3217, 1747, 267, 799, 568, 1946, 1312, 7221, 1590, 581, 5402, 6870, 269, 7457, 547, 6213, 1239, 543, 18083, 1590, 581, 5702, 16913, 543, 1152, 17101, 7606, 1058, 723, 1569, 547, 873, 269, 8307, 513, 19625, 540, 1004, 945, 723, 1569, 547, 971, 2565, 2609, 666, 3648, 948, 2569, 1239, 21556, 2152, 563, 2005, 568, 9247, 3020, 602, 3425, 616, 1419, 2808, 547, 581, 835, 540, 519, 4617, 652, 6402, 538, 519, 14590, 5832, 269, 1717, 267, 952, 649, 960, 547, 9004, 602, 8467, 267, 649, 666, 2327, 513, 7347, 543, 6880, 5498, 10810, 1604, 1369, 938, 13646, 269, 20876, 519, 1480, 2065, 14590, 2591, 543, 5466, 873, 9935, 568, 2565, 547, 8236, 602, 14590, 269, 0, 763, 10513, 13336, 666, 543, 1281, 26544, 538, 1931, 547, 4217, 4168, 12206, 547, 798, 741, 960, 811, 3927, 269, 2696, 1281, 711, 2503, 4168, 12206, 547, 581, 9631, 23036, 2615, 269, 1261, 17358, 602, 789, 991, 6351, 538, 1931, 547, 798, 741, 960, 5132, 2685, 269, 634, 1480, 626, 14787, 814, 1100, 5132, 538, 971, 513, 10531, 2707, 540, 5168, 269, 901, 814, 2141, 1044, 3020, 540, 1480, 626, 12206, 269, 18190, 16380, 5156, 538, 5634, 2820, 514, 885, 1634, 607, 519, 1660, 525, 269, 2290, 540, 519, 1660, 525, 729, 3965, 269, 1809, 519, 1660, 525, 16876, 2933, 547, 6965, 269, 1358, 941, 540, 1100, 6351, 547, 1131, 15515, 12206, 269, 2334, 568, 1946, 972, 941, 865, 1906, 12206, 538, 8106, 10255, 269, 26023, 267, 972, 941, 1152, 1079, 540, 4063, 281, 4173, 617, 582, 639, 543, 774, 1075, 11770, 1938, 269, 5274, 2065, 12206, 723, 1279, 9833, 873, 607, 519, 5169, 2209, 540, 2351, 25086, 269, 2334, 568, 1317, 789, 798, 711, 1491, 15584, 543, 519, 28556, 12517, 269, 15584, 543, 519, 28556, 4300, 4705, 547, 2696, 607, 519, 2707, 540, 3965, 269, 4173, 617, 582, 639, 543, 774, 1075, 11770, 1938, 1705, 711, 7868, 19978, 12856, 540, 3778, 281, 10390, 547, 3487, 476, 274, 454, 2005, 568, 547, 581, 4397, 602, 19372, 618, 5274, 1235, 2543, 4173, 617, 582, 639, 543, 774, 1075, 11770, 1938, 607, 519, 4589, 540, 1686, 281, 789, 723, 513, 9602, 855, 5642, 11546, 788, 733, 3319, 585, 1346, 945, 3180, 2696, 547, 581, 519, 11905, 540, 18266, 267, 1310, 782, 563, 13731, 2103, 616, 711, 547, 1246, 538, 519, 2081, 540, 519, 14763, 540, 2696, 269, 0, 1692, 547, 29895, 606, 19478, 17372, 1299, 13363, 23126, 18830, 1975, 600, 2506, 5661, 888, 1692, 547, 29895, 606, 19478, 17372, 888, 272, 269, 6744, 519, 30699, 779, 2012, 593, 1022, 15737, 602, 3100, 1932, 1434, 547, 581, 3020, 610, 602, 616, 2786, 5346, 838, 20632, 269, 1403, 621, 779, 513, 2754, 585, 7247, 596, 4076, 2760, 9896, 909, 267, 1287, 972, 779, 513, 4960, 621, 3357, 689, 873, 630, 324, 3052, 1421, 968, 298, 622, 1975, 1228, 892, 568, 4440, 711, 3478, 741, 9623, 689, 707, 4757, 1040, 1809, 952, 621, 5526, 607, 575, 756, 828, 880, 899, 968, 314, 16942, 6870, 316, 892, 610, 968, 314, 16942, 6870, 316, 2223, 1287, 519, 4757, 568, 811, 982, 2693, 16995, 563, 273, 269, 6744, 519, 1641, 1899, 540, 1022, 15737, 602, 3280, 11516, 16408, 269, 1403, 621, 779, 1945, 899, 968, 16591, 3377, 892, 610, 968, 20365, 2272, 814, 1044, 632, 716, 17300, 2223, 621, 779, 2693, 513, 11307, 4757, 689, 513, 2754, 596, 4076, 2944, 1870, 609, 269, 1717, 952, 621, 2882, 2453, 899, 267, 968, 11847, 569, 1369, 476, 4366, 3108, 610, 3116, 2507, 2223, 1287, 621, 779, 2693, 28417, 11652, 949, 2014, 707, 2272, 547, 581, 19847, 538, 930, 1259, 1524, 519, 1899, 563, 274, 269, 6733, 585, 19035, 10259, 543, 8239, 538, 2489, 630, 324, 3052, 1421, 968, 328, 2648, 596, 543, 1616, 596, 593, 586, 1695, 5622, 28034, 26158, 2755, 596, 666, 1406, 2995, 952, 2576, 568, 5963, 2192, 30185, 267, 2348, 513, 2780, 11963, 2638, 518, 538, 707, 4757, 1982, 666, 6952, 9073, 899, 891, 563, 275, 269, 1403, 9039, 540, 519, 1657, 11974, 960, 630, 324, 3052, 1421, 596, 1294, 1945, 899, 968, 5804, 281, 1496, 16942, 6870, 316, 25257, 2119, 4466, 606, 4757, 2232, 602, 4667, 547, 581, 2953, 543, 1287, 3843, 547, 6494, 513, 1449, 4757, 609, 602, 2232, 547, 3054, 630, 324, 3052, 1421, 968, 296, 6557, 11488, 8885, 606, 4757, 282, 649, 2461, 2469, 547, 27642, 594, 6557, 19142, 909, 585, 1945, 26158, 932, 1734, 616, 596, 3580, 1205, 513, 18349, 952, 621, 779, 16995, 543, 2693, 4309, 606, 4977, 3210, 952, 621, 779, 1483, 563, 1692, 547, 13363, 23126, 689, 1975, 600, 888, 272, 269, 1403, 596, 2461, 14126, 827, 3478, 519, 4636, 4757, 2232, 267, 946, 606, 4757, 2232, 4464, 532, 3028, 899, 23968, 5622, 610, 717, 21166, 269, 3973, 1832, 782, 540, 707, 17066, 538, 835, 1747, 593, 707, 6049, 865, 602, 596, 2461, 711, 7683, 6679, 4351, 15737, 593, 519, 3926, 563, 273, 269, 1403, 596, 2461, 14126, 827, 8391, 15737, 689, 1004, 596, 1810, 1406, 917, 267, 1287, 1175, 6529, 547, 8924, 602, 616, 2241, 543, 2653, 547, 946, 630, 324, 3052, 1421, 717, 21166, 267, 31326, 1916, 274, 269, 1403, 596, 798, 1616, 547, 1129, 909, 585, 1945, 1175, 2899, 610, 7466, 829, 3018, 267, 1287, 2015, 4259, 909, 513, 2834, 4757, 2272, 609, 513, 22973, 8502, 630, 324, 3052, 1421, 23968, 5622, 267, 717, 21166, 264, 3079, 540, 19142, 909, 585, 1169, 1863, 813, 856, 972, 630, 324, 3052, 1421, 10965, 777, 23298, 1916, 275, 269, 645, 1168, 732, 540, 15737, 602, 616, 1932, 1434, 547, 581, 3020, 630, 324, 3052, 1421, 968, 2171, 8910, 899, 547, 1294, 952, 596, 20618, 585, 513, 1863, 27317, 1985, 3018, 17373, 610, 968, 2791, 4076, 4465, 513, 16314, 538, 2052, 322, 684, 17373, 1916, 276, 269, 5192, 7759, 540, 519, 8924, 593, 707, 6049, 602, 8850, 1129, 596, 909, 585, 8631, 269, 901, 949, 581, 4443, 1767, 982, 2944, 267, 855, 621, 779, 4502, 621, 547, 2057, 13311, 10997, 543, 838, 20632, 3091, 563, 277, 269, 6333, 2921, 5413, 540, 1007, 3354, 2934, 593, 707, 6049, 865, 1007, 22938, 13875, 3085, 1406, 1205, 9447, 547, 707, 28600, 630, 324, 3052, 1421, 15692, 3354, 5468, 610, 21236, 779, 10624, 5468, 1040, 8074, 281, 1411, 666, 849, 1305, 909, 12086, 865, 602, 1152, 1978, 11890, 543, 15737, 979, 883, 4757, 6589, 630, 324, 3052, 1421, 717, 21166, 1916, 278, 269, 2142, 3063, 18762, 609, 4896, 945, 779, 711, 5432, 547, 596, 630, 324, 3052, 1421, 513, 6264, 11985, 945, 779, 968, 339, 582, 958, 22973, 2223, 513, 32283, 518, 267, 610, 824, 1004, 538, 707, 1272, 596, 1810, 1406, 917, 13948, 1916, 279, 269, 1403, 606, 4757, 4992, 19035, 610, 3983, 630, 328, 4318, 1421, 621, 4667, 1932, 1434, 547, 581, 3020, 1070, 6494, 519, 4757, 547, 3054, 1101, 1354, 6679, 621, 593, 707, 6049, 269, 4746, 267, 2015, 1210, 11197, 779, 25357, 813, 799, 3091, 2542, 3681, 2147, 547, 519, 18376, 4528, 540, 31326, 267, 799, 949, 1118, 621, 4443, 585, 596, 547, 6430, 2436, 610, 711, 596, 1616, 547, 1930, 519, 4757, 563, 280, 269, 1403, 596, 2461, 3478, 513, 2603, 540, 28417, 270, 874, 5109, 15737, 267, 1287, 2015, 1210, 606, 4757, 19003, 3028, 899, 1975, 600, 325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 4197, 11572, 22411, 338, 543, 11150, 692, 8702, 547, 606, 3078, 3460, 883, 519, 1158, 540, 6214, 256, 5620, 596, 2479, 9289, 875, 14761, 2196, 741, 11044, 543, 2119, 547, 3094, 936, 17037, 286, 2107, 1946, 930, 10457, 946, 1978, 2994, 1247, 1866, 1810, 1405, 286, 901, 1576, 1770, 786, 948, 596, 1174, 891, 2035, 538, 513, 2241, 2943, 2502, 1259, 269, 2913, 781, 4685, 1318, 538, 2439, 6637, 476, 272, 281, 1548, 568, 15348, 2496, 6524, 649, 2911, 827, 2797, 11044, 543, 2994, 267, 1577, 781, 1101, 5581, 1018, 834, 335, 29176, 257, 1797, 269, 15439, 2322, 267, 6214, 4016, 547, 519, 2238, 543, 3664, 1500, 676, 1004, 945, 1616, 547, 2744, 543, 2226, 1379, 538, 2229, 269, 7971, 5974, 1711, 4031, 267, 4383, 2200, 267, 543, 2232, 2152, 7133, 2486, 269, 1358, 1419, 798, 865, 676, 5859, 532, 547, 1205, 11221, 610, 556, 19491, 539, 607, 8387, 538, 1585, 2157, 540, 2229, 267, 899, 2749, 14643, 2818, 267, 1533, 13222, 267, 610, 1256, 27504, 780, 6637, 476, 273, 281, 26121, 585, 8433, 910, 1323, 11137, 692, 2691, 2576, 16976, 547, 2196, 585, 5604, 267, 789, 2356, 1246, 1896, 3268, 547, 3914, 856, 547, 1761, 18793, 543, 18609, 873, 547, 8917, 269, 1452, 3268, 1522, 4125, 2870, 19297, 267, 16475, 2621, 267, 9683, 3506, 543, 2146, 7740, 267, 4758, 18531, 267, 3181, 908, 17837, 267, 543, 811, 269, 2353, 540, 891, 3646, 1927, 1106, 513, 11134, 781, 9550, 5859, 780, 290, 2086, 5218, 6887, 849, 960, 2182, 3297, 519, 10207, 547, 1020, 2500, 2081, 540, 14379, 609, 17037, 543, 5883, 2200, 269, 6056, 540, 513, 5859, 2319, 899, 519, 12284, 593, 513, 6928, 282, 1175, 607, 25501, 991, 547, 11282, 741, 3527, 547, 6330, 998, 14299, 6853, 7297, 267, 5859, 5234, 1590, 12840, 12347, 547, 2327, 1967, 780, 6637, 476, 274, 281, 15613, 543, 570, 716, 923, 1107, 589, 1849, 29141, 6733, 692, 288, 2629, 851, 540, 1022, 3811, 5859, 3322, 3384, 10888, 2994, 543, 12485, 269, 5994, 4730, 513, 3014, 540, 21802, 32503, 9327, 1405, 3274, 1847, 4773, 14477, 267, 1131, 596, 286, 5502, 267, 596, 5402, 1544, 1142, 3350, 1759, 593, 707, 2949, 4640, 547, 7001, 707, 18545, 781, 4622, 269, 6684, 267, 2797, 2054, 1235, 1589, 6619, 950, 4058, 11044, 267, 9027, 908, 741, 15712, 262, 7575, 543, 14577, 9935, 780, 25618, 625, 3277, 547, 1279, 3856, 4566, 267, 971, 607, 14045, 799, 22097, 547, 3077, 610, 7446, 1883, 6835, 602, 13469, 609, 1808, 2516, 269, 1280, 1383, 267, 952, 513, 22267, 6499, 547, 9029, 547, 7820, 17037, 267, 789, 949, 1445, 593, 1514, 2923, 5867, 2442, 1851, 14038, 543, 1762, 4079, 780, 307, 716, 923, 616, 4130, 267, 2110, 3856, 3527, 3144, 1369, 519, 2796, 540, 1346, 3677, 2994, 269, 6201, 1223, 1331, 12180, 678, 718, 625, 267, 26084, 8038, 619, 267, 610, 4881, 7641, 18537, 1282, 6305, 942, 27061, 269, 898, 781, 1898, 547, 3442, 3617, 12485, 602, 1489, 519, 1292, 3853, 9788, 856, 538, 519, 4640, 780, 6637, 476, 275, 281, 16792, 16497, 3231, 2740, 692, 3086, 602, 596, 917, 519, 9238, 540, 2797, 11044, 543, 2994, 267, 4952, 3054, 607, 513, 5859, 9614, 585, 513, 14070, 2199, 9550, 269, 6904, 2994, 543, 12485, 1131, 596, 2308, 547, 1921, 609, 1114, 2010, 540, 17037, 286, 1215, 666, 596, 1655, 8415, 3908, 2200, 1247, 21924, 1764, 286, 1635, 7311, 519, 4245, 4121, 1934, 267, 596, 666, 2253, 1620, 519, 10848, 3238, 538, 1483, 8996, 2797, 733, 3949, 780, 1103, 3932, 267, 2797, 11044, 2154, 6297, 4058, 543, 11056, 269, 21988, 10457, 7048, 593, 1134, 268, 2288, 339, 13050, 2994, 543, 12485, 3358, 547, 741, 2189, 6381, 269, 1306, 14971, 2184, 545, 657, 267, 1565, 827, 891, 3157, 1631, 786, 4196, 596, 1134, 2429, 707, 2104, 18129, 269, 8414, 5859, 532, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27038, 9664, 3040, 476, 10463, 267, 275, 2190, 9293, 3040, 7300, 3040, 476, 280, 269, 280, 15406, 454, 308, 22744, 539, 693, 476, 1708, 272, 268, 6021, 268, 2190, 476, 1428, 281, 4905, 454, 1607, 3561, 729, 11643, 676, 938, 3593, 543, 789, 6166, 602, 789, 723, 519, 9844, 547, 2671, 621, 269, 32114, 602, 596, 616, 5856, 610, 1378, 519, 10677, 540, 713, 3561, 267, 1867, 547, 721, 676, 1210, 713, 20336, 7563, 1867, 7735, 563, 763, 3203, 540, 11572, 2782, 11071, 454, 1607, 2985, 17543, 2451, 10145, 454, 763, 3203, 540, 11572, 2782, 11071, 808, 744, 670, 715, 808, 269, 623, 3951, 20911, 312, 267, 808, 681, 4586, 7419, 4353, 8991, 14510, 302, 674, 15528, 6369, 295, 6865, 4338, 305, 8577, 22374, 454, 3201, 12569, 15760, 808, 744, 670, 715, 808, 269, 623, 594, 570, 715, 661, 962, 2073, 808, 681, 1547, 630, 5976, 5261, 674, 269, 1230, 6773, 569, 267, 12789, 4700, 6837, 262, 32719, 550, 19724, 640, 286, 25743, 538, 519, 2475, 269, 5600, 630, 299, 534, 5069, 267, 300, 323, 1421, 476, 1960, 275, 994, 1607, 1433, 568, 3370, 609, 519, 21464, 6351, 540, 3798, 603, 22985, 331, 867, 22489, 563, 299, 296, 16576, 14473, 5508, 12164, 16165, 8577, 29640, 3201, 8104, 5058, 268, 2562, 6261, 308, 13993, 2975, 9569, 667, 25353, 16381, 2284, 267, 3627, 808, 269, 476, 4198, 276, 763, 1148, 540, 2797, 13137, 1315, 11990, 808, 269, 16381, 2284, 267, 297, 337, 269, 533, 269, 4699, 269, 22291, 12190, 7240, 8100, 543, 4994, 269, 9768, 476, 271, 268, 3199, 277, 272, 268, 30444, 274, 268, 280, 263, 743, 1054, 264, 9768, 476, 271, 268, 3199, 277, 272, 268, 24783, 273, 268, 272, 9638, 1653, 264, 476, 272, 10422, 29176, 267, 19750, 269, 476, 273, 269, 11572, 7589, 269, 476, 274, 269, 13639, 1148, 543, 2257, 6261, 11823, 3344, 269, 594, 269, 7170, 454, 763, 13099, 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, 938, 3460, 998, 942, 547, 2263, 835, 540, 1686, 781, 1034, 7415, 5515, 910, 5261, 9956, 256, 4634, 1498, 646, 5030, 7366, 540, 1296, 3516, 267, 1010, 2984, 543, 9954, 3136, 547, 7038, 721, 2221, 269, 6969, 649, 4685, 883, 1010, 4241, 1568, 267, 1577, 781, 1491, 513, 4090, 547, 1451, 827, 1010, 2038, 1272, 543, 875, 646, 2968, 1634, 607, 519, 834, 289, 731, 540, 2997, 517, 3010, 5978, 1650, 5956, 538, 31854, 5112, 5346, 517, 5025, 341, 517, 267, 513, 1507, 4884, 538, 4789, 1141, 9956, 729, 4535, 269, 4595, 4013, 6054, 4769, 1405, 2141, 2594, 3025, 781, 14512, 1394, 1287, 267, 789, 6059, 1010, 4332, 11845, 1759, 593, 950, 646, 729, 19071, 1242, 269, 901, 2356, 5949, 1614, 2395, 1310, 513, 4816, 8452, 267, 1739, 2025, 9821, 269, 1924, 267, 1256, 1498, 649, 1810, 1406, 917, 4010, 799, 1554, 9956, 3357, 883, 713, 1158, 267, 649, 3494, 621, 1223, 723, 1044, 1472, 4989, 476, 2641, 560, 267, 476, 2420, 526, 267, 610, 476, 2537, 6113, 1107, 3833, 2673, 547, 853, 269, 6723, 781, 4303, 256, 3683, 942, 267, 1004, 3323, 14120, 1010, 14512, 593, 4989, 476, 2537, 6113, 1317, 540, 513, 3409, 1500, 676, 513, 2199, 14787, 3957, 9478, 5682, 324, 269, 4014, 972, 3884, 1405, 1022, 4396, 6169, 540, 713, 1808, 4266, 267, 649, 1869, 2648, 26621, 1864, 1169, 1032, 2439, 3086, 596, 1522, 4898, 945, 5280, 3337, 713, 5863, 1268, 1282, 1010, 6689, 269, 2913, 781, 2743, 1010, 1920, 256, 3571, 4651, 267, 3627, 9956, 267, 5249, 2182, 607, 513, 1350, 1478, 543, 1870, 2006, 267, 1247, 1010, 3993, 267, 6307, 1488, 6577, 267, 20705, 547, 513, 14547, 8105, 1920, 269, 8625, 267, 789, 1185, 5216, 1453, 267, 1818, 9956, 741, 3791, 2370, 22753, 540, 7772, 269, 5994, 3395, 909, 11303, 676, 16254, 267, 4730, 3756, 267, 543, 4687, 11580, 1175, 899, 707, 1378, 1920, 2439, 2026, 513, 4819, 267, 9956, 2693, 13984, 513, 2199, 8239, 1153, 1572, 3751, 11977, 17886, 3427, 267, 7064, 547, 1010, 19033, 1373, 851, 540, 519, 4884, 14643, 269, 1703, 267, 646, 4121, 5824, 27825, 267, 6965, 267, 543, 20116, 267, 18413, 519, 5748, 585, 1010, 2104, 12591, 269, 2052, 596, 4952, 3054, 1565, 891, 5396, 1259, 1394, 1287, 286, 1215, 3579, 1131, 602, 581, 31841, 1103, 519, 1985, 3184, 540, 938, 7045, 1927, 267, 649, 786, 3605, 811, 827, 1018, 6273, 9956, 547, 1711, 930, 540, 519, 1034, 12300, 4249, 543, 5067, 26506, 540, 782, 942, 269, 3245, 15438, 543, 30842, 547, 4023, 625, 543, 535, 8962, 267, 1205, 4712, 547, 10625, 519, 9059, 3297, 1010, 1913, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 8834, 26652, 454, 19365, 9956, 630, 14444, 275, 1700, 14065, 277, 994, 4537, 6832, 267, 5261, 630, 14444, 275, 1700, 14065, 277, 1070, 31075, 543, 10564, 267, 729, 19071, 1242, 267, 4440, 676, 519, 25110, 17308, 267, 3627, 645, 4958, 577, 326, 2273, 548, 630, 528, 4858, 576, 326, 2273, 548, 1070, 538, 10513, 27076, 267, 519, 25110, 5939, 540, 31854, 5112, 2390, 2997, 517, 267, 593, 476, 2918, 4989, 476, 14444, 275, 267, 519, 3791, 1126, 540, 3627, 9956, 546, 269, 476, 8182, 272, 1496, 5408, 2630, 316, 543, 6307, 1488, 6577, 630, 323, 269, 476, 8182, 279, 1040, 898, 4667, 3617, 602, 519, 1101, 540, 1082, 10616, 538, 519, 5638, 540, 9956, 781, 1272, 1058, 581, 519, 3169, 4266, 540, 1010, 4332, 267, 1498, 602, 568, 513, 1455, 1966, 585, 519, 1974, 269, 1261, 729, 4440, 4535, 593, 476, 2641, 267, 476, 2420, 267, 610, 476, 2537, 4989, 476, 14444, 275, 267, 2016, 519, 476, 14028, 280, 11755, 1433, 781, 5528, 547, 3237, 593, 519, 1641, 540, 19071, 3359, 269, 1809, 267, 2479, 2094, 9478, 5682, 324, 267, 606, 22733, 10601, 31854, 5112, 1225, 622, 267, 5483, 519, 16159, 6723, 853, 2465, 26223, 602, 9956, 729, 4535, 593, 476, 2537, 4989, 267, 609, 1100, 7805, 2963, 585, 1010, 25195, 267, 543, 853, 2465, 26223, 7550, 602, 4266, 538, 1010, 476, 10082, 274, 7160, 540, 9956, 267, 621, 814, 1044, 8912, 547, 8263, 602, 9956, 729, 4535, 593, 853, 6723, 781, 1554, 267, 865, 602, 4789, 781, 17328, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 8049, 13442, 3957, 7705, 945, 3357, 547, 3047, 689, 513, 11397, 4541, 269, 2701, 4718, 1082, 1919, 855, 4769, 1405, 1174, 873, 267, 865, 1352, 4280, 513, 7874, 1480, 547, 2491, 780, 3080, 1554, 267, 1247, 789, 941, 9361, 1927, 267, 519, 1480, 4951, 7705, 513, 3561, 827, 834, 1613, 532, 13460, 607, 1565, 2950, 1701, 1809, 7705, 729, 811, 5461, 538, 5026, 267, 4481, 1286, 17040, 269, 1924, 267, 519, 1480, 4956, 547, 2491, 602, 3079, 780, 257, 2704, 2431, 267, 1577, 803, 2995, 596, 827, 6517, 543, 875, 3425, 5198, 873, 2437, 1767, 519, 1480, 269, 834, 290, 1513, 616, 6191, 602, 948, 721, 1847, 1472, 3533, 543, 3362, 269, 1358, 2097, 538, 782, 5546, 543, 7306, 267, 543, 930, 3425, 2972, 6117, 873, 3728, 538, 513, 6735, 1572, 1286, 17040, 3010, 30948, 798, 596, 1611, 676, 1412, 20142, 1516, 873, 3728, 286, 262, 1215, 3728, 666, 789, 979, 8119, 4280, 7705, 780, 257, 11039, 267, 6517, 666, 2951, 909, 547, 11250, 936, 476, 4968, 12919, 829, 5662, 10590, 14452, 519, 1480, 269, 834, 3719, 1282, 14797, 267, 10256, 1246, 3652, 547, 1832, 3025, 2922, 3010, 257, 19950, 532, 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 ]
[ 2798, 519, 1413, 909, 5276, 9695, 780, 290, 289, 454, 1892, 9484, 476, 278, 628, 476, 1220, 280, 267, 476, 4962, 281, 4375, 7537, 454, 297, 12282, 563, 290, 889, 545, 16754, 454, 1432, 594, 6415, 3843, 547, 1265, 616, 1106, 27909, 899, 891, 3283, 912, 263, 4322, 616, 519, 1106, 27909, 547, 1205, 513, 267, 536, 1341, 524, 585, 4949, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 2016, 513, 1305, 540, 1535, 543, 586, 1239, 2798, 2020, 320, 815, 630, 394, 352, 344, 265, 394, 352, 343, 265, 394, 352, 343, 274, 910, 3852, 352, 15383, 265, 333, 265, 394, 352, 343, 274, 910, 3852, 352, 344, 16732, 394, 352, 343, 273, 3738, 273, 454, 266, 3852, 352, 15383, 265, 394, 352, 343, 265, 394, 352, 343, 273, 1341, 3852, 352, 343, 273, 344, 265, 333, 20080, 273, 1107, 3852, 352, 343, 273, 344, 16732, 394, 352, 343, 264, 273, 994, 270, 630, 333, 265, 394, 352, 343, 273, 265, 394, 352, 343, 275, 1107, 630, 394, 352, 343, 264, 273, 265, 394, 352, 343, 275, 910, 562, 16732, 394, 352, 343, 274, 264, 273, 1341, 476, 273, 265, 394, 352, 343, 265, 394, 352, 343, 273, 265, 394, 352, 343, 274, 1107, 630, 394, 352, 343, 273, 264, 274, 2020, 321, 815, 630, 394, 352, 15383, 265, 333, 265, 394, 352, 343, 275, 910, 3852, 352, 344, 265, 394, 352, 343, 265, 394, 352, 343, 275, 1341, 3852, 352, 344, 265, 394, 352, 343, 273, 265, 394, 352, 343, 274, 454, 268, 3852, 352, 343, 273, 344, 265, 333, 265, 394, 352, 343, 274, 910, 3852, 352, 15383, 16732, 394, 352, 343, 273, 264, 273, 1341, 3852, 352, 343, 273, 344, 265, 394, 352, 343, 265, 394, 352, 343, 273, 994, 270, 630, 333, 265, 394, 352, 343, 273, 265, 394, 352, 343, 275, 1107, 630, 394, 352, 343, 264, 273, 265, 394, 352, 343, 275, 910, 562, 16732, 394, 352, 343, 274, 264, 273, 1341, 476, 273, 265, 394, 352, 343, 265, 394, 352, 343, 273, 265, 394, 352, 343, 274, 1107, 630, 394, 352, 343, 273, 264, 274, 2020, 322, 815, 630, 394, 352, 344, 265, 394, 352, 343, 273, 265, 394, 352, 343, 275, 910, 3852, 352, 15383, 265, 394, 352, 343, 265, 394, 352, 343, 275, 910, 3852, 352, 344, 16732, 394, 352, 343, 274, 264, 273, 454, 266, 3852, 352, 15383, 265, 394, 352, 343, 273, 265, 394, 352, 343, 274, 1341, 3852, 352, 343, 273, 344, 265, 394, 352, 343, 265, 394, 352, 343, 274, 1107, 3852, 352, 343, 273, 344, 16732, 394, 352, 343, 273, 264, 273, 994, 270, 630, 333, 265, 394, 352, 343, 273, 265, 394, 352, 343, 275, 1107, 630, 394, 352, 343, 264, 273, 265, 394, 352, 343, 275, 910, 562, 16732, 394, 352, 343, 274, 264, 273, 1341, 476, 273, 265, 394, 352, 343, 265, 394, 352, 343, 273, 265, 394, 352, 343, 274, 1107, 630, 394, 352, 343, 273, 264, 274, 994, 1892, 9484, 476, 278, 628, 476, 1220, 280, 267, 476, 5881, 281, 3066, 7537, 454, 295, 718, 810, 325, 296, 11803, 454, 7343, 30068, 267, 596, 616, 3168, 585, 519, 834, 548, 770, 10945, 257, 12945, 602, 4422, 834, 743, 657, 652, 257, 547, 1346, 2798, 780, 13914, 540, 621, 713, 1259, 281, 596, 616, 3168, 585, 513, 267, 536, 267, 524, 267, 546, 971, 602, 1169, 1448, 18159, 343, 318, 272, 267, 586, 318, 272, 1070, 630, 343, 318, 273, 267, 586, 318, 273, 1070, 1422, 10383, 24206, 24206, 267, 630, 343, 5332, 267, 586, 5332, 7751, 14183, 454, 259, 344, 318, 272, 284, 4949, 318, 272, 317, 274, 266, 536, 343, 318, 272, 317, 273, 266, 524, 343, 318, 272, 266, 546, 259, 2676, 259, 344, 318, 273, 284, 4949, 318, 273, 317, 274, 266, 536, 343, 318, 273, 317, 273, 266, 524, 343, 318, 273, 266, 546, 14204, 7445, 10383, 24206, 24206, 14204, 259, 344, 5332, 284, 4949, 5332, 317, 274, 266, 536, 343, 5332, 317, 273, 266, 524, 343, 5332, 266, 546, 6911, 2171, 666, 2328, 602, 607, 519, 5119, 3830, 267, 16547, 284, 536, 912, 7445, 8218, 21421, 26507, 318, 272, 317, 274, 1299, 1535, 318, 272, 317, 273, 1299, 1535, 318, 272, 1299, 476, 272, 8607, 1535, 318, 273, 317, 274, 1299, 1535, 318, 273, 317, 273, 1299, 1535, 318, 273, 1299, 476, 272, 8607, 315, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 8607, 315, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 8607, 315, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 8607, 343, 5332, 317, 274, 1299, 1535, 5332, 317, 273, 1299, 1535, 5332, 1299, 476, 272, 17910, 21421, 4151, 4399, 8218, 21421, 348, 320, 8607, 536, 8607, 524, 8607, 546, 17910, 21421, 13157, 1422, 8218, 21421, 348, 586, 318, 272, 8607, 586, 318, 273, 8607, 1422, 10383, 11138, 315, 10383, 11138, 315, 10383, 11138, 586, 5332, 17910, 21421, 31859, 3086, 589, 568, 513, 5276, 7004, 689, 1269, 305, 317, 275, 259, 547, 1269, 305, 18898, 259, 543, 865, 7851, 1269, 305, 317, 275, 259, 883, 513, 476, 275, 21021, 1016, 11898, 540, 1269, 305, 18898, 10608, 2334, 3830, 814, 513, 3070, 1152, 952, 536, 4523, 547, 9114, 538, 602, 1016, 11898, 630, 604, 519, 2798, 4755, 547, 9114, 593, 519, 3113, 540, 513, 12945, 1040, 1403, 711, 1287, 519, 1655, 649, 666, 798, 568, 547, 1265, 519, 1535, 538, 1269, 305, 317, 275, 259, 602, 568, 14191, 547, 536, 269, 2334, 1131, 1611, 602, 952, 1535, 568, 971, 267, 519, 6152, 689, 536, 547, 16547, 267, 16547, 268, 536, 267, 1590, 581, 13902, 547, 602, 1016, 11898, 543, 865, 13902, 547, 1169, 6152, 538, 621, 269, 4595, 1169, 6152, 538, 602, 1016, 11898, 666, 581, 2854, 607, 2997, 585, 930, 642, 538, 1269, 305, 317, 275, 259, 649, 1590, 723, 2999, 13510, 267, 16547, 268, 536, 285, 284, 476, 271, 1141, 834, 283, 2073, 3436, 257, 568, 519, 6418, 630, 25346, 264, 1587, 538, 1269, 305, 18898, 16859, 3086, 267, 930, 3069, 269, 1403, 589, 568, 513, 5276, 7004, 689, 6152, 2230, 772, 547, 6152, 2230, 966, 267, 1287, 922, 834, 29951, 2002, 2580, 589, 24682, 568, 519, 5276, 7004, 689, 966, 1394, 547, 772, 971, 602, 267, 585, 782, 579, 538, 772, 267, 642, 538, 966, 267, 2999, 288, 340, 267, 642, 285, 284, 2999, 340, 267, 589, 265, 341, 285, 1141, 519, 6418, 1587, 538, 966, 543, 593, 519, 1318, 538, 772, 269, 3371, 267, 2999, 13510, 267, 16547, 1532, 285, 284, 2999, 341, 267, 589, 16732, 288, 343, 1532, 264, 285, 284, 476, 271, 269, 1809, 1631, 602, 6418, 1587, 593, 519, 1318, 568, 538, 1269, 305, 317, 275, 259, 543, 642, 666, 581, 1022, 6152, 538, 1269, 305, 317, 275, 259, 2094, 519, 6418, 1587, 540, 589, 16732, 288, 343, 268, 536, 264, 609, 1022, 6152, 538, 1269, 305, 317, 275, 259, 630, 514, 1880, 609, 3294, 264, 568, 476, 271, 267, 649, 1590, 723, 589, 16732, 288, 343, 268, 536, 6661, 589, 265, 288, 343, 268, 589, 265, 321, 284, 476, 271, 610, 589, 265, 288, 343, 284, 589, 265, 321, 543, 865, 267, 952, 519, 11201, 6818, 267, 1269, 343, 284, 630, 288, 317, 265, 288, 264, 13064, 272, 348, 288, 317, 265, 321, 16859, 259, 263, 288, 317, 265, 288, 264, 13064, 272, 348, 288, 317, 265, 259, 630, 604, 621, 6818, 9984, 568, 519, 834, 2102, 1968, 1242, 11201, 257, 540, 589, 269, 898, 666, 581, 3254, 602, 952, 589, 814, 606, 11201, 267, 865, 1281, 589, 265, 543, 18159, 288, 265, 288, 264, 13064, 272, 13157, 589, 13064, 272, 348, 288, 265, 13064, 272, 4151, 865, 602, 18159, 288, 265, 288, 264, 13064, 272, 348, 288, 265, 284, 589, 13064, 272, 348, 288, 265, 13064, 272, 348, 288, 265, 284, 589, 13064, 272, 23201, 1809, 1256, 952, 589, 1281, 711, 723, 606, 11201, 630, 604, 621, 568, 711, 4009, 607, 538, 713, 2013, 264, 630, 288, 265, 288, 264, 13064, 272, 348, 949, 2291, 780, 2080, 267, 1269, 288, 284, 1422, 8218, 21421, 26507, 318, 272, 317, 274, 1299, 1535, 318, 272, 317, 273, 1299, 1535, 318, 272, 1299, 476, 272, 8607, 1535, 318, 273, 317, 274, 1299, 1535, 318, 273, 317, 273, 1299, 1535, 318, 273, 1299, 476, 272, 8607, 315, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 8607, 315, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 8607, 315, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 1299, 1422, 10383, 8607, 343, 5332, 317, 274, 1299, 1535, 5332, 317, 273, 1299, 1535, 5332, 1299, 476, 272, 17910, 21421, 4151, 865, 1269, 288, 265, 284, 1422, 8218, 21421, 26507, 318, 272, 317, 274, 1299, 1535, 318, 273, 317, 274, 1299, 1422, 10383, 24206, 24206, 315, 1535, 5332, 317, 274, 8607, 1535, 318, 272, 317, 273, 1299, 1535, 318, 273, 317, 273, 1299, 1422, 10383, 24206, 24206, 1535, 5332, 317, 273, 8607, 1535, 318, 272, 1299, 1535, 318, 273, 1299, 1422, 10383, 24206, 24206, 1535, 5332, 8607, 476, 272, 1299, 476, 272, 1299, 1422, 10383, 24206, 24206, 476, 272, 1422, 754, 21421, 21456, 663, 602, 1269, 288, 317, 265, 288, 284, 1422, 8218, 21421, 4153, 8999, 1535, 5332, 317, 277, 1299, 1422, 8999, 1535, 5332, 317, 276, 1299, 1422, 8999, 1535, 5332, 317, 275, 1299, 1422, 8999, 1535, 5332, 317, 274, 8607, 1422, 8999, 1535, 5332, 317, 276, 1299, 1422, 8999, 1535, 5332, 317, 275, 1299, 1422, 8999, 1535, 5332, 317, 274, 1299, 1422, 8999, 1535, 5332, 317, 273, 8607, 1422, 8999, 1535, 5332, 317, 275, 1299, 1422, 8999, 1535, 5332, 317, 274, 1299, 1422, 8999, 1535, 5332, 317, 273, 1299, 1422, 8999, 1535, 5332, 8607, 1422, 8999, 1535, 5332, 317, 274, 1299, 1422, 8999, 1535, 5332, 317, 273, 1299, 1422, 8999, 1535, 5332, 1299, 562, 17910, 21421, 31859, 9827, 1269, 288, 317, 265, 321, 284, 1422, 8218, 21421, 4153, 8999, 1535, 5332, 317, 274, 344, 5332, 8607, 1422, 8999, 1535, 5332, 317, 273, 344, 5332, 8607, 1422, 8999, 1535, 5332, 344, 5332, 8607, 1422, 8999, 586, 5332, 17910, 21421, 10592, 3086, 267, 519, 32462, 851, 568, 547, 1265, 519, 11201, 540, 602, 476, 275, 676, 476, 275, 5119, 269, 2334, 781, 2469, 547, 4125, 930, 2731, 30255, 12596, 602, 594, 1810, 1405, 1616, 547, 723, 547, 5173, 256, 1809, 2899, 596, 723, 2944, 602, 267, 513, 267, 536, 267, 524, 267, 543, 546, 616, 2016, 676, 519, 3334, 540, 1269, 27007, 288, 317, 265, 288, 264, 13064, 272, 348, 6012, 288, 317, 265, 536, 316, 259, 563, 1892, 9484, 476, 279, 628, 476, 1220, 280, 267, 476, 1321, 281, 4375, 7537, 454, 297, 12282, 563, 290, 889, 545, 16754, 454, 763, 1966, 609, 1319, 1182, 568, 602, 594, 6415, 2469, 547, 581, 1603, 519, 1106, 27909, 883, 513, 2780, 1982, 267, 799, 666, 1405, 4194, 14290, 267, 799, 568, 1946, 594, 729, 3168, 585, 1106, 27909, 899, 519, 3283, 1657, 269, 4634, 513, 3095, 609, 1945, 602, 1223, 948, 1131, 581, 15874, 780, 12552, 2676, 297, 12282, 563, 1892, 9484, 476, 279, 628, 476, 1220, 280, 267, 476, 6021, 281, 3066, 7537, 454, 290, 2194, 664, 14937, 454, 32621, 1384, 23192, 17397, 676, 8065, 810, 325, 296, 11803, 454, 7343, 30068, 267, 596, 616, 3168, 585, 519, 834, 548, 770, 10945, 257, 12945, 602, 4422, 834, 743, 657, 652, 257, 547, 1346, 2798, 780, 13914, 540, 621, 713, 1259, 281, 596, 616, 3168, 585, 513, 267, 536, 267, 524, 267, 546, 971, 602, 1169, 1448, 18159, 343, 318, 272, 267, 586, 318, 272, 1070, 630, 343, 318, 273, 267, 586, 318, 273, 1070, 1422, 10383, 24206, 24206, 267, 630, 343, 5332, 267, 586, 5332, 7751, 14183, 454, 259, 344, 318, 272, 284, 4949, 318, 272, 317, 274, 266, 536, 343, 318, 272, 317, 273, 266, 524, 343, 318, 272, 266, 546, 259, 2676, 259, 344, 318, 273, 284, 4949, 318, 273, 317, 274, 266, 536, 343, 318, 273, 317, 273, 266, 524, 343, 318, 273, 266, 546, 14204, 7445, 10383, 24206, 24206, 14204, 259, 344, 5332, 284, 4949, 5332, 317, 274, 266, 536, 343, 5332, 317, 273, 266, 524, 343, 5332, 266, 546, 6911, 2171, 666, 2328, 602, 607, 519, 5119, 3830, 267, 16547, 284, 536, 912, 7445, 8218, 21421, 26507, 318, 272, 317, 274, 1299, 1535, 318, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 7533, 540, 513, 1599, 2053, 513, 3586, 630, 274, 264, 568, 3160, 547, 519, 3586, 2053, 519, 7533, 540, 519, 1599, 269, 1284, 666, 4194, 519, 7533, 1422, 842, 552, 3867, 10559, 2765, 346, 2420, 2410, 276, 26507, 348, 11459, 676, 7311, 5610, 676, 18839, 1505, 630, 10193, 1572, 772, 4149, 889, 560, 3191, 1040, 3689, 267, 649, 1590, 2697, 513, 3296, 1369, 519, 7533, 609, 513, 1007, 4756, 630, 2280, 781, 1289, 621, 579, 1070, 799, 950, 2655, 21114, 2306, 519, 7533, 4443, 269, 1284, 1294, 602, 28363, 2765, 346, 2420, 2410, 276, 26507, 621, 781, 513, 1434, 11134, 585, 18839, 269, 2913, 781, 5581, 513, 4756, 579, 543, 3651, 621, 547, 519, 1781, 4923, 851, 269, 3767, 267, 538, 1931, 547, 27682, 15848, 538, 2474, 540, 5918, 267, 649, 991, 547, 1265, 519, 12045, 540, 579, 269, 1284, 991, 547, 5173, 5918, 267, 649, 666, 798, 602, 676, 3541, 1516, 519, 3830, 1657, 780, 1012, 476, 426, 510, 481, 15937, 2626, 547, 519, 1966, 692, 7445, 2765, 346, 1428, 2410, 268, 2420, 348, 324, 3867, 10559, 2765, 346, 2420, 2410, 276, 26507, 15396, 290, 318, 271, 6911, 1012, 476, 426, 510, 483, 10812, 1114, 2081, 547, 4194, 713, 1966, 692, 306, 6295, 513, 2979, 1966, 1210, 1114, 2409, 568, 1271, 1317, 621, 10597, 1620, 267, 7512, 2565, 3206, 267, 2636, 585, 2789, 3435, 267, 543, 10953, 1966, 9010, 2994, 269, 3367, 811, 692, 27409, 777, 311, 600, 589, 273, 692, 7883, 2336, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 271, 454, 320, 454, 321, 454, 322, 454, 323, 454, 325, 454, 326, 454, 332, 454, 333, 454, 340, 454, 341, 454, 342, 454, 343, 454, 344, 454, 345, 454, 563, 263, 414, 501, 375, 994, 32504, 8894, 9943, 454, 414, 501, 375, 270, 414, 501, 375, 454, 13045, 383, 371, 454, 273, 692, 324, 454, 11027, 454, 15238, 454, 8421, 454, 8421, 454, 3916, 454, 323, 7933, 343, 454, 291, 343, 454, 347, 414, 501, 375, 2008, 15184, 454, 23751, 11417, 283, 454, 285, 23751, 283, 23751, 7562, 454, 6523, 454, 11927, 454, 20799, 454, 5913, 454, 322, 2675, 692, 553, 514, 454, 659, 657, 454, 27979, 454, 659, 582, 454, 848, 322, 454, 659, 2675, 692, 7562, 327, 454, 6523, 327, 454, 11927, 327, 454, 322, 1054, 454, 572, 577, 454, 14369, 577, 692, 553, 514, 327, 454, 659, 9655, 454, 27979, 327, 454, 659, 1054, 454, 848, 577, 454, 30929, 577, 692, 2162, 5236, 482, 366, 6301, 13445, 281, 6715, 23552, 540, 5890, 11228, 12793, 692, 17829, 616, 29398, 602, 4125, 12825, 3252, 269, 31962, 602, 606, 12825, 1599, 568, 513, 1599, 540, 519, 1106, 535, 3287, 6661, 320, 28682, 269, 0, 258, 14581, 6435, 281, 16949, 1635, 15240, 3191, 692, 272, 269, 4119, 476, 273, 267, 476, 1220, 279, 692, 2162, 5794, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 912, 6748, 519, 18839, 1269, 340, 284, 274, 343, 266, 275, 8961, 960, 856, 912, 7445, 842, 476, 273, 343, 1422, 6912, 346, 274, 343, 266, 275, 10592, 273, 269, 634, 3801, 693, 513, 3070, 912, 7445, 842, 476, 273, 343, 1422, 6912, 346, 274, 343, 266, 275, 21456, 259, 340, 284, 274, 343, 266, 275, 1422, 21375, 1422, 9507, 18097, 26507, 815, 1422, 2765, 3189, 9507, 18097, 348, 340, 2410, 274, 21456, 7445, 842, 1422, 3847, 263, 1422, 2765, 346, 340, 268, 275, 2410, 274, 348, 1422, 2431, 9385, 3847, 26086, 17353, 2765, 1321, 4153, 2431, 264, 1422, 1422, 2765, 3189, 9507, 18097, 348, 340, 2410, 274, 21456, 7445, 2765, 866, 1422, 842, 579, 17353, 2765, 3953, 348, 910, 476, 275, 340, 17353, 2765, 1321, 348, 1422, 1422, 9507, 18097, 348, 340, 14204, 259, 7807, 2765, 866, 1422, 3847, 314, 1422, 2765, 346, 273, 340, 17353, 2765, 7367, 12453, 276, 348, 910, 1422, 2765, 346, 279, 340, 17353, 2765, 3953, 12453, 274, 4153, 2431, 316, 1341, 524, 14204, 259, 7807, 2765, 346, 273, 340, 17353, 2765, 7367, 12453, 3393, 348, 910, 1422, 2765, 346, 279, 340, 17353, 2765, 3953, 12453, 2767, 3686, 266, 322, 14204, 259, 7807, 2765, 346, 273, 263, 274, 343, 266, 275, 8203, 3189, 2765, 7367, 12453, 3393, 348, 910, 1422, 2765, 346, 279, 263, 274, 343, 266, 275, 8203, 3189, 2765, 3953, 12453, 2767, 348, 1341, 524, 6911, 274, 269, 634, 1966, 602, 594, 993, 25884, 912, 296, 729, 2673, 547, 519, 2626, 855, 621, 568, 11234, 269, 634, 2953, 2626, 568, 912, 7445, 2765, 346, 275, 263, 274, 343, 266, 275, 8203, 3189, 2765, 7367, 12453, 3393, 348, 910, 1422, 2765, 346, 1626, 263, 274, 343, 266, 275, 8203, 3189, 2765, 3953, 12453, 2767, 348, 1341, 524, 14204, 8489, 723, 594, 8854, 4636, 286, 8729, 538, 4434, 780, 273, 269, 4119, 476, 273, 267, 476, 1220, 279, 692, 2162, 546, 318, 548, 564, 692, 2791, 29709, 547, 1832, 519, 476, 273, 602, 729, 538, 4395, 540, 519, 3312, 1966, 1310, 596, 1500, 519, 18839, 780, 274, 269, 4119, 476, 273, 267, 476, 1220, 279, 692, 2162, 30380, 335, 692, 31800, 1695, 5654, 899, 596, 1705, 711, 1253, 337, 321, 1393, 519, 476, 273, 950, 596, 1305, 1535, 14352, 340, 268, 275, 8358, 274, 269, 1924, 1689, 707, 476, 275, 628, 1900, 547, 513, 476, 273, 270, 280, 3544, 519, 7533, 780, 18704, 713, 1390, 4901, 609, 1866, 3842, 23749, 267, 5616, 31956, 12108, 267, 610, 9365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 19415, 909, 1631, 547, 713, 18979, 530, 534, 269, 533, 269, 476, 2918, 563, 268, 918, 625, 1013, 1157, 267, 3627, 630, 1220, 274, 1040, 17547, 519, 8279, 256, 634, 8177, 540, 13221, 593, 4457, 7698, 9177, 269, 1733, 880, 339, 1631, 269, 23134, 2160, 4964, 269, 2142, 519, 13411, 905, 1188, 267, 713, 568, 513, 844, 732, 530, 534, 269, 6032, 269, 476, 10082, 1700, 8687, 563, 268, 6428, 7666, 3266, 267, 595, 267, 519, 554, 3233, 269, 623, 15127, 630, 1001, 278, 1040, 3371, 781, 1776, 844, 732, 835, 269, 834, 7072, 2668, 13221, 543, 6925, 281, 1323, 16262, 1108, 540, 2776, 19640, 17796, 269, 12052, 2160, 4964, 563, 268, 595, 2313, 267, 9324, 1047, 267, 519, 695, 924, 24849, 330, 269, 3703, 13221, 543, 519, 22662, 262, 1715, 6520, 538, 634, 2037, 9871, 14037, 11905, 1504, 540, 1715, 6520, 9671, 687, 12995, 676, 6276, 681, 269, 595, 6415, 699, 21266, 594, 2995, 586, 714, 269, 11066, 563, 268, 3245, 332, 267, 661, 5341, 630, 2735, 280, 267, 476, 1220, 273, 1040, 634, 3203, 540, 2142, 514, 8339, 14348, 9493, 2220, 958, 713, 538, 513, 8792, 1631, 286, 29369, 281, 8033, 10840, 269, 9768, 476, 271, 268, 279, 2918, 275, 268, 6187, 278, 274, 268, 275, 563, 268, 28763, 520, 19053, 4883, 267, 13744, 630, 1220, 276, 1070, 581, 519, 11876, 4486, 256, 1290, 514, 262, 547, 3776, 590, 5151, 281, 1261, 16433, 262, 3776, 2383, 543, 519, 22662, 262, 2622, 3414, 24238, 269, 6032, 269, 476, 1321, 1700, 1724, 269, 3371, 781, 1776, 844, 732, 835, 585, 9493, 269, 15214, 542, 269, 9768, 476, 271, 268, 4281, 277, 279, 268, 279, 4792, 275, 268, 275, 563, 268, 32129, 518, 630, 539, 4700, 282, 22506, 543, 519, 22662, 262, 17700, 281, 634, 595, 13224, 543, 519, 22699, 262, 595, 2313, 542, 563, 268, 3245, 332, 267, 661, 5341, 267, 667, 267, 4023, 1404, 269, 570, 269, 30554, 25431, 1299, 9400, 1546, 6742, 3626, 630, 3422, 271, 1040, 24789, 13221, 543, 5369, 15351, 4519, 267, 602, 781, 18979, 1631, 1018, 286, 6032, 269, 476, 6507, 1700, 4281, 267, 12924, 281, 22489, 1299, 18007, 267, 596, 917, 586, 518, 1345, 269, 9768, 476, 271, 268, 6187, 268, 271, 3445, 11260, 268, 277, 563, 268, 23421, 2006, 267, 31130, 630, 1001, 273, 264, 715, 1054, 514, 262, 543, 5272, 628, 514, 262, 1107, 634, 21478, 540, 13221, 593, 519, 1977, 589, 2779, 8493, 324, 281, 476, 3707, 273, 1700, 3422, 273, 3345, 9533, 7734, 454, 268, 1744, 16120, 1143, 281, 1323, 15610, 540, 2622, 27801, 338, 267, 13756, 267, 543, 9177, 269, 13235, 4211, 299, 22473, 267, 1917, 528, 19207, 269, 476, 1220, 275, 269, 2142, 519, 11876, 4486, 1934, 781, 513, 844, 732, 530, 534, 269, 533, 269, 476, 3451, 563, 268, 9652, 1299, 717, 3234, 630, 1001, 274, 1070, 6032, 269, 476, 4097, 1700, 4391, 563, 268, 29542, 630, 1001, 274, 1070, 533, 269, 476, 276, 563, 268, 4658, 781, 6243, 540, 3624, 281, 9671, 687, 543, 932, 11699, 18926, 11137, 476, 1001, 272, 21444, 476, 274, 4728, 476, 1001, 277, 693, 519, 10158, 3724, 10724, 267, 22186, 541, 2088, 654, 20044, 601, 268, 5938, 21310, 630, 1001, 272, 1070, 3624, 2098, 550, 5300, 267, 5125, 454, 268, 623, 1168, 3194, 4741, 630, 1001, 273, 1916, 268, 14136, 267, 700, 821, 569, 269, 4906, 267, 6307, 543, 13411, 12142, 9478, 269, 834, 9824, 580, 542, 1299, 27801, 538, 15173, 15158, 267, 3624, 2668, 19415, 909, 1631, 547, 713, 18979, 530, 534, 269, 700, 821, 569, 14136, 269, 9452, 286, 8158, 476, 4029, 4728, 476, 1708, 272, 563, 268, 834, 3008, 8656, 14298, 5746, 4953, 312, 281, 5990, 23333, 28421, 3582, 5442, 28132, 28692, 2668, 8940, 269, 553, 5362, 1539, 1214, 332, 5237, 3820, 269, 932, 16194, 339, 31471, 26663, 269, 8158, 476, 4029, 4728, 476, 1708, 272, 563, 268, 834, 9824, 580, 542, 538, 5839, 879, 910, 14080, 11040, 543, 23089, 540, 654, 11208, 910, 4591, 573, 1518, 2668, 8940, 269, 3128, 573, 1518, 2593, 269, 717, 262, 9774, 1631, 543, 6432, 547, 713, 530, 534, 269, 8158, 476, 4029, 4728, 476, 1708, 272, 563, 268, 27173, 1695, 267, 10609, 684, 1621, 630, 1960, 272, 1040, 9452, 286, 834, 13750, 543, 15215, 281, 13221, 543, 2817, 30395, 514, 262, 538, 14135, 2580, 865, 621, 568, 269, 7414, 7348, 4812, 269, 476, 3953, 630, 272, 2567, 476, 2190, 1700, 5655, 269, 8222, 281, 1015, 269, 9340, 272, 270, 777, 341, 269, 25834, 16573, 269, 31192, 476, 28091, 279, 268, 4366, 273, 276, 563, 268, 834, 309, 28126, 13221, 8487, 268, 834, 17471, 16241, 23721, 1107, 16241, 23531, 676, 13474, 2580, 581, 329, 904, 639, 269, 634, 623, 1168, 17072, 269, 8158, 476, 2764, 5147, 476, 1001, 274, 563, 268, 834, 396, 353, 396, 350, 396, 508, 18194, 17201, 5284, 370, 4138, 20977, 16068, 20413, 3264, 21833, 7549, 32648, 32553, 27799, 4736, 4138, 3378, 20265, 23783, 21162, 17153, 16068, 4344, 21170, 20732, 23845, 9326, 17153, 11714, 2843, 510, 396, 353, 2668, 20289, 24329, 256, 2098, 2793, 298, 269, 1733, 880, 339, 1631, 543, 552, 626, 15073, 558, 269, 8158, 476, 1428, 4989, 476, 1001, 278, 563, 268, 834, 763, 476, 1001, 274, 17227, 543, 4984, 257, 630, 14457, 1040, 887, 344, 1023, 1539, 1214, 3820, 8542, 345, 269, 8158, 476, 1724, 4864, 476, 1708, 272, 563, 268, 19248, 784, 320, 267, 1715, 10215, 12080, 585, 9177, 543, 11595, 1855, 2494, 520, 340, 269, 10513, 1025, 1430, 514, 262, 9478, 267, 6432, 547, 713, 269, 834, 289, 3291, 327, 1235, 2668, 751, 4673, 10993, 339, 8542, 345, 267, 1018, 286, 8158, 476, 1321, 4873, 476, 1708, 271, 563, 268, 834, 289, 3291, 7290, 19305, 1923, 13221, 5240, 267, 10361, 6050, 1923, 2622, 1923, 8738, 332, 3150, 14418, 27694, 10741, 538, 18940, 2580, 585, 519, 6159, 545, 269, 14418, 577, 14128, 6745, 341, 269, 9941, 21979, 262, 1554, 269, 476, 276, 5130, 476, 1220, 280, 563, 268, 834, 21809, 6750, 5619, 1239, 3758, 2668, 2142, 329, 904, 639, 713, 568, 513, 844, 732, 9661, 15587, 269, 21444, 689, 519, 3312, 593, 476, 1724, 4989, 476, 1220, 275, 563, 268, 10803, 14135, 281, 476, 1001, 276, 4937, 5600, 3835, 11752, 21444, 476, 276, 2904, 476, 1001, 278, 693, 519, 21979, 262, 10158, 3724, 10724, 267, 6264, 865, 269, 15215, 1239, 21444, 476, 280, 4989, 476, 1001, 277, 693, 519, 21979, 262, 10158, 3724, 10724, 454, 268, 15990, 267, 2475, 3557, 4972, 454, 268, 2073, 8433, 540, 519, 21362, 32057, 4937, 1299, 17227, 30934, 267, 19328, 454, 268, 31828, 23167, 590, 1075, 527, 1729, 630, 1001, 271, 1070, 12414, 514, 262, 519, 24747, 540, 18266, 281, 19410, 776, 593, 519, 17700, 781, 3689, 17546, 514, 3299, 1744, 3711, 327, 8403, 454, 268, 18722, 267, 8349, 630, 1960, 280, 1070, 10266, 543, 4706, 7736, 514, 9166, 634, 9050, 32201, 18266, 338, 538, 519, 634, 9545, 3385, 14418, 32588, 267, 30296, 454, 268, 18722, 267, 8349, 630, 1220, 274, 1040, 834, 19177, 32201, 18266, 338, 2668, 4906, 267, 6307, 543, 9478, 269, 769, 22084, 6202, 267, 7917, 661, 269, 630, 539, 12175, 14348, 9493, 3494, 713, 695, 924, 286, 5319, 11602, 540, 13221, 269, 19415, 909, 1631, 547, 713, 18979, 530, 534, 269, 5839, 17524, 534, 13129, 7734, 269, 10513, 1025, 1430, 514, 262, 9478, 267, 6432, 547, 713, 269, 9768, 476, 7818, 268, 271, 268, 6349, 268, 279, 4792, 278, 1240, 268, 280, 563, 268, 18722, 267, 8349, 630, 1001, 274, 1070, 10266, 543, 4706, 7736, 514, 9166, 634, 9050, 32201, 18266, 338, 538, 519, 634, 9545, 3385, 14418, 32588, 267, 30296, 454, 268, 28226, 267, 27239, 630, 1220, 275, 1070, 17700, 267, 31919, 4964, 267, 9768, 476, 7818, 268, 271, 268, 1691, 268, 24062, 275, 3607, 268, 271, 454, 268, 1488, 976, 517, 267, 29542, 645, 269, 4906, 267, 6307, 543, 13411, 12142, 9478, 269, 630, 2735, 271, 1040, 4906, 267, 6307, 543, 13411, 12142, 9478, 269, 11146, 543, 6641, 15797, 538, 634, 9545, 5953, 6767, 13221, 269, 7763, 559, 531, 14465, 1513, 573, 817, 269, 9768, 476, 7818, 268, 10037, 268, 21172, 268, 9610, 274, 268, 276, 563, 268, 645, 732, 879, 267, 1656, 28584, 630, 4198, 276, 1070, 1412, 299, 525, 590, 624, 525, 536, 3716, 323, 327, 2294, 5918, 8891, 527, 966, 2946, 327, 545, 2544, 267, 15223, 580, 517, 281, 27878, 1723, 548, 31839, 320, 1047, 546, 262, 15761, 337, 17845, 1889, 14114, 686, 550, 454, 268, 26636, 6062, 267, 13225, 1731, 16223, 340, 630, 1220, 271, 1070, 634, 4045, 539, 5494, 12973, 540, 519, 17700, 269, 4906, 267, 6307, 543, 13411, 12142, 9478, 269, 589, 22564, 540, 519, 22662, 262, 6341, 344, 583, 3279, 21208, 11535, 267, 27067, 23549, 267, 9768, 476, 7818, 268, 271, 268, 279, 8618, 10170, 268, 28664, 268, 279, 454, 268, 26636, 6062, 267, 13225, 1731, 16223, 340, 630, 1220, 276, 1040, 595, 6415, 699, 21266, 594, 2995, 586, 320, 269, 769, 519, 22699, 262, 17700, 781, 9293, 281, 1323, 16262, 1108, 540, 5494, 12973, 689, 519, 22699, 262, 6022, 328, 32588, 269, 24622, 969, 4068, 281, 27067, 23549, 269, 17610, 713, 568, 621, 269, 9768, 476, 7818, 268, 271, 268, 279, 8618, 10170, 268, 5392, 272, 268, 280, 563, 268, 20607, 267, 6723, 667, 269, 1488, 571, 262, 1131, 9493, 6432, 547, 713, 269, 630, 1960, 273, 1070, 634, 14418, 4860, 2526, 538, 16444, 20092, 281, 16241, 28673, 267, 1234, 5793, 13133, 566, 543, 15863, 267, 7763, 559, 531, 14465, 1513, 573, 817, 23255, 454, 268, 4858, 345, 1512, 267, 6424, 630, 1220, 272, 1070, 634, 18461, 514, 262, 17700, 267, 20484, 6583, 1501, 514, 7055, 268, 17588, 330, 1817, 560, 267, 29312, 630, 1960, 274, 1070, 634, 5565, 26492, 2986, 25990, 769, 9147, 3127, 267, 7763, 559, 531, 14465, 1513, 573, 817, 6583, 331, 563, 268, 17588, 330, 1817, 560, 267, 29312, 630, 1960, 279, 1070, 834, 12441, 519, 17700, 5617, 10079, 538, 918, 12609, 543, 1234, 19689, 286, 2580, 4750, 540, 519, 21979, 262, 4139, 5948, 540, 14418, 5525, 267, 476, 2641, 630, 272, 2567, 476, 272, 1700, 736, 454, 268, 17588, 330, 1817, 560, 267, 29312, 630, 1220, 278, 1070, 20523, 7395, 611, 3873, 267, 5525, 519, 21979, 262, 9177, 540, 7216, 3127, 269, 14348, 9493, 3494, 713, 695, 924, 286, 306, 7685, 281, 18361, 540, 31970, 5525, 267, 8791, 476, 273, 3162, 5607, 10022, 267, 5696, 650, 14288, 23255, 5549, 1421, 9768, 476, 7818, 268, 3445, 268, 6860, 268, 12893, 866, 268, 275, 454, 268, 17588, 330, 1817, 560, 267, 29312, 630, 1001, 272, 1040, 13221, 538, 519, 22662, 262, 1744, 20760, 540, 23347, 2006, 1143, 269, 5696, 650, 14288, 269, 9768, 476, 7818, 268, 3445, 268, 6860, 268, 1001, 2412, 268, 279, 563, 268, 17588, 330, 1817, 560, 267, 29312, 630, 1001, 274, 1040, 19415, 909, 1631, 547, 713, 18979, 530, 534, 269, 14418, 17546, 514, 262, 538, 3127, 269, 27067, 23549, 269, 22206, 518, 514, 262, 808, 904, 639, 269, 9768, 476, 7818, 268, 271, 268, 279, 8618, 10170, 268, 279, 1556, 268, 276, 563, 268, 21207, 24274, 267, 14339, 630, 2735, 275, 1070, 834, 763, 14418, 547, 8644, 3130, 281, 1323, 5811, 540, 519, 5903, 514, 262, 540, 853, 1137, 2580, 634, 4750, 540, 519, 21979, 262, 4139, 5948, 540, 14418, 5525, 267, 476, 278, 630, 273, 994, 268, 22084, 6202, 267, 7917, 661, 269, 717, 262, 9774, 1631, 269, 12789, 5919, 717, 574, 10314, 267, 7917, 631, 1421, 32308, 269, 630, 1960, 273, 1070, 11202, 338, 547, 8644, 3130, 267, 547, 581, 2386, 269, 634, 12540, 320, 543, 922, 17992, 725, 538, 14418, 23539, 267, 16156, 281, 7763, 559, 531, 14465, 1513, 573, 817, 23255, 454, 268, 22084, 6202, 267, 7917, 661, 269, 12789, 5919, 700, 2100, 345, 267, 18496, 12789, 269, 630, 1220, 274, 1070, 634, 23134, 9218, 540, 13221, 267, 23134, 2160, 4964, 454, 268, 22084, 6202, 267, 7917, 661, 1421, 1196, 269, 1733, 880, 339, 1631, 543, 6432, 547, 713, 530, 534, 269, 630, 1220, 275, 1070, 15610, 540, 13221, 267, 5839, 27908, 534, 13129, 7734, 267, 9768, 476, 7818, 268, 271, 268, 6349, 268, 279, 4792, 278, 1240, 268, 280, 454, 268, 2961, 761, 1667, 267, 7812, 630, 2735, 274, 1070, 634, 17700, 267, 10228, 1496, 8777, 1633, 22049, 1715, 3840, 281, 10228, 2160, 4964, 454, 268, 2961, 761, 1667, 267, 7812, 630, 2735, 277, 1070, 5853, 619, 540, 5132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 932, 24075, 656, 1335, 636, 4806, 609, 5409, 26382, 32060, 563, 8170, 2027, 1719, 547, 721, 568, 519, 1249, 602, 1312, 8090, 540, 552, 1181, 640, 543, 942, 17787, 4043, 547, 581, 4810, 609, 1360, 7920, 4664, 269, 2290, 1223, 4952, 602, 4466, 13951, 538, 971, 606, 12012, 1533, 568, 3294, 581, 32612, 1359, 543, 4061, 10875, 269, 1809, 972, 616, 1082, 25340, 12012, 2829, 540, 9637, 602, 3668, 513, 7222, 3929, 3178, 269, 13298, 267, 649, 1589, 602, 713, 8813, 856, 540, 519, 1360, 2470, 540, 32447, 543, 519, 1259, 621, 568, 1644, 547, 519, 2497, 540, 835, 779, 1995, 563, 1103, 1880, 267, 519, 15340, 3069, 540, 32447, 630, 4306, 309, 264, 649, 616, 3384, 693, 519, 19120, 807, 3194, 4659, 29102, 602, 519, 12257, 1790, 664, 7852, 568, 513, 1599, 540, 519, 15340, 630, 663, 4550, 1606, 2096, 11496, 264, 540, 519, 6310, 1843, 4171, 2934, 616, 568, 25806, 547, 606, 1995, 779, 5039, 1108, 269, 769, 519, 2013, 540, 519, 16866, 11442, 2203, 540, 9637, 1759, 593, 519, 3060, 540, 2199, 11006, 4296, 267, 713, 15340, 949, 8915, 538, 519, 1106, 540, 2834, 640, 1369, 543, 2066, 6106, 269, 5637, 538, 942, 17787, 543, 8090, 540, 552, 1181, 640, 649, 1294, 513, 1454, 811, 14733, 1377, 540, 15340, 540, 713, 4990, 982, 538, 519, 865, 828, 29660, 6066, 15561, 2497, 269, 19452, 267, 15340, 2059, 519, 29660, 6066, 15561, 949, 2491, 519, 1164, 2157, 540, 2318, 32447, 2404, 609, 2575, 267, 10649, 267, 610, 326, 11047, 267, 543, 5834, 9066, 269, 3962, 540, 891, 2238, 1131, 3100, 547, 1291, 547, 18110, 7555, 6329, 2059, 519, 29660, 6066, 15561, 267, 543, 8754, 267, 3810, 32447, 2829, 269, 8892, 1740, 4927, 2832, 547, 1449, 713, 19359, 10686, 1227, 563, 763, 19120, 807, 3194, 4659, 8298, 334, 630, 339, 574, 6804, 267, 607, 596, 666, 1294, 994, 22428, 602, 649, 798, 917, 700, 272, 543, 700, 273, 267, 855, 649, 798, 711, 917, 681, 272, 543, 681, 273, 269, 4024, 1565, 631, 272, 2995, 721, 4376, 827, 631, 273, 286, 20965, 763, 2626, 267, 593, 519, 13429, 602, 1757, 1275, 8928, 547, 519, 1318, 267, 543, 593, 519, 824, 10054, 5892, 2016, 267, 568, 1100, 269, 968, 4002, 1142, 5180, 267, 519, 2250, 2418, 540, 476, 272, 543, 476, 273, 2625, 8494, 12264, 5352, 519, 2104, 1871, 540, 476, 272, 267, 543, 1287, 14384, 2625, 8494, 12264, 5352, 519, 2104, 1871, 540, 476, 273, 1848, 1924, 2899, 649, 723, 700, 272, 543, 700, 273, 267, 789, 5352, 631, 272, 10446, 540, 875, 789, 5352, 631, 273, 563, 3719, 952, 649, 1705, 917, 681, 272, 610, 681, 273, 267, 1287, 267, 593, 519, 10054, 267, 1565, 631, 272, 1131, 2285, 721, 1344, 827, 631, 273, 269, 20965, 20118, 267, 952, 649, 4769, 1406, 917, 700, 272, 610, 700, 273, 267, 1287, 631, 272, 1058, 2285, 721, 1344, 827, 631, 273, 267, 1317, 689, 519, 1198, 631, 272, 649, 666, 18505, 519, 1533, 540, 922, 3123, 700, 272, 543, 700, 273, 267, 543, 1287, 576, 519, 1198, 540, 700, 272, 13624, 273, 593, 631, 273, 563, 12552, 547, 281, 19375, 9652, 267, 6424, 13428, 576, 267, 19151, 21862, 839, 267, 3807, 514, 1744, 334, 767, 664, 267, 1656, 337, 15530, 8125, 9366, 22859, 714, 267, 700, 3554, 6601, 516, 2023, 267, 543, 2037, 686, 4302, 4425, 329, 528, 4302, 345, 585, 741, 4555, 827, 5039, 531, 942, 543, 922, 2009, 6310, 24598, 25751, 269, 1656, 547, 21238, 334, 4406, 591, 1372, 585, 15738, 803, 547, 519, 8210, 331, 836, 523, 1982, 267, 627, 454, 289, 9506, 2494, 568, 835, 3018, 2476, 267, 865, 594, 23125, 594, 1131, 2671, 513, 16517, 2856, 594, 4076, 1044, 11876, 8973, 602, 1223, 1291, 547, 513, 14736, 12431, 8738, 940, 2494, 16654, 20369, 32676, 545, 1148, 10380, 269, 1403, 594, 723, 519, 942, 543, 2200, 547, 798, 865, 267, 594, 949, 1256, 2119, 547, 8915, 713, 2856, 538, 1483, 1272, 693, 930, 1448, 563, 32481, 519, 942, 594, 729, 1603, 634, 15214, 26382, 16387, 540, 20336, 307, 23800, 630, 22396, 269, 18379, 276, 264, 594, 3459, 6998, 8885, 875, 547, 948, 1004, 1020, 513, 1745, 585, 1018, 621, 568, 899, 547, 9468, 1875, 7232, 16090, 22470, 5039, 531, 5624, 269, 594, 2663, 1336, 856, 602, 8361, 21540, 9007, 2919, 606, 15138, 15283, 1995, 538, 799, 596, 666, 2263, 476, 274, 291, 5409, 26382, 5624, 269, 2334, 568, 9735, 267, 543, 513, 1390, 1900, 538, 519, 1318, 4287, 269, 1809, 594, 4941, 547, 1294, 952, 972, 729, 1022, 1259, 585, 721, 547, 1995, 476, 274, 291, 5409, 26382, 9511, 538, 513, 1570, 1259, 1510, 519, 5351, 540, 5904, 269, 23985, 602, 596, 1223, 3180, 538, 707, 1688, 267, 899, 513, 4990, 540, 25386, 993, 340, 2280, 602, 1568, 607, 513, 12576, 540, 519, 5318, 1145, 540, 519, 1533, 1606, 10628, 540, 9637, 563, 1432, 594, 1185, 538, 2247, 729, 2059, 519, 3515, 540, 875, 649, 666, 267, 538, 513, 2631, 267, 14650, 12808, 630, 292, 16090, 22470, 264, 2230, 1210, 1079, 6252, 19141, 269, 594, 2219, 602, 6148, 972, 1223, 581, 513, 1259, 547, 798, 519, 1482, 855, 538, 513, 1259, 602, 3308, 3278, 513, 5409, 26382, 2230, 563, 3080, 8862, 599, 19257, 5558, 543, 476, 274, 291, 6611, 6363, 3739, 25609, 454, 14738, 1631, 596, 666, 946, 835, 17574, 19141, 593, 519, 5011, 540, 513, 4874, 1117, 571, 4171, 8728, 616, 11251, 609, 27178, 547, 1711, 513, 4241, 968, 8882, 9548, 2230, 1198, 892, 912, 1607, 568, 711, 519, 2013, 538, 5409, 26382, 2230, 267, 1498, 282, 17062, 2834, 4874, 1117, 571, 666, 512, 525, 1088, 622, 476, 274, 291, 5409, 26382, 5624, 269, 1280, 3236, 267, 835, 666, 946, 546, 1712, 8619, 1117, 571, 676, 7446, 741, 2450, 14013, 538, 971, 513, 1259, 602, 789, 782, 723, 476, 3445, 4110, 5086, 15174, 630, 22396, 269, 3502, 918, 2254, 2187, 22818, 267, 594, 2219, 547, 8885, 267, 972, 568, 513, 1259, 547, 9308, 8275, 5409, 26382, 22441, 543, 5512, 721, 547, 1294, 1018, 621, 568, 899, 547, 2661, 538, 513, 1747, 538, 799, 546, 1712, 8619, 1117, 571, 512, 525, 1088, 622, 2230, 269, 594, 6854, 3206, 827, 713, 1966, 267, 543, 835, 1554, 1247, 14964, 519, 645, 11286, 543, 22161, 1051, 532, 593, 519, 9511, 540, 3280, 267, 594, 7691, 602, 835, 1223, 946, 13506, 268, 8161, 25852, 547, 1711, 513, 4396, 538, 799, 1769, 1790, 23411, 13789, 607, 952, 519, 2230, 729, 5409, 26382, 563, 294, 2784, 1304, 268, 8161, 25852, 568, 519, 1016, 7615, 540, 25852, 602, 24870, 538, 519, 946, 540, 2326, 602, 723, 513, 5347, 1875, 268, 6247, 656, 31659, 4994, 269, 2290, 1259, 547, 3035, 713, 568, 547, 11100, 1079, 12001, 2326, 630, 324, 3052, 269, 1079, 5686, 540, 5068, 264, 538, 971, 513, 1259, 602, 519, 5834, 540, 1142, 1826, 9775, 12347, 689, 835, 3148, 547, 519, 1985, 269, 1306, 513, 12343, 267, 1769, 12599, 538, 8966, 543, 18846, 344, 2081, 267, 899, 713, 912, 12507, 5255, 4435, 27240, 1304, 268, 19340, 4676, 3555, 454, 12507, 5255, 4435, 27240, 1304, 268, 19340, 4676, 3555, 454, 300, 1468, 1944, 15214, 26382, 28805, 454, 3528, 5402, 8939, 1585, 12001, 15229, 609, 1114, 17523, 540, 1201, 3555, 543, 16471, 873, 538, 513, 476, 274, 291, 17002, 538, 10502, 519, 1318, 17114, 267, 835, 666, 538, 6240, 1628, 17571, 538, 799, 519, 13506, 268, 8161, 3601, 540, 519, 1439, 1587, 8216, 5573, 513, 5409, 26382, 11973, 269, 1403, 835, 941, 547, 1747, 519, 1570, 609, 519, 9803, 1201, 3555, 4994, 693, 519, 1360, 4099, 538, 513, 546, 1712, 8619, 28353, 543, 1039, 2326, 540, 5051, 3677, 31659, 17523, 782, 519, 1259, 909, 547, 519, 15174, 267, 1287, 519, 3803, 1198, 1223, 581, 835, 538, 799, 519, 546, 1712, 8619, 28353, 814, 606, 9703, 538, 799, 1769, 7575, 607, 952, 621, 941, 538, 513, 5409, 26382, 2230, 269, 2290, 666, 1287, 1747, 10896, 17446, 2059, 519, 8728, 543, 13021, 519, 5011, 609, 835, 17574, 6885, 4670, 269, 10753, 7146, 15515, 3835, 267, 835, 1131, 1287, 3833, 12777, 581, 2111, 547, 968, 3835, 20581, 538, 519, 13869, 540, 707, 1688, 892, 912, 296, 1589, 602, 713, 4990, 540, 31942, 1131, 1450, 721, 547, 1020, 1732, 11521, 1431, 585, 1018, 519, 2484, 13050, 630, 23024, 21377, 264, 5624, 1004, 968, 6665, 527, 892, 593, 20369, 32676, 923, 1413, 899, 269, 2290, 666, 1287, 267, 538, 1840, 267, 2489, 1125, 713, 547, 1118, 2230, 13789, 607, 952, 922, 476, 274, 291, 22441, 729, 1875, 268, 6247, 656, 269, 2290, 1522, 1256, 267, 5310, 267, 581, 2111, 547, 14650, 513, 3109, 3620, 1961, 676, 900, 6819, 922, 2680, 268, 1817, 714, 517, 1210, 513, 3148, 609, 5393, 1804, 31659, 4994, 563, 296, 1131, 899, 547, 9959, 676, 6236, 930, 540, 519, 2591, 602, 649, 1131, 3068, 3843, 547, 4020, 713, 269, 1280, 3236, 267, 4466, 519, 1318, 2326, 949, 581, 2352, 1317, 789, 1131, 991, 547, 723, 513, 2647, 2039, 540, 31659, 17523, 267, 782, 581, 13974, 12001, 267, 2111, 547, 12347, 11100, 609, 1142, 824, 267, 543, 723, 1970, 13621, 2798, 269, 594, 993, 711, 513, 1570, 10196, 267, 855, 1250, 8937, 4743, 568, 602, 713, 568, 711, 4867, 7543, 269, 7073, 13506, 268, 8161, 25852, 2907, 814, 513, 2864, 11141, 1377, 540, 8856, 563, 5194, 4161, 2501, 689, 519, 6571, 540, 519, 476, 274, 291, 17002, 269, 7073, 476, 274, 291, 23252, 723, 6106, 609, 513, 11098, 1063, 1547, 273, 547, 476, 271, 269, 28276, 7825, 269, 898, 779, 2009, 602, 713, 568, 3274, 711, 1507, 2614, 547, 2057, 7298, 19944, 340, 885, 538, 519, 1769, 1790, 23411, 269, 2311, 2547, 538, 6240, 713, 1223, 581, 1147, 25236, 539, 676, 13621, 519, 2063, 4494, 5116, 971, 602, 519, 1007, 4494, 12347, 886, 4926, 543, 13148, 24025, 609, 621, 538, 13076, 609, 519, 5551, 5409, 26382, 11973, 563, 2304, 1271, 13946, 520, 568, 602, 519, 5420, 538, 799, 649, 2661, 630, 328, 4318, 269, 2011, 693, 11626, 2604, 264, 568, 711, 1360, 10053, 547, 2253, 609, 269, 769, 519, 1383, 540, 519, 546, 1712, 8619, 1117, 571, 267, 713, 949, 2099, 513, 1966, 6236, 602, 519, 15174, 991, 547, 1106, 476, 3445, 4110, 7285, 689, 519, 1448, 540, 2070, 540, 606, 3544, 20626, 269, 901, 1131, 17538, 602, 519, 4478, 5420, 2115, 547, 723, 513, 2362, 1201, 3555, 4994, 982, 602, 540, 519, 12001, 5420, 693, 519, 15174, 269, 901, 1223, 581, 6378, 676, 9284, 532, 519, 1843, 538, 1216, 610, 930, 824, 10053, 2923, 630, 663, 8888, 621, 896, 519, 13429, 540, 1373, 11303, 676, 971, 513, 5420, 1040, 17968, 267, 835, 666, 3274, 4368, 519, 1966, 676, 1210, 14013, 17208, 5011, 538, 9114, 340, 540, 2786, 14742, 269, 901, 949, 711, 581, 607, 8353, 24312, 13267, 267, 1498, 267, 865, 621, 949, 2628, 1055, 547, 16540, 824, 15931, 4485, 547, 4308, 609, 713, 602, 594, 10093, 1406, 2219, 540, 563, 6781, 913, 782, 267, 5310, 519, 1034, 2352, 4161, 1131, 581, 602, 540, 7231, 609, 519, 17149, 4527, 540, 6985, 1738, 32623, 5928, 912, 301, 5535, 4149, 1051, 5300, 27240, 1304, 268, 19340, 4676, 3555, 454, 289, 5802, 4149, 1051, 5300, 27240, 1304, 268, 19340, 4676, 3555, 454, 7712, 519, 4110, 547, 799, 513, 1769, 1790, 987, 536, 1742, 538, 513, 5420, 5673, 593, 922, 4908, 267, 875, 18846, 344, 1769, 5654, 899, 609, 13506, 268, 8161, 25852, 568, 4756, 269, 1403, 519, 27178, 5116, 693, 519, 8728, 540, 519, 4874, 1117, 571, 616, 3043, 267, 649, 1223, 2503, 1360, 7298, 1253, 25344, 543, 21173, 22774, 3270, 547, 10836, 269, 901, 1131, 5310, 581, 585, 519, 1732, 950, 3144, 585, 922, 12716, 1871, 269, 1809, 2094, 519, 5551, 1198, 568, 835, 540, 2965, 1570, 1944, 5132, 2685, 519, 2623, 540, 1769, 538, 5409, 26382, 2230, 267, 713, 1131, 581, 24379, 269, 634, 15864, 1259, 547, 4308, 609, 713, 1966, 1131, 581, 547, 1397, 519, 31942, 538, 513, 4158, 2989, 4055, 543, 723, 1152, 1395, 5255, 4435, 27178, 593, 519, 8728, 540, 519, 4874, 1117, 571, 4171, 4908, 568, 22934, 547, 519, 31659, 13506, 585, 799, 519, 11973, 568, 5409, 26382, 269, 2859, 535, 4545, 3814, 569, 267, 621, 1522, 581, 2009, 547, 7753, 6985, 1738, 32623, 5928, 609, 519, 946, 540, 1558, 600, 17467, 630, 22396, 269, 968, 18404, 553, 584, 5865, 5512, 4824, 9804, 7828, 2773, 2108, 1040, 1325, 553, 267, 1250 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 762, 593, 513, 17079, 548, 610, 5973, 1836, 593, 513, 25041, 564, 1510, 3001, 519, 17901, 269, 3962, 6640, 513, 17079, 2401, 1131, 3280, 834, 2026, 12273, 540, 645, 1872, 6840, 1701, 2311, 713, 5365, 267, 782, 519, 17079, 6840, 1131, 2097, 1927, 693, 741, 19524, 779, 17895, 269, 17652, 267, 834, 2026, 12273, 257, 26017, 519, 7980, 547, 1106, 16034, 543, 1796, 693, 3007, 585, 5066, 1289, 269, 5272, 10279, 1472, 3786, 1185, 922, 1378, 17079, 548, 1289, 267, 543, 2094, 29816, 1185, 9640, 547, 1413, 1310, 267, 789, 4862, 7466, 607, 1082, 6786, 607, 2834, 26462, 563, 257, 22517, 1824, 543, 590, 5417, 956, 257, 729, 519, 1034, 16122, 540, 891, 6786, 543, 1185, 606, 18546, 4328, 1198, 593, 3786, 269, 898, 729, 32131, 1510, 9963, 693, 1022, 942, 540, 1554, 610, 3781, 267, 543, 2366, 519, 2367, 10760, 547, 16491, 2933, 543, 741, 4410, 338, 269, 769, 1840, 267, 17079, 6840, 20794, 539, 5528, 689, 10492, 547, 7980, 1282, 6370, 269, 645, 1872, 548, 7125, 12261, 4971, 619, 262, 9753, 883, 2962, 593, 519, 4395, 3515, 269, 645, 1872, 548, 6786, 1223, 4051, 519, 2754, 547, 3619, 28644, 267, 1677, 519, 19382, 267, 1677, 519, 9406, 267, 6168, 267, 681, 958, 593, 519, 12751, 267, 570, 8527, 267, 11829, 641, 267, 2155, 775, 674, 3931, 267, 2598, 704, 572, 267, 4728, 267, 543, 9919, 848, 9605, 563, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 563, 396, 350, 9261, 269, 476, 25000, 7549, 21833, 3264, 11714, 18194, 31589, 15671, 4138, 17153, 11012, 6459, 13833, 3522, 4814, 9326, 17153, 912, 289, 1872, 548, 1289, 2443, 589, 17079, 548, 1289, 568, 513, 2110, 19820, 267, 23608, 607, 513, 4108, 5365, 3045, 23395, 16516, 543, 1978, 1875, 16516, 2621, 593, 513, 4108, 10380, 267, 25071, 267, 610, 6928, 269, 25214, 17079, 548, 7125, 8612, 519, 1689, 538, 3232, 13467, 540, 3786, 269, 3962, 2507, 2560, 9504, 454, 30132, 548, 1289, 2443, 10902, 513, 5365, 13739, 676, 519, 3280, 540, 513, 17079, 548, 3040, 15214, 5500, 916, 281, 20875, 338, 793, 531, 267, 20875, 338, 793, 2718, 267, 20875, 338, 793, 3040, 14523, 11618, 281, 20875, 13440, 718, 267, 20875, 339, 2355, 267, 20875, 7547, 856, 267, 20875, 516, 557, 4068, 267, 20875, 2560, 2422, 995, 7005, 8675, 454, 13434, 718, 2443, 949, 3277, 547, 17041, 29410, 11291, 2608, 13434, 718, 9550, 2608, 4131, 614, 547, 11291, 2366, 547, 2132, 606, 5605, 26513, 689, 513, 2197, 267, 2901, 607, 513, 20320, 13889, 610, 1317, 519, 17009, 520, 568, 1373, 15260, 11220, 11992, 543, 568, 1373, 8719, 676, 1776, 26195, 1195, 2608, 13434, 718, 547, 2507, 2560, 9504, 454, 13434, 718, 2443, 1234, 265, 322, 718, 2073, 562, 269, 476, 272, 269, 589, 10912, 1394, 282, 513, 2847, 6327, 269, 1496, 4489, 274, 28732, 316, 570, 568, 2944, 267, 543, 2094, 512, 568, 2944, 267, 512, 568, 2250, 11291, 269, 16959, 6577, 269, 1496, 4489, 274, 28732, 316, 476, 273, 269, 630, 300, 559, 4700, 589, 1289, 593, 519, 25041, 564, 267, 17079, 548, 267, 610, 14941, 267, 676, 799, 7980, 616, 27416, 689, 10279, 267, 4074, 267, 3092, 269, 30247, 269, 2507, 2560, 634, 20985, 4139, 9218, 540, 2296, 454, 13440, 718, 540, 16324, 3664, 2443, 31962, 1234, 265, 322, 718, 2073, 562, 269, 476, 272, 269, 589, 10912, 1394, 282, 513, 2847, 6327, 269, 1496, 4489, 274, 28732, 316, 570, 568, 2944, 267, 543, 2094, 512, 568, 2944, 267, 512, 568, 2250, 11291, 269, 16959, 6577, 269, 1496, 4489, 274, 28732, 316, 476, 273, 269, 630, 300, 559, 4700, 589, 1289, 593, 519, 25041, 564, 267, 17079, 548, 267, 610, 14941, 267, 676, 799, 7980, 616, 27416, 689, 10279, 267, 4074, 267, 3092, 269, 2507, 2560, 634, 20985, 4139, 9218, 540, 2296, 454, 322, 718, 2443, 1315, 330, 389, 498, 331, 1315, 630, 25669, 737, 1177, 331, 264, 8231, 630, 339, 264, 476, 272, 269, 547, 3956, 856, 538, 513, 10978, 5639, 269, 476, 273, 269, 630, 1993, 513, 6177, 610, 824, 3662, 264, 547, 19039, 630, 1080, 8984, 3956, 1040, 476, 274, 269, 547, 14773, 282, 605, 8010, 281, 547, 1289, 513, 26699, 269, 476, 275, 269, 547, 1224, 936, 630, 320, 5066, 610, 1592, 264, 538, 513, 10978, 5639, 269, 476, 276, 269, 547, 4482, 519, 3007, 540, 2560, 8241, 2296, 8675, 454, 322, 718, 909, 2443, 14271, 11618, 543, 1644, 1913, 281, 20714, 267, 513, 701, 267, 2408, 899, 267, 1935, 267, 16977, 267, 513, 709, 572, 267, 31174, 720, 267, 10198, 267, 25805, 267, 32570, 267, 581, 899, 267, 581, 2699, 565, 550, 540, 267, 7703, 11696, 28917, 267, 10726, 519, 27120, 267, 19915, 2097, 267, 9514, 519, 1071, 1023, 267, 9514, 909, 267, 3142, 827, 267, 3142, 1394, 267, 3142, 2507, 2560, 22994, 344, 634, 28445, 454, 322, 718, 2443, 14271, 11618, 543, 1644, 1913, 281, 19664, 639, 267, 19664, 639, 11350, 267, 667, 24884, 267, 13173, 267, 2232, 267, 7755, 4851, 267, 740, 636, 24260, 267, 15372, 267, 620, 30946, 267, 27559, 618, 267, 3662, 6846, 267, 24970, 267, 24970, 909, 267, 24970, 1027, 757, 267, 19980, 956, 1222, 267, 19980, 5268, 1125, 267, 9029, 267, 9029, 547, 267, 813, 571, 1047, 267, 5660, 267, 2507, 2560, 22994, 344, 634, 28445, 454, 322, 718, 2443, 1496, 330, 20110, 331, 316, 642, 339, 269, 1496, 10933, 1289, 523, 2999, 17623, 31643, 2781, 718, 1014, 1299, 610, 2999, 10396, 737, 718, 320, 2999, 594, 292, 3490, 2608, 7523, 2073, 547, 3458, 600, 267, 695, 686, 2131, 3436, 21563, 628, 4577, 7523, 342, 267, 1289, 267, 15168, 737, 331, 720, 1299, 630, 24047, 24696, 337, 7086, 267, 2220, 534, 316, 476, 272, 269, 547, 2161, 610, 1224, 538, 513, 10978, 3159, 282, 22551, 282, 14773, 1496, 1729, 1289, 519, 4408, 540, 10473, 316, 476, 273, 269, 2507, 2560, 2296, 2622, 8675, 454, 13440, 718, 2443, 1496, 686, 737, 20110, 331, 12664, 282, 9948, 849, 267, 1299, 585, 562, 269, 1299, 642, 339, 269, 476, 275, 2356, 1496, 267, 678, 25207, 12664, 330, 20110, 331, 394, 482, 316, 642, 339, 269, 476, 272, 269, 547, 1289, 1394, 282, 2307, 610, 1931, 547, 2132, 282, 1179, 604, 1421, 547, 2307, 4136, 553, 619, 547, 2132, 630, 534, 20541, 610, 5906, 1587, 1070, 1419, 865, 602, 513, 5663, 8919, 666, 581, 22621, 476, 273, 269, 547, 3142, 1394, 2507, 2560, 2296, 2622, 8675, 0, 2704, 4022, 923, 32088, 590, 15085, 21436, 17352, 543, 24720, 454, 2704, 4022, 923, 32088, 630, 8150, 264, 568, 606, 3486, 8994, 5351, 31776, 609, 519, 7150, 3483, 540, 7175, 922, 2818, 547, 834, 560, 599, 865, 828, 543, 948, 824, 4568, 923, 3035, 865, 321, 686, 1214, 1701, 21191, 568, 1875, 2889, 32216, 267, 1582, 23418, 15659, 267, 543, 3284, 11823, 269, 4706, 1152, 15376, 10421, 568, 513, 7287, 547, 3247, 6704, 269, 634, 21191, 1982, 540, 6051, 568, 1305, 8521, 538, 519, 3828, 10679, 17778, 563, 8150, 729, 8547, 538, 476, 4350, 276, 538, 13019, 1258, 267, 11882, 950, 835, 23931, 267, 9291, 14355, 267, 14437, 547, 1776, 23931, 267, 7585, 8055, 267, 827, 519, 2470, 540, 29015, 543, 513, 2009, 3070, 269, 2060, 519, 948, 540, 824, 2038, 2818, 267, 519, 1433, 15850, 923, 32088, 281, 634, 9452, 540, 1215, 2859, 20537, 2290, 25569, 9093, 5620, 5589, 2642, 3245, 15850, 1143, 729, 2854, 538, 476, 4350, 280, 269, 4706, 2140, 2968, 519, 2012, 540, 519, 3919, 543, 568, 1631, 2356, 5219, 547, 607, 834, 763, 8262, 3883, 8487, 8150, 781, 3355, 3828, 10679, 26492, 941, 5189, 538, 476, 3707, 277, 547, 948, 519, 31776, 581, 7123, 543, 19618, 1247, 771, 1263, 3042, 689, 834, 719, 2515, 2152, 257, 543, 7506, 563, 763, 26492, 4363, 602, 2818, 2611, 20822, 538, 1857, 2923, 267, 5621, 745, 12264, 948, 824, 4568, 923, 267, 543, 602, 21191, 2516, 2057, 4013, 28930, 725, 609, 824, 3906, 269, 1358, 849, 18973, 1996, 2915, 2742, 543, 28170, 633, 25327, 269, 4427, 2425, 550, 8593, 3298, 4721, 971, 607, 715, 2117, 18352, 32088, 723, 9862, 519, 3828, 10679, 17778, 543, 519, 3828, 10679, 26492, 547, 741, 9757, 3119, 5301, 563, 8150, 15376, 814, 2094, 3262, 18368, 834, 659, 1484, 3309, 4529, 8066, 1114, 4978, 543, 2418, 2580, 1519, 23786, 2127, 11259, 547, 29065, 5322, 269, 19171, 547, 1079, 2929, 1004, 5001, 616, 6059, 547, 581, 2818, 540, 21191, 607, 540, 476, 1001, 277, 563, 8512, 540, 513, 1650, 2854, 676, 18637, 686, 16279, 3794, 6471, 1572, 2485, 357, 763, 7054, 16884, 640, 540, 15850, 923, 32088, 382, 357, 11540, 585, 634, 9533, 2676, 2704, 4022, 923, 32088, 568, 28020, 2352, 547, 1353, 269, 1635, 13766, 267, 621, 8952, 1100, 5638, 540, 945, 1140, 1742, 11401, 282, 2818, 2097, 543, 979, 543, 616, 267, 540, 1576, 267, 20822, 269, 3143, 598, 5477, 1239, 2291, 593, 875, 1134, 621, 1568, 269, 769, 476, 1220, 277, 267, 519, 3213, 577, 8735, 21664, 267, 513, 1072, 13282, 1382, 1895, 267, 12649, 2090, 2469, 1394, 547, 519, 476, 3422, 271, 338, 543, 1336, 602, 968, 7224, 8097, 2090, 796, 25406, 665, 958, 7152, 519, 7145, 540, 21191, 610, 1496, 1321, 9912, 316, 4485, 585, 4227, 4568, 13829, 610, 2042, 3034, 763, 8262, 3883, 2882, 606, 25195, 1101, 1500, 538, 519, 2034, 7160, 267, 799, 729, 3370, 538, 476, 4198, 276, 281, 602, 21191, 814, 5249, 585, 476, 4037, 2600, 540, 1004, 945, 723, 8854, 547, 11401, 543, 968, 516, 958, 6836, 1848, 898, 3081, 602, 476, 2004, 2600, 3893, 865, 828, 1318, 2476, 267, 543, 1776, 476, 1839, 2600, 17388, 585, 513, 1247, 855, 5555, 16626, 269, 4340, 547, 21191, 267, 891, 5515, 616, 1759, 593, 2818, 685, 2833, 563, 1103, 1010, 2487, 1433, 267, 634, 1924, 828, 18266, 281, 13891, 6064, 532, 519, 14068, 3163, 19992, 476, 1321, 28157, 15789, 543, 519, 23488, 12752, 267, 700, 766, 667, 3941, 267, 513, 19622, 2618, 17226, 7548, 689, 12370, 6481, 3427, 267, 6743, 693, 15850, 923, 32088, 779, 12802, 3928, 2059, 609, 2090, 593, 865, 321, 686, 1214, 543, 3928, 540, 3742, 9525, 630, 3430, 2056, 11401, 5781, 543, 2324, 519, 1982, 264, 1851, 21191, 2818, 269, 9122, 593, 891, 1239, 267, 646, 2322, 21191, 779, 4890, 1967, 2557, 12341, 1063, 476, 276, 543, 476, 279, 2600, 269, 2334, 568, 1175, 513, 11315, 7447, 267, 855, 621, 779, 519, 1034, 5730, 835, 594, 4076, 1044, 2111, 547, 1265, 563, 296, 6170, 1614, 1296, 15388, 513, 1433, 827, 2021, 543, 4568, 267, 4173, 7454, 268, 11390, 696, 10555, 281, 4208, 6468, 27276, 1765, 4517, 1215, 1358, 2052, 3204, 664, 6513, 267, 799, 729, 3370, 538, 476, 1001, 274, 269, 4438, 602, 942, 267, 594, 11402, 771, 10964, 3971, 689, 7189, 543, 24004, 28748, 1169, 942, 594, 5018, 602, 519, 15850, 923, 32088, 1967, 2557, 5526, 547, 29964, 538, 519, 2582, 9704, 269, 1284, 4076, 6738, 865, 26224, 547, 16499, 517, 10118, 689, 1346, 945, 2161, 21191, 10710, 741, 1272, 602, 649, 1491, 519, 1982, 779, 12117, 607, 606, 2376, 540, 5132, 269, 27824, 569, 798, 649, 5873, 689, 1346, 585, 7247, 476, 1321, 9912, 2126, 3085, 1406, 960, 269, 1809, 1589, 827, 621, 281, 1215, 1082, 28245, 666, 596, 2012, 945, 536, 6407, 538, 543, 856, 540, 11222, 1510, 2479, 3478, 1732, 286, 4208, 798, 649, 8263, 789, 8959, 519, 1982, 267, 2864, 982, 602, 519, 1982, 8959, 873, 888, 2691, 1250, 1433, 3357, 856, 267, 19421, 540, 15850, 923, 32088, 2818, 1767, 602, 1317, 594, 1185, 13934, 21191, 779, 3409, 540, 513, 476, 4037, 2600, 1967, 2557, 267, 594, 1131, 10413, 610, 1256, 6146, 1004, 676, 1167, 15758, 20343, 693, 11401, 269, 589, 1906, 29739, 602, 594, 1590, 581, 606, 968, 531, 4022, 545, 538, 24677, 1848, 1809, 1034, 540, 519, 1004, 594, 4862, 689, 941, 26525, 547, 2995, 803, 827, 741, 2833, 538, 519, 1977, 2126, 2872, 269, 25138, 10557, 595, 1195, 267, 519, 2278, 540, 519, 17728, 3245, 12280, 1684, 594, 3487, 281, 1215, 594, 6154, 539, 3733, 1345, 3245, 24251, 267, 5143, 803, 827, 1200, 5216, 15143, 547, 11222, 267, 4358, 693, 2085, 476, 1724, 269, 968, 2005, 779, 899, 3478, 519, 1482, 15084, 585, 513, 11259, 3968, 1765, 324, 697, 2053, 2223, 1352, 5143, 803, 269, 968, 9989, 602, 1118, 2631, 18313, 2080, 779, 513, 2022, 827, 513, 12404, 748, 1381, 1572, 15850, 923, 32088, 269, 901, 3919, 602, 3081, 621, 6499, 547, 948, 1004, 609, 2042, 568, 513, 1483, 18896 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 741, 9101, 689, 1296, 540, 24279, 1500, 585, 1866, 269, 3767, 267, 5185, 609, 1776, 32252, 3512, 267, 4460, 9289, 2436, 11319, 4464, 1131, 1291, 547, 25863, 610, 2417, 1303, 3402, 618, 538, 741, 14196, 780, 5445, 4956, 547, 1935, 15891, 13124, 267, 20604, 519, 4220, 3238, 269, 4256, 3375, 10630, 741, 4835, 9620, 9789, 3586, 512, 1872, 6361, 21351, 1063, 1582, 16531, 543, 25796, 1145, 269, 1656, 4352, 519, 6364, 7283, 7334, 267, 835, 3364, 729, 2312, 281, 713, 1995, 1131, 4734, 513, 9434, 1764, 593, 1312, 540, 873, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 2108, 3674, 972, 1022, 1880, 942, 540, 519, 1032, 950, 519, 4365, 568, 4998, 585, 9205, 2238, 538, 623, 2077, 2088, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 2123, 2833, 267, 855, 1759, 593, 519, 20296, 2175, 267, 519, 1655, 942, 547, 3643, 623, 2077, 2088, 585, 9205, 2238, 568, 1282, 519, 3275, 540, 2904, 547, 5181, 950, 519, 4365, 568, 6140, 3636, 543, 13566, 609, 8766, 11811, 269, 634, 5210, 2039, 1063, 476, 736, 268, 1789, 5232, 17622, 1282, 891, 3275, 267, 1818, 621, 3501, 585, 2238, 971, 607, 19482, 267, 15203, 267, 543, 8289, 572, 4370, 269, 1717, 267, 621, 781, 1271, 547, 4063, 602, 519, 4365, 666, 581, 20437, 267, 543, 621, 781, 2141, 513, 1434, 2856, 547, 2638, 519, 9472, 1354, 4058, 1022, 9205, 2238, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 769, 1931, 547, 1174, 519, 1950, 4205, 1063, 1480, 2238, 543, 2620, 5498, 320, 5054, 267, 621, 568, 1898, 547, 1101, 9787, 519, 4909, 4162, 540, 891, 21792, 9249, 269, 12213, 5498, 320, 5054, 267, 3989, 607, 1346, 4540, 2630, 476, 1220, 7397, 267, 3382, 811, 982, 476, 4792, 260, 540, 3047, 781, 2627, 543, 3984, 513, 3309, 5044, 540, 7103, 9862, 547, 3665, 2175, 971, 607, 1164, 2604, 267, 1970, 5210, 267, 543, 3908, 1769, 8244, 269, 1452, 5054, 666, 581, 2417, 5258, 883, 1585, 10851, 1519, 519, 536, 4331, 531, 267, 705, 903, 15680, 267, 543, 1185, 531, 10851, 267, 1142, 6353, 676, 3982, 2168, 3601, 543, 2249, 14778, 780, 28308, 5498, 320, 5054, 1404, 2629, 5107, 1369, 7286, 8134, 267, 3246, 7226, 585, 3875, 7103, 267, 7700, 547, 2518, 6915, 613, 12950, 9979, 267, 543, 7674, 607, 23854, 540, 9265, 269, 1717, 267, 789, 2611, 7925, 547, 1480, 5222, 1813, 547, 741, 3500, 2208, 3928, 267, 17866, 2470, 267, 543, 3448, 10072, 269, 9182, 267, 972, 814, 1044, 2810, 6161, 3823, 519, 6940, 540, 2620, 5498, 320, 2200, 543, 519, 13766, 585, 2500, 2359, 2994, 780, 3080, 1883, 3815, 12018, 2620, 5498, 320, 5054, 568, 2916, 1689, 269, 1306, 8511, 9362, 18645, 538, 519, 5790, 267, 26869, 2837, 14380, 267, 4611, 538, 8143, 7269, 543, 12012, 5836, 10009, 3270, 269, 901, 5012, 547, 10593, 538, 2249, 3892, 267, 7607, 23229, 267, 5135, 22930, 267, 543, 2799, 3679, 2305, 269, 1280, 3236, 267, 513, 1353, 3370, 538, 7186, 8693, 7827, 7000, 602, 930, 2620, 5498, 320, 2249, 723, 2907, 17146, 741, 9832, 20733, 676, 1896, 4627, 7397, 1813, 547, 8337, 7297, 269, 3958, 267, 4389, 9063, 2157, 3361, 676, 2799, 3327, 8166, 10338, 21279, 18287, 4328, 7103, 899, 27712, 543, 32729, 267, 10556, 532, 11818, 5250, 543, 19249, 1426, 11800, 780, 5194, 1713, 2566, 528, 18363, 2620, 5498, 320, 1949, 568, 27643, 5533, 269, 1773, 10415, 267, 5230, 8407, 267, 10770, 5214, 14107, 267, 543, 3282, 29908, 782, 10460, 6937, 547, 2620, 5498, 320, 1272, 269, 589, 2487, 7634, 4362, 2890, 27415, 5536, 693, 17909, 3152, 982, 476, 1015, 5998, 267, 25967, 1681, 519, 2484, 23568, 4539, 540, 3653, 12871, 2853, 269, 5047, 267, 5599, 4238, 13389, 7777, 11656, 2127, 949, 1267, 538, 11159, 726, 6979, 1159, 1278, 532, 4478, 9249, 267, 16089, 6757, 6464, 267, 543, 23892, 10347, 2950, 780, 1103, 3210, 547, 891, 2591, 267, 3173, 12167, 585, 32687, 4485, 950, 4974, 2620, 5498, 320, 5054, 269, 1635, 9256, 1702, 2066, 10459, 971, 607, 6323, 267, 20569, 267, 7998, 267, 543, 7350, 267, 3744, 2744, 513, 11455, 5133, 593, 1950, 9259, 11200, 532, 1369, 891, 6552, 8134, 269, 3690, 13694, 5698, 6087, 8446, 540, 5348, 25489, 543, 4123, 26160, 1851, 1114, 8639, 1247, 5807, 5499, 3435, 585, 4264, 4199, 13345, 543, 5726, 3646, 780, 288, 6305, 1383, 540, 713, 10319, 6891, 6013, 538, 519, 10661, 540, 1279, 3856, 1382, 5121, 543, 1382, 1102, 2858, 23461, 6131, 547, 14236, 5117, 6384, 269, 9024, 328, 2510, 899, 14889, 9898, 630, 17220, 7043, 12910, 26954, 3194, 3060, 264, 543, 552, 299, 9898, 630, 28158, 7043, 12910, 26954, 3194, 3060, 264, 7520, 20291, 5464, 3292, 6322, 693, 16326, 11029, 13796, 7648, 543, 8901, 3270, 1369, 2620, 5498, 320, 5468, 269, 5015, 267, 5969, 12967, 4066, 971, 607, 20716, 13234, 6472, 267, 14628, 14015, 6472, 267, 543, 4359, 4719, 15971, 2553, 3986, 938, 2702, 547, 2263, 5892, 538, 17739, 1043, 4525, 543, 21264, 6946, 8733, 3347, 780, 2414, 9959, 267, 2620, 5498, 320, 5054, 13822, 4105, 3334, 540, 7286, 8134, 267, 2943, 3068, 20387, 12503, 689, 1312, 20296, 15088, 543, 1463, 1480, 13779, 269, 21091, 543, 1098, 13694, 1382, 7341, 1683, 3407, 4030, 883, 891, 1950, 2152, 267, 7175, 5483, 3375, 6194, 2509, 3743, 19642, 540, 3047, 781, 4102, 23257, 1819, 20281, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1646, 543, 3252, 540, 8134, 543, 741, 6114, 547, 2825, 10256, 616, 20244, 1279, 3856, 3157, 602, 991, 547, 581, 6594, 2059, 27080, 538, 942, 543, 2230, 269, 6820, 27643, 10256, 540, 1689, 2170, 609, 2067, 3157, 267, 4929, 24604, 267, 512, 6235, 2798, 543, 1761, 16839, 538, 1062, 7180, 269, 4329, 267, 1034, 5117, 2533, 616, 9244, 954, 15062, 539, 543, 2154, 513, 3818, 268, 543, 1098, 13694, 1935, 602, 2636, 585, 519, 21800, 2079, 540, 2789, 3157, 543, 3049, 10587, 269, 634, 2825, 10256, 7133, 835, 6389, 616, 849, 3362, 10630, 538, 824, 11890, 269, 25392, 519, 1699, 3573, 2244, 946, 2242, 543, 2916, 1689, 267, 7471, 2090, 1141, 12748, 543, 18714, 8134, 616, 6594, 538, 4999, 616, 2712, 326, 1836, 2838, 269, 634, 4609, 543, 5867, 540, 519, 1279, 3856, 5117, 267, 2565, 7997, 543, 8739, 268, 1815, 1670, 1382, 5121, 543, 1382, 1102, 2858, 23461, 630, 6579, 9898, 267, 552, 299, 9898, 264, 7856, 1472, 519, 8608, 2709, 513, 2189, 1907, 585, 555, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 18904, 13543, 1315, 23270, 338, 1299, 13206, 527, 1846, 1315, 744, 10895, 1299, 1530, 553, 1315, 12213, 4149, 20660, 2037, 4921, 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, 7982, 538, 1250, 2852, 2395, 267, 594, 729, 606, 28048, 31597, 2605, 529, 23331, 6345, 269, 3776, 6280, 1185, 1175, 4646, 922, 1101, 8013, 31597, 2319, 267, 543, 649, 941, 782, 9599, 547, 2099, 938, 1153, 538, 6237, 4663, 23788, 269, 1280, 1346, 14542, 609, 31597, 267, 621, 781, 513, 3728, 19550, 7328, 5473, 1079, 6887, 3843, 547, 6952, 513, 10760, 1167, 538, 519, 18545, 781, 1439, 7997, 1247, 4509, 6891, 540, 519, 3014, 3741, 269, 4595, 972, 616, 1100, 22275, 525, 267, 5716, 1289, 741, 1378, 535, 537, 3149, 543, 2226, 4023, 1404, 780, 3080, 1880, 29658, 11542, 856, 1282, 1250, 942, 593, 519, 2319, 269, 1284, 1336, 6000, 6849, 513, 1379, 5264, 15180, 1107, 1577, 781, 1289, 873, 834, 13750, 257, 1107, 945, 1630, 16556, 1896, 4810, 5716, 543, 9846, 13856, 2199, 19194, 269, 1306, 513, 18960, 2319, 267, 27907, 7012, 1405, 1164, 282, 2705, 267, 649, 7283, 5462, 547, 2322, 909, 513, 4339, 780, 9961, 519, 1554, 267, 1945, 7415, 5949, 269, 6736, 1373, 3648, 1447, 9952, 982, 3557, 267, 938, 17872, 1899, 695, 821, 13085, 569, 269, 5384, 1310, 942, 267, 789, 7307, 547, 20912, 2312, 18176, 8458, 998, 5140, 17568, 267, 2792, 267, 543, 22406, 27497, 269, 1358, 15286, 2653, 3853, 543, 1256, 7142, 3875, 7140, 267, 7175, 721, 547, 3251, 1369, 11495, 3845, 2429, 519, 13292, 269, 898, 8604, 607, 1498, 1169, 4759, 540, 519, 8878, 6956, 741, 1909, 9985, 267, 2324, 24091, 547, 2149, 938, 3804, 1899, 780, 7628, 835, 17970, 1532, 1746, 569, 13029, 4090, 267, 938, 5182, 1219, 2658, 267, 5981, 267, 1500, 513, 20498, 11768, 10544, 547, 18448, 513, 1780, 5497, 585, 3557, 781, 1283, 17513, 269, 22628, 1930, 2230, 6619, 267, 789, 838, 11781, 539, 4724, 519, 6587, 1439, 7997, 1354, 16089, 513, 3532, 2062, 8518, 31300, 2509, 938, 25213, 267, 4611, 538, 606, 27314, 4584, 29350, 256, 2334, 2582, 1404, 5828, 519, 20352, 267, 30740, 938, 14326, 543, 26354, 4126, 1851, 4715, 2209, 780, 3528, 2519, 593, 7303, 8464, 267, 2870, 2490, 13569, 267, 543, 3854, 1944, 593, 9073, 267, 938, 1412, 289, 14482, 600, 262, 8878, 6854, 1142, 3014, 19599, 2673, 1996, 938, 8185, 23163, 17837, 269, 4014, 649, 6038, 4503, 1312, 3756, 267, 938, 17872, 2773, 2451, 3025, 588, 684, 2740, 267, 1519, 3557, 781, 5716, 269, 4256, 16455, 14059, 721, 26063, 267, 22992, 24330, 676, 875, 1134, 649, 5129, 5103, 519, 12918, 30528, 1996, 721, 269, 1261, 26916, 938, 4557, 13369, 543, 7029, 267, 14344, 602, 646, 22821, 1405, 4397, 971, 4187, 689, 513, 5266, 7164, 27805, 780, 1607, 1995, 6026, 803, 3407, 4245, 827, 519, 2956, 540, 9322, 267, 11428, 267, 543, 18468, 538, 13951, 269, 2755, 6151, 13007, 1522, 4163, 1978, 2043, 2417, 7620, 267, 621, 3085, 1405, 10018, 1279, 3856, 1967, 1510, 891, 1898, 7907, 269, 5047, 267, 8508, 13395, 4690, 910, 899, 31597, 2605, 529, 23331, 910, 4847, 803, 547, 1921, 609, 9735, 1004, 543, 1711, 20605, 8823, 269, 1924, 267, 2436, 596, 1265, 3054, 21108, 707, 2319, 781, 8956, 593, 519, 2361, 610, 10188, 1272, 781, 2591, 267, 3314, 602, 18094, 1419, 5012, 547, 9058, 4093, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 24685, 1018, 2081, 1705, 519, 2319, 781, 8878, 3565, 547, 519, 3803, 6060, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 519, 1808, 3877, 540, 519, 6474, 596, 616, 13288, 547, 269, 1717, 267, 538, 2489, 267, 513, 2319, 781, 8878, 666, 3565, 547, 519, 3803, 6060, 538, 519, 1739, 2081, 1384, 272, 269, 16473, 532, 519, 15852, 2319, 689, 18176, 281, 589, 2178, 8878, 666, 2061, 519, 824, 2319, 689, 1818, 15833, 610, 5905, 23957, 267, 799, 666, 948, 1832, 519, 6060, 1970, 543, 538, 3870, 540, 519, 8878, 781, 2319, 780, 273, 269, 12861, 2490, 13569, 281, 6153, 9718, 619, 666, 21102, 519, 3440, 610, 18448, 10596, 267, 799, 666, 2285, 741, 2319, 811, 3255, 547, 6060, 780, 274, 269, 2480, 1681, 2798, 2933, 281, 769, 930, 5026, 267, 899, 14912, 543, 11176, 267, 9718, 619, 666, 6060, 2798, 2933, 676, 1818, 954, 8526, 610, 535, 18443, 9156, 625, 543, 4881, 519, 3440, 1394, 585, 513, 5905, 6658, 780, 275, 269, 18227, 519, 3014, 2673, 281, 4634, 952, 519, 8878, 568, 711, 2047, 7700, 547, 519, 6060, 267, 513, 1434, 8878, 666, 948, 1832, 519, 3014, 2673, 267, 4758, 741, 2319, 513, 4960, 547, 2097, 1394, 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, 763, 1101, 3504, 522, 9805, 545, 3756, 666, 581, 14360, 1394, 547, 522, 9805, 807, 538, 476, 6507, 277, 27652, 2407, 540, 1973, 267, 6612, 543, 9058, 905, 1846, 540, 18942, 14365, 712, 267, 519, 522, 9805, 545, 3756, 941, 519, 23242, 267, 1514, 543, 2686, 5031, 540, 519, 3504, 19967, 11706, 585, 3592, 476, 1321, 5553, 269, 4855, 3594, 543, 1382, 4574, 593, 522, 9805, 545, 3756, 693, 1353, 332, 1712, 1260, 649, 4312, 5280, 6634, 540, 1053, 2094, 476, 1960, 280, 2094, 519, 1101, 522, 9805, 545, 3756, 538, 3504, 575, 872, 576, 1547, 634, 3504, 522, 9805, 545, 3756, 3459, 538, 519, 1032, 476, 6507, 277, 27652, 267, 950, 737, 19660, 756, 657, 267, 513, 3434, 689, 519, 7404, 2749, 540, 1714, 529, 267, 4465, 519, 588, 611, 542, 5198, 267, 513, 3723, 5198, 476, 7785, 3952, 1279, 519, 588, 611, 542, 3950, 693, 522, 9805, 807, 568, 3254, 1934, 2687, 547, 930, 5339, 5389, 267, 713, 729, 519, 1152, 18942, 2680, 540, 519, 3756, 585, 519, 1101, 476, 1724, 522, 9805, 545, 15976, 610, 2394, 476, 278, 2190, 27652, 269, 16727, 3756, 723, 513, 1686, 540, 827, 8938, 5216, 4627, 1296, 789, 941, 1101, 5129, 2282, 4410, 522, 9805, 639, 538, 575, 872, 576, 538, 476, 278, 4281, 27652, 538, 22632, 540, 519, 19967, 5601, 18410, 639, 476, 4375, 272, 1913, 1557, 593, 522, 9805, 545, 3756, 563, 302, 3464, 2089, 657, 568, 519, 1101, 19002, 547, 1167, 731, 1010, 3138, 514, 743, 1054, 693, 519, 522, 9805, 545, 3756, 267, 9591, 519, 15007, 585, 9845, 547, 14526, 21736, 476, 3583, 279, 536, 576, 32702, 543, 519, 20008, 987, 23127, 616, 3773, 547, 519, 8430, 540, 519, 522, 9805, 545, 3756, 1547, 19864, 476, 1220, 279, 522, 9805, 545, 3756, 281, 4410, 522, 9805, 639, 10742, 609, 519, 522, 9805, 923, 543, 513, 2027, 1557, 676, 522, 9805, 923, 4274, 547, 1491, 851, 538, 922, 1101, 522, 9805, 545, 3756, 267, 855, 476, 7367, 1296, 1547, 5131, 1557, 281, 1646, 540, 519, 1101, 522, 9805, 545, 3756, 621, 729, 533, 18824, 632, 4172, 6975, 514, 540, 535, 8896, 945, 5326, 339, 909, 713, 16529, 1788, 267, 4352, 1866, 1354, 1864, 1185, 563, 763, 3504, 19967, 522, 9805, 923, 8547, 519, 3504, 522, 9805, 923, 2943, 519, 1101, 522, 9805, 545, 3756, 941, 4371, 538, 476, 6507, 277, 536, 576, 952, 596, 616, 519, 3312, 5856, 540, 713, 1557, 543, 1547, 634, 1101, 2594, 540, 519, 522, 9805, 545, 3756, 729, 4371, 538, 476, 6507, 277, 27652, 519, 1292, 5026, 941, 519, 20008, 987, 23127, 267, 519, 1226, 652, 6929, 2621, 267, 533, 1678, 1674, 267, 543, 4216, 532, 1557, 593, 2686, 1547, 21396, 998, 942, 519, 1686, 540, 519, 522, 9805, 545, 3756, 689, 519, 942, 950, 18942, 733, 3949, 941, 4371, 1282, 3909, 18428, 2394, 519, 1101, 3486, 1547, 634, 7619, 923, 540, 519, 3504, 522, 9805, 923, 281, 554, 7676, 544, 682, 324, 538, 1010, 1557, 519, 1412, 14140, 262, 522, 9805, 545, 3756, 540, 476, 6507, 277, 3947, 606, 5140, 5758, 540, 519, 7158, 7550, 676, 2413, 1547, 634, 1101, 522, 9805, 923, 519, 522, 9805, 545, 3756, 267, 607, 649, 782, 917, 621, 267, 568, 606, 3486, 23242, 2680, 13296, 9845, 689, 1114, 6082, 7249, 26021, 538, 1931, 547, 14526, 585, 17758, 267, 538, 13977, 2947, 5026, 543, 824, 2185, 4627, 2621, 267, 602, 786, 711, 1152, 2099, 741, 1367, 1983, 543, 15421, 538, 741, 6074, 5026, 267, 855, 786, 849, 4586, 763, 1101, 25954, 540, 519, 3504, 522, 9805, 923, 7018, 538, 693, 2380, 538, 476, 6245, 277, 621, 729, 513, 26093, 26035, 267, 855, 519, 2856, 9863, 513, 1967, 543, 621, 729, 4553, 676, 519, 1612, 529, 522, 9805, 923, 540, 476, 5002, 271, 543, 519, 588, 21514, 529, 1547, 634, 522, 9805, 923, 723, 2965, 1044, 1472, 585, 513, 2603, 540, 942, 968, 3147, 1800, 547, 10828, 267, 519, 3504, 522, 9805, 545, 3756, 941, 8547, 676, 646, 571, 3380, 630, 1492, 19005, 1200, 6047, 1070, 513, 5067, 540, 18410, 639, 2943, 519, 1101, 522, 9805, 545, 3756, 585, 799, 649, 1869, 723, 2854, 5638, 941, 4371, 538, 476, 6507, 277, 536, 576, 630, 2288, 621, 568, 3622, 5156, 602, 519, 3756, 1185, 1044, 2469, 593, 585, 1082, 1296, 1547, 4828, 3504, 19967, 522, 9805, 923, 8989, 2221, 781, 522, 9805, 545, 3756, 568, 899, 513, 6639, 20100, 519, 9845, 14526, 538, 1082, 2621, 267, 741, 2053, 543, 8464, 616, 7381, 1221, 543, 2366, 5001, 676, 15408, 543, 1164, 24289, 5904, 1369, 7643, 269, 634, 8129, 543, 1686, 540, 519, 3504, 522, 9805, 923, 4367, 519, 1101, 3504, 522, 9805, 545, 3756, 666, 581, 14360, 1394, 547, 476, 6507, 277, 27652, 543, 941, 9976, 2394, 476, 4375, 274, 740, 630, 9767, 978, 267, 476, 2735, 278, 1040, 4828, 593, 1646, 540, 519, 1101, 522, 9805, 545, 3756, 519, 1101, 522, 9805, 545, 3756, 621, 729, 533, 18824, 632, 4172, 6975, 514, 540, 535, 8896, 945, 5326, 339, 909, 713, 16529, 1788, 267, 4352, 1866, 1354, 1864, 1185, 6836, 547, 2847, 633, 891, 3756, 1282, 519, 476, 866, 628, 2540, 267, 1510, 2348, 4172, 704, 514, 779, 1967, 563, 763, 3756, 519, 3504, 522, 9805, 545, 3756, 941, 5097, 513, 851, 540, 513, 3909, 13037, 538, 8956, 540, 18410, 639, 267, 519, 4651, 540, 519, 19967, 10971, 543, 15831, 525, 519, 1101, 2413, 1547, 634, 9998, 6325, 4266, 602, 6592, 1686, 3947, 585, 519, 1101, 522, 9805, 923, 568, 519, 522, 9805, 545, 3756, 540, 3504, 575, 872, 576, 543, 1018, 789, 1557, 593, 522, 9805, 545, 3756, 1547, 25397, 543, 2361, 1686, 543, 519, 8129, 540, 519, 7328, 519, 3504, 522, 9805, 545, 3756, 3459, 538, 519, 1032, 476, 6507, 277, 27652, 267, 950, 737, 19660, 756, 657, 267, 513, 3434, 689, 519, 7404, 2749, 540, 1714, 529, 267, 4465, 519, 30806, 5198, 267, 513, 3723, 5198, 476, 7785, 3952, 1279, 269, 634, 522, 9805, 545, 3756, 723, 513, 1279, 1686, 519, 1101, 6592, 522, 9805, 545, 3756, 3576, 1747, 538, 476, 6507, 277, 27652, 1498, 741, 5169, 949, 4266, 1394, 1256, 4505, 2110, 5037, 593, 519, 522, 9805, 545, 3756, 269, 2201, 519, 2063, 1554, 540, 519, 18322, 267, 621, 729, 4956, 602, 519, 1101, 522, 9805, 545, 3756, 547, 2097, 896, 519, 513, 22273, 1182, 540, 519, 1775, 665, 1131, 1491, 1747, 538, 693, 2380, 538, 476, 6245, 277, 563, 13625, 593, 1646, 540, 519, 1101, 522, 9805, 545, 3756, 1646, 540, 519, 1101, 522, 9805, 545, 3756, 621, 729, 533, 18824, 632, 4172, 6975, 514, 540, 535, 8896, 945, 5326, 339, 909, 713, 16529, 1788, 267, 4352, 1866, 1354, 1864, 1185, 6836, 547, 2847, 633, 891, 3756, 1282, 519, 476, 866, 628, 2540, 267, 1510, 2348, 4172, 704, 514, 779, 1967, 269, 32087, 281, 522, 9805, 923, 1557, 5026, 1557, 1543, 12744, 1257, 281, 519, 1101, 522, 9805, 923, 941, 4371, 538, 476, 6507, 277, 27652, 543, 6131, 547, 19967, 10971, 543, 15831, 525, 522, 9805, 807, 729, 519, 3135, 540, 519, 1101, 522, 9805, 545, 3756, 269, 634, 3504, 522, 9805, 923, 941, 1101, 4371, 538, 5215, 540, 1296, 3516, 1063, 12845, 2615, 268, 565, 2096, 334, 923, 7146, 21524, 1716, 268, 565, 2096, 335, 923, 268, 22967, 593, 3017, 1063, 3504, 522, 569, 15879, 923, 543, 1547, 634, 5072, 540, 519, 522, 9805, 545, 3756, 616, 547, 581, 1336, 538, 3504, 575, 872, 576, 1496, 5408, 6656, 968, 1492, 522, 9805, 545, 3756, 538, 25196, 892, 316, 2073, 543, 519, 1101, 2413, 3756, 267, 538, 476, 6245, 277, 267, 12286, 1082, 8100, 547, 713, 9371, 540, 19967, 25196, 281, 563, 763, 1101, 1900, 2899, 519, 21120, 10596, 630, 1729, 2995, 519, 1775, 665, 602, 596, 1616, 547, 3180, 519, 3756, 1070, 568, 547, 2307, 519, 4872, 547, 2347, 513, 18102, 799, 6227, 1082, 1883, 2798, 538, 519, 3919, 540, 519, 522, 9805, 545, 3756, 269, 634, 522, 9805, 545, 3756, 723, 513, 1279, 1686, 519, 1101, 6592, 522, 9805, 545, 3756, 3576, 1747, 538, 476, 6507, 277, 27652, 1498, 741, 5169, 949, 4266, 1394, 1256, 4505, 3594, 267, 5022, 1547, 634, 1101, 522, 9805, 545, 3756, 693, 522, 9805, 807, 941, 4371, 538, 476, 6507, 277, 27652, 2687, 547, 20361, 5362, 540, 1714, 529, 267, 945, 16432, 513, 1592, 540, 522, 9805, 545, 4619, 832, 524, 6110, 27652, 267, 519, 1152, 2680, 4371, 693, 519, 1101, 522, 9805, 923, 729, 519, 588, 611, 542, 3723, 15869, 269, 4340, 547, 930, 5339, 5389, 267, 713, 729, 519, 1152, 18942, 2680, 540, 519, 3756, 585, 519, 1101, 476, 1724, 522, 9805, 545, 15976, 610, 2394, 476, 278, 2190, 27652, 689, 476, 6507, 277, 27652, 267, 519, 3756, 941, 1547, 0, 2252, 596, 616, 3168, 585, 513, 1134, 27787, 1957, 593, 3854, 10751, 267, 1491, 513, 1413, 693, 713, 1312, 5011, 540, 519, 4661, 1118, 4570, 2798, 543, 1489, 741, 7440, 1547, 13360, 1168, 749, 281, 875, 547, 2328, 513, 2669, 15163, 1557, 17074, 543, 799, 2328, 10388, 4633, 563, 2304, 12819, 1557, 827, 2669, 15163, 945, 28586, 519, 2669, 15163, 593, 5837, 267, 3909, 267, 610, 6848, 12406, 267, 855, 11943, 602, 519, 563, 2237, 1524, 519, 4128, 1946, 519, 2669, 15163, 729, 3773, 883, 519, 1876, 267, 1018, 1004, 616, 30992, 547, 621, 798, 596, 3858, 609, 971, 2268, 540, 10751, 267, 798, 596, 269, 13317, 1790, 684, 7321, 17837, 8044, 602, 519, 2669, 15163, 17837, 2709, 513, 10388, 1557, 3932, 1806, 543, 11049, 3896, 910, 18747, 543, 563, 7078, 4081, 1557, 281, 519, 2669, 15163, 713, 1557, 2982, 1082, 1271, 2934, 799, 4122, 2408, 538, 3594, 1058, 519, 2669, 15163, 581, 563, 5719, 987, 15163, 281, 585, 543, 1996, 1492, 2669, 15163, 11151, 2104, 15294, 619, 10990, 519, 11566, 273, 3932, 689, 1296, 540, 15658, 5270, 2090, 568, 602, 519, 2669, 15163, 568, 267, 693, 1655, 267, 1100, 811, 540, 513, 12819, 1557, 2669, 15163, 269, 0, 1911, 260, 1863, 3284, 1449, 3341, 3896, 602, 3091, 1353, 1570, 547, 1164, 1153, 1053, 5275, 547, 5965, 585, 3284, 11400, 9432, 2358, 1053, 946, 713, 3896, 547, 1451, 3284, 269, 10812, 12557, 543, 3898, 585, 519, 3284, 7005, 3332, 543, 5888, 981, 267, 543, 2689, 3732, 2055, 267, 18176, 4808, 267, 543, 3732, 2875, 6114, 269, 7442, 721, 1686, 1603, 519, 1279, 1557, 10891, 707, 1344, 676, 1818, 513, 5618, 7291, 540, 1018, 596, 917, 596, 666, 2328, 707, 7291, 538, 519, 1449, 27412, 269, 16520, 3210, 1557, 3040, 946, 1250, 7291, 5402, 547, 1118, 2386, 707, 1557, 814, 3388, 621, 2115, 547, 581, 513, 1967, 269, 1403, 596, 616, 2921, 606, 3284, 1362, 543, 596, 723, 547, 798, 513, 17720, 2079, 1557, 267, 1287, 513, 1434, 4341, 540, 14853, 568, 547, 946, 513, 544, 26937, 4577, 3926, 1572, 1705, 956, 269, 1215, 547, 2328, 281, 3284, 17720, 2079, 9433, 543, 3594, 7291, 936, 8063, 6414, 1448, 856, 4865, 3589, 1459, 16785, 3132, 3895, 15974, 6961, 563, 25721, 779, 1164, 1153, 8087, 2829, 1686, 1576, 568, 513, 11826, 267, 2852, 7400, 1362, 602, 2488, 606, 4316, 547, 2744, 1983, 12621, 5431, 269, 11628, 13307, 13186, 22639, 606, 981, 5467, 781, 5796, 593, 1603, 3284, 547, 2328, 2047, 593, 519, 8574, 543, 1118, 2656, 4967, 543, 14592, 538, 519, 269, 1284, 328, 5389, 543, 13341, 3284, 1158, 1686, 2689, 3184, 476, 272, 281, 840, 20931, 519, 1101, 3184, 540, 5389, 543, 13341, 5036, 519, 3942, 585, 519, 12416, 540, 269, 12861, 606, 4661, 7291, 4352, 972, 568, 1100, 1305, 2203, 540, 3919, 585, 12819, 3594, 267, 972, 616, 930, 1455, 3270, 602, 5830, 1522, 946, 610, 602, 563, 10403, 1557, 281, 621, 6603, 21570, 538, 476, 16328, 278, 538, 513, 1906, 1296, 909, 547, 476, 2004, 2600, 540, 519, 2551, 5747, 267, 609, 2362, 9019, 3928, 538, 4683, 2127, 621, 8120, 1169, 269, 7442, 1557, 4058, 3391, 554, 4084, 270, 1220, 272, 3268, 281, 476, 272, 2626, 713, 2243, 281, 1018, 1281, 713, 5401, 1616, 803, 547, 798, 513, 1018, 2694, 540, 519, 8574, 270, 3667, 786, 948, 803, 547, 798, 621, 269, 654, 519, 1279, 1557, 2243, 5079, 786, 1893, 538, 519, 1523, 7291, 814, 1044, 9168, 547, 519, 2852, 4604, 779, 4359, 13307, 1982, 563, 763, 3284, 1982, 538, 8087, 2829, 1686, 568, 2966, 547, 1683, 1053, 609, 519, 10763, 1983, 543, 11972, 24300, 547, 2328, 1557, 18362, 267, 543, 269, 22544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1341, 1193, 263, 7386, 796, 5035, 1881, 7272, 739, 8542, 299, 10105, 4917, 3546, 2282, 7272, 739, 6155, 626, 1734, 314, 684, 5035, 1881, 7272, 739, 269, 573, 316, 815, 476, 271, 269, 1822, 9826, 454, 3546, 796, 5035, 1881, 7272, 739, 6155, 626, 1734, 19559, 792, 7272, 739, 269, 573, 316, 815, 476, 271, 269, 1822, 9826, 692, 2018, 6059, 5332, 299, 10105, 6834, 2282, 7272, 739, 8542, 299, 10105, 2608, 2282, 7272, 739, 269, 10517, 6974, 894, 2690, 2608, 27210, 3546, 476, 272, 1315, 2282, 7272, 739, 6155, 626, 1734, 314, 684, 5035, 1881, 7272, 739, 269, 573, 7481, 2018, 2698, 5091, 2700, 6834, 2282, 7272, 739, 269, 10517, 6974, 894, 2690, 2608, 630, 272, 1315, 2282, 7272, 739, 6155, 626, 1734, 314, 684, 5035, 1881, 7272, 739, 269, 573, 7481, 1038, 6059, 5332, 299, 10105, 815, 6059, 5332, 299, 10105, 1315, 2698, 5091, 2700, 692, 1038, 2612, 5091, 29924, 815, 2612, 263, 652, 13846, 5332, 299, 10105, 910, 796, 5035, 1881, 7272, 739, 8542, 299, 10105, 994, 1038, 952, 796, 5035, 1881, 7272, 739, 8542, 299, 10105, 2652, 476, 271, 912, 2018, 882, 5091, 29924, 815, 630, 652, 13846, 5332, 299, 10105, 1341, 476, 272, 264, 1315, 476, 272, 2608, 476, 1911, 454, 1038, 3116, 912, 2018, 882, 5091, 29924, 815, 630, 652, 13846, 5332, 299, 10105, 1315, 796, 5035, 1881, 7272, 739, 8542, 299, 10105, 264, 2608, 476, 1911, 454, 1038, 15981, 2745, 19304, 17347, 264, 1341, 29038, 928, 11732, 30256, 281, 1422, 339, 257, 1341, 834, 346, 281, 276, 269, 273, 325, 348, 2668, 8971, 263, 652, 13846, 5332, 299, 10105, 264, 1341, 27719, 339, 29146, 7464, 281, 834, 1341, 1193, 18692, 2018, 796, 5035, 1881, 7272, 739, 8542, 299, 10105, 264, 1341, 27719, 339, 29146, 12559, 16338, 281, 834, 1341, 834, 346, 281, 276, 269, 273, 325, 348, 2668, 8971, 18692, 2018, 2612, 5091, 29924, 264, 1341, 27719, 339, 29146, 4039, 16338, 281, 834, 1341, 834, 346, 281, 276, 269, 273, 325, 348, 2668, 8971, 263, 7758, 5091, 29924, 264, 1341, 834, 260, 8442, 18411, 1038, 2132, 1496, 7758, 5091, 29924, 267, 6059, 5332, 299, 10105, 316, 0, 5035, 8426, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 678, 267, 533, 2187, 1038, 1582, 269, 571, 1188, 815, 678, 454, 1038, 1582, 4877, 1077, 815, 533, 7531, 3698, 851, 272, 10031, 825, 17626, 10831, 815, 476, 278, 4097, 278, 454, 825, 7470, 815, 11713, 825, 585, 586, 538, 2039, 263, 4968, 2187, 1038, 7470, 6910, 8443, 7481, 1038, 585, 1535, 538, 2039, 263, 4968, 2187, 2018, 24646, 815, 1535, 1341, 476, 1556, 454, 2018, 1379, 815, 16733, 344, 1341, 476, 272, 264, 2608, 24646, 1341, 17626, 10831, 264, 2608, 24646, 454, 2018, 1379, 815, 703, 9230, 12741, 910, 703, 9638, 1077, 1315, 476, 1911, 271, 264, 2608, 476, 1911, 271, 264, 1315, 476, 1911, 264, 910, 476, 276, 454, 2018, 7470, 314, 344, 4940, 6572, 18154, 749, 263, 571, 1188, 267, 1379, 4917, 825, 536, 11764, 815, 476, 271, 454, 825, 536, 343, 815, 476, 271, 454, 825, 676, 815, 476, 271, 454, 825, 585, 586, 538, 2039, 263, 29218, 2187, 1038, 585, 1535, 538, 2039, 263, 29218, 2187, 2018, 1379, 11764, 815, 476, 271, 454, 2018, 585, 861, 538, 2039, 263, 274, 2187, 3546, 585, 521, 343, 538, 2039, 263, 274, 2187, 7386, 1379, 11764, 6834, 7470, 314, 344, 1341, 861, 6012, 343, 1341, 521, 343, 4940, 12741, 454, 2018, 952, 1379, 11764, 3436, 536, 11764, 912, 3546, 536, 11764, 815, 1379, 11764, 454, 3546, 536, 343, 815, 1535, 1341, 476, 272, 454, 3546, 676, 815, 586, 1341, 476, 272, 454, 825, 1820, 2891, 321, 11764, 281, 15079, 630, 346, 9574, 15079, 29215, 8971, 6357, 11764, 267, 536, 343, 267, 676, 264, 9239, 3698, 851, 273, 10031, 825, 1948, 567, 18786, 2175, 454, 825, 17626, 10831, 815, 476, 278, 4097, 278, 454, 825, 7470, 815, 19219, 263, 272, 267, 476, 272, 267, 476, 4968, 267, 476, 4968, 994, 825, 1948, 567, 19147, 519, 7470, 883, 4130, 4773, 454, 825, 1820, 2891, 291, 1204, 532, 519, 7470, 5602, 825, 7470, 21014, 3634, 4590, 825, 1948, 567, 23453, 782, 2418, 883, 7470, 454, 825, 1820, 2891, 11900, 1068, 532, 2418, 883, 519, 7470, 5602, 825, 585, 586, 538, 2039, 263, 4968, 2187, 1038, 585, 1535, 538, 2039, 263, 4968, 2187, 2018, 24646, 815, 1535, 1341, 476, 1556, 454, 2018, 1379, 815, 16733, 344, 1341, 476, 272, 264, 2608, 24646, 1341, 17626, 10831, 264, 2608, 24646, 454, 2018, 1379, 815, 703, 9230, 12741, 910, 703, 9638, 1077, 1315, 476, 1911, 271, 264, 2608, 476, 1911, 271, 264, 1315, 476, 1911, 264, 910, 476, 276, 454, 2018, 7470, 27044, 19368, 9638, 1077, 267, 1535, 266, 272, 267, 586, 266, 272, 994, 825, 1948, 567, 12433, 2418, 585, 782, 1016, 21870, 454, 825, 1820, 2891, 24280, 2418, 585, 782, 1016, 21870, 5602, 825, 7470, 15630, 11749, 1132, 4590, 825, 1948, 567, 6733, 585, 519, 4009, 609, 519, 1034, 1379, 454, 825, 1820, 2891, 19185, 585, 519, 4009, 609, 519, 1034, 1379, 5602, 825, 536, 11764, 815, 476, 271, 454, 825, 536, 343, 815, 476, 271, 454, 825, 676, 815, 476, 271, 454, 825, 536, 23917, 815, 476, 271, 454, 825, 585, 586, 538, 2039, 263, 4968, 2187, 1038, 585, 1535, 538, 2039, 263, 4968, 2187, 2018, 1820, 2891, 3682, 28698, 630, 346, 9574, 15079, 29215, 8971, 3287, 267, 586, 4917, 2018, 585, 2450, 538, 2039, 263, 4968, 910, 3193, 3287, 267, 586, 15892, 3546, 1379, 11764, 815, 7470, 10947, 11764, 3287, 266, 272, 267, 586, 266, 272, 267, 2450, 266, 272, 994, 3546, 952, 1379, 11764, 3436, 536, 11764, 912, 7386, 536, 11764, 815, 1379, 11764, 454, 7386, 536, 343, 815, 1535, 1341, 476, 272, 454, 7386, 676, 815, 586, 1341, 476, 272, 454, 7386, 536, 23917, 815, 2450, 1341, 476, 272, 454, 825, 1820, 2891, 321, 11764, 281, 15079, 630, 346, 9574, 2715, 9574, 15079, 29215, 8971, 6357, 11764, 267, 536, 343, 267, 676, 267, 536, 23917, 264, 9239, 258, 567, 19219, 609, 2450, 543, 2990, 267, 3568, 4130, 1126, 9136, 267, 10545, 6843, 568, 476, 272, 343, 272, 454, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 533, 343, 284, 272, 267, 7510, 284, 272, 267, 533, 23917, 311, 284, 272, 267, 533, 23917, 312, 284, 272, 2187, 1038, 1582, 11859, 815, 533, 343, 454, 1038, 1582, 13885, 815, 7510, 454, 1038, 1582, 25915, 311, 815, 533, 23917, 311, 454, 1038, 1582, 25915, 312, 815, 533, 23917, 312, 454, 1038, 1582, 22183, 815, 476, 271, 454, 1038, 1582, 269, 18244, 815, 29129, 825, 1948, 567, 29435, 525, 9136, 1858, 538, 2185, 1126, 9136, 543, 7125, 834, 16647, 3634, 257, 585, 873, 454, 825, 1219, 1402, 3634, 4311, 2187, 1038, 952, 1582, 25915, 312, 2652, 476, 272, 543, 1582, 25915, 311, 2652, 476, 272, 912, 2018, 2132, 454, 1038, 952, 1582, 25915, 312, 2652, 476, 272, 912, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 267, 1582, 13885, 267, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 1582, 25915, 312, 4917, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 1341, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 1582, 13885, 2676, 14030, 8587, 1582, 25915, 311, 910, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 1582, 25915, 312, 4917, 1038, 8640, 1582, 25915, 311, 2652, 476, 272, 912, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 267, 1582, 13885, 267, 1582, 25915, 311, 267, 703, 4311, 25915, 312, 1315, 476, 273, 21875, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 267, 1582, 13885, 1341, 703, 4311, 25915, 312, 1315, 476, 273, 13211, 14030, 8587, 1582, 25915, 311, 267, 1582, 25915, 312, 910, 703, 4311, 25915, 312, 1315, 476, 273, 21875, 1038, 3116, 912, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 267, 1582, 13885, 267, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 703, 4311, 25915, 312, 1315, 476, 273, 21875, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 1341, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 1582, 13885, 2676, 14030, 8587, 1582, 25915, 311, 910, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 703, 4311, 25915, 312, 1315, 476, 273, 21875, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 267, 1582, 13885, 1341, 703, 4311, 25915, 312, 1315, 476, 273, 13211, 14030, 8587, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 1582, 25915, 312, 910, 703, 4311, 25915, 312, 1315, 476, 273, 21875, 2018, 1582, 269, 18244, 6910, 263, 11966, 4311, 11859, 1341, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 1582, 13885, 1341, 703, 4311, 25915, 312, 1315, 476, 273, 13211, 14030, 8587, 1582, 25915, 311, 910, 703, 4311, 25915, 311, 1315, 476, 273, 1070, 1582, 25915, 312, 910, 703, 4311, 25915, 312, 1315, 476, 273, 21875, 1038, 585, 524, 538, 1582, 269, 18244, 912, 2018, 524, 21014, 3634, 10797, 825, 1948, 567, 4855, 1141, 1871, 12851, 543, 12662, 621, 972, 454, 825, 1219, 7696, 19368, 4311, 267, 533, 341, 267, 533, 343, 267, 7510, 2187, 1038, 952, 1582, 25915, 311, 2652, 476, 272, 543, 1582, 25915, 312, 2652, 476, 272, 912, 2018, 1582, 22183, 815, 533, 341, 454, 2018, 2132, 454, 1038, 585, 524, 538, 1582, 269, 18244, 912, 2018, 952, 524, 11859, 10922, 533, 343, 2999, 524, 11859, 1341, 524, 25915, 311, 543, 524, 13885, 10922, 7510, 2999, 524, 13885, 1341, 524, 25915, 312, 912, 3546, 524, 27044, 19368, 9638, 341, 267, 533, 343, 267, 7510, 2020, 825, 1948, 567, 30498, 1871, 540, 782, 9136, 609, 1453, 547, 519, 2040, 540, 519, 1126, 2418, 630, 663, 7024, 519, 1871, 994, 825, 1219, 1305, 11749, 1132, 4311, 2187, 1038, 952, 7003, 4311, 269, 18244, 264, 3436, 476, 271, 912, 2018, 1582, 22183, 815, 476, 271, 454, 2018, 585, 524, 538, 1582, 269, 18244, 912, 3546, 1582, 22183, 6834, 524, 15630, 11749, 1132, 4590, 1038, 2132, 1582, 22183, 692, 825, 1948, 567, 717, 1115, 2040, 540, 2418, 3330, 4009, 454, 825, 1219, 1205, 11764, 4311, 267, 533, 343, 267, 7510, 267, 533, 23917, 2187, 1038, 952, 1582, 11859, 13843, 533, 343, 543, 1582, 13885, 13843, 7510, 543, 1582, 11859, 1341, 1582, 25915, 311, 10922, 533, 343, 1341, 533, 23917, 543, 1582, 13885, 1341, 1582, 25915, 312, 10922, 7510, 1341, 533, 23917, 912, 2018, 2132, 1582, 22183, 454, 1038, 3116, 912, 2018, 1427, 11749, 815, 476, 271, 454, 2018, 585, 524, 538, 1582, 269, 18244, 912, 3546, 952, 711, 6262, 11859, 13843, 533, 343, 1341, 533, 23917, 610, 524, 11859, 1341, 524, 25915, 311, 10922, 533, 343, 610, 524, 13885, 13843, 7510, 1341, 533, 23917, 610, 524, 13885, 1341, 524, 25915, 312, 10922, 7510, 2187, 7386, 1427, 11749, 6834, 524, 10947, 11764, 9638, 343, 267, 7510, 267, 533, 23917, 994, 2018, 2132, 1427, 11749, 692, 825, 1948, 567, 2398, 6493, 1843, 1543, 543, 1453, 454, 825, 1219, 1820, 4311, 2187, 1038, 1820, 2891, 20719, 9574, 15079, 9984, 20719, 9574, 15079, 264, 15079, 2668, 8971, 4311, 11859, 267, 1582, 13885, 267, 1582, 25915, 311, 267, 1582, 25915, 312, 267, 1582, 22183, 4917, 1038, 585, 524, 538, 1582, 269, 18244, 912, 2018, 524, 31428, 30800, 4820, 273, 4590, 0, 331, 815, 1496, 272, 267, 279, 267, 272, 267, 273, 267, 280, 267, 273, 267, 272, 267, 280, 6540, 331, 31699, 4590, 2745, 3488, 306, 9285, 281, 15079, 8339, 8971, 10857, 11723, 2745, 3488, 763, 476, 274, 6113, 3693, 538, 519, 1592, 568, 15079, 8339, 8971, 10857, 314, 273, 8079, 2020, 2745, 2891, 2467, 616, 15079, 476, 272, 781, 538, 519, 1592, 2668, 8971, 10857, 29644, 263, 272, 4297, 2020, 2745, 3488, 763, 1295, 543, 3193, 616, 15079, 543, 15079, 8339, 8971, 263, 2381, 10857, 1070, 3193, 10857, 4297, 2020, 0, 331, 815, 1496, 273, 267, 275, 267, 277, 6540, 258, 2561, 754, 476, 278, 547, 519, 1439, 540, 519, 1592, 454, 331, 6910, 263, 278, 2020, 258, 23453, 476, 6507, 693, 519, 1376, 540, 519, 1592, 454, 331, 27044, 263, 271, 267, 476, 6507, 2020, 2745, 10857, 2020, 0, 12163, 26015, 9074, 602, 3568, 3490, 5049, 547, 581, 1031, 676, 824, 13838, 454, 20701, 454, 5035, 4406, 573, 1807, 24998, 2187, 825, 5727, 13356, 528, 1807, 1362, 1031, 547, 19472, 6724, 20701, 825, 7711, 18878, 24709, 454, 825, 1219, 2318, 263, 12407, 12173, 6889, 12407, 2678, 257, 2187, 1038, 5727, 31262, 7718, 1807, 547, 6023, 4570, 908, 3403, 6724, 547, 2327, 454, 1038, 6724, 616, 2318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 3914, 519, 9067, 267, 1376, 547, 454, 335, 5241, 707, 2597, 1524, 883, 707, 454, 6244, 1023, 269, 901, 786, 948, 596, 547, 1832, 707, 454, 321, 833, 7059, 607, 596, 4734, 519, 2666, 563, 274, 269, 8347, 543, 1832, 707, 2212, 543, 4295, 454, 31742, 532, 513, 5347, 9095, 563, 2026, 596, 4734, 519, 2666, 267, 1445, 593, 454, 15209, 707, 1560, 538, 513, 5347, 9095, 563, 1607, 786, 948, 596, 547, 2226, 1852, 454, 1993, 707, 11332, 543, 2244, 9108, 563, 275, 269, 5269, 2386, 596, 5749, 1406, 1869, 11319, 883, 454, 1492, 9067, 2899, 596, 1205, 547, 713, 1899, 563, 5629, 596, 4076, 2451, 519, 2666, 267, 3247, 454, 335, 5241, 883, 519, 9067, 269, 901, 786, 948, 596, 454, 1729, 2057, 13941, 26101, 569, 543, 454, 276, 269, 2422, 707, 7916, 454, 763, 26357, 693, 645, 732, 15880, 645, 833, 5244, 616, 2966, 585, 5347, 12902, 18646, 267, 899, 1346, 3335, 1336, 593, 513, 13897, 7914, 11332, 610, 513, 22720, 311, 269, 7736, 1755, 21891, 616, 711, 3617, 1934, 269, 23680, 519, 5679, 984, 2421, 18646, 693, 1753, 543, 2972, 519, 5347, 267, 13576, 26357, 2336, 9989, 679, 706, 549, 24211, 289, 723, 26357, 454, 2467, 616, 476, 274, 1292, 2010, 540, 7823, 11332, 14964, 1107, 3444, 2197, 630, 311, 290, 1070, 679, 706, 549, 543, 1524, 24824, 630, 291, 295, 1040, 9061, 2197, 568, 519, 3312, 543, 1034, 1455, 1106, 267, 609, 7498, 17484, 1755, 267, 1419, 5219, 547, 607, 782, 2173, 20667, 267, 568, 513, 18960, 9015, 602, 568, 513, 3444, 1063, 3444, 2197, 543, 1524, 24824, 269, 898, 568, 6353, 676, 7498, 291, 1144, 24824, 568, 519, 1034, 3665, 543, 19076, 13824, 1790, 18804, 1106, 540, 7823, 31610, 269, 681, 2167, 616, 4371, 593, 1279, 267, 3483, 32472, 13475, 609, 513, 1297, 540, 7498, 288, 3444, 2197, 11332, 666, 6023, 930, 1769, 1524, 24824, 267, 855, 621, 779, 711, 2966, 585, 621, 269, 1403, 596, 798, 1022, 2462, 12772, 610, 26357, 267, 596, 1981, 14124, 519, 11332, 269, 1924, 952, 596, 2461, 3168, 547, 11878, 513, 1524, 24824, 13009, 267, 621, 779, 1655, 547, 1902, 538, 513, 11332, 602, 779, 1500, 585, 621, 563, 4692, 594, 946, 513, 2182, 18571, 585, 1524, 24824, 454, 26773, 18571, 21891, 723, 513, 20022, 1062, 1152, 538, 519, 4395, 269, 2334, 1797, 602, 789, 616, 1454, 14402, 982, 2407, 1606, 22273, 3290, 21891, 543, 789, 616, 849, 1454, 14949, 269, 10434, 339, 5661, 616, 1360, 1434, 585, 16246, 15081, 650, 1317, 519, 15493, 540, 519, 11332, 568, 711, 536, 23395, 1472, 899, 621, 568, 593, 513, 2407, 1606, 22273, 3290, 11332, 269, 10434, 339, 5661, 616, 849, 1434, 585, 14964, 593, 19081, 539, 2206, 2280, 571, 1188, 1317, 789, 616, 4443, 547, 1852, 982, 2407, 1606, 22273, 3290, 21891, 563, 20751, 519, 3486, 1055, 268, 5802, 27576, 2146, 267, 519, 2165, 679, 706, 549, 12926, 4016, 4481, 547, 942, 5329, 2621, 799, 2154, 15712, 547, 2226, 513, 11311, 13304, 829, 5662, 3328, 936, 8795, 14099, 269, 1452, 2621, 616, 3335, 1279, 3845, 3444, 28029, 787, 14797, 563, 17484, 1755, 7823, 11332, 14797, 616, 782, 827, 16608, 269, 634, 6030, 616, 3335, 1279, 543, 4101, 267, 609, 513, 3099, 540, 14099, 547, 1449, 26348, 685, 1983, 269, 7033, 1499, 1194, 16176, 645, 833, 918, 1080, 616, 519, 3501, 1259, 547, 2981, 707, 13897, 11332, 883, 513, 6777, 3684, 543, 1491, 593, 1022, 679, 706, 549, 5198, 269, 2060, 513, 7033, 1499, 1194, 6539, 267, 596, 3580, 723, 519, 1379, 543, 20086, 547, 1491, 593, 8726, 519, 5198, 25001, 693, 596, 563, 17484, 1755, 7823, 11332, 14797, 616, 4742, 5051, 2442, 267, 607, 789, 2709, 513, 2189, 4161, 547, 26348, 269, 1452, 14797, 616, 3335, 3476, 982, 2757, 7823, 11332, 14797, 267, 543, 1419, 1331, 2789, 5933, 267, 1818, 873, 513, 3020, 1449, 540, 16608, 269, 1280, 1346, 3168, 585, 513, 1007, 543, 3078, 7823, 11332, 5198, 547, 2119, 267, 606, 679, 706, 549, 5198, 568, 513, 1390, 4781, 269, 0, 294, 637, 8619, 16671, 2793, 1107, 16671, 7728, 27872, 11929, 9752, 1107, 16340, 4751, 338, 267, 16735, 338, 267, 22748, 1562, 267, 1656, 1809, 27971, 454, 1103, 26128, 289, 424, 353, 495, 422, 367, 482, 2073, 782, 540, 721, 5941, 13739, 338, 538, 1840, 547, 519, 1761, 3823, 513, 13739, 9983, 269, 630, 2252, 596, 14406, 602, 835, 267, 2628, 513, 3643, 547, 1250, 3896, 779, 16497, 3296, 269, 3738, 769, 2221, 779, 5850, 267, 1034, 540, 721, 1865, 1082, 1114, 3044, 3060, 3457, 543, 1256, 875, 789, 5351, 547, 3970, 13739, 3892, 1107, 610, 3006, 267, 875, 789, 1685, 711, 948, 2336, 11900, 728, 519, 968, 4777, 711, 948, 892, 8257, 267, 649, 2461, 2469, 1265, 32387, 7132, 10956, 619, 269, 1452, 513, 7008, 540, 3457, 7500, 538, 23771, 476, 272, 2404, 609, 519, 744, 10485, 9059, 2450, 630, 1492, 8447, 4494, 1070, 543, 741, 6852, 3483, 568, 547, 581, 2111, 547, 7794, 519, 1379, 6786, 2366, 811, 982, 519, 10814, 269, 1473, 6510, 723, 4376, 547, 798, 609, 15175, 610, 23332, 267, 538, 1840, 547, 789, 2760, 5351, 547, 3970, 13739, 338, 269, 630, 288, 13398, 568, 2965, 1175, 513, 4735, 831, 609, 606, 2333, 540, 16788, 269, 12467, 3080, 519, 824, 2427, 540, 519, 11777, 1439, 5473, 519, 8552, 267, 1082, 540, 721, 723, 31425, 269, 22748, 1562, 7500, 693, 5426, 476, 274, 540, 519, 744, 10485, 2203, 630, 1492, 8416, 4494, 1070, 543, 1256, 676, 9949, 31425, 798, 711, 4395, 1189, 13739, 338, 269, 1358, 666, 6157, 581, 27358, 547, 581, 2111, 547, 968, 10520, 17218, 892, 1978, 6771, 2010, 883, 27033, 6814, 267, 855, 596, 3580, 1265, 856, 811, 827, 602, 538, 519, 16671, 2793, 1382, 563, 7712, 31425, 4163, 856, 711, 4464, 2982, 267, 972, 779, 513, 3765, 24483, 602, 31425, 1331, 4986, 547, 4163, 856, 609, 13739, 338, 269, 22748, 1562, 666, 8197, 5352, 2982, 267, 7132, 789, 666, 11760, 873, 1107, 855, 789, 786, 2760, 6619, 873, 269, 2334, 779, 513, 1390, 1271, 11984, 563, 1103, 341, 6295, 891, 1079, 26037, 267, 649, 3605, 17176, 269, 4210, 9662, 7500, 693, 3213, 908, 476, 273, 540, 3335, 519, 744, 10485, 2203, 630, 1492, 4578, 13017, 4494, 1070, 543, 519, 24441, 2623, 540, 513, 1007, 6467, 568, 538, 1931, 547, 3398, 513, 10141, 543, 4464, 621, 856, 1169, 1585, 824, 2582, 2823, 827, 602, 6467, 4849, 519, 2823, 540, 799, 1101, 4607, 3335, 519, 13739, 563, 2252, 602, 4992, 899, 513, 2603, 540, 13739, 4464, 532, 267, 621, 568, 256, 769, 519, 2680, 602, 649, 723, 606, 476, 3199, 268, 1636, 6467, 543, 1945, 18921, 11392, 513, 13739, 267, 676, 9949, 513, 5299, 540, 602, 10299, 786, 2693, 581, 4464, 539, 856, 543, 827, 519, 824, 476, 8064, 16788, 269, 4107, 2693, 267, 711, 782, 540, 891, 14747, 4448, 547, 1346, 6467, 7964, 991, 547, 1294, 602, 786, 13739, 267, 543, 23142, 11991, 13739, 2640, 538, 606, 11991, 946, 540, 2146, 2200, 267, 3226, 19961, 563, 299, 3089, 1176, 585, 721, 782, 267, 972, 6818, 513, 1259, 547, 19022, 513, 717, 637, 8619, 6467, 547, 1852, 799, 16788, 1205, 602, 13739, 267, 543, 1256, 649, 3580, 1491, 513, 1007, 1413, 693, 540, 799, 1505, 538, 3335, 519, 1985, 3888, 618, 2404, 609, 1250, 595, 8646, 16671, 7728, 13995, 981, 2376, 3126, 2336, 2419, 5142, 21563, 656, 267, 595, 5746, 292, 1948, 15782, 3451, 267, 568, 2356, 519, 8227, 5473, 634, 21563, 656, 1520, 2779, 720, 267, 1753, 540, 11207, 1863, 717, 637, 8619, 16671, 7728, 27872, 543, 16671, 2793, 27872, 10495, 18862, 267, 634, 18678, 16671, 2793, 5530, 13268, 720, 267, 543, 1256, 31597, 16671, 23259, 21302, 13268, 1137, 563, 9827, 596, 666, 2628, 513, 3643, 547, 1010, 5816, 267, 799, 2356, 568, 8242, 14578, 3232, 609, 6216, 1007, 595, 8646, 13995, 1543, 4930, 267, 1863, 18862, 267, 543, 1256, 3232, 16671, 2793, 607, 1134, 607, 16671, 23259, 981, 4145, 2336, 28716, 1010, 5816, 3135, 543, 1129, 20733, 585, 27872, 11759, 267, 513, 3232, 20394, 14095, 609, 16671, 2793, 267, 8416, 31956, 589, 31956, 538, 1840, 547, 16671, 23259, 13995, 6514, 2259, 2055, 269, 589, 1007, 1863, 476, 278, 12268, 1576, 267, 3331, 363, 382, 379, 16006, 1692, 1677, 10426, 634, 1880, 16671, 2793, 25771, 382, 379, 16006, 267, 568, 11338, 6035, 0, 15697, 9218, 281, 14377, 2262, 610, 8360, 689, 24414, 547, 2296, 610, 13030, 17930, 267, 543, 849, 689, 7005, 547, 7005, 593, 11060, 563, 31549, 559, 524, 926, 546, 926, 737, 1092, 693, 879, 9992, 848, 281, 10552, 344, 6307, 630, 271, 269, 18089, 1704, 1033, 1731, 994, 28062, 476, 272, 3688, 267, 2147, 547, 10552, 344, 6307, 563, 12626, 9890, 2296, 454, 14240, 281, 10552, 344, 6307, 454, 333, 476, 272, 281, 8250, 540, 8361, 24163, 543, 21965, 540, 589, 16400, 945, 729, 10348, 454, 1993, 4789, 689, 476, 14028, 274, 547, 476, 14028, 279, 282, 1352, 729, 519, 7385, 540, 17722, 454, 2862, 540, 8050, 543, 950, 1352, 17468, 4936, 30871, 547, 454, 8777, 1633, 1082, 14308, 1218, 941, 14616, 693, 519, 7196, 607, 454, 1877, 9455, 630, 14681, 277, 268, 14028, 279, 264, 1496, 27675, 281, 6307, 594, 454, 267, 6307, 570, 31122, 454, 273, 281, 513, 15483, 18571, 1500, 609, 642, 617, 6390, 543, 25970, 16603, 10433, 0, 24336, 1453, 3668, 513, 4909, 1702, 540, 2123, 2883, 2359, 267, 513, 11001, 1767, 5063, 563, 313, 28702, 2473, 807, 617, 784, 267, 945, 1568, 693, 519, 19864, 6970, 790, 660, 836, 12409, 3194, 4741, 267, 799, 2090, 19920, 262, 5626, 1072, 267, 1767, 281, 834, 14399, 1058, 1451, 827, 519, 1523, 540, 2724, 267, 1141, 741, 1920, 781, 4747, 2501, 689, 543, 875, 547, 4383, 741, 1378, 18083, 865, 789, 666, 8936, 519, 1318, 2418, 547, 2724, 4799, 3719, 519, 1249, 568, 267, 1360, 1906, 1453, 616, 2965, 3177, 609, 971, 18375, 2901, 676, 741, 3237, 610, 3610, 267, 1352, 1767, 563, 10454, 2942, 1764, 540, 971, 513, 3668, 540, 1702, 568, 6654, 281, 5753, 1831, 20662, 880, 267, 25796, 543, 6067, 9037, 2437, 18681, 1767, 563, 9515, 5219, 547, 519, 2164, 540, 1200, 2487, 5619, 540, 476, 4510, 476, 1321, 4458, 29419, 689, 513, 3056, 3119, 1153, 538, 19864, 543, 741, 3237, 267, 799, 6700, 602, 1256, 1453, 689, 1134, 268, 14445, 730, 267, 1164, 13867, 3885, 616, 21933, 643, 1190, 547, 519, 1523, 540, 2123, 5763, 2359, 563, 763, 5619, 4951, 602, 930, 476, 6246, 2600, 540, 3237, 267, 1034, 540, 945, 5249, 538, 3318, 4610, 267, 1767, 789, 1185, 2760, 9275, 547, 741, 1453, 593, 519, 1641, 563, 9617, 476, 2764, 2600, 1767, 789, 1185, 9275, 547, 741, 1453, 827, 4871, 6589, 267, 1247, 476, 2537, 2600, 1767, 789, 1185, 6045, 519, 1523, 540, 9494, 563, 18744, 1079, 5036, 540, 3237, 1767, 789, 1185, 5280, 741, 1453, 1305, 909, 4747, 270, 10339, 754, 8132, 5638, 267, 1247, 1175, 835, 1185, 3177, 741, 1126, 609, 513, 11295, 2883, 2069, 563, 763, 1453, 781, 6114, 16079, 539, 1346, 540, 741, 3237, 267, 18681, 1767, 563, 26212, 547, 11264, 513, 18102, 267, 9039, 729, 2111, 547, 4628, 2491, 519, 1523, 540, 5763, 2359, 267, 1352, 1767, 563, 306, 4869, 8696, 1767, 789, 6785, 875, 1454, 741, 3237, 12236, 267, 855, 1152, 1079, 1223, 2911, 538, 1469, 827, 741, 3885, 262, 18820, 563, 21893, 568, 3833, 606, 14849, 3390, 267, 2523, 607, 4457, 3885, 616, 3478, 21950, 1739, 519, 2197, 781, 2804, 2208, 2437, 18681, 5143, 3624, 11545, 563, 257, 14399, 616, 20916, 547, 11349, 3983, 6208, 267, 971, 607, 964, 3931, 6216, 4408, 543, 7893, 3388, 538, 2474, 540, 2724, 269, 1358, 616, 538, 8594, 540, 3395, 909, 1510, 20440, 4799, 313, 28702, 1767, 602, 538, 519, 2136, 2276, 267, 1453, 9907, 1614, 543, 2185, 666, 2697, 4871, 4967, 543, 11113, 282, 693, 2947, 543, 3670, 789, 666, 1174, 1141, 2724, 2501, 689, 282, 543, 676, 5722, 547, 8370, 789, 616, 5827, 540, 2542, 3902, 16776, 267, 9236, 5777, 267, 9494, 2724, 543, 5373, 909, 2241, 835, 22173, 18820, 4566, 563, 3528, 519, 942, 789, 616, 476, 1015, 547, 476, 1321, 267, 789, 1174, 602, 547, 2628, 585, 1804, 3688, 789, 1590, 4688, 2724, 593, 513, 12353, 4493, 267, 18681, 1767, 563, 5445, 849, 1174, 930, 12948, 2474, 267, 1352, 1767, 563, 29261, 543, 3610, 1058, 13599, 1453, 827, 875, 547, 2070, 543, 946, 2724, 865, 789, 1223, 1020, 1582, 9113, 1051, 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 ]
[ 7386, 9343, 14728, 316, 6834, 14950, 3429, 1341, 1193, 9217, 264, 1341, 14950, 3429, 454, 3546, 3116, 912, 7386, 9343, 14728, 316, 6834, 1899, 454, 3546, 952, 630, 328, 1341, 476, 272, 264, 2999, 7003, 4311, 31815, 8435, 2187, 7386, 9343, 14728, 316, 6834, 1412, 1923, 1412, 454, 1038, 2132, 1412, 315, 333, 8339, 21860, 263, 4900, 2020, 3698, 2661, 19963, 318, 14749, 14116, 5090, 267, 1138, 2187, 825, 28738, 344, 815, 25373, 14116, 5090, 269, 19417, 267, 7470, 9884, 5954, 994, 825, 6221, 815, 1985, 4433, 574, 994, 825, 1247, 6221, 568, 711, 570, 27912, 912, 1038, 952, 568, 27349, 263, 14403, 267, 2372, 2044, 2187, 2018, 1533, 815, 7470, 269, 638, 2044, 263, 14403, 13885, 267, 6221, 11859, 994, 2018, 6221, 815, 1138, 4732, 754, 263, 8063, 994, 1038, 3116, 912, 2018, 28738, 344, 269, 817, 793, 263, 14403, 13885, 267, 6221, 11859, 267, 6221, 269, 8063, 994, 2018, 6221, 815, 1985, 4433, 574, 994, 825, 2132, 28738, 344, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 12055, 2209, 281, 4558, 782, 519, 2418, 538, 3965, 282, 711, 3965, 18026, 454, 825, 1948, 4289, 19963, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 277, 2639, 825, 1948, 1721, 1775, 538, 1592, 19963, 912, 825, 1948, 825, 1820, 9217, 994, 8931, 825, 1592, 10734, 815, 1496, 343, 2608, 1535, 585, 1535, 538, 2039, 263, 274, 22708, 825, 585, 1775, 538, 1592, 10734, 912, 1038, 1820, 9217, 2020, 825, 1948, 18402, 281, 10691, 292, 519, 3017, 1063, 24042, 543, 11718, 8206, 2336, 825, 1948, 513, 815, 18011, 764, 3299, 476, 2537, 264, 25341, 24042, 282, 476, 536, 815, 630, 343, 2608, 1535, 585, 1535, 538, 2039, 263, 1015, 4297, 9847, 11718, 454, 825, 1948, 9198, 2209, 616, 12055, 2209, 267, 513, 2186, 540, 12055, 762, 596, 666, 1152, 621, 4733, 936, 2899, 269, 3097, 825, 1948, 9198, 2209, 798, 711, 4558, 782, 519, 2418, 538, 3965, 267, 789, 5352, 519, 2418, 593, 519, 8038, 912, 8931, 825, 621, 815, 1250, 6831, 528, 719, 710, 4590, 825, 1820, 3488, 6943, 281, 22207, 1826, 263, 527, 4917, 825, 1948, 544, 341, 4141, 4464, 547, 1985, 6556, 454, 825, 1985, 263, 527, 994, 825, 621, 4732, 754, 3488, 272, 560, 5073, 825, 621, 4732, 754, 3488, 273, 526, 17210, 825, 9910, 318, 527, 815, 7413, 6831, 528, 719, 324, 4590, 825, 1820, 3488, 6943, 281, 22207, 1826, 263, 2381, 328, 318, 527, 4917, 825, 1985, 263, 2381, 328, 318, 527, 994, 825, 1820, 263, 2381, 328, 318, 527, 4732, 754, 263, 1015, 4917, 825, 1820, 263, 2381, 328, 318, 527, 4732, 754, 263, 1789, 4917, 825, 1820, 263, 2381, 328, 318, 527, 4732, 754, 263, 276, 4917, 825, 1820, 263, 2381, 328, 318, 527, 4732, 754, 263, 272, 11723, 825, 1948, 811, 1449, 593, 1351, 719, 710, 912, 825, 1948, 1931, 281, 1496, 22139, 267, 4639, 267, 5101, 267, 3162, 267, 3345, 26156, 267, 3345, 292, 770, 267, 3162, 26156, 267, 3162, 292, 770, 2639, 825, 9338, 25893, 815, 1412, 288, 7055, 825, 16692, 4696, 815, 21029, 7055, 825, 2372, 2044, 815, 3957, 14654, 921, 3488, 5226, 2044, 3299, 18011, 343, 3299, 1412, 344, 29125, 825, 21846, 815, 3957, 14654, 921, 3488, 9558, 819, 3299, 18011, 344, 3299, 1412, 343, 3299, 1412, 8063, 29125, 825, 570, 27912, 815, 1843, 4590, 8931, 825, 1376, 14729, 815, 476, 276, 3097, 825, 1376, 13448, 815, 476, 276, 692, 825, 1820, 28361, 660, 652, 1293, 30256, 476, 955, 268, 5073, 825, 1293, 318, 527, 815, 1293, 318, 31371, 321, 2293, 263, 11034, 14729, 267, 1376, 13448, 994, 825, 7117, 5332, 815, 1985, 6262, 870, 318, 527, 994, 825, 1820, 3488, 333, 2180, 281, 22207, 7117, 5332, 994, 825, 7117, 16062, 815, 1293, 318, 527, 4732, 754, 263, 3201, 25893, 994, 825, 1820, 3488, 8054, 281, 22207, 7117, 16062, 994, 825, 7117, 21223, 815, 1293, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 324, 770, 281, 22207, 7117, 21223, 994, 825, 7117, 5334, 815, 1293, 318, 527, 4732, 754, 263, 3201, 25893, 994, 825, 1820, 3488, 338, 1926, 281, 22207, 7117, 5334, 994, 825, 7117, 5332, 342, 815, 1293, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 333, 2180, 8054, 281, 22207, 7117, 5332, 342, 994, 825, 7117, 318, 928, 815, 1293, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 333, 677, 8603, 281, 22207, 7117, 318, 928, 994, 825, 7117, 318, 1873, 815, 1293, 318, 527, 4732, 754, 263, 3201, 25893, 994, 825, 1820, 3488, 338, 1926, 8054, 281, 22207, 7117, 318, 1873, 994, 825, 7117, 26000, 815, 1293, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 338, 11322, 281, 22207, 7117, 26000, 994, 8931, 825, 2119, 912, 1038, 1293, 815, 1293, 318, 527, 4732, 754, 263, 14701, 4696, 264, 1948, 476, 280, 628, 6494, 267, 547, 9594, 519, 9868, 454, 825, 4849, 17547, 296, 614, 566, 607, 552, 912, 1038, 1820, 3488, 10468, 697, 289, 712, 4032, 281, 22207, 552, 27841, 994, 672, 3097, 825, 1820, 28361, 660, 652, 1900, 318, 3250, 476, 955, 268, 5073, 825, 1900, 318, 527, 815, 1900, 318, 3250, 263, 11034, 14729, 267, 1376, 13448, 994, 825, 1631, 815, 1985, 263, 21163, 318, 527, 994, 825, 1820, 3488, 852, 281, 22207, 1631, 994, 825, 7117, 5332, 815, 1900, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 333, 2180, 281, 22207, 7117, 5332, 994, 825, 7117, 16062, 815, 1900, 318, 527, 4732, 754, 263, 3201, 25893, 994, 825, 1820, 3488, 8054, 281, 22207, 7117, 16062, 994, 825, 7117, 21223, 815, 1900, 318, 527, 4732, 754, 263, 3201, 25893, 994, 825, 1820, 3488, 324, 770, 281, 22207, 7117, 21223, 994, 825, 7117, 5334, 815, 1900, 318, 527, 4732, 754, 263, 3201, 25893, 994, 825, 1820, 3488, 338, 1926, 281, 22207, 7117, 5334, 994, 825, 7117, 5332, 342, 815, 1900, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 333, 2180, 8054, 281, 22207, 7117, 5332, 342, 994, 825, 7117, 318, 928, 815, 1900, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 333, 677, 8603, 281, 22207, 7117, 318, 928, 994, 825, 7117, 318, 1873, 815, 1900, 318, 527, 4732, 754, 263, 3201, 25893, 994, 825, 1820, 3488, 338, 1926, 8054, 281, 22207, 7117, 318, 1873, 994, 825, 7117, 26000, 815, 1900, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 338, 11322, 281, 22207, 7117, 26000, 994, 825, 856, 26077, 815, 1900, 318, 527, 4732, 754, 263, 14701, 4696, 994, 825, 1820, 3488, 16059, 281, 22207, 856, 26077, 2020, 825, 1820, 28361, 660, 652, 7470, 4070, 476, 955, 268, 5073, 825, 7470, 815, 25373, 263, 276, 267, 476, 280, 994, 825, 7470, 269, 817, 793, 263, 271, 267, 476, 274, 267, 9338, 25893, 994, 825, 7470, 269, 817, 793, 263, 272, 267, 476, 275, 267, 9338, 25893, 994, 825, 7470, 269, 817, 793, 263, 273, 267, 476, 273, 267, 9338, 25893, 994, 825, 7470, 269, 817, 793, 263, 273, 267, 476, 274, 267, 9338, 25893, 994, 825, 7470, 269, 817, 793, 263, 273, 267, 476, 275, 267, 9338, 25893, 994, 825, 1820, 14116, 5090, 2020, 825, 1820, 28361, 660, 652, 6241, 17002, 476, 955, 268, 5073, 825, 9587, 815, 28758, 7468, 5793, 4590, 825, 1138, 815, 18082, 14116, 5090, 269, 19417, 267, 7470, 9884, 5954, 994, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 9587, 6910, 19304, 14116, 5090, 4917, 1038, 1948, 3712, 8435, 6910, 14116, 5090, 994, 1038, 7470, 815, 2661, 19963, 318, 14749, 14116, 5090, 267, 1138, 994, 825, 1820, 263, 3712, 8435, 9239, 0, 5814, 19523, 267, 15259, 267, 942, 454, 5228, 20313, 1104, 6581, 826, 692, 5814, 8142, 532, 454, 5228, 8142, 532, 1104, 27387, 454, 258, 5228, 8142, 532, 1104, 24522, 692, 258, 1305, 519, 20313, 17280, 2450, 476, 272, 454, 258, 519, 8380, 543, 3478, 19900, 454, 258, 28255, 815, 6581, 826, 4590, 28255, 815, 6581, 826, 263, 272, 994, 1740, 18045, 815, 476, 271, 454, 329, 984, 19571, 815, 476, 1015, 692, 3698, 8532, 10031, 825, 2518, 960, 18045, 454, 825, 2518, 20313, 454, 825, 1247, 6936, 281, 3097, 1038, 20313, 10947, 4590, 1038, 1820, 3488, 4621, 10179, 1205, 7996, 476, 272, 5073, 1038, 960, 18045, 6834, 476, 272, 454, 1038, 952, 960, 18045, 13843, 2816, 19571, 912, 2018, 20313, 6745, 2532, 5091, 821, 4590, 2018, 2736, 454, 825, 1948, 28255, 10947, 4590, 825, 1948, 2745, 3488, 4621, 10179, 1205, 7996, 476, 273, 17210, 825, 1948, 22322, 825, 1948, 2745, 3488, 4621, 10179, 2944, 5073, 825, 1948, 28255, 6745, 2532, 5091, 821, 10797, 258, 6581, 826, 6745, 2532, 5091, 821, 3890, 1341, 6581, 826, 12459, 7765, 10797, 628, 1348, 815, 27387, 6025, 13759, 284, 4621, 2541, 994, 628, 1348, 269, 11034, 10797, 1721, 1775, 538, 2039, 27203, 984, 19571, 2187, 825, 20313, 269, 1584, 24998, 15405, 825, 1820, 3488, 335, 1238, 1356, 8380, 22207, 1775, 2020, 258, 1496, 307, 7495, 302, 316, 1946, 519, 20313, 12459, 7765, 3890, 3625, 519, 5650, 15017, 258, 28255, 12459, 7765, 10797, 258, 628, 1348, 12459, 7765, 4590, 2745, 3488, 335, 1238, 1356, 2944, 5073, 0, 1012, 1634, 607, 1412, 2041, 2246, 3814, 12055, 2209, 7055, 1012, 692, 258, 538, 519, 476, 272, 560, 14255, 633, 1806, 267, 15901, 831, 543, 15901, 831, 296, 614, 1807, 960, 1927, 454, 258, 621, 666, 581, 9763, 607, 6449, 3438, 1029, 543, 6449, 10113, 1029, 960, 1927, 563, 5035, 5565, 4942, 848, 3725, 701, 831, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 22562, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 5565, 4942, 848, 3725, 701, 831, 296, 614, 1807, 4311, 2020, 5035, 5565, 4942, 848, 3725, 701, 831, 296, 614, 1807, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2707, 2187, 1038, 1582, 4732, 1830, 815, 2707, 454, 1038, 1582, 6983, 3300, 815, 476, 271, 454, 1038, 1582, 27982, 23631, 701, 1846, 815, 476, 1015, 692, 825, 1219, 6449, 10113, 9191, 1345, 2187, 1038, 1582, 6983, 3300, 6834, 476, 272, 454, 1038, 952, 1582, 6983, 3300, 3436, 1582, 27982, 23631, 701, 1846, 912, 2018, 1820, 4311, 6983, 3300, 994, 2018, 6318, 17547, 296, 614, 566, 476, 1948, 946, 6318, 267, 711, 2132, 454, 1038, 3116, 912, 2018, 2132, 1582, 6983, 3300, 454, 1038, 1948, 2132, 7183, 676, 9949, 692, 5035, 17266, 3725, 701, 831, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 267, 3193, 23631, 701, 1846, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 27982, 23631, 701, 1846, 815, 3193, 23631, 701, 1846, 454, 1038, 1582, 6983, 3300, 815, 476, 271, 454, 825, 454, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 1582, 692, 825, 1219, 6449, 10113, 9191, 1345, 2187, 1038, 952, 1582, 6983, 3300, 13843, 1582, 27982, 23631, 701, 1846, 912, 2018, 6318, 17547, 296, 614, 566, 454, 1038, 1582, 6983, 3300, 6834, 476, 272, 454, 1038, 2132, 1582, 27841, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 3488, 16753, 12055, 2209, 2433, 1412, 264, 8528, 825, 4735, 831, 815, 5565, 4942, 848, 3725, 701, 831, 3488, 10521, 4942, 848, 281, 570, 520, 3019, 5073, 825, 1948, 513, 12808, 8520, 454, 825, 585, 6221, 538, 4735, 831, 912, 1038, 1820, 263, 14403, 994, 1038, 1948, 19874, 476, 1948, 18178, 519, 11995, 8520, 692, 825, 1948, 3297, 27214, 25333, 269, 8074, 519, 10618, 1063, 4735, 831, 543, 681, 3438, 2209, 912, 825, 1820, 3488, 8782, 2608, 476, 2412, 994, 825, 1948, 3438, 1807, 815, 4735, 831, 14857, 3438, 1029, 4590, 825, 1948, 10758, 912, 825, 12055, 1807, 815, 12055, 263, 516, 701, 831, 994, 825, 1247, 6936, 912, 1038, 1948, 14403, 815, 12055, 1807, 14857, 10113, 1029, 4590, 1038, 1948, 610, 281, 3097, 1038, 2119, 912, 2018, 6221, 815, 1985, 263, 3438, 1807, 994, 2018, 1948, 2745, 263, 14403, 994, 1038, 4849, 17547, 296, 614, 566, 912, 2018, 2736, 454, 1038, 1820, 263, 14403, 2020, 825, 1820, 3488, 8782, 2608, 476, 2412, 994, 825, 4735, 831, 815, 17266, 3725, 701, 831, 2891, 306, 17532, 281, 15917, 6737, 2580, 476, 276, 994, 825, 1948, 1721, 6221, 538, 4735, 831, 912, 825, 1948, 825, 1820, 263, 14403, 994, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 6221, 815, 1985, 263, 516, 701, 831, 994, 1038, 4849, 17547, 296, 614, 566, 912, 2018, 2736, 454, 1038, 1820, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 281, 876, 10975, 950, 519, 20752, 25044, 3459, 519, 1101, 5123, 540, 519, 6370, 1544, 269, 3683, 476, 5611, 15963, 8118, 3595, 593, 519, 5742, 4099, 563, 763, 12658, 5644, 8120, 3595, 543, 519, 1034, 7372, 25044, 10514, 731, 618, 1282, 519, 6406, 2782, 1185, 13175, 269, 634, 3280, 729, 865, 10978, 519, 7784, 2996, 10772, 1025, 539, 269, 634, 3046, 14141, 729, 865, 10978, 621, 1223, 581, 4862, 607, 2484, 2476, 607, 15740, 543, 22768, 563, 18183, 539, 4733, 3203, 20455, 693, 5192, 339, 903, 7921, 3168, 936, 519, 2361, 540, 17292, 9116, 779, 932, 1618, 454, 2690, 936, 606, 5662, 519, 25044, 546, 3241, 4797, 269, 2311, 513, 2370, 2250, 476, 273, 281, 876, 10975, 519, 5742, 3459, 547, 7444, 3247, 20590, 269, 901, 729, 513, 8945, 547, 13587, 633, 519, 28583, 919, 883, 18468, 789, 1185, 5679, 18088, 856, 782, 519, 5742, 15963, 563, 763, 8945, 5249, 543, 693, 476, 274, 281, 876, 10975, 519, 1234, 321, 1564, 11074, 20590, 269, 1358, 941, 849, 5906, 569, 1970, 593, 993, 32099, 543, 2877, 547, 18359, 621, 607, 1454, 607, 2009, 563, 2005, 729, 693, 713, 942, 519, 19524, 540, 519, 20752, 25044, 623, 7163, 12138, 5418, 12184, 609, 17292, 9116, 547, 4323, 1631, 6382, 649, 786, 711, 581, 2111, 547, 1489, 596, 563, 303, 1157, 9116, 32357, 547, 7043, 560, 22901, 6998, 585, 10479, 547, 2253, 519, 4323, 269, 1924, 16339, 1180, 550, 936, 519, 4323, 267, 799, 646, 6785, 1131, 3111, 267, 7043, 560, 22901, 1223, 798, 4986, 811, 982, 3274, 12162, 1010, 2212, 543, 5951, 1010, 1688, 547, 2285, 519, 1931, 547, 17292, 9116, 563, 303, 1157, 9116, 779, 932, 1618, 23548, 1231, 454, 303, 1157, 9116, 779, 932, 1618, 1107, 7348, 689, 519, 20752, 18786, 19024, 454, 3086, 729, 519, 4090, 602, 936, 476, 1321, 267, 1822, 31111, 10136, 7153, 689, 519, 3529, 1899, 543, 20898, 909, 538, 5250, 585, 519, 12556, 995, 15292, 269, 4256, 1292, 1445, 729, 513, 2370, 2941, 572, 540, 4054, 3297, 519, 8549, 3515, 267, 799, 596, 666, 1869, 1294, 2221, 563, 290, 641, 572, 540, 19029, 693, 5192, 339, 903, 7921, 454, 14197, 17292, 9116, 729, 538, 1360, 1164, 14326, 543, 5963, 5156, 1010, 2367, 1131, 581, 2111, 547, 2736, 519, 5742, 3515, 269, 634, 5837, 540, 1010, 2367, 729, 849, 1164, 1317, 789, 849, 5156, 519, 12658, 5644, 1131, 2736, 563, 303, 1157, 9116, 22551, 539, 547, 1010, 2367, 602, 789, 941, 782, 7910, 2103, 543, 547, 3314, 1018, 789, 941, 8165, 585, 269, 2060, 713, 519, 28583, 919, 3323, 4464, 563, 763, 1279, 12457, 1899, 4359, 4724, 1346, 2941, 572, 540, 4054, 693, 513, 11931, 10605, 269, 2311, 1101, 782, 15963, 941, 14980, 1519, 519, 12658, 5644, 269, 634, 5742, 10136, 941, 538, 25713, 7487, 713, 5318, 3196, 540, 8103, 7444, 855, 20406, 16042, 873, 563, 295, 2788, 3118, 2066, 519, 2361, 17292, 9116, 779, 6498, 630, 6518, 729, 711, 13948, 3366, 676, 17292, 9116, 1317, 646, 1185, 18423, 3297, 543, 729, 8384, 519, 6370, 609, 519, 1964, 540, 519, 4971, 619, 264, 5340, 513, 2451, 21933, 1664, 547, 2673, 519, 7934, 1063, 873, 543, 519, 1964, 540, 519, 4559, 563, 303, 1157, 9116, 779, 932, 1618, 1290, 525, 7201, 31105, 454, 1607, 729, 950, 519, 5742, 8118, 909, 609, 741, 25044, 593, 519, 14027, 30280, 269, 1358, 17991, 689, 1312, 30895, 10830, 543, 9741, 18471, 5440, 267, 1793, 2459, 532, 883, 1312, 1166, 3471, 563, 763, 28583, 919, 6368, 6603, 519, 2506, 332, 1080, 7921, 4155, 1152, 547, 581, 21947, 609, 513, 2241, 20545, 269, 901, 2241, 20545, 2705, 5828, 856, 547, 581, 513, 1360, 2352, 21677, 563, 763, 28583, 919, 941, 1631, 538, 29461, 2039, 269, 1358, 1185, 547, 7914, 713, 20545, 543, 538, 3257, 865, 1500, 2653, 9072, 585, 5742, 10136, 267, 519, 20545, 849, 13264, 909, 519, 21272, 543, 30281, 519, 4434, 3648, 563, 303, 1157, 11089, 932, 1618, 1107, 901, 568, 1018, 513, 5742, 17199, 4718, 269, 769, 519, 4099, 568, 519, 20545, 602, 8255, 2059, 519, 661, 2466, 1206, 7921, 10003, 563, 6624, 540, 519, 28583, 919, 2760, 4359, 3564, 519, 2506, 332, 1080, 7921, 4155, 267, 8930, 2740, 1524, 676, 5230, 5742, 29461, 3595, 269, 11153, 4627, 540, 873, 1705, 1832, 14027, 543, 12703, 569, 14593, 4464, 4724, 513, 1970, 6149, 13665, 799, 729, 1175, 538, 4395, 540, 519, 2370, 2941, 572, 540, 4054, 267, 519, 3804, 540, 519, 7013, 4323, 269, 1358, 1185, 6368, 6603, 519, 5742, 1899, 269, 901, 729, 519, 4090, 1141, 519, 6370, 1131, 2901, 581, 4465, 610, 4503, 563, 7476, 339, 903, 7921, 4303, 8422, 1107, 634, 10552, 344, 24234, 454, 26108, 344, 24234, 1773, 12120, 1107, 4400, 4826, 4460, 540, 519, 28583, 2329, 454, 763, 30280, 32357, 519, 6149, 13665, 543, 22266, 1688, 3562, 11804, 8396, 3533, 1671, 4240, 693, 606, 5086, 693, 519, 3774, 269, 898, 729, 1631, 602, 20752, 4937, 11066, 14022, 626, 1737, 28020, 2322, 1010, 11058, 593, 519, 9133, 540, 1010, 18156, 543, 24016, 1010, 2367, 4464, 269, 623, 5241, 519, 5742, 9718, 619, 1394, 519, 30280, 4682, 4464, 936, 519, 6149, 13665, 563, 763, 20752, 7348, 540, 519, 24234, 607, 789, 14059, 454, 26108, 344, 24234, 1107, 5742, 17121, 540, 9931, 454, 30265, 626, 1737, 1152, 1185, 827, 476, 4968, 2367, 1739, 1864, 693, 713, 1448, 855, 1869, 789, 14593, 593, 269, 3371, 729, 606, 25044, 6007, 26017, 676, 29962, 1325, 517, 15605, 595, 5241, 543, 1247, 1010, 2367, 941, 9991, 1394, 595, 5241, 10443, 909, 547, 835, 540, 1010, 15963, 547, 968, 326, 633, 873, 835, 811, 8929, 892, 799, 5828, 856, 547, 581, 1010, 2063, 1913, 269, 1261, 729, 5612, 8929, 538, 519, 24060, 543, 7166, 14678, 9991, 936, 1010, 7784, 563, 1607, 568, 519, 5544, 1141, 595, 5241, 729, 7166, 454, 11947, 4826, 4460, 540, 519, 28583, 2329, 454, 4263, 713, 1360, 4090, 729, 519, 968, 14683, 1216, 1665, 540, 519, 28583, 2329, 892, 693, 519, 968, 26481, 5086, 6100, 901, 729, 519, 5008, 564, 1448, 519, 3162, 2479, 3357, 547, 10888, 519, 6406, 2782, 563, 763, 30280, 6603, 595, 5241, 779, 15963, 543, 14022, 626, 1737, 1631, 609, 1010, 11058, 9991, 547, 519, 554, 2830, 540, 1010, 18156, 24016, 1010, 2367, 547, 2490, 519, 15963, 593, 519, 25463, 651, 525, 563, 290, 5241, 779, 717, 12584, 693, 5192, 339, 903, 7921, 1107, 634, 1234, 321, 1564, 18418, 2299, 6836, 547, 7001, 891, 454, 6524, 8236, 713, 2705, 14022, 626, 1737, 729, 8929, 1614, 2053, 543, 8593, 547, 519, 2666, 269, 3571, 16398, 941, 711, 5156, 547, 581, 14603, 267, 646, 729, 9676, 543, 3144, 547, 513, 5742, 2361, 6413, 585, 2126, 269, 1261, 5747, 593, 5147, 476, 276, 628, 269, 634, 2014, 540, 2669, 568, 711, 13166, 1634, 563, 4462, 542, 8136, 22388, 3430, 2931, 454, 763, 5742, 3533, 23953, 538, 4195, 10136, 547, 4368, 741, 7745, 1899, 543, 4831, 3430, 17977, 563, 297, 20623, 26573, 543, 1010, 29816, 13986, 547, 2743, 519, 26462, 22215, 519, 12658, 5644, 538, 519, 15493, 540, 741, 1899, 269, 26573, 2760, 4951, 909, 269, 1261, 543, 1010, 2367, 10443, 883, 8549, 29816, 26017, 676, 6723, 28226, 595, 13831, 543, 941, 17204, 16550, 873, 547, 11198, 563, 763, 6967, 2367, 540, 17292, 9116, 779, 932, 1618, 941, 16397, 676, 5742, 10136, 543, 7142, 547, 18956, 269, 634, 30280, 19679, 1394, 547, 741, 3312, 3515, 269, 898, 729, 782, 936, 269, 17292, 9116, 779, 5279, 1185, 8959, 563, 3963, 9894, 17292, 9116, 779, 932, 1618, 674, 841, 454, 763, 4323, 729, 513, 9568, 267, 936, 3368, 540, 519, 476, 1321, 267, 4335, 10136, 602, 3323, 519, 4323, 941, 8854, 269, 1358, 941, 4666, 267, 20754, 267, 610, 7508, 269, 17292, 9116, 779, 6498, 1152, 1185, 476, 8517, 2367, 2451, 856, 540, 476, 276, 267, 1822, 563, 7476, 339, 903, 7921, 5742, 543, 20752, 4666, 454, 299, 2465, 3576, 2407, 16620, 585, 713, 5821, 543, 30870, 519, 10136, 607, 789, 8120, 1394, 547, 519, 20752, 3515, 269, 1261, 6836, 547, 5000, 873, 547, 4584, 909, 20711, 956, 543, 5965, 585, 513, 8549, 4831, 3430, 871, 267, 799, 646, 5156, 267, 1131, 581, 8521, 5765, 563, 303, 1157, 9116, 779, 932, 1618, 8959, 585, 1896, 4128, 454, 763, 18631, 25044, 10514, 731, 618, 1705, 711, 1102, 12787, 1082, 25096, 593, 5742, 10136, 543, 621, 849, 1705, 711, 6861, 519, 5742, 25044, 269, 901, 5821, 3366, 547, 519, 5742, 25044, 20739, 9535, 688, 22106, 593, 519, 14027, 28583, 919, 563, 763, 28583, 919, 1705, 711, 723, 2614, 2367, 585, 519, 4323, 267, 607, 4937, 7043, 560, 22901, 19230, 563, 763, 5742, 7952, 729, 538, 513, 1360, 2178, 17872, 2990, 267, 543, 729, 2111, 547, 3362, 6494, 12927, 906, 547, 519, 1858, 563, 763, 1985, 1554, 5147, 476, 275, 628, 519, 1079, 20679, 1350, 1563, 693, 1142, 824, 2066, 519, 1930, 2361, 269, 10557, 1869, 3206, 4937, 2725, 1228, 1131, 4323, 5423, 513, 17872, 1899, 543, 12479, 585, 606, 4323, 547, 2097, 865, 646, 1223, 798, 547, 519, 5742, 1018, 519, 5742, 1705, 547, 1010, 2367, 563, 9288, 1228, 2705, 1185, 824, 2093, 543, 4956, 602, 1010, 10136, 1185, 2944, 811, 982, 2614, 693, 5192, 339, 903, 7921, 543, 1705, 711, 10131, 606, 4323, 269, 2060, 602, 519, 6370, 540, 5192, 339, 903, 7921, 8694, 269, 9050, 3275, 1310, 519, 6370, 14062, 12493, 5795, 835, 540, 1010, 1034, 4583, 18531, 267, 519, 5192, 339, 903, 7921, 17372, 563, 4002, 519, 3781, 540, 5147, 476, 275, 628, 4937, 7917, 661, 269, 10557, 543, 1010, 8136, 540, 8832, 9098, 2451, 519, 5192, 339, 903, 7921, 25071, 11014, 269, 18830, 5518, 12493, 779, 16858, 4937, 2725, 1228, 1705, 711, 4323, 519, 17204, 28583, 919, 543, 9096, 519, 2816, 693, 5192, 339, 903, 7921, 563, 3891, 9247, 1577, 519, 28583, 919, 18956, 267, 799, 6038, 3366, 547, 1010, 10682, 607, 19524, 540, 519, 8136, 540, 519, 8000, 558, 659, 269, 634, 5742, 11124, 476, 2537, 267, 1822, 25096, 543, 519, 28583, 919, 11124, 476, 2764, 267, 1822, 25096, 563, 763, 2241, 2626, 568, 267, 972, 941, 513, 2603, 540, 873, 269, 594, 7447, 972, 941, 693, 2547, 476, 280, 267, 30663, 12959, 1282, 519, 6406, 2782, 269, 2334, 779, 711, 606, 3169, 1297, 543, 519, 5318, 5354, 540, 891, 12959, 941, 1236, 3305, 8460, 1063, 1507, 2516, 563, 4322, 941, 711, 782, 5192, 339, 903, 7921, 2450, 13341, 269, 1879, 519, 6406, 2782, 3459, 538, 476, 5908, 272, 693, 10783, 5681, 614, 519, 8165, 729, 6024, 519, 3003, 942, 909, 2394, 519, 1439, 540, 519, 2112, 538, 476, 5908, 276, 563, 29909, 1169, 2582, 1554, 1282, 519, 6406, 2782, 972, 729, 513, 6370, 610, 1507, 1236, 3305, 880, 12341, 538, 519, 2197, 269, 634, 6406, 2782, 729, 519, 1034, 10795, 942, 538, 1977, 1686, 799, 3366, 547, 519, 7972, 540, 476, 16020, 267, 1822, 4892, 563, 5591, 824, 2112, 519, 2136, 2276, 814, 10692, 814, 2938, 607, 1082, 25096, 607, 519, 1977, 6406, 2782, 269, 634, 1152, 824, 2112, 602, 2501, 2673, 729, 2622, 2782, 5565, 1141, 10199, 476, 22213, 267, 1822, 4892, 941, 7166, 563, 1607, 4786, 2982, 519, 12959, 10692, 1282, 519, 2112, 609, 14222, 1469, 543, 2298, 269, 898, 779, 1434, 585, 7487, 519, 2949, 4605, 540, 782, 540, 519, 8165, 602, 7018, 1282, 519, 2112, 563, 19350, 616, 2143, 11673, 540, 519, 1034, 1134, 8153, 6406, 2782, 12959, 1282, 519, 2112, 269, 1452, 616, 519, 12959, 596, 1419, 5873, 543, 1224, 827, 269, 634, 2164, 540, 891, 12959, 5462, 799, 2427, 729, 2469, 547, 3094, 543, 799, 2427, 729, 2469, 547, 6336, 519, 2112, 563, 9827, 7396, 616, 519, 6406, 2782, 12959, 10692, 538, 1142, 1367, 1533, 563, 763, 12959, 540, 519, 966, 6506, 7921, 5859, 941, 930, 540, 519, 535, 1512, 6827, 543, 1279, 9434, 540, 519, 2112, 269, 901, 729, 547, 581, 519, 2063, 540, 519, 7262, 6830, 19843, 593, 519, 14967, 547, 581, 3144, 693, 782, 1942, 676, 519, 5742, 543, 4937, 16827, 563, 763, 5742, 1185, 3144, 3592, 1169, 2139, 8905, 540, 9101, 2476, 689, 519, 20752, 7952, 543, 729, 26405, 547, 10880, 513, 524, 23774, 1782, 9514, 547, 519, 2112, 4674, 540, 519, 1234, 321, 1564, 563, 763, 5742, 8136, 540, 17906, 267, 896, 519, 5827, 4971, 543, 13085, 5718, 540, 4937, 16827, 563, 3891, 6591, 2698, 1852, 540, 519, 14967, 5211, 676, 9396, 908, 519, 1234, 10964, 4229, 693, 966, 6506, 7921, 269, 634, 5859 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10849, 8079, 1299, 630, 344, 10922, 4990, 10849, 15631, 1345, 11519, 2381, 318, 10849, 8079, 18269, 1452, 17523, 616, 6740, 538, 2387, 296, 12452, 543, 1287, 1031, 547, 6882, 2387, 344, 18269, 901, 1900, 568, 1898, 585, 9427, 856, 11502, 610, 13061, 1239, 2798, 780, 2162, 26659, 692, 18893, 574, 1436, 568, 519, 1184, 540, 4466, 519, 1655, 3070, 689, 782, 15164, 3435, 269, 769, 713, 3009, 6256, 267, 649, 946, 11938, 547, 1265, 519, 5021, 1871, 540, 513, 1599, 269, 634, 1599, 568, 3989, 607, 1384, 2330, 535, 3287, 264, 815, 28363, 3667, 346, 4818, 1393, 18386, 5228, 18386, 10849, 18386, 325, 322, 560, 12917, 302, 30221, 267, 674, 30221, 267, 8884, 267, 1422, 3667, 346, 11328, 1998, 12917, 343, 267, 1422, 13727, 267, 8771, 267, 6936, 4297, 3230, 692, 2080, 267, 2387, 4818, 1393, 318, 5228, 318, 10849, 6958, 322, 560, 319, 568, 513, 1599, 602, 1939, 525, 513, 11973, 1759, 593, 519, 2866, 7422, 2387, 302, 30221, 319, 543, 23004, 2387, 293, 30221, 18269, 634, 2387, 11328, 1998, 3287, 267, 1422, 13727, 267, 8771, 267, 6936, 23375, 5932, 606, 8884, 689, 2387, 343, 319, 547, 20581, 780, 763, 11938, 568, 5340, 1210, 519, 2387, 325, 2381, 319, 1599, 689, 519, 2387, 2675, 27251, 269, 9953, 4476, 319, 9074, 1384, 3499, 7090, 454, 10946, 13448, 815, 11126, 8807, 2381, 6600, 267, 586, 5157, 3910, 476, 868, 565, 284, 271, 269, 272, 267, 7006, 25716, 994, 7884, 763, 2387, 325, 2381, 319, 1599, 8942, 547, 1265, 519, 5934, 540, 519, 1599, 2387, 325, 319, 4358, 693, 519, 3355, 7058, 2387, 344, 5157, 316, 18269, 634, 2387, 868, 565, 319, 9936, 23403, 519, 10892, 585, 26694, 267, 543, 2387, 4134, 335, 319, 11887, 2436, 547, 1820, 19427, 6835, 780, 763, 11938, 568, 5340, 585, 1142, 1239, 1448, 538, 513, 8520, 1384, 3499, 7090, 454, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 12169, 15892, 825, 8884, 815, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 12169, 5157, 3910, 5286, 269, 8882, 267, 8771, 267, 6936, 994, 825, 535, 815, 25754, 1535, 281, 910, 1345, 11519, 13240, 2593, 335, 1393, 318, 5228, 318, 10849, 6958, 322, 560, 263, 302, 30221, 267, 674, 30221, 267, 8884, 267, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 3287, 267, 5286, 269, 8882, 267, 8771, 267, 6936, 4917, 825, 535, 273, 815, 25754, 1535, 281, 1535, 265, 1345, 11519, 13240, 2593, 335, 1393, 318, 5228, 318, 10849, 6958, 322, 560, 263, 302, 30221, 267, 674, 30221, 267, 8884, 267, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 3287, 267, 5286, 269, 8882, 267, 8771, 267, 6936, 4917, 825, 535, 338, 815, 25754, 1535, 281, 1582, 11519, 13240, 2593, 335, 1393, 318, 5228, 318, 10849, 6958, 322, 560, 263, 302, 30221, 267, 674, 30221, 267, 8884, 267, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 3287, 267, 5286, 269, 8882, 267, 8771, 267, 6936, 4917, 825, 3193, 13448, 815, 11126, 8807, 2381, 6600, 267, 586, 5157, 3910, 476, 868, 565, 284, 271, 269, 272, 267, 7006, 25716, 994, 825, 1535, 5157, 316, 815, 3193, 13448, 454, 7884, 2690, 1142, 1239, 1448, 267, 513, 1007, 8884, 568, 2813, 267, 543, 519, 1599, 2387, 325, 319, 568, 3989, 269, 634, 11938, 568, 1287, 5340, 267, 543, 519, 5021, 1871, 568, 6740, 538, 2387, 343, 5157, 316, 27471, 7661, 267, 519, 1599, 7024, 519, 20979, 2418, 2387, 343, 319, 543, 519, 3312, 1239, 2798, 2387, 344, 319, 1384, 3499, 7090, 454, 8873, 1535, 267, 586, 454, 7884, 1607, 3009, 6256, 9727, 519, 2956, 540, 1239, 840, 30112, 543, 11938, 538, 5124, 269, 1635, 19003, 856, 13061, 1239, 2798, 543, 4466, 519, 5021, 1871, 540, 513, 1599, 267, 649, 666, 2744, 3407, 4030, 689, 938, 1239, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 283, 1582, 11519, 2381, 318, 10849, 265, 273, 912, 3546, 1820, 834, 32451, 1906, 1239, 2798, 950, 1295, 318, 10849, 568, 1305, 4840, 3546, 19523, 20216, 527, 4590, 2018, 594, 815, 5286, 269, 3602, 9230, 344, 13843, 4990, 10849, 314, 1345, 11519, 2381, 318, 10849, 8079, 1299, 630, 344, 10922, 4990, 10849, 15631, 1345, 11519, 2381, 318, 10849, 316, 4297, 314, 271, 2639, 2018, 586, 815, 586, 314, 296, 6540, 1038, 1535, 815, 5286, 8542, 534, 265, 12639, 269, 2158, 12759, 12169, 1070, 1412, 15615, 5073, 1038, 1104, 1085, 27251, 269, 9953, 4476, 692, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 12169, 15892, 2018, 1948, 1448, 653, 269, 583, 559, 269, 2889, 28698, 318, 8663, 263, 15615, 9217, 264, 1315, 7003, 12169, 1070, 476, 3199, 994, 2018, 8884, 815, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 12169, 5157, 3910, 5286, 269, 8882, 267, 8771, 267, 6936, 994, 2018, 535, 815, 25754, 1535, 281, 910, 1345, 11519, 13240, 2593, 335, 1393, 318, 5228, 318, 10849, 6958, 322, 560, 263, 302, 30221, 267, 674, 30221, 267, 8884, 267, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 3287, 267, 5286, 269, 8882, 267, 8771, 267, 6936, 4917, 2018, 535, 273, 815, 25754, 1535, 281, 1535, 265, 1345, 11519, 13240, 2593, 335, 1393, 318, 5228, 318, 10849, 6958, 322, 560, 263, 302, 30221, 267, 674, 30221, 267, 8884, 267, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 3287, 267, 5286, 269, 8882, 267, 8771, 267, 6936, 4917, 2018, 535, 338, 815, 25754, 1535, 281, 1582, 11519, 13240, 2593, 335, 1393, 318, 5228, 318, 10849, 6958, 322, 560, 263, 302, 30221, 267, 674, 30221, 267, 8884, 267, 2357, 604, 269, 5793, 1998, 269, 11328, 1998, 3287, 267, 5286, 269, 8882, 267, 8771, 267, 6936, 4917, 2018, 3193, 13448, 815, 1085, 27251, 269, 9953, 4476, 8807, 2381, 6600, 267, 586, 5157, 3910, 476, 868, 565, 284, 271, 269, 272, 267, 7006, 25716, 994, 2018, 1535, 5157, 316, 815, 3193, 13448, 692, 1038, 2132, 1535, 267, 586, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5269, 513, 9839, 344, 2296, 16505, 9724, 899, 513, 17813, 2961, 30905, 692, 17954, 752, 9724, 568, 1419, 2808, 519, 1034, 1271, 7594, 540, 519, 1554, 267, 3246, 519, 2556, 1648, 543, 5567, 547, 14736, 11034, 707, 10307, 543, 5965, 596, 585, 519, 2591, 6619, 269, 1280, 1346, 609, 513, 2648, 585, 16546, 7964, 610, 3274, 5275, 513, 11423, 14254, 4781, 267, 713, 14392, 786, 3391, 596, 998, 2870, 513, 2295, 344, 2296, 14254, 24188, 540, 513, 5198, 1286, 9920, 781, 840, 268, 15869, 4492, 5346, 269, 901, 8101, 6640, 21649, 3335, 2882, 5798, 267, 28019, 267, 30725, 1137, 267, 3109, 30077, 532, 267, 1989, 2683, 14274, 267, 17228, 267, 19323, 10365, 267, 547, 770, 267, 543, 7873, 9323, 971, 607, 11337, 577, 1575, 267, 6960, 14036, 267, 610, 3905, 14036, 269, 2913, 781, 2253, 2439, 2162, 23123, 1384, 265, 476, 273, 1804, 5798, 630, 16451, 2039, 952, 2009, 994, 265, 476, 275, 678, 553, 1667, 540, 28655, 1792, 21294, 28019, 454, 265, 476, 275, 2298, 20230, 30725, 1137, 454, 265, 476, 272, 20105, 540, 3109, 30077, 532, 454, 265, 476, 273, 5420, 13355, 11903, 14274, 454, 265, 476, 273, 2823, 984, 10314, 610, 6806, 7484, 17228, 454, 265, 476, 272, 666, 540, 19323, 10365, 454, 265, 476, 275, 21100, 540, 2898, 22596, 3694, 454, 265, 19643, 610, 5768, 25978, 585, 10825, 454, 265, 17865, 543, 14723, 547, 6492, 454, 265, 29106, 610, 10448, 3282, 585, 31068, 454, 265, 918, 21255, 1575, 267, 6960, 14036, 267, 610, 3905, 14036, 585, 7674, 630, 28436, 2020, 2162, 16811, 1384, 265, 6348, 3613, 1157, 31068, 3443, 630, 26171, 2614, 547, 13918, 782, 5820, 994, 265, 6182, 650, 26745, 610, 14089, 24646, 454, 265, 1677, 2120, 610, 1989, 650, 585, 1818, 547, 770, 454, 265, 1975, 520, 3121, 610, 10209, 338, 585, 1166, 6235, 5820, 454, 265, 2052, 1930, 518, 630, 604, 1210, 27574, 19323, 10365, 994, 265, 17934, 585, 726, 908, 519, 11273, 3688, 454, 265, 12928, 1057, 543, 23643, 585, 4189, 692, 2162, 27491, 1384, 1262, 3721, 476, 272, 5093, 2776, 17742, 519, 1989, 650, 547, 1164, 3002, 269, 1403, 596, 1810, 1405, 723, 1569, 547, 513, 1989, 650, 267, 1305, 11735, 513, 6676, 543, 16833, 621, 538, 11956, 23240, 269, 1411, 3513, 991, 713, 2663, 950, 5986, 519, 30725, 1137, 780, 1262, 7659, 9133, 4995, 1635, 4358, 609, 519, 1989, 650, 267, 649, 2327, 14961, 11273, 543, 5594, 5743, 6853, 30725, 1137, 1510, 7683, 7432, 873, 538, 513, 3443, 269, 898, 849, 2636, 721, 547, 1617, 527, 2532, 824, 3334, 1247, 789, 3434, 780, 315, 265, 315, 22177, 1262, 3721, 476, 273, 5093, 9255, 519, 30725, 1137, 5196, 519, 1989, 650, 26745, 610, 14089, 24646, 269, 13648, 896, 519, 840, 515, 730, 1989, 650, 585, 5111, 476, 279, 268, 1015, 3764, 267, 7432, 12212, 2394, 789, 616, 11344, 6960, 543, 4628, 11273, 269, 17968, 267, 1747, 519, 20386, 6676, 538, 519, 17196, 543, 3002, 519, 30725, 1137, 585, 476, 274, 268, 276, 3764, 267, 4470, 593, 741, 11098, 269, 4495, 2944, 267, 4894, 519, 30725, 1137, 689, 2901, 1505, 543, 1832, 3636, 780, 1262, 7659, 23988, 4995, 11408, 2638, 602, 519, 30725, 1137, 616, 8499, 11273, 676, 5969, 835, 1930, 269, 1703, 1058, 581, 1100, 11909, 6967, 3330, 269, 1403, 18516, 267, 2132, 873, 547, 519, 1989, 650, 610, 17196, 585, 3606, 942, 780, 315, 265, 315, 22177, 1262, 3721, 476, 274, 5093, 2755, 519, 30725, 1137, 616, 1989, 3739, 267, 13248, 513, 1507, 2179, 540, 14462, 610, 10448, 3282, 883, 519, 1875, 3613, 1157, 31068, 3443, 936, 5420, 3002, 269, 5410, 519, 28019, 678, 553, 1667, 267, 4180, 789, 798, 711, 16937, 1932, 1454, 269, 674, 787, 585, 1472, 476, 277, 268, 279, 3764, 610, 2394, 26546, 543, 11344, 6960, 267, 1166, 6235, 28870, 998, 269, 17179, 689, 519, 3443, 543, 8963, 4430, 3170, 593, 1957, 28734, 1354, 11093, 593, 519, 3636, 539, 6676, 780, 1262, 7659, 9133, 4995, 17797, 519, 3002, 9935, 547, 2061, 8781, 269, 17786, 6853, 2943, 13035, 28019, 2488, 6099, 9403, 543, 8137, 780, 315, 265, 315, 22177, 1262, 3721, 476, 275, 5093, 4635, 519, 1482, 31068, 3443, 267, 2333, 519, 3002, 5594, 543, 1039, 811, 3282, 952, 2877, 269, 9255, 519, 30000, 3109, 30077, 532, 538, 519, 3443, 543, 3434, 585, 476, 273, 268, 274, 3764, 829, 2427, 269, 6145, 519, 30725, 1137, 267, 2327, 972, 568, 1100, 11909, 6967, 3330, 2899, 2759, 1930, 269, 18734, 547, 519, 3636, 539, 6676, 2390, 12032, 780, 1262, 7659, 9133, 4995, 4563, 30077, 532, 3568, 1973, 543, 28113, 267, 4758, 621, 513, 2189, 8137, 9043, 269, 2368, 1004, 4782, 621, 1134, 2275, 10541, 267, 865, 4188, 5986, 2053, 1759, 593, 2123, 13283, 780, 315, 265, 315, 22177, 1262, 3721, 476, 276, 5093, 2060, 519, 3109, 30077, 532, 6569, 267, 2569, 519, 3002, 1394, 547, 5420, 269, 15434, 1188, 1312, 5798, 883, 5094, 6810, 540, 519, 31068, 3443, 269, 17897, 21066, 609, 6070, 543, 28448, 2666, 3109, 14723, 269, 14190, 873, 547, 3434, 3768, 626, 32328, 585, 10199, 476, 274, 268, 275, 3764, 610, 2394, 16543, 616, 1305, 543, 586, 565, 802, 3914, 5551, 11007, 269, 4469, 760, 5402, 609, 513, 22883, 3121, 543, 3434, 585, 1776, 8792, 952, 9053, 269, 22391, 519, 11273, 5798, 5196, 519, 3636, 539, 6676, 780, 1262, 7659, 9133, 4995, 3683, 2653, 267, 13566, 2427, 909, 267, 1093, 3737, 910, 3442, 627, 31295, 4212, 7041, 17015, 707, 16681, 256, 3807, 3314, 602, 2196, 333, 1512, 586, 565, 802, 1683, 17381, 2429, 519, 8670, 780, 315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 901, 3635, 814, 811, 8228, 5751, 563, 258, 2549, 603, 267, 476, 4905, 270, 6349, 270, 1001, 276, 692, 2745, 834, 27746, 1185, 513, 2370, 23758, 4799, 2745, 834, 21132, 25176, 576, 729, 3043, 607, 4939, 338, 1701, 4939, 1412, 338, 852, 7055, 2745, 834, 4517, 10876, 602, 6307, 4682, 4799, 2745, 1412, 9538, 2608, 476, 1015, 1948, 713, 16493, 519, 1412, 9538, 4557, 2053, 780, 754, 272, 815, 1412, 290, 7055, 754, 273, 815, 1412, 327, 7055, 754, 274, 815, 1412, 324, 7055, 754, 275, 815, 1439, 274, 454, 754, 276, 815, 1412, 338, 7055, 754, 277, 815, 1412, 324, 7055, 754, 278, 815, 1412, 289, 7055, 754, 279, 815, 1412, 340, 7055, 754, 280, 815, 1412, 337, 7055, 754, 1015, 815, 1412, 326, 7055, 754, 1556, 815, 1439, 274, 454, 754, 1321, 815, 1439, 280, 692, 258, 13772, 602, 26893, 693, 519, 1439, 269, 898, 1281, 1945, 16681, 2336, 2745, 1439, 272, 1341, 1439, 273, 1341, 1439, 274, 1341, 1439, 275, 1341, 1439, 276, 1341, 1439, 277, 267, 1948, 4063, 519, 26893, 1934, 2336, 2745, 1439, 278, 1341, 1439, 279, 1341, 1439, 280, 1341, 1439, 1015, 1341, 1439, 1556, 1341, 1439, 1321, 692, 258, 23719, 519, 26893, 563, 2745, 1439, 272, 1341, 1439, 273, 1341, 1439, 274, 1341, 1439, 275, 1341, 1439, 276, 1341, 1439, 277, 454, 2745, 1439, 278, 1341, 1439, 279, 1341, 1439, 280, 1341, 1439, 1015, 1341, 1439, 1556, 1341, 1439, 1321, 454, 0, 258, 901, 3635, 3096, 2415, 341, 543, 6151, 17750, 1927, 563, 258, 2549, 603, 267, 476, 4905, 270, 1556, 692, 5228, 19523, 1104, 2415, 341, 692, 339, 787, 281, 3097, 825, 7097, 267, 3593, 11243, 815, 2415, 341, 454, 21955, 912, 825, 1820, 834, 11767, 707, 2012, 1310, 519, 1982, 2012, 5016, 258, 901, 4756, 5401, 568, 1031, 538, 782, 6151, 17750, 7125, 563, 335, 668, 696, 815, 1412, 259, 1412, 692, 2745, 834, 17098, 4939, 338, 267, 594, 6415, 519, 4939, 338, 7097, 1701, 4939, 630, 12528, 11243, 267, 7097, 994, 2745, 834, 296, 9364, 899, 547, 2307, 596, 513, 1906, 2055, 4799, 2745, 834, 2710, 596, 899, 803, 267, 4939, 338, 8119, 4939, 3593, 11243, 454, 331, 10105, 815, 6151, 17750, 9638, 668, 696, 2020, 2745, 834, 8489, 798, 596, 2661, 267, 4939, 338, 8119, 4939, 3593, 11243, 454, 331, 1161, 815, 6151, 17750, 9638, 668, 696, 2020, 2745, 834, 1432, 2186, 540, 2780, 798, 596, 723, 24350, 26367, 815, 6151, 17750, 9638, 668, 696, 2020, 258, 901, 5727, 2636, 3818, 1899, 12673, 563, 2745, 5727, 3097, 2704, 2431, 256, 1924, 596, 1767, 4939, 337, 827, 6010, 532, 803, 563, 2791, 2661, 538, 4939, 337, 267, 711, 2731, 2386, 1141, 602, 568, 563, 2791, 723, 513, 4939, 337, 2780, 269, 26419, 3579, 2336, 18851, 4939, 630, 331, 10105, 267, 2729, 267, 2780, 994, 0, 5814, 3060, 343, 607, 562, 343, 454, 5814, 4351, 454, 5814, 21267, 28272, 607, 12301, 7531, 3698, 2596, 5332, 13246, 14116, 281, 562, 343, 14371, 1429, 2187, 825, 1820, 6600, 257, 10831, 540, 715, 3941, 630, 24576, 2567, 476, 2715, 326, 8542, 3784, 15058, 5332, 3941, 3890, 348, 5602, 825, 1820, 6600, 257, 10831, 540, 3798, 2471, 630, 23917, 2567, 2715, 326, 8542, 3784, 15058, 318, 539, 2471, 3890, 348, 5602, 825, 1948, 4179, 2517, 6339, 1740, 343, 3052, 603, 889, 269, 1470, 7933, 17805, 566, 23995, 762, 270, 10915, 2397, 270, 10090, 730, 270, 6339, 1740, 343, 269, 5035, 525, 8807, 4233, 6155, 3748, 11258, 454, 825, 1820, 6600, 257, 291, 3748, 2715, 1598, 3799, 343, 6155, 3748, 14116, 4297, 348, 257, 9239, 258, 4179, 2517, 6339, 1740, 343, 3052, 603, 889, 269, 1470, 7933, 17805, 566, 23995, 762, 270, 10915, 2397, 270, 14607, 3596, 916, 270, 10090, 730, 270, 6339, 1740, 343, 269, 14607, 3596, 916, 269, 13627, 11582, 17085, 755, 1359, 318, 1723, 324, 2310, 18502, 2071, 318, 743, 755, 1359, 11258, 454, 3698, 24159, 318, 1723, 324, 2310, 14116, 281, 562, 343, 14371, 1429, 2187, 825, 952, 575, 18994, 5091, 20526, 10031, 1038, 1820, 2891, 743, 755, 1359, 11664, 711, 8045, 585, 9859, 11708, 5602, 825, 3116, 912, 1038, 1820, 6600, 257, 743, 755, 1359, 11664, 281, 2715, 1598, 3799, 343, 18502, 2071, 318, 743, 755, 1359, 14116, 4297, 348, 257, 9239, 258, 4179, 2517, 6339, 1740, 343, 3052, 603, 889, 269, 1470, 7933, 17805, 566, 23995, 762, 270, 10915, 2397, 270, 14607, 3596, 916, 270, 10090, 730, 270, 6339, 1740, 343, 269, 14607, 3596, 916, 17085, 13831, 17085, 755, 1359, 11258, 454, 3698, 24159, 5091, 626, 9084, 14116, 281, 562, 343, 14371, 1429, 267, 2012, 281, 1193, 2187, 825, 1948, 1939, 525, 24159, 11664, 585, 1142, 6843, 454, 825, 1948, 1267, 568, 513, 4786, 281, 6843, 9847, 11664, 454, 825, 24159, 281, 9598, 815, 562, 343, 17085, 755, 1359, 14116, 2020, 825, 2721, 318, 7290, 6945, 263, 743, 755, 1359, 269, 11161, 19572, 535, 257, 5141, 755, 1359, 11664, 3892, 540, 2715, 4067, 348, 2580, 834, 5141, 755, 1359, 11664, 257, 9239, 258, 4179, 2517, 6339, 1740, 343, 3052, 603, 889, 269, 1470, 7933, 17805, 566, 23995, 762, 270, 10915, 2397, 270, 14607, 3596, 916, 270, 10090, 730, 270, 6339, 1740, 343, 269, 14607, 3596, 916, 11075, 677, 652, 7272, 23411, 269, 10090, 545, 18502, 2071, 318, 26211, 652, 24786, 28747, 11258, 454, 3698, 3328, 318, 26211, 652, 24786, 28747, 14116, 2187, 825, 952, 711, 575, 18994, 5091, 20526, 3890, 543, 562, 343, 18994, 318, 8588, 14116, 2187, 1038, 1820, 6600, 21202, 2071, 20125, 2619, 3259, 281, 2715, 1598, 3799, 343, 18502, 2071, 318, 26211, 652, 24786, 28747, 14116, 4297, 348, 5602, 825, 3116, 912, 1038, 1820, 2891, 322, 656, 12337, 3328, 20125, 2619, 3259, 267, 3113, 9859, 610, 3113, 711, 4448, 257, 9239, 258, 4179, 2517, 6339, 1740, 343, 3052, 603, 889, 269, 1470, 7933, 17805, 566, 23995, 762, 270, 10915, 2397, 270, 14607, 3596, 916, 270, 10090, 730, 270, 6339, 1740, 343, 269, 14607, 3596, 916, 6155, 2700, 318, 1889, 9778, 6155, 3554, 2678, 11258, 454, 3698, 8006, 14116, 281, 562, 343, 14371, 1429, 2187, 825, 952, 711, 575, 18994, 5091, 20526, 3890, 543, 562, 343, 18994, 318, 8588, 14116, 2187, 1038, 1820, 6600, 257, 291, 3554, 2678, 281, 2715, 333, 343, 6155, 3554, 2678, 14116, 14587, 5602, 825, 3116, 912, 1038, 1820, 2891, 291, 3554, 2678, 711, 1939, 762, 267, 3113, 711, 4448, 610, 568, 9859, 257, 9239, 258, 4179, 2517, 6339, 1740, 343, 3052, 603, 889, 269, 1470, 7933, 17805, 566, 23995, 762, 270, 10915, 2397, 270, 14607, 3596, 916, 270, 10090, 730, 270, 6339, 1740, 343, 269, 14607, 3596, 916, 269, 13627, 11582, 269, 6618, 2032, 8542, 1712, 318, 6618, 2032, 11258, 454, 3698, 14479, 14116, 281, 562, 343, 14371, 1429, 2187, 825, 1820, 6600, 257, 21010, 2032, 281, 2715, 333, 343, 8542, 1712, 318, 6618, 2032, 14116, 14587, 257, 9239, 258, 3096, 6843, 318, 6618, 2032, 1599, 607, 1657, 454, 258, 6843, 318, 6618, 2032, 568, 519, 1297, 540, 9136, 602, 1590, 581, 6569, 547, 31028, 519, 3113, 454, 3698, 14429, 4369, 14116, 281, 562, 343, 14371, 1429, 267, 642, 2187, 825, 1354, 815, 562, 343, 8542, 1712, 318, 6618, 2032, 14116, 994, 825, 5299, 815, 575, 6983, 4878, 4590, 825, 5299, 31927, 17045, 17635, 994, 825, 1310, 815, 562, 343, 8542, 1712, 318, 6618, 2032, 6262, 4878, 994, 825, 1948, 1820, 6600, 257, 29592, 281, 2715, 29592, 348, 1310, 281, 2715, 12898, 9574, 14429, 4369, 540, 6843, 2715, 341, 348, 281, 2715, 29592, 910, 1310, 348, 5602, 825, 2132, 1354, 910, 1310, 7531, 3698, 1379, 9078, 1177, 318, 27393, 2906, 14116, 281, 562, 343, 14371, 1429, 267, 2012, 281, 1193, 2187, 825, 5232, 815, 11713, 825, 585, 6843, 5091, 12801, 7272, 1515, 538, 562, 343, 6155, 12801, 14116, 2187, 1038, 5232, 6910, 27316, 5091, 12801, 7272, 1515, 314, 272, 20285, 825, 2721, 318, 7290, 6945, 5560, 1122, 4181, 267, 535, 257, 291, 12801, 3892, 540, 2715, 4067, 348, 2580, 834, 323, 12801, 2580, 10822, 18045, 284, 1911, 9239, 3698, 14429, 4369, 5091, 626, 9084, 14116, 281, 562, 343, 14371, 1429, 267, 2012, 281, 1193, 2187, 825, 2855, 815, 11713, 825, 585, 6843, 538, 575, 8542, 3941, 912, 1038, 2855, 6910, 263, 1723, 1127, 4369, 14116, 267, 6843, 11723, 825, 2721, 318, 7290, 6945, 19906, 267, 535, 257, 10870, 1127, 4369, 3892, 540, 2715, 4067, 348, 2580, 834, 10870, 1127, 4369, 257, 9239, 3698, 6316, 7272, 619, 14571, 14682, 7517, 344, 318, 3430, 871, 14116, 281, 562, 343, 14371, 1429, 267, 2012, 281, 1193, 2187, 825, 5299, 815, 575, 6983, 4878, 4590, 825, 1948, 3355, 1125, 519, 642, 1513, 454, 825, 6569, 5332, 3941, 15461, 318, 14706, 5091, 12801, 18380, 815, 9598, 4590, 825, 4642, 5091, 12801, 18045, 815, 476, 271, 454, 825, 6569, 5332, 3941, 18045, 815, 476, 271, 692, 825, 1948, 10956, 713, 2394, 782, 9136, 616, 9678, 454, 825, 1247, 4642, 5091, 12801, 18045, 2999, 5299, 8542, 3784, 15058, 5332, 3941, 10031, 1038, 5207, 4671, 340, 921, 815, 7183, 454, 1038, 4642, 5091, 12801, 18045, 815, 476, 271, 454, 1038, 1948, 1265, 6843, 609, 5207, 4110, 543, 1293, 9136, 609, 4642, 4110, 693, 519, 1482, 942, 454, 1038, 1948, 1797, 4642, 5091, 12801, 18045, 8637, 519, 1297, 540, 9678, 9136, 1310, 519, 2063, 8851, 454, 1038, 1948, 4061, 4688, 713, 1354, 9427, 513, 1007, 6843, 543, 2899, 1310, 519, 1247, 8520, 547, 1205, 782, 2418, 454, 1038, 585, 7127, 538, 562, 343, 6155, 12801, 6262, 4878, 2187, 2018, 1948, 7127, 314, 271, 316, 568, 519, 6843, 267, 7127, 314, 272, 316, 922, 4110, 454, 2018, 952, 5207, 4671, 340, 921, 568, 7183, 912, 3546, 5207, 4671, 340, 921, 815, 7127, 454, 2018, 8640, 5207, 4671, 340, 921, 314, 272, 316, 2999, 7127, 314, 272, 14158, 3546, 5207, 4671, 340, 921, 815, 7127, 692, 2018, 952, 7127, 314, 272, 316, 2652, 476, 271, 912, 3546, 4642, 5091, 12801, 18045, 6834, 476, 272, 692, 1038, 1948, 4558, 519, 1699, 1297, 540, 9678, 9136, 25528, 547, 519, 6569, 9136, 543, 2698, 9136, 454, 1038, 6569, 5332, 3941, 15461, 318, 14706, 5091, 12801, 18380, 314, 8145, 3437, 5332, 3941, 18045, 316, 815, 4642, 5091, 12801, 18045, 476, 1948, 2073, 5299, 8542, 3784, 15058, 5332, 3941, 4590, 1038, 1948, 1631, 4894, 519, 6843, 609, 519, 5207, 4110, 543, 2333, 519, 4831, 454, 1038, 1948, 952, 5207, 4671, 340, 921, 314, 272, 316, 2652, 476, 271, 267, 1287, 519, 1247, 8520, 13515, 454, 1038, 952, 5207, 4671, 340, 921, 314, 272, 316, 3436, 476, 271, 912, 2018, 1948, 1820, 6600, 257, 8145, 8221, 6843, 2715, 327, 580, 4554, 4671, 340, 921, 314, 271, 316, 348, 8442, 476, 1948, 585, 3181, 19982, 454, 2018, 5299, 31927, 17045, 22607, 580, 4554, 4671, 340, 921, 314, 271, 7481, 2018, 6569, 5332, 3941, 18045, 6834, 476, 272, 692, 825, 1948, 1039, 585, 519, 2063, 8851, 454, 825, 6569, 5332, 3941, 15461, 318, 14706, 5091, 12801, 18380, 314, 8145, 3437, 5332, 3941, 18045, 316, 815, 4642, 5091, 12801, 18045, 476, 1948, 2073, 5299, 8542, 3784, 15058, 5332, 3941, 10797, 825, 12301, 19502, 263, 8145, 3437, 5332, 3941, 15461, 318, 14706, 5091, 12801, 18380, 269, 12399, 19572, 6569, 5332, 3941, 15461, 318, 14706, 5091, 12801, 18380, 269, 11161, 15405, 825, 12301, 26644, 2891, 10955, 613, 18094, 1996, 6067, 9037, 31105, 5602, 825, 12301, 11859, 16932, 2891, 7230, 3437, 9136, 1293, 5602, 825, 12301, 269, 29786, 2891, 3674, 565, 730, 9136, 1293, 15419, 825, 12301, 4732, 1511, 14808, 2891, 16059, 270, 8354, 7272, 619, 14571, 14682, 7517, 344, 318, 257, 1341, 2012, 1341, 834, 269, 335, 978, 5602, 825, 12301, 17085, 325, 30800, 3698, 6043, 318, 28785, 560, 4671, 1173, 9643, 318, 3430, 2931, 14116, 281, 562, 343, 14371, 1429, 2187, 825, 5299, 815, 575, 6983, 4878, 4590, 825, 1948, 3355, 1125, 519, 642, 1513, 454, 825, 6569, 5332, 3941, 18045, 815, 476, 271, 692, 825, 1948, 10956, 713, 2394, 519, 3113, 568, 30890, 454, 825, 1948, 9060, 9136, 609, 519, 9803, 4110, 543, 18788, 7023, 9136, 547, 31028, 873, 454, 825, 1247, 562, 343, 18994, 318, 8588, 6262, 4878, 2187, 1038, 9803, 4671, 340, 921, 815, 7183, 454, 1038, 1948, 1265, 6843, 609, 9803, 4110, 454, 1038, 585, 7127, 538, 562, 343, 6155, 12801, 6262, 4878, 2187, 2018, 1948, 7127, 314, 271, 316, 568, 519, 6843, 267, 7127, 314, 272, 316, 922, 4110, 454, 2018, 952, 9803, 4671, 340, 921, 568, 7183, 912, 3546, 9803, 4671, 340, 921, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14237, 513, 811, 8746, 4528, 540, 6000, 269, 22737, 891, 2035, 267, 543, 4585, 607, 707, 1378, 2189, 1769, 5956, 547, 19542, 17321, 982, 2479, 1354, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 8085, 1892, 288, 308, 294, 476, 1708, 273, 5990, 19739, 25770, 5508, 5990, 645, 12788, 7473, 312, 28960, 19851, 23802, 454, 15578, 700, 308, 311, 7838, 312, 32199, 16604, 454, 5978, 22478, 540, 26192, 24006, 324, 16164, 3249, 454, 289, 12788, 7473, 312, 12327, 17269, 4959, 645, 19272, 2659, 6651, 1548, 1677, 6423, 454, 4178, 1547, 335, 599, 334, 512, 2593, 589, 3318, 666, 5660, 519, 5898, 540, 519, 9796, 582, 717, 3424, 2060, 27619, 5358, 5272, 476, 1789, 2395, 1247, 9796, 582, 2847, 527, 658, 2478, 707, 7218, 2960, 267, 519, 717, 3424, 5358, 10069, 2478, 707, 1870, 269, 1715, 13344, 267, 1007, 3260, 687, 543, 7082, 10229, 616, 2300, 639, 1947, 6131, 547, 519, 2892, 517, 4648, 543, 741, 5561, 269, 15012, 721, 585, 513, 10516, 609, 6718, 1982, 602, 5170, 547, 3142, 5561, 1394, 547, 707, 2892, 517, 269, 1280, 2407, 3877, 540, 519, 476, 1321, 3923, 9796, 582, 717, 3424, 2060, 27619, 5358, 1289, 476, 6349, 476, 7176, 278, 275, 476, 14138, 277, 610, 476, 9873, 271, 476, 3607, 278, 476, 280, 7597, 563, 4178, 4877, 599, 582, 2593, 1923, 6443, 721, 454, 763, 12411, 8684, 10896, 27620, 585, 9540, 28805, 1299, 8752, 7200, 978, 525, 454, 763, 4107, 5295, 995, 5800, 762, 10896, 3590, 538, 519, 2622, 454, 763, 667, 1069, 2728, 343, 10222, 8862, 1511, 11022, 19752, 513, 1007, 5736, 538, 10896, 7353, 8839, 5574, 267, 11319, 519, 6302, 540, 2564, 10896, 2029, 543, 1985, 1377, 4791, 3498, 269, 29817, 335, 5803, 1164, 27703, 267, 2582, 15423, 27178, 609, 642, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18183, 2064, 4425, 24031, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 7763, 643, 1049, 1299, 6184, 2869, 1049, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 606, 3078, 1007, 7045, 538, 9119, 256, 4653, 649, 616, 2469, 547, 4685, 883, 519, 13858, 1158, 540, 11938, 998, 513, 4480, 1572, 12430, 14691, 269, 3767, 1810, 1405, 1577, 1346, 2462, 1913, 29057, 596, 910, 621, 781, 2965, 4443, 982, 596, 1522, 1589, 543, 666, 948, 596, 1831, 811, 3608, 693, 6061, 1483, 8996, 2042, 269, 1924, 10544, 707, 3206, 11503, 543, 1205, 4712, 2439, 4131, 781, 1376, 609, 1620, 1018, 11938, 1797, 269, 5994, 3843, 547, 1265, 519, 1655, 1259, 547, 15814, 13212, 1851, 707, 2828, 865, 602, 3025, 4991, 930, 855, 1100, 11945, 568, 2451, 3297, 269, 1411, 1616, 547, 11126, 519, 3892, 547, 2327, 14619, 1247, 849, 1818, 2386, 782, 13212, 616, 1031, 909, 269, 901, 1523, 10039, 13974, 950, 7231, 609, 2338, 3079, 540, 13212, 282, 713, 568, 1141, 12430, 14691, 2501, 538, 13561, 780, 3383, 1018, 4010, 568, 12430, 14691, 286, 898, 781, 513, 1505, 1031, 547, 1265, 519, 1412, 12895, 3070, 262, 630, 9953, 574, 1436, 264, 689, 2789, 3681, 676, 2870, 543, 7421, 6310, 3347, 1634, 607, 5276, 4834, 610, 16526, 269, 1452, 4125, 2241, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 4238, 1063, 4632, 543, 21635, 269, 5213, 1405, 5855, 952, 891, 2474, 3280, 14542, 1318, 1631, 1107, 649, 786, 2736, 873, 1524, 1927, 2429, 713, 3992, 780, 3086, 267, 4952, 596, 2196, 513, 1507, 29221, 2044, 543, 991, 547, 6430, 875, 1082, 3138, 2314, 540, 3694, 543, 544, 4428, 1231, 547, 27106, 3232, 547, 11694, 12434, 269, 1677, 1832, 1919, 2241, 267, 15475, 972, 616, 1152, 1079, 5820, 2139, 281, 7912, 543, 5798, 269, 3962, 3138, 2378, 540, 3694, 3340, 476, 273, 11680, 540, 7912, 543, 476, 272, 4212, 267, 1247, 1142, 544, 4428, 514, 3217, 476, 272, 7484, 540, 7912, 543, 476, 273, 5798, 269, 3958, 267, 519, 1942, 829, 7484, 540, 7912, 568, 1269, 271, 269, 2004, 267, 543, 1142, 4212, 3790, 1269, 271, 269, 736, 269, 14936, 267, 596, 666, 6133, 1142, 3138, 2378, 540, 3694, 585, 1269, 273, 269, 876, 543, 1169, 544, 4428, 514, 585, 1269, 272, 269, 2004, 269, 1215, 1131, 596, 3313, 519, 6099, 1297, 540, 3694, 3138, 2314, 543, 544, 4428, 1231, 547, 3132, 1169, 1554, 286, 2334, 781, 1141, 12430, 14691, 31438, 2439, 5575, 267, 649, 3651, 4632, 547, 2099, 7164, 9424, 269, 2913, 1535, 815, 1297, 540, 3694, 3138, 2314, 543, 586, 815, 1297, 540, 544, 4428, 1231, 3812, 3232, 269, 3776, 3804, 568, 547, 1711, 513, 1599, 8204, 2698, 7443, 267, 799, 5673, 593, 1312, 1535, 543, 586, 269, 1284, 1289, 713, 513, 5276, 6662, 1599, 269, 4635, 519, 2016, 5777, 267, 649, 5173, 519, 7443, 1500, 829, 6221, 4421, 543, 2328, 938, 6662, 1599, 607, 5205, 1384, 3682, 7257, 3287, 11971, 264, 815, 476, 273, 343, 1341, 476, 272, 269, 276, 344, 692, 9202, 267, 649, 1590, 2015, 10148, 1759, 593, 12146, 8244, 269, 4595, 596, 3112, 946, 811, 7912, 610, 5798, 982, 596, 723, 267, 519, 1739, 2175, 4019, 1384, 273, 343, 1341, 586, 10922, 476, 1220, 630, 4148, 712, 23061, 994, 343, 1341, 476, 273, 344, 10922, 476, 8182, 630, 1122, 326, 23061, 2020, 4322, 7215, 5815, 602, 519, 2040, 540, 519, 5666, 540, 7912, 610, 5798, 2838, 585, 11256, 3694, 543, 544, 4428, 1231, 12582, 1405, 9765, 741, 9757, 7727, 630, 1220, 11680, 540, 7912, 543, 476, 8182, 5798, 1040, 1635, 12145, 6000, 1369, 891, 6302, 267, 649, 2061, 32601, 3435, 5473, 2942, 610, 7050, 2418, 585, 1535, 543, 586, 780, 7661, 267, 2094, 6721, 4642, 3688, 3085, 1405, 1118, 1454, 2631, 267, 649, 1039, 835, 811, 23061, 547, 2327, 25273, 1384, 343, 13843, 476, 271, 454, 344, 13843, 476, 271, 692, 4415, 3388, 1305, 909, 267, 649, 666, 14650, 713, 1966, 22762, 29182, 607, 513, 20372, 3330, 519, 11282, 7077, 4646, 676, 9256, 938, 10148, 269, 14572, 12430, 14691, 2042, 1419, 3322, 4466, 14622, 540, 971, 5546, 1317, 789, 1683, 1761, 10457, 585, 519, 5021, 610, 5934, 1871, 540, 938, 6662, 1599, 269, 3414, 6297, 6514, 267, 2079, 267, 543, 9819, 267, 649, 3605, 602, 519, 14584, 4092, 693, 1448, 630, 2412, 267, 3199, 264, 11729, 519, 5207, 2009, 7443, 540, 1269, 18231, 2439, 4517, 1175, 899, 602, 267, 1210, 12430, 14691, 2553, 5280, 721, 11523, 513, 4101, 1483, 3734, 3510, 2647, 1930, 269, 5901, 8026, 2147, 2055, 267, 543, 4166, 2614, 267, 596, 1932, 786, 4487, 519, 1148, 540, 11938, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 532, 8436, 1336, 938, 3896, 19108, 676, 1210, 891, 7223, 2474, 912, 300, 7251, 537, 6549, 1396, 339, 749, 2626, 1883, 3184, 476, 275, 267, 2852, 7223, 585, 546, 27186, 267, 3818, 9912, 4834, 3211, 267, 1548, 1281, 513, 4009, 543, 513, 13306, 723, 547, 798, 609, 1163, 20184, 267, 8167, 4976, 1863, 267, 5276, 5752, 2262, 2042, 267, 24275, 5276, 1226, 7159, 976, 538, 1614, 4756, 563, 273, 526, 1931, 1875, 327, 558, 15119, 267, 2296, 266, 330, 1749, 266, 1740, 1352, 520, 267, 2228, 26729, 8732, 1470, 29093, 9498, 563, 23382, 1456, 899, 2474, 1315, 4976, 267, 634, 1158, 781, 23698, 30233, 267, 875, 547, 3113, 513, 5409, 19096, 593, 513, 24275, 9498, 267, 12430, 5358, 532, 543, 1062, 3830, 3446, 476, 1556, 267, 28809, 7750, 539, 4341, 563, 25284, 4834, 30263, 268, 8660, 13392, 3830, 267, 700, 13967, 540, 476, 9083, 543, 476, 1911, 267, 5131, 6732, 10789, 570, 12460, 267, 9076, 18267, 538, 27764, 476, 10695, 24626, 563, 29002, 18946, 23481, 338, 267, 14776, 4976, 28809, 267, 4946, 543, 18946, 8454, 1210, 5961, 4976, 267, 679, 2678, 543, 4194, 1250, 2979, 2042, 585, 803, 267, 16390, 585, 4946, 543, 18946, 954, 7970, 563, 306, 6295, 15821, 4834, 609, 8454, 267, 4946, 543, 10208, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30791, 14691, 257, 607, 851, 540, 834, 21316, 30388, 1315, 26659, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5986, 7045, 256, 4653, 649, 2811, 2469, 547, 2263, 12403, 532, 910, 513, 8949, 1259, 540, 3500, 5986, 1426, 2394, 621, 3587, 11212, 13035, 543, 29316, 269, 1284, 786, 1451, 875, 547, 5965, 17705, 543, 25329, 7888, 12403, 338, 1210, 5613, 267, 19787, 267, 543, 10683, 5820, 269, 4634, 952, 596, 1810, 1405, 723, 25329, 267, 891, 10346, 786, 15983, 14183, 707, 6492, 19512, 2439, 1262, 1432, 1281, 621, 1611, 547, 12403, 15140, 2691, 649, 2608, 560, 1168, 265, 1945, 267, 649, 3434, 621, 7444, 538, 5277, 630, 7945, 607, 1216, 267, 6006, 267, 610, 10433, 264, 609, 11922, 267, 14546, 267, 543, 824, 5820, 269, 19731, 338, 2356, 2270, 5779, 267, 16738, 267, 3165, 267, 610, 1256, 1175, 5388, 267, 2059, 609, 9274, 899, 7573, 610, 18437, 269, 1635, 31652, 532, 3388, 1927, 585, 513, 1279, 1974, 540, 942, 267, 10366, 5283, 323, 18991, 267, 1818, 1142, 11116, 16802, 609, 22556, 2439, 3086, 1577, 781, 3605, 930, 9735, 5820, 3501, 585, 2870, 32727, 696, 1190, 12403, 338, 1247, 9849, 25329, 1384, 1262, 289, 15869, 6363, 7037, 29759, 1299, 12098, 326, 625, 16001, 5278, 5613, 543, 19787, 991, 2027, 3007, 950, 596, 723, 25329, 2094, 741, 9875, 9403, 1522, 2014, 9636, 610, 2800, 707, 23049, 543, 12904, 269, 1717, 267, 676, 21352, 532, 873, 998, 12403, 532, 267, 789, 1831, 2922, 543, 11791, 23937, 547, 1022, 7594, 269, 6733, 693, 713, 1592, 540, 5863, 3681, 1384, 265, 2561, 956, 281, 12338, 883, 1507, 4773, 1354, 4946, 873, 547, 519, 1494, 282, 1310, 513, 1906, 3108, 540, 5986, 267, 789, 2490, 8949, 569, 2571, 543, 6653, 563, 265, 2961, 12783, 281, 6215, 823, 873, 6094, 569, 610, 2759, 873, 883, 21448, 1107, 2899, 12403, 539, 267, 789, 6336, 782, 29511, 1465, 543, 10110, 4478, 10366, 563, 265, 22966, 2044, 281, 5381, 547, 17436, 267, 14299, 4771, 13767, 2044, 883, 4130, 11353, 5849, 2653, 21400, 543, 12536, 563, 265, 14465, 11446, 281, 5410, 22691, 21100, 2282, 519, 1439, 540, 519, 5986, 1184, 547, 11677, 741, 2067, 3337, 543, 27598, 9403, 563, 265, 9253, 976, 281, 6145, 20397, 267, 6338, 7750, 539, 5283, 976, 2673, 547, 12032, 547, 2226, 4195, 1145, 543, 30861, 31926, 563, 265, 7935, 19233, 281, 29673, 621, 13713, 1101, 547, 2569, 922, 4320, 267, 1287, 19184, 621, 883, 519, 1494, 269, 898, 8591, 17681, 2681, 543, 7646, 3618, 344, 4967, 563, 265, 8000, 10633, 281, 3212, 601, 543, 13306, 873, 909, 267, 4946, 873, 28870, 998, 519, 12403, 532, 1184, 547, 2061, 13134, 1465, 563, 265, 3683, 322, 10541, 17112, 281, 589, 2370, 3063, 942, 7140, 891, 6263, 3039, 21889, 10508, 2685, 2571, 543, 4313, 532, 563, 265, 4270, 28967, 6150, 17436, 281, 3807, 899, 741, 6151, 13413, 267, 14974, 23198, 21100, 6619, 540, 942, 267, 4180, 2656, 5610, 883, 519, 1292, 8670, 780, 1262, 291, 8543, 5548, 2074, 16001, 29002, 10683, 2472, 547, 707, 12403, 338, 6770, 17381, 267, 5347, 1145, 267, 543, 513, 3984, 540, 1898, 5567, 269, 6333, 6220, 891, 1434, 625, 1384, 265, 22447, 281, 2422, 2898, 5144, 610, 2030, 2861, 8925, 585, 3773, 8645, 1465, 563, 265, 4258, 3150, 281, 10434, 29380, 525, 23271, 7444, 267, 16089, 6106, 540, 29902, 3178, 269, 9941, 29380, 525, 15835, 12347, 267, 11006, 5820, 1927, 563, 265, 962, 690, 4669, 281, 29130, 10750, 5259, 18506, 2509, 519, 1439, 540, 5986, 547, 8190, 8126, 1465, 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 ]
[ 547, 1265, 519, 8953, 540, 519, 3141, 543, 1287, 726, 19982, 621, 538, 780, 763, 3364, 568, 594, 723, 6743, 782, 936, 585, 930, 23456, 543, 898, 4667, 602, 782, 519, 2409, 630, 519, 3283, 1775, 1223, 1265, 19037, 264, 946, 930, 3791, 1560, 899, 519, 7599, 538, 741, 9273, 269, 594, 1616, 547, 798, 609, 1100, 3606, 9623, 547, 1018, 594, 5018, 780, 9827, 798, 596, 1589, 621, 781, 2009, 602, 594, 1223, 1175, 2328, 602, 519, 3845, 568, 476, 272, 879, 799, 814, 7608, 1871, 10371, 1862, 798, 596, 1589, 602, 1869, 12523, 607, 1152, 1210, 519, 7608, 1239, 263, 607, 538, 568, 621, 513, 2596, 2614, 1871, 602, 1775, 666, 1175, 11690, 621, 538, 264, 610, 568, 972, 513, 1732, 1259, 547, 1265, 621, 28879, 26042, 1892, 4595, 476, 272, 22847, 568, 3989, 607, 519, 3845, 540, 519, 6129, 547, 519, 3047, 267, 602, 2626, 1131, 581, 9764, 269, 2052, 596, 946, 24974, 1612, 718, 1314, 286, 1107, 1109, 19913, 342, 1716, 4239, 476, 272, 1412, 1240, 693, 476, 2537, 281, 736, 454, 1892, 7711, 19913, 342, 1716, 875, 1223, 594, 979, 827, 1210, 602, 547, 1265, 519, 3845, 7790, 1107, 1109, 321, 327, 777, 328, 4239, 476, 272, 1412, 1240, 693, 476, 2537, 281, 6246, 454, 1892, 7711, 19913, 342, 1716, 594, 2219, 602, 1612, 531, 1314, 16941, 593, 519, 24666, 4559, 23099, 9327, 1405, 19163, 609, 621, 1831, 9764, 607, 6202, 7790, 1107, 1109, 321, 327, 777, 328, 4239, 476, 272, 1412, 1240, 693, 476, 2537, 281, 4366, 454, 1892, 7711, 19913, 342, 1716, 594, 6415, 4440, 4636, 267, 602, 781, 1175, 519, 2601, 594, 22821, 1405, 1031, 621, 1317, 594, 1810, 1405, 3833, 1174, 875, 547, 979, 827, 621, 1862, 1107, 1109, 321, 327, 777, 328, 4239, 476, 272, 1412, 1240, 693, 476, 2537, 281, 6812, 454, 1892, 1411, 666, 9192, 519, 1974, 540, 3047, 781, 4838, 1472, 519, 3141, 609, 519, 2527, 540, 519, 3141, 547, 1205, 606, 6207, 3845, 1063, 519, 3047, 543, 519, 6129, 630, 817, 11167, 9764, 10739, 1040, 2107, 596, 666, 5173, 519, 3845, 1210, 519, 16070, 2450, 540, 519, 6129, 543, 519, 2168, 2450, 540, 519, 3141, 269, 594, 1810, 1405, 3494, 596, 666, 798, 621, 609, 519, 1344, 3177, 1152, 267, 855, 594, 949, 581, 7508, 930, 15931, 1259, 269, 1107, 1109, 523, 20783, 529, 4239, 476, 273, 1412, 1240, 693, 476, 271, 281, 4905, 692, 2791, 4312, 3893, 13718, 1892, 2107, 321, 1388, 1974, 540, 476, 272, 1032, 454, 1892, 476, 272, 4113, 815, 476, 1911, 14790, 454, 1892, 575, 815, 476, 1015, 332, 4882, 317, 273, 454, 1892, 16070, 8006, 540, 519, 6129, 815, 476, 271, 269, 276, 4113, 692, 2791, 723, 519, 6129, 781, 16070, 8006, 269, 4911, 983, 8006, 568, 519, 5223, 540, 519, 3845, 547, 922, 8006, 281, 3230, 273, 818, 551, 534, 7268, 2765, 18097, 3554, 2678, 3709, 15711, 12453, 273, 3845, 3709, 15711, 3686, 14638, 1403, 649, 849, 6785, 519, 6129, 781, 8006, 649, 1223, 5173, 922, 3845, 269, 1809, 649, 1810, 1405, 780, 2791, 723, 519, 20771, 1974, 540, 519, 3047, 269, 2334, 5673, 593, 519, 2527, 540, 519, 6129, 267, 519, 8953, 540, 519, 3047, 781, 10739, 267, 543, 519, 3400, 13901, 19693, 269, 3230, 339, 815, 1422, 2765, 346, 273, 1422, 7032, 678, 317, 274, 2410, 14875, 3709, 15711, 3686, 21974, 1403, 649, 723, 1079, 540, 1346, 649, 666, 4194, 585, 519, 3791, 269, 634, 3400, 13901, 19693, 666, 581, 5462, 676, 1463, 6482, 267, 865, 602, 1175, 3762, 519, 2527, 540, 519, 6129, 269, 25214, 519, 2527, 540, 519, 6129, 729, 5249, 856, 689, 519, 8953, 540, 3047, 781, 10739, 267, 711, 13030, 268, 951, 320, 780, 272, 4113, 815, 476, 1911, 14790, 1797, 14322, 519, 3047, 568, 513, 3501, 12106, 519, 18592, 540, 519, 3047, 568, 476, 3607, 267, 1822, 5998, 630, 527, 781, 2965, 476, 272, 4113, 815, 476, 9340, 14790, 543, 476, 2412, 267, 1822, 5998, 1040, 2334, 1797, 922, 8953, 568, 6695, 2765, 346, 290, 21223, 2410, 273, 19570, 6525, 610, 476, 6872, 274, 273, 5998, 630, 277, 4391, 272, 5998, 538, 4641, 6393, 4517, 1934, 649, 2811, 12758, 269, 1284, 9364, 991, 3606, 7422, 547, 960, 621, 856, 780, 2005, 7140, 856, 649, 666, 946, 2241, 29890, 547, 3313, 519, 3845, 689, 519, 3047, 547, 519, 6129, 780, 20278, 1079, 24319, 593, 6587, 5011, 540, 519, 3047, 269, 5620, 873, 1312, 2268, 519, 5086, 547, 519, 6129, 693, 4010, 519, 1482, 942, 950, 519, 6129, 568, 9985, 13902, 547, 519, 2627, 540, 519, 3047, 267, 476, 3445, 4113, 269, 2991, 9104, 908, 585, 30212, 28550, 267, 519, 824, 786, 1205, 513, 5594, 1114, 5086, 780, 4322, 1079, 24319, 267, 7132, 519, 6129, 267, 1106, 513, 1318, 6906, 269, 634, 3845, 1063, 519, 24319, 568, 519, 3490, 269, 634, 5086, 568, 519, 4767, 5086, 269, 634, 30494, 568, 519, 3845, 547, 519, 6129, 269, 3230, 6523, 263, 4120, 264, 815, 1422, 2765, 346, 29951, 8809, 2410, 1506, 13607, 26664, 6525, 269, 14572, 585, 519, 30494, 281, 3230, 1506, 13607, 26664, 815, 1422, 2765, 346, 29951, 8809, 2410, 6523, 263, 4120, 264, 6525, 269, 1520, 329, 8809, 568, 519, 8006, 540, 519, 3047, 267, 649, 723, 602, 269, 1656, 649, 723, 606, 5086, 269, 1924, 649, 666, 960, 856, 519, 30494, 267, 610, 3845, 547, 519, 6129, 780, 1607, 3017, 538, 5086, 568, 1360, 267, 1360, 267, 1360, 1507, 269, 898, 781, 827, 476, 271, 269, 21916, 277, 4113, 610, 827, 476, 1626, 9095, 572, 6948, 780, 1103, 2413, 1554, 609, 513, 8471, 942, 5329, 1062, 621, 781, 5266, 2653, 547, 11282, 971, 7422, 269, 7982, 538, 519, 476, 1240, 628, 2540, 971, 4977, 942, 5329, 729, 7543, 269, 901, 568, 1946, 789, 3079, 6027, 519, 18302, 540, 19026, 689, 1082, 2798, 593, 519, 8608, 269, 11088, 1210, 891, 7422, 543, 2241, 9511, 789, 1223, 3313, 519, 3845, 547, 519, 6129, 780, 1892, 9320, 621, 786, 581, 3730, 547, 1118, 2312, 267, 607, 513, 3932, 267, 602, 2016, 1152, 519, 1344, 538, 519, 20525, 596, 3112, 3313, 519, 6129, 7232, 14390, 3845, 269, 634, 4110, 540, 20173, 543, 1871, 540, 575, 616, 13061, 19037, 269, 634, 3047, 1223, 723, 1114, 2450, 543, 1114, 2627, 8904, 543, 1869, 581, 693, 519, 1482, 3845, 689, 519, 6129, 269, 1107, 1109, 19063, 340, 4239, 476, 273, 1412, 1240, 693, 476, 272, 281, 3393, 454, 1892, 7711, 338, 577, 342, 1716, 950, 596, 2161, 519, 4767, 5086, 798, 596, 1611, 519, 16070, 8006, 7790, 1107, 1109, 321, 327, 777, 328, 4239, 476, 273, 1412, 1240, 693, 476, 1321, 281, 3607, 454, 1892, 594, 6836, 547, 960, 856, 519, 3618, 3141, 3845, 689, 1018, 596, 1767, 855, 901, 568, 1018, 594, 3893, 269, 536, 284, 323, 3554, 2678, 540, 3618, 284, 11740, 876, 14790, 269, 4767, 5086, 815, 271, 269, 276, 19592, 4181, 799, 3947, 519, 30494, 607, 476, 11740, 25320, 3583, 269, 11025, 5998, 855, 713, 568, 2484, 689, 519, 1634, 1871, 540, 476, 14983, 269, 277, 332, 8270, 542, 5998, 269, 2549, 1775, 3765, 24483, 519, 1505, 596, 2303, 7790, 1107, 1109, 321, 327, 777, 328, 4239, 476, 273, 1412, 1240, 693, 476, 1321, 281, 5325, 454, 1892, 7711, 19063, 340, 568, 972, 930, 1259, 547, 2769, 519, 3845, 538, 2474, 540, 519, 1274, 2195, 2527, 610, 930, 824, 8945, 269, 782, 1775, 2965, 991, 529, 547, 1397, 519, 5223, 540, 5860, 1063, 519, 3141, 543, 3618, 2016, 713, 1239, 1107, 1109, 321, 327, 777, 328, 4239, 476, 273, 1412, 1240, 693, 476, 1321, 281, 5392, 454, 1892, 898, 949, 581, 3730, 952, 596, 2022, 519, 4890, 1966, 596, 616, 3843, 547, 4194, 269, 1306, 621, 729, 2016, 547, 596, 269, 9320, 596, 3323, 593, 513, 2619, 799, 3217, 596, 4230, 2001, 269, 1107, 1109, 19063, 340, 4239, 476, 273, 1412, 1240, 693, 476, 1691, 281, 7906, 0, 258, 590, 294, 5183, 547, 20587, 720, 20593, 614, 1107, 1215, 547, 22417, 590, 294, 5183, 883, 20587, 720, 692, 306, 294, 5183, 610, 519, 12054, 6856, 6103, 8672, 19105, 568, 513, 21249, 1062, 1031, 538, 519, 2069, 5823, 1472, 519, 1158, 269, 898, 1281, 711, 1397, 519, 3169, 6871, 855, 2982, 9344, 689, 589, 547, 661, 267, 799, 2887, 883, 513, 1114, 2039, 540, 21159, 780, 2005, 568, 7229, 676, 12270, 519, 2698, 5491, 2798, 5833, 676, 519, 2875, 538, 513, 19496, 676, 2698, 5491, 2798, 780, 2414, 5173, 590, 294, 5183, 267, 596, 1590, 917, 519, 5491, 2798, 28286, 1540, 547, 1142, 1641, 269, 1452, 2798, 616, 8655, 1759, 593, 519, 1297, 540, 3108, 621, 568, 6026, 538, 513, 3018, 267, 8151, 689, 476, 1015, 547, 476, 272, 780, 1103, 713, 3391, 267, 596, 3580, 1451, 875, 547, 6460, 590, 294, 5183, 883, 20587, 720, 585, 1863, 780, 1103, 1249, 267, 596, 666, 849, 946, 590, 294, 5183, 547, 20587, 720, 20593, 614, 676, 1775, 1805, 320, 4875, 547, 5173, 590, 294, 5183, 547, 20587, 720, 780, 306, 895, 779, 1434, 286, 2913, 779, 1205, 3323, 780, 6944, 757, 692, 1012, 590, 294, 5183, 547, 20587, 720, 20593, 614, 692, 306, 294, 5183, 547, 20587, 720, 20593, 614, 676, 1775, 1805, 320, 4875, 568, 513, 2241, 543, 2653, 547, 946, 1907, 602, 13071, 596, 6460, 590, 294, 5183, 883, 6871, 1510, 8380, 1053, 896, 519, 11411, 540, 8261, 9819, 780, 306, 294, 5183, 692, 16665, 15484, 281, 590, 294, 5183, 547, 595, 294, 5183, 18185, 692, 1012, 1215, 547, 12433, 590, 294, 5183, 2496, 5575, 267, 9062, 519, 1297, 540, 17099, 540, 1142, 1641, 676, 519, 3446, 1448, 12236, 538, 1142, 1641, 269, 2991, 602, 2040, 621, 543, 7941, 621, 676, 519, 2698, 1297, 540, 17099, 269, 901, 568, 707, 590, 294, 5183, 780, 2690, 1383, 10484, 1892, 634, 3446, 2798, 12236, 538, 1614, 5396, 616, 281, 4427, 476, 272, 281, 476, 280, 267, 4427, 476, 273, 281, 476, 279, 269, 279, 267, 4427, 476, 274, 281, 476, 278, 269, 272, 454, 1892, 634, 5491, 540, 1346, 5396, 616, 281, 4427, 476, 272, 281, 476, 275, 267, 4427, 476, 273, 281, 476, 274, 267, 4427, 476, 274, 281, 476, 274, 692, 3086, 9062, 3446, 2798, 609, 17099, 1384, 1892, 4427, 476, 272, 281, 476, 280, 9943, 274, 815, 476, 2767, 454, 1892, 4427, 476, 273, 281, 476, 279, 269, 279, 9943, 274, 815, 476, 2918, 269, 275, 454, 1892, 4427, 476, 274, 281, 476, 278, 269, 272, 9943, 273, 815, 476, 1691, 269, 273, 692, 763, 2040, 540, 519, 3446, 2798, 616, 281, 476, 2767, 1341, 476, 2918, 269, 275, 1341, 476, 1691, 269, 273, 815, 476, 6858, 269, 277, 692, 763, 2040, 540, 519, 17099, 616, 281, 476, 275, 1341, 476, 274, 266, 476, 274, 815, 476, 1015, 692, 3086, 7941, 519, 2698, 3446, 2798, 676, 2698, 17099, 568, 476, 6858, 269, 277, 270, 1015, 815, 476, 277, 269, 10602, 267, 9747, 707, 590, 294, 5183, 568, 476, 277, 269, 10602, 780, 1012, 1215, 547, 22417, 590, 294, 5183, 883, 20587, 720, 9501, 303, 308, 692, 2414, 6460, 590, 294, 5183, 547, 20587, 720, 267, 9062, 590, 294, 5183, 676, 476, 1015, 267, 1287, 10208, 476, 278, 269, 276, 689, 519, 1267, 602, 786, 581, 707, 1109, 704, 1417, 720, 269, 1280, 1383, 267, 547, 6460, 476, 277, 269, 10602, 590, 294, 5183, 547, 20587, 720, 267, 9062, 476, 277, 269, 10602, 676, 476, 1015, 543, 10208, 476, 278, 269, 276, 689, 519, 1267, 267, 519, 3803, 1297, 476, 2568, 269, 272, 568, 519, 6871, 780, 15368, 1227, 267, 590, 294, 5183, 568, 519, 22051, 3328, 540, 519, 3446, 2798, 5833, 538, 782, 5396, 1282, 519, 19496, 780, 763, 4542, 547, 5173, 590, 294, 5183, 568, 2016, 2630, 780, 3602, 10484, 1892, 595, 328, 815, 634, 1297, 540, 17099, 538, 519, 19496, 454, 1892, 13100, 815, 6103, 1448, 12236, 538, 519, 19496, 454, 1892, 1775, 815, 476, 272, 267, 273, 267, 274, 8796, 333, 2099, 519, 1297, 540, 6030, 538, 519, 19496, 692, 21581, 6651, 281, 1215, 1677, 6460, 590, 294, 5183, 883, 20587, 720, 538, 476, 1708, 273, 540, 1022, 6280, 1923, 1215, 1677, 5173, 645, 269, 27700, 20587, 720, 692, 2791, 631, 697, 4746, 6145, 1384, 16829, 676, 454, 30607, 20144, 1301, 21983, 667, 25352, 692, 328, 1805, 320, 4875, 568, 2854, 676, 20144, 1301, 21983, 667, 25352, 267, 606, 28048, 5769, 2520, 2131, 267, 8668, 3318, 2094, 476, 1001, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1053, 1369, 1142, 1032, 1895, 563, 763, 1935, 547, 3450, 519, 8241, 15099, 17648, 602, 782, 1053, 538, 513, 1880, 1032, 1895, 723, 13380, 7207, 269, 901, 1797, 602, 519, 3810, 5827, 1053, 616, 1373, 8655, 519, 1482, 960, 607, 1053, 609, 1565, 7965, 267, 3274, 1317, 789, 616, 538, 519, 1482, 1032, 1377, 563, 2026, 594, 2446, 538, 1250, 1433, 267, 2048, 8005, 595, 4100, 6168, 13174, 267, 7102, 3118, 8730, 519, 8241, 15099, 5526, 547, 2285, 2370, 5583, 547, 3506, 607, 547, 875, 547, 4497, 543, 4001, 22064, 1053, 269, 769, 3119, 1153, 267, 22064, 1053, 616, 1419, 711, 4857, 563, 1607, 5821, 547, 2232, 1367, 1565, 2115, 814, 2799, 519, 11841, 540, 30627, 267, 2938, 607, 519, 10546, 540, 1565, 563, 305, 1430, 982, 513, 835, 20695, 1922, 1080, 22433, 1935, 267, 3610, 1590, 581, 9952, 538, 4259, 1114, 4247, 585, 2516, 540, 1053, 269, 1717, 267, 713, 949, 711, 4755, 1510, 519, 9525, 543, 19015, 540, 3237, 563, 1432, 596, 666, 798, 607, 513, 2385, 454, 2026, 513, 2385, 267, 621, 779, 707, 5539, 547, 1489, 707, 1126, 779, 1565, 269, 8058, 532, 513, 9758, 1719, 538, 707, 1126, 779, 1565, 786, 3565, 547, 741, 3356, 543, 1967, 563, 3383, 267, 1018, 666, 596, 798, 952, 707, 1126, 568, 7680, 30627, 693, 1153, 888, 268, 9105, 873, 2055, 1107, 1246, 909, 609, 2055, 519, 1985, 942, 596, 2307, 873, 827, 741, 1554, 693, 1153, 269, 6201, 1331, 912, 268, 1548, 1641, 1705, 596, 1265, 19309, 888, 268, 4208, 729, 621, 19309, 888, 268, 9894, 596, 1174, 1018, 519, 4116, 729, 6031, 888, 268, 21518, 596, 2111, 547, 9096, 519, 8655, 4305, 286, 9894, 596, 9096, 621, 2038, 888, 268, 28423, 609, 741, 4116, 1107, 1310, 4466, 856, 811, 689, 707, 1126, 267, 2743, 609, 741, 4116, 543, 1577, 873, 917, 875, 707, 1126, 568, 4743, 269, 9181, 4485, 547, 948, 707, 1126, 4497, 1759, 593, 741, 1565, 2115, 454, 268, 17372, 741, 1565, 2115, 1107, 952, 5717, 609, 519, 4116, 1810, 1406, 6556, 1022, 2318, 4093, 267, 2015, 23468, 602, 3032, 619, 547, 741, 1808, 2115, 267, 3850, 873, 547, 1451, 693, 741, 1378, 10605, 454, 13900, 4771, 707, 1126, 13468, 741, 30627, 693, 1153, 568, 607, 2241, 607, 4358, 609, 513, 6643, 563, 2252, 596, 2154, 2417, 543, 811, 6098, 1489, 267, 596, 666, 1433, 513, 1863, 15360, 609, 721, 269, 7490, 1289, 476, 9873, 271, 476, 9826, 476, 28242, 543, 649, 666, 948, 2708, 707, 1126, 779, 1565, 2115, 3564, 3168, 693, 2773, 693, 741, 4397, 2085, 269, 0, 25585, 568, 3852, 370, 263, 273, 6661, 14039, 317, 273, 270, 277, 543, 711, 476, 272, 269, 277, 4510, 888, 301, 1731, 7637, 657, 267, 3852, 370, 263, 273, 6661, 14039, 317, 273, 270, 277, 815, 476, 272, 269, 277, 4510, 280, 4097, 271, 5780, 279, 4366, 26297, 454, 8340, 1455, 2609, 538, 5119, 9343, 454, 13425, 547, 1294, 952, 513, 14181, 18602, 10658, 14794, 568, 3752, 1386, 454, 15124, 17781, 20028, 454, 8340, 1079, 21083, 2338, 4171, 2040, 568, 3403, 563, 15575, 519, 4009, 268, 21459, 16975, 540, 513, 1297, 454, 15307, 1493, 12631, 689, 1978, 2418, 540, 519, 1990, 9508, 1599, 454, 17746, 1192, 513, 6305, 5858, 454, 8340, 8424, 540, 22136, 609, 519, 1482, 7857, 2040, 454, 29991, 519, 14858, 1188, 754, 21807, 7269, 540, 513, 1297, 454, 8340, 519, 16782, 538, 30731, 6239, 543, 3605, 875, 519, 2146, 666, 948, 596, 2336, 16521, 513, 1357, 3135, 547, 1205, 12261, 1543, 1141, 2139, 543, 1294, 2199, 2621, 543, 3091, 269, 9122, 593, 707, 4087, 267, 649, 4363, 602, 596, 2824, 281, 4586, 2791, 666, 849, 2824, 513, 1357, 3135, 689, 519, 1739, 1592, 912, 15675, 519, 3624, 3135, 630, 514, 4457, 610, 2296, 264, 585, 1655, 3135, 2773, 269, 4033, 4569, 17582, 2197, 4609, 616, 711, 20979, 585, 11564, 689, 707, 4087, 563, 23086, 707, 2199, 5604, 0, 763, 4214, 540, 30549, 12926, 6257, 513, 1268, 610, 11769, 602, 1568, 593, 15773, 540, 513, 6075, 610, 7817, 799, 568, 6444, 607, 519, 6240, 269, 634, 30549, 18271, 741, 1702, 543, 1702, 547, 18973, 519, 6075, 593, 1880, 3903, 4749, 1644, 547, 9140, 543, 9467, 269, 634, 30549, 666, 1312, 1685, 606, 28007, 1909, 610, 1223, 849, 723, 2347, 9140, 543, 3903, 1818, 1379, 538, 1931, 547, 957, 585, 519, 6075, 610, 6240, 563, 23536, 2406, 519, 1034, 4749, 4362, 1106, 540, 2156, 24329, 616, 5092, 2156, 24329, 543, 6221, 2156, 24329, 269, 4658, 945, 991, 547, 1902, 741, 2724, 543, 2872, 538, 21113, 10355, 723, 519, 1702, 543, 942, 547, 6023, 741, 13258, 14769, 779, 2047, 865, 789, 2731, 8415, 30549, 779, 971, 607, 585, 1383, 891, 945, 4076, 2484, 811, 1620, 543, 1995, 547, 957, 593, 741, 15773, 269, 1703, 616, 855, 1896, 824, 6272, 540, 2156, 24329, 945, 1683, 7606, 1210, 741, 11378, 540, 1620, 543, 6791, 269, 7756, 2010, 540, 2156, 24329, 2270, 2754, 2156, 24329, 267, 5983, 343, 2156, 24329, 267, 1483, 10040, 2156, 24329, 267, 6142, 2156, 24329, 543, 1082, 811, 563, 763, 4214, 540, 6142, 30549, 568, 2705, 513, 2731, 688, 5414, 835, 269, 769, 519, 2250, 6142, 2156, 24329, 941, 1175, 899, 930, 824, 30549, 2073, 855, 2027, 2358, 538, 6142, 4507, 269, 1358, 1131, 957, 593, 15773, 540, 519, 6240, 270, 785, 1339, 945, 6964, 873, 538, 1931, 547, 4983, 1585, 6142, 8925, 689, 1114, 6142, 3906, 538, 1931, 547, 5150, 519, 1655, 28774, 585, 519, 6240, 267, 2059, 609, 1489, 1174, 1880, 6101, 885, 1369, 6142, 11731, 563, 288, 7678, 5555, 2813, 538, 799, 6142, 2156, 24329, 4769, 1406, 8209, 3406, 856, 547, 1265, 519, 1655, 18653, 540, 519, 3069, 543, 1223, 3870, 1978, 6142, 3549, 269, 769, 1249, 1082, 6142, 3906, 15054, 607, 2156, 24329, 538, 1931, 547, 1205, 519, 3903, 540, 13587, 1882, 543, 796, 514, 11526, 2043, 269, 9182, 519, 2262, 6142, 30549, 814, 8507, 538, 835, 609, 513, 3648, 6626, 2495, 269, 27009, 606, 6142, 30549, 568, 2965, 9763, 607, 1022, 1367, 945, 6411, 607, 606, 8665, 547, 6142, 609, 2463, 547, 519, 1523, 267, 28000, 540, 2436, 519, 8665, 568, 9117, 538, 519, 7279, 540, 519, 6240, 610, 538, 519, 1719, 540, 513, 1978, 6142, 2754, 563, 763, 5168, 568, 519, 2262, 6142, 30549, 568, 25864, 1031, 547, 1118, 4704, 547, 606, 8665, 945, 779, 6964, 676, 1004, 5275, 519, 1360, 1655, 6142, 3091, 269, 4653, 621, 568, 811, 8308, 5116, 593, 10986, 540, 6142, 4213, 945, 2099, 519, 7218, 540, 519, 2754, 269, 15928, 2156, 24329, 2705, 24901, 1202, 3293, 2043, 267, 855, 3079, 789, 2461, 12912, 676, 519, 6142, 3919, 621, 1582, 547, 1491, 1416, 540, 519, 6811, 267, 3656, 885, 543, 8852, 5473, 519, 1202, 3293, 543, 519, 6142, 2754, 563, 10376, 942, 513, 30549, 2127, 1286, 543, 5179, 6142, 4220, 593, 3382, 267, 741, 2990, 2882, 513, 2101, 5458, 3017, 547, 824, 2010, 540, 6142, 538, 602, 519, 15814, 540, 1981, 568, 4130, 269, 634, 2601, 1373, 513, 3833, 1164, 6871, 540, 2599, 2754, 568, 6038, 5116, 593, 519, 4493, 540, 685, 821, 1981, 267, 835, 896, 23116, 685, 268, 602, 779, 547, 2769, 267, 513, 32008, 779, 896, 23116, 610, 5422, 15928, 2754, 563, 12640, 6866, 513, 4759, 540, 1004, 4422, 547, 513, 2599, 6142, 30549, 789, 2503, 602, 519, 30549, 1590, 5909, 534, 569, 581, 4628, 6857, 540, 782, 6227, 3015, 543, 3177, 538, 513, 6093, 1286, 6142, 3609, 543, 513, 5010, 2599, 3609, 269, 589, 30549, 849, 1058, 2731, 581, 18164, 827, 519, 3604, 538, 4566, 543, 3928, 6035, 676, 519, 1082, 15928, 20871, 543, 896, 32392, 609, 799, 1010, 30549, 720, 1281, 1870, 563, 763, 2961, 15928, 7935, 24329, 1909, 1281, 711, 8806, 1439, 609, 519, 4758, 543, 11449, 540, 519, 645, 879, 21129, 11961, 1512, 2426, 22398, 330, 8583, 269, 1358, 1058, 581, 3015, 547, 13789, 607, 606, 10827, 776, 609, 519, 6184, 25033, 693, 1022, 942, 267, 9117, 2390, 519, 7817, 779, 15773, 1058, 972, 581, 1022, 2242, 547, 519, 3609, 4571, 3856, 540, 519, 4579, 1974, 267, 610, 547, 4308, 609, 1022, 2829, 602, 991, 547, 581, 1500, 563, 11997, 1082, 2156, 24329, 21843, 1175, 835, 6142, 3919, 543, 957, 538, 519, 18697, 540, 519, 6142, 2754, 799, 789, 2099, 269, 634, 30549, 10416, 1568, 607, 606, 10827, 776, 799, 31825, 519, 18653, 540, 519, 1202, 3293, 547, 519, 6142, 3919, 267, 21314, 519, 5773, 540, 4027, 543, 18715, 602, 519, 6142, 6876, 568, 12758, 547, 563, 1103, 3932, 267, 519, 6228, 540, 606, 30549, 568, 5393, 2838, 547, 1312, 6142, 3919, 543, 519, 1202, 3293, 1808, 267, 1247, 789, 10018, 602, 9444, 11812, 23563, 519, 6142, 6876, 543, 2327, 602, 2553, 616, 4553, 269, 634, 6142, 30549, 849, 3123, 621, 547, 581, 4443, 585, 6870, 7606, 547, 1921, 741, 18653, 547, 519, 3919, 543, 5265, 3132, 6898, 1590, 519, 13766, 8451, 269, 0, 6097, 547, 513, 1353, 540, 811, 982, 476, 3199, 267, 1822, 18295, 5716, 538, 2475, 1164, 3506, 267, 4775, 13558, 5716, 616, 7466, 607, 2693, 547, 1205, 513, 6677, 15664, 607, 9038, 563, 763, 3173, 9916, 5619, 1239, 689, 5111, 476, 6246, 267, 1822, 5256, 543, 476, 4375, 267, 1822, 4775, 5716, 689, 3506, 538, 12309, 936, 476, 274, 1153, 1296, 269, 4340, 547, 2164, 3370, 593, 4989, 476, 2767, 593, 808, 24717, 8416, 7046, 272, 267, 972, 729, 513, 7415, 3017, 1063, 519, 28486, 538, 519, 10171, 540, 5026, 5829, 2212, 5945, 267, 609, 6690, 476, 272, 269, 6434, 2053, 811, 2693, 982, 8695, 547, 1205, 513, 6677, 15664, 563, 14722, 2907, 16143, 602, 2212, 7063, 7018, 811, 4749, 538, 4775, 9845, 543, 2838, 3476, 6051, 2053, 269, 1717, 267, 972, 729, 513, 3668, 540, 6405, 1239, 267, 3081, 4024, 773, 26791, 267, 513, 5778, 12949, 6048, 689, 519, 2160, 540, 29161, 267, 5177, 267, 945, 3366, 519, 1353, 269, 968, 2171, 798, 865, 2370, 1382, 593, 4775, 9845, 2223, 646, 3081, 269, 6270, 513, 1804, 4320, 540, 1239, 593, 5026, 7063, 267, 6394, 676, 519, 12309, 4400, 3427, 26465, 545, 5948, 267, 3177, 606, 4316, 547, 8495, 2436, 4775, 9845, 616, 2965, 693, 2362, 1981, 585, 6677, 21631, 630, 5408, 968, 3519, 322, 15664, 11485, 892, 1916, 29467, 941, 2965, 3604, 1063, 5256, 543, 4775, 9845, 2223, 3081, 26791, 269, 634, 1259, 1164, 1153, 5716, 11124, 741, 7063, 849, 28209, 3648, 1063, 14038, 543, 2021, 281, 519, 1034, 1455, 1259, 547, 29153, 729, 547, 5734, 1776, 6345, 267, 609, 5176, 3368, 540, 782, 4080, 19270, 21631, 7018, 713, 1259, 269, 21989, 941, 1034, 2693, 547, 581, 4299, 1310, 2458, 4575, 609, 1776, 1843, 971, 607, 519, 3440, 610, 835, 540, 519, 3804, 9708, 269, 27258, 941, 849, 811, 2693, 547, 581, 6569, 689, 1404, 5612, 1310, 513, 16143, 2212, 5945, 982, 6690, 563, 763, 1114, 7271, 585, 2212, 7063, 538, 6690, 568, 606, 1271, 4466, 267, 3081, 26791, 269, 968, 2005, 1223, 581, 513, 2601, 1946, 6690, 609, 6677, 21631, 14201, 1406, 13603, 909, 538, 519, 2361, 607, 5781, 2223, 646, 3773, 269, 19270, 15664, 2359, 1949, 4867, 538, 946, 1107, 689, 16326, 1761, 2212, 7063, 1282, 513, 3014, 547, 8156, 9845, 547, 13059, 547, 519, 3014, 1107, 616, 5462, 3592, 7357, 676, 4152, 5256, 9845, 267, 26791, 3081, 269, 968, 21156, 540, 519, 1699, 267, 5256, 26455, 267, 19618, 1935, 547, 6677, 15664, 2359, 267, 4008, 2861, 4485, 949, 991, 547, 581, 2808, 2223, 646, 3081, 269, 901, 1223, 1331, 9993, 593, 519, 16144, 540, 13558, 11084, 610, 519, 4527, 540, 811, 1199, 1227, 8036, 5234, 1282, 2021, 779, 3756, 563, 299, 714, 13879, 267, 945, 2090, 27354, 2559, 923, 543, 2212, 7063, 693, 4210, 534, 22855, 2160, 538, 519, 5177, 267, 5342, 513, 1804, 3486, 1353, 540, 2021, 24821, 2421, 5716, 543, 741, 5945, 2833, 538, 476, 1708, 271, 269, 26791, 779, 2164, 2097, 607, 1100, 9983, 269, 968, 2171, 782, 1265, 519, 1482, 3364, 267, 2021, 616, 811, 12155, 547, 2634, 5945, 982, 2367, 2223, 1352, 3081, 267, 968, 663, 519, 11841, 267, 538, 1250, 6644, 267, 568, 4440, 2362, 982, 1018, 814, 1044, 4080, 1848, 0, 288, 3474, 11672, 781, 570, 8922, 874, 11652, 3013, 781, 454, 1432, 835, 9441, 693, 519, 7732, 540, 6837, 1705, 585, 519, 14447, 2924, 3350, 454, 763, 1509, 334, 568, 18584, 4873, 476, 2764, 267, 476, 3422, 273, 269, 7335, 621, 267, 835, 666, 17077, 569, 3494, 602, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4569, 692, 276, 3982, 2318, 556, 1023, 1106, 606, 12980, 11144, 269, 634, 476, 272, 560, 267, 476, 273, 526, 543, 476, 276, 628, 2165, 1106, 513, 12166, 11144, 269, 1403, 519, 1587, 540, 891, 476, 276, 2338, 568, 476, 14862, 476, 275, 270, 280, 267, 1018, 568, 519, 1587, 540, 519, 476, 274, 2474, 540, 519, 12166, 11144, 2496, 9616, 912, 763, 5123, 834, 845, 606, 12980, 11144, 257, 1797, 602, 519, 2418, 616, 15654, 2474, 540, 606, 12980, 11144, 269, 6684, 267, 834, 845, 513, 12166, 11144, 257, 1797, 602, 519, 2418, 616, 15654, 2474, 540, 513, 12166, 11144, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 14530, 454, 272, 269, 1039, 519, 1256, 2338, 1063, 476, 3374, 543, 476, 4375, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 795, 752, 889, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 630, 10481, 6248, 4273, 1833, 2020, 276, 3982, 2318, 556, 1023, 1106, 606, 12980, 11144, 269, 634, 476, 272, 560, 267, 476, 273, 526, 543, 476, 276, 628, 2165, 1106, 513, 12166, 11144, 269, 1403, 519, 1587, 540, 891, 476, 276, 2338, 568, 476, 14862, 476, 275, 270, 280, 267, 1018, 568, 519, 1587, 540, 519, 476, 274, 2474, 540, 519, 12166, 11144, 286, 8074, 1384, 24216, 676, 1744, 514, 593, 4873, 476, 2420, 267, 476, 1001, 274, 454, 273, 269, 12693, 4569, 692, 1103, 606, 12980, 11144, 267, 519, 476, 276, 628, 2165, 568, 3670, 2053, 519, 476, 272, 560, 2165, 543, 519, 2040, 540, 519, 1101, 3670, 2474, 568, 476, 4200, 269, 4855, 519, 476, 272, 560, 2165, 543, 519, 1455, 3017, 269, 28055, 693, 3070, 281, 772, 276, 815, 476, 277, 263, 308, 272, 264, 476, 4200, 815, 476, 274, 263, 273, 314, 308, 272, 316, 1341, 476, 273, 323, 2020, 24216, 676, 12359, 553, 593, 5437, 476, 2190, 267, 476, 1001, 278, 454, 274, 269, 12693, 2979, 692, 1492, 476, 274, 6113, 2165, 540, 513, 12166, 11144, 568, 8370, 2053, 519, 476, 272, 560, 2165, 269, 604, 519, 476, 273, 526, 2165, 568, 835, 2389, 342, 4868, 8772, 519, 476, 276, 628, 2165, 26098, 519, 476, 275, 628, 2165, 15301, 3240, 3070, 865, 2484, 1040, 541, 317, 273, 284, 280, 320, 678, 284, 338, 336, 337, 540, 476, 280, 678, 284, 274, 269, 15276, 803, 1265, 519, 476, 272, 560, 2165, 692, 24216, 676, 28642, 593, 5437, 476, 2764, 267, 476, 1001, 275, 454, 275, 269, 12693, 13174, 692, 763, 476, 276, 628, 2165, 540, 606, 12980, 11144, 568, 476, 274, 9392, 540, 476, 273, 526, 2165, 543, 476, 1321, 628, 2165, 20489, 476, 273, 9392, 540, 476, 277, 628, 2165, 676, 476, 272, 269, 4855, 519, 476, 1626, 628, 2165, 692, 24216, 676, 32088, 593, 5412, 476, 276, 267, 476, 1001, 277, 454, 276, 269, 12693, 13174, 692, 763, 476, 276, 628, 2165, 540, 606, 12980, 11144, 568, 476, 274, 9392, 540, 476, 273, 526, 2165, 543, 476, 1321, 628, 2165, 20489, 476, 273, 9392, 540, 476, 277, 628, 2165, 676, 476, 272, 269, 4855, 519, 476, 1626, 628, 2165, 692, 24216, 676, 32088, 593, 5412, 476, 277, 267, 476, 1001, 277, 454, 277, 269, 12693, 13174, 692, 763, 476, 276, 628, 2165, 540, 606, 12980, 11144, 568, 476, 274, 9392, 540, 476, 273, 526, 2165, 543, 476, 1321, 628, 2165, 20489, 476, 273, 9392, 540, 476, 277, 628, 2165, 676, 476, 272, 269, 4855, 519, 476, 1626, 628, 2165, 692, 24216, 676, 32088, 593, 5412, 476, 276, 267, 476, 1001, 277, 454, 278, 269, 12693, 2979, 692, 763, 476, 274, 6113, 2165, 540, 513, 12166, 11144, 568, 8370, 2053, 519, 476, 272, 560, 2165, 269, 604, 519, 476, 273, 526, 2165, 568, 835, 8938, 8772, 519, 476, 276, 628, 2165, 26098, 519, 476, 275, 628, 2165, 15301, 11004, 568, 513, 12161, 538, 519, 476, 273, 526, 547, 519, 2063, 3948, 269, 15276, 12398, 519, 12161, 346, 325, 1400, 2626, 476, 275, 628, 692, 24216, 676, 28642, 593, 5437, 476, 2764, 267, 476, 1001, 275, 454, 279, 269, 12693, 2979, 692, 763, 476, 1015, 628, 2165, 540, 606, 12980, 3356, 538, 476, 2764, 543, 519, 476, 278, 628, 2165, 568, 476, 866, 269, 20412, 622, 519, 476, 272, 560, 267, 273, 526, 543, 476, 274, 6113, 2474, 540, 519, 11144, 692, 24216, 676, 21919, 690, 601, 334, 593, 5130, 476, 866, 267, 476, 1001, 277, 454, 280, 269, 12693, 4569, 692, 8340, 519, 12980, 5311, 4171, 476, 272, 560, 2165, 568, 476, 272, 543, 519, 476, 272, 560, 267, 476, 273, 526, 543, 476, 277, 628, 2474, 1106, 513, 12166, 5311, 692, 24216, 676, 31946, 593, 5147, 476, 1626, 267, 476, 1001, 278, 454, 1015, 269, 12693, 13004, 692, 763, 2040, 540, 1101, 476, 277, 2474, 540, 606, 25226, 11144, 568, 476, 277, 519, 1587, 540, 476, 273, 526, 2165, 543, 476, 276, 628, 2165, 568, 910, 3199, 1547, 4855, 519, 2474, 540, 589, 10422, 780, 24216, 676, 32088, 593, 5239, 476, 279, 267, 476, 1001, 276, 692, 5415, 5381, 5999, 0, 258, 26228, 10025, 693, 513, 9717, 12039, 538, 513, 645, 15903, 26275, 2274, 564, 24927, 8827, 692, 11795, 22187, 5426, 23839, 692, 1012, 9046, 15048, 692, 763, 1966, 26228, 10025, 693, 513, 9717, 12039, 538, 513, 645, 15903, 26275, 2274, 564, 24927, 8827, 3081, 1411, 616, 2016, 1614, 2318, 9981, 281, 562, 267, 4994, 267, 543, 3193, 11764, 269, 1411, 1616, 547, 4020, 606, 5044, 15358, 263, 271, 268, 8161, 539, 264, 1109, 7474, 25389, 519, 1739, 2175, 1384, 1892, 15358, 32324, 2652, 562, 454, 1892, 15358, 5157, 316, 28812, 513, 1109, 27168, 8870, 1141, 476, 271, 10922, 1775, 2999, 562, 563, 1892, 2612, 25225, 5157, 316, 268, 333, 4548, 5157, 266, 272, 8079, 10922, 476, 272, 1141, 476, 271, 10922, 1775, 2999, 562, 268, 272, 563, 1892, 634, 2040, 540, 782, 519, 2609, 540, 15358, 1281, 711, 9765, 3193, 11764, 563, 1892, 15358, 27709, 316, 28812, 1109, 10946, 574, 1242, 780, 27987, 15358, 27709, 316, 1109, 1993, 519, 9112, 5044, 780, 9616, 602, 2612, 3287, 264, 1109, 3225, 1023, 1535, 1109, 604, 1535, 13843, 476, 271, 267, 543, 910, 343, 1109, 1278, 3772, 780, 333, 815, 476, 279, 692, 8161, 815, 476, 274, 692, 10946, 11764, 815, 476, 1691, 692, 274, 692, 333, 815, 476, 278, 692, 8161, 815, 476, 275, 692, 10946, 11764, 815, 476, 279, 692, 273, 692, 1012, 19247, 585, 26228, 10025, 693, 513, 9717, 12039, 538, 513, 645, 15903, 26275, 2274, 564, 24927, 8827, 1384, 328, 264, 1280, 519, 1101, 2013, 267, 1284, 666, 723, 519, 5044, 607, 1109, 314, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 4940, 1109, 1109, 3383, 519, 3193, 1871, 693, 4994, 476, 274, 568, 1109, 274, 269, 901, 568, 519, 3193, 1871, 649, 666, 723, 799, 25389, 782, 519, 10148, 780, 328, 264, 1280, 519, 2034, 2013, 267, 1284, 666, 723, 519, 5044, 607, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 272, 267, 476, 271, 4940, 1109, 1924, 519, 3193, 1871, 693, 4994, 476, 275, 568, 476, 273, 269, 901, 568, 519, 3193, 1871, 649, 666, 723, 799, 25389, 782, 519, 10148, 780, 2162, 22830, 1384, 2171, 1101, 798, 3193, 11764, 20699, 562, 2676, 6533, 782, 2609, 991, 1152, 547, 4570, 1109, 288, 5157, 316, 285, 284, 271, 780, 2171, 9352, 3406, 519, 3803, 1267, 1063, 2451, 30548, 1318, 2676, 3602, 2451, 815, 476, 271, 543, 1318, 815, 3193, 11764, 780, 2690, 1142, 1449, 267, 649, 2638, 519, 5934, 2040, 952, 589, 27709, 316, 815, 513, 563, 763, 5934, 2013, 1131, 581, 589, 27709, 316, 28812, 513, 8445, 538, 589, 563, 2005, 779, 606, 12980, 5311, 593, 519, 2451, 540, 589, 27709, 316, 609, 519, 3017, 476, 272, 563, 2005, 779, 849, 606, 12980, 5311, 593, 519, 1318, 540, 589, 27709, 316, 609, 519, 3017, 910, 272, 780, 4002, 519, 2451, 267, 589, 314, 271, 316, 815, 3193, 5416, 1107, 4994, 267, 476, 271, 13211, 4002, 519, 1318, 267, 589, 19559, 268, 272, 316, 815, 3193, 5416, 1107, 16733, 333, 268, 272, 264, 1107, 4994, 1070, 476, 271, 1070, 692, 763, 2040, 540, 12980, 5311, 2715, 321, 267, 536, 266, 272, 267, 26612, 320, 348, 2676, 3225, 1023, 547, 630, 320, 1341, 536, 264, 2608, 630, 320, 1107, 536, 1341, 476, 272, 8358, 476, 273, 780, 1012, 8943, 692, 2162, 10084, 5358, 585, 26228, 10025, 693, 513, 9717, 12039, 538, 513, 645, 15903, 26275, 692, 3499, 5035, 8827, 13634, 21504, 703, 3193, 19368, 17301, 562, 267, 703, 4994, 267, 703, 3193, 11764, 264, 13634, 10946, 11764, 20699, 562, 3248, 842, 2451, 815, 476, 271, 267, 1318, 815, 3193, 11764, 267, 4571, 3248, 6112, 630, 3847, 2999, 1318, 264, 13634, 13232, 815, 630, 3847, 1341, 1318, 1341, 476, 272, 264, 1315, 476, 273, 3248, 604, 630, 11687, 3799, 267, 4994, 267, 4571, 264, 10922, 3193, 11764, 994, 3847, 815, 4571, 3248, 12828, 454, 2431, 815, 4571, 910, 476, 272, 3248, 8679, 8873, 2451, 1341, 476, 272, 3248, 10926, 1440, 10675, 1279, 1449, 17301, 562, 267, 703, 4994, 267, 703, 513, 264, 13634, 842, 536, 815, 4569, 27982, 5416, 910, 4994, 267, 476, 271, 11850, 14075, 759, 815, 630, 14075, 7565, 320, 1341, 536, 264, 2608, 630, 320, 910, 536, 1341, 476, 272, 264, 1315, 476, 273, 3248, 321, 815, 4569, 27982, 5416, 910, 16733, 333, 910, 476, 272, 264, 910, 4994, 1070, 476, 271, 11850, 637, 6834, 630, 14075, 7565, 320, 1341, 536, 264, 2608, 630, 320, 910, 536, 1341, 476, 272, 264, 1315, 476, 273, 3248, 8873, 759, 910, 513, 3248, 8679, 348, 7884, 2162, 595, 10030, 5358, 585, 26228, 10025, 693, 513, 9717, 12039, 538, 513, 645, 15903, 26275, 692, 3499, 5035, 8827, 13634, 21504, 912, 842, 3193, 19368, 17301, 562, 267, 703, 4994, 267, 703, 3193, 11764, 264, 13634, 10946, 11764, 20699, 562, 3248, 842, 2451, 815, 476, 271, 267, 1318, 815, 3193, 11764, 267, 4571, 3248, 6112, 630, 3847, 2999, 1318, 264, 13634, 13232, 815, 630, 3847, 1341, 1318, 1341, 476, 272, 264, 1315, 476, 273, 3248, 604, 630, 11687, 3799, 267, 4994, 267, 4571, 264, 10922, 3193, 11764, 994, 3847, 815, 4571, 3248, 12828, 454, 2431, 815, 4571, 910, 476, 272, 3248, 8679, 8873, 2451, 1341, 476, 272, 3248, 10926, 14075, 1449, 17301, 562, 267, 703, 4994, 267, 703, 513, 264, 13634, 842, 536, 815, 3193, 5416, 910, 4994, 267, 476, 271, 11850, 14075, 759, 815, 1279, 5416, 1341, 536, 264, 2608, 630, 320, 910, 536, 1341, 476, 272, 264, 1315, 476, 273, 3248, 321, 815, 3193, 5416, 910, 16733, 333, 910, 476, 272, 264, 910, 4994, 1070, 476, 271, 11850, 637, 6834, 1279, 5416, 1341, 536, 264, 2608, 630, 320, 910, 536, 1341, 476, 272, 264, 1315, 476, 273, 3248, 8873, 759, 910, 513, 3248, 8679, 348, 282, 7884, 2162, 5124, 5358, 585, 26228, 10025, 693, 513, 9717, 12039, 538, 513, 645, 15903, 26275, 692, 3499, 5035, 8827, 24998, 2187, 3698, 3193, 19368, 4311, 267, 562, 267, 4994, 267, 3193, 11764, 2187, 3698, 1449, 5416, 2187, 321, 815, 3193, 5416, 910, 4994, 267, 476, 271, 994, 637, 815, 630, 320, 1341, 536, 264, 2608, 630, 320, 910, 536, 1341, 476, 272, 264, 1315, 476, 273, 454, 321, 815, 3193, 5416, 910, 16733, 333, 910, 476, 272, 264, 910, 4994, 1070, 476, 271, 994, 637, 6834, 630, 320, 1341, 536, 264, 2608, 630, 320, 910, 536, 1341, 476, 272, 264, 1315, 476, 273, 454, 8873, 759, 910, 513, 692, 10946, 11764, 20699, 562, 454, 3847, 267, 1318, 815, 476, 271, 267, 3193, 11764, 454, 6112, 2451, 2999, 1318, 912, 13232, 815, 630, 3847, 1341, 1318, 1341, 476, 272, 264, 1315, 476, 273, 454, 604, 1449, 9852, 573, 264, 10922, 3193, 11764, 912, 3847, 815, 4571, 454, 12828, 912, 2431, 815, 4571, 910, 476, 272, 454, 8873, 2451, 1341, 476, 272, 454, 7884, 1012, 29203, 5811, 585, 26228, 10025, 693, 513, 9717, 12039, 538, 513, 645, 15903, 26275, 2274, 564, 24927, 8827, 692, 2162, 5384, 29203, 692, 2690, 1142, 1871, 267, 649, 666, 2638, 519, 2040, 538, 744, 263, 272, 264, 1109, 942, 1210, 519, 4542, 269, 1924, 942, 6988, 568, 1109, 302, 263, 8421, 32384, 11764 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 971, 607, 912, 16482, 258, 910, 9695, 5288, 269, 8760, 454, 258, 910, 2866, 1305, 5288, 269, 1449, 1305, 5288, 269, 15418, 1305, 454, 258, 910, 18176, 14573, 585, 7893, 519, 2773, 540, 513, 3684, 1565, 2203, 630, 324, 3052, 1421, 681, 5960, 292, 267, 6111, 267, 3092, 8094, 258, 910, 1269, 330, 27572, 928, 11732, 12543, 454, 258, 910, 26254, 2409, 454, 258, 910, 2409, 585, 1257, 4393, 267, 971, 607, 9126, 540, 1913, 543, 570, 293, 268, 2839, 293, 454, 16482, 258, 1677, 5965, 267, 1118, 2386, 596, 616, 5432, 609, 519, 2035, 538, 30667, 476, 276, 267, 476, 277, 267, 543, 476, 1015, 540, 519, 1837, 269, 1411, 949, 581, 4280, 547, 1224, 543, 1174, 3009, 593, 519, 7688, 267, 855, 596, 786, 711, 723, 547, 2328, 1022, 3009, 269, 634, 7688, 786, 581, 1930, 26247, 267, 899, 519, 11400, 563, 16482, 258, 2368, 1806, 540, 519, 5686, 540, 2055, 594, 786, 2307, 616, 3177, 2630, 780, 258, 12361, 7151, 7726, 476, 272, 454, 16482, 258, 1280, 1142, 540, 519, 1739, 7653, 267, 3313, 2436, 513, 9695, 267, 8760, 267, 610, 24159, 2203, 568, 1034, 3617, 563, 16482, 258, 2878, 288, 269, 1262, 1411, 1131, 899, 547, 1628, 513, 3684, 1565, 2203, 602, 25221, 519, 3902, 540, 513, 2777, 267, 2016, 1344, 827, 519, 1297, 540, 5127, 7741, 267, 1297, 540, 8602, 7741, 267, 4009, 22089, 267, 543, 824, 2934, 563, 16482, 258, 2878, 289, 269, 1262, 1411, 723, 513, 1804, 6538, 540, 1688, 25740, 9704, 269, 3962, 7857, 814, 1044, 16924, 8947, 676, 513, 1480, 543, 13042, 607, 476, 271, 267, 476, 272, 267, 10371, 1421, 476, 280, 269, 1411, 1131, 899, 547, 1628, 513, 3684, 1565, 2203, 593, 713, 1239, 602, 267, 2016, 513, 11571, 540, 513, 1688, 25740, 1297, 267, 568, 2111, 547, 5431, 1018, 1297, 621, 568, 780, 258, 12361, 7151, 7726, 476, 273, 454, 16482, 258, 1411, 616, 3843, 547, 3589, 2436, 513, 13836, 2319, 786, 3094, 610, 6336, 1759, 593, 2934, 1269, 343, 318, 272, 259, 543, 1269, 343, 318, 273, 10608, 1411, 723, 2866, 1239, 267, 3254, 2630, 563, 16482, 258, 8206, 26514, 263, 330, 318, 31371, 26092, 26666, 994, 16482, 258, 1411, 3514, 513, 476, 275, 16250, 11732, 12543, 2203, 547, 713, 1239, 269, 2422, 713, 2203, 547, 3589, 519, 9041, 22238, 1464, 318, 602, 513, 2319, 609, 18159, 343, 318, 272, 267, 1535, 318, 273, 264, 815, 630, 273, 269, 271, 267, 476, 272, 269, 271, 29408, 6719, 538, 519, 4729, 1657, 607, 513, 3109, 12297, 267, 786, 3094, 2483, 16482, 258, 2878, 288, 269, 1262, 3267, 604, 519, 3845, 11973, 568, 28070, 3845, 563, 16482, 258, 2878, 289, 269, 1262, 3267, 604, 519, 3845, 11973, 568, 25482, 3845, 780, 258, 12361, 7151, 7726, 476, 274, 454, 16482, 258, 634, 4729, 2630, 2982, 1079, 14258, 602, 941, 3812, 585, 519, 3483, 540, 7446, 1269, 330, 259, 538, 513, 1269, 330, 27572, 928, 11732, 12543, 2203, 563, 16482, 258, 8206, 26514, 263, 3147, 5596, 318, 2017, 1407, 26666, 994, 16482, 258, 2878, 288, 269, 1262, 2290, 540, 519, 1079, 14258, 1657, 729, 3812, 676, 4881, 519, 1739, 3009, 585, 1114, 2418, 540, 2387, 330, 319, 563, 16482, 258, 476, 8199, 258, 2203, 815, 918, 10468, 662, 26092, 12218, 8595, 3799, 318, 31371, 26092, 284, 330, 994, 258, 3444, 26371, 23962, 263, 16347, 267, 2473, 17601, 267, 586, 17601, 267, 20956, 284, 1015, 267, 18176, 6889, 3147, 5596, 20257, 11743, 4590, 258, 476, 8199, 16482, 258, 6904, 7455, 729, 621, 630, 19990, 610, 10538, 25145, 16482, 258, 2878, 289, 269, 1262, 9122, 593, 519, 4729, 1657, 267, 799, 5526, 547, 581, 519, 1655, 1871, 540, 1269, 330, 259, 2496, 258, 12361, 7151, 7726, 476, 275, 454, 16482, 258, 1411, 616, 2679, 513, 29976, 547, 3589, 2436, 610, 711, 513, 23749, 6085, 786, 581, 11786, 269, 1411, 5721, 707, 29976, 593, 513, 2866, 1305, 540, 476, 1015, 267, 1822, 23749, 8292, 267, 540, 799, 1152, 476, 5611, 616, 11786, 563, 16482, 258, 2659, 29976, 25221, 602, 1169, 6085, 538, 519, 2866, 1305, 568, 1875, 9762, 7337, 658, 563, 16482, 258, 2878, 288, 269, 1262, 1548, 568, 519, 6111, 540, 707, 29976, 593, 519, 2866, 1305, 888, 16482, 258, 2878, 289, 269, 1262, 1548, 568, 519, 8856, 540, 707, 29976, 585, 7114, 9041, 12061, 318, 268, 4186, 7337, 658, 17408, 1115, 593, 519, 2866, 1305, 888, 16482, 258, 2878, 290, 269, 1262, 1548, 568, 519, 11291, 540, 707, 29976, 585, 7114, 9041, 12061, 318, 268, 4186, 7337, 658, 17408, 1115, 593, 519, 2866, 1305, 888, 16482, 258, 9041, 9616, 281, 318, 2659, 4267, 1058, 581, 2338, 1063, 476, 271, 543, 476, 272, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26743, 26298, 13786, 1043, 585, 1082, 4247, 267, 1519, 3350, 540, 1426, 2059, 24026, 267, 23822, 618, 543, 19432, 540, 1973, 8043, 267, 2450, 540, 10453, 267, 543, 1082, 824, 27373, 563, 31367, 17550, 540, 19432, 538, 1560, 543, 2295, 4887, 269, 1433, 26298, 19432, 10522, 602, 3350, 4386, 1063, 1250, 28009, 3444, 13123, 543, 957, 514, 269, 1717, 267, 713, 3350, 1281, 711, 8209, 1267, 538, 2110, 2287, 540, 519, 4887, 563, 2026, 513, 1267, 267, 1079, 5686, 540, 4887, 27373, 616, 3989, 281, 1772, 582, 4577, 27373, 2049, 950, 6091, 1689, 3259, 1282, 513, 19432, 269, 623, 10107, 909, 513, 1433, 568, 606, 1383, 563, 15404, 2193, 19432, 568, 513, 1950, 3126, 540, 3114, 2242, 3330, 519, 4887, 1591, 269, 1280, 513, 4887, 547, 4579, 267, 519, 4887, 6775, 568, 25623, 543, 7513, 12274, 616, 5950, 563, 763, 7513, 12274, 1847, 547, 519, 1647, 540, 519, 32646, 1260, 699, 269, 634, 32646, 1260, 699, 568, 519, 18784, 1858, 538, 519, 1647, 540, 519, 4887, 6775, 267, 799, 568, 1500, 540, 957, 514, 543, 1250, 28009, 269, 11569, 267, 519, 1079, 6724, 616, 703, 2954, 5532, 563, 6944, 847, 1006, 4016, 547, 519, 3196, 540, 519, 19432, 540, 519, 2295, 4887, 267, 799, 8060, 25789, 267, 543, 568, 519, 3119, 9936, 585, 18363, 11536, 309, 563, 763, 811, 3196, 995, 519, 19432, 568, 267, 519, 3152, 519, 25789, 543, 4130, 519, 11536, 309, 616, 269, 10815, 3196, 995, 27373, 1267, 538, 4130, 25789, 338, 543, 3677, 11536, 26394, 563, 1103, 713, 2376, 827, 4887, 17550, 596, 3513, 1205, 513, 5618, 2689, 540, 519, 4143, 4887, 3889, 543, 1451, 827, 519, 6850, 14428, 903, 328, 11043, 543, 17615, 3157, 1282, 513, 19432, 563, 306, 651, 13762, 6091, 267, 1528, 4435, 22817, 23993, 267, 3444, 1532, 16466, 4783, 267, 13666, 4577, 4887, 19432, 269, 3367, 811, 269, 9839, 4887, 849, 1572, 13487, 4887, 2306, 909, 519, 3774, 540, 519, 2295, 563, 9961, 938, 1272, 267, 621, 11731, 930, 476, 3583, 2053, 829, 8792, 23028, 827, 476, 276, 20990, 540, 1973, 1142, 8792, 269, 3911, 26743, 4887, 568, 1336, 538, 519, 6821, 540, 782, 519, 17860, 8219, 540, 519, 1560, 630, 21955, 519, 2295, 1040, 4706, 19432, 6971, 519, 2450, 540, 891, 3889, 269, 4935, 621, 269, 512, 1308, 5946, 1450, 519, 2295, 4887, 547, 1599, 607, 513, 5348, 1097, 339, 1756, 267, 602, 568, 267, 607, 1498, 2295, 4887, 2281, 941, 835, 1804, 4887, 6775, 267, 3079, 540, 5215, 540, 1367, 1660, 268, 2193, 2281, 630, 20983, 13543, 30155, 8245, 6714, 748, 19432, 568, 1898, 952, 20291, 3196, 568, 547, 581, 6383, 547, 6802, 1973, 856, 540, 519, 2295, 593, 1142, 10726, 269, 4438, 19432, 540, 513, 4887, 267, 7513, 12274, 12622, 547, 21050, 13908, 267, 4929, 4598, 540, 3742, 4609, 593, 957, 514, 1250, 1993, 559, 14613, 269, 634, 1250, 28009, 6675, 8936, 547, 519, 6534, 3742, 4609, 593, 519, 957, 514, 1250, 1993, 559, 14613, 547, 1106, 524, 832, 338, 1532, 5090, 2471, 267, 543, 19552, 568, 5950, 689, 519, 1250, 28009, 2212, 563, 5976, 799, 2295, 4887, 11731, 949, 581, 6766, 7494, 676, 2168, 2188, 607, 1134, 607, 676, 3114, 8069, 269, 4935, 267, 950, 9678, 2295, 4887, 568, 1031, 547, 1353, 519, 538, 32430, 3527, 540, 6878, 267, 24074, 616, 2356, 3144, 547, 1852, 519, 2837, 267, 519, 1019, 770, 4301, 6775, 3259, 267, 543, 519, 4908, 540, 19432, 540, 519, 4887, 563, 4322, 2188, 616, 269, 9839, 4887, 12346, 14311, 593, 20659, 10307, 585, 1648, 269, 14523, 2135, 807, 630, 534, 13385, 3761, 540, 5135, 264, 5012, 547, 13302, 15679, 338, 267, 2094, 10894, 6547, 30740, 2295, 19432, 616, 11658, 269, 18729, 2670, 568, 513, 2783, 538, 799, 4430, 7250, 12274, 616, 1459, 267, 543, 519, 3461, 779, 1973, 20475, 513, 563, 3674, 6248, 27373, 3277, 547, 11852, 540, 4887, 896, 2175, 538, 799, 621, 1281, 711, 1689, 3259, 269, 898, 568, 4767, 602, 3492, 878, 27373, 616, 1031, 547, 17108, 3615, 610, 1560, 2694, 563, 3674, 6248, 27373, 616, 1031, 547, 4368, 10549, 538, 930, 12122, 267, 6466, 26137, 27373, 616, 1031, 547, 632, 5120, 622, 3615, 610, 1560, 2694, 269, 634, 1480, 2295, 568, 513, 7415, 9028, 540, 12105, 4702, 563, 6826, 908, 827, 9392, 829, 1554, 543, 23028, 5176, 476, 273, 267, 17529, 540, 1973, 998, 606, 10562, 3126, 540, 15532, 267, 16209, 267, 543, 1698, 650, 2456, 602, 21269, 513, 3845, 3152, 512, 5195, 267, 519, 2295, 568, 519, 1034, 1271, 4887, 538, 519, 1480, 1560, 563, 272, 634, 5530, 540, 10610, 9577, 476, 273, 476, 273, 11906, 23531, 540, 519, 10610, 476, 2190, 476, 274, 8426, 12856, 543, 18726, 6513, 476, 2004, 476, 275, 2037, 10192, 543, 6052, 476, 10436, 476, 276, 8426, 1763, 17508, 543, 5450, 29440, 476, 277, 29568, 9737, 19204, 543, 519, 23448, 14978, 5113, 476, 278, 634, 32471, 748, 3590, 281, 3026, 584, 976, 543, 14271, 22663, 476, 279, 634, 6239, 32471, 748, 3590, 476, 280, 634, 4201, 21978, 32471, 748, 3590, 476, 1015, 11576, 800, 25665, 476, 1556, 563, 15404, 3380, 616, 13324, 676, 4887, 2281, 267, 799, 4579, 14350, 1369, 513, 4887, 547, 5352, 3196, 269, 901, 3196, 568, 2877, 547, 1711, 3350, 563, 2467, 616, 936, 6091, 538, 519, 1480, 1560, 282, 789, 616, 3743, 585, 1169, 3350, 649, 1118, 267, 689, 23028, 1973, 998, 519, 2295, 543, 3001, 1426, 998, 519, 9667, 1062, 267, 547, 1025, 9722, 543, 21400, 269, 26298, 19432, 568, 519, 11852, 540, 8082, 19356, 908, 4609, 1369, 4887, 11103, 563, 1103, 17550, 267, 4887, 19432, 1281, 711, 8209, 1611, 4887, 2110, 2287, 1317, 4887, 8082, 666, 581, 3812, 1510, 2242, 538, 4887, 3259, 267, 971, 607, 950, 8066, 513, 5230, 1433, 610, 513, 31945, 10428, 693, 519, 1482, 2990, 269, 634, 26694, 540, 4887, 19432, 568, 4553, 676, 4887, 11005, 267, 799, 568, 513, 563, 15404, 2193, 5160, 568, 7463, 585, 19432, 543, 5108, 540, 8082, 269, 634, 1114, 2010, 540, 4887, 5160, 616, 6198, 9542, 540, 519, 2596, 4579, 850, 1062, 540, 957, 514, 543, 1250, 28009, 269, 28024, 13762, 6091, 616, 3743, 585, 3350, 540, 519, 22403, 267, 13487, 4887, 585, 519, 19432, 540, 519, 2295, 602, 3123, 1973, 10009, 282, 5347, 4887, 568, 563, 8201, 2552, 3555, 540, 513, 26298, 27438, 589, 3444, 1532, 16466, 3029, 1063, 957, 514, 543, 519, 1250, 28009, 9843, 24254, 19432, 269, 1306, 1279, 607, 6970, 1341, 266, 12274, 2611, 538, 519, 26878, 22914, 547, 12622, 547, 21050, 13908, 267, 543, 607, 1279, 607, 21085, 568, 2139, 267, 519, 4887, 6775, 786, 3136, 547, 2110, 523, 563, 15404, 2193, 19432, 281, 25289, 17160, 883, 519, 4887, 1591, 11006, 609, 21050, 13908, 3850, 957, 514, 543, 1250, 28009, 547, 12622, 269, 634, 957, 514, 543, 1250, 28009, 3444, 13123, 12622, 543, 4579, 1210, 21085, 607, 1648, 630, 2969, 303, 568, 606, 1648, 7623, 602, 782, 2281, 946, 547, 4492, 741, 2534, 1107, 713, 568, 5941, 538, 3152, 1469, 538, 519, 1648, 1062, 17835, 1934, 693, 533, 11575, 1311, 1916, 16248, 2010, 540, 4887, 5160, 2291, 1369, 707, 1560, 281, 9315, 13519, 4887, 2306, 909, 519, 2295, 269, 634, 11103, 540, 13487, 4887, 616, 4839, 3481, 267, 20425, 2281, 602, 723, 835, 13540, 543, 4174, 725, 269, 9315, 13519, 4887, 19432, 568, 11207, 32246, 267, 2495, 621, 4386, 1510, 8401, 14242, 543, 3085, 1406, 2154, 6857, 1852, 563, 763, 1974, 540, 11005, 538, 519, 2295, 4887, 568, 5219, 547, 607, 1019, 770, 1961, 267, 543, 519, 1974, 540, 19432, 538, 519, 2295, 4887, 568, 1572, 30918, 1961, 269, 630, 32074, 568, 519, 3114, 3090, 585, 16035, 1040, 8382, 519, 1739, 2259, 2055, 593, 1957, 1354, 11173, 269, 589, 2689, 540, 20258, 4887, 6775, 630, 3250, 264, 19432, 17550, 1210, 7317, 27515, 543, 12222, 563, 9596, 811, 609, 17118, 543, 2978, 2454, 5751, 269, 2552, 3555, 25665, 1923, 19196, 2787, 4211, 2632, 3555, 21676, 7204, 269, 769, 20258, 4887, 11103, 267, 6850, 23755, 2534, 12153, 1250, 1993, 559, 3512, 3350, 269, 1452, 5532, 2621, 616, 5219, 547, 607, 29835, 269, 634, 17550, 540, 5348, 22663, 267, 4887, 19432, 267, 543, 519, 8238, 5669, 8401, 1062, 630, 23177, 264, 616, 9115, 9447, 538, 891, 6030, 267, 4749, 6026, 538, 5094, 5049, 563, 2005, 568, 2556, 547, 948, 519, 1053, 547, 15849, 30968, 713, 1702, 267, 865, 602, 789, 616, 2111, 547, 1174, 519, 3339, 15629, 3252, 543, 666, 4019, 713, 1702, 538, 4791, 269, 519, 5274, 10610, 476, 272, 16679, 9142, 281, 634, 2010, 540, 4053, 3380, 267, 9839, 19204, 909, 19171, 267, 3733, 28009, 543, 2920, 514, 267, 570, 1886, 3912, 28009, 543, 570, 1886, 13908, 543, 741, 1909, 538, 15725, 4887, 19432, 5437, 17976, 11929, 30667, 476, 280, 267, 1015, 26998, 476, 272, 5437, 476, 280, 6441, 629, 13658, 6953, 3861, 4053, 3380, 910, 6637, 476, 1321, 4985, 547, 519, 32471, 748, 3590, 910, 6637, 476, 1724, 634, 22845, 540, 519, 32471, 748, 3590, 563, 19859, 534, 10532, 540, 20260, 850, 19204, 543, 26287, 1231, 8299, 5509, 540, 20260, 850, 19204, 269, 634, 2101, 1599, 540, 13487, 4887, 2281, 630, 15258, 328, 3912, 14231, 610, 1250, 14231, 264, 568, 547, 14892, 519, 13487, 19432, 3146, 331, 1314, 566, 4579, 850, 5946, 540, 519, 2295, 9114, 1369, 891, 1250, 14231, 267, 799, 13822, 5111, 476, 4037, 260, 540, 519, 2698, 4320, 540, 519, 26961, 1756, 267, 4352, 1152, 5111, 835, 3791, 540, 519, 563, 25205, 13519, 26298, 9502, 269, 9315, 13519, 4887, 267, 849, 1634, 607, 2295, 4887, 267, 568, 519, 4494, 540, 4887, 5160, 799, 6013, 1063, 519, 1439, 18201, 1756, 543, 6418, 543, 9018, 6106, 540, 519, 2295, 267, 6606, 267, 3295, 519, 13487, 4887, 5160, 543, 5094, 621, 689, 519, 1973, 543, 824, 8219, 563, 25205, 13519, 4887, 568, 1500, 689, 9212, 540, 13487, 4887, 2281, 269, 5192, 713, 689, 513, 5399, 269, 24053, 2023, 543, 8065, 1837, 540, 2564, 17550, 563, 314, 11990, 661, 8065, 282, 14880, 595, 24053, 2023, 316, 4534, 901, 1007, 7160, 3568, 13801, 15428, 1344, 8720, 782, 519, 2127, 540, 2564, 17550, 563, 2419, 9532, 1331, 519, 2295, 267, 19344, 267, 519, 8401, 1062, 267, 5778, 31850, 5735, 543, 5026, 17550, 269, 634, 16757, 6802, 14340, 689, 27373, 540, 20258, 6091, 4478, 519, 15532, 563, 763, 27373, 25837, 519, 15532, 267, 16550, 519, 1973, 547, 1847, 4464, 267, 519, 1152, 4287, 621, 666, 1847, 950, 17901, 538, 519, 15532, 2673, 547, 2061, 1394, 6503, 269, 634, 7929, 6802, 568, 2813, 676, 519, 7269, 543, 19432, 540, 519, 9641, 1282, 7244, 563, 2026, 596, 1224, 713, 3184, 267, 2119, 547, 1832, 891, 18618, 2035, 538, 2247, 281, 6802, 543, 4887, 269, 4014, 519, 2165, 968, 24711, 892, 568, 606, 2296, 2262, 267, 13487, 630, 24711, 5829, 264, 16166, 666, 581, 14360, 1394, 547, 519, 5824, 2165, 267, 968, 330, 731, 807, 1848, 9315, 5735, 568, 519, 1353, 540, 519, 2295, 267, 543, 6315, 5505, 616, 519, 13500, 945, 4308, 5097, 609, 519, 2295, 563, 763, 4887, 2110, 839, 543, 1281, 960, 630, 9987, 281, 16116, 909, 513, 1433, 610, 737, 10107, 513, 3440, 264, 661, 24443, 27373, 26298, 12958, 3196, 607, 621, 561, 1263, 1492, 985, 630, 9987, 281, 6972, 909, 513, 14869, 14629, 5148, 476, 2004, 260, 811, 3196, 995, 982, 3492, 878, 543, 949, 2014, 15319, 1145, 269, 26298, 568, 513, 2571, 5160, 1336, 538, 1034, 2831, 563, 15404, 2193, 2281, 2270, 3940, 2083, 14613, 540, 957, 514, 543, 1250, 28009, 602, 13472, 2250, 835, 1776, 267, 6721, 513, 19432, 602, 2242, 1312, 519, 3259, 543, 519, 3337, 540, 519, 1591, 269, 4053, 3380, 1599, 547, 3132, 3196, 543, 616, 5097, 3743, 585, 4509, 543, 4657, 14302, 267, 21525, 10056, 267, 607, 1134, 607, 3350, 540, 4835, 8219, 267, 971, 607, 519, 11053, 2169, 1504, 540, 6481, 25665, 563, 31334, 634, 2450, 540, 519, 1433, 814, 1044, 11658, 865, 621, 666, 3514, 2552, 3555, 540, 28024, 13762, 26298, 476, 3393, 32516, 476, 278, 19196, 2787, 540, 28024, 13762, 26298, 281, 3026, 23757, 31100, 19196, 2787, 543, 2552, 3555, 540, 3911, 26743, 26298, 476, 6872, 476, 1460, 269, 6167, 3951, 8633, 634, 9839, 32516, 476, 280, 9315, 13519, 26298, 282, 634, 9839, 607, 513, 27124, 543, 9577, 540, 519, 9839, 4406, 1407, 25289, 5536, 4283, 519, 2295, 4887, 2281, 1282, 1142, 26470, 543, 3565, 547, 519, 5122, 5365, 602, 10974, 519, 2295, 779, 19432, 2090, 1419, 1445, 9003, 593, 1250, 1993, 756, 637, 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, 14946, 539, 585, 519, 8433, 540, 25220, 3194, 538, 476, 1220, 280, 267, 713, 6174, 729, 2966, 547, 2932, 5836, 14015, 13178, 267, 7175, 621, 5732, 547, 3713, 3114, 29908, 267, 6895, 519, 4527, 540, 9635, 543, 20140, 1149, 267, 543, 7747, 519, 9194, 540, 3506, 540, 3165, 563, 25748, 267, 513, 2319, 693, 9098, 24728, 814, 4824, 519, 2773, 540, 713, 30736, 7669, 1067, 267, 7175, 621, 547, 1732, 7753, 519, 7687, 540, 922, 5841, 2960, 543, 1732, 17932, 519, 3020, 5163, 540, 513, 21297, 8127, 269, 19672, 593, 713, 1007, 1374, 543, 875, 621, 1522, 1683, 1007, 4030, 883, 21297, 8127, 27668, 6127, 786, 581, 4843, 693, 519, 476, 1001, 272, 5870, 540, 519, 1977, 8447, 5980, 779, 10406, 540, 29079, 18868, 538, 22768, 267, 631, 323, 1421, 8734, 269, 476, 736, 268, 2420, 563, 6097, 547, 9098, 24728, 7344, 11653, 5981, 16645, 534, 826, 9366, 267, 7605, 19390, 11481, 5654, 1360, 2147, 547, 606, 4890, 21297, 8127, 269, 968, 21132, 9511, 568, 23652, 3592, 4010, 689, 513, 7599, 21297, 8127, 1496, 288, 675, 20377, 28050, 7534, 316, 2223, 646, 1767, 269, 634, 8773, 568, 3710, 856, 540, 30736, 543, 3096, 3337, 3965, 18585, 630, 306, 7246, 264, 27103, 2209, 547, 7669, 563, 2414, 1847, 998, 519, 1216, 267, 519, 2067, 3662, 3096, 519, 11350, 3296, 540, 922, 1560, 267, 799, 632, 13257, 543, 11731, 547, 1683, 19876, 269, 634, 2539, 267, 610, 18848, 3101, 267, 3296, 540, 519, 11350, 568, 1634, 607, 519, 8465, 14345, 267, 543, 621, 632, 13257, 5594, 2663, 538, 519, 10977, 1184, 982, 519, 1964, 540, 519, 11350, 269, 19402, 5063, 267, 2705, 267, 7605, 19390, 11481, 26218, 713, 2629, 4062, 540, 14169, 538, 922, 1374, 563, 309, 650, 534, 826, 9366, 543, 1010, 9164, 7318, 513, 1297, 540, 1114, 6272, 585, 741, 8773, 267, 930, 609, 543, 1510, 606, 12746, 547, 513, 8465, 14345, 269, 21231, 267, 519, 5841, 2326, 1031, 538, 4070, 4843, 513, 1966, 269, 9521, 741, 2067, 13413, 267, 519, 5841, 2326, 22157, 547, 16784, 607, 789, 632, 11526, 267, 4227, 7605, 19390, 11481, 779, 2773, 269, 2991, 4152, 513, 1297, 540, 6272, 543, 13080, 585, 519, 24208, 14345, 267, 519, 8030, 4362, 602, 5969, 27061, 883, 519, 11350, 4389, 713, 13311, 24208, 1198, 563, 1607, 5795, 7605, 19390, 11481, 513, 1854, 518, 10977, 8482, 267, 607, 1134, 607, 513, 2462, 5818, 538, 3432, 563, 2108, 4322, 2164, 5693, 6542, 602, 519, 1166, 777, 4249, 606, 1271, 1909, 538, 519, 27668, 7271, 540, 7605, 19390, 11481, 543, 2488, 606, 26715, 1620, 540, 2067, 21297, 8127, 2223, 1767, 16645, 534, 340, 969, 320, 563, 763, 2911, 267, 968, 22546, 338, 540, 513, 8465, 14345, 593, 7605, 19390, 11481, 642, 29448, 3889, 2223, 568, 693, 476, 274, 281, 4962, 533, 6230, 269, 593, 13638, 267, 8734, 269, 476, 2420, 267, 476, 1001, 272, 267, 538, 18740, 476, 27844, 269, 17593, 281, 5291, 2517, 11274, 13548, 269, 2355, 3820, 270, 13548, 19072, 16703, 318, 5263, 291, 1556, 268, 1001, 272, 268, 9826, 3583, 277, 15005, 300, 16800, 631, 7417, 16249, 5442, 19489, 7246, 3582, 454, 28846, 9791, 1923, 1715, 1873, 1047, 3163, 5240, 454, 288, 1007, 1505, 585, 519, 476, 274, 5937, 8228, 540, 2713, 8031, 454, 1626, 269, 5400, 269, 1001, 278, 1923, 2160, 540, 10228, 454, 289, 1120, 600, 582, 2940, 910, 782, 1005, 543, 24037, 585, 13495, 1075, 320, 694, 868, 320, 454, 2641, 269, 6860, 269, 1001, 278, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 2447, 27528, 3331, 500, 330, 860, 773, 454, 2662, 529, 27128, 19922, 7154, 630, 310, 14875, 264, 6949, 2209, 616, 1031, 547, 1118, 6263, 2890, 2000, 553, 619, 267, 8596, 267, 17176, 267, 31425, 543, 824, 3457, 269, 1452, 6263, 3889, 7048, 593, 513, 2483, 8794, 16600, 9724, 30303, 540, 8955, 543, 1535, 11920, 5982, 267, 3744, 693, 519, 7665, 23851, 4659, 540, 17747, 8838, 923, 630, 294, 31186, 267, 5125, 264, 3576, 25135, 32718, 540, 519, 5618, 652, 6475, 5163, 3330, 513, 4396, 1570, 547, 4266, 269, 634, 6475, 5163, 16768, 1152, 476, 16020, 5479, 2195, 540, 519, 5479, 628, 540, 513, 2034, 1354, 621, 535, 20557, 267, 4259, 513, 1007, 2594, 540, 1480, 12588, 547, 7001, 16600, 9724, 3157, 3330, 17571, 2336, 2691, 1535, 17530, 19542, 5196, 4396, 2326, 610, 1804, 6675, 267, 606, 6475, 568, 14593, 2476, 689, 922, 3312, 1747, 2282, 519, 13540, 540, 519, 11046, 267, 6028, 513, 8559, 2483, 2690, 519, 1101, 942, 267, 21575, 723, 6707, 708, 3042, 18700, 6419, 19280, 538, 513, 1617, 11717, 549, 545, 1570, 269, 1452, 2326, 616, 2808, 3810, 9621, 10457, 585, 2104, 1239, 4859, 2923, 269, 634, 3173, 941, 2111, 547, 6961, 741, 4681, 1210, 2189, 7061, 8596, 602, 941, 2919, 693, 30239, 2160, 543, 602, 666, 5659, 13590, 4610, 593, 519, 6289, 10309, 4336, 269, 634, 2164, 1107, 5833, 676, 3744, 689, 519, 2160, 540, 30239, 779, 4972, 540, 8212, 267, 519, 18230, 15089, 657, 7220, 4659, 267, 519, 2160, 540, 8053, 335, 749, 1512, 543, 1896, 20682, 689, 2160, 8303, 4149, 659, 26792, 1107, 941, 5063, 3370, 538, 519, 4760, 7186, 563, 11372, 11717, 549, 923, 616, 2326, 602, 8195, 2746, 547, 3167, 543, 6419, 4610, 269, 1452, 1079, 3601, 616, 10355, 1336, 1927, 267, 543, 741, 5916, 2483, 11586, 300, 3163, 289, 16466, 717, 3387, 295, 6707, 7858, 7007, 513, 12689, 6876, 1063, 2160, 6481, 4741, 717, 7238, 339, 1154, 523, 630, 9331, 294, 264, 543, 519, 1979, 1774, 577, 2754, 570, 22568, 7010, 670, 13783, 717, 3387, 295, 827, 5010, 946, 540, 513, 3818, 2914, 749, 5160, 6676, 585, 12747, 543, 6325, 5160, 4702, 1299, 3075, 4152, 563, 11586, 300, 3163, 289, 16466, 717, 3387, 295, 6707, 7858, 7007, 513, 12689, 6876, 1063, 2160, 6481, 4741, 717, 7238, 339, 1154, 523, 630, 9331, 294, 264, 543, 519, 1979, 1774, 577, 2754, 570, 22568, 7010, 2483, 26073, 8328, 4551, 616, 4742, 11259, 547, 1455, 11216, 547, 606, 2479, 2810, 4110, 269, 2290, 540, 519, 1034, 2352, 17900, 568, 28342, 14137, 553, 7098, 1872, 514, 6242, 267, 513, 2483, 866, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 1321, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 6187, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 736, 269, 6021, 269, 1001, 278, 1923, 5020, 7070, 454, 736, 269, 6021, 269, 1001, 278, 1923, 5295, 543, 15379, 7177, 454, 736, 269, 6021, 269, 1001, 278, 1923, 8212, 543, 18395, 0, 28095, 1382, 814, 3254, 602, 7489, 2550, 609, 5761, 2860, 616, 811, 2693, 547, 22426, 28603, 531, 2208, 3815, 13805, 630, 9680, 15709, 264, 13592, 269, 5015, 267, 7489, 2550, 609, 5761, 2860, 616, 811, 2693, 547, 581, 1875, 23337, 758, 619, 982, 5375, 2550, 609, 5761, 2860, 563, 10932, 538, 519, 2904, 476, 1001, 273, 3390, 540, 519, 4139, 5948, 585, 519, 5530, 540, 25016, 9435, 781, 630, 296, 3008, 9448, 264, 4750, 540, 18897, 25714, 2201, 19223, 4422, 4514, 267, 11567, 4719, 2188, 543, 7296, 4598, 538, 5545, 5761, 2860, 2550, 269, 12867, 6743, 693, 519, 11976, 540, 476, 278, 1626, 5545, 2550, 609, 5761, 2860, 543, 476, 278, 1626, 1510, 269, 1358, 1336, 267, 834, 1492, 14726, 678, 338, 15782, 16960, 5952, 267, 678, 338, 14530, 278, 2764, 277, 543, 678, 338, 280, 4029, 8064, 275, 22297, 547, 519, 8863, 11748, 276, 4211, 295, 11748, 274, 4211, 16281, 301, 289, 275, 12440, 593, 15694, 476, 1428, 336, 1839, 9168, 519, 1764, 540, 16906, 7296, 593, 5761, 2860, 1981, 267, 855, 4951, 1100, 19250, 1713, 2101, 1198, 593, 519, 1981, 540, 5761, 2860, 1701, 1358, 9959, 602, 972, 568, 513, 1713, 3017, 538, 519, 1764, 540, 7296, 593, 5761, 2860, 1981, 1851, 5449, 21596, 1063, 1346, 609, 543, 1510, 4719, 1981, 563, 763, 4589, 9959, 602, 519, 476, 1428, 336, 1839, 4719, 3148, 1058, 581, 6594, 2417, 563, 763, 1291, 2278, 540, 713, 960, 568, 3220, 269, 670, 573, 655, 328, 898, 334, 269, 594, 3008, 9448, 4759, 1071, 22052, 4243, 1331, 3220, 269, 962, 553, 25775, 962, 520, 23042, 543, 3220, 269, 570, 1115, 340, 5984, 631, 1080, 644, 23449, 269, 10666, 519, 594, 3008, 9448, 912, 2145, 26186, 603, 1923, 31823, 2336, 300, 12817, 10414, 11576, 832, 454, 736, 269, 6021, 269, 1001, 278, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 4437, 32554, 773, 454, 293, 8803, 512, 611, 335, 3421, 9594, 15366, 15859, 538, 8914, 20883, 454, 736, 269, 6021, 269, 1001, 278, 1923, 16076, 514, 7564, 3944, 539, 714, 17430, 3832, 10713, 28059, 654, 1329, 454, 866, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 1321, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 6187, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 736, 269, 6021, 269, 1001, 278, 1923, 5020, 7070, 454, 736, 269, 6021, 269, 1001, 278, 1923, 5295, 543, 15379, 7177, 454, 736, 269, 6021, 269, 1001, 278, 1923, 8212, 543, 18395, 0, 763, 1876, 540, 519, 5769, 814, 1100, 1686, 547, 2887, 1394, 593, 269, 15536, 1876, 568, 1373, 2919, 676, 16488, 945, 1590, 798, 741, 1655, 547, 3514, 3656, 13882, 593, 519, 5769, 883, 840, 1410, 12371, 3656, 10850, 269, 634, 3656, 3741, 12044, 2932, 543, 16450, 538, 2166, 1499, 10628, 616, 1869, 538, 513, 1533, 540, 13441, 269, 2060, 782, 519, 1344, 602, 568, 22121, 593, 519, 4950, 621, 2306, 621, 606, 2653, 3077, 585, 10963, 547, 581, 8149, 269, 1411, 5385, 707, 2123, 1344, 1169, 942, 610, 6443, 513, 1514, 3060, 269, 5899, 13377, 616, 9846, 3843, 547, 1569, 713, 2123, 1344, 827, 1866, 865, 621, 666, 581, 1031, 538, 824, 2081, 269, 634, 4950, 1876, 568, 5373, 538, 811, 1004, 3232, 585, 1210, 282, 621, 568, 849, 5373, 6760, 538, 269, 634, 10963, 593, 519, 4950, 616, 20387, 3232, 269, 1703, 616, 1082, 1114, 5686, 540, 10963, 602, 616, 2944, 585, 1114, 4128, 269, 2368, 10963, 899, 28892, 616, 2944, 865, 513, 1268, 666, 723, 2909, 21794, 2924, 269, 4033, 10963, 616, 2944, 538, 1931, 547, 1205, 513, 1268, 2123, 1344, 865, 621, 666, 581, 759, 1245, 593, 519, 3109, 2344, 269, 1703, 616, 1114, 2010, 540, 4950, 10963, 267, 2780, 5528, 799, 1611, 536, 1824, 267, 17494, 267, 8290, 543, 28892, 269, 8950, 703, 6350, 687, 723, 1044, 1634, 547, 1491, 1524, 2347, 1949, 538, 1082, 1114, 3906, 269, 6884, 621, 779, 1776, 3919, 5679, 12177, 519, 6735, 856, 585, 513, 1247, 269, 898, 568, 849, 2576, 16462, 547, 2909, 326, 602, 789, 11360, 539, 883, 513, 2101, 1062, 543, 22314, 1919, 543, 1500, 519, 1062, 16154, 269, 1452, 616, 1175, 513, 1906, 540, 519, 4950, 10963, 602, 616, 8149, 1472, 519, 9219, 269, 1703, 568, 4950, 1876, 547, 6023, 4950, 10963, 269, 1452, 4950, 4031, 616, 18808, 609, 1175, 899, 513, 6760, 602, 729, 711, 8149, 593, 519, 4950, 269, 1703, 786, 581, 14869, 22717, 543, 1256, 21569, 942, 952, 513, 7606, 568, 9575, 3257, 1022, 1826, 540, 6760, 593, 519, 4950, 269, 634, 1158, 568, 2870, 4950, 4031, 1318, 1631, 513, 1184, 602, 568, 1312, 3078, 543, 31029, 547, 4585, 269, 9521, 824, 2127, 540, 16450, 602, 666, 2490, 547, 3140, 5389, 547, 948, 7017, 13882, 543, 3391, 519, 1646, 540, 519, 1876, 267, 519, 1876, 540, 5769, 814, 1100, 1686, 547, 2887, 1394, 593, 269, 15536, 1876, 568, 3079, 1373, 2919, 676, 16488, 945, 1590, 798, 741, 1655, 547, 3514, 3656, 13882, 593, 519, 5769, 883, 840, 1410, 12371, 3656, 10850, 563, 12041, 568, 606, 10324, 609, 519, 1876, 1895, 269, 1280, 811, 1344, 593, 1876, 540, 519, 5769, 3643, 519, 3896, 1876, 540, 519, 5769, 454, 288, 7803, 15818, 1568, 585, 1004, 945, 616, 15034, 540, 21688, 23888, 971, 607, 14213, 267, 1920, 5208, 267, 12638, 267, 900, 2041, 3960, 2211, 3092, 269, 3622, 267, 519, 3028, 540, 513, 7803, 15818, 568, 1898, 547, 1118, 2386, 602, 782, 707, 3656, 2924, 616, 1352, 2741, 1229, 2429, 519, 16324, 1184, 269, 1306, 519, 7803, 4539, 949, 1331, 26646, 267, 16601, 2126, 267, 22717, 543, 2625, 725, 621, 568, 2141, 19624, 547, 16926, 513, 8878, 7803, 15818, 609, 7850, 4274, 1145, 543, 1995, 538, 519, 2361, 269, 1703, 616, 1585, 2200, 2139, 856, 972, 547, 1265, 513, 19579, 543, 4810, 7803, 15818, 563, 29490, 3277, 23552, 616, 2808, 547, 581, 607, 519, 1034, 1271, 2707, 269, 634, 2012, 540, 513, 1065, 3176, 543, 2841, 539, 7803, 15818, 949, 2501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 264, 476, 273, 2608, 685, 2608, 685, 630, 324, 264, 2048, 342, 685, 1315, 2048, 299, 685, 7043, 5025, 985, 4546, 5999, 476, 272, 269, 2776, 25785, 532, 519, 7503, 547, 519, 1239, 1826, 23403, 713, 269, 271, 269, 513, 815, 476, 274, 269, 271, 661, 1341, 476, 273, 269, 678, 815, 476, 276, 269, 1015, 32530, 16739, 6730, 12327, 2207, 290, 3041, 2464, 10374, 5025, 985, 4546, 5999, 476, 272, 269, 901, 568, 1634, 607, 1826, 26511, 780, 275, 269, 1548, 568, 1826, 7503, 286, 4208, 568, 621, 1031, 538, 513, 1982, 286, 3503, 513, 1982, 1210, 12980, 7503, 269, 703, 536, 815, 476, 7742, 269, 476, 276, 269, 835, 693, 513, 942, 269, 278, 268, 273, 269, 676, 2655, 23082, 519, 1739, 585, 4082, 20166, 704, 2209, 543, 25285, 2715, 703, 513, 815, 476, 14862, 269, 4855, 519, 1871, 540, 1535, 950, 1535, 815, 4082, 269, 1347, 678, 815, 476, 272, 269, 10581, 535, 815, 476, 272, 269, 7756, 5573, 1063, 22228, 543, 9266, 11346, 269, 1839, 661, 1341, 476, 272, 269, 276, 270, 271, 269, 4208, 616, 5399, 3252, 1898, 585, 513, 1982, 286, 476, 6924, 8682, 268, 9743, 2315, 531, 7698, 1547, 4208, 616, 19585, 12427, 1031, 286, 3503, 513, 1982, 1210, 19585, 11346, 269, 272, 265, 324, 270, 1015, 630, 336, 264, 513, 2608, 476, 273, 1341, 476, 273, 265, 320, 11486, 630, 337, 264, 678, 256, 815, 521, 476, 273, 269, 5272, 942, 596, 12990, 269, 476, 277, 269, 1347, 521, 815, 2048, 335, 9957, 3503, 519, 1267, 540, 519, 1982, 269, 3503, 2110, 4967, 593, 281, 7358, 1807, 9551, 775, 1133, 776, 11346, 23030, 11346, 476, 274, 269, 1839, 269, 8263, 602, 1100, 824, 4238, 723, 3144, 1747, 1354, 543, 519, 3355, 2418, 2611, 607, 789, 941, 281, 630, 320, 264, 513, 10030, 630, 321, 264, 1341, 266, 320, 630, 322, 264, 536, 1107, 1107, 630, 323, 264, 1107, 536, 630, 324, 264, 513, 266, 815, 536, 630, 325, 264, 513, 1700, 815, 536, 630, 326, 264, 535, 27160, 630, 327, 264, 535, 260, 324, 630, 328, 264, 513, 2608, 536, 630, 329, 264, 513, 11486, 630, 330, 264, 535, 1341, 552, 630, 331, 264, 535, 1107, 552, 630, 332, 264, 535, 2608, 552, 630, 333, 264, 513, 2608, 536, 2608, 476, 1015, 630, 334, 264, 476, 274, 1341, 513, 1315, 476, 275, 1341, 536, 270, 1839, 1107, 476, 1015, 630, 335, 264, 535, 1341, 476, 274, 269, 10581, 552, 815, 476, 272, 269, 7684, 10691, 2464, 1772, 972, 1022, 5470, 538, 519, 1657, 1982, 286, 25351, 1518, 952, 1022, 780, 290, 676, 20570, 269, 476, 1960, 277, 269, 1715, 16156, 281, 22680, 289, 22910, 269, 654, 269, 7358, 2209, 543, 25285, 10691, 2464, 8682, 268, 9743, 2315, 531, 7698, 476, 7597, 1547, 29088, 517, 269, 589, 3689, 3883, 540, 4888, 10485, 595, 269, 23340, 269, 667, 269, 5576, 320, 636, 779, 20895, 10022, 269, 274, 269, 476, 1220, 277, 269, 476, 1220, 276, 269, 476, 273, 526, 7160, 269, 1556, 674, 7838, 8025, 2207, 30426, 5058, 717, 2714, 325, 3072, 269, 14691, 609, 595, 269, 20574, 654, 269, 476, 2735, 279, 269, 476, 1220, 271, 269, 4521, 3271, 269, 543, 667, 12447, 681, 527, 2151, 269, 476, 1220, 272, 269, 1715, 3840, 281, 17755, 3863, 6953, 650, 269, 15588, 338, 23045, 269, 476, 1960, 280, 269, 4197, 7313, 26262, 538, 595, 269, 595, 14691, 5678, 269, 962, 1662, 342, 656, 269, 623, 2784, 760, 543, 2494, 553, 13850, 9655, 269, 11785, 281, 5410, 2581, 8862, 525, 2917, 269, 4993, 281, 774, 1682, 517, 269, 1546, 344, 269, 2142, 327, 709, 345, 589, 269, 20855, 564, 22894, 269, 1715, 14948, 281, 623, 1370, 823, 8065, 269, 1715, 16156, 281, 22680, 289, 22910, 269, 476, 273, 526, 7160, 269, 23340, 269, 1635, 1258, 590, 269, 8950, 3163, 281, 589, 13419, 3293, 14691, 13979, 4635, 595, 269, 476, 273, 526, 7160, 269, 4993, 281, 774, 1682, 517, 269, 476, 1960, 277, 269, 1715, 14948, 281, 654, 6918, 4964, 630, 11990, 12070, 2917, 1299, 25860, 1040, 543, 700, 269, 476, 1220, 271, 269, 962, 1662, 342, 656, 269, 11554, 609, 595, 269, 634, 3203, 540, 14691, 8950, 3163, 609, 2048, 290, 9957, 590, 269, 24697, 595, 269, 476, 274, 6113, 7160, 269, 1715, 16156, 281, 10228, 14451, 4065, 269, 15588, 338, 23045, 269, 543, 9400, 674, 269, 2382, 656, 595, 14691, 269, 5696, 976, 517, 269, 1715, 14948, 281, 4639, 14539, 7577, 269, 476, 1220, 274, 269, 20855, 564, 22894, 269, 16500, 6199, 269, 2913, 721, 595, 269, 20855, 564, 22894, 269, 27722, 808, 269, 8950, 26386, 543, 14691, 538, 595, 269, 1280, 537, 345, 534, 269, 962, 1662, 342, 656, 269, 594, 341, 528, 269, 476, 1960, 276, 269, 1715, 16156, 281, 22680, 289, 22910, 269, 918, 1716, 662, 534, 780, 14294, 909, 547, 8917, 593, 713, 2140, 0, 258, 1215, 1082, 10101, 540, 7601, 616, 2838, 547, 5372, 1547, 276, 18253, 540, 8988, 24277, 630, 6518, 568, 15702, 538, 1216, 1070, 14322, 513, 7601, 630, 2862, 264, 1587, 2496, 11321, 476, 275, 267, 476, 1001, 277, 692, 2791, 991, 476, 1626, 575, 540, 7601, 780, 2971, 19247, 1384, 763, 3830, 585, 519, 5114, 568, 692, 257, 273, 13070, 257, 317, 266, 2891, 26698, 8442, 1341, 834, 290, 340, 4433, 17983, 9890, 834, 273, 13070, 4433, 17983, 1341, 834, 290, 340, 257, 22677, 273, 266, 264, 2891, 26698, 15419, 3721, 476, 272, 269, 12433, 519, 18253, 540, 4399, 3667, 346, 290, 340, 4151, 2838, 780, 271, 269, 276, 2681, 263, 1042, 7565, 322, 30327, 263, 10233, 263, 18872, 264, 2891, 28485, 3397, 257, 317, 266, 30727, 6398, 834, 272, 12387, 19923, 257, 14370, 273, 2681, 263, 1042, 7565, 322, 30327, 263, 10233, 263, 18872, 264, 2891, 28485, 3397, 257, 317, 266, 4297, 4297, 815, 834, 271, 269, 1839, 12387, 19923, 5016, 3721, 476, 273, 269, 12433, 519, 2527, 540, 4399, 3667, 346, 290, 340, 31859, 271, 269, 1839, 2681, 263, 1042, 7565, 322, 30327, 263, 10233, 263, 18872, 264, 2891, 28485, 19923, 257, 30727, 6398, 834, 8287, 269, 4649, 575, 19923, 257, 14370, 272, 2681, 263, 1042, 7565, 322, 30327, 263, 10233, 263, 18872, 264, 2891, 28485, 19923, 257, 4297, 4297, 815, 834, 1626, 575, 19923, 257, 0, 258, 1548, 1281, 519, 14263, 1129, 607, 513, 3413, 1460, 1611, 2496, 272, 269, 4119, 476, 275, 267, 476, 1001, 274, 692, 2162, 2311, 3757, 692, 17098, 16963, 6097, 547, 26264, 519, 14263, 1129, 568, 513, 796, 776, 11346, 630, 320, 2258, 1807, 1040, 6726, 725, 616, 2944, 1318, 1256, 952, 519, 14263, 1129, 568, 2808, 547, 581, 513, 11196, 272, 264, 12750, 1512, 780, 1692, 547, 2491, 267, 585, 3236, 267, 910, 263, 320, 17070, 6661, 268, 320, 266, 268, 321, 952, 519, 1129, 568, 2808, 606, 11346, 2496, 12552, 13718, 273, 269, 4119, 476, 275, 267, 476, 1001, 274, 692, 2162, 29673, 21914, 692, 1805, 3530, 9622, 7978, 454, 763, 2733, 5737, 3959, 540, 8691, 269, 634, 3056, 14263, 1129, 568, 6697, 547, 8691, 676, 910, 272, 780, 274, 269, 4119, 476, 275, 267, 476, 1001, 274, 692, 2162, 667, 670, 692, 1805, 3530, 9622, 7978, 454, 2252, 8691, 6818, 267, 602, 568, 780, 6546, 910, 263, 320, 17070, 264, 815, 11196, 320, 264, 1341, 11196, 321, 264, 568, 3020, 1256, 538, 513, 1895, 609, 1840, 630, 328, 4318, 1421, 8691, 568, 711, 3989, 264, 7132, 606, 19605, 11201, 269, 1411, 1810, 1405, 991, 547, 1045, 5803, 8691, 780, 275, 269, 4119, 476, 275, 267, 476, 1001, 274, 692, 2162, 667, 670, 692, 1805, 3530, 9622, 7978, 454, 6546, 8591, 2608, 333, 5847, 265, 547, 519, 4901, 267, 5309, 5497, 780, 2414, 519, 20525, 267, 596, 666, 1397, 602, 910, 263, 320, 17070, 264, 815, 910, 320, 1341, 910, 321, 1510, 1045, 3183, 8691, 269, 2353, 596, 991, 568, 602, 454, 1892, 513, 266, 8987, 320, 6661, 271, 585, 782, 2609, 538, 519, 1895, 630, 3698, 6873, 540, 19605, 11201, 13211, 1892, 1840, 568, 6806, 630, 810, 513, 17070, 6818, 13211, 1892, 1840, 568, 1997, 894, 630, 320, 23444, 321, 25239, 6661, 263, 320, 17070, 11924, 322, 1070, 543, 454, 1892, 7862, 568, 1098, 1438, 630, 604, 513, 284, 321, 543, 536, 284, 322, 1287, 513, 284, 322, 6393, 276, 269, 4119, 476, 275, 267, 476, 1001, 274, 692, 2162, 2311, 3757, 692, 19675, 594, 1589, 713, 1259, 281, 952, 630, 320, 17070, 11924, 24179, 320, 17070, 264, 815, 476, 271, 267, 1287, 513, 17070, 266, 24179, 320, 17070, 264, 815, 476, 271, 267, 4061, 910, 263, 320, 17070, 6661, 268, 320, 266, 268, 321, 692, 296, 4312, 1336, 713, 1433, 630, 10059, 2517, 4178, 269, 600, 7571, 2593, 270, 9248, 7933, 335, 270, 5400, 273, 9264, 7597, 274, 311, 1070, 855, 922, 1377, 4667, 1657, 9553, 563, 3674, 972, 513, 1433, 596, 666, 4363, 609, 513, 3184, 799, 18327, 782, 519, 818, 603, 5471, 673, 270, 531, 5040, 545, 3652, 2496, 12552, 585, 948, 780, 8310, 12995, 676, 513, 15645, 1807, 281, 2904, 476, 277, 267, 476, 1001, 278, 454, 277, 269, 4119, 476, 275, 267, 476, 1001, 274, 692, 2162, 2311, 3757, 692, 1432, 827, 536, 8584, 15871, 263, 320, 1532, 21663, 634, 2856, 540, 3206, 540, 14263, 607, 513, 11196, 272, 264, 12750, 1512, 2306, 621, 4443, 547, 960, 609, 543, 13861, 15821, 7215, 269, 1403, 519, 14263, 1129, 568, 3079, 513, 796, 776, 11346, 267, 1287, 1946, 865, 1082, 630, 21955, 26264, 264, 2959, 1810, 1405, 2446, 602, 2496, 278, 269, 4119, 476, 275, 267, 476, 1001, 274, 692, 2162, 667, 670, 692, 1805, 3530, 9622, 7978, 454, 11386, 519, 2165, 834, 5417, 1438, 11201, 257, 543, 596, 3513, 1294, 6266, 543, 6266, 540, 2985, 267, 1519, 28957, 267, 602, 3382, 713, 1888, 780, 279, 269, 4119, 476, 276, 267, 476, 1001, 274, 692, 2162, 3579, 592, 23669, 692, 684, 8413, 267, 811, 543, 811, 519, 14263, 1129, 568, 1373, 14648, 607, 606, 11346, 269, 10606, 4163, 513, 1129, 4061, 519, 11984, 1063, 910, 273, 543, 910, 263, 273, 264, 568, 3478, 811, 543, 811, 23324, 269, 2487, 1257, 2835, 607, 1134, 607, 834, 8243, 691, 257, 26732, 723, 910, 273, 317, 273, 815, 910, 275, 269, 543, 1152, 723, 11196, 273, 8203, 273, 815, 1341, 275, 269, 10606, 1058, 4163, 513, 1129, 267, 594, 3494, 602, 568, 851, 540, 519, 4214, 540, 19605, 11201, 267, 4986, 2731, 547, 798, 609, 12408, 263, 799, 12582, 1405, 2291, 6393, 280, 269, 4119, 476, 276, 267, 476, 1001, 274, 692, 2162, 30443, 4148, 584, 325, 692, 763, 10539, 1934, 568, 602, 910, 568, 20358, 539, 269, 2334, 568, 519, 1482, 3090, 568, 1031, 585, 1114, 5301, 563, 268, 273, 454, 332, 697, 1611, 454, 1492, 1297, 910, 273, 454, 1492, 19605, 11201, 540, 519, 1297, 476, 273, 454, 1492, 1587, 11196, 272, 264, 273, 454, 1492, 3017, 476, 271, 268, 273, 454, 1492, 2040, 476, 271, 266, 8987, 273, 994, 663, 865, 593, 454, 5472, 891, 1919, 1439, 909, 1373, 519, 1482, 563, 2005, 1131, 581, 811, 14845, 952, 1114, 6698, 941, 1031, 585, 1142, 2013, 780, 4692, 910, 343, 581, 9833, 607, 11196, 272, 32589, 888, 8133, 267, 538, 1249, 713, 666, 581, 1031, 547, 5581, 8691, 676, 9981, 538, 1022, 1895, 267, 855, 649, 2744, 4986, 607, 538, 602, 2796, 789, 1611, 519, 1482, 3364, 543, 910, 343, 568, 10156, 780, 8138, 339, 3555, 1058, 711, 2291, 286, 594, 1810, 1405, 917, 1018, 602, 1797, 269, 22682, 621, 568, 32118, 547, 723, 1840, 267, 12408, 267, 19605, 3961, 267, 543, 19605, 11201, 267, 855, 621, 568, 10375, 543, 20027, 269, 28871, 630, 553, 538, 1082, 8471, 7223, 2835, 264, 12408, 568, 3144, 607, 519, 32118, 6221, 269, 769, 1249, 649, 666, 1491, 782, 855, 12408, 607, 32118, 269, 1280, 1383, 454, 271, 281, 284, 322, 2275, 454, 1532, 281, 14352, 322, 2275, 9984, 321, 284, 271, 1532, 454, 320, 17070, 281, 284, 320, 268, 9230, 322, 2275, 9984, 321, 6661, 320, 268, 8987, 321, 994, 263, 281, 284, 1797, 568, 3989, 676, 2020, 2026, 2484, 607, 26732, 543, 5904, 711, 6236, 2338, 607, 9896, 267, 602, 568, 711, 3020, 269, 1403, 649, 723, 910, 273, 543, 649, 1685, 4009, 649, 1205, 476, 275, 269, 898, 568, 3020, 602, 1082, 26732, 543, 5904, 1152, 1450, 2942, 2338, 547, 581, 9411, 18549, 269, 589, 1906, 676, 12408, 910, 273, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7087, 3048, 2209, 538, 519, 2475, 543, 4516, 2679, 2390, 2757, 1702, 543, 2029, 547, 2743, 519, 1514, 267, 2825, 267, 543, 2804, 3853, 540, 741, 2950, 888, 763, 7087, 9082, 540, 519, 2136, 2276, 543, 4516, 2919, 10427, 6694, 2853, 267, 2757, 1072, 1949, 543, 18428, 267, 543, 7524, 11615, 543, 4066, 602, 6462, 519, 30436, 540, 741, 9082, 1279, 1354, 519, 12625, 540, 3864, 3935, 9088, 269, 901, 10373, 7087, 5763, 729, 711, 22297, 547, 1022, 835, 2146, 267, 855, 729, 3838, 2066, 519, 11782, 543, 3564, 998, 3573, 5121, 5009, 519, 5385, 540, 5370, 267, 1702, 267, 543, 2029, 269, 1452, 5121, 543, 2757, 1702, 1949, 6414, 2221, 267, 1519, 998, 519, 4797, 5385, 540, 7087, 5370, 543, 7326, 2066, 10665, 267, 543, 519, 3875, 2413, 28565, 543, 7841, 1811, 602, 12090, 607, 7087, 2951, 11507, 563, 7212, 519, 2136, 2276, 543, 4516, 723, 2189, 3656, 3347, 609, 519, 7087, 9082, 540, 3345, 3013, 267, 789, 723, 513, 3838, 1686, 540, 17091, 543, 2413, 15746, 602, 814, 3366, 547, 5571, 13103, 538, 1072, 267, 2069, 267, 1648, 267, 23948, 566, 267, 543, 2804, 4316, 269, 6736, 971, 1279, 29280, 10795, 2853, 267, 7087, 3048, 2209, 3136, 547, 10244, 2757, 1702, 543, 2029, 585, 519, 4324, 540, 741, 2950, 543, 938, 3838, 3618, 267, 6117, 3435, 547, 3895, 1648, 267, 1426, 267, 543, 1239, 16285, 267, 2916, 6043, 267, 7087, 4213, 267, 15520, 16135, 2069, 267, 543, 2318, 2168, 543, 2790, 1072, 4093, 269, 6787, 2324, 538, 741, 554, 2210, 12495, 610, 2066, 519, 4915, 1899, 267, 7087, 3048, 2209, 616, 2679, 2390, 519, 9371, 540, 27300, 2200, 267, 1702, 267, 543, 2029, 547, 2232, 2413, 2591, 609, 8978, 5072, 563, 1103, 6284, 540, 713, 32618, 1686, 267, 543, 1346, 945, 3136, 922, 9371, 267, 519, 476, 1708, 274, 7087, 18877, 26665, 23050, 568, 1930, 547, 782, 3048, 2209, 5885, 2146, 2861, 3435, 676, 543, 585, 7087, 2950, 2066, 519, 2136, 2276, 543, 4516, 269, 1677, 602, 1439, 267, 16534, 11394, 3435, 602, 912, 1805, 21880, 6533, 4264, 1648, 16285, 543, 1489, 2916, 6043, 7341, 676, 543, 585, 7087, 9082, 563, 28874, 519, 5137, 267, 2208, 267, 543, 1967, 540, 7087, 24804, 4213, 543, 3895, 2804, 4316, 538, 7087, 2950, 563, 7804, 633, 2318, 4093, 585, 7087, 6267, 540, 1022, 2085, 543, 2796, 998, 15520, 16135, 3872, 3255, 563, 23220, 1774, 15520, 5483, 2790, 543, 2168, 1072, 543, 9716, 2533, 585, 7087, 2146, 2818, 563, 24169, 7143, 3699, 3156, 5059, 593, 1004, 7087, 547, 9170, 1369, 519, 2136, 2276, 543, 4516, 267, 1519, 11182, 563, 22069, 1903, 798, 711, 991, 547, 581, 3444, 31215, 610, 3486, 538, 9165, 543, 666, 1445, 593, 1808, 7087, 2950, 538, 2901, 2197, 563, 19284, 519, 6820, 12694, 267, 519, 7087, 18877, 26665, 23050, 15109, 1523, 22533, 3435, 585, 1761, 5542, 607, 26665, 3298, 563, 763, 26665, 23050, 568, 1930, 547, 2319, 5012, 945, 616, 1875, 268, 29378, 267, 1498, 519, 3498, 1058, 1397, 513, 2312, 4276, 547, 543, 4444, 2987, 689, 519, 2146, 610, 2950, 269, 0, 7197, 2665, 540, 3346, 27150, 979, 2476, 593, 741, 1378, 2899, 519, 6219, 568, 1100, 3476, 538, 3346, 609, 519, 2960, 269, 3371, 616, 930, 4388, 596, 666, 2119, 693, 1753, 281, 3680, 31153, 707, 8886, 730, 2960, 269, 2480, 337, 10248, 666, 1118, 519, 16698, 8338, 610, 1256, 2014, 513, 2960, 3968, 602, 3340, 11216, 563, 1692, 1279, 1281, 621, 1491, 585, 27150, 547, 979, 2476, 888, 2414, 1521, 3346, 27150, 6707, 267, 596, 991, 547, 2697, 543, 2057, 519, 2014, 540, 707, 5114, 269, 1403, 596, 666, 2057, 519, 1055, 2056, 6219, 267, 519, 16420, 2356, 1579, 1513, 909, 538, 1079, 547, 2185, 4374, 269, 1411, 666, 2119, 25695, 707, 2960, 609, 3579, 267, 6632, 14771, 525, 267, 4550, 268, 3558, 1212, 4461, 543, 824, 1582, 13282, 3268, 563, 1432, 4523, 952, 596, 4734, 27150, 15860, 888, 2691, 2451, 15860, 267, 3346, 27150, 666, 1020, 883, 606, 32117, 4783, 540, 21422, 267, 31153, 543, 6553, 269, 769, 930, 2665, 267, 519, 7050, 31153, 666, 6338, 4551, 610, 17343, 883, 6106, 540, 519, 2960, 267, 4611, 538, 5563, 602, 666, 581, 3978, 538, 930, 1004, 563, 12663, 1250, 27150, 2479, 979, 2476, 888, 9989, 26253, 979, 2476, 286, 1703, 779, 1100, 1634, 10826, 585, 26253, 267, 543, 519, 30919, 4465, 1406, 3274, 979, 2476, 952, 2451, 15860, 269, 1280, 1034, 1004, 267, 26253, 568, 513, 5312, 2783, 602, 3340, 6297, 21084, 540, 12153, 547, 948, 2061, 27506, 13522, 563, 1432, 798, 27150, 1413, 899, 888, 303, 23635, 543, 27150, 1107, 2523, 694, 4011, 337, 515, 545, 27150, 1107, 666, 1413, 2147, 269, 5637, 1413, 899, 15649, 540, 2699, 2960, 609, 1166, 1389, 540, 2960, 593, 1283, 540, 543, 1472, 519, 25017, 269, 1717, 267, 538, 27728, 267, 519, 10253, 616, 1419, 23198, 543, 519, 8728, 540, 1346, 10253, 616, 1134, 20452, 563, 4692, 3346, 27150, 2063, 585, 3275, 888, 2252, 972, 568, 5312, 4598, 547, 513, 7646, 8886, 656, 971, 607, 1216, 610, 12853, 267, 519, 5114, 666, 2049, 936, 513, 1974, 540, 4374, 547, 3275, 543, 4125, 3819, 1145, 267, 21422, 267, 543, 25305, 1765, 10472, 568, 1419, 2938, 593, 519, 3946, 563, 3674, 27150, 513, 16507, 3968, 888, 14300, 540, 16507, 2960, 5563, 1331, 546, 807, 704, 16420, 267, 11528, 6596, 15633, 267, 6596, 531, 1612, 3415, 577, 807, 267, 543, 1560, 16420, 269, 8278, 22915, 630, 10193, 1572, 3235, 345, 14670, 748, 27150, 264, 568, 513, 1455, 2960, 2783, 602, 3123, 2960, 16698, 543, 6553, 563, 3674, 27150, 513, 9190, 3968, 888, 4263, 8084, 27150, 630, 4696, 264, 568, 519, 1034, 1455, 13027, 2960, 2068, 538, 519, 2489, 2551, 269, 898, 568, 513, 5312, 12982, 2960, 2068, 7294, 676, 20443, 9190, 543, 10194, 5563, 602, 267, 950, 2451, 15860, 267, 666, 1291, 547, 1713, 8374, 563, 4692, 27150, 581, 3262, 888, 291, 12938, 4345, 3884, 1406, 21380, 267, 855, 621, 666, 1118, 596, 1745, 13943, 543, 1582, 23655, 269, 7720, 626, 584, 1944, 5781, 2337, 1852, 519, 2589, 269, 9615, 949, 849, 1331, 3053, 730, 522, 842, 906, 267, 1212, 4461, 543, 31576, 30139, 563, 3674, 27150, 3361, 676, 2566, 888, 2304, 3806, 543, 2566, 616, 1455, 12153, 602, 2014, 26253, 547, 27506, 909, 267, 799, 1287, 5932, 811, 4160, 543, 2566, 267, 799, 1287, 5012, 547, 811, 26253, 27506, 13522, 563, 3963, 568, 1250, 3346, 27150, 10825, 888, 5472, 21544, 3346, 27150, 4749, 5526, 547, 3262, 936, 942, 269, 769, 1249, 267, 713, 4564, 16607, 6547, 547, 519, 23480, 269, 11153, 2188, 949, 3132, 519, 7301, 12705, 602, 519, 27150, 568, 10825, 610, 568, 21380, 269, 1261, 822, 1176, 13572, 2127, 949, 2736, 856, 1101, 267, 4553, 676, 2127, 540, 14758, 4598, 563, 1432, 779, 519, 3017, 1063, 26253, 543, 27150, 888, 291, 12938, 4345, 1797, 6553, 540, 519, 2960, 269, 8278, 22915, 568, 28332, 2960, 602, 814, 824, 2589, 899, 21422, 267, 513, 1166, 21294, 610, 1085, 3315, 16420, 267, 543, 3819, 2960, 563, 3674, 27150, 606, 3968, 888, 291, 12938, 4345, 568, 513, 2489, 2165, 585, 513, 22224, 2960, 16420, 602, 6227, 1082, 2175, 269, 1452, 1331, 693, 8084, 27150, 267, 610, 26253, 267, 543, 3346, 27150, 267, 606, 13027, 5114, 547, 606, 8886, 908, 6219, 269, 9521, 1591, 592, 4345, 267, 1034, 3029, 540, 27150, 616, 519, 1267, 540, 13027, 6547, 267, 711, 9190, 5563, 563, 3674, 27150, 606, 16991, 2068, 888, 2690, 519, 1101, 942, 267, 513, 2319, 3366, 676, 3173, 693, 519, 594, 322, 23167, 3427, 540, 6925, 693, 6778, 31291, 328, 814, 8810, 602, 693, 8084, 27150, 267, 849, 1634, 607, 26253, 267, 568, 606, 4761, 12454, 630, 2246, 334, 14545, 264, 2068, 693, 519, 7636, 1377, 563, 1692, 666, 594, 2061, 27150, 888, 2252, 596, 1745, 596, 616, 693, 1981, 585, 27150, 267, 2015, 891, 15324, 3268, 281, 2422, 513, 18519, 8595, 693, 1753, 543, 693, 960, 547, 1832, 519, 2011, 689, 3478, 1932, 3819, 269, 23203, 10690, 1922, 9231, 267, 2067, 1922, 9200, 7802, 282, 15860, 10412, 568, 4998, 269, 3680, 726, 730, 14446, 267, 2523, 538, 707, 10772, 267, 547, 2061, 19695, 5829, 30919, 269, 0, 3674, 670, 4785, 1272, 17116, 888, 3674, 670, 4785, 1272, 17116, 888, 295, 655, 32673, 23443, 6193, 6794, 630, 295, 4785, 264, 568, 513, 2783, 602, 666, 2049, 950, 519, 1507, 1973, 8043, 538, 707, 14401, 1831, 8697, 543, 28332, 269, 901, 3441, 666, 2014, 28163, 547, 1106, 538, 519, 8043, 269, 634, 28163, 24571, 519, 19003, 1062, 538, 519, 14401, 543, 1291, 547, 8459, 5821, 267, 799, 1223, 581, 1272, 18446, 563, 3674, 670, 4785, 524, 9092, 888, 1432, 1281, 2126, 585, 670, 4785, 4122, 4125, 286, 3143, 1634, 2126, 666, 3247, 519, 3356, 540, 519, 6794, 2899, 621, 814, 3323, 269, 898, 568, 1271, 585, 707, 4387, 547, 2995, 519, 3017, 1063, 713, 2068, 543, 513, 2147, 2783, 1572, 24405, 5328, 24405, 7514, 9008, 21329, 1625, 335, 3120, 267, 799, 1281, 723, 513, 1808, 2126, 563, 9989, 670, 4785, 2014, 2669, 888, 7197, 1004, 945, 616, 8995, 609, 670, 4785, 1118, 513, 2407, 6051, 269, 1809, 621, 779, 513, 3978, 4576, 269, 1403, 596, 610, 707, 1126, 723, 1713, 3441, 547, 707, 14401, 267, 596, 949, 991, 2834, 13816, 16272, 610, 31533, 269, 19382, 15860, 267, 670, 4785, 666, 2014, 2669, 563, 1432, 568, 519, 2126, 585, 670, 4785, 888, 295, 4785, 568, 3622, 5701, 609, 2564, 1416, 538, 519, 6413, 269, 29079, 4320, 2359, 568, 2629, 543, 949, 1331, 281, 32326, 630, 4353, 264, 12862, 269, 9422, 21455, 676, 10001, 610, 8546, 8023, 563, 1692, 666, 670, 4785, 581, 15286, 888, 7093, 28124, 1744, 27004, 25560, 26148, 661, 269, 19546, 630, 4306, 4488, 264, 543, 12920, 32673, 772, 516, 6193, 15540, 630, 295, 4785, 994, 268, 25169, 707, 3946, 563, 268, 13648, 543, 4196, 707, 1426, 693, 519, 3617, 5210, 563, 268, 5901, 707, 1426, 7041, 2127, 2973, 563, 268, 3680, 10002, 4292, 28962, 16098, 563, 268, 31160, 23735, 7007, 554, 3711, 584, 3455, 563, 268, 2142, 6297, 950, 7231, 609, 2831, 563, 1692, 798, 789, 13209, 670, 4785, 888, 2414, 6166, 513, 5868, 540, 670, 4785, 2073, 707, 4387, 568, 2693, 547, 1685, 513, 2168, 981, 543, 4363, 2978, 4255, 267, 1519, 281, 10552, 4255, 269, 1452, 4255, 666, 3313, 952, 707, 2699, 1973, 2281, 616, 8697, 563, 9989, 670, 4785, 723, 14715, 2589, 888, 10468, 9951, 545, 19183, 2333, 9019, 585, 670, 4785, 2550, 269, 476, 1015, 1452, 723, 1044, 4330, 538, 519, 12963, 2551, 607, 27327, 538, 9637, 630, 5952, 15992, 17465, 630, 10170, 15992, 13470, 10537, 6794, 630, 7367, 15992, 543, 970, 2805, 1090, 10537, 6794, 609, 5409, 2023, 807, 630, 5655, 260, 1916, 3963, 798, 670, 4785, 711, 1491, 11216, 888, 12234, 267, 15084, 14001, 5945, 547, 519, 9190, 9245, 7957, 832, 519, 8650, 5305, 540, 1804, 5666, 540, 13802, 269, 2422, 540, 11216, 814, 1044, 3254, 547, 2333, 519, 1981, 540, 2407, 1532, 31500, 670, 4785, 676, 476, 1704, 24670, 267, 543, 3976, 267, 519, 16252, 568, 547, 2057, 922, 946, 267, 4849, 538, 2665, 540, 25687, 563, 4692, 13044, 2014, 670, 4785, 888, 2005, 814, 1044, 4080, 538, 519, 2250, 602, 570, 7246, 270, 520, 2988, 673, 670, 4785, 666, 26739, 538, 519, 4259, 540, 10194, 10108, 899, 14798, 269, 2368, 4589, 723, 6700, 4946, 5046, 268, 866, 607, 513, 24254, 3815, 585, 513, 295, 4785, 26739, 269, 0, 30108, 13555, 6176, 912, 287, 12839, 308, 2752, 5938, 600, 593, 12108, 454, 7072, 547, 3203, 454, 1240, 3018, 1576, 454, 9209, 476, 272, 630, 7072, 547, 3203, 264, 568, 2966, 547, 4001, 1053, 875, 547, 9691, 5659, 1018, 789, 1294, 267, 3450, 3140, 4282, 543, 827, 519, 2470, 540, 2326, 1031, 547, 1711, 1148, 269, 2353, 2875, 786, 4309, 4598, 547, 1148, 1686, 269, 2353, 1053, 786, 581, 6534, 547, 513, 3099, 540, 2923, 543, 1641, 2339, 563, 12218, 12143, 281, 25826, 1148, 5322, 543, 946, 1344, 547, 1711, 3312, 960, 563, 16215, 476, 272, 281, 14301, 5525, 630, 303, 523, 4290, 1299, 4077, 19254, 994, 16215, 476, 273, 281, 5623, 15689, 1299, 14362, 540, 3203, 630, 20082, 3600, 23359, 27006, 994, 16215, 476, 274, 281, 7179, 10435, 630, 31690, 1961, 636, 12338, 994, 16215, 476, 275, 281, 3600, 23359, 27006, 454, 16215, 476, 276, 281, 7435, 29740, 595, 10984, 923, 454, 5472, 1053, 616, 28439, 676, 16180, 519, 7355, 540, 519, 7084 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 290, 2734, 622, 4317, 26930, 538, 606, 9257, 781, 15613, 910, 7433, 12726, 269, 630, 1708, 274, 267, 8734, 476, 6021, 1040, 8158, 689, 4179, 2517, 14588, 539, 2988, 1653, 2593, 270, 612, 904, 11305, 2734, 622, 1606, 3469, 268, 22529, 2225, 2987, 12845, 268, 6716, 3074, 268, 1598, 1538, 344, 1790, 1653, 1606, 2217, 454, 2252, 596, 616, 519, 3312, 2278, 540, 713, 1557, 543, 1100, 3476, 6999, 547, 723, 621, 3370, 593, 519, 4325, 9037, 26261, 3896, 267, 5225, 4945, 2630, 547, 7662, 922, 8851, 912, 268, 5131, 4828, 7151, 593, 16844, 543, 20212, 454, 268, 4828, 12726, 667, 539, 5344, 547, 674, 18017, 17235, 593, 9365, 281, 13751, 543, 19078, 12983, 454, 268, 5131, 4828, 281, 4208, 1684, 2368, 5019, 3949, 3816, 664, 13458, 995, 2755, 11524, 28161, 15329, 550, 888, 268, 4828, 12726, 593, 1215, 5769, 2422, 21478, 4658, 781, 22032, 267, 4518, 267, 543, 5530, 454, 268, 5131, 4828, 281, 853, 2774, 25511, 16572, 543, 7136, 1744, 2393, 902, 454, 268, 5081, 1670, 7690, 910, 5131, 4828, 454, 268, 7433, 7151, 593, 4317, 4518, 0, 291, 5519, 560, 4328, 27387, 4032, 281, 1548, 898, 26419, 31283, 543, 1215, 898, 3281, 4100, 547, 4033, 28577, 338, 4985, 1879, 621, 2501, 547, 7446, 519, 3501, 28945, 267, 10412, 814, 1279, 1044, 513, 2442, 3903, 585, 922, 4313, 267, 7362, 1464, 267, 543, 15006, 269, 1809, 538, 519, 1158, 540, 10412, 9212, 267, 972, 781, 513, 2165, 602, 1419, 4991, 16207, 1472, 607, 513, 2268, 540, 2298, 281, 8142, 1293, 269, 3509, 6800, 3494, 602, 513, 2362, 8142, 1293, 8850, 18922, 547, 1732, 2298, 9212, 269, 1717, 267, 713, 1455, 3661, 568, 513, 31605, 602, 2115, 547, 581, 3181, 6064, 539, 269, 769, 713, 3102, 3391, 267, 649, 3513, 5490, 2620, 883, 519, 1158, 540, 8142, 1293, 267, 19586, 922, 3020, 4644, 267, 543, 5635, 10412, 609, 824, 17234, 547, 948, 596, 1118, 5483, 5079, 585, 513, 6899, 3781, 781, 3207, 269, 4197, 27387, 4032, 1548, 568, 27387, 4032, 286, 27387, 1293, 4016, 547, 519, 1297, 540, 16060, 18955, 883, 835, 4009, 10759, 540, 5958, 269, 898, 568, 4122, 6719, 607, 513, 1079, 5991, 3784, 4137, 267, 971, 607, 476, 4968, 570, 290, 630, 628, 1348, 1293, 264, 610, 476, 1911, 271, 570, 290, 269, 2290, 1522, 8263, 602, 513, 2362, 8142, 1293, 2141, 6920, 9120, 2298, 267, 855, 602, 781, 711, 519, 2898, 1650, 269, 27387, 4032, 16700, 935, 4003, 634, 31605, 4478, 8142, 1293, 568, 602, 513, 2362, 1297, 1797, 1732, 2298, 9212, 269, 2755, 8142, 1293, 1281, 2339, 547, 513, 1978, 6708, 267, 621, 781, 1175, 835, 3815, 1851, 1082, 602, 3313, 519, 2298, 540, 707, 28945, 269, 13583, 20445, 723, 1044, 1634, 547, 4870, 622, 8142, 12523, 676, 1210, 25182, 267, 2539, 7779, 16060, 547, 1711, 513, 2362, 1297, 269, 901, 8671, 545, 666, 1118, 9212, 1745, 23704, 267, 855, 621, 3085, 1405, 8209, 1226, 622, 547, 1732, 15006, 610, 4313, 269, 29158, 5288, 269, 4033, 28577, 338, 1677, 1174, 519, 4644, 540, 8142, 1293, 1732, 267, 1577, 781, 5635, 10412, 609, 824, 2442, 17234, 1031, 538, 28945, 269, 476, 272, 269, 29158, 29158, 568, 513, 2067, 6775, 19122, 689, 519, 10412, 2030, 781, 2770, 27918, 10240, 3149, 269, 898, 781, 12021, 585, 922, 7362, 1464, 267, 2571, 1145, 267, 543, 7509, 2914, 10107, 3601, 269, 1879, 621, 2501, 547, 8142, 1293, 267, 10412, 9212, 2356, 2039, 689, 476, 1220, 547, 476, 1911, 271, 570, 290, 269, 1717, 267, 519, 4998, 8142, 1293, 585, 10412, 9212, 5673, 593, 2123, 13283, 543, 519, 10412, 781, 2298, 269, 12266, 29158, 281, 10705, 2808, 519, 4154, 3044, 538, 10412, 28945, 267, 12266, 10412, 19646, 1279, 11103, 602, 1267, 538, 2571, 267, 14463, 9212, 269, 589, 2539, 8142, 1293, 267, 1472, 476, 4968, 268, 6110, 570, 290, 267, 568, 1419, 9053, 585, 519, 1655, 3666, 540, 4313, 543, 15006, 269, 623, 9874, 29158, 281, 5381, 547, 12266, 10412, 267, 623, 9874, 10412, 3091, 5140, 2298, 269, 25420, 609, 513, 8142, 1293, 540, 476, 6110, 268, 7785, 570, 290, 616, 4998, 585, 4313, 543, 15325, 269, 476, 273, 269, 6931, 523, 6931, 523, 568, 1500, 689, 519, 11103, 540, 519, 30485, 2030, 543, 814, 1044, 1031, 585, 5553, 269, 898, 781, 1634, 585, 922, 7362, 1464, 267, 2067, 9403, 267, 543, 2702, 547, 1832, 596, 3579, 538, 3636, 4365, 269, 9521, 10412, 267, 32028, 3085, 1405, 7048, 8185, 593, 8142, 1293, 269, 6931, 523, 9212, 3335, 723, 513, 2539, 8142, 1293, 540, 476, 3199, 268, 5611, 269, 634, 2539, 1293, 3085, 1405, 17538, 2539, 2298, 282, 2864, 267, 621, 9356, 519, 11098, 543, 2067, 9403, 540, 519, 11103, 269, 476, 274, 269, 28010, 28010, 568, 513, 29413, 2067, 3940, 6775, 3812, 676, 16536, 19095, 269, 28010, 9212, 616, 17028, 7458, 585, 741, 2571, 1145, 543, 2837, 15696, 6819, 3601, 269, 27387, 1293, 538, 16536, 9212, 568, 3335, 711, 513, 7986, 7156, 269, 5502, 267, 519, 1445, 568, 593, 519, 2298, 540, 16536, 16060, 267, 6027, 538, 3158, 1889, 630, 7825, 264, 2597, 269, 4400, 7779, 16536, 9212, 616, 1419, 1472, 476, 866, 268, 1839, 6515, 267, 4180, 513, 29413, 1745, 269, 476, 275, 269, 5843, 325, 9200, 5843, 325, 9200, 568, 513, 10991, 5958, 1500, 689, 29656, 18955, 4874, 6856, 11103, 269, 898, 781, 1634, 585, 922, 26622, 543, 4187, 547, 32060, 269, 5843, 325, 9200, 9212, 666, 723, 8142, 12523, 8151, 689, 476, 5197, 570, 290, 547, 476, 1220, 271, 570, 290, 269, 1717, 267, 607, 609, 824, 10991, 17234, 267, 513, 2362, 8142, 1293, 1281, 711, 8209, 1611, 1732, 2298, 269, 898, 781, 1898, 547, 2015, 519, 2949, 2298, 540, 519, 29370, 9200, 950, 8939, 9212, 269, 1548, 26419, 25198, 538, 16170, 3429, 3767, 602, 649, 4312, 3379, 10412, 609, 824, 17234, 1577, 781, 6521, 938, 1445, 547, 1018, 5963, 6927, 950, 8939, 28945, 269, 476, 272, 269, 27438, 10866, 634, 1826, 543, 2298, 540, 519, 11103, 1031, 538, 707, 9212, 1404, 513, 1713, 1909, 538, 741, 2949, 1745, 543, 15006, 269, 7043, 3613, 18393, 10412, 267, 971, 607, 12266, 543, 623, 9874, 10412, 267, 11148, 547, 3132, 29779, 543, 811, 14463, 9212, 269, 1280, 824, 17234, 267, 899, 32028, 543, 16536, 267, 519, 2707, 543, 4393, 540, 519, 11103, 2339, 269, 476, 273, 269, 1284, 1511, 7392, 634, 15827, 540, 707, 9212, 5540, 741, 9403, 267, 7362, 1464, 267, 543, 15006, 269, 5871, 15827, 2010, 1331, 829, 7051, 267, 521, 622, 523, 267, 543, 1000, 650, 269, 623, 2075, 1446, 568, 1634, 585, 922, 26546, 267, 3579, 1745, 267, 1247, 521, 622, 523, 3091, 513, 23704, 267, 16536, 1512, 2627, 269, 3828, 650, 649, 2314, 1683, 513, 2571, 1951, 701, 609, 513, 11029, 1352, 523, 269, 476, 274, 269, 5685, 880, 634, 9096, 540, 707, 9212, 666, 1860, 741, 9403, 543, 15325, 269, 5871, 26088, 1331, 5789, 1356, 1436, 267, 799, 10597, 10412, 781, 561, 13831, 543, 4222, 267, 543, 11747, 11067, 267, 799, 2571, 839, 519, 5958, 269, 476, 275, 269, 9608, 2776, 12401, 11086, 267, 519, 1655, 28945, 585, 596, 2501, 1524, 547, 2123, 13283, 269, 2368, 1004, 4782, 519, 26546, 1145, 540, 829, 7051, 9212, 267, 1247, 1866, 2648, 519, 3623, 5652, 1745, 540, 521, 622, 523, 269, 898, 781, 1898, 547, 2015, 707, 4313, 543, 3207, 7375, 950, 7446, 28945, 269, 634, 10020, 540, 27387, 4032, 27387, 1293, 267, 1247, 711, 519, 6852, 24572, 540, 6656, 2298, 267, 1869, 4249, 513, 1909, 538, 519, 2949, 1745, 540, 707, 28945, 269, 3371, 781, 875, 621, 2188, 538, 281, 1290, 3228, 281, 589, 9793, 8142, 1293, 538, 519, 2039, 540, 476, 4968, 268, 7785, 1419, 16716, 519, 1318, 3666, 1063, 2571, 1145, 543, 15006, 585, 1034, 1004, 269, 4400, 8142, 12523, 267, 971, 607, 476, 1911, 271, 570, 290, 610, 811, 267, 666, 1745, 22350, 5347, 543, 949, 581, 1447, 7362, 762, 269, 667, 13701, 281, 589, 2362, 8142, 1293, 666, 3565, 547, 1732, 15006, 267, 855, 621, 1058, 581, 13745, 609, 1164, 7779, 11103, 543, 513, 15826, 15827, 269, 7956, 675, 281, 27387, 1293, 666, 3310, 519, 9403, 540, 707, 9212, 269, 14451, 12523, 1419, 1745, 23704, 267, 1247, 2539, 12523, 666, 723, 513, 5594, 26546, 9403, 269, 1215, 547, 7994, 519, 9406, 25420, 3767, 602, 649, 4312, 8268, 519, 2956, 540, 8142, 1293, 543, 922, 1909, 538, 28945, 267, 1934, 616, 930, 4388, 547, 948, 596, 2824, 519, 3501, 9212, 281, 476, 272, 269, 6333, 519, 27438, 281, 14419, 519, 1826, 540, 6775, 602, 17015, 707, 7375, 267, 2436, 621, 781, 10412, 267, 32028, 267, 16536, 267, 610, 29370, 9200, 269, 476, 273, 269, 8178, 27438, 10866, 281, 6733, 585, 9212, 1500, 689, 1164, 7779, 11103, 269, 1280, 10412, 267, 1279, 3613, 18393, 8677, 899, 12266, 610, 623, 9874, 616, 30074, 269, 476, 274, 269, 1284, 1511, 25198, 281, 7994, 513, 15827, 602, 20383, 609, 707, 9403, 543, 4313, 7375, 269, 623, 2075, 1446, 267, 521, 622, 523, 267, 543, 1000, 650, 616, 1455, 3681, 269, 476, 275, 269, 27387, 4032, 13832, 281, 13667, 585, 513, 9793, 8142, 1293, 538, 519, 2039, 540, 476, 4968, 268, 7785, 585, 1034, 10412, 9212, 269, 1280, 32028, 267, 16536, 267, 610, 29370, 9200, 267, 1445, 593, 824, 2188, 899, 6775, 2298, 543, 15827, 269, 476, 276, 269, 3367, 17352, 281, 5213, 1405, 19292, 547, 1224, 6075, 8039, 543, 3343, 7840, 547, 1205, 1483, 8996, 4030, 883, 519, 1745, 543, 15006, 540, 519, 9212, 596, 2811, 6236, 269, 476, 277, 269, 26875, 1125, 9608, 1290, 3228, 281, 2659, 2123, 4313, 1058, 581, 519, 10700, 14045, 3815, 269, 1403, 596, 723, 519, 4960, 267, 5905, 543, 1745, 519, 9212, 1354, 11449, 269, 10390, 769, 519, 1158, 540, 28945, 267, 8142, 1293, 568, 513, 2165, 602, 1419, 5012, 547, 20887, 269, 2755, 621, 781, 606, 1898, 3815, 267, 621, 3085, 1405, 2995, 519, 2898, 1650, 540, 6656, 2298, 269, 4197, 519, 1826, 540, 6775, 267, 6775, 2298, 267, 15827, 267, 543, 2123, 7375, 616, 8449, 1271, 3344, 950, 7446, 519, 3501, 9212, 585, 707, 4313, 543, 3207, 2115, 269, 6787, 596, 1904, 585, 10412, 267, 32028, 267, 16536, 267, 610, 29370, 9200, 267, 4225, 2298, 936, 8142, 1293, 543, 2972, 513, 1964, 995, 3781, 781, 3207, 538, 707, 4998, 28945, 269, 0, 763, 5836, 568, 2407, 540, 7068, 269, 670, 2794, 3724, 16385, 267, 610, 322, 553, 267, 13626, 532, 4262, 21495, 267, 22488, 23522, 267, 543, 8049, 20910, 5858, 14600, 6352, 2255, 6816, 267, 4758, 11733, 547, 519, 1554, 585, 7460, 5244, 779, 13538, 269, 4014, 789, 11571, 519, 1216, 538, 3406, 540, 23563, 267, 9514, 32440, 267, 543, 16996, 267, 789, 616, 1934, 585, 519, 5017, 563, 1607, 1507, 6532, 538, 519, 5899, 987, 935, 320, 3148, 568, 1369, 519, 8513, 540, 519, 11076, 6428, 880, 543, 32765, 752, 342, 752, 16745, 17554, 481, 752, 342, 9082, 543, 568, 513, 28326, 13607, 585, 5017, 267, 16475, 519, 4102, 26026, 2273, 12733, 538, 519, 7187, 26463, 540, 11908, 269, 23897, 1343, 540, 1350, 14072, 748, 26310, 539, 575, 1638, 338, 1289, 519, 6532, 1753, 267, 607, 1134, 607, 10652, 20723, 543, 5595, 29931, 23264, 524, 768, 528, 1218, 267, 25190, 517, 1368, 4068, 332, 1824, 267, 3109, 522, 22438, 2075, 520, 7129, 267, 543, 1082, 1866, 269, 634, 6532, 568, 6140, 1666, 5306, 545, 4224, 267, 8108, 1079, 7986, 15113, 602, 1118, 1390, 21224, 12406, 267, 7132, 519, 1216, 12506, 585, 32132, 5017, 563, 300, 527, 6352, 2255, 729, 543, 5170, 547, 581, 1031, 676, 7087, 9082, 585, 25061, 543, 11018, 267, 1519, 4212, 10655, 267, 4342, 553, 16276, 267, 543, 10068, 269, 769, 476, 3422, 272, 621, 729, 11280, 607, 513, 28393, 1017, 7186, 5244, 269, 634, 6532, 1631, 14747, 519, 14600, 6352, 2255, 6816, 19731, 13734, 12243, 267, 4171, 5726, 626, 13538, 1491, 7140, 12403, 8973, 593, 513, 12353, 10047, 563, 9213, 267, 1250, 9393, 543, 594, 1765, 30138, 6569, 689, 938, 3232, 6296, 540, 5904, 543, 1591, 10746, 1765, 22772, 938, 11733, 269, 898, 779, 938, 3791, 1554, 593, 14600, 6352, 2255, 6816, 543, 649, 4076, 2907, 19481, 606, 610, 8619, 1247, 10004, 1154, 609, 513, 6292, 540, 2038, 6288, 8436, 1282, 938, 14254, 269, 1306, 28551, 8436, 547, 14600, 6352, 2255, 568, 835, 540, 938, 1883, 6009, 267, 649, 3802, 519, 18162, 267, 2638, 519, 17822, 267, 543, 11179, 2743, 10935, 619, 269, 1284, 1616, 547, 1118, 2386, 3025, 7959, 10950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7888, 3059, 2833, 269, 1520, 17518, 547, 891, 28975, 786, 711, 1152, 14183, 3656, 4170, 855, 849, 6536, 606, 1604, 1141, 3025, 7959, 12595, 543, 6462, 563, 763, 2622, 22453, 5680, 3117, 24832, 630, 310, 274, 290, 264, 814, 13890, 2185, 1883, 3741, 602, 1058, 20690, 782, 3015, 6272, 281, 6544, 22133, 267, 1766, 762, 267, 24669, 267, 543, 7347, 630, 303, 21788, 1916, 2414, 581, 6544, 22133, 267, 1344, 1590, 581, 4843, 538, 513, 1259, 602, 3755, 666, 20559, 7488, 540, 741, 5759, 282, 713, 2882, 6236, 3344, 899, 2681, 4334, 267, 13944, 2450, 267, 543, 1875, 17856, 8925, 971, 607, 5621, 2389, 4711, 585, 2592, 563, 23330, 1464, 5849, 602, 3755, 609, 8795, 2168, 7207, 610, 4217, 633, 4066, 666, 6330, 3927, 998, 1543, 676, 1519, 13691, 10342, 610, 3246, 2312, 5528, 593, 875, 547, 946, 2688, 8060, 563, 308, 2955, 1464, 25701, 547, 519, 9355, 540, 1312, 1893, 1031, 543, 2497, 540, 1543, 865, 602, 3755, 666, 1184, 621, 1510, 10539, 563, 15563, 267, 7347, 1145, 4016, 547, 17356, 609, 1699, 543, 2104, 3593, 2645, 543, 4066, 563, 3528, 20170, 547, 519, 623, 21788, 3741, 950, 8888, 3059, 2472, 610, 2533, 267, 9858, 6542, 6568, 2509, 741, 3309, 5304, 1247, 21924, 32636, 585, 782, 269, 9861, 13533, 540, 891, 9270, 2337, 1711, 3015, 5867, 799, 8597, 711, 1175, 547, 1004, 609, 9124, 855, 849, 1346, 7680, 10151, 23043, 610, 32638, 7687, 269, 901, 14820, 20383, 9985, 609, 7674, 1866, 685, 2115, 2868, 12264, 1247, 18413, 513, 2178, 5748, 585, 3695, 1808, 14871, 15232, 630, 308, 311, 264, 4808, 2417, 563, 27165, 15232, 630, 308, 343, 264, 13832, 454, 27165, 15232, 630, 308, 311, 264, 13832, 1404, 513, 2629, 1909, 538, 8888, 3015, 2472, 543, 2533, 269, 1452, 4808, 2327, 602, 519, 2115, 540, 2043, 609, 9124, 616, 3144, 883, 7156, 1282, 519, 1374, 1184, 267, 4611, 538, 606, 8537, 1995, 585, 782, 3755, 563, 3528, 20170, 547, 772, 311, 3741, 971, 607, 32636, 267, 11007, 267, 543, 8112, 267, 9858, 666, 1711, 17103, 602, 711, 1152, 2743, 10333, 4170, 855, 849, 8597, 547, 3309, 3593, 7375, 563, 288, 1883, 2460, 540, 7598, 772, 311, 13832, 568, 1620, 519, 1114, 2010, 540, 9124, 543, 875, 789, 949, 1860, 513, 1268, 779, 5872, 609, 3059, 1543, 269, 901, 2882, 3308, 23043, 971, 607, 21901, 610, 1970, 5075, 267, 6217, 23043, 899, 18555, 1145, 610, 2182, 6361, 13463, 2130, 267, 5179, 7687, 1519, 26900, 610, 12152, 832, 267, 543, 5042, 9124, 971, 607, 27577, 610, 3007, 17211, 4524, 563, 17637, 619, 1058, 2141, 11441, 547, 13918, 891, 9867, 2115, 676, 3246, 2789, 2081, 585, 3755, 547, 1569, 1344, 543, 2170, 609, 2934, 563, 5194, 1898, 2259, 950, 8888, 585, 10333, 568, 4180, 602, 519, 8818, 3788, 22150, 2429, 519, 3593, 3460, 269, 3117, 11962, 11768, 3270, 1450, 3755, 547, 1628, 2790, 3631, 540, 519, 1062, 3362, 267, 13302, 5042, 4452, 543, 10893, 1761, 10539, 563, 12234, 267, 6220, 5955, 6127, 883, 4205, 6087, 3755, 547, 15378, 741, 3356, 3927, 1247, 10188, 998, 1585, 2609, 1369, 513, 1587, 610, 3028, 5356, 563, 4415, 891, 2565, 9270, 538, 2247, 267, 9858, 666, 6707, 6536, 606, 8537, 1604, 1141, 3025, 7959, 23518, 543, 6462, 538, 8236, 741, 3853, 563, 2026, 649, 5490, 4514, 883, 1808, 3344, 540, 10333, 1374, 3741, 267, 621, 3587, 5051, 10423, 602, 13691, 12445, 4249, 513, 4105, 1909, 538, 2870, 606, 8537, 3593, 1995, 563, 17637, 532, 1280, 6206, 4580, 32522, 454, 32382, 519, 3059, 1158, 1510, 513, 10856, 568, 28330, 547, 10188, 606, 5836, 1510, 513, 22315, 282, 621, 666, 581, 2352, 543, 771, 528, 1304, 532, 563, 17637, 532, 585, 13691, 12445, 568, 1898, 538, 2870, 3015, 17103, 267, 607, 621, 5849, 602, 2043, 609, 5179, 23043, 610, 1346, 945, 3274, 4782, 1210, 1883, 15236, 723, 3160, 1569, 547, 782, 3344, 540, 513, 3896, 610, 3498, 563, 763, 1739, 3296, 786, 1865, 1585, 2994, 543, 7840, 547, 3986, 13691, 10333, 563, 20058, 267, 1445, 593, 3246, 9266, 9184, 1931, 676, 4180, 602, 2609, 616, 6896, 18615, 569, 2687, 547, 741, 2956, 543, 10083, 538, 519, 8818, 269, 901, 6087, 3755, 547, 6330, 24672, 998, 1543, 1210, 1152, 519, 2048, 307, 629, 685, 1883, 267, 14874, 11991, 17140, 543, 10539, 269, 3958, 267, 5693, 10834, 799, 3693, 4867, 6585, 1445, 2636, 3755, 547, 2226, 4656, 540, 741, 2990, 1369, 519, 8818, 267, 2417, 5355, 32636, 563, 30772, 267, 6451, 31930, 543, 3905, 12399, 16382, 3617, 1247, 8888, 585, 13691, 12445, 269, 1452, 2934, 7520, 18334, 4205, 585, 4359, 3755, 945, 949, 7048, 9003, 593, 1883, 15236, 585, 3403, 5301, 269, 1635, 6236, 891, 3741, 1282, 1646, 267, 9858, 6542, 6568, 4724, 3309, 3593, 2115, 543, 3565, 9797, 2509, 2949, 10333, 4441, 563, 9558, 819, 532, 689, 713, 1888, 883, 2681, 4334, 9270, 5170, 938, 3460, 998, 3384, 811, 8537, 6272, 563, 17730, 7822, 25037, 454, 17730, 2681, 4334, 568, 513, 2565, 2460, 540, 4180, 602, 519, 1543, 543, 8818, 2609, 616, 3362, 6544, 22133, 676, 782, 3755, 267, 7488, 540, 3308, 23043, 610, 32638, 7687, 269, 29615, 12930, 2681, 4334, 711, 1152, 2640, 1346, 609, 1970, 5075, 855, 849, 10597, 31824, 585, 2043, 1210, 3457, 538, 8795, 8654, 2175, 563, 3528, 735, 2391, 609, 3964, 4808, 971, 607, 519, 5680, 12474, 29456, 13832, 630, 310, 7563, 294, 264, 476, 273, 11859, 267, 9858, 666, 2327, 602, 741, 13144, 8597, 547, 513, 9962, 2039, 540, 9458, 269, 634, 654, 7563, 294, 476, 273, 11859, 2488, 1808, 7840, 585, 8236, 3617, 2157, 540, 2681, 4334, 1063, 1257, 543, 4282, 4778, 563, 2690, 3339, 13355, 1257, 267, 5426, 21191, 10220, 3340, 513, 5934, 4334, 5223, 540, 476, 275, 269, 276, 281, 272, 267, 1247, 3677, 1257, 2115, 693, 2547, 513, 476, 274, 281, 272, 5223, 269, 5071, 619, 1058, 2015, 9001, 2645, 899, 11422, 24909, 610, 2228, 2533, 547, 2708, 543, 11126, 519, 2681, 24716, 1369, 741, 6272, 8308, 563, 28885, 8537, 1374, 3741, 4422, 3564, 3274, 20170, 547, 2930, 4441, 282, 621, 9356, 606, 28450, 1935, 2509, 5466, 3309, 3593, 2115, 269, 23496, 7850, 2681, 4334, 23933, 513, 2178, 5748, 585, 2679, 24080, 3015, 3059, 2833, 563, 4415, 713, 1898, 5057, 16119, 538, 1747, 267, 1577, 721, 1631, 2263, 1776, 4105, 3693, 1107, 6220, 5621, 1257, 11673, 585, 2592, 2429, 938, 6272, 563, 8794, 16816, 7956, 1280, 16103, 454, 28885, 5621, 1257, 585, 2592, 568, 899, 4758, 513, 5639, 547, 519, 14980, 3308, 2609, 593, 513, 2546, 269, 901, 2636, 3755, 609, 5496, 3988, 610, 824, 4217, 633, 4066, 547, 1569, 543, 1174, 519, 1543, 24829, 676, 519, 3239, 563, 3528, 3246, 13801, 267, 6209, 11673, 540, 11251, 23877, 267, 9858, 666, 2327, 602, 741, 13144, 616, 711, 1152, 11617, 13267, 855, 849, 3015, 547, 782, 3755, 563, 2704, 339, 1257, 1058, 581, 5402, 18705, 865, 607, 711, 547, 8267, 332, 519, 3593, 609, 11991, 1344, 1247, 1869, 23187, 519, 1898, 5048, 3297, 606, 3239, 269, 1677, 3035, 713, 3666, 267, 835, 1590, 2015, 1312, 519, 2796, 538, 799, 519, 3239, 5526, 543, 922, 10083, 1369, 602, 2796, 563, 12234, 267, 950, 1603, 5621, 1257, 267, 621, 568, 2629, 547, 2057, 1210, 22350, 2930, 3822, 610, 32118, 2453, 971, 607, 2048, 13548, 540, 685, 610, 2048, 335, 27348, 540, 16224, 607, 891, 798, 711, 3565, 25006, 547, 519, 6609, 563, 2026, 9858, 3136, 6220, 10333, 1655, 2853, 883, 741, 960, 267, 789, 786, 1265, 602, 7598, 15826, 5621, 1257, 5713, 711, 1152, 1346, 945, 7048, 593, 4217, 633, 4066, 855, 849, 2640, 3406, 2599, 11938, 3646, 269, 2060, 1134, 27787, 4244, 1257, 538, 1747, 267, 1357, 335, 1137, 1831, 811, 8537, 5624, 1141, 3025, 814, 3160, 4316, 547, 4497, 609, 3059, 1543, 563, 763, 1985, 1888, 693, 1688, 12538, 4514, 883, 13167, 3015, 2854, 2326, 281, 5675, 585, 29456, 563, 16240, 1280, 29456, 454, 16240, 585, 10333, 568, 513, 2629, 2460, 540, 8888, 8537, 3059, 2833, 269, 898, 3322, 2870, 1543, 602, 666, 581, 3362, 6956, 543, 4044, 730, 676, 2043, 609, 3309, 5759, 267, 1519, 1346, 945, 723, 3308, 267, 17391, 267, 5042, 267, 610, 5179, 23043, 269, 1635, 20170, 547, 1655, 2853, 538, 1603, 585, 10333, 267, 9858, 711, 1152, 2327, 10220, 609, 3964, 4808, 855, 849, 3565, 9797, 547, 519, 3593, 1995, 540, 782, 3755, 563, 3080, 1898, 6240, 538, 13167, 3015, 1257, 568, 4180, 31824, 998, 13801, 1893, 543, 2312, 2497, 269, 901, 14122, 1210, 2241, 5220, 267, 9319, 3822, 610, 18986, 1682, 602, 949, 6961, 14845, 585, 930, 3988, 267, 14139, 26333, 543, 1016, 3650, 902, 547, 2736, 909, 1279, 6810, 540, 1257, 267, 543, 3246, 10855, 10297, 585, 6402, 543, 16181, 563, 13010, 267, 12561, 606, 3742, 5639, 3079, 540, 12809, 25481, 10597, 9355, 267, 1247, 9001, 4439, 548, 1540, 8638, 11226, 8223, 676, 8840, 1524, 1950, 1344, 883, 7558, 1043, 25098, 563, 5194, 1271, 7156, 950, 1603, 3015, 1543, 25701, 547, 519, 946, 540, 19180, 2609, 971, 607, 2592, 267, 7044, 267, 610, 8301, 6119, 269, 21278, 4244, 11673, 3842, 5621, 17856, 610, 3061, 687, 2636, 2043, 945, 3112, 1569, 891, 2923, 2010, 1107, 1813, 547, 3308, 15717, 610, 3500, 4950, 4296, 1107, 547, 1174, 741, 3483, 1369, 519, 2796, 540, 4478, 1543, 563, 12234, 267, 31286, 1058, 581, 2139, 585, 3381, 543, 8301, 2326, 865, 602, 18555, 610, 2182, 6361, 13463, 2130, 3755, 666, 1569, 713, 1344, 1510, 7411, 269, 2060, 891, 2994, 538, 1747, 267, 9858, 1711, 811, 12581, 3059, 5624, 1141, 3025, 779, 2115, 616, 2808, 2429, 1142, 3942, 540, 1646, 563, 2026, 3007, 7140, 2509, 17306, 1357, 29282, 585, 5496, 5467, 17356, 267, 621, 3587, 4105, 547, 5431, 875, 1978, 1374, 5079, 1764, 1585, 4217, 633, 4066, 685, 10342, 563, 17637, 532, 1280, 24897, 22419, 454, 16352, 8268, 519, 2956, 540, 1603, 585, 10333, 267, 621, 568, 2629, 547, 1174, 875, 8888, 585, 5496, 3988, 8309, 3648, 547, 513, 811, 8537, 3059, 1604, 269, 24897, 3988, 616, 1898, 2645, 1031, 676, 2043, 609, 3308, 23043, 610, 2542, 7965, 547, 8532, 1543, 593, 7270, 543, 3156, 269, 1635, 7598, 3015, 1374, 2994, 602, 8597, 547, 891, 3755, 267, 9858, 666, 2327, 789, 1683, 606, 12581, 1995, 2066, 3309, 3593, 2516, 563, 3080, 2565, 2460, 540, 8888, 585, 5496, 3988, 568, 1697, 946, 540, 23066, 14103, 2609, 267, 799, 2636, 2029, 547, 4612, 3896, 2497, 7157, 269, 901, 2882, 14013, 9001, 26333, 630, 327, 272, 3620, 277, 1070, 8638, 630, 565, 543, 12804, 1070, 7515, 267, 543, 824, 7293, 3334, 538, 1840, 547, 3246, 6209, 4244, 1257, 11673, 585, 2592, 563, 12234, 267, 4180, 13691, 4044, 1464, 998, 9266, 9184, 1931, 543, 1445, 10832, 711, 1152, 2640, 1346, 1210, 5496, 3988, 855, 849, 10607, 2949, 32636, 585, 782, 3755, 563, 5194, 4105, 7156, 950, 2870, 3015, 6272, 568, 2681, 4334, 282, 713, 5849, 31824, 1256, 585, 1004, 609, 1970, 5075, 610, 2681, 21901, 269, 1520, 17518, 547, 654, 7563, 294, 476, 273, 269, 272, 4808, 593, 5934, 4334, 12753, 1063, 32215, 1257, 543, 4282, 4778, 11226, 538, 8236, 1850, 1043, 1543, 6881, 2066, 1585, 3457, 543, 8658, 563, 4415, 3007, 6976, 547, 1312, 5033, 24939, 543, 15312, 267, 9858, 6542, 741, 7029, 4724, 5807, 513, 1158, 2647, 1357, 1141, 3025, 814, 3160, 4316, 585, 7589, 543, 6278, 563, 2026, 649, 3136, 938, 3460, 2509, 1620, 1655, 2853, 538, 8888, 585, 10333, 267, 1577, 721, 1631, 2490, 938, 3007, 2509, 4152, 16097, 602, 948, 19472, 2436, 938, 13144, 5963, 2743, 519, 2115, 540, 3309, 3755, 563, 14818, 532, 1280, 29456, 454, 2026, 519, 740, 720, 4422, 267, 2048, 2791, 666, 1406, 4383, 1018, 596, 666, 1406, 2268, 10200, 769, 519, 7706, 540, 8888, 585, 10333, 267, 713, 10206, 6585, 3020, 269, 1677, 2327, 602, 6272, 616, 3015, 543, 8537, 547, 782, 3755, 267, 621, 568, 2629, 547, 2932, 9488, 4152, 1282, 1585, 5933, 540, 1646, 563, 28885, 513, 4999, 540, 4152, 2409, 2636, 9858, 543, 9367, 547, 2697, 1761, 7496, 538, 741, 2472, 610, 1543, 269, 2368, 1883, 3334, 3238, 538, 4152, 585, 10333, 1331, 912, 10048, 783, 24422, 281, 28392, 17265, 1374, 2609, 547, 3713, 1022, 2152, 711, 9575, 676, 12747, 2645, 563, 27165, 5955, 281, 3752, 545, 1746, 3403, 689, 2043, 609, 1114, 5759, 547, 2744, 5813, 883, 875, 789, 1995, 707, 1587, 563, 10112, 626, 633, 2029, 17356, 281, 23496, 15774, 5872, 1063, 707, 1374, 543, 1585, 4217, 633, 3457, 971, 607, 5496, 3988, 610, 1257, 3562 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5536, 13788, 513, 16437, 518, 2923, 689, 513, 4686, 337, 5420, 269, 1306, 513, 1267, 267, 519, 5057, 540, 1216, 779, 2627, 6991, 602, 568, 3339, 547, 519, 2627, 4679, 1247, 519, 5057, 602, 568, 6252, 547, 519, 2627, 3788, 1482, 269, 4475, 10484, 8256, 18790, 513, 1769, 11237, 3001, 689, 513, 4686, 337, 630, 1515, 264, 547, 513, 16437, 518, 630, 9795, 264, 5420, 630, 4248, 1040, 2913, 594, 815, 5086, 540, 11841, 267, 678, 815, 5086, 540, 1201, 3555, 267, 642, 815, 3432, 540, 1769, 538, 1216, 267, 524, 815, 3432, 540, 1769, 538, 12511, 630, 528, 2011, 1070, 543, 11374, 602, 267, 1759, 593, 13053, 779, 24402, 4788, 8367, 10484, 763, 4542, 568, 281, 3281, 9426, 540, 6991, 524, 2059, 519, 9668, 2627, 11224, 3281, 9426, 540, 6991, 642, 2059, 519, 9668, 2627, 780, 23409, 12599, 693, 513, 5488, 2557, 538, 1216, 982, 538, 2011, 269, 1717, 267, 538, 4641, 267, 524, 3436, 269, 634, 4603, 568, 5812, 609, 519, 1769, 5951, 3069, 6069, 676, 670, 8500, 326, 839, 780, 1015, 269, 1724, 1411, 723, 19927, 538, 519, 1257, 875, 670, 8500, 326, 839, 685, 6240, 5012, 547, 519, 4031, 540, 8086, 543, 1201, 3555, 269, 2422, 519, 1482, 6240, 547, 17429, 576, 2047, 602, 513, 1448, 1843, 5116, 538, 4395, 540, 513, 7077, 11604, 7472, 513, 5691, 3239, 4171, 3845, 689, 519, 11604, 568, 3160, 547, 519, 1843, 3845, 689, 519, 11604, 780, 9172, 1107, 623, 568, 513, 1448, 1843, 538, 519, 4137, 602, 568, 5116, 693, 513, 3845, 269, 678, 689, 513, 11604, 538, 519, 2011, 631, 272, 300, 273, 269, 8571, 513, 20085, 9095, 609, 623, 607, 519, 8998, 543, 18161, 815, 678, 607, 519, 8953, 282, 9474, 269, 901, 568, 519, 1843, 779, 20085, 5951, 4395, 602, 729, 10071, 593, 631, 272, 300, 273, 269, 634, 4087, 540, 5951, 4395, 9474, 1131, 581, 589, 685, 289, 685, 538, 519, 9000, 540, 19141, 267, 1141, 26076, 685, 815, 476, 273, 337, 269, 4340, 547, 13535, 4723, 779, 3069, 267, 5951, 4395, 589, 645, 1131, 1413, 607, 589, 892, 303, 289, 892, 538, 519, 4527, 540, 519, 11604, 269, 589, 685, 289, 685, 543, 589, 892, 289, 892, 616, 1079, 20085, 9095, 338, 602, 616, 8449, 13883, 593, 2901, 2427, 540, 631, 272, 300, 273, 267, 607, 568, 2938, 689, 519, 14745, 269, 589, 685, 303, 685, 289, 685, 666, 581, 2219, 540, 607, 519, 10630, 3239, 540, 589, 892, 303, 289, 269, 1284, 3313, 20525, 815, 20525, 8730, 799, 2877, 547, 581, 8810, 267, 1210, 10026, 9511, 780, 1015, 269, 1691, 2913, 721, 1592, 930, 540, 519, 2188, 267, 799, 1223, 7654, 3310, 519, 3432, 540, 5951, 18640, 912, 9217, 264, 2470, 540, 519, 2707, 563, 23870, 264, 4287, 540, 18640, 563, 31702, 264, 5163, 540, 519, 2707, 543, 5924, 20626, 563, 263, 643, 264, 15423, 563, 17635, 264, 8515, 540, 519, 5951, 269, 2201, 799, 540, 891, 2188, 267, 952, 1022, 267, 1281, 454, 5416, 264, 519, 3432, 540, 1769, 538, 12511, 2676, 6357, 264, 519, 3432, 540, 1769, 538, 513, 5420, 630, 25669, 267, 4837, 610, 1216, 1070, 4096, 2496, 9172, 1107, 630, 320, 264, 634, 3432, 540, 1769, 538, 513, 12511, 568, 19448, 26327, 676, 1022, 540, 519, 27069, 4632, 269, 3958, 267, 621, 568, 19448, 26327, 676, 519, 10688, 540, 519, 2707, 538, 6935, 547, 519, 20626, 780, 6357, 264, 634, 2078, 1063, 1769, 3432, 543, 513, 5420, 780, 9217, 264, 1109, 763, 2186, 540, 519, 2707, 814, 1100, 12946, 593, 519, 3432, 540, 1769, 538, 513, 2016, 5420, 269, 11048, 267, 519, 4162, 540, 519, 18640, 5420, 3313, 3432, 780, 23870, 264, 1280, 606, 13666, 22241, 5420, 267, 519, 3432, 540, 1769, 568, 19448, 26327, 676, 519, 4287, 540, 18640, 780, 31702, 264, 634, 6991, 540, 519, 2707, 538, 6935, 547, 519, 5420, 814, 1100, 12946, 593, 519, 3432, 540, 1769, 267, 6466, 519, 5163, 540, 519, 20626, 538, 6935, 547, 519, 5420, 1281, 780, 263, 643, 264, 634, 15423, 540, 1769, 5540, 875, 3728, 1769, 12599, 998, 513, 5420, 780, 17635, 264, 634, 3432, 540, 1769, 538, 513, 5420, 568, 4830, 540, 8515, 692, 1015, 269, 1428, 1280, 3280, 6329, 267, 519, 28576, 16980, 4542, 585, 4908, 6521, 15320, 5594, 1063, 519, 1079, 3871, 912, 9217, 264, 2707, 693, 1964, 282, 20626, 3001, 267, 543, 454, 23870, 264, 2707, 3001, 282, 20626, 693, 1964, 269, 634, 3169, 28576, 16980, 12596, 585, 519, 2013, 540, 1769, 6329, 538, 12511, 616, 267, 2705, 267, 14553, 9838, 585, 891, 3871, 269, 11512, 1946, 713, 1058, 581, 865, 269, 14348, 596, 2503, 519, 12596, 547, 581, 14553, 9838, 585, 519, 1079, 3871, 538, 2013, 540, 1769, 21409, 538, 513, 5420, 2496, 9172, 1107, 1280, 3280, 547, 2951, 267, 513, 2168, 5420, 568, 2877, 269, 32163, 725, 630, 272, 264, 543, 630, 273, 264, 949, 1312, 4125, 519, 1482, 3448, 5163, 267, 855, 789, 616, 711, 9308, 9838, 2094, 519, 5163, 540, 519, 20626, 538, 6935, 547, 519, 5420, 15320, 538, 1142, 2013, 269, 28576, 16980, 2360, 585, 3280, 3112, 4061, 581, 519, 1482, 538, 1312, 7653, 269, 7756, 28576, 16980, 4834, 585, 1114, 2010, 540, 2326, 10038, 875, 1769, 31136, 950, 8429, 998, 873, 780, 13828, 513, 2707, 693, 1964, 543, 606, 20626, 538, 5163, 666, 2049, 693, 519, 1482, 942, 780, 4913, 267, 2094, 519, 3432, 540, 1769, 543, 922, 4908, 11320, 320, 767, 2654, 616, 19448, 26327, 676, 12511, 267, 519, 12596, 585, 519, 1079, 5094, 2175, 616, 4010, 519, 1482, 950, 1769, 12599, 998, 621, 780, 1015, 269, 1626, 769, 5595, 1606, 26569, 4603, 1210, 1769, 540, 15423, 476, 7785, 16354, 267, 519, 16070, 8700, 540, 513, 535, 16206, 4646, 593, 513, 11397, 5496, 568, 476, 271, 269, 272, 4113, 269, 1548, 568, 519, 19437, 1063, 519, 1079, 1793, 1080, 2496, 9172, 1107, 692, 310, 320, 767, 2654, 815, 476, 7785, 333, 332, 692, 17951, 983, 8700, 815, 271, 269, 272, 692, 1015, 269, 1704, 8382, 519, 1739, 2055, 912, 5416, 264, 769, 513, 2582, 1793, 527, 32250, 4603, 267, 519, 8700, 540, 519, 1793, 527, 568, 1500, 5595, 519, 3312, 8700, 269, 1215, 1281, 713, 1860, 519, 2450, 543, 8515, 540, 519, 3844, 32250, 6512, 888, 6357, 264, 769, 1018, 1259, 568, 32250, 689, 1142, 1793, 527, 1644, 547, 519, 13779, 4806, 538, 513, 5595, 1606, 26569, 4603, 888, 6262, 264, 1879, 513, 6263, 9764, 21677, 568, 5116, 538, 519, 2619, 540, 1769, 689, 513, 11397, 2707, 267, 513, 6505, 5544, 568, 2938, 693, 519, 8998, 540, 519, 14692, 540, 519, 21677, 269, 11512, 1946, 888, 5560, 264, 5565, 1053, 616, 9674, 676, 513, 476, 278, 544, 15652, 3774, 538, 513, 4055, 476, 1015, 544, 1164, 269, 1403, 1312, 1769, 543, 3280, 6329, 666, 18846, 1472, 9465, 267, 875, 568, 621, 602, 519, 1053, 616, 8572, 547, 1294, 1142, 824, 1256, 1498, 789, 666, 598, 2091, 3362, 563, 16216, 264, 14105, 25852, 568, 1759, 593, 519, 13429, 602, 1769, 12599, 538, 513, 2786, 1899, 269, 5262, 3555, 2360, 630, 10849, 5703, 950, 1769, 9070, 919, 998, 1507, 25180, 999, 4882, 331, 1080, 610, 1472, 1507, 9465, 264, 16355, 557, 713, 13429, 269, 8616, 519, 18422, 25852, 13429, 568, 865, 4122, 1031, 538, 1620, 4087, 543, 1896, 824, 3601, 540, 2592, 538, 9804, 7405, 269, 1548, 568, 519, 24134, 2496, 9172, 1107, 630, 320, 264, 634, 8998, 3193, 9874, 779, 4560, 568, 3160, 547, 476, 273, 291, 7933, 780, 2691, 519, 1793, 527, 779, 8700, 630, 323, 264, 568, 23060, 267, 519, 8700, 540, 519, 3844, 32250, 3193, 9874, 568, 2759, 538, 3368, 267, 543, 607, 519, 17931, 540, 519, 1769, 5951, 29156, 267, 519, 8515, 540, 519, 3844, 6512, 4679, 2185, 2053, 780, 6357, 264, 634, 2706, 6570, 540, 519, 32250, 3270, 3361, 676, 1142, 1793, 527, 3123, 519, 8515, 540, 519, 535, 2590, 525, 6383, 538, 519, 5595, 1606, 26569, 4603, 547, 11385, 622, 780, 6262, 264, 634, 6316, 540, 519, 9764, 25518, 886, 847, 338, 6329, 689, 513, 11397, 2707, 267, 543, 891, 6329, 1287, 4020, 1947, 2706, 574, 2821, 693, 519, 8998, 540, 519, 21677, 779, 14692, 547, 3132, 513, 6505, 5544, 780, 5560, 264, 1284, 616, 3222, 602, 519, 2450, 540, 519, 25518, 610, 27934, 1590, 581, 593, 519, 1931, 540, 519, 15423, 585, 32250, 547, 2049, 269, 14675, 6329, 666, 18846, 998, 513, 1804, 6679, 538, 513, 15652, 3774, 1317, 741, 15423, 568, 593, 519, 1931, 540, 513, 1906, 15432, 267, 1247, 1769, 6329, 3112, 1317, 741, 15423, 568, 593, 519, 1931, 540, 513, 30562, 564, 516, 269, 9603, 547, 713, 267, 4352, 1373, 8572, 547, 1294, 835, 1776, 267, 519, 1079, 10453, 666, 5873, 835, 1776, 780, 16216, 264, 769, 9804, 7405, 267, 2450, 540, 25180, 999, 616, 1454, 3677, 982, 519, 15423, 540, 1769, 269, 1924, 32250, 540, 1769, 568, 30050, 269, 9747, 267, 519, 13429, 602, 1769, 666, 2951, 538, 2786, 1899, 568, 1031, 538, 9804, 7405, 780, 1015, 269, 1240, 5565, 20610, 593, 1283, 540, 1079, 15113, 616, 476, 2412, 5998, 6306, 269, 634, 1899, 11836, 873, 10596, 476, 2004, 544, 1657, 513, 14629, 28870, 1063, 519, 20610, 269, 1548, 568, 519, 13074, 15423, 540, 5925, 6329, 267, 799, 666, 581, 2366, 1063, 519, 20610, 1510, 3507, 762, 32250, 2360, 2496, 9172, 1107, 692, 2690, 32250, 540, 5925, 6329, 711, 547, 2049, 519, 3845, 540, 1647, 14629, 1058, 581, 1447, 982, 23906, 6773, 3845, 585, 513, 1793, 527, 8700, 2048, 320, 685, 540, 476, 2004, 544, 780, 1015, 269, 866, 589, 6252, 11237, 540, 1769, 540, 15423, 476, 4335, 16354, 8813, 593, 513, 7522, 1793, 527, 543, 519, 4611, 32250, 4806, 568, 4767, 593, 513, 5496, 476, 272, 544, 2476, 269, 898, 568, 4767, 602, 519, 1101, 5934, 568, 693, 513, 3845, 540, 476, 273, 269, 276, 6515, 689, 519, 8998, 540, 519, 5496, 269, 4855, 519, 8700, 540, 519, 1793, 527, 269, 476, 1015, 269, 736, 8382, 519, 1739, 2055, 912, 5416, 264, 1879, 513, 1970, 10760, 8484, 10596, 16841, 267, 649, 3006, 5469, 513, 13581, 24373, 540, 519, 4605, 593, 938, 7641, 5496, 269, 21909, 513, 2009, 7778, 563, 6357, 264, 1306, 596, 723, 19927, 538, 519, 1257, 267, 519, 6240, 540, 5276, 2706, 6570, 540, 5951, 12761, 568, 2596, 547, 1620, 8515, 14778, 538, 32250, 543, 13779, 3270, 269, 1548, 568, 519, 24134, 540, 713, 6240, 2496, 9172, 1107, 634, 1101, 5934, 568, 8068, 476, 273, 269, 276, 6515, 689, 519, 5496, 779, 8998, 780, 4910, 738, 532, 32250, 4767, 815, 476, 272, 332, 692, 1015, 269, 2641, 769, 3541, 1516, 519, 2582, 1793, 527, 32250, 4806, 267, 621, 729, 7150, 602, 519, 8515, 568, 4642, 693, 7285, 540, 562, 16575, 21669, 269, 3807, 1518, 713, 676, 9290, 2406, 12270, 519, 1793, 527, 547, 3142, 856, 519, 23545, 566, 780, 9172, 1107, 630, 320, 264, 634, 17285, 8484, 1560, 9356, 519, 7641, 5365, 950, 513, 1970, 1922, 2391, 8484, 10596, 16841, 269, 9603, 547, 13779, 1063, 519, 1463, 5365, 4607, 676, 519, 19215, 543, 519, 1463, 5365, 689, 519, 7098, 6955, 2033, 267, 972, 568, 513, 5634, 1726, 3387, 1782, 540, 519, 3239, 593, 519, 7641, 5496, 780, 6357, 264, 6271, 5951, 3830, 568, 519, 5276, 4999, 540, 5951, 4834, 269, 634, 2706, 6570, 6240, 568, 1759, 593, 713, 538, 922, 6986, 560, 1106, 780, 1012, 4147, 476, 1321, 8212, 3848, 476, 1015, 23027, 8838, 923, 3752, 1386, 11644, 5999, 5131, 7300, 8281, 692, 2971, 28120, 19453, 692, 21659, 514, 19453, 568, 2069, 3318, 20131, 540, 19436, 269, 594, 723, 1434, 1702, 540, 23048, 782, 5396, 269, 16869, 538, 13004, 267, 6323, 543, 7998, 269, 952, 1053, 723, 1022, 8969, 827, 19436, 10298, 865, 3346, 721, 9623, 287, 322, 2125, 523, 4925, 23357, 780, 8698, 782, 9708, 676, 28120, 19453, 9890, 0, 258, 17438, 602, 519, 6207, 3017, 540, 1079, 18062, 568, 3160, 610, 1447, 982, 476, 273, 780, 763, 9183, 281, 594, 5066, 1079, 18062, 267, 1018, 781, 519, 5506, 602, 519, 6207, 3017, 1063, 519, 1079, 18062, 568, 3160, 610, 1447, 982, 476, 273, 2496, 296, 917, 519, 15864, 1259, 568, 547, 1711, 513, 5168, 3349, 543, 1293, 519, 7399, 692, 291, 823, 476, 272, 1923, 667, 823, 476, 273, 454, 272, 476, 13725, 1923, 476, 272, 454, 273, 476, 13725, 1923, 476, 273, 454, 2483, 277, 476, 13725, 1923, 476, 277, 692, 3719, 267, 519, 13946, 520, 568, 602, 594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16678, 1143, 267, 543, 519, 1272, 540, 31883, 30781, 2297, 267, 4171, 3068, 729, 4988, 609, 4552, 32235, 1813, 547, 519, 2783, 540, 29998, 5341, 2670, 267, 607, 513, 2009, 2203, 585, 2142, 320, 636, 2632, 781, 28458, 563, 1103, 519, 7766, 11271, 267, 14466, 773, 879, 7575, 689, 519, 2038, 2413, 5339, 8941, 883, 519, 7706, 540, 2661, 4670, 267, 14318, 267, 543, 1256, 7574, 14364, 4098, 609, 519, 476, 3707, 277, 4670, 676, 14639, 3213, 551, 324, 879, 538, 3184, 1614, 267, 32240, 18557, 781, 476, 1960, 272, 14318, 543, 519, 16340, 3118, 7574, 621, 6273, 538, 3184, 2185, 267, 543, 6368, 519, 476, 1001, 275, 834, 12516, 545, 14810, 257, 676, 2441, 641, 515, 717, 753, 538, 3184, 2947, 630, 14056, 1040, 634, 10469, 564, 1014, 3310, 602, 14466, 773, 879, 12034, 538, 3213, 551, 324, 879, 781, 4670, 568, 5941, 1152, 538, 519, 3803, 3296, 540, 3184, 1614, 607, 519, 3152, 851, 568, 6131, 547, 519, 14952, 748, 610, 9589, 2609, 267, 519, 12705, 626, 1404, 540, 1769, 543, 4158, 267, 543, 1586, 519, 16678, 1143, 1459, 538, 519, 4670, 269, 14466, 773, 879, 781, 4901, 540, 19141, 267, 4778, 267, 543, 24853, 2147, 547, 519, 862, 4215, 546, 749, 262, 27525, 267, 26274, 543, 6189, 267, 543, 7510, 4710, 1013, 923, 538, 3213, 551, 324, 879, 781, 4670, 267, 782, 540, 799, 554, 1046, 523, 1394, 547, 519, 7969, 11193, 267, 616, 2609, 3838, 609, 18557, 781, 19347, 9542, 543, 717, 753, 781, 4670, 5941, 936, 1586, 538, 519, 1739, 11271, 269, 1306, 538, 519, 3184, 593, 3213, 551, 324, 879, 267, 519, 4901, 540, 519, 3310, 540, 519, 2372, 3430, 549, 1417, 334, 538, 18557, 781, 543, 717, 753, 781, 1568, 568, 693, 2053, 31083, 611, 15735, 676, 519, 6514, 540, 9867, 3584, 971, 607, 1808, 3197, 267, 519, 1404, 540, 8654, 267, 543, 519, 14952, 748, 610, 28531, 2609, 538, 519, 8874, 269, 769, 519, 3803, 3184, 267, 14466, 773, 879, 11828, 606, 5044, 540, 14624, 585, 1762, 9458, 543, 3988, 267, 971, 607, 513, 13371, 14816, 267, 513, 29478, 267, 543, 12383, 18913, 5339, 1568, 269, 769, 713, 3184, 267, 2943, 1586, 519, 7287, 585, 4560, 540, 3795, 540, 3309, 14624, 543, 3584, 7173, 5661, 936, 3178, 540, 1489, 585, 14466, 773, 879, 781, 5098, 540, 513, 9860, 540, 7969, 11193, 3310, 593, 1142, 9542, 269, 1717, 267, 585, 3988, 540, 3943, 2324, 609, 834, 17442, 5617, 548, 1696, 3288, 5975, 324, 257, 543, 5275, 513, 2189, 5133, 593, 519, 7969, 7506, 3297, 3213, 551, 324, 879, 781, 28076, 5079, 610, 519, 6667, 3297, 519, 11265, 1374, 540, 519, 2142, 770, 781, 669, 622, 879, 538, 717, 753, 781, 4670, 267, 19129, 586, 1285, 7159, 964, 9087, 529, 786, 6961, 3730, 269, 0, 307, 330, 5793, 5932, 513, 9949, 6885, 609, 922, 9949, 2450, 1247, 3355, 1944, 519, 3498, 269, 1284, 666, 21160, 519, 9511, 540, 519, 6885, 1210, 519, 9511, 1505, 563, 4913, 267, 538, 1931, 547, 11694, 519, 6885, 267, 649, 666, 946, 519, 1533, 3890, 1505, 799, 666, 581, 1031, 585, 18440, 519, 28184, 5793, 6885, 269, 898, 12366, 3278, 519, 6885, 1310, 8429, 519, 968, 345, 7112, 539, 892, 1533, 1871, 547, 621, 563, 258, 17387, 519, 2838, 8021, 689, 28184, 5793, 1104, 2608, 1948, 8620, 606, 3236, 540, 28184, 5793, 7406, 3094, 284, 570, 330, 3890, 1948, 13729, 519, 9511, 540, 7406, 3094, 269, 613, 5852, 2891, 7785, 343, 6110, 8442, 1948, 8620, 513, 1257, 6003, 22443, 263, 7773, 267, 3667, 6889, 2005, 3217, 1152, 476, 2641, 2395, 547, 1711, 513, 1007, 13206, 527, 2580, 13944, 284, 3488, 307, 1307, 1715, 4936, 12050, 3299, 1428, 26895, 17569, 9638, 8014, 284, 736, 264, 1948, 16655, 4476, 519, 6885, 1210, 1533, 3959, 3094, 269, 8063, 3488, 345, 7112, 539, 10807, 3094, 6230, 664, 31467, 4590, 305, 7342, 519, 1657, 3009, 786, 11694, 519, 28184, 5793, 6885, 269, 0, 20288, 560, 718, 15775, 590, 1157, 454, 9596, 519, 1259, 547, 2061, 26030, 2264, 14213, 338, 543, 3605, 519, 1655, 26030, 2264, 8851, 2081, 269, 717, 663, 290, 4599, 568, 513, 16160, 26030, 2264, 14213, 602, 5734, 538, 5130, 476, 1001, 279, 269, 898, 1185, 1082, 8747, 543, 2968, 29200, 607, 519, 3968, 3533, 11200, 563, 268, 1403, 596, 4076, 513, 8611, 267, 11522, 543, 3390, 7929, 267, 3343, 2564, 3007, 5612, 563, 268, 634, 11452, 19082, 5631, 689, 1268, 547, 1268, 563, 268, 1677, 3180, 707, 26430, 1134, 31622, 3603, 267, 4235, 1100, 1447, 982, 5216, 476, 279, 268, 8784, 14296, 540, 1216, 1169, 1554, 563, 268, 4634, 952, 2576, 538, 707, 6068, 3283, 814, 1085, 28320, 267, 972, 616, 1919, 596, 666, 798, 547, 4217, 2569, 922, 11200, 267, 16069, 1085, 28320, 689, 3468, 532, 519, 2898, 7622, 563, 268, 670, 10345, 3853, 547, 2759, 1394, 960, 23938, 2669, 267, 2800, 543, 2192, 1072, 563, 16485, 547, 8430, 513, 7658, 8234, 13393, 609, 707, 4387, 585, 513, 6216, 1007, 610, 5571, 1875, 4026, 550, 2339, 269, 1403, 267, 1310, 6158, 547, 596, 267, 707, 4387, 6999, 547, 1294, 596, 538, 1880, 1268, 267, 1352, 610, 646, 786, 1577, 596, 917, 269, 3680, 2915, 11614, 610, 1857, 4025, 519, 1747, 513, 1804, 1297, 540, 11570, 543, 22578, 2445, 269, 3680, 15603, 10130, 2170, 609, 2043, 610, 2831, 602, 798, 711, 2661, 538, 707, 1920, 269, 27814, 267, 649, 616, 2469, 547, 3035, 23636, 12046, 607, 811, 11570, 782, 936, 519, 1158, 4309, 10074, 602, 786, 24705, 9434, 12046, 269, 1809, 649, 1810, 1406, 1174, 875, 1279, 6986, 12046, 16569, 267, 610, 875, 7347, 621, 779, 563, 12507, 3218, 2659, 2657, 11545, 454, 4407, 10074, 1223, 2014, 930, 1455, 13311, 2427, 2360, 267, 971, 607, 513, 13713, 15319, 6186, 610, 1970, 8611, 267, 789, 2461, 3335, 2922, 543, 2500, 269, 634, 1101, 1899, 540, 4027, 568, 547, 2226, 17900, 693, 15922, 676, 1739, 1434, 2123, 9882, 6208, 269, 16473, 606, 3968, 1354, 621, 5956, 543, 2057, 10825, 621, 547, 1866, 609, 891, 2241, 3800, 269, 1548, 952, 707, 20499, 5749, 1406, 14849, 855, 849, 798, 711, 2887, 883, 519, 1970, 1673, 9734, 1362, 286, 769, 891, 543, 2147, 6381, 267, 2012, 707, 10629, 585, 16252, 563, 291, 549, 921, 1206, 689, 513, 1268, 609, 5046, 268, 866, 723, 519, 3644, 538, 873, 269, 1403, 596, 13236, 519, 20256, 538, 267, 519, 3644, 4991, 883, 707, 1062, 269, 1411, 949, 10123, 6952, 519, 11452, 952, 596, 5905, 1945, 602, 606, 7783, 1367, 814, 20109, 1310, 799, 3346, 707, 4064, 267, 19911, 22567, 267, 610, 5023, 563, 11900, 728, 20840, 776, 9839, 2657, 912, 5575, 267, 621, 949, 948, 5818, 938, 938, 4703, 685, 6986, 4027, 538, 11685, 547, 8290, 543, 2890, 11248, 269, 5822, 267, 621, 1223, 948, 2061, 606, 27105, 12982, 3210, 267, 799, 814, 1044, 3254, 547, 3565, 547, 4049, 19210, 538, 930, 1004, 609, 5046, 268, 866, 269, 4934, 13073, 267, 2011, 14768, 666, 14649, 543, 32561, 519, 3644, 267, 1818, 6771, 1447, 4440, 269, 1411, 2461, 3063, 2693, 547, 11375, 1446, 519, 3644, 16280, 267, 609, 519, 1753, 9486, 6806, 267, 2436, 610, 711, 610, 711, 596, 4076, 519, 2011, 14555, 593, 563, 2252, 596, 1522, 581, 4587, 982, 476, 4792, 610, 693, 11506, 8594, 585, 1022, 2014, 267, 6615, 15143, 547, 519, 17365, 4558, 269, 9105, 513, 7023, 610, 5493, 547, 4584, 909, 14770, 625, 543, 979, 2476, 873, 3544, 707, 1753, 269, 6423, 538, 2013, 707, 17365, 4558, 6799, 2027, 3108, 585, 4587, 4079, 610, 891, 609, 5817, 3871, 269, 8347, 547, 6006, 513, 5934, 540, 513, 476, 1789, 6377, 1683, 540, 1022, 2877, 1095, 18587, 269, 1403, 707, 6142, 14998, 562, 27197, 6377, 1201, 1571, 267, 602, 779, 1256, 2362, 269, 5269, 2386, 596, 1256, 723, 936, 7308, 23716, 11955, 543, 1114, 1134, 1373, 7727, 2139, 563, 2691, 513, 5906, 1045, 14575, 2443, 899, 513, 669, 11035, 610, 2770, 3644, 267, 610, 519, 11452, 602, 3123, 5046, 268, 866, 2443, 4991, 883, 707, 26430, 267, 707, 4761, 1062, 4410, 338, 606, 14213, 269, 19612, 607, 606, 4761, 3210, 267, 713, 14213, 568, 513, 5311, 540, 2621, 602, 2882, 9867, 2281, 543, 4652, 9529, 936, 942, 269, 2311, 1459, 267, 621, 568, 2219, 540, 12691, 602, 10130, 7222, 547, 666, 1149, 610, 7314, 666, 3262, 519, 5046, 268, 866, 3644, 547, 3425, 269, 1717, 267, 10130, 666, 11200, 1114, 5563, 602, 9594, 19210, 267, 1519, 661, 269, 19546, 543, 27187, 267, 865, 11547, 707, 7916, 8499, 609, 7738, 12853, 543, 1216, 1310, 15025, 609, 10130, 269, 17261, 1149, 1996, 16415, 267, 7222, 547, 13969, 25497, 5632, 6669, 543, 12920, 17232, 639, 14798, 1826, 645, 6669, 267, 9003, 948, 2149, 11570, 689, 891, 1880, 9190, 5563, 269, 0, 23895, 30503, 1674, 540, 667, 7315, 614, 553, 454, 291, 7315, 614, 553, 568, 606, 1271, 851, 540, 4144, 28549, 16873, 269, 667, 7315, 614, 553, 7436, 519, 1101, 1554, 540, 4144, 28549, 16873, 269, 667, 7315, 614, 553, 568, 849, 1572, 667, 7315, 2779, 926, 570, 2001, 617, 20076, 269, 898, 8813, 593, 519, 19412, 18818, 16264, 1554, 540, 30730, 623, 27232, 320, 538, 519, 9699, 3923, 540, 918, 691, 1731, 630, 19751, 5437, 1040, 634, 2262, 667, 7315, 19752, 2724, 610, 5763, 269, 2201, 519, 1554, 540, 667, 7315, 614, 553, 267, 1004, 10847, 519, 31001, 540, 32100, 630, 18661, 12549, 700, 27232, 14741, 1040, 4595, 667, 7315, 614, 553, 568, 2404, 609, 519, 10847, 540, 31001, 700, 27232, 14741, 267, 621, 568, 513, 1360, 1271, 11812, 538, 519, 5321, 540, 519, 24271, 656, 850, 2146, 269, 769, 3127, 267, 8075, 543, 2344, 4025, 5957, 513, 30018, 1413, 593, 519, 1554, 540, 667, 7315, 614, 553, 543, 2344, 4025, 616, 705, 340, 3960, 609, 1004, 782, 1472, 269, 0, 12304, 16181, 609, 13093, 2045, 6698, 547, 1451, 827, 1142, 3280, 563, 12304, 547, 1404, 606, 1383, 12332, 540, 8945, 2044, 563, 2304, 1383, 946, 540, 8945, 2044, 538, 513, 4633, 676, 513, 5065, 10584, 540, 21099, 7005, 912, 2108, 2507, 1101, 1812, 639, 6836, 1210, 8945, 2044, 543, 2560, 7536, 307, 4459, 2044, 568, 519, 957, 540, 13587, 1516, 2576, 676, 1797, 540, 524, 7342, 610, 26760, 269, 0, 19865, 476, 272, 269, 274, 269, 16294, 513, 5650, 602, 3217, 1614, 2338, 607, 7440, 543, 7024, 519, 2040, 540, 519, 10945, 540, 519, 1079, 3677, 2338, 563, 296, 1031, 519, 8847, 540, 454, 8999, 6361, 1606, 638, 4100, 602, 616, 538, 519, 1257, 912, 263, 3698, 710, 630, 338, 13645, 1535, 264, 30916, 1535, 1535, 4297, 630, 3698, 710, 630, 8999, 6361, 1606, 638, 4100, 1535, 586, 264, 22791, 630, 338, 13645, 1535, 264, 630, 338, 13645, 586, 21875, 7069, 3689, 8827, 454, 1607, 5650, 547, 1265, 519, 2040, 540, 519, 10945, 540, 519, 1079, 3677, 2338, 538, 513, 17784, 3096, 454, 1718, 267, 799, 729, 5189, 538, 713, 3296, 540, 519, 1433, 269, 634, 1101, 1899, 540, 519, 454, 1718, 11974, 952, 454, 320, 568, 1312, 10922, 454, 321, 543, 10922, 454, 322, 269, 1403, 865, 2676, 322, 786, 581, 519, 1079, 3677, 2338, 267, 865, 649, 1289, 454, 8999, 6361, 1606, 638, 4100, 609, 873, 269, 1403, 602, 1101, 1899, 3884, 1406, 3020, 267, 1287, 649, 917, 602, 454, 320, 568, 835, 540, 519, 1079, 3677, 2338, 865, 649, 666, 1175, 2638, 952, 454, 322, 269, 1403, 621, 568, 267, 1287, 649, 666, 4584, 454, 322, 585, 519, 1079, 3677, 2338, 547, 946, 538, 454, 8999, 6361, 1606, 638, 4100, 269, 1403, 711, 267, 1287, 519, 2063, 2013, 568, 602, 454, 321, 616, 519, 1079, 3677, 2338, 267, 543, 649, 946, 873, 538, 454, 8999, 6361, 1606, 638, 4100, 269, 8074, 602, 952, 1079, 610, 1614, 540, 519, 3403, 2338, 616, 519, 1482, 267, 621, 3085, 1406, 2339, 799, 649, 4584, 2094, 519, 2040, 540, 519, 10945, 786, 581, 519, 1482, 563, 263, 3698, 710, 630, 8999, 6361, 1606, 638, 4100, 6361, 26690, 2000, 24147, 5991, 13246, 513, 536, 524, 264, 630, 1718, 16733, 663, 630, 27045, 513, 536, 264, 630, 27045, 513, 524, 4297, 630, 8999, 6361, 1606, 638, 4100, 536, 524, 4297, 16733, 27045, 536, 524, 264, 630, 8999, 6361, 1606, 638, 4100, 513, 524, 4297, 630, 12828, 630, 8999, 6361, 1606, 638, 4100, 513, 536, 4297, 4917, 288, 2859, 3367, 762, 19405, 454, 5278, 821, 11329, 856, 547, 803, 602, 1250, 1101, 3801, 3884, 1406, 1360, 28505, 269, 2334, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30265, 284, 15615, 9272, 2891, 11767, 519, 6186, 540, 4009, 281, 8442, 3418, 338, 13645, 318, 19327, 284, 30265, 265, 30265, 1477, 2745, 4433, 13645, 318, 19327, 3418, 0, 333, 25507, 9272, 2891, 11767, 519, 1297, 281, 8442, 3418, 604, 562, 283, 271, 6769, 825, 1820, 2891, 11767, 513, 2318, 1297, 14744, 12828, 6769, 825, 2040, 284, 271, 1477, 825, 1247, 3799, 285, 271, 8029, 1038, 2040, 23785, 333, 1477, 1038, 562, 268, 284, 272, 1477, 1038, 1820, 4433, 636, 3418, 0, 15893, 272, 284, 15615, 9272, 2891, 11767, 519, 1297, 272, 281, 8442, 3418, 15893, 273, 284, 15615, 9272, 2891, 11767, 519, 1297, 273, 281, 8442, 3418, 604, 630, 15893, 272, 283, 15893, 273, 8029, 825, 1820, 2891, 20791, 652, 1297, 568, 284, 2580, 15893, 272, 3418, 12828, 6769, 8587, 1820, 2891, 20791, 652, 1297, 568, 284, 2580, 15893, 273, 3418, 672, 5897, 0, 12163, 2414, 23618, 513, 8520, 538, 513, 5532, 1592, 692, 9827, 1572, 4469, 20477, 781, 8520, 7020, 5690, 692, 2171, 849, 2936, 8851, 540, 8520, 538, 713, 9074, 454, 20701, 454, 5035, 5903, 11966, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 815, 7183, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 952, 1582, 912, 2018, 2132, 834, 24001, 18092, 15079, 2668, 8971, 4311, 21606, 267, 1582, 12785, 9239, 5035, 21912, 8266, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2212, 815, 7183, 2187, 1038, 1582, 23584, 815, 2212, 692, 825, 1219, 3713, 4517, 7230, 913, 299, 17274, 4311, 2187, 1038, 3500, 815, 3728, 815, 1582, 23584, 692, 1038, 1247, 3500, 543, 3728, 543, 3728, 12785, 912, 2018, 3500, 815, 3500, 12785, 454, 2018, 3728, 815, 3728, 12785, 12785, 692, 2018, 952, 3500, 2652, 3728, 912, 3546, 1582, 31927, 299, 17274, 4433, 869, 2020, 3546, 2132, 6936, 692, 1038, 2132, 8771, 692, 825, 1219, 4894, 299, 17274, 4311, 267, 8520, 17107, 1038, 10917, 815, 1582, 23584, 692, 1038, 1247, 6936, 912, 2018, 8520, 11966, 815, 8520, 454, 2018, 1247, 8520, 11966, 12785, 11203, 8520, 543, 8520, 11966, 12785, 11203, 10917, 912, 3546, 8520, 11966, 815, 8520, 11966, 12785, 692, 2018, 952, 8520, 11966, 12785, 2652, 10917, 912, 3546, 2736, 692, 2018, 10917, 815, 10917, 12785, 7531, 1038, 8520, 11966, 12785, 815, 7183, 692, 825, 1219, 1039, 4311, 267, 1239, 2187, 1038, 1007, 11966, 815, 5903, 11966, 16597, 994, 1038, 1007, 11966, 12785, 815, 1582, 23584, 454, 1038, 1582, 23584, 815, 1007, 11966, 692, 825, 1219, 1820, 4289, 4311, 2187, 1038, 10917, 815, 1582, 23584, 454, 1038, 1820, 6025, 11391, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 1038, 561, 4289, 815, 21912, 8266, 4590, 1038, 561, 4289, 14491, 263, 1015, 994, 1038, 561, 4289, 14491, 263, 275, 994, 1038, 561, 4289, 14491, 263, 1428, 994, 1038, 561, 4289, 14491, 263, 736, 994, 1038, 561, 4289, 14491, 263, 2004, 994, 1038, 561, 4289, 14491, 263, 4097, 2020, 1038, 561, 4289, 31428, 4289, 10797, 1038, 561, 4289, 23584, 12785, 12785, 12785, 12785, 815, 561, 4289, 23584, 12785, 12785, 692, 1038, 561, 4289, 6155, 25018, 4517, 7230, 913, 299, 17274, 10797, 1038, 1820, 2891, 299, 22075, 5903, 1310, 8851, 540, 31230, 5602, 1038, 561, 4289, 31428, 4289, 10797, 0, 12163, 25363, 618, 2596, 23030, 9612, 10326, 692, 9199, 951, 1023, 281, 476, 272, 269, 769, 4650, 267, 476, 273, 269, 2776, 4650, 543, 476, 274, 269, 5403, 4650, 692, 10112, 636, 6877, 281, 3143, 5918, 27289, 4847, 454, 20701, 454, 5035, 19219, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 825, 1219, 7696, 4311, 267, 1239, 2187, 1038, 952, 1582, 21606, 2652, 1239, 912, 2018, 2132, 8771, 454, 1038, 8640, 1582, 21606, 3436, 1239, 912, 2018, 952, 1582, 16000, 568, 711, 7183, 912, 3546, 2132, 1582, 16000, 27044, 16597, 994, 2018, 3116, 912, 3546, 1582, 16000, 815, 19219, 16597, 994, 3546, 2132, 6936, 454, 1038, 8640, 1582, 21606, 2999, 1239, 912, 2018, 952, 1582, 16192, 568, 711, 7183, 912, 3546, 2132, 1582, 16192, 27044, 16597, 994, 2018, 3116, 912, 3546, 1582, 16192, 815, 19219, 16597, 2020, 825, 1219, 840, 4650, 4311, 2187, 1038, 952, 1582, 912, 2018, 1820, 4311, 21606, 994, 2018, 952, 1582, 16000, 912, 3546, 1582, 16000, 269, 2181, 4650, 4590, 2018, 952, 1582, 16192, 912, 3546, 1582, 16192, 269, 2181, 4650, 10797, 825, 1219, 538, 4650, 4311, 2187, 1038, 952, 1582, 912, 2018, 952, 1582, 16000, 912, 3546, 1582, 16000, 23357, 4650, 4590, 2018, 1820, 4311, 21606, 994, 2018, 952, 1582, 16192, 912, 3546, 1582, 16192, 23357, 4650, 10797, 825, 1219, 2022, 4650, 4311, 2187, 1038, 952, 1582, 912, 2018, 952, 1582, 16000, 912, 3546, 1582, 16000, 4877, 739, 4650, 4590, 2018, 952, 1582, 16192, 912, 3546, 1582, 16192, 4877, 739, 4650, 4590, 2018, 1820, 4311, 21606, 9239, 5035, 645, 4306, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 825, 1219, 7696, 4311, 267, 1239, 2187, 1038, 952, 1582, 269, 10174, 912, 2018, 2132, 1582, 269, 10174, 27044, 16597, 994, 1038, 3116, 912, 2018, 1582, 269, 10174, 815, 19219, 16597, 994, 2018, 2132, 6936, 692, 825, 1219, 840, 4650, 4311, 2187, 1038, 952, 1582, 269, 10174, 568, 711, 7183, 912, 2018, 1820, 2891, 7093, 4650, 281, 5602, 2018, 1582, 269, 10174, 269, 2181, 4650, 10797, 825, 1219, 538, 4650, 4311, 2187, 1038, 952, 1582, 269, 10174, 568, 711, 7183, 912, 2018, 1820, 2891, 1103, 4650, 281, 5602, 2018, 1582, 269, 10174, 23357, 4650, 10797, 825, 1219, 2022, 4650, 4311, 2187, 1038, 952, 1582, 269, 10174, 568, 711, 7183, 912, 2018, 1820, 2891, 8070, 4650, 281, 5602, 2018, 1582, 269, 10174, 4877, 739, 4650, 30800, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 1038, 536, 560, 815, 645, 4306, 4590, 1038, 536, 560, 27044, 263, 1015, 994, 1038, 536, 560, 27044, 263, 1839, 994, 1038, 536, 560, 27044, 263, 279, 994, 1038, 536, 560, 27044, 263, 1724, 994, 1038, 536, 560, 27044, 263, 4649, 994, 1038, 536, 560, 27044, 263, 275, 994, 1038, 536, 560, 27044, 263, 277, 994, 1038, 536, 560, 27044, 263, 1321, 994, 1038, 536, 560, 27044, 263, 280, 2020, 1038, 536, 560, 23357, 4650, 4590, 1038, 1948, 321, 560, 31927, 263, 280, 2020, 1038, 536, 560, 4877, 739, 4650, 4590, 1038, 536, 560, 269, 2181, 4650, 4590, 0, 12163, 25363, 7695, 540, 3687, 29571, 692, 7343, 25209, 281, 19321, 835, 811, 10518, 609, 782, 519, 5934, 2418, 6740, 538, 513, 10518, 454, 20701, 18411, 11405, 272, 281, 4635, 835, 811, 10518, 1412, 2381, 23637, 262, 609, 519, 5934, 2418, 6740, 538, 519, 10518, 692, 11742, 281, 744, 3799, 994, 22129, 281, 744, 3799, 994, 18257, 7531, 5035, 29571, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14714, 871, 815, 11713, 1038, 1582, 269, 2381, 23637, 815, 29129, 825, 1219, 7903, 4311, 267, 6221, 2187, 1038, 952, 7003, 4311, 14714, 871, 264, 2652, 476, 271, 912, 2018, 1582, 14714, 871, 6910, 263, 14403, 994, 2018, 1582, 269, 2381, 23637, 6910, 263, 14403, 994, 1038, 3116, 912, 2018, 1582, 14714, 871, 6910, 263, 14403, 994, 2018, 952, 6221, 2999, 1582, 269, 2381, 23637, 15631, 272, 14158, 3546, 1582, 269, 2381, 23637, 6910, 263, 14403, 2020, 825, 1219, 1402, 4311, 2187, 1038, 952, 7003, 4311, 14714, 871, 264, 11203, 476, 271, 912, 2018, 952, 1582, 14714, 871, 15631, 272, 316, 2652, 1582, 269, 2381, 23637, 15631, 272, 14158, 3546, 1582, 269, 2381, 23637, 21014, 4590, 2018, 1582, 14714, 871, 21014, 10797, 825, 1219, 1283, 4311, 2187, 1038, 952, 7003, 4311, 14714, 871, 264, 2652, 476, 271, 912, 2018, 2132, 910, 272, 454, 1038, 2132, 1582, 14714, 871, 15631, 272, 6540, 825, 1219, 1205, 14737, 4311, 2187, 1038, 952, 7003, 4311, 269, 2381, 23637, 264, 2652, 476, 271, 912, 2018, 2132, 910, 272, 454, 1038, 2132, 1582, 269, 2381, 23637, 15631, 272, 6540, 825, 1219, 1820, 1805, 871, 4311, 2187, 1038, 2132, 1582, 14714, 871, 692, 825, 1219, 1820, 14737, 1805, 871, 4311, 2187, 1038, 2132, 1582, 269, 2381, 23637, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 1038, 513, 815, 29571, 4590, 1038, 513, 4877, 2313, 263, 1015, 994, 1038, 513, 4877, 2313, 263, 276, 994, 1038, 513, 4877, 2313, 263, 279, 994, 1038, 513, 4877, 2313, 263, 1724, 994, 1038, 513, 4877, 2313, 263, 273, 994, 1038, 513, 4877, 2313, 263, 280, 994, 1038, 513, 4877, 2313, 263, 272, 994, 1038, 1820, 5416, 31428, 1805, 871, 15405, 1038, 1820, 5416, 31428, 14737, 1805, 871, 15405, 1038, 1820, 5416, 10947, 14737, 15405, 1038, 513, 21014, 4590, 1038, 513, 21014, 4590, 1038, 513, 21014, 4590, 1038, 1820, 5416, 31428, 1805, 871, 15405, 1038, 1820, 5416, 31428, 14737, 1805, 871, 15405, 0, 1029, 10461, 1029, 815, 1412, 297, 2033, 345, 853, 1575, 541, 7055, 5814, 621, 1068, 8962, 454, 5814, 942, 527, 692, 320, 815, 20886, 272, 267, 476, 279, 267, 476, 273, 3910, 1496, 4510, 267, 476, 4037, 267, 476, 274, 3910, 1496, 1556, 267, 476, 3451, 267, 476, 4510, 267, 476, 276, 6246, 267, 476, 3451, 3910, 1496, 31973, 6246, 267, 476, 3953, 267, 476, 276, 5325, 267, 476, 4792, 267, 476, 8287, 267, 476, 15171, 316, 6540, 454, 3698, 1587, 10734, 16742, 514, 10857, 1235, 2187, 825, 8173, 825, 901, 568, 1018, 2501, 609, 5124, 543, 1018, 594, 1131, 723, 1031, 7363, 563, 825, 8173, 825, 2132, 1592, 263, 527, 1068, 8962, 4877, 6055, 28949, 29812, 264, 9239, 3698, 1587, 318, 3438, 894, 10857, 1235, 2187, 825, 8173, 825, 901, 568, 513, 2241, 27952, 3070, 602, 594, 3357, 909, 609, 563, 825, 8173, 825, 2164, 815, 1496, 3890, 2639, 825, 585, 15410, 538, 8638, 912, 1038, 10917, 815, 11713, 1038, 585, 9864, 538, 2164, 912, 2018, 585, 3693, 538, 15410, 912, 3546, 10917, 6910, 263, 14783, 1341, 630, 324, 2211, 267, 4917, 1038, 2164, 815, 10917, 692, 825, 2132, 2164, 7531, 3698, 1587, 318, 3438, 894, 318, 10090, 1807, 10857, 1235, 2187, 825, 8173, 825, 594, 2813, 713, 1935, 607, 513, 14842, 540, 3105, 27952, 4528, 563, 825, 594, 4941, 547, 1294, 875, 513, 11718, 1935, 1223, 581, 8045, 563, 825, 8173, 825, 8638, 318, 6352, 815, 7003, 10857, 1235, 994, 825, 2164, 815, 1496, 3890, 2639, 825, 585, 15410, 538, 8638, 912, 1038, 10917, 815, 11713, 1038, 585, 9864, 538, 2164, 912, 2018, 9864, 318, 6352, 815, 7003, 263, 14783, 264, 1341, 476, 272, 454, 2018, 585, 3693, 538, 15410, 912, 3546, 952, 9864, 318, 6352, 2652, 8638, 318, 6352, 912, 7386, 6556, 9864, 1341, 630, 324, 2211, 267, 994, 3546, 3116, 912, 7386, 10917, 6910, 263, 14783, 1341, 630, 324, 2211, 267, 4917, 1038, 2164, 815, 10917, 7531, 3698, 1587, 23631, 15479, 633, 10857, 1235, 2187, 825, 8173, 825, 901, 568, 513, 2241, 25276, 6388, 602, 729, 6508, 689, 1587, 23631, 15479, 633, 318, 10090, 1807, 454, 825, 8173, 825, 952, 711, 8638, 912, 1038, 2132, 1496, 3890, 6540, 825, 1427, 1998, 815, 11713, 825, 585, 3688, 538, 1587, 23631, 15479, 633, 10857, 1235, 11468, 268, 272, 316, 2187, 1038, 585, 6221, 538, 8638, 15631, 272, 14158, 2018, 1427, 1998, 6910, 263, 19477, 1341, 630, 14403, 267, 4917, 825, 2132, 1427, 1998, 7531, 3698, 1587, 23631, 15479, 633, 318, 10090, 1807, 10857, 1235, 2187, 825, 8173, 825, 901, 568, 1018, 594, 3357, 909, 1310, 594, 1336, 856, 519, 1587, 23631, 15479, 633, 318, 10090, 1807, 318, 1260, 11772, 542, 3070, 780, 825, 16418, 532, 547, 1174, 1732, 875, 621, 1568, 594, 723, 1201, 716, 1819, 621, 883, 513, 2786, 11718, 1106, 267, 1510, 2649, 687, 563, 825, 8173, 825, 952, 711, 8638, 912, 1038, 6556, 630, 994, 825, 585, 3688, 538, 1587, 23631, 15479, 633, 318, 10090, 1807, 10857, 1235, 11468, 268, 272, 316, 2187, 1038, 952, 7003, 10857, 1235, 264, 2652, 476, 271, 912, 2018, 2736, 454, 1038, 585, 6221, 538, 8638, 15631, 272, 14158, 2018, 6556, 3688, 1341, 630, 14403, 267, 9239, 3698, 1587, 23631, 15479, 633, 318, 10090, 1807, 318, 1260, 11772, 542, 10857, 1235, 2187, 825, 8173, 825, 594, 13603, 909, 713, 6388, 12341, 1247, 3695, 519, 2898, 1966, 3323, 10578, 803, 780, 825, 901, 568, 513, 11718, 1935, 563, 825, 8173, 825, 952, 711, 8638, 912, 1038, 2132, 12055, 9230, 19572, 4917, 825, 2132, 630, 19477, 1341, 630, 14403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6624, 6671, 13049, 619, 2995, 741, 5561, 602, 2978, 29931, 730, 19987, 723, 2370, 1871, 267, 799, 568, 4625, 7301, 269, 4107, 3618, 2173, 1441, 19987, 723, 513, 759, 1446, 1871, 267, 543, 1034, 2978, 29931, 730, 19987, 786, 849, 723, 513, 2344, 1871, 269, 634, 3017, 568, 602, 3618, 2173, 1441, 19987, 616, 1455, 21113, 602, 666, 581, 11720, 539, 2687, 547, 3747, 1247, 2978, 29931, 730, 19987, 616, 711, 269, 1717, 267, 621, 568, 12691, 602, 596, 786, 2479, 1294, 2576, 9513, 2978, 29931, 730, 19987, 585, 811, 982, 789, 616, 4502, 563, 24248, 29931, 730, 19987, 798, 711, 723, 1022, 811, 610, 1447, 1871, 982, 824, 2010, 540, 19987, 269, 1358, 616, 1175, 1776, 2707, 540, 19987, 602, 666, 581, 1031, 547, 1118, 14446, 269, 634, 1152, 3017, 568, 602, 2978, 29931, 730, 19987, 616, 3335, 3677, 538, 2450, 3379, 547, 2067, 19987, 563, 1103, 3932, 267, 2978, 29931, 730, 19987, 616, 4502, 4010, 1018, 824, 2010, 540, 19987, 616, 4502, 910, 789, 616, 1175, 513, 1114, 2186, 540, 14776, 609, 922, 1378, 1305, 540, 5383, 543, 11393, 269, 1403, 596, 616, 5461, 538, 9140, 610, 9513, 2978, 29931, 730, 19987, 267, 1287, 2015, 32296, 513, 18019, 8047, 602, 1568, 609, 9925, 1564, 910, 972, 616, 1082, 971, 20682, 602, 20647, 538, 713, 1826, 540, 960, 563, 4462, 1652, 519, 14776, 568, 9765, 5944, 8966, 267, 621, 781, 5176, 2182, 547, 6133, 606, 3618, 2173, 1441, 14776, 9715, 1369, 519, 3105, 8717, 585, 811, 2724, 982, 596, 6170, 585, 621, 269, 589, 2978, 29931, 730, 14776, 602, 10742, 2872, 4441, 666, 581, 4421, 585, 607, 1454, 607, 1269, 1428, 267, 1822, 269, 1717, 1082, 5841, 19987, 616, 10032, 1282, 2504, 3157, 865, 789, 3112, 581, 759, 1245, 563, 1103, 2489, 2474, 267, 9811, 267, 2067, 19987, 798, 3180, 1871, 1317, 789, 616, 10355, 1336, 538, 2470, 609, 20924, 610, 32442, 602, 1131, 2569, 741, 5898, 269, 4746, 267, 2094, 2067, 19987, 2097, 689, 2620, 1369, 3047, 781, 12933, 267, 789, 1331, 930, 540, 519, 6886, 602, 1034, 1419, 2049, 1927, 538, 2470, 630, 7945, 607, 4154, 543, 8988, 1070, 799, 4679, 741, 4502, 269, 7053, 267, 4352, 711, 782, 2067, 19987, 616, 8449, 3407, 267, 1346, 602, 616, 1804, 2614, 547, 581, 1031, 607, 14446, 4043, 547, 581, 519, 1034, 10694, 563, 24618, 2173, 1441, 19987, 2097, 689, 2620, 1369, 519, 2666, 269, 1358, 616, 2356, 3109, 267, 855, 972, 616, 849, 2699, 543, 3043, 19987, 24776, 538, 1978, 6753, 269, 4469, 9155, 543, 2681, 725, 593, 3618, 2173, 1441, 19987, 616, 1813, 547, 2067, 3114, 2242, 602, 2049, 936, 942, 693, 5393, 1970, 5210, 269, 634, 811, 3346, 602, 14776, 814, 1185, 609, 3037, 267, 519, 811, 2693, 621, 568, 547, 723, 2627, 29565, 2583, 610, 824, 3441, 269, 18924, 4637, 13939, 689, 13719, 15183, 949, 1869, 723, 930, 1871, 267, 855, 789, 616, 1447, 4686, 543, 811, 7199, 982, 2620, 2173, 710, 19987, 563, 25565, 24776, 14776, 21625, 1419, 13587, 633, 519, 1857, 676, 6031, 602, 972, 568, 1100, 759, 1446, 2344, 585, 2978, 3766, 3497, 19987, 269, 901, 568, 11234, 269, 6997, 3812, 19987, 267, 899, 24776, 19987, 267, 723, 930, 759, 1446, 1871, 607, 513, 6871, 540, 519, 3355, 6718, 3902, 269, 1717, 267, 2978, 3766, 3497, 19987, 723, 1082, 12889, 602, 2569, 741, 1871, 267, 1519, 281, 2627, 20924, 267, 7293, 20541, 687, 267, 543, 12526, 689, 6464, 1031, 538, 741, 2504, 563, 1103, 1840, 547, 4389, 759, 1446, 1871, 267, 930, 8047, 13402, 19987, 849, 7985, 689, 1713, 9271, 1282, 2504, 269, 1280, 1383, 267, 835, 1353, 6059, 602, 519, 1942, 540, 6721, 513, 14776, 8258, 1210, 31796, 19987, 1131, 581, 811, 982, 7466, 607, 1454, 607, 952, 621, 941, 1500, 609, 2067, 10007, 269, 4746, 267, 8047, 13402, 19987, 616, 3335, 1447, 2182, 982, 2067, 19987, 267, 865, 789, 4043, 547, 6336, 1871, 936, 942, 269, 7053, 267, 8047, 14776, 5663, 3157, 3112, 3132, 1169, 2009, 3337, 610, 2450, 540, 14776, 267, 865, 1034, 6738, 19987, 786, 711, 6133, 585, 607, 1454, 607, 513, 2067, 6149, 540, 2147, 2298, 563, 8601, 891, 7687, 267, 31796, 19987, 798, 723, 930, 946, 2275, 1162, 1141, 741, 2189, 3601, 616, 4502, 12946, 538, 2247, 950, 7446, 513, 14446, 6221, 269, 1280, 1383, 267, 31796, 19987, 616, 3730, 585, 1818, 3688, 971, 607, 8405, 331, 2167, 1141, 1152, 1978, 2694, 991, 547, 581, 1360, 2312, 610, 1360, 3043, 563, 257, 291, 3554, 4637, 723, 543, 723, 513, 2344, 4502, 602, 568, 2901, 11931, 610, 9428, 936, 942, 2437, 7150, 1230, 857, 10235, 18924, 4637, 5549, 269, 13049, 518, 543, 14776, 4274, 8355, 5651, 534, 269, 1703, 568, 606, 2810, 3761, 540, 2978, 3766, 3497, 19987, 855, 711, 606, 11566, 3747, 269, 1306, 513, 1267, 267, 519, 9513, 1871, 540, 519, 2978, 3766, 3497, 14776, 11081, 269, 634, 3395, 3747, 585, 3859, 8440, 1223, 5397, 909, 519, 3902, 540, 4154, 267, 799, 568, 1031, 538, 930, 2694, 10198, 269, 769, 2489, 267, 10475, 8407, 616, 1434, 9541, 1317, 789, 4043, 547, 3180, 741, 1871, 936, 942, 563, 2691, 596, 6718, 513, 14776, 621, 3587, 707, 1434, 9939, 4062, 269, 898, 568, 1945, 602, 786, 2141, 581, 12595, 676, 1866, 607, 1134, 607, 3054, 269, 6145, 1022, 824, 5092, 267, 19987, 1058, 581, 3769, 538, 707, 2949, 2883, 1544, 543, 6719, 538, 707, 14446, 5008, 564, 563, 763, 2298, 540, 707, 14776, 9356, 519, 2298, 540, 707, 2724, 269, 589, 4057, 1268, 781, 14776, 568, 1175, 607, 3407, 607, 513, 3638, 1268, 781, 14776, 269, 8307, 538, 4686, 2665, 596, 1522, 1265, 2576, 945, 1207, 903, 513, 4224, 1317, 621, 568, 10464, 3079, 540, 7199, 267, 855, 713, 568, 8966, 269, 4107, 1004, 4782, 547, 6108, 741, 2724, 593, 824, 1919, 982, 7725, 269, 12846, 267, 2025, 15183, 798, 3132, 19987, 543, 952, 596, 1265, 835, 1287, 621, 666, 2333, 922, 1871, 269, 4746, 267, 21687, 19987, 1419, 1439, 909, 538, 7803, 10580, 543, 666, 581, 2352, 547, 3950, 1524, 269, 1809, 952, 596, 1616, 547, 6133, 707, 14776, 596, 786, 723, 547, 2628, 513, 2603, 1447, 982, 621, 781, 4502, 865, 972, 568, 1100, 1448, 538, 27560, 873, 538, 519, 1101, 1747, 563, 9989, 711, 6133, 2978, 29931, 730, 19987, 2094, 789, 29875, 782, 540, 938, 4295, 4978, 269, 1717, 267, 649, 798, 4444, 543, 6133, 4853, 19987, 689, 942, 547, 942, 563, 7212, 2978, 19987, 616, 14475, 676, 3744, 2864, 982, 4646, 538, 519, 3618, 781, 12933, 267, 789, 616, 476, 1911, 260, 4890, 19987, 609, 519, 1482, 3114, 543, 3308, 7907, 607, 2067, 19987, 269, 12207, 946, 6464, 547, 23271, 2476, 930, 540, 519, 3327, 8444, 538, 519, 4396, 4224, 543, 1287, 3002, 543, 2046, 519, 6967, 8869, 883, 6094, 9212, 602, 1413, 899, 14776, 8874, 563, 763, 2472, 602, 2097, 689, 713, 1184, 616, 1572, 834, 18350, 257, 610, 834, 325, 1112, 25875, 257, 19987, 269, 1358, 616, 1500, 909, 540, 6986, 3327, 543, 616, 782, 8449, 3407, 269, 634, 1152, 3017, 1063, 1483, 543, 2978, 19987, 568, 602, 519, 8545, 798, 711, 2049, 538, 2470, 563, 20332, 19987, 2270, 23606, 971, 607, 9436, 543, 5135, 602, 1267, 689, 741, 5250, 2620, 1369, 519, 3618, 781, 25136, 269, 1452, 2609, 666, 2272, 585, 811, 982, 476, 4200, 269, 280, 260, 540, 741, 2527, 269, 634, 6967, 476, 271, 269, 272, 260, 568, 1500, 909, 540, 824, 6886, 971, 607, 13339, 267, 4401, 267, 7513, 267, 11956, 267, 13101, 267, 11379, 267, 16903, 267, 16247, 543, 15244, 540, 13058, 543, 7601, 563, 291, 3554, 4637, 616, 519, 23698, 6878, 538, 519, 1158, 269, 901, 3959, 2306, 873, 3730, 585, 5969, 2645, 267, 16590, 11353, 267, 31009, 267, 543, 824, 7405, 269, 4634, 1498, 789, 616, 4625, 812, 13402, 267, 2978, 19987, 616, 1031, 538, 1382, 20682, 1472, 519, 1158, 1317, 789, 616, 9838, 547, 2067, 19987, 538, 2681, 267, 2298, 267, 543, 19454, 563, 24248, 8566, 3497, 18924, 4637, 616, 513, 14068, 20971, 634, 2029, 568, 4195, 267, 1166, 553, 1506, 267, 543, 3902, 344, 269, 5015, 267, 1317, 2978, 3766, 3497, 19987, 616, 711, 13113, 899, 1483, 19987, 267, 972, 568, 1100, 22059, 602, 789, 786, 11677, 1022, 1871, 538, 519, 2104, 1317, 3761, 786, 2141, 581, 726, 550, 3814, 563, 763, 3395, 8560, 540, 2978, 3766, 3497, 14446, 814, 3366, 930, 547, 2243, 2436, 891, 10007, 616, 4502, 10115, 538, 269, 2755, 621, 568, 3020, 602, 789, 616, 811, 10097, 982, 1483, 19987, 267, 713, 5413, 786, 27298, 936, 942, 607, 519, 1942, 540, 5663, 873, 4422, 909, 269, 769, 1249, 267, 835, 1353, 6059, 602, 519, 3902, 540, 2978, 3766, 3497, 19987, 1131, 723, 547, 6749, 676, 827, 3368, 1354, 789, 941, 3160, 538, 1871, 547, 2067, 3283, 563, 2467, 616, 849, 2825, 4145, 609, 1210, 8093, 10173, 585, 14776, 2504, 269, 7053, 267, 972, 568, 1100, 1259, 547, 1852, 875, 1004, 946, 741, 2978, 3766, 3497, 9925, 1564, 865, 789, 666, 581, 26884, 610, 4503, 269, 1280, 1383, 267, 2576, 1223, 1491, 873, 1055, 543, 12235, 873, 2476, 1256, 1310, 789, 723, 1044, 12816, 585, 1896, 3108, 610, 2395, 269, 1703, 616, 849, 5359, 540, 21687, 3688, 1373, 4421, 593, 519, 3109, 2344, 563, 1103, 3932, 267, 2978, 3766, 3497, 9925, 1564, 616, 711, 4502, 10115, 538, 1317, 789, 616, 1932, 7199, 267, 1932, 17866, 267, 543, 3668, 1022, 759, 1446, 1871, 269, 1358, 949, 849, 581, 1031, 547, 3132, 824, 2472, 630, 7945, 607, 11418, 264, 799, 616, 811, 19311, 982, 14446, 269, 0, 6701, 596, 3168, 585, 519, 18527, 15873, 476, 1428, 9943, 1428, 17074, 286, 1403, 9811, 1287, 2638, 856, 519, 12125, 2630, 543, 4647, 513, 5078, 835, 585, 707, 946, 269, 1411, 666, 4647, 513, 5750, 689, 1934, 538, 7300, 3898, 269, 4804, 8691, 7515, 568, 1898, 547, 2417, 4194, 1950, 6310, 2042, 269, 18527, 568, 835, 971, 1888, 602, 2501, 538, 13561, 538, 1554, 3562, 6377, 1272, 607, 1134, 269, 4475, 267, 1169, 4819, 1590, 1451, 610, 1174, 519, 9238, 540, 8691, 269, 18227, 602, 883, 7156, 267, 1934, 649, 723, 3838, 3349, 12125, 602, 616, 3730, 585, 1565, 7515, 269, 1284, 723, 6836, 547, 1683, 10477, 3349, 12125, 602, 3214, 949, 899, 563, 13425, 856, 519, 6402, 2630, 547, 4647, 811, 3349, 12125, 3248, 268, 18527, 15873, 476, 276, 9943, 276, 454, 268, 18527, 15873, 476, 279, 9943, 279, 454, 268, 18527, 15873, 476, 280, 9943, 280, 454, 268, 18527, 15873, 476, 1015, 9943, 1015, 454, 268, 18527, 15873, 476, 1321, 9943, 1321, 454, 268, 18527, 15873, 476, 1428, 9943, 1428, 454, 268, 18527, 15873, 476, 736, 9943, 736, 454, 268, 18527, 15873, 476, 1911, 9943, 1911, 454, 19530, 762, 18527, 15873, 476, 1428, 9943, 1428, 454, 1428, 1635, 476, 1428, 18527, 15873, 15026, 454, 3086, 972, 568, 1100, 991, 547, 3406, 1934, 543, 972, 610, 6718, 12125, 689, 519, 2344, 269, 1452, 2228, 3349, 12125, 8532, 1360, 1447, 2230, 593, 707, 2780, 610, 1022, 3926, 269, 3371, 596, 666, 1294, 513, 4015, 540, 8691, 12125, 476, 1428, 9943, 1428, 2139, 585, 1863, 4647, 585, 1312, 1053, 543, 3610, 269, 25175, 666, 1205, 610, 1820, 519, 3349, 12125, 3362, 538, 1022, 2450, 540, 9212, 607, 829, 741, 2115, 563, 25648, 6473, 15873, 476, 1428, 9943, 1428, 8018, 454, 288, 4976, 568, 835, 971, 5750, 602, 596, 1590, 4647, 269, 4804, 568, 18106, 1510, 1697, 2259, 267, 4061, 267, 798, 2638, 856, 519, 4976, 2630, 543, 4647, 621, 585, 2259, 5301, 269, 14268, 610, 3610, 949, 946, 713, 4976, 547, 1449, 3214, 685, 8691, 1983, 269, 8437, 593, 519, 4647, 3095, 2630, 547, 4647, 713, 4976, 538, 7824, 3898, 269, 1411, 666, 1491, 513, 1820, 13050, 540, 519, 4976, 1310, 23842, 621, 563, 7922, 1678, 18527, 15873, 476, 1428, 9943, 1428, 454, 288, 7792, 5750, 568, 2653, 547, 4163, 543, 946, 267, 713, 568, 1946, 1004, 891, 2395, 723, 3323, 1210, 873, 269, 1403, 596, 899, 7792, 12125, 1287, 4647, 621, 689, 1934, 543, 1491, 513, 1820, 13050, 585, 707, 946, 563, 19350, 596, 666, 1294, 6402, 547, 4647, 811, 3730, 8691, 3349, 12125, 3248, 268, 18527, 7305, 476, 272, 476, 1015, 454, 268, 18527, 7305, 476, 272, 476, 1321, 454, 268, 18527, 7305, 476, 272, 476, 1428, 454, 268, 18527, 7305, 476, 272, 476, 736, 454, 268, 18527, 7305, 476, 272, 476, 1839, 454, 268, 18527, 7305, 476, 272, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20826, 476, 2764, 628, 568, 16033, 730, 12422, 607, 2622, 15887, 625, 4303, 269, 901, 1554, 5713, 607, 513, 3760, 585, 22745, 11044, 267, 7341, 676, 27013, 267, 1514, 2923, 32398, 267, 543, 824, 4656, 3292, 607, 851, 540, 519, 29811, 6604, 5397, 269, 634, 2518, 29811, 2146, 267, 538, 1880, 267, 4249, 513, 11358, 1909, 538, 21528, 2950, 547, 8396, 713, 2068, 543, 9870, 4656, 593, 519, 3486, 3760, 454, 13328, 15887, 625, 4303, 476, 1708, 275, 27484, 454, 4131, 779, 2263, 519, 2442, 4798, 2404, 609, 4139, 15887, 625, 4303, 936, 519, 2250, 1906, 1296, 912, 268, 634, 2622, 15887, 625, 4303, 476, 1708, 275, 6249, 568, 2943, 547, 581, 4956, 563, 268, 634, 6249, 585, 476, 1708, 274, 729, 968, 5472, 585, 476, 272, 267, 2290, 2657, 585, 782, 3034, 268, 769, 476, 1708, 273, 267, 519, 6249, 729, 968, 305, 28320, 281, 2290, 2657, 267, 20023, 12280, 338, 3034, 268, 634, 6249, 585, 476, 1708, 272, 729, 968, 305, 28320, 281, 12700, 267, 711, 21824, 3034, 268, 1280, 476, 1708, 271, 267, 519, 1445, 729, 593, 968, 17484, 15887, 625, 281, 11622, 622, 267, 17261, 3729, 3034, 268, 769, 476, 1001, 280, 267, 519, 6249, 13671, 593, 968, 305, 28320, 281, 17261, 3729, 547, 9004, 2223, 10771, 519, 13766, 540, 1697, 12674, 585, 10130, 267, 2523, 666, 1149, 563, 268, 476, 1001, 279, 1185, 513, 6626, 6249, 267, 968, 305, 28320, 281, 9523, 519, 5048, 267, 4688, 513, 1272, 2223, 8716, 7839, 4656, 543, 2069, 563, 268, 634, 4241, 6249, 585, 476, 1001, 278, 729, 968, 305, 28320, 281, 20023, 676, 476, 1789, 2223, 13389, 22578, 29811, 6604, 609, 519, 3804, 540, 10678, 519, 2068, 676, 476, 10711, 271, 563, 2026, 649, 4283, 476, 1708, 275, 267, 649, 7618, 6000, 602, 519, 3804, 540, 29811, 17594, 814, 1776, 8717, 547, 979, 269, 6554, 4703, 1590, 12840, 609, 1582, 25298, 2516, 267, 2199, 267, 3084, 267, 543, 3486, 3906, 547, 3927, 9004, 29811, 269, 634, 1699, 1032, 779, 6249, 3922, 3278, 2921, 3617, 3800, 547, 26699, 519, 3262, 540, 29811, 1318, 689, 922, 2707, 563, 14532, 540, 2622, 15887, 625, 4303, 454, 763, 22305, 1116, 11812, 3576, 1747, 593, 5181, 476, 279, 628, 267, 476, 1220, 278, 269, 901, 2680, 729, 513, 5698, 1063, 519, 19137, 585, 15887, 625, 6513, 543, 519, 10418, 585, 8376, 6513, 543, 10644, 267, 7330, 563, 1103, 11450, 609, 519, 2622, 2657, 9257, 630, 21766, 1070, 891, 7616, 9988, 267, 2059, 609, 519, 2622, 9257, 585, 10960, 2657, 543, 1082, 824, 3906, 267, 941, 519, 23806, 538, 27510, 513, 1554, 6131, 547, 9870, 4656, 585, 1312, 1480, 543, 3662, 29811, 563, 3963, 568, 2622, 15887, 625, 4303, 18270, 730, 888, 5141, 846, 547, 476, 2568, 267, 1822, 1004, 13151, 3518, 547, 713, 23487, 539, 2068, 12422, 538, 2518, 7194, 267, 609, 896, 16467, 539, 3979, 6082, 1373, 930, 540, 519, 7887, 9601, 269, 3127, 5359, 5176, 476, 736, 267, 1822, 7972, 607, 1134, 563, 10890, 3906, 5001, 723, 9859, 741, 3646, 2509, 9013, 713, 2068, 269, 1358, 4076, 1305, 909, 2518, 6887, 547, 2061, 543, 6895, 519, 2783, 267, 3950, 17061, 538, 4299, 2950, 267, 543, 9772, 15324, 3800, 547, 30817, 621, 563, 23895, 14896, 725, 1472, 29811, 6604, 5097, 1445, 593, 12674, 13122, 269, 7136, 7589, 543, 22742, 2621, 1404, 513, 11358, 1909, 538, 891, 16873, 269, 3057, 25070, 8255, 267, 23032, 676, 1072, 10909, 543, 18915, 2516, 267, 849, 3565, 547, 519, 1554, 779, 7908, 8481, 563, 8448, 2609, 540, 519, 11812, 1331, 7688, 19194, 267, 1557, 1603, 2621, 267, 2046, 19014, 267, 11042, 609, 4966, 538, 519, 2361, 267, 11564, 547, 4620, 1416, 7740, 267, 18915, 4656, 11044, 267, 543, 1187, 2238, 693, 3506, 543, 3872, 5238, 563, 13328, 15887, 625, 4303, 476, 1708, 275, 19043, 454, 7197, 1004, 5001, 616, 711, 3222, 540, 519, 29811, 2068, 267, 922, 1764, 593, 3425, 543, 2831, 267, 543, 519, 2556, 3527, 547, 1491, 950, 24931, 519, 2068, 269, 15887, 625, 568, 26438, 998, 782, 11864, 267, 2523, 3552, 2831, 269, 5181, 476, 2764, 628, 6585, 4644, 538, 2564, 1686, 607, 621, 7436, 519, 2669, 16683, 540, 8402, 30854, 584, 563, 2252, 596, 2461, 11842, 945, 8402, 30854, 584, 568, 267, 649, 4927, 2491, 538, 1469, 269, 1261, 729, 519, 5075, 776, 3297, 513, 14634, 6602, 1107, 519, 29811, 6669, 269, 30854, 584, 729, 519, 1101, 547, 1353, 519, 6604, 540, 29811, 543, 25666, 513, 5078, 3070, 585, 922, 10826, 269, 901, 2565, 1554, 5713, 607, 606, 522, 1372, 547, 713, 3735, 22082, 267, 543, 1010, 9058, 960, 568, 4502, 4687, 609, 519, 1158, 563, 16352, 606, 1719, 538, 1732, 1416, 585, 2831, 543, 513, 2596, 1620, 540, 21365, 8801, 3871, 899, 29811, 666, 979, 513, 1279, 1259, 538, 8156, 519, 2068, 269, 16721, 1563, 1145, 267, 13745, 609, 519, 6351, 540, 3782, 8387, 267, 568, 849, 1898, 547, 30817, 519, 12136, 540, 519, 2068, 676, 519, 1032, 476, 10711, 271, 269, 0, 26780, 267, 519, 7524, 3854, 540, 519, 2136, 8003, 267, 568, 12021, 585, 922, 11599, 21056, 267, 3638, 1686, 267, 543, 3309, 2528, 269, 1717, 267, 835, 2243, 602, 1419, 14340, 538, 7391, 1851, 1312, 17137, 543, 14666, 568, 267, 968, 9989, 621, 2965, 6777, 538, 5507, 18313, 763, 700, 1731, 9685, 540, 16176, 6420, 538, 5507, 454, 306, 852, 6420, 538, 5507, 4523, 12212, 267, 609, 519, 5162, 3275, 1373, 519, 1034, 2693, 942, 585, 621, 269, 2755, 6777, 568, 711, 513, 1455, 8289, 538, 5507, 267, 972, 723, 1044, 8320, 540, 1713, 6777, 6420, 538, 519, 2250, 267, 2870, 513, 4190, 543, 28677, 6429, 538, 519, 2749, 269, 6736, 922, 678, 10846, 267, 950, 6777, 1281, 2887, 267, 621, 8591, 513, 9589, 5905, 547, 5507, 779, 2907, 22539, 5790, 269, 1924, 267, 4352, 621, 949, 711, 581, 513, 2834, 12136, 267, 5507, 619, 543, 8436, 666, 1869, 4126, 585, 513, 20057, 548, 540, 6777, 1282, 519, 21617, 3275, 540, 519, 1032, 563, 26502, 14118, 9760, 16176, 6420, 538, 5507, 454, 2467, 616, 1896, 2188, 602, 3565, 547, 519, 12136, 540, 6777, 6420, 538, 5507, 269, 2290, 540, 519, 1034, 1713, 2188, 568, 519, 2837, 543, 1808, 4365, 3270, 538, 519, 2749, 269, 634, 2837, 4249, 513, 2629, 1909, 538, 8159, 2436, 621, 786, 6777, 610, 711, 269, 1879, 519, 2837, 12772, 2630, 16171, 1448, 267, 972, 568, 513, 2362, 4960, 540, 6777, 6420, 538, 5507, 269, 3958, 267, 519, 4365, 3270, 543, 11626, 2175, 849, 3310, 519, 10171, 540, 6777, 269, 15742, 4365, 3270, 267, 971, 607, 4411, 18651, 1206, 610, 1970, 25774, 1949, 267, 666, 3142, 7509, 543, 4411, 2011, 267, 2870, 519, 3501, 2175, 585, 6777, 6420, 269, 1452, 2188, 5916, 960, 1927, 547, 3313, 2436, 5507, 786, 581, 4988, 538, 513, 4190, 3043, 24120, 540, 6777, 563, 23208, 16176, 6420, 538, 5507, 454, 2691, 621, 2501, 547, 6777, 6420, 267, 5507, 814, 1185, 922, 4023, 2671, 540, 12300, 2621, 2429, 1686, 269, 2755, 24475, 538, 519, 2749, 616, 3622, 7646, 267, 6777, 6420, 1281, 2049, 689, 942, 547, 942, 269, 19475, 5815, 602, 593, 3328, 267, 5507, 2833, 6777, 6420, 5111, 476, 280, 2395, 829, 1032, 563, 4913, 267, 519, 4908, 540, 6777, 6420, 666, 4268, 7494, 689, 1032, 547, 1032, 269, 1280, 1383, 267, 538, 519, 5162, 540, 476, 1001, 271, 267, 5507, 729, 5734, 676, 513, 3226, 5230, 6777, 10445, 602, 22314, 6283, 267, 3361, 1153, 5008, 999, 267, 543, 1500, 24657, 2066, 519, 2197, 269, 901, 2680, 267, 1634, 607, 519, 968, 19136, 5131, 2763, 2223, 4547, 519, 2749, 547, 513, 1796, 560, 650, 543, 2451, 513, 9434, 1764, 593, 922, 7264, 563, 1103, 1840, 547, 519, 968, 19136, 5131, 2763, 2223, 972, 723, 1044, 824, 8037, 6777, 6420, 2621, 538, 5507, 269, 2290, 971, 2680, 7018, 538, 476, 3422, 273, 268, 3422, 274, 267, 950, 519, 2749, 4810, 513, 12675, 1974, 540, 3665, 4411, 543, 5230, 6777, 6420, 269, 901, 4049, 5162, 267, 1634, 607, 519, 968, 15124, 5131, 2763, 2223, 8507, 538, 7839, 14784, 543, 1713, 2591, 585, 1312, 7264, 543, 519, 2749, 779, 5989, 563, 5194, 12300, 6777, 6420, 2680, 3576, 1747, 538, 476, 3192, 279, 268, 3192, 280, 267, 950, 5507, 729, 5734, 676, 1896, 5230, 6777, 28323, 269, 1452, 15420, 711, 1152, 22314, 3232, 1272, 855, 849, 3361, 17799, 543, 23545, 725, 538, 2011, 543, 7841, 2951, 269, 634, 2749, 729, 9927, 883, 513, 5162, 4898, 1633, 267, 3246, 1312, 10761, 543, 2591, 585, 922, 11317, 563, 763, 28620, 540, 16176, 6420, 538, 5507, 454, 306, 852, 6420, 538, 5507, 814, 1713, 5222, 593, 1585, 3344, 540, 3232, 1272, 543, 519, 2749, 779, 5989, 269, 2290, 540, 519, 1034, 7298, 543, 26688, 2360, 568, 593, 519, 6283, 1949, 267, 4929, 17799, 543, 23545, 725, 540, 19426, 267, 21772, 267, 543, 14884, 269, 1452, 21463, 666, 1711, 14784, 538, 519, 2749, 267, 7133, 862, 26407, 543, 17631, 7567, 269, 634, 31868, 2044, 9897, 543, 4389, 15287, 1813, 547, 6777, 6420, 1118, 621, 4101, 585, 6472, 547, 7500, 9108, 267, 3056, 547, 10913, 543, 2417, 7623, 532, 519, 6283, 2152, 563, 27609, 532, 585, 16176, 538, 5507, 454, 26780, 779, 3210, 547, 6777, 6420, 2882, 1585, 3800, 547, 2327, 519, 2749, 666, 1599, 12347, 563, 306, 852, 7581, 2130, 543, 717, 761, 1154, 30332, 454, 763, 2749, 8128, 538, 5507, 1491, 14942, 3268, 547, 10994, 6777, 6420, 543, 2226, 519, 3106, 540, 9897, 543, 31355, 2127, 1282, 6777, 344, 2175, 269, 16176, 21757, 543, 27497, 1154, 5773, 616, 2322, 538, 1747, 547, 7413, 519, 1764, 540, 6777, 593, 6283, 543, 2061, 10913, 543, 21463, 563, 763, 6777, 21757, 1184, 3322, 519, 946, 540, 6777, 726, 3298, 543, 27497, 1562, 267, 799, 616, 6472, 2966, 547, 2312, 6777, 689, 9897, 543, 20057, 548, 4224, 6070, 610, 27497, 547, 15835, 4672, 543, 2333, 20086, 269, 1452, 6472, 616, 21825, 18611, 2066, 519, 2749, 547, 3382, 2101, 9897, 267, 1668, 11507, 267, 543, 31355, 3802, 1811, 269, 3958, 267, 519, 8128, 4225, 1569, 547, 1883, 6753, 971, 607, 10506, 267, 6595, 2533, 267, 543, 1857, 6283, 32387, 563, 292, 2310, 11558, 543, 2792, 1404, 513, 2565, 1909, 538, 5507, 779, 6777, 21757, 3646, 269, 634, 2749, 8128, 5702, 6895, 4365, 23004, 547, 3251, 5483, 827, 1761, 6777, 6420, 269, 1358, 12840, 609, 14368, 1670, 2533, 547, 3313, 519, 3617, 942, 547, 11766, 27497, 1154, 6472, 543, 2327, 22026, 538, 2013, 540, 5230, 6777, 6420, 269, 6176, 3823, 4155, 2175, 267, 5008, 999, 267, 543, 4244, 11507, 568, 3838, 609, 519, 1857, 998, 1585, 9055, 267, 1519, 6131, 7270, 543, 1514, 2923, 5867, 563, 1103, 1931, 547, 2226, 519, 4398, 540, 6777, 21757, 5773, 267, 5507, 814, 11280, 1808, 11507, 585, 6777, 680, 3298, 543, 27497, 1562, 269, 1452, 24441, 11507, 3382, 1898, 6283, 6402, 543, 1164, 13652, 1553, 2127, 267, 7175, 519, 8128, 547, 2312, 6777, 3533, 543, 3927, 269, 5047, 267, 519, 2749, 7683, 8039, 543, 10311, 891, 11507, 547, 3082, 547, 4657, 6808, 3270, 543, 2232, 1022, 6932, 2115, 563, 26780, 619, 616, 849, 9415, 547, 1404, 741, 851, 538, 8600, 585, 6777, 269, 634, 2749, 1443, 2478, 7264, 543, 4213, 547, 723, 741, 1378, 6777, 21757, 3937, 267, 971, 607, 15524, 12069, 543, 6070, 267, 547, 2312, 6777, 689, 741, 5397, 1811, 543, 11444, 269, 901, 10319, 4674, 5849, 602, 1312, 1857, 5624, 543, 4357, 3601, 616, 2922, 543, 3015, 1282, 6777, 344, 2175, 563, 14454, 267, 5507, 779, 3102, 6777, 21757, 543, 27497, 1154, 5773, 6542, 519, 2749, 779, 7029, 547, 4180, 519, 3106, 543, 10342, 540, 922, 6283, 1062, 543, 31355, 2127, 267, 1256, 538, 519, 3068, 540, 4101, 4365, 2175, 563, 14188, 596, 585, 11836, 721, 593, 713, 6777, 344, 3460, 998, 519, 11580, 540, 5507, 779, 5162, 4365, 256, 1284, 4126, 596, 4076, 10150, 26500, 519, 4241, 1158, 540, 14368, 1108, 543, 11543, 513, 4514, 1620, 540, 875, 713, 22539, 2749, 21810, 896, 513, 24120, 540, 6777, 269, 3245, 519, 9589, 6777, 4148, 1389, 602, 7544, 538, 519, 2011, 547, 519, 28677, 8916, 602, 19799, 519, 11614, 543, 10754, 267, 5507, 5963, 3587, 513, 5162, 4898, 1633, 1282, 713, 4005, 269, 1924, 267, 1985, 942, 596, 1265, 3054, 11303, 676, 6777, 4148, 1389, 9900, 9991, 689, 519, 6607, 267, 1491, 513, 4090, 547, 5660, 519, 5898, 543, 4898, 602, 5507, 779, 5162, 814, 547, 2709, 269, 13773, 3636, 543, 1832, 3695 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18411, 2237, 513, 1982, 602, 14509, 606, 8870, 454, 15893, 543, 16493, 922, 3105, 543, 1985, 2338, 563, 8450, 519, 1806, 2630, 585, 519, 3169, 3898, 707, 4267, 1058, 1491, 563, 2467, 12582, 1405, 581, 513, 2230, 1354, 519, 1974, 563, 18257, 692, 6112, 263, 12148, 2187, 825, 1297, 815, 703, 9272, 3488, 8923, 1683, 8870, 281, 1412, 4917, 825, 952, 11196, 1911, 1822, 271, 2999, 1297, 2999, 476, 1911, 1822, 2187, 1038, 1820, 3488, 9202, 281, 1038, 15079, 8339, 8971, 28840, 266, 272, 4917, 1038, 1820, 3488, 28095, 281, 825, 15079, 8339, 8971, 28840, 268, 272, 4917, 1038, 2736, 3248, 825, 3116, 912, 1038, 1820, 3488, 8923, 267, 1683, 1297, 910, 1911, 1822, 271, 2999, 24177, 15893, 9563, 2999, 476, 1911, 1822, 17210, 0, 18411, 11693, 513, 2318, 1483, 1297, 2676, 2745, 922, 1101, 7857, 540, 27847, 851, 563, 18257, 7531, 15893, 815, 10581, 9272, 3488, 8923, 267, 1683, 1483, 1297, 281, 1412, 4917, 15893, 2414, 21803, 815, 1193, 28840, 2020, 604, 630, 8339, 262, 538, 1297, 2414, 21803, 2187, 825, 7329, 343, 815, 1297, 2414, 21803, 26098, 3488, 269, 5073, 825, 1820, 3488, 293, 3555, 531, 851, 281, 15079, 8339, 8971, 28840, 2414, 21803, 314, 30915, 266, 272, 281, 30915, 266, 273, 28413, 12828, 912, 825, 1820, 3488, 293, 3555, 531, 851, 1281, 711, 6818, 5073, 0, 5035, 25609, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 1826, 267, 2450, 2187, 1038, 1582, 269, 6943, 815, 1826, 454, 1038, 1582, 25915, 815, 2450, 692, 825, 1219, 2677, 13062, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 269, 6943, 348, 814, 513, 2450, 540, 2433, 346, 1345, 25915, 348, 15419, 28128, 4537, 1901, 815, 25609, 2891, 338, 13645, 2580, 476, 3393, 994, 2745, 263, 28128, 4537, 1901, 269, 5327, 13062, 3890, 9239, 5035, 25351, 4120, 263, 4537, 16747, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 4463, 267, 8700, 2187, 1038, 1582, 269, 515, 580, 628, 815, 4463, 454, 1038, 1582, 9884, 5954, 815, 8700, 692, 825, 1219, 1858, 4311, 2187, 1038, 1267, 815, 1582, 269, 515, 580, 628, 2608, 1582, 9884, 5954, 454, 1038, 1820, 6600, 257, 346, 14310, 348, 568, 519, 1858, 540, 513, 13551, 15419, 28128, 305, 624, 815, 25351, 4120, 263, 278, 267, 276, 994, 28128, 305, 624, 269, 19327, 30800, 5035, 12384, 263, 4537, 16747, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 4463, 267, 8700, 2187, 1038, 1582, 269, 515, 580, 628, 815, 4463, 454, 1038, 1582, 9884, 5954, 815, 8700, 692, 825, 1219, 1858, 4311, 2187, 1038, 1267, 815, 1582, 269, 515, 580, 628, 2608, 1582, 9884, 5954, 454, 1038, 1820, 6600, 257, 346, 14310, 348, 568, 519, 1858, 540, 513, 4009, 15419, 28128, 306, 336, 815, 12384, 263, 1321, 267, 280, 994, 28128, 306, 336, 269, 19327, 30800, 5035, 17781, 263, 4537, 16747, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8953, 2187, 1038, 1582, 269, 571, 706, 529, 815, 8953, 7531, 825, 1219, 1858, 4311, 2187, 1038, 1267, 815, 476, 274, 269, 1691, 2608, 1582, 269, 571, 706, 529, 2878, 273, 454, 1038, 1820, 6600, 257, 346, 14310, 348, 568, 519, 1858, 540, 513, 5858, 15419, 28128, 24979, 815, 17781, 263, 1015, 994, 28128, 24979, 269, 19327, 30800, 5035, 21121, 263, 4537, 16747, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 3490, 267, 4463, 2187, 1038, 1582, 12500, 848, 815, 3490, 454, 1038, 1582, 269, 19417, 815, 4463, 692, 825, 1219, 1858, 4311, 2187, 1038, 1267, 815, 476, 271, 269, 276, 2608, 1582, 12500, 848, 2608, 1582, 269, 19417, 454, 1038, 1820, 6600, 257, 346, 14310, 348, 568, 519, 1858, 540, 513, 6906, 15419, 28128, 23871, 815, 21121, 263, 1015, 267, 276, 994, 28128, 23871, 269, 19327, 4590, 0, 5228, 3631, 1104, 5441, 267, 2160, 1948, 16930, 4534, 952, 596, 1185, 513, 700, 5588, 596, 1522, 1104, 27661, 5228, 24563, 1104, 8400, 267, 2332, 5091, 321, 7531, 8181, 5091, 321, 4590, 258, 901, 1281, 519, 4276, 782, 538, 835, 1900, 454, 258, 2991, 649, 798, 602, 2596, 14764, 267, 621, 568, 631, 308, 6224, 4443, 270, 529, 2009, 547, 7696, 1239, 1210, 519, 3009, 649, 4312, 3710, 909, 563, 692, 258, 23453, 513, 6280, 883, 519, 6538, 910, 538, 519, 6280, 3349, 692, 258, 3689, 1711, 606, 3236, 540, 938, 2203, 2160, 4534, 3592, 4947, 2407, 5858, 454, 2908, 318, 27376, 815, 2160, 28442, 8782, 17206, 540, 4993, 910, 20588, 3299, 5115, 13369, 284, 13136, 876, 267, 331, 6327, 6889, 29155, 18403, 267, 11404, 5602, 338, 11970, 14491, 28956, 318, 27376, 264, 1948, 589, 2603, 899, 519, 575, 527, 1039, 2856, 454, 338, 11970, 2593, 2466, 10797, 2908, 22674, 5076, 815, 5441, 28442, 6889, 328, 18662, 2580, 5115, 13369, 284, 1220, 271, 267, 684, 1751, 284, 2908, 318, 27376, 264, 1948, 898, 2731, 568, 602, 2653, 454, 258, 3807, 723, 547, 581, 6297, 649, 2811, 2901, 454, 258, 4534, 1210, 2783, 1023, 454, 258, 4534, 1373, 2731, 6297, 827, 1018, 3009, 547, 2196, 1341, 10148, 538, 938, 28203, 454, 258, 538, 1931, 547, 2057, 9748, 543, 9748, 540, 26134, 7696, 687, 883, 938, 7515, 454, 338, 11970, 14491, 28956, 22674, 5076, 994, 338, 11970, 2593, 2466, 4590, 258, 29313, 18306, 19611, 910, 2242, 596, 1118, 3842, 519, 14069, 924, 24766, 11422, 1810, 1405, 5963, 1491, 1198, 11014, 2394, 596, 2608, 338, 1511, 265, 519, 2242, 1500, 538, 519, 11422, 563, 258, 1403, 596, 723, 519, 24766, 645, 4900, 518, 1930, 543, 4448, 547, 513, 6538, 267, 596, 4465, 1405, 581, 2111, 547, 2196, 3009, 1210, 513, 24563, 29140, 267, 1317, 519, 6538, 666, 1152, 723, 835, 4276, 269, 898, 781, 899, 950, 596, 1930, 513, 3758, 538, 513, 1982, 543, 1810, 1405, 2673, 621, 267, 596, 666, 1405, 1930, 621, 1586, 1862, 21955, 1631, 3388, 593, 519, 2780, 602, 666, 1569, 519, 24563, 568, 4730, 519, 14165, 673, 3014, 267, 711, 1175, 835, 1982, 780, 258, 10691, 292, 4534, 1403, 649, 1616, 547, 1039, 513, 2852, 585, 513, 6280, 9338, 3918, 4696, 312, 972, 630, 25669, 267, 1354, 713, 1982, 729, 2854, 267, 799, 568, 1114, 689, 602, 1007, 318, 27376, 799, 568, 2813, 5442, 519, 1982, 264, 4534, 649, 723, 547, 798, 513, 13214, 547, 2638, 952, 621, 6818, 543, 1287, 3277, 547, 602, 3236, 454, 258, 8111, 798, 268, 762, 2336, 258, 1809, 1101, 267, 1577, 781, 1175, 798, 713, 4534, 649, 3513, 1683, 3606, 2200, 602, 1397, 1806, 899, 602, 267, 543, 949, 1205, 513, 4960, 547, 2911, 827, 621, 2661, 2439, 692, 258, 570, 7495, 302, 910, 5410, 811, 9945, 543, 12621, 547, 519, 1239, 2336, 258, 5565, 1007, 9945, 454, 258, 2290, 2852, 585, 1142, 2439, 258, 6056, 827, 1603, 519, 3009, 267, 1287, 2196, 621, 543, 1449, 621, 856, 780, 258, 5213, 1405, 5855, 8627, 952, 596, 1711, 5918, 27289, 585, 1631, 256, 2859, 1271, 547, 1711, 1945, 547, 1039, 547, 24563, 7515, 2336, 0, 3698, 4194, 9272, 2187, 825, 1250, 291, 1112, 815, 31460, 825, 585, 1775, 538, 3403, 912, 1038, 952, 9217, 538, 1250, 291, 1112, 2187, 1038, 1948, 604, 30044, 291, 1112, 14857, 935, 13935, 9191, 328, 264, 2567, 8931, 2018, 1250, 291, 1112, 5157, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1250, 291, 1112, 5157, 316, 815, 476, 272, 454, 825, 1820, 30044, 291, 1112, 2020, 338, 9876, 8443, 257, 13906, 14824, 13906, 14824, 27594, 257, 7481, 0, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 5814, 26417, 692, 258, 1535, 267, 586, 815, 5286, 269, 2903, 339, 868, 18692, 258, 672, 1412, 11907, 27406, 22779, 258, 672, 1642, 574, 3438, 284, 12887, 2676, 258, 672, 10002, 871, 18989, 454, 258, 25589, 258, 1820, 3287, 994, 258, 1820, 12169, 994, 258, 12301, 19502, 3287, 11971, 994, 258, 12301, 20481, 10797, 343, 17342, 2639, 344, 17342, 2639, 5976, 1930, 3488, 11907, 27406, 12887, 337, 10807, 607, 3611, 27495, 912, 825, 1239, 815, 26417, 18667, 518, 5560, 520, 27495, 994, 825, 585, 1775, 538, 1239, 912, 1038, 1535, 6910, 17301, 9217, 314, 271, 28413, 1038, 586, 6910, 17301, 9217, 314, 272, 8079, 2020, 2745, 3287, 994, 2745, 12169, 994, 10823, 19502, 3287, 11971, 994, 10823, 20481, 3890, 0, 5814, 556, 476, 1948, 1104, 585, 556, 613, 343, 454, 5814, 14854, 476, 1948, 1104, 585, 14854, 692, 258, 25159, 692, 18851, 513, 815, 476, 276, 454, 2745, 5416, 2020, 321, 815, 834, 15916, 4840, 2745, 6357, 2020, 322, 815, 6936, 454, 2745, 6262, 264, 29185, 258, 2608, 1607, 568, 513, 4009, 454, 18851, 11849, 7773, 4671, 31103, 815, 14854, 11053, 31103, 4590, 1662, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 1662, 7773, 4671, 31103, 16192, 263, 3445, 994, 1662, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 1662, 7773, 4671, 31103, 16192, 263, 3445, 994, 1662, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 1662, 7773, 4671, 31103, 16192, 263, 3445, 994, 1662, 7773, 4671, 31103, 269, 3453, 263, 1911, 264, 8173, 258, 2608, 1607, 2306, 513, 4009, 4216, 676, 5373, 513, 1899, 692, 258, 12793, 454, 18257, 3097, 1662, 7773, 4671, 31103, 815, 14854, 11053, 31103, 4590, 1662, 7773, 4671, 31103, 4732, 32497, 263, 272, 9239, 3698, 4009, 10031, 825, 11849, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 825, 11849, 7773, 4671, 31103, 16192, 263, 3445, 994, 825, 11849, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 825, 11849, 7773, 4671, 31103, 16192, 263, 3445, 994, 825, 11849, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 825, 11849, 7773, 4671, 31103, 16192, 263, 3445, 994, 825, 11849, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 15981, 692, 12163, 338, 13645, 4590, 1662, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 338, 13645, 3890, 29185, 258, 1403, 3116, 32276, 692, 18851, 17707, 318, 7076, 815, 476, 4968, 271, 454, 656, 318, 7076, 815, 476, 271, 269, 272, 692, 604, 16216, 548, 11244, 318, 7076, 3436, 1884, 318, 7076, 2187, 825, 4009, 4590, 12828, 912, 825, 11849, 7773, 4671, 31103, 269, 3453, 263, 1911, 994, 825, 11849, 7773, 4671, 31103, 16192, 263, 3445, 264, 5727, 7531, 258, 2755, 17787, 692, 18851, 11849, 7773, 815, 834, 327, 7026, 5016, 6112, 11849, 7773, 2652, 834, 327, 7026, 13426, 825, 11849, 7773, 4671, 31103, 269, 3453, 263, 2004, 264, 5727, 7531, 258, 1280, 17787, 692, 18851, 585, 1775, 538, 2039, 263, 276, 267, 476, 1015, 2187, 825, 1820, 9217, 264, 476, 1948, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 692, 1721, 1293, 538, 2039, 263, 275, 2187, 825, 4009, 3890, 5727, 7531, 258, 10021, 1438, 4578, 9537, 692, 12163, 18204, 619, 2652, 285, 476, 272, 476, 273, 476, 274, 476, 275, 454, 293, 5979, 1846, 2652, 285, 476, 271, 269, 276, 476, 273, 269, 276, 454, 18360, 902, 2652, 285, 834, 27398, 4840, 22517, 1961, 753, 2652, 285, 6936, 8771, 454, 29185, 258, 595, 8463, 2652, 285, 21744, 689, 835, 1239, 1826, 547, 1776, 1239, 1826, 692, 18851, 513, 815, 476, 1015, 454, 321, 815, 476, 276, 269, 275, 454, 322, 815, 834, 1428, 4840, 323, 815, 834, 16178, 5016, 454, 2745, 263, 15615, 5416, 4917, 2745, 17301, 6357, 4917, 2745, 19304, 5416, 4917, 2745, 17301, 6262, 4917, 2745, 6357, 944, 5560, 4297, 29185, 258, 5899, 902, 692, 18851, 521, 815, 834, 15916, 2622, 4840, 2745, 4433, 264, 476, 1948, 28982, 2622, 454, 2745, 4433, 314, 272, 8079, 476, 1948, 552, 29185, 258, 700, 1235, 2652, 285, 26275, 630, 20007, 1227, 513, 834, 10574, 12856, 2580, 855, 1589, 540, 621, 607, 513, 1239, 1826, 256, 2020, 18851, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 6540, 331, 815, 1496, 272, 267, 476, 273, 269, 274, 267, 6936, 267, 834, 27398, 2580, 1496, 275, 267, 476, 276, 267, 476, 277, 3910, 2715, 257, 288, 9899, 834, 17098, 257, 9574, 513, 6540, 12849, 815, 22373, 297, 4141, 2580, 834, 11990, 2580, 834, 22832, 257, 6540, 2745, 10857, 994, 2745, 10857, 314, 276, 20285, 2745, 3799, 1868, 994, 12849, 6910, 2891, 13070, 553, 628, 5984, 5602, 2745, 3799, 1868, 994, 12849, 27044, 263, 271, 267, 834, 309, 553, 880, 3279, 5602, 2745, 3799, 1868, 994, 2745, 3799, 1868, 21014, 15405, 2745, 3799, 1868, 994, 12849, 31927, 2891, 297, 4141, 5602, 2745, 3799, 1868, 994, 12849, 18622, 2091, 4590, 2745, 3799, 1868, 2020, 11133, 1499, 815, 1496, 1015, 267, 476, 276, 267, 476, 1839, 267, 476, 278, 267, 476, 2004, 267, 476, 3374, 6540, 2745, 3799, 13246, 994, 11133, 1499, 31699, 4590, 2745, 3799, 13246, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1079, 5396, 267, 543, 666, 948, 596, 16540, 2093, 585, 707, 5098, 3948, 563, 14454, 267, 513, 5635, 543, 4334, 5098, 3948, 568, 513, 2629, 3693, 540, 606, 1557, 602, 19776, 543, 24716, 1079, 610, 811, 5396, 269, 898, 2337, 519, 5467, 1174, 519, 2078, 1063, 519, 5396, 543, 2488, 513, 2312, 1445, 585, 519, 1557, 269, 1635, 5402, 6236, 519, 5396, 1373, 3379, 543, 4334, 539, 543, 1210, 2312, 267, 9243, 1893, 267, 596, 666, 2328, 513, 3811, 5635, 543, 4334, 5098, 3948, 563, 24718, 1299, 25037, 19080, 15048, 6201, 454, 13914, 827, 621, 713, 1259, 1765, 604, 2576, 19942, 596, 713, 1592, 2507, 2560, 9767, 1131, 4440, 4898, 1946, 519, 646, 1188, 519, 1268, 1175, 1705, 602, 269, 901, 1223, 581, 513, 11786, 3948, 610, 513, 26648, 2243, 269, 9669, 585, 5675, 513, 6153, 14424, 543, 25037, 19080, 7102, 1826, 540, 2852, 610, 6280, 960, 1058, 723, 513, 1434, 7779, 4661, 269, 19130, 707, 6516, 609, 707, 4555, 543, 2093, 269, 7102, 5635, 543, 4334, 1557, 19776, 1079, 1919, 267, 2093, 267, 610, 1004, 585, 519, 3483, 540, 21945, 693, 513, 3932, 563, 1692, 547, 3503, 513, 14424, 543, 25037, 19080, 15048, 454, 4415, 513, 1434, 5098, 267, 596, 3513, 1205, 519, 3988, 262, 3007, 543, 1118, 873, 3314, 707, 1603, 269, 1411, 1058, 723, 7152, 602, 707, 1079, 3584, 616, 3982, 543, 2147, 676, 713, 942, 269, 1548, 1772, 606, 4112, 534, 2218, 19080, 286, 6969, 21365, 519, 13557, 540, 707, 960, 267, 596, 1058, 1445, 593, 3501, 532, 519, 5098, 269, 1323, 5769, 4276, 568, 782, 596, 991, 269, 634, 16198, 543, 24716, 1063, 519, 1079, 4798, 1131, 1287, 581, 9788, 8521, 676, 606, 2278, 269, 6904, 7260, 9135, 11392, 811, 8560, 2429, 519, 1032, 286, 1403, 596, 616, 10010, 609, 1603, 513, 5098, 3948, 602, 568, 849, 5153, 476, 275, 281, 5029, 1125, 2659, 14313, 1411, 666, 10891, 707, 2093, 538, 519, 1557, 1210, 634, 1101, 1505, 568, 1634, 607, 1641, 8386, 28175, 915, 267, 799, 568, 547, 1445, 593, 1142, 1641, 693, 513, 942, 563, 2005, 568, 849, 513, 1434, 2856, 547, 2285, 513, 5618, 3140, 7650, 267, 547, 1376, 609, 513, 1650, 610, 513, 24983, 267, 610, 547, 946, 513, 1008, 25607, 3948, 538, 707, 4367, 269, 1809, 1018, 1281, 713, 1611, 267, 543, 1946, 568, 621, 2565, 585, 707, 960, 286, 4475, 267, 519, 5856, 1058, 1491, 1416, 950, 26004, 519, 5098, 3948, 269, 1717, 267, 3257, 865, 786, 948, 596, 4228, 707, 4555, 543, 2097, 909, 609, 1007, 2093, 585, 519, 1964, 540, 707, 960, 269, 19468, 956, 568, 811, 2442, 982, 7812, 12722, 585, 2348, 513, 2362, 1297, 540, 6455, 538, 513, 10156, 942, 543, 19234, 609, 811, 13465, 6163, 269, 1635, 11287, 519, 3604, 1063, 519, 1079, 2010, 540, 11435, 267, 596, 786, 581, 2111, 547, 1294, 602, 1210, 1957, 568, 30074, 547, 1210, 5068, 269, 3657, 596, 1631, 15819, 2436, 707, 1603, 568, 5963, 513, 20100, 286, 14424, 543, 25037, 19080, 15048, 9502, 634, 5098, 3948, 568, 3006, 1572, 519, 1445, 3948, 282, 621, 2829, 1018, 519, 1445, 610, 1292, 2856, 540, 519, 1557, 786, 581, 563, 1692, 547, 3503, 513, 14424, 543, 25037, 19080, 281, 589, 16754, 547, 11773, 454, 2414, 5635, 1797, 547, 4063, 10486, 267, 543, 547, 4334, 1797, 547, 4063, 3604, 269, 7427, 519, 4388, 2630, 547, 2327, 16523, 568, 540, 1434, 2298, 269, 4746, 267, 596, 786, 3362, 1020, 606, 7291, 16046, 1394, 547, 519, 2063, 4845, 538, 519, 4367, 269, 589, 6952, 267, 971, 607, 513, 3056, 2243, 610, 513, 3196, 995, 6376, 267, 568, 519, 6574, 1259, 547, 1376, 606, 25644, 269, 2755, 16750, 9259, 538, 1312, 4249, 20882, 519, 1292, 3197, 547, 1118, 12050, 7575, 267, 789, 4196, 1114, 5301, 563, 4913, 267, 952, 596, 616, 1932, 11112, 547, 979, 547, 519, 1439, 267, 596, 666, 849, 16926, 2228, 2688, 5830, 269, 5153, 476, 274, 281, 3503, 2659, 19080, 15048, 6258, 2859, 12861, 707, 5098, 3948, 568, 519, 1985, 1900, 538, 1603, 707, 4081, 1957, 269, 5502, 267, 1118, 707, 3932, 513, 5758, 540, 782, 707, 1292, 2798, 269, 1403, 835, 568, 9236, 1079, 3197, 689, 2835, 267, 519, 2835, 607, 1134, 607, 519, 3197, 1058, 581, 3957, 538, 519, 5098, 3948, 269, 5153, 476, 273, 17292, 909, 689, 7522, 539, 1557, 3584, 547, 1832, 596, 5059, 593, 1898, 3877, 547, 16013, 1524, 538, 513, 2582, 4845, 269, 1411, 798, 865, 676, 2241, 7291, 2679, 269, 6904, 568, 519, 9510, 2528, 593, 519, 3618, 286, 2060, 713, 5098, 3948, 267, 1945, 2147, 547, 519, 3105, 3948, 827, 552, 268, 9248, 543, 9102, 2835, 568, 1373, 2944, 676, 9236, 1753, 519, 11596, 547, 7260, 519, 11596, 563, 293, 12767, 476, 1015, 266, 14424, 543, 25037, 19080, 15048, 27842, 538, 7300, 454, 288, 8642, 28013, 899, 513, 966, 3317, 12810, 4534, 538, 799, 10486, 616, 5116, 1369, 519, 20718, 3296, 540, 1079, 10580, 543, 3604, 979, 538, 519, 9018, 6810, 4534, 568, 2500, 585, 7421, 519, 4162, 540, 519, 1079, 2010, 540, 1565, 269, 898, 2829, 602, 835, 1888, 568, 9120, 547, 519, 824, 269, 1306, 596, 666, 1294, 267, 519, 16198, 616, 1500, 547, 9247, 2491, 1946, 519, 1079, 10617, 1419, 1205, 561, 22981, 1927, 267, 855, 519, 17804, 2798, 616, 1500, 547, 2491, 1018, 2306, 873, 1713, 7526, 593, 741, 1378, 269, 1717, 267, 972, 616, 930, 2413, 5640, 945, 1265, 13337, 609, 1010, 4249, 269, 1215, 1281, 3332, 2992, 519, 2243, 540, 4008, 9186, 286, 15394, 267, 621, 5526, 607, 519, 2063, 4845, 538, 519, 4367, 540, 606, 4081, 1957, 563, 1692, 798, 596, 2328, 513, 5635, 543, 4334, 5098, 6673, 2622, 888, 8196, 1921, 1161, 547, 1921, 707, 6810, 269, 6684, 267, 707, 7548, 6499, 547, 1294, 875, 1134, 596, 666, 2697, 519, 2078, 1063, 1079, 1919, 269, 1280, 1142, 1560, 5037, 267, 596, 1489, 519, 5098, 676, 1603, 827, 1142, 1888, 693, 519, 1482, 942, 269, 769, 5162, 267, 782, 596, 991, 547, 798, 568, 1039, 811, 6106, 538, 1931, 547, 3251, 3636, 269, 1290, 2821, 519, 1101, 5037, 540, 519, 1560, 3399, 609, 513, 1641, 8360, 602, 5587, 5809, 835, 1448, 540, 4334, 1063, 707, 1101, 543, 2034, 5396, 269, 769, 1034, 2665, 267, 513, 2241, 17250, 786, 8897, 707, 2417, 960, 543, 948, 596, 2328, 519, 2347, 1557, 12347, 563, 1015, 6201, 2986, 14424, 1299, 25037, 4828, 19080, 32276, 454, 7069, 5796, 281, 3400, 321, 513, 15165, 543, 513, 7484, 540, 6995, 269, 1160, 9133, 476, 272, 281, 17292, 3584, 602, 1719, 596, 269, 1717, 267, 519, 10617, 28209, 538, 519, 12485, 1031, 676, 1312, 5011, 267, 945, 729, 3238, 538, 519, 8165, 267, 543, 1018, 3361, 873, 269, 13445, 476, 273, 7151, 5098, 281, 2755, 972, 513, 1297, 540, 3604, 1063, 1164, 1153, 543, 2852, 267, 835, 540, 519, 1034, 1271, 568, 519, 1377, 540, 3929, 15657, 2838, 585, 1967, 269, 1548, 616, 930, 5635, 543, 4334, 1913, 286, 6733, 1394, 543, 1236, 574, 883, 707, 3948, 269, 634, 4589, 949, 3132, 513, 8903, 6476, 1557, 5098, 676, 6236, 519, 3948, 689, 1082, 5380, 269, 4112, 534, 2218, 5098, 6898, 616, 849, 1634, 607, 16878, 5098, 6898, 563, 1103, 713, 5098, 3948, 267, 519, 6406, 543, 21829, 12668, 538, 1977, 1686, 941, 3379, 543, 4334, 539, 269, 4746, 267, 621, 2488, 596, 513, 1259, 547, 7747, 10486, 543, 3604, 5693, 269, 7905, 281, 7316, 568, 707, 5098, 3948, 286, 6271, 605, 9133, 281, 1677, 1711, 513, 6793, 5098, 267, 581, 1808, 256, 589, 5098, 28279, 519, 5467, 827, 519, 1445, 540, 519, 1557, 269, 898, 666, 581, 9425, 2653, 547, 4020, 513, 5635, 543, 4334, 1557, 269, 1548, 3693, 666, 1118, 707, 5635, 543, 4334, 1557, 1796, 856, 286, 589, 6476, 610, 4334, 1957, 6663, 547, 5031, 6263, 7648, 610, 9670, 19320, 1063, 1079, 3584, 2864, 982, 17548, 519, 10423, 269, 898, 568, 1863, 540, 16148, 4978, 543, 6898, 602, 616, 711, 20483, 909, 676, 5013, 563, 1607, 20964, 519, 4287, 707, 960, 568, 2469, 538, 269, 24068, 7125, 2916, 1689, 606, 16650, 3463, 538, 4334, 547, 519, 6644, 676, 26425, 523, 31000, 267, 945, 7125, 782, 891, 6811, 4636, 269, 4197, 891, 1957, 2609, 1354, 596, 1376, 26004, 666, 948, 596, 1020, 513, 5098, 3948, 602, 568, 17709, 540, 606, 1557, 269, 589, 2178, 5098, 568, 1808, 267, 5730, 267, 3196, 995, 267, 8746, 267, 543, 568, 2111, 547, 581, 7152, 269, 1677, 3132, 835, 602, 781, 1134, 27787, 267, 596, 1058, 917, 1141, 707, 960, 568, 16144, 269, 0, 3849, 1203, 675, 568, 1175, 1472, 519, 7944, 269, 2353, 596, 991, 568, 547, 1118, 2386, 621, 568, 20027, 585, 1312, 1107, 7186, 1299, 1411, 563, 32306, 513, 13009, 15777, 281, 20780, 1394, 3388, 269, 1234, 20608, 2098, 760, 9376, 11435, 270, 1415, 1507, 20203, 4874, 321, 698, 547, 581, 1031, 269, 11408, 556, 1790, 871, 782, 519, 12109, 13827, 540, 519, 3548, 1963, 543, 1875, 910, 321, 1675, 22869, 3653, 538, 23431, 23407, 9376, 11435, 269, 901, 1259, 621, 568, 4180, 602, 649, 798, 711, 723, 547, 1167, 731, 1367, 12109, 13827, 2059, 519, 1259, 607, 835, 12109, 3899, 8591, 547, 519, 13557, 540, 17885, 1336, 593, 519, 18162, 269, 5269, 606, 4674, 547, 3640, 856, 4540, 16445, 269, 2961, 787, 856, 782, 602, 596, 5645, 538, 563, 8196, 543, 1234, 2224, 1058, 581, 519, 2343, 281, 11408, 4163, 1201, 650, 762, 1216, 14569, 609, 596, 269, 21311, 14569, 1058, 581, 513, 2462, 1100, 968, 17472, 6100, 1684, 711, 4163, 1875, 1532, 1675, 22869, 2472, 563, 288, 1507, 20203, 9126, 13615, 547, 519, 30618, 281, 901, 2306, 606, 2653, 543, 2500, 20203, 4015, 3926, 269, 3502, 1152, 786, 713, 948, 1832, 519, 13009, 2973, 267, 855, 2090, 723, 3254, 602, 1004, 616, 811, 26997, 547, 12235, 20203, 538, 513, 1747, 602, 568, 2973, 563, 310, 1779, 593, 3964, 18162, 543, 1810, 1406, 1491, 31930, 281, 1684, 711, 1711, 1007, 10092, 543, 13122, 2572, 269, 1715, 10092, 610, 13122, 2572, 7519, 519, 19454, 543, 694, 1066, 640, 540, 519, 1858, 269, 18227, 547, 3964, 18162, 849, 3947, 4025, 602, 616, 1175, 4098, 547, 1397, 513, 2318, 1764, 267, 519, 4960, 547, 12115, 2933, 563, 2690, 5274, 3653, 281, 645, 1722, 1480, 3653, 538, 3032, 8559, 827, 476, 277, 268, 279, 16357, 2620, 267, 476, 1220, 3952, 689, 1022, 1216, 2959, 267, 13122, 2572, 267, 610, 18162, 269, 1411, 666, 2007, 513, 1507, 8486, 538, 519, 22501, 1858, 543, 31997, 972, 543, 1287, 3382, 621, 543, 10605, 835, 6079, 269, 589, 1507, 4677, 512, 992, 601, 666, 581, 1031, 547, 1118, 513, 3032, 8559, 799, 568, 20522, 543, 17426, 269, 667, 2794, 782, 519, 27500, 3653, 849, 538, 513, 1507, 8486, 865, 602, 621, 666, 581, 10736, 883, 23226, 563, 8253, 547, 2322, 519, 1957, 1524, 30079, 543, 1100, 8741, 532, 540, 873, 538, 519, 25510, 281, 1411, 2461, 1210, 16003, 512, 757, 1107, 799, 616, 10416, 3032, 9475, 269, 1358, 1810, 1406, 723, 3653, 2359, 1949, 269, 3143, 835, 6499, 547, 1294, 16003, 1957, 16559, 936, 513, 4190, 7823, 3135, 269, 8738, 940, 16003, 1957, 568, 711, 5227, 607, 621, 786, 2014, 4104, 11642, 269, 634, 6394, 3653, 2356, 4422, 1524, 513, 5757, 610, 568, 6456, 2476, 3297, 519, 7725, 269, 1924, 267, 649, 31274, 602, 3025, 1491, 741, 1378, 1875, 1532, 1675, 22869, 3653, 1394, 547, 741, 2749, 543, 1287, 26565, 540, 873, 1107, 711, 1152, 7254, 3202, 3653, 267, 855, 4376, 971, 607, 12109, 13827, 267, 610, 5068, 11435, 563, 8196, 930, 5452, 281, 17652, 519, 4005, 540, 5613, 899, 27335, 267, 25888, 684, 267, 13544, 4829, 267, 3092, 269, 5213, 1406, 12235, 519, 5452, 267, 11547, 873, 543, 3640, 621, 269, 24269, 596, 1265, 3046, 1066, 2244, 593, 513, 19814, 267, 12235, 891, 5452, 269, 1358, 786, 10351, 3729, 3362, 519, 4947, 30734, 269, 1403, 609, 713, 957, 267, 649, 666, 3565, 1256, 513, 2582, 3529, 1142, 547, 938, 1158, 267, 938, 5692, 568, 3811, 563, 4910, 1051, 519, 1604, 543, 5213, 1406, 1376, 3574, 11642, 281, 634, 10545, 1416, 1652, 3527, 949, 1291, 547, 4104, 11642, 269, 901, 666, 581, 29070, 585, 2199, 10357, 1606, 2448, 338, 543, 1004, 563, 10673, 1406, 3542, 1393, 1216, 2959, 282, 946, 27500, 1924, 777, 269, 1879, 596, 11547, 707, 3946, 693, 1753, 267, 519, 521, 644, 338, 642, 4314, 1524, 519, 8963, 269, 1809, 538, 519, 18137, 267, 519, 8485 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1434, 4960, 596, 3580, 2661, 513, 1279, 543, 6126, 1272, 563, 14582, 10079, 621, 610, 711, 267, 594, 6557, 513, 3787, 540, 513, 1852, 1954, 752, 267, 855, 1152, 827, 1919, 594, 917, 594, 666, 1689, 563, 296, 1810, 1406, 991, 519, 9153, 540, 606, 1310, 5158, 547, 581, 6126, 538, 1315, 10472, 270, 835, 1317, 594, 4076, 6836, 547, 2661, 513, 1434, 1272, 693, 1169, 1900, 269, 594, 723, 6836, 547, 946, 1250, 2048, 2145, 757, 685, 547, 519, 1655, 540, 741, 2702, 269, 1656, 594, 723, 6836, 547, 1521, 1866, 607, 594, 1131, 723, 873, 1521, 803, 563, 8310, 855, 711, 2547, 267, 594, 723, 2760, 6836, 547, 3196, 1250, 4978, 5196, 4896, 3116, 269, 1879, 594, 6557, 14084, 593, 1250, 2669, 5127, 594, 4126, 547, 1413, 1394, 693, 1250, 1272, 543, 723, 1100, 1036, 28905, 269, 594, 4126, 547, 5884, 6126, 267, 711, 31604, 780, 299, 27419, 676, 476, 272, 1268, 692, 1892, 1684, 596, 1246, 782, 9097, 10952, 2093, 610, 3442, 799, 3283, 596, 3494, 2496, 12024, 692, 1607, 568, 711, 513, 3909, 5816, 269, 898, 568, 513, 5816, 827, 6138, 267, 2257, 267, 26381, 1108, 780, 2252, 596, 1616, 547, 8044, 1996, 19473, 1143, 267, 1491, 621, 547, 707, 1378, 5816, 269, 898, 568, 711, 10950, 1934, 780, 27716, 6026, 968, 331, 913, 789, 7023, 6100, 1261, 1705, 711, 23868, 19473, 1235, 689, 602, 2648, 780, 299, 27419, 676, 476, 272, 1268, 692, 1892, 4208, 1376, 513, 5816, 827, 2436, 2257, 3340, 5132, 952, 596, 1810, 1406, 1616, 547, 5873, 689, 513, 1268, 540, 5132, 286, 2696, 12196, 596, 782, 269, 1656, 594, 3494, 594, 786, 1376, 513, 5816, 593, 1250, 4168, 3896, 7282, 713, 7521, 269, 8307, 4896, 568, 10950, 547, 1566, 710, 269, 594, 786, 711, 23868, 1346, 945, 1810, 1406, 1589, 4010, 899, 594, 798, 780, 12024, 692, 1892, 4208, 1376, 513, 5816, 827, 2436, 2257, 3340, 5132, 952, 596, 1810, 1406, 1616, 547, 5873, 689, 513, 1268, 540, 5132, 2496, 763, 1888, 568, 2436, 2257, 3340, 5132, 269, 634, 1888, 568, 711, 19473, 1143, 780, 296, 723, 796, 1952, 28508, 707, 1079, 1034, 2487, 9708, 267, 1317, 789, 616, 1055, 1888, 543, 789, 11716, 1250, 4505, 7662, 602, 596, 3247, 780, 299, 27419, 676, 476, 272, 1268, 692, 1892, 594, 6999, 596, 1134, 269, 1717, 267, 11755, 585, 1776, 568, 811, 2500, 269, 1403, 972, 2479, 2501, 513, 942, 596, 991, 513, 11755, 267, 594, 6557, 1934, 780, 12024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 866, 281, 5400, 454, 272, 1133, 762, 547, 1205, 8945, 540, 713, 2243, 269, 15276, 803, 5225, 269, 476, 274, 476, 1626, 8734, 476, 1001, 271, 267, 476, 6021, 281, 876, 454, 20055, 803, 1174, 713, 835, 726, 338, 1862, 476, 275, 476, 1704, 4455, 476, 1001, 271, 267, 476, 4905, 281, 5655, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 594, 1589, 713, 1966, 568, 2953, 281, 10231, 16057, 693, 513, 535, 7806, 2777, 692, 1012, 14581, 15048, 692, 288, 2875, 25001, 513, 1305, 540, 10569, 19794, 16057, 547, 1010, 9992, 24471, 7015, 267, 945, 568, 538, 513, 6885, 513, 3845, 554, 1657, 269, 634, 7015, 781, 856, 560, 4958, 3481, 3946, 29598, 519, 10569, 593, 741, 1259, 909, 693, 513, 942, 512, 2663, 269, 630, 320, 264, 2060, 1018, 3355, 6991, 941, 519, 10569, 16207, 286, 630, 321, 264, 1548, 729, 519, 6991, 540, 519, 10569, 1175, 1354, 789, 941, 9575, 286, 630, 12585, 1058, 581, 538, 2474, 540, 554, 267, 512, 267, 543, 575, 24355, 1012, 14581, 12307, 692, 7445, 18773, 259, 343, 815, 642, 271, 339, 1341, 630, 272, 270, 273, 264, 520, 273, 454, 341, 273, 815, 642, 6349, 1341, 476, 273, 320, 7445, 18773, 259, 343, 692, 1012, 634, 28055, 693, 513, 8827, 692, 9223, 476, 272, 281, 950, 1705, 519, 957, 540, 18530, 2253, 286, 1879, 519, 10569, 941, 5950, 689, 519, 1688, 267, 610, 1282, 519, 2842, 909, 540, 519, 6186, 270, 8518, 267, 1354, 16089, 519, 10569, 286, 634, 6323, 20131, 538, 519, 2979, 2978, 5143, 803, 519, 3355, 6991, 729, 476, 271, 269, 1809, 602, 568, 711, 3020, 952, 693, 519, 4090, 540, 5305, 519, 10569, 941, 2907, 693, 513, 2362, 6991, 780, 9223, 476, 273, 281, 1018, 1281, 834, 314, 320, 316, 985, 4546, 1058, 581, 538, 2474, 540, 554, 267, 512, 267, 543, 575, 257, 1611, 286, 1684, 789, 1616, 4890, 2338, 1210, 554, 267, 512, 267, 543, 575, 282, 610, 568, 713, 513, 1297, 1652, 1966, 2496, 320, 264, 4399, 18773, 259, 343, 815, 642, 271, 339, 1341, 630, 272, 270, 273, 264, 520, 273, 692, 341, 271, 815, 630, 272, 14121, 7565, 7445, 18773, 259, 343, 910, 630, 272, 270, 273, 264, 520, 273, 2020, 341, 271, 815, 630, 272, 14121, 7565, 327, 910, 630, 272, 270, 273, 264, 25885, 273, 2020, 341, 271, 815, 630, 327, 14121, 264, 910, 16733, 25885, 8358, 273, 2020, 321, 264, 642, 273, 815, 642, 6349, 1341, 476, 273, 320, 7445, 18773, 259, 343, 692, 341, 273, 815, 16733, 327, 14121, 264, 910, 630, 25885, 8358, 273, 264, 273, 1341, 476, 273, 724, 692, 341, 815, 1341, 263, 327, 14121, 264, 910, 630, 25885, 8358, 273, 1341, 476, 273, 724, 543, 642, 815, 910, 9230, 327, 14121, 264, 910, 630, 25885, 8358, 273, 1341, 476, 273, 724, 2020, 7712, 789, 10569, 941, 16207, 16057, 543, 9575, 267, 642, 538, 713, 2013, 1590, 581, 519, 2318, 2626, 1657, 780, 12552, 585, 1022, 948, 2439, 8310, 12995, 1384, 291, 665, 1325, 454, 300, 550, 528, 454, 9223, 476, 272, 281, 950, 1705, 519, 957, 540, 18530, 2253, 286, 1879, 519, 10569, 941, 5950, 689, 519, 1688, 267, 610, 1282, 519, 2842, 909, 540, 519, 6186, 270, 8518, 267, 1354, 16089, 519, 10569, 286, 634, 6323, 20131, 538, 519, 2979, 2978, 5143, 803, 519, 3355, 6991, 729, 476, 271, 269, 1809, 602, 568, 711, 3020, 952, 693, 519, 4090, 540, 5305, 519, 10569, 941, 2907, 693, 513, 2362, 6991, 563, 2791, 616, 2953, 269, 1635, 834, 30976, 6991, 257, 789, 1611, 519, 3432, 609, 799, 789, 2451, 519, 1688, 780, 9223, 476, 273, 281, 1018, 1281, 834, 314, 320, 316, 985, 4546, 1058, 581, 538, 2474, 540, 554, 267, 512, 267, 543, 575, 257, 1611, 286, 1684, 789, 1616, 4890, 2338, 1210, 554, 267, 512, 267, 543, 575, 282, 610, 568, 713, 513, 1297, 1652, 1966, 888, 5445, 1616, 596, 547, 2769, 519, 2626, 538, 2474, 540, 1346, 4632, 269, 1411, 616, 711, 2016, 1022, 4890, 2338, 780, 320, 264, 4399, 18773, 259, 343, 815, 12911, 1341, 630, 272, 270, 273, 264, 520, 273, 692, 341, 271, 815, 630, 272, 14121, 7565, 7445, 18773, 259, 343, 910, 630, 272, 270, 273, 264, 520, 273, 2020, 341, 271, 815, 630, 272, 14121, 7565, 327, 910, 630, 272, 270, 273, 264, 25885, 273, 2020, 341, 271, 815, 630, 327, 14121, 264, 910, 16733, 25885, 8358, 273, 994, 22512, 995, 609, 4191, 269, 1403, 909, 568, 2318, 267, 1018, 781, 519, 10231, 2496, 2791, 616, 2953, 269, 1635, 834, 30976, 6991, 257, 789, 1611, 519, 3432, 609, 799, 789, 2451, 519, 1688, 780, 308, 327, 19315, 267, 7064, 269, 634, 1966, 814, 1631, 1831, 1454, 9875, 952, 519, 10569, 1185, 513, 6991, 1390, 982, 476, 271, 950, 789, 941, 5950, 780, 22512, 995, 609, 4191, 269, 1403, 909, 568, 2318, 267, 1018, 781, 519, 10231, 2496, 10907, 5120, 566, 568, 2942, 286, 594, 1589, 602, 2942, 10231, 568, 632, 5120, 566, 267, 855, 594, 993, 711, 2386, 780, 296, 849, 1589, 2318, 6991, 1797, 519, 1843, 568, 3001, 909, 610, 547, 519, 2451, 267, 543, 2942, 6991, 568, 519, 6587, 269, 1809, 594, 1810, 1405, 917, 585, 2386, 780, 296, 1616, 547, 1589, 602, 10231, 543, 6991, 1590, 2141, 723, 519, 1482, 1129, 780, 309, 601, 6290, 568, 700, 20081, 543, 10231, 568, 630, 299, 20081, 8358, 307, 780, 307, 568, 2141, 2318, 630, 11004, 568, 1100, 971, 3364, 607, 2942, 942, 264, 543, 700, 814, 547, 2901, 581, 2318, 610, 2942, 267, 855, 711, 1312, 693, 519, 1482, 942, 269, 1924, 10231, 543, 6991, 2141, 723, 547, 3858, 538, 1129, 630, 32355, 1312, 616, 2318, 610, 1312, 616, 2942, 264, 2496, 291, 665, 1325, 454, 300, 550, 528, 454, 308, 327, 19315, 267, 7064, 269, 634, 1966, 814, 1631, 1831, 1454, 9875, 952, 519, 10569, 1185, 513, 6991, 1390, 982, 476, 271, 950, 789, 941, 5950, 563, 3963, 798, 596, 1589, 602, 286, 1403, 519, 10569, 1185, 513, 3432, 540, 4642, 950, 5950, 789, 9327, 1405, 1256, 4734, 519, 1688, 267, 1454, 1447, 4473, 909, 547, 513, 3845, 554, 780, 10907, 5120, 566, 568, 2942, 888, 8133, 267, 519, 10231, 540, 8904, 568, 18746, 543, 3976, 2942, 269, 769, 2474, 540, 575, 267, 1018, 1131, 621, 581, 2496, 296, 1589, 602, 2942, 10231, 568, 632, 5120, 566, 267, 855, 594, 993, 711, 2386, 563, 296, 1810, 1405, 1589, 519, 2165, 834, 1372, 5120, 566, 257, 568, 1360, 3730, 780, 296, 849, 1589, 2318, 6991, 1797, 519, 1843, 568, 3001, 909, 610, 547, 519, 2451, 267, 543, 2942, 6991, 568, 519, 6587, 269, 1809, 594, 1810, 1405, 917, 585, 2386, 563, 1103, 713, 1966, 267, 1491, 909, 607, 2318, 269, 630, 2171, 1152, 723, 547, 4308, 609, 519, 7299, 4700, 1924, 513, 2318, 6991, 1797, 3001, 16057, 780, 291, 665, 1325, 454, 300, 550, 528, 454, 296, 1616, 547, 1589, 602, 10231, 543, 6991, 1590, 2141, 723, 519, 1482, 1129, 563, 6546, 781, 711, 865, 269, 6333, 513, 3440, 16207, 2786, 909, 883, 519, 2011, 269, 898, 4422, 909, 267, 1287, 2501, 1524, 269, 1924, 519, 4287, 630, 663, 3976, 1129, 264, 540, 519, 6991, 1590, 1689, 269, 1809, 1705, 519, 4287, 630, 663, 3976, 1129, 264, 540, 519, 10231, 1689, 2496, 3963, 798, 596, 1589, 602, 286, 1403, 519, 10569, 1185, 513, 3432, 540, 4642, 950, 5950, 789, 9327, 1405, 1256, 4734, 519, 1688, 267, 1454, 1447, 4473, 909, 547, 513, 3845, 554, 780, 10303, 267, 25473, 267, 6323, 1954, 6545, 803, 856, 267, 543, 568, 1250, 23698, 1576, 2439, 8133, 267, 519, 10231, 540, 8904, 568, 18746, 543, 3976, 2942, 269, 769, 2474, 540, 575, 267, 1018, 1131, 621, 581, 2496, 3383, 1863, 2887, 10231, 610, 10231, 18746, 1813, 547, 8904, 568, 27082, 557, 10231, 267, 1317, 519, 6991, 568, 3478, 2362, 1496, 3633, 3951, 281, 538, 6207, 1871, 4940, 1809, 952, 519, 1843, 781, 6991, 568, 3478, 14887, 267, 610, 2469, 1996, 8904, 267, 621, 568, 2942, 10231, 269, 1924, 575, 538, 713, 2013, 568, 2965, 910, 326, 780, 296, 1810, 1405, 1589, 519, 2165, 834, 1372, 5120, 566, 257, 568, 1360, 3730, 780, 302, 330, 267, 865, 2942, 10231, 1797, 519, 1843, 568, 23646, 1524, 543, 519, 6991, 568, 13302, 538, 6207, 1871, 780, 1103, 713, 1966, 267, 1491, 909, 607, 2318, 269, 630, 2171, 1152, 723, 547, 4308, 609, 519, 7299, 4700, 1924, 513, 2318, 6991, 1797, 3001, 16057, 780, 14188, 596, 269, 594, 993, 2469, 547, 2119, 269, 898, 1522, 1491, 803, 930, 942, 547, 25666, 519, 3830, 1498, 780, 291, 665, 1325, 454, 300, 550, 528, 454, 10303, 267, 25473, 267, 6323, 1954, 6545, 803, 856, 267, 543, 568, 1250, 23698, 1576, 2336, 2005, 666, 581, 513, 2634, 1532, 13831, 267, 782, 1318, 269, 25529, 609, 621, 543, 596, 3513, 798, 5386, 780, 3383, 1863, 2887, 10231, 610, 10231, 18746, 1813, 547, 8904, 568, 27082, 557, 10231, 267, 1317, 519, 6991, 568, 3478, 2362, 269, 1809, 952, 519, 1843, 781, 6991, 568, 3478, 14887, 267, 610, 2469, 1996, 8904, 267, 621, 568, 2942, 10231, 269, 1924, 575, 538, 713, 2013, 568, 2965, 910, 326, 563, 13914, 713, 1259, 281, 24665, 566, 568, 513, 6152, 630, 3286, 899, 6991, 568, 513, 6152, 1040, 634, 10231, 540, 1945, 538, 1863, 2887, 568, 18746, 267, 543, 938, 1129, 15007, 3081, 602, 1797, 621, 568, 2942, 269, 1656, 519, 3090, 834, 326, 257, 568, 1175, 513, 2318, 3586, 630, 16029, 547, 476, 280, 269, 279, 544, 4882, 317, 273, 1070, 865, 602, 1797, 602, 519, 10231, 568, 910, 326, 780, 302, 330, 267, 865, 2942, 10231, 1797, 519, 1843, 568, 23646, 1524, 543, 519, 6991, 568, 13302, 538, 6207, 1871, 563, 5591, 267, 2942, 10231, 1175, 1797, 602, 519, 10231, 568, 1524, 2072, 269, 630, 4263, 2547, 538, 713, 1966, 4700, 8786, 267, 950, 596, 12235, 1945, 909, 267, 519, 3432, 11081, 269, 1809, 2899, 621, 5956, 9991, 267, 922, 3432, 786, 2333, 1586, 269, 769, 1312, 2665, 267, 1210, 938, 1129, 15007, 267, 519, 10231, 568, 2942, 780, 14188, 596, 269, 594, 993, 2469, 547, 2119, 269, 898, 1522, 1491, 803, 930, 942, 547, 25666, 519, 3830, 1498, 563, 2791, 2907, 1185, 519, 1966, 12193, 256, 3807, 1689, 519, 1129, 540, 519, 10231, 780, 3080, 811, 3364, 281, 594, 1810, 1405, 917, 952, 642, 630, 528, 642, 325, 264, 568, 2965, 476, 271, 267, 2094, 519, 10569, 941, 9575, 267, 610, 952, 642, 568, 1318, 1354, 789, 941, 9575, 267, 799, 568, 2731, 20868, 602, 519, 1433, 4280, 602, 2243, 267, 2094, 713, 2636, 585, 12808, 4267, 267, 607, 834, 3286, 1354, 257, 666, 581, 1175, 827, 4376, 267, 899, 476, 271, 269, 1822, 4905, 544, 4882, 610, 476, 271, 269, 272, 544, 4882, 269, 1703, 616, 28222, 4130, 5515, 1354, 519, 3803, 6991, 10301, 476, 271, 780, 291, 665, 1325, 454, 300, 550, 528, 454, 3080, 811, 3364, 281, 594, 1810, 1405, 917, 952, 642, 630, 528, 642, 325, 264, 568, 2965, 476, 271, 267, 2094, 519, 10569, 941, 9575, 267, 610, 952, 642, 568, 1318, 1354, 789, 941, 9575, 267, 799, 568, 2731, 20868, 602, 519, 1433, 4280, 602, 2243, 267, 2094, 713, 2636, 585, 12808, 4267, 267, 607, 834, 3286, 1354, 257, 666, 581, 1175, 827, 4376, 267, 899, 476, 271, 269, 1822, 4905, 544, 4882, 610, 476, 271, 269, 272, 20444, 563, 5591, 2601, 547, 1589, 519, 3432, 540, 519, 10569, 950, 789, 616, 9575, 786, 581, 4642, 269, 6056, 540, 642, 325, 607, 519, 3432, 540, 519, 10569, 1310, 789, 4473, 513, 3845, 554, 780, 2005, 666, 581, 513, 2634, 1532, 13831, 267, 782, 1318, 269, 25529, 609, 621, 543, 596, 3513, 798, 5386, 780, 296, 786, 256, 8729, 585, 707, 19015, 256, 8212, 543, 11810, 865, 2484, 616, 1250, 5172, 6030, 269, 5274, 7350, 568, 21453, 267, 855, 972, 568, 4986, 6310, 827, 621, 267, 610, 693, 2547, 519, 7548, 568, 546, 17741, 1524, 519, 1576, 585, 721, 543, 711, 1818, 721, 798, 519, 1979, 17190, 851, 609, 6310, 4834, 780, 5591, 267, 2942, 10231, 1175, 1797, 602, 519, 10231, 568, 1524, 2072, 269, 630, 4263, 2547, 538, 713, 1966, 4700, 8786, 267, 950, 596, 12235, 1945, 909, 267, 519, 3432, 11081, 269, 1809, 2899, 621, 5956, 9991, 267, 922, 3432, 786, 2333, 1586, 269, 769, 1312, 2665, 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 ]
[ 4535, 538, 476, 6642, 272, 630, 720, 476, 14338, 1040, 634, 3409, 568, 2009, 855, 18106, 569, 20240, 269, 4173, 2669, 814, 711, 1044, 4080, 2094, 602, 942, 267, 865, 1100, 2085, 1657, 476, 14338, 814, 1044, 2357, 604, 22239, 10645, 563, 268, 12246, 773, 19839, 5459, 281, 4173, 1073, 15856, 2456, 2408, 538, 10060, 268, 21158, 11356, 543, 634, 1715, 3840, 8648, 269, 4173, 1920, 6811, 602, 1352, 729, 4535, 5412, 476, 1839, 267, 476, 6942, 271, 543, 5030, 547, 2085, 476, 11277, 267, 12955, 538, 3735, 5437, 267, 476, 1960, 275, 563, 11847, 2176, 609, 2347, 4266, 540, 4332, 454, 4322, 616, 13387, 8638, 540, 1004, 4171, 12468, 335, 753, 2611, 796, 591, 1881, 676, 9938, 1493, 5638, 267, 1519, 1312, 2413, 630, 10817, 514, 1145, 268, 5028, 264, 543, 3140, 2665, 269, 28787, 338, 7508, 2901, 630, 528, 1312, 264, 513, 4266, 540, 4332, 7933, 622, 540, 2669, 616, 7396, 14384, 269, 2353, 2665, 538, 799, 606, 1367, 781, 2706, 1417, 523, 4115, 14438, 568, 711, 630, 344, 564, 264, 20483, 676, 5638, 6190, 547, 519, 4441, 540, 2413, 15325, 1382, 616, 7396, 607, 796, 591, 1881, 269, 1358, 949, 581, 1249, 1302, 3020, 267, 1256, 1498, 5638, 798, 711, 2291, 630, 528, 723, 711, 2943, 1044, 1336, 1070, 865, 971, 8638, 1331, 891, 15454, 268, 19327, 2665, 563, 4322, 2713, 2706, 1417, 523, 4115, 2665, 267, 538, 27312, 1931, 540, 10645, 2085, 267, 609, 2407, 4332, 543, 2689, 7389, 267, 723, 1044, 8242, 1369, 519, 2250, 1079, 1296, 267, 855, 723, 711, 1185, 741, 10645, 2085, 24019, 676, 606, 4830, 1560, 971, 607, 519, 15168, 26585, 3194, 6828, 610, 2871, 514, 1145, 2622, 19475, 269, 8307, 6811, 3152, 982, 519, 9510, 20240, 2713, 1268, 267, 966, 14489, 9466, 945, 568, 9907, 476, 14056, 1296, 267, 476, 10482, 2395, 267, 855, 896, 476, 9873, 1296, 616, 3769, 538, 519, 1592, 563, 25200, 1475, 29189, 1475, 11847, 9285, 4332, 4266, 1475, 21848, 607, 540, 476, 2918, 4873, 476, 1001, 278, 1475, 20278, 540, 15335, 1475, 30238, 1867, 2008, 23277, 7559, 12359, 31483, 28828, 4275, 1475, 293, 1475, 274, 5181, 476, 6245, 271, 1475, 14695, 1296, 267, 476, 30640, 2395, 1475, 24154, 7588, 1475, 280, 5130, 476, 1001, 278, 2008, 25238, 1177, 3733, 320, 19109, 328, 1475, 293, 1475, 280, 5239, 476, 6245, 273, 1475, 14862, 1296, 267, 476, 18605, 2395, 1475, 7069, 25130, 1475, 1704, 2904, 476, 1001, 277, 2008, 30106, 1014, 7043, 344, 340, 1475, 293, 1475, 280, 4873, 476, 6245, 274, 1475, 14862, 1296, 267, 476, 1704, 2395, 1475, 19770, 1475, 1789, 5239, 476, 1001, 277, 2008, 347, 17315, 3570, 932, 2135, 962, 659, 1475, 293, 1475, 3066, 5437, 476, 6245, 274, 1475, 11277, 1296, 267, 476, 20385, 2395, 1475, 294, 10663, 7356, 320, 1475, 277, 5239, 476, 1001, 277, 2008, 18871, 601, 3626, 16645, 534, 826, 9366, 808, 541, 600, 21034, 1475, 300, 1475, 1839, 5147, 476, 6245, 277, 1475, 6344, 1296, 267, 476, 28656, 2395, 1475, 2419, 850, 1475, 1839, 5147, 476, 1001, 277, 2008, 16085, 342, 9564, 590, 23186, 7701, 1475, 300, 1475, 279, 4864, 476, 6245, 277, 1475, 6344, 1296, 267, 476, 27088, 2395, 1475, 19328, 1475, 1321, 5412, 476, 1001, 277, 2008, 16085, 644, 327, 752, 541, 932, 4405, 1386, 328, 1475, 300, 1475, 736, 4989, 476, 6245, 278, 1475, 6344, 1296, 267, 476, 6858, 2395, 1475, 19328, 1475, 2537, 4989, 476, 1001, 277, 2008, 26180, 3757, 322, 4593, 320, 12246, 8457, 1475, 293, 1475, 1556, 5181, 476, 6245, 278, 1475, 15686, 1296, 267, 476, 25971, 2395, 1475, 24589, 2089, 1149, 1475, 1556, 5181, 476, 1001, 277, 2008, 347, 5719, 565, 25475, 1924, 4100, 30954, 1132, 1475, 293, 1475, 2190, 4873, 476, 6245, 279, 1475, 15686, 1296, 267, 476, 273, 2395, 1475, 24154, 7588, 1475, 2190, 4873, 476, 1001, 277, 2008, 347, 11321, 17144, 26450, 320, 3331, 479, 331, 29166, 345, 1475, 293, 1475, 1626, 5181, 476, 6245, 279, 1475, 14093, 1296, 267, 476, 27543, 2395, 1475, 6635, 7217, 2088, 1475, 2918, 4989, 476, 1001, 278, 2008, 347, 301, 520, 1204, 611, 6742, 710, 345, 632, 3288, 30434, 1475, 293, 1475, 275, 5130, 476, 5002, 271, 1475, 14056, 1296, 267, 476, 15876, 2395, 1475, 291, 7631, 3821, 1475, 275, 5130, 476, 1001, 278, 2008, 347, 11321, 17144, 632, 17485, 1234, 13433, 17786, 6759, 560, 27622, 1475, 293, 1475, 277, 5130, 476, 5002, 271, 1475, 14056, 1296, 267, 476, 14378, 2395, 1475, 291, 7631, 4618, 6243, 1475, 4029, 4728, 476, 1001, 278, 2008, 347, 23742, 1580, 320, 12756, 13005, 1230, 576, 328, 23843, 1475, 293, 1475, 277, 4728, 476, 5002, 271, 1475, 14056, 1296, 267, 476, 12208, 2395, 1475, 24154, 7588, 1475, 278, 4728, 476, 1001, 278, 2008, 347, 294, 329, 11253, 631, 24824, 328, 1475, 293, 1475, 280, 4728, 476, 5002, 271, 1475, 14056, 1296, 267, 476, 11820, 2395, 1475, 2704, 3316, 807, 1475, 1015, 4728, 476, 1001, 277, 2008, 347, 297, 657, 2946, 5548, 326, 5964, 4856, 1537, 525, 1475, 300, 1475, 1015, 4728, 476, 5002, 271, 1475, 14056, 1296, 267, 476, 10482, 2395, 1475, 21798, 320, 28573, 1475, 277, 4728, 476, 1001, 278, 2008, 1607, 3349, 3568, 2706, 1417, 523, 4115, 6811, 609, 2901, 513, 1634, 2669, 4266, 610, 1100, 21533, 585, 811, 982, 476, 273, 1296, 602, 789, 941, 1869, 9800, 269, 8307, 6811, 3152, 982, 602, 540, 14639, 928, 2836, 618, 945, 5747, 693, 519, 2085, 540, 476, 14338, 1296, 267, 476, 13932, 2395, 267, 855, 896, 476, 9873, 1296, 616, 3769, 269, 1358, 616, 7396, 538, 1931, 540, 2085, 607, 540, 519, 4266, 540, 2669, 610, 4266, 2063, 4080, 9800, 563, 25200, 1475, 29189, 1475, 11847, 9285, 4332, 4266, 1475, 5719, 987, 4266, 610, 5767, 1867, 1475, 11847, 9285, 2085, 1475, 20278, 540, 2669, 15828, 520, 652, 15335, 2008, 347, 2704, 328, 5484, 15011, 3139, 4432, 2549, 686, 1475, 300, 1475, 276, 5239, 476, 6642, 271, 1475, 4148, 269, 476, 1789, 5181, 476, 1001, 271, 1475, 15782, 1296, 267, 476, 11740, 2395, 1475, 307, 684, 529, 807, 2008, 23277, 7559, 798, 25844, 334, 15168, 20110, 333, 24982, 1475, 293, 1475, 276, 4728, 476, 6942, 272, 1475, 1691, 4873, 476, 1220, 271, 1475, 15782, 1296, 267, 476, 6200, 2395, 1475, 24154, 7588, 2008, 23277, 776, 661, 30591, 1475, 293, 1475, 276, 2904, 476, 6942, 279, 1475, 1015, 4989, 476, 1220, 278, 1475, 12553, 1296, 267, 476, 22430, 2395, 1475, 297, 4821, 3821, 2008, 18871, 745, 345, 670, 1716, 5451, 526, 14162, 1475, 293, 1475, 274, 2904, 476, 6942, 279, 1475, 279, 4728, 476, 1220, 278, 1475, 12553, 1296, 267, 476, 29616, 2395, 1475, 14976, 30571, 2008, 347, 14976, 9626, 5840, 1475, 293, 1475, 2767, 5130, 476, 6942, 276, 1475, 1691, 5239, 476, 1220, 274, 1475, 12553, 1296, 267, 476, 18605, 2395, 1475, 291, 7631, 3821, 2008, 347, 297, 657, 2946, 1642, 14472, 9222, 5395, 3757, 334, 1475, 300, 1475, 276, 4728, 476, 6642, 272, 1475, 2190, 4989, 476, 1220, 280, 1475, 12553, 1296, 267, 476, 2004, 2395, 1475, 8624, 4861, 807, 2008, 16085, 342, 9564, 918, 3315, 534, 8061, 1475, 300, 1475, 2918, 4873, 476, 6942, 277, 1475, 1321, 5147, 476, 1220, 275, 1475, 12553, 1296, 267, 476, 1626, 2395, 1475, 19328, 2008, 347, 19365, 9652, 1475, 300, 1475, 279, 2904, 476, 6642, 272, 1475, 1428, 2904, 476, 1220, 280, 1475, 12553, 1296, 267, 476, 278, 2395, 1475, 18197, 2276, 2008, 30054, 340, 334, 2725, 714, 1156, 1475, 293, 1475, 280, 5147, 476, 6642, 276, 1475, 280, 4873, 476, 1001, 274, 1475, 14096, 1296, 267, 476, 28178, 2395, 1475, 19770, 2008, 347, 17315, 3570, 645, 2246, 16695, 632, 3288, 15443, 601, 7559, 14339, 337, 6403, 326, 22222, 1475, 293, 1475, 273, 5988, 476, 6642, 276, 1475, 2190, 5412, 476, 1001, 273, 1475, 14096, 1296, 267, 476, 30444, 2395, 1475, 290, 18866, 2008, 347, 295, 531, 574, 3752, 332, 1794, 1475, 293, 1475, 272, 5147, 476, 6642, 275, 1475, 3066, 4728, 476, 1001, 273, 1475, 14096, 1296, 267, 476, 26604, 2395, 1475, 307, 584, 4486, 2008, 30106, 3333, 4176, 601, 334, 667, 7702, 16334, 7588, 320, 1475, 293, 1475, 275, 2904, 476, 6642, 271, 1475, 1691, 5130, 476, 1220, 279, 1475, 14096, 1296, 267, 476, 14838, 2395, 1475, 21026, 4000, 2008, 347, 8867, 18588, 2142, 1356, 571, 700, 3518, 516, 6652, 1475, 293, 1475, 4029, 4864, 476, 6642, 278, 1475, 866, 4728, 476, 1001, 276, 1475, 14096, 1296, 267, 476, 1220, 2395, 1475, 300, 1410, 4815, 2008, 347, 301, 545, 15614, 14205, 514, 1475, 300, 1475, 1704, 4989, 476, 12293, 279, 1475, 3066, 5437, 476, 6245, 275, 1475, 14695, 1296, 267, 476, 26297, 2395, 1475, 305, 17892, 2008, 23277, 7559, 22167, 9809, 531, 1407, 13121, 16114, 657, 1475, 293, 1475, 2190, 4873, 476, 6245, 271, 1475, 1428, 5412, 476, 1001, 277, 1475, 14695, 1296, 267, 476, 14690, 2395, 1475, 24154, 7588, 2008, 347, 13051, 17010, 6742, 6403, 928, 345, 2806, 5766, 17505, 1475, 300, 1475, 866, 4873, 476, 6642, 271, 1475, 1556, 5239, 476, 1220, 277, 1475, 14695, 1296, 267, 476, 14625, 2395, 1475, 290, 18866, 2008, 23277, 1173, 541, 7534, 30086, 19561, 1475, 293, 1475, 1789, 4728, 476, 6942, 279, 1475, 2767, 2904, 476, 1220, 275, 1475, 14695, 1296, 267, 476, 6812, 2395, 1475, 6635, 7217, 2088, 2008, 347, 297, 11055, 2717, 6674, 1475, 300, 1475, 1839, 5412, 476, 5908, 280, 1475, 278, 5181, 476, 1960, 276, 1475, 10219, 1296, 267, 476, 19054, 2395, 1475, 18197, 2276, 2008, 347, 301, 19441, 3331, 500, 345, 339, 684, 9809, 1475, 300, 1475, 272, 5147, 476, 6642, 276, 1475, 277, 4728, 476, 1001, 272, 1475, 10219, 1296, 267, 476, 27886, 2395, 1475, 307, 584, 4486, 2008, 347, 297, 10224, 10548, 657, 1475, 300, 1475, 2190, 4873, 476, 6642, 271, 1475, 2190, 5130, 476, 1220, 277, 1475, 10219, 1296, 267, 476, 20969, 2395, 1475, 18197, 2276, 2008, 347, 6781, 699, 11445, 24553, 1475, 293, 1475, 1626, 4864, 476, 6942, 279, 1475, 1240, 5130, 476, 1220, 275, 1475, 10219, 1296, 267, 476, 14028, 2395, 1475, 294, 327, 3570, 2008, 347, 2304, 3534, 966, 1170, 518, 1475, 293, 1475, 1839, 5412, 476, 6942, 279, 1475, 279, 5130, 476, 1220, 275, 1475, 10219, 1296, 267, 476, 1691, 2395, 1475, 301, 600, 28992, 2008, 23277, 7559, 18264, 601, 341, 2088, 13121, 16114, 657, 1475, 293, 1475, 1428, 5147, 476, 6942, 279, 1475, 279, 4728, 476, 1220, 274, 1475, 14862, 1296, 267, 476, 26951, 2395, 1475, 24154, 7588, 2008, 347, 295, 340, 962, 12317, 24578, 328, 1475, 293, 1475, 1015, 5988, 476, 6642, 276, 1475, 2190, 4864, 476, 1220, 280, 1475, 14862, 1296, 267, 476, 4198, 2395, 1475, 307, 2967, 9774, 2008, 24820, 3944, 18372, 2605, 573, 1475, 300, 1475, 2190, 2904, 476, 5908, 277, 1475, 2764, 5147, 476, 1960, 271, 1475, 14862, 1296, 267, 476, 4792, 2395, 1475, 6635, 7217, 2088, 2008, 23277, 7559, 7638, 1170, 24982, 632, 4223, 657, 1475, 293, 1475, 276, 4873, 476, 6642, 279, 1475, 1704, 4873, 476, 1001, 273, 1475, 14862, 1296, 267, 476, 1321, 2395, 1475, 24154, 7588, 2008, 23277, 926, 600, 2549, 1662, 1475, 293, 1475, 322, 269, 476, 6642, 279, 1475, 2420, 5412, 476, 1001, 273, 1475, 13627, 269, 476, 14862, 1296, 1475, 29994, 2008, 347, 2304, 320, 9410, 3873, 13005, 8125, 9366, 1475, 293, 1475, 1839, 4864, 476, 6642, 271, 1475, 2767, 5147, 476, 1220, 275, 1475, 11277, 1296, 267, 476, 29876, 2395, 1475, 24154, 7588, 2008, 18871, 1301, 601, 334, 4469, 2803, 23718, 1475, 300, 1475, 1626, 5147, 476, 6245, 271, 1475, 280, 4873, 476, 1001, 275, 1475, 11277, 1296, 267, 476, 29044, 2395, 1475, 289, 565, 14746, 2008, 347, 6635, 11037, 32149, 1475, 300, 1475, 2764, 4873, 476, 5908, 271, 1475, 1428, 4989, 476, 2735, 275, 1475, 11277, 1296, 267, 476, 29580, 2395, 1475, 18197, 2276, 2008, 347, 295, 6072, 1234, 343, 3873, 1475, 293, 1475, 1691, 4864, 476, 6642, 271, 1475, 279, 5437, 476, 1220, 274, 1475, 11277, 1296, 267, 476, 10436, 2395, 1475, 2704, 3316, 807, 2008, 347, 301, 7666, 344, 12782, 483, 333, 774, 12782, 489, 2558, 383, 373, 1475, 293, 1475, 275, 2904, 476, 6245, 274, 1475, 1321, 5147, 476, 1001, 277, 1475, 11277, 1296, 267, 476, 7597, 2395, 1475, 309, 28126, 2008, 30106, 584, 1575, 340, 13667, 7159, 328, 1475, 300, 1475, 276, 5988, 476, 6245, 273, 1475, 4148, 269, 476, 2918, 5988, 476, 1001, 276, 1475, 11277, 1296, 267, 476, 2641, 2395, 1475, 19770, 2008, 30054, 633, 700, 1513, 323, 2660, 1475, 293, 1475, 277, 4864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1985, 1032, 267, 602, 519, 18917, 6854, 922, 19700, 5483, 540, 519, 4853, 19727, 543, 11018, 11610, 3297, 519, 16716, 693, 519, 717, 323, 13089, 6928, 29288, 563, 4415, 3377, 3395, 540, 17522, 538, 12996, 267, 11339, 30197, 267, 519, 3028, 10393, 9715, 23146, 1851, 711, 1152, 14470, 855, 1631, 1875, 6261, 565, 880, 19700, 912, 763, 10605, 543, 3196, 540, 891, 2621, 9575, 519, 3007, 540, 519, 1158, 543, 4547, 3377, 827, 12996, 606, 3486, 9029, 543, 4059, 2329, 602, 621, 1522, 6382, 723, 26218, 269, 898, 849, 5921, 602, 519, 18917, 779, 14470, 3977, 3576, 593, 3152, 4644, 1312, 1369, 519, 18917, 267, 607, 606, 4274, 3705, 614, 540, 2621, 267, 543, 609, 9458, 538, 12996, 5275, 1875, 6261, 565, 880, 1533, 2959, 547, 10146, 1018, 729, 8345, 563, 1103, 519, 2038, 476, 2735, 271, 338, 1107, 543, 3226, 1310, 519, 4367, 540, 19831, 1876, 1107, 972, 729, 4901, 602, 519, 18917, 1058, 4228, 3795, 1369, 12996, 267, 855, 1813, 547, 7616, 2152, 267, 713, 2760, 5949, 269, 1924, 519, 14470, 8791, 1185, 547, 11690, 519, 7934, 267, 609, 519, 3028, 21248, 3606, 2011, 5503, 563, 5475, 19831, 1876, 729, 5189, 267, 519, 3028, 5185, 513, 25954, 540, 795, 2459, 532, 1107, 855, 713, 942, 930, 15961, 941, 13739, 593, 5420, 5951, 267, 799, 3177, 519, 1034, 2500, 3781, 6066, 4584, 1575, 2175, 563, 6097, 547, 5638, 538, 519, 18917, 18838, 25201, 10418, 267, 20926, 676, 30197, 267, 19700, 538, 12996, 2366, 5022, 547, 519, 3028, 982, 6362, 873, 585, 10311, 563, 763, 8950, 2637, 3780, 519, 4004, 1235, 16393, 333, 1406, 5776, 454, 296, 6432, 547, 596, 1169, 1554, 269, 8307, 596, 2995, 519, 5168, 31218, 941, 621, 711, 585, 596, 649, 1131, 723, 1100, 2856, 1018, 779, 2469, 593, 538, 713, 2197, 563, 8266, 10273, 689, 717, 323, 2106, 807, 267, 4924, 476, 2735, 273, 454, 763, 3296, 729, 849, 18460, 922, 1378, 2242, 2429, 519, 476, 2735, 271, 338, 269, 30197, 4967, 602, 5752, 729, 3001, 2476, 689, 5396, 2048, 7474, 1705, 711, 4482, 24890, 538, 12996, 685, 547, 1445, 2048, 517, 1346, 3688, 540, 1344, 827, 799, 519, 26575, 729, 17792, 1569, 9957, 901, 5921, 6237, 4690, 941, 3922, 2213, 1107, 513, 6521, 689, 8912, 18917, 2259, 267, 799, 4847, 519, 6728, 811, 1852, 936, 5752, 267, 2864, 982, 4470, 593, 3844, 2213, 1570, 563, 1607, 8476, 31218, 519, 1279, 2245, 540, 798, 32717, 3917, 712, 1345, 31076, 1369, 519, 14470, 8791, 30385, 316, 621, 849, 2322, 519, 14470, 8791, 593, 513, 1114, 21107, 1576, 689, 824, 1893, 2533, 693, 17312, 5600, 563, 5475, 519, 2686, 1625, 2471, 540, 4728, 476, 3422, 279, 267, 8591, 30197, 267, 519, 3028, 1185, 13175, 547, 7048, 811, 593, 2048, 320, 3060, 540, 1019, 19166, 545, 6402, 602, 4448, 1496, 527, 316, 547, 1514, 6963, 5322, 1369, 12996, 543, 20527, 332, 580, 28584, 14540, 2324, 593, 741, 15773, 1472, 519, 1158, 685, 1107, 1519, 519, 9730, 585, 519, 4347, 775, 540, 519, 20709, 267, 799, 2048, 11526, 519, 4295, 540, 519, 20348, 10846, 3350, 9957, 2060, 519, 3028, 2016, 519, 21107, 5191, 547, 946, 891, 4296, 267, 519, 18917, 779, 3977, 729, 4129, 1881, 267, 543, 14470, 3795, 9450, 563, 4517, 1310, 519, 717, 323, 13089, 15716, 538, 476, 2735, 271, 267, 30197, 4967, 602, 519, 3028, 729, 849, 2016, 3606, 31076, 3255, 563, 299, 633, 5717, 10452, 4744, 1211, 6644, 689, 1369, 12996, 1107, 3592, 796, 20459, 762, 25656, 1107, 2968, 606, 1271, 630, 604, 1869, 2352, 547, 32427, 622, 264, 3693, 540, 3977, 563, 297, 2459, 532, 8694, 538, 476, 2735, 279, 267, 543, 609, 713, 849, 3357, 2048, 3467, 27093, 685, 5752, 267, 2687, 547, 667, 1014, 324, 13056, 1638, 338, 779, 476, 1960, 271, 5967, 609, 717, 1329, 2131, 3911, 6897, 267, 519, 2212, 540, 519, 3296, 693, 519, 942, 269, 17791, 7483, 11042, 941, 22555, 609, 2274, 577, 20613, 22119, 525, 320, 267, 607, 1134, 607, 13222, 540, 519, 19797, 9549, 1107, 543, 519, 6728, 2968, 2048, 1492, 1101, 5375, 5925, 6728, 547, 3489, 971, 11042, 22991, 17483, 288, 7043, 10158, 1677, 15213, 281, 645, 10165, 16071, 3245, 12996, 781, 476, 2735, 271, 338, 454, 1607, 4847, 1114, 2797, 2093, 547, 581, 22121, 543, 23503, 1256, 1354, 519, 18471, 7305, 12909, 538, 12996, 563, 8072, 296, 917, 602, 519, 18917, 14470, 8791, 786, 2760, 581, 607, 1271, 607, 621, 729, 1282, 519, 2112, 16224, 3911, 6897, 3773, 269, 2048, 3719, 649, 666, 581, 607, 6325, 543, 909, 3562, 15082, 607, 649, 941, 693, 602, 942, 1107, 602, 568, 938, 4305, 585, 519, 2104, 19028, 5475, 519, 2887, 540, 519, 11635, 4354, 1555, 454, 2704, 2819, 538, 519, 476, 1960, 271, 338, 267, 519, 6728, 729, 3206, 540, 922, 1007, 2104, 269, 2991, 519, 2887, 540, 519, 11635, 4354, 1555, 267, 519, 14470, 8791, 729, 2111, 547, 8831, 922, 3914, 547, 606, 1256, 9962, 5304, 281, 621, 24574, 1229, 609, 14470, 5925, 543, 5010, 10473, 267, 607, 1134, 607, 4259, 909, 606, 21107, 5604, 538, 32160, 538, 476, 1960, 277, 269, 634, 3028, 849, 2919, 513, 3896, 1107, 799, 3769, 2296, 1893, 6030, 563, 21132, 3377, 3977, 849, 4797, 547, 1217, 2717, 525, 1472, 519, 1158, 269, 769, 476, 1220, 275, 267, 621, 849, 4080, 593, 519, 24133, 540, 595, 8240, 22119, 1177, 21007, 22119, 657, 345, 269, 1656, 267, 950, 12996, 729, 8600, 585, 922, 1569, 542, 547, 519, 3864, 5742, 267, 519, 14470, 21107, 4604, 13739, 15961, 827, 519, 3889, 543, 4948, 3157, 540, 519, 9167, 269, 634, 3028, 7902, 547, 581, 2469, 689, 4222, 547, 4222, 563, 3719, 1287, 267, 538, 476, 1220, 276, 267, 519, 18917, 23384, 556, 6716, 5314, 267, 543, 621, 729, 4956, 602, 4557, 1893, 10473, 1058, 23271, 269, 2290, 540, 873, 729, 519, 14470, 8791, 563, 763, 2063, 5925, 10872, 729, 13739, 593, 476, 2537, 6113, 5412, 476, 1220, 276, 267, 543, 973, 11474, 519, 6728, 779, 3879, 686, 748, 267, 9432, 2358, 267, 2146, 16490, 1107, 1256, 952, 3006, 11786, 1107, 1686, 269, 589, 24214, 6202, 12129, 729, 4371, 693, 744, 3913, 7416, 334, 2717, 12921, 773, 519, 1739, 1032, 563, 7021, 519, 2250, 24239, 29350, 1296, 267, 1152, 513, 1906, 18797, 1004, 723, 1185, 519, 22632, 540, 4358, 513, 1982, 609, 519, 1913, 2048, 1607, 568, 5507, 6340, 685, 1107, 519, 1482, 1913, 602, 5507, 3323, 3292, 585, 32160, 1282, 519, 32160, 772, 19828, 543, 2663, 1282, 519, 21340, 5736, 269, 594, 993, 19914, 602, 594, 4866, 547, 713, 29341, 1895, 563, 289, 6195, 14470, 8791, 19784, 267, 6182, 345, 1122, 528, 345, 14088, 322, 5414, 330, 267, 6340, 547, 4964, 269, 680, 563, 16447, 2112, 13797, 454, 6277, 322, 1158, 3028, 454, 335, 3421, 538, 561, 5064, 454, 31673, 880, 2528, 538, 1390, 31564, 454, 24309, 676, 19201, 974, 645, 4958, 534, 267, 4119, 476, 1708, 271, 454, 306, 1545, 281, 536, 25900, 16691, 16896, 282, 1158, 2784, 1470, 20931, 2593, 282, 3397, 333, 625, 345, 6390, 5651, 337, 1170, 267, 2048, 763, 18917, 14470, 6796, 1282, 2622, 2782, 4083, 8730, 1133, 335, 21242, 16362, 531, 5098, 267, 4975, 2160, 540, 5507, 267, 476, 1001, 277, 282, 21322, 717, 14792, 9225, 543, 24640, 30197, 267, 15769, 267, 2048, 291, 5362, 1602, 553, 543, 24547, 558, 2329, 8730, 30296, 267, 476, 1001, 274, 282, 589, 269, 17664, 9652, 267, 681, 269, 26290, 2940, 3487, 320, 267, 15769, 267, 2048, 290, 1245, 2782, 16340, 26511, 8730, 9460, 308, 4964, 267, 476, 1001, 271, 282, 22374, 5096, 625, 267, 2048, 305, 2358, 1412, 4510, 8730, 7754, 5839, 17524, 534, 267, 476, 1220, 279, 282, 3967, 3767, 752, 267, 2048, 290, 537, 8175, 689, 32160, 8730, 31722, 3557, 2160, 4964, 267, 476, 2735, 273, 0, 1432, 568, 1924, 327, 1031, 585, 888, 306, 710, 267, 15328, 710, 543, 19358, 550, 306, 710, 281, 810, 327, 2507, 7562, 263, 15184, 264, 815, 6587, 1315, 30494, 290, 27343, 281, 2507, 322, 1695, 2507, 6523, 263, 15184, 264, 815, 11105, 1315, 30494, 307, 836, 550, 281, 2507, 1729, 27979, 263, 15184, 264, 815, 6587, 1315, 11105, 563, 3963, 568, 11682, 513, 5609, 888, 8489, 1535, 568, 519, 5086, 267, 522, 568, 519, 3259, 540, 519, 6906, 2427, 6587, 519, 5086, 543, 554, 568, 519, 3259, 540, 519, 6906, 779, 30494, 269, 1403, 519, 3259, 540, 519, 6906, 2427, 6587, 1535, 568, 4857, 607, 533, 267, 1287, 533, 10774, 568, 5386, 269, 594, 666, 1294, 1946, 1210, 522, 607, 513, 4756, 2012, 1131, 581, 27209, 267, 2094, 621, 568, 3362, 19451, 585, 513, 4642, 563, 3674, 623, 289, 513, 16009, 888, 11927, 269, 634, 5223, 540, 13902, 630, 335, 264, 547, 3490, 630, 321, 264, 540, 519, 6906, 568, 1572, 519, 17242, 540, 519, 5086, 14668, 269, 16009, 14668, 815, 533, 11486, 269, 2201, 12270, 19362, 543, 14009, 676, 554, 649, 1205, 563, 1432, 568, 16429, 327, 476, 272, 343, 888, 763, 5409, 26382, 20534, 1599, 267, 5609, 327, 343, 267, 568, 835, 3562, 14633, 267, 543, 4061, 814, 513, 1134, 20452, 11201, 267, 5609, 327, 6629, 272, 343, 267, 3254, 538, 4544, 538, 519, 4137, 269, 2560, 1635, 15007, 267, 5430, 327, 6629, 272, 343, 568, 3144, 547, 1611, 519, 2318, 1297, 586, 971, 602, 1535, 284, 6523, 1506, 563, 1432, 568, 595, 846, 577, 888, 322, 846, 577, 538, 3703, 2296, 630, 16659, 330, 16745, 390, 488, 338, 389, 505, 339, 390, 481, 2073, 910, 338, 389, 505, 330, 264, 5409, 26382, 524, 846, 322, 656, 282, 513, 5409, 26382, 1599, 602, 568, 519, 23483, 540, 5609, 327, 269, 19811, 2296, 9218, 563, 1432, 568, 670, 538, 29890, 888, 5445, 616, 4061, 3006, 1572, 519, 5409, 26382, 3252, 630, 327, 585, 5409, 26382, 1040, 3502, 566, 543, 12332, 269, 568, 606, 28008, 585, 2048, 6523, 710, 5409, 26382, 8730, 543, 563, 1432, 568, 16429, 327, 3160, 547, 888, 7562, 327, 3287, 264, 815, 630, 608, 1107, 552, 14870, 3738, 270, 273, 269, 524, 338, 577, 3287, 264, 815, 476, 272, 4882, 514, 327, 3287, 264, 815, 476, 273, 14370, 608, 1107, 552, 14870, 3738, 5430, 327, 3287, 264, 815, 630, 552, 1535, 1341, 552, 910, 343, 3738, 270, 273, 269, 694, 577, 3287, 264, 815, 476, 272, 270, 6523, 327, 3287, 264, 815, 476, 273, 14370, 608, 1341, 552, 14870, 3738, 16009, 327, 3287, 264, 815, 5609, 327, 3287, 8358, 6523, 327, 3287, 264, 815, 630, 608, 1107, 552, 14870, 3738, 14370, 608, 1341, 552, 14870, 12467, 3963, 568, 18000, 16429, 15328, 888, 306, 514, 568, 3160, 547, 519, 2427, 6587, 519, 5086, 602, 596, 616, 10647, 519, 3252, 593, 936, 519, 30494, 799, 568, 519, 13074, 2427, 538, 519, 6906, 269, 15328, 568, 11105, 936, 30494, 269, 1656, 16009, 568, 6587, 936, 11105, 267, 799, 1797, 16009, 568, 5609, 270, 6523, 563, 3674, 18000, 327, 9642, 610, 1256, 888, 11927, 327, 910, 343, 815, 910, 11927, 327, 1535, 8058, 602, 16009, 327, 1535, 568, 606, 9642, 1599, 269, 28171, 602, 5430, 327, 1535, 568, 1256, 543, 5609, 327, 1535, 568, 9642, 269, 4855, 519, 1448, 593, 586, 815, 5430, 327, 1535, 7455, 267, 1141, 519, 13506, 568, 835, 269, 0, 21132, 2012, 8580, 999, 909, 2592, 540, 513, 5432, 18912, 9661, 267, 855, 5741, 17926, 19594, 814, 3812, 930, 1360, 11141, 1483, 8996, 2164, 602, 1223, 4688, 519, 2729, 540, 5215, 540, 12517, 2192, 12256, 563, 763, 5063, 6192, 1079, 4458, 12681, 1982, 693, 2947, 4791, 4609, 538, 4993, 1107, 1519, 8863, 8016, 5753, 779, 1107, 5280, 7189, 3077, 513, 4816, 779, 1808, 4719, 2068, 538, 513, 2339, 540, 2395, 267, 3079, 540, 519, 2185, 547, 3670, 4374, 2838, 585, 3044, 4719, 4255, 563, 6546, 1797, 18334, 21904, 3056, 547, 18334, 5574, 267, 1447, 942, 538, 519, 6413, 543, 811, 4267, 585, 14221, 3237, 563, 17606, 666, 581, 513, 1483, 3014, 1680, 518, 2223, 1767, 3220, 269, 26778, 26427, 267, 513, 12963, 2565, 1416, 10629, 543, 2564, 8689, 540, 8863, 8016, 779, 12963, 14021, 1416, 1770, 543, 835, 540, 519, 10629, 5012, 593, 519, 1788, 269, 968, 2005, 779, 513, 1907, 649, 4769, 1406, 723, 513, 1906, 1296, 3516, 3034, 2419, 4474, 519, 3014, 454, 3528, 14139, 4028, 2898, 11646, 15971, 630, 337, 310, 14899, 1070, 7189, 1223, 5531, 4105, 1344, 602, 4957, 519, 3664, 3885, 543, 19353, 1500, 267, 543, 6038, 10710, 2729, 543, 2200, 269, 634, 5650, 814, 13840, 1044, 1031, 1152, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 9803, 1871, 540, 9197, 630, 272, 269, 1691, 264, 729, 538, 4591, 1054, 18319, 3798, 592, 529, 2249, 543, 519, 5207, 630, 274, 269, 3451, 264, 538, 634, 6352, 7974, 1323, 11446, 269, 634, 9803, 1871, 540, 631, 333, 630, 272, 269, 2918, 264, 729, 538, 4591, 1054, 18319, 3798, 592, 529, 2249, 543, 519, 5207, 630, 3953, 269, 6858, 264, 538, 24695, 961, 2684, 690, 3780, 1975, 10306, 1092, 269, 634, 15868, 2418, 540, 519, 2063, 1079, 8407, 616, 711, 2016, 538, 519, 14570, 1014, 2920, 269, 2201, 519, 4493, 540, 9803, 3620, 580, 4554, 2418, 267, 621, 568, 11943, 602, 519, 1482, 1079, 2249, 1775, 4318, 1421, 4591, 1054, 22202, 2274, 826, 2214, 559, 7974, 543, 634, 6352, 7974, 1323, 11446, 1058, 581, 16934, 689, 519, 2204, 762, 2249, 540, 4262, 31480, 563, 25321, 12710, 4785, 12778, 281, 634, 3328, 607, 1134, 607, 519, 9803, 3620, 580, 4554, 2418, 540, 519, 8990, 540, 1306, 267, 623, 321, 267, 595, 323, 267, 19923, 267, 9197, 267, 31626, 543, 631, 333, 9830, 538, 4262, 31480, 941, 3379, 609, 519, 15868, 2418, 2687, 547, 519, 14570, 1014, 5253, 2920, 540, 2735, 274, 543, 7939, 540, 476, 2735, 276, 269, 898, 729, 11943, 602, 1079, 2249, 540, 4262, 31480, 1775, 4318, 1421, 4591, 1054, 22202, 2274, 826, 2214, 559, 7974, 543, 634, 6352, 7974, 1323, 11446, 1058, 711, 581, 10057, 12725, 543, 29633, 18246, 269, 634, 3670, 824, 2249, 616, 3514, 585, 1480, 4616, 543, 666, 581, 29633, 563, 19272, 301, 8582, 29612, 294, 4932, 19006, 281, 1284, 616, 18507, 547, 938, 8783, 27637, 267, 11427, 2098, 664, 629, 589, 2006, 585, 519, 948, 609, 594, 9573, 5336, 306, 6293, 543, 547, 10713, 16951, 17111, 17939, 1695, 585, 3246, 519, 1382, 6703, 538, 519, 1153, 540, 5253, 3163, 543, 12594, 563, 3918, 29052, 27301, 2464, 272, 269, 6781, 23437, 681, 1794, 2131, 267, 674, 6993, 1421, 19869, 601, 31670, 2006, 267, 590, 13034, 1421, 20700, 1744, 574, 344, 267, 715, 6993, 1421, 543, 744, 3405, 267, 670, 6993, 10611, 788, 8793, 10334, 540, 519, 23427, 7256, 595, 1075, 3784, 4591, 1054, 22202, 2311, 571, 661, 24739, 25866, 1092, 281, 29804, 1054, 1755, 728, 320, 264, 538, 519, 2699, 4262, 5032, 540, 5527, 269, 12266, 4750, 540, 13985, 1738, 3194, 1421, 476, 4029, 263, 273, 2567, 4343, 274, 268, 29710, 269, 476, 1220, 7367, 269, 1323, 517, 269, 16316, 30656, 10803, 476, 1960, 272, 268, 1220, 271, 269, 4972, 1993, 30656, 17939, 1695, 267, 918, 7974, 20943, 629, 2728, 267, 17939, 1695, 269, 476, 1220, 6734, 269, 2419, 5622, 623, 2129, 4149, 2763, 543, 631, 269, 808, 269, 13879, 269, 30656, 13870, 538, 5607, 281, 898, 781, 10020, 538, 5253, 8232, 543, 12594, 269, 715, 8980, 288, 267, 2622, 12551, 4741, 22588, 569, 267, 476, 2918, 281, 476, 273, 269, 476, 1220, 4097, 269, 2419, 5622, 623, 2129, 4149, 2763, 543, 631, 269, 808, 269, 13879, 269, 30656, 267, 11780, 543, 13139, 3074, 540, 7256, 595, 1075, 3784, 538, 17111, 269, 9501, 290, 645, 1815, 515, 11546, 268, 5789, 6176, 28743, 267, 476, 736, 281, 476, 2767, 268, 3066, 269, 476, 1220, 275, 269, 276, 269, 5719, 680, 8354, 267, 631, 13034, 1421, 543, 14175, 11312, 267, 623, 2529, 269, 17738, 540, 6042, 543, 13250, 540, 10250, 8407, 538, 7286, 29068, 269, 3281, 269, 4437, 32554, 269, 4284, 2723, 269, 476, 9032, 290, 281, 476, 272, 268, 278, 269, 630, 1960, 271, 1040, 277, 269, 25300, 14741, 267, 631, 15660, 1421, 590, 269, 18771, 2378, 320, 267, 623, 269, 21193, 1047, 6851, 14765, 543, 590, 6993, 269, 570, 926, 336, 6185, 626, 9084, 540, 5230, 8407, 538, 26869, 267, 4262, 21439, 543, 4262, 29475, 630, 29804, 1054, 22202, 1085, 4599, 320, 1070, 543, 922, 6286, 585, 4262, 10443, 4221, 538, 17939, 1695, 14570, 1014, 645, 11448, 334, 269, 3163, 4139, 11783, 476, 1691, 263, 272, 2567, 476, 3066, 268, 3953, 269, 630, 1220, 273, 1040, 278, 5861, 14371, 269, 32746, 320, 267, 25684, 267, 1898, 640, 543, 17219, 540, 10250, 2609, 538, 1480, 1072, 17449, 31834, 540, 6925, 267, 2918, 281, 20720, 28192, 269, 630, 1220, 276, 264, 279, 10611, 14389, 269, 21919, 541, 592, 267, 543, 681, 573, 345, 9774, 267, 645, 13034, 269, 17392, 543, 12525, 21978, 31280, 540, 7256, 595, 1075, 13246, 630, 292, 24739, 25866, 1092, 281, 4591, 1054, 1755, 728, 320, 264, 538, 11153, 7377, 2827, 540, 17111, 269, 4139, 10985, 593, 12713, 613, 2762, 543, 26085, 281, 28615, 538, 7203, 1177, 752, 268, 476, 5611, 13012, 13536, 267, 476, 1724, 268, 1428, 20809, 267, 918, 1276, 532, 267, 7203, 1177, 752, 267, 17111, 267, 533, 269, 476, 18597, 269, 476, 1220, 6795, 269, 8110, 7219, 4432, 1067, 269, 6651, 547, 22803, 2079, 689, 519, 3401, 538, 21191, 267, 594, 9573, 14114, 2464, 543, 594, 9573, 5336, 306, 17125, 2023, 281, 3131, 7219, 4432, 1067, 267, 5549, 269, 1220, 275, 563, 347, 7468, 5793, 7874, 25737, 270, 15062, 19478, 24720, 2008, 347, 12041, 10573, 295, 1662, 14741, 267, 17124, 594, 336, 4472, 282, 774, 559, 752, 541, 267, 4860, 27821, 282, 26036, 572, 514, 267, 17124, 18498, 10822, 5204, 539, 282, 14208, 4302, 267, 2098, 1695, 597, 592, 2008, 347, 14630, 10573, 11321, 476, 4029, 267, 476, 1001, 275, 2008, 347, 28095, 9137, 10573, 9128, 293, 4488, 4811, 5508, 5442, 293, 4488, 2316, 302, 4785, 645, 7838, 306, 3201, 20591, 292, 17955, 966, 3722, 290, 12114, 10396, 5990, 594, 12613, 7419, 14510, 5442, 23604, 3633, 15760, 21832, 290, 17129, 4041, 20591, 292, 17955, 966, 3722, 290, 12114, 5442, 645, 4629, 6579, 2207, 645, 7644, 9169, 8198, 347, 9202, 9137, 10573, 9915, 4488, 9281, 2975, 14510, 5508, 667, 9281, 29052, 7728, 667, 8656, 294, 301, 5308, 12087, 570, 20168, 296, 27309, 11123, 744, 309, 12114, 22743, 4932, 2177, 6224, 5308, 3041, 8946, 4629, 308, 21203, 2910, 24165, 299, 8104, 13965, 12327, 4456, 2562, 9569, 269, 347, 0, 289, 9560, 4919, 2594, 543, 6402, 547, 1644, 1344, 2139, 689, 519, 7732, 540, 6837, 17048, 563, 9616, 281, 12937, 1239, 616, 3684, 6383, 1759, 593, 840, 1790, 3016, 566, 3177, 676, 519, 17404, 269, 12937, 949, 723, 7648, 689, 519, 9102, 1433, 610, 581, 18106, 610, 2270, 824, 8193, 563, 6944, 757, 6168, 519, 3798, 6002, 6168, 519, 19928, 12781, 5983, 5320, 7917, 590, 20672, 2401, 267, 1912, 6185, 269, 2776, 2183, 31158, 1194, 18488, 623, 11286, 594, 8791, 594, 10886, 1944, 4804, 24894, 538, 9119, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 269, 274, 3848, 476, 272, 8466, 543, 12634, 21126, 593, 19556, 4804, 24894, 21651, 15168, 22978, 267, 5484, 22548, 651, 267, 543, 5760, 382, 379, 548, 631, 8160, 269, 631, 9579, 665, 1723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 269, 278, 3848, 476, 273, 20223, 543, 7756, 11868, 19556, 4804, 24894, 543, 5262, 2159, 625, 5760, 382, 379, 548, 631, 8160, 269, 631, 9579, 665, 1723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 269, 3066, 3848, 476, 274, 2776, 28700, 540, 25833, 21619, 20412, 807, 25288, 590, 269, 1744, 1446, 341, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 907, 5392, 8791, 4083, 15465, 543, 6176, 14409, 17972, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 269, 8618, 3848, 476, 275, 6176, 268, 3682, 22422, 4347, 545, 1080, 538, 21619, 20412, 807, 20574, 19643, 10290, 543, 966, 643, 1014, 1234, 580, 6242, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 907, 4792, 3848, 476, 276, 15613, 2422, 267, 7043, 31645, 15350, 267, 543, 11554, 15350, 27519, 6424, 595, 269, 2983, 776, 267, 6307, 918, 269, 670, 13635, 267, 700, 4673, 715, 1872, 550, 267, 543, 26391, 1635, 6113, 4211, 571, 1597, 269, 1547, 1547, 10695, 3848, 476, 277, 1684, 9293, 4032, 286, 22627, 9737, 9119, 543, 7335, 5262, 2159, 625, 27211, 595, 269, 16888, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 907, 13040, 3848, 476, 278, 26271, 10341, 543, 1160, 1636, 1308, 25705, 24697, 589, 269, 1261, 19816, 267, 24910, 808, 269, 966, 698, 328, 267, 543, 9478, 918, 269, 8776, 2471, 523, 27878, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 1862, 13199, 19410, 776, 593, 3487, 594, 267, 8791, 4083, 281, 15465, 31834, 540, 4569, 24894, 670, 269, 10557, 4210, 753, 517, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 18927, 15836, 623, 11286, 4083, 8791, 8633, 11671, 17595, 1670, 11790, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 1862, 15704, 3848, 476, 279, 19556, 4886, 538, 5753, 609, 16930, 5678, 6764, 1515, 906, 18281, 5213, 17427, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 1862, 14681, 3848, 476, 280, 634, 2552, 9084, 540, 15540, 3194, 547, 4197, 19556, 4804, 26225, 281, 634, 8865, 540, 32746, 850, 2473, 543, 25306, 5204, 526, 27689, 5760, 382, 379, 548, 631, 8160, 269, 631, 9579, 665, 1723, 267, 9253, 20811, 631, 269, 32298, 267, 543, 7812, 5062, 5141, 657, 4486, 32723, 32723, 269, 15876, 3848, 476, 1015, 19556, 24894, 538, 5556, 523, 1388, 543, 21733, 1600, 11671, 16467, 11365, 15136, 16205, 807, 589, 269, 4446, 5886, 267, 10793, 631, 269, 674, 2280, 7815, 267, 543, 27692, 661, 9405, 4211, 984, 2125, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 4198, 3848, 476, 1556, 19556, 13437, 540, 4841, 609, 11838, 281, 15465, 543, 19884, 19928, 12781, 543, 3955, 6761, 17638, 590, 269, 2098, 550, 718, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 269, 25546, 3848, 476, 1321, 11671, 17595, 1670, 8865, 5525, 593, 25226, 14409, 23718, 2098, 600, 4115, 267, 5981, 700, 382, 379, 19649, 7304, 565, 382, 379, 333, 267, 543, 12540, 732, 974, 5548, 1794, 518, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 25090, 25265, 7728, 14473, 593, 3487, 4083, 267, 8791, 8633, 11671, 17595, 1670, 11790, 31929, 18409, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 25228, 8791, 10001, 11671, 6798, 1670, 543, 18726, 4427, 1598, 919, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 1862, 29344, 3848, 476, 1724, 11671, 534, 520, 13929, 22604, 547, 519, 5530, 540, 19556, 31727, 543, 26225, 25414, 808, 269, 17363, 543, 19626, 631, 269, 5211, 320, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 27543, 3848, 476, 1691, 26592, 21834, 543, 19556, 2806, 1988, 270, 11514, 3809, 15537, 8891, 18115, 543, 7917, 1773, 7631, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 28906, 623, 11286, 8633, 8791, 966, 16952, 14118, 1878, 593, 19556, 5262, 2159, 625, 32723, 32723, 32723, 32723, 32723, 32723, 269, 23283, 3848, 476, 1428, 1772, 4569, 17520, 513, 19556, 4804, 26225, 286, 4460, 670, 269, 12891, 8154, 267, 22819, 3240, 589, 269, 26689, 2224, 267, 1299, 667, 699, 330, 681, 269, 14929, 14150, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 31696, 3848, 476, 1626, 14118, 1878, 540, 13834, 267, 23532, 640, 267, 543, 31802, 593, 19556, 13437, 6276, 631, 269, 20858, 518, 543, 681, 6511, 9931, 525, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 23463, 23463, 23463, 23463, 23463, 23463, 23463, 4097, 280, 8791, 17886, 19019, 531, 3955, 6761, 18927, 18927, 2807, 3607, 280, 3848, 476, 1704, 7216, 27800, 585, 5753, 693, 11485, 540, 15043, 19556, 4804, 5262, 2159, 625, 1744, 16336, 26186, 514, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723, 32723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1053, 966, 3201, 308, 2464, 2891, 266, 992, 9131, 573, 11172, 266, 2580, 1412, 257, 266, 992, 9131, 4067, 11172, 266, 257, 3299, 834, 266, 992, 9131, 720, 11172, 266, 8442, 4840, 1363, 524, 20216, 31146, 6262, 30113, 2020, 258, 524, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 887, 3122, 966, 3201, 308, 2464, 263, 273, 267, 1412, 6369, 7838, 2894, 3299, 715, 26097, 267, 715, 26097, 267, 715, 26097, 264, 8442, 570, 12239, 15382, 8025, 692, 258, 22056, 3349, 609, 4610, 689, 1312, 26417, 6119, 454, 258, 4971, 815, 834, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 887, 3122, 630, 573, 21850, 9680, 2207, 267, 2012, 570, 28692, 267, 2085, 21850, 9680, 2207, 267, 3009, 570, 28692, 267, 1665, 21850, 9680, 2207, 17983, 16875, 1948, 1449, 14069, 588, 31198, 538, 13483, 29411, 274, 7387, 267, 4688, 607, 5569, 454, 258, 524, 20216, 31146, 263, 12252, 264, 825, 1948, 2196, 14069, 3948, 692, 258, 16647, 3634, 887, 3122, 609, 2418, 689, 1053, 9598, 934, 547, 2361, 454, 258, 585, 4737, 538, 1053, 291, 1112, 912, 258, 672, 524, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 887, 3122, 21850, 715, 26097, 5602, 258, 672, 585, 1883, 538, 4737, 912, 258, 1363, 4699, 323, 815, 834, 27486, 12224, 834, 692, 28744, 887, 3122, 692, 258, 25275, 13117, 7529, 2525, 692, 27219, 2593, 2466, 3890, 1948, 338, 1511, 2242, 692, 258, 524, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 887, 3122, 5602, 28744, 6262, 8807, 21255, 718, 31156, 27219, 25379, 3890, 476, 1948, 29148, 6538, 454, 0, 5814, 11885, 5897, 3698, 1608, 7272, 641, 6958, 5893, 263, 3225, 566, 17750, 338, 267, 1402, 8029, 825, 1948, 29626, 519, 8516, 1871, 540, 1142, 3070, 538, 519, 1699, 2551, 23228, 825, 1948, 634, 8516, 1599, 1608, 12885, 519, 2040, 540, 2472, 1063, 1142, 3403, 543, 922, 7222, 2597, 23228, 825, 8516, 815, 11885, 27904, 9638, 641, 265, 3225, 566, 17750, 338, 267, 7852, 284, 272, 3418, 825, 2132, 8516, 5897, 3698, 2824, 8548, 908, 7272, 944, 9638, 641, 267, 8516, 267, 1003, 7272, 1861, 338, 8029, 825, 1948, 29922, 519, 1655, 2043, 538, 519, 1699, 5108, 607, 3237, 585, 6721, 519, 15556, 540, 519, 1985, 5108, 23228, 825, 3237, 815, 11885, 269, 24105, 9230, 11133, 7272, 1861, 338, 267, 1402, 17482, 314, 272, 8079, 3418, 825, 585, 2385, 19571, 538, 2039, 16325, 7272, 1861, 338, 8029, 1038, 3193, 6958, 5893, 16182, 343, 815, 11885, 269, 3602, 6600, 5893, 2652, 11885, 269, 3133, 6600, 5893, 17903, 1038, 3193, 6958, 5893, 16182, 343, 815, 3193, 6958, 5893, 16182, 343, 314, 271, 6012, 271, 15947, 1038, 3237, 314, 8001, 19571, 267, 2433, 316, 815, 1402, 314, 10946, 6958, 5893, 16182, 343, 267, 2433, 15947, 1038, 8516, 314, 10946, 6958, 5893, 16182, 343, 316, 815, 476, 15886, 15886, 15886, 4200, 1477, 825, 2132, 3237, 5897, 3698, 31832, 20108, 263, 18499, 267, 15556, 15481, 8029, 825, 15556, 815, 11885, 269, 24105, 263, 26160, 7428, 15481, 3418, 825, 1948, 634, 1448, 693, 799, 31832, 20108, 3217, 1747, 1063, 1079, 3237, 269, 15394, 267, 621, 568, 693, 519, 4099, 23228, 825, 31832, 20108, 318, 4812, 815, 11885, 269, 340, 842, 279, 263, 26160, 7428, 15481, 314, 272, 316, 270, 273, 10142, 825, 585, 737, 538, 2039, 263, 26160, 7428, 15481, 314, 271, 316, 8029, 1038, 1948, 12039, 540, 519, 1101, 2385, 547, 19898, 23228, 1038, 2385, 272, 16182, 343, 815, 737, 260, 18499, 17482, 314, 271, 15947, 1038, 1948, 12039, 540, 519, 2034, 2385, 547, 19898, 23228, 1038, 2385, 273, 16182, 343, 815, 630, 330, 266, 272, 264, 260, 18499, 17482, 314, 271, 15947, 1038, 1948, 634, 1007, 15556, 786, 723, 922, 1101, 3368, 540, 922, 6090, 3144, 689, 519, 1101, 2385, 23228, 1038, 15556, 25208, 267, 476, 271, 281, 322, 4592, 20108, 318, 4812, 316, 815, 3237, 314, 8001, 272, 16182, 343, 267, 476, 271, 281, 322, 4592, 20108, 318, 4812, 15947, 1038, 1948, 634, 1007, 15556, 786, 723, 922, 2034, 3368, 540, 922, 6090, 3144, 689, 519, 2034, 2385, 23228, 1038, 15556, 25208, 267, 31832, 20108, 318, 4812, 281, 316, 815, 3237, 314, 8001, 273, 16182, 343, 267, 31832, 20108, 318, 4812, 281, 15947, 825, 2132, 15556, 5897, 3698, 15817, 263, 26160, 7428, 6831, 4592, 20108, 267, 1003, 8548, 20706, 284, 272, 8029, 825, 1820, 2891, 300, 7473, 9569, 674, 7419, 290, 910, 5254, 11286, 14744, 825, 1820, 2891, 26160, 7428, 6831, 4592, 20108, 3337, 281, 2715, 271, 348, 2668, 8971, 263, 26160, 7428, 6831, 4592, 20108, 17482, 17903, 825, 13592, 6831, 3300, 815, 11885, 269, 340, 842, 279, 263, 26160, 7428, 6831, 4592, 20108, 17482, 314, 272, 316, 1315, 1003, 8548, 20706, 3418, 825, 1820, 2891, 332, 20706, 6831, 3300, 281, 2715, 271, 348, 2668, 8971, 9852, 20706, 6831, 3300, 264, 10142, 825, 1948, 631, 16615, 2242, 513, 1297, 540, 6090, 607, 3989, 676, 519, 1003, 8548, 20706, 4661, 269, 634, 2242, 616, 4351, 23228, 825, 585, 7329, 343, 538, 2039, 263, 26160, 7428, 6831, 4592, 20108, 17482, 314, 271, 316, 8029, 1038, 5444, 16182, 343, 815, 13592, 6831, 3300, 910, 476, 272, 1477, 1038, 585, 15817, 19571, 538, 2039, 16325, 8548, 20706, 8029, 2018, 1948, 634, 4351, 1871, 547, 581, 3773, 547, 519, 5444, 23228, 2018, 4351, 19056, 815, 11885, 20179, 269, 7538, 263, 29173, 284, 271, 269, 274, 264, 567, 1948, 11885, 20179, 26509, 6134, 8987, 272, 269, 271, 267, 476, 272, 269, 271, 267, 476, 272, 3418, 2018, 1820, 2891, 332, 583, 908, 4994, 281, 2715, 271, 348, 2715, 272, 348, 2668, 8971, 263, 30915, 267, 5444, 16182, 343, 17903, 2018, 15556, 6831, 4592, 20108, 314, 30915, 267, 5444, 16182, 343, 316, 815, 11885, 17085, 760, 263, 26160, 7428, 6831, 4592, 20108, 314, 30915, 267, 5444, 16182, 343, 316, 1341, 4351, 19056, 267, 476, 271, 267, 476, 276, 3418, 2018, 5444, 16182, 343, 815, 5444, 16182, 343, 1341, 13592, 6831, 3300, 5897, 825, 1820, 2891, 300, 7473, 9569, 674, 7419, 290, 910, 7736, 257, 10142, 825, 2132, 15556, 6831, 4592, 20108, 5897, 3698, 4573, 294, 320, 11701, 263, 26160, 7428, 267, 18665, 267, 29178, 267, 967, 335, 321, 8029, 825, 5727, 1607, 1599, 10039, 513, 32364, 11701, 15817, 540, 1611, 2608, 14153, 265, 543, 3044, 1477, 825, 11539, 2608, 18406, 265, 593, 519, 3403, 1367, 269, 901, 15817, 26770, 513, 1477, 825, 2433, 3410, 281, 319, 30084, 319, 1367, 7768, 540, 1483, 12595, 10305, 23228, 825, 634, 2608, 785, 335, 321, 265, 4661, 568, 519, 5506, 540, 1142, 14487, 547, 581, 4573, 730, 23228, 825, 2433, 12407, 1367, 281, 10572, 547, 581, 4573, 730, 23228, 825, 2433, 12407, 18665, 281, 6399, 610, 2433, 3410, 281, 319, 7090, 281, 30084, 319, 540, 1797, 585, 519, 1477, 25639, 32364, 11701, 1840, 15817, 23228, 825, 2433, 12407, 29178, 281, 9208, 11539, 610, 2433, 3410, 281, 319, 7090, 281, 30084, 319, 540, 1477, 4449, 476, 3044, 24017, 585, 519, 32364, 11701, 1840, 15817, 23228, 825, 2433, 12407, 967, 335, 321, 281, 18763, 5506, 585, 1142, 14487, 547, 581, 4573, 730, 23228, 825, 2433, 4958, 5281, 281, 589, 24042, 540, 835, 1367, 23228, 825, 901, 1599, 3096, 519, 2433, 325, 15635, 281, 319, 349, 12690, 20179, 319, 543, 2433, 325, 15635, 281, 319, 349, 12690, 3052, 320, 1380, 319, 1477, 825, 3252, 689, 519, 9226, 3490, 2433, 7116, 281, 319, 12690, 319, 9074, 23228, 825, 5727, 1477, 825, 1820, 2891, 332, 583, 294, 320, 11701, 281, 15556, 1826, 281, 2715, 271, 348, 2668, 8971, 263, 6943, 263, 26160, 7428, 4297, 3418, 825, 585, 1367, 538, 15556, 281, 5897, 1038, 2450, 815, 7003, 263, 785, 1339, 10142, 1038, 952, 7003, 9852, 340, 264, 2999, 2450, 6769, 2018, 6318, 12039, 13286, 2891, 14153, 1590, 581, 693, 2547, 519, 2450, 540, 1367, 281, 4939, 323, 2999, 4939, 323, 257, 4939, 630, 6352, 9852, 340, 1070, 2450, 17903, 1038, 952, 7003, 4433, 7950, 264, 2999, 2450, 6769, 2018, 6318, 12039, 13286, 2891, 18406, 1590, 581, 693, 2547, 519, 2450, 540, 1367, 281, 4939, 323, 2999, 4939, 323, 257, 4939, 630, 6352, 4433, 7950, 1070, 2450, 264, 10142, 1038, 585, 1775, 267, 544, 267, 521, 538, 23407, 263, 9792, 4433, 1125, 1070, 18665, 267, 29178, 8029, 2018, 952, 11885, 20179, 20179, 3890, 2999, 967, 335, 321, 6769, 3546, 1367, 5157, 316, 815, 11885, 17085, 760, 263, 785, 1339, 5157, 316, 1341, 11885, 20179, 269, 7538, 263, 29173, 284, 338, 1070, 476, 271, 267, 476, 2004, 10142, 825, 2132, 15556, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1587, 2496, 2162, 5753, 693, 14066, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2467, 616, 2185, 1453, 538, 513, 1920, 267, 1079, 6690, 267, 25562, 543, 22123, 267, 543, 1079, 8695, 267, 8751, 543, 5484, 269, 1215, 2025, 616, 519, 1453, 2496, 2162, 476, 272, 5153, 476, 273, 5153, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 299, 3554, 781, 2777, 814, 513, 25047, 13826, 609, 476, 1321, 3268, 269, 1261, 666, 979, 1524, 519, 3268, 835, 693, 513, 942, 610, 1079, 693, 942, 269, 769, 875, 1082, 1114, 2081, 666, 700, 3554, 979, 1524, 519, 476, 1321, 3268, 2496, 2162, 17006, 2353, 27607, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13014, 513, 1305, 540, 2338, 602, 946, 782, 519, 9704, 689, 476, 272, 547, 476, 280, 267, 2899, 543, 2899, 1152, 269, 5410, 873, 909, 269, 634, 1267, 568, 16883, 676, 476, 280, 269, 5410, 1142, 540, 519, 9704, 538, 519, 1007, 1297, 269, 1548, 568, 741, 2040, 286, 3767, 2119, 930, 269, 1547, 1547, 16317, 2162, 14520, 1049, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 763, 32671, 2165, 540, 513, 5311, 568, 2016, 676, 519, 4542, 562, 317, 274, 1341, 476, 1556, 333, 1547, 4855, 519, 1101, 2185, 2474, 540, 519, 5311, 2016, 676, 713, 4542, 543, 519, 1101, 2165, 540, 519, 5311, 799, 568, 8273, 982, 835, 2929, 269, 1547, 1547, 16317, 2162, 8414, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 12648, 1022, 2898, 1297, 1063, 476, 272, 543, 476, 15886, 267, 1039, 519, 10945, 540, 519, 9704, 547, 1205, 513, 1007, 1297, 269, 5269, 930, 28756, 999, 827, 1018, 4523, 538, 2489, 780, 2162, 18599, 8293, 4100, 910, 6828, 2914, 20564, 17130, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16521, 513, 7008, 540, 519, 9696, 269, 8347, 547, 4605, 875, 547, 1118, 519, 1985, 267, 543, 519, 1985, 267, 543, 519, 1985, 1862, 2052, 596, 4766, 707, 7744, 2496, 2162, 28688, 13174, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 303, 1157, 519, 1297, 540, 2053, 513, 3018, 602, 596, 3548, 10217, 269, 901, 1297, 1590, 581, 811, 982, 835, 855, 1447, 982, 4557, 269, 25092, 713, 1297, 676, 476, 273, 269, 5410, 476, 276, 630, 1721, 10732, 1040, 25092, 676, 476, 2004, 1862, 2052, 596, 2491, 1946, 621, 269, 1547, 1547, 16317, 2162, 3525, 476, 274, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 3682, 557, 602, 952, 513, 317, 273, 17070, 317, 273, 568, 513, 2789, 540, 476, 274, 1287, 1312, 513, 543, 536, 616, 23385, 540, 476, 274, 780, 2162, 667, 6005, 609, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1103, 875, 1082, 2081, 666, 596, 6582, 1614, 18062, 2427, 676, 2427, 593, 513, 2627, 865, 602, 519, 2040, 540, 519, 2338, 593, 1142, 540, 519, 2185, 8188, 630, 9008, 267, 5377, 267, 4395, 543, 1394, 264, 568, 3160, 2496, 2162, 9650, 1348, 518, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 2370, 3787, 540, 7223, 6941, 713, 1412, 332, 20723, 8339, 9105, 513, 3659, 547, 4584, 476, 274, 15654, 2338, 543, 547, 2995, 596, 513, 2789, 540, 476, 274, 269, 3973, 2307, 873, 547, 1039, 519, 2185, 2338, 543, 9062, 676, 476, 6858, 267, 543, 547, 2995, 596, 269, 1547, 1547, 16317, 2162, 18975, 540, 670, 8457, 328, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 18975, 540, 670, 8457, 328, 568, 606, 3504, 6310, 4161, 269, 11554, 593, 519, 2679, 7161, 949, 948, 596, 547, 2491, 519, 3270, 596, 5469, 780, 2162, 3619, 1280, 628, 543, 4937, 1047, 692, 7462, 8609, 281, 476, 274, 692, 8967, 31857, 3270, 666, 581, 606, 1271, 1101, 1900, 910, 7713, 1946, 621, 568, 3617, 547, 2489, 1047, 568, 519, 1985, 1900, 267, 543, 1419, 519, 1034, 4277, 543, 1271, 780, 2162, 18888, 898, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 10111, 787, 856, 28023, 32545, 540, 8370, 7857, 2338, 5627, 519, 9704, 689, 476, 272, 547, 476, 280, 630, 2863, 559, 596, 1205, 1394, 547, 519, 1101, 1297, 1040, 28171, 602, 8726, 1297, 596, 3442, 267, 789, 786, 1039, 547, 519, 1482, 2698, 780, 2162, 21121, 32389, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 27398, 568, 606, 31164, 6906, 543, 623, 568, 513, 1448, 538, 519, 9703, 540, 519, 6906, 269, 1284, 917, 602, 6673, 815, 476, 274, 9492, 543, 22680, 815, 476, 275, 9492, 269, 28171, 602, 8713, 1590, 581, 1447, 982, 476, 1015, 4699, 780, 2162, 19791, 543, 13158, 3930, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 1432, 568, 519, 1858, 540, 519, 29105, 6673, 302, 304, 286, 11554, 593, 519, 2679, 7161, 786, 2285, 596, 930, 4030, 602, 949, 948, 596, 547, 960, 621, 856, 780, 2162, 5149, 17773, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13706, 519, 3830, 476, 272, 21669, 1341, 476, 272, 11486, 1341, 476, 272, 11305, 815, 476, 272, 1141, 513, 267, 536, 543, 524, 616, 2067, 2338, 543, 476, 271, 2999, 513, 2999, 536, 2999, 524, 269, 28171, 602, 972, 568, 1152, 835, 1305, 540, 2418, 799, 14183, 713, 3830, 780, 2162, 1230, 557, 343, 12443, 326, 976, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 17004, 602, 1851, 519, 9703, 7285, 540, 513, 23756, 20372, 972, 3112, 581, 811, 982, 1614, 8650, 7285, 780, 2162, 18243, 3901, 2103, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 20059, 580, 622, 519, 9696, 5833, 676, 4358, 609, 1022, 2318, 476, 273, 7857, 1297, 630, 1015, 320, 17070, 264, 543, 14578, 1210, 519, 4341, 476, 1015, 320, 17070, 7851, 547, 476, 1015, 321, 8584, 547, 1205, 519, 1985, 1297, 538, 519, 5311, 780, 2162, 1280, 1548, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 3682, 557, 602, 952, 519, 8870, 562, 568, 16883, 676, 476, 275, 1287, 621, 666, 581, 2854, 607, 519, 3017, 540, 1079, 10945, 780, 2162, 18103, 1229, 590, 4548, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4131, 513, 3799, 264, 581, 519, 1297, 540, 2081, 540, 11589, 519, 8870, 562, 607, 606, 10288, 2040, 540, 476, 272, 781, 543, 476, 273, 781, 269, 2913, 536, 3799, 264, 581, 519, 1297, 540, 2081, 540, 11589, 562, 607, 606, 10288, 2040, 540, 9981, 3152, 982, 476, 272, 269, 630, 328, 264, 12433, 269, 1547, 1547, 16317, 2162, 25529, 344, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 6582, 519, 2338, 476, 272, 547, 476, 1704, 538, 513, 4737, 865, 602, 1142, 11105, 6292, 8591, 909, 547, 513, 4009, 1297, 2496, 2162, 7089, 16390, 910, 15528, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 18609, 803, 540, 1142, 540, 519, 1739, 281, 1403, 513, 4009, 1297, 568, 16611, 676, 513, 4009, 1297, 519, 1587, 568, 9338, 310, 17751, 306, 513, 4009, 1297, 13718, 2162, 5871, 6555, 529, 528, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 8340, 519, 4102, 8870, 799, 17337, 1169, 4759, 540, 519, 1739, 5311, 281, 476, 272, 317, 276, 268, 272, 267, 476, 273, 317, 276, 268, 273, 267, 476, 274, 317, 276, 268, 274, 267, 3267, 562, 317, 276, 5991, 780, 2162, 22493, 24747, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 5458, 8868, 568, 12902, 2250, 707, 6885, 269, 1548, 798, 596, 1294, 2496, 2162, 23951, 12127, 6199, 9578, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 292, 17526, 5941, 2436, 610, 711, 621, 729, 2009, 547, 588, 2651, 1472, 918, 14535, 12127, 6199, 15385, 1142, 540, 922, 5722, 13123, 4010, 2899, 269, 15331, 609, 1114, 2338, 540, 10195, 543, 13123, 780, 2162, 11408, 519, 23893, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 6635, 9792, 519, 2338, 476, 272, 547, 476, 1626, 883, 513, 476, 275, 676, 476, 275, 5044, 269, 7994, 513, 1297, 269, 9061, 856, 519, 2338, 593, 519, 1482, 4737, 543, 6241, 269, 19244, 713, 1184, 269, 5410, 909, 596, 2185, 2338, 269, 4208, 798, 789, 2141, 1039, 909, 547, 476, 4097, 2496, 2162, 2859, 3057, 7632, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 296, 1376, 609, 513, 2699, 267, 513, 4544, 267, 513, 3039, 543, 513, 5835, 18899, 269, 594, 666, 4123, 1022, 540, 1250, 27371, 585, 1614, 1866, 267, 835, 540, 1142, 7990, 269, 2052, 594, 1439, 909, 609, 4010, 1079, 27371, 540, 1142, 7990, 2496, 2162, 476, 280, 1284, 2074, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 723, 1044, 2016, 8370, 12035, 267, 835, 540, 799, 568, 5594, 18219, 982, 519, 1964, 269, 2052, 596, 960, 856, 799, 2597, 568, 18219, 538, 1175, 1079, 9260, 902, 540, 519, 3666, 2496, 2162, 21094, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2252, 596, 666, 5299, 513, 3060, 1510, 17666, 707, 4050, 1055, 519, 1957, 543, 1510, 5373, 1022, 1899, 7466, 267, 1287, 621, 568, 21986, 762, 269, 32341, 799, 540, 891, 12222, 616, 21986, 762, 780, 2162, 715, 1822, 7676, 1399, 32438, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 1692, 1082, 562, 965, 1206, 616, 693, 519, 1439, 540, 891, 9649, 2338, 2496, 2162, 589, 8262, 4445, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 8340, 519, 10545, 2318, 8870, 715, 971, 602, 715, 270, 273, 568, 513, 3501, 13306, 267, 715, 270, 274, 568, 513, 3501, 11359, 1379, 543, 715, 270, 276, 568, 513, 3501, 18749, 1379, 780, 2162, 6428, 514, 517, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 1607, 3337, 13408, 2185, 10859, 2275, 597, 3380, 269, 1548, 568, 519, 2078, 1063, 519, 1858, 540, 519, 26484, 3148, 543, 519, 1858, 540, 519, 5858, 593, 9474, 607, 8006, 2496, 2162, 11408, 17828, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 17004, 602, 952, 596, 1039, 476, 272, 547, 519, 1587, 540, 2185, 15654, 2338, 519, 2626, 568, 9338, 310, 17751, 306, 513, 3501, 4009, 780, 2162, 10222, 12258, 712, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 306, 1460, 2798, 616, 11231, 538, 2230, 865, 602, 1100, 1614, 616, 897, 15035, 269, 1215, 1082, 1899, 12415, 666, 581, 4646, 676, 11836, 519, 2798, 538, 8424, 2496, 2162, 8422, 29838, 338, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 16248, 20883, 5577, 6244, 5196, 519, 3349, 269, 589, 2699, 13855, 593, 519, 2451, 513, 3039, 538, 519, 1647, 543, 513, 4544, 13855, 593, 519, 1318, 269, 3973, 20883, 3323, 17259, 14477, 936, 1022, 11105, 13855, 269, 1772, 621, 2009, 585, 873, 547, 269, 1547, 1547, 16317, 2162, 634, 30346, 541, 540, 932, 3930, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 306, 2438, 597, 3380, 616, 6537, 593, 519, 5011, 540, 513, 13551, 13235, 291, 269, 589, 5858, 8429, 998, 2798, 13235, 291, 1286, 1407, 856, 2185, 524, 29266, 11057, 4525, 269, 28171, 602, 519, 2040, 540, 519, 2127, 540, 519, 2185, 524, 637, 30105, 568, 3160, 547, 269, 1547, 1547, 16317, 2162, 4208, 476, 2190, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 12648, 1022, 6305, 1297, 3152, 982, 476, 274, 2073, 4009, 621, 543, 10208, 835, 269, 11554, 593, 519, 2679, 7161, 786, 948, 596, 547, 2491, 1018, 568, 2027, 827, 707, 2164, 780, 2162, 7849, 5681, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 763, 4605, 14550, 519, 2040, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 815, 630, 275, 1535, 476, 276, 8358, 273, 269, 28171, 519, 2489, 4542, 585, 519, 2040, 540, 519, 1101, 562, 2067, 2338, 543, 519, 4542, 585, 519, 2040, 540, 519, 18695, 540, 519, 1101, 562, 2067, 269, 1547, 1547, 16317, 2162, 13983, 564, 902, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5804, 513, 1895, 540, 1022, 476, 275, 1053, 538, 513, 1362, 540, 476, 1789, 267, 1142, 814, 22121, 8285, 6486, 609, 519, 824, 1614, 269, 8058, 602, 930, 1053, 723, 22121, 6486, 609, 782, 519, 824, 1053, 538, 519, 1362, 269, 1215, 269, 1547, 1547, 16317, 2162, 19940, 7089, 18868, 966, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 763, 3803, 540, 2947, 4930, 799, 2270, 324, 519, 6169, 540, 1946, 519, 5311, 5189, 538, 2376, 10001, 2901, 10301, 519, 6378, 1448, 476, 271, 610, 519, 5311, 13788, 513, 18110, 4783, 540, 2185, 2418, 780, 2162, 700, 2389, 686, 558, 3626, 525, 692, 7462, 8609, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2486, 630, 15290, 543, 875, 1058, 649, 25117, 286, 1040, 7053, 267, 543, 811, 538, 2489, 267, 649, 1616, 547, 2285, 3755, 811, 1852, 936, 519, 4066, 789, 946, 282, 585, 1383, 267, 649, 1353, 2706, 8588, 1004, 543, 741, 7180, 543, 10182, 609, 2463, 547, 24819, 4066, 899, 16389, 543, 5957, 1963, 563, 701, 864, 267, 5126, 543, 2178, 5238, 454, 16256, 294, 476, 1626, 6663, 547, 968, 335, 668, 1774, 12560, 543, 8537, 7239, 585, 4264, 1646, 267, 1683, 1569, 547, 5126, 585, 782, 543, 1628, 2500, 267, 18177, 543, 8537, 1128, 15856, 8894, 339, 687, 693, 782, 2157, 6100, 1306, 971, 267, 3173, 540, 519, 8416, 4659, 960, 2509, 1818, 630, 21745, 1388, 264, 10350, 811, 12001, 543, 4023, 267, 585, 1383, 676, 7863, 4961, 689, 936, 1606, 584, 557, 11462, 269, 1284, 849, 2832, 693, 3246, 6127, 585, 2362, 12477, 267, 8066, 519, 3549, 543, 14540, 15725, 938, 2486, 18177, 585, 741, 630, 23855, 673, 543, 1875, 14482, 1013, 673, 264, 3527, 563, 7661, 267, 519, 8416, 4659, 2036, 1846, 1379, 19261, 267, 543, 7512, 11180, 3375, 6194, 676, 267, 585, 1383, 267, 4974, 875, 2029, 666, 7520, 4961, 20371, 12047, 7095, 7589, 267, 607, 1134, 607, 1489, 28102, 543, 1249, 2861, 1344, 8928, 563, 5978, 5075, 568, 3710, 593, 519, 8343, 602, 938, 5692, 666, 581, 6913, 6707, 1152, 952, 3173, 4947, 689, 1114, 10459, 2322, 741, 12058, 267, 1702, 267, 543, 1983, 538, 3028, 547, 519, 7913, 5980, 269, 901, 568, 1141, 519, 8416, 20576, 4249, 922, 2101, 1909, 269, 634, 3741, 602, 3391, 938, 5692, 616, 3254, 538, 519, 4137, 2630, 563, 11854, 32496, 267, 649, 1616, 547, 581, 912, 268, 634, 8141, 5337, 1746, 1007, 543, 4829, 995, 4296, 1851, 3173, 4947, 689, 1114, 10459, 3248, 268, 634, 2790, 15547, 9117, 607, 513, 2922, 543, 18398, 1604, 585, 1762, 15421, 3257, 1382, 593, 519, 7913, 5980, 3248, 268, 634, 8115, 7175, 1007, 21769, 1063, 3549, 267, 14540, 267, 543, 3173, 585, 513, 1463, 1764, 593, 519, 7913, 1924, 454, 763, 8416, 4659, 568, 2966, 547, 581, 519, 4998, 1747, 547, 2322, 538, 1747, 938, 5075, 269, 1452, 616, 519, 1034, 4143, 5413, 2798, 540, 938, 20576, 912, 268, 1284, 723, 513, 29341, 5133, 936, 513, 2647, 7535, 540, 3173, 945, 616, 4966, 1369, 519, 1585, 10459, 1644, 547, 519, 7913, 5980, 630, 7945, 607, 267, 3642, 267, 23559, 267, 1514, 9443, 267, 2792, 267, 1876, 267, 3092, 8094, 268, 1284, 723, 1569, 547, 1762, 15421, 630, 10440, 267, 25328, 267, 9457, 267, 543, 12854, 1053, 264, 543, 519, 1983, 547, 5721, 873, 2509, 4081, 17284, 563, 268, 1284, 723, 513, 8810, 543, 1279, 18835, 6791, 547, 4482, 3084, 543, 3486, 7616, 267, 8151, 689, 32065, 302, 24250, 309, 302, 3084, 7482, 547, 3864, 543, 824, 3486, 7482, 563, 268, 1284, 723, 513, 8810, 543, 1279, 18835, 6791, 538, 1418, 2358, 630, 659, 27854, 264, 2621, 563, 268, 1284, 723, 519, 2930, 6791, 630, 663, 3937, 264, 593, 519, 1034, 2487, 4066, 267, 971, 607, 15283, 267, 8121, 267, 13192, 267, 3642, 269, 1452, 666, 581, 1031, 2901, 585, 912, 268, 8888, 543, 10647, 6901, 593, 519, 7913, 5980, 630, 16129, 519, 15306, 6997, 338, 11850, 268, 3246, 5796, 593, 1732, 1620, 875, 971, 4066, 1764, 5010, 2472, 267, 4507, 267, 543, 938, 2486, 538, 2489, 563, 1432, 649, 2709, 454, 763, 8416, 4659, 28352, 922, 5692, 676, 3246, 513, 1297, 540, 7418, 543, 2533, 547, 1614, 1292, 2010, 540, 8639, 912, 268, 12824, 5461, 538, 8876, 856, 15834, 1382, 593, 519, 7913, 5980, 3248, 268, 8479, 15421, 5461, 538, 2921, 741, 1101, 3268, 883, 519, 1158, 540, 15834, 1382, 593, 519, 7913, 5980, 3248, 268, 14992, 543, 14540, 5275, 1489, 585, 7586, 4328, 741, 6848, 1764, 563, 763, 1445, 593, 519, 7913, 5980, 20383, 519, 960, 540, 519, 8416, 4659, 609, 519, 4045, 539, 2622, 1382, 6249, 267, 835, 540, 519, 2185, 1292, 9043, 4798, 540, 966, 308, 269, 901, 6249, 6212, 593, 5807, 7589, 543, 19086, 519, 17337, 1369, 2486, 267, 15388, 519, 3310, 540, 3059, 5314, 543, 2518, 5314, 593, 1004, 267, 4529, 267, 519, 4346, 543, 6214, 563, 763, 8416, 4659, 814, 2919, 543, 19597, 730, 513, 3126, 540, 7341, 543, 2533, 9859, 547, 3173, 543, 4081, 5234, 1369, 519, 966, 308, 7231, 609, 519, 7913, 5980, 267, 7488, 540, 519, 12200, 540, 10362, 269, 634, 1489, 6035, 676, 519, 8416, 4659, 547, 966, 308, 779, 3173, 568, 5318, 267, 543, 25856, 1472, 2185, 1292, 2127, 912, 268, 4934, 18943, 1299, 13319, 540, 1382, 454, 268, 16237, 28517, 540, 1382, 1983, 454, 268, 14502, 1489, 543, 3937, 454, 268, 8750, 532, 7399, 454, 2414, 1762, 15421, 454, 763, 7913, 5980, 6770, 547, 519, 2627, 1950, 3347, 267, 13253, 543, 4123, 32187, 269, 901, 6988, 3340, 2104, 4648, 543, 3173, 547, 1174, 2486, 267, 741, 1909, 538, 621, 267, 543, 4163, 856, 741, 6009, 609, 4656, 267, 1702, 267, 543, 1983, 269, 634, 8416, 4659, 814, 606, 3003, 2319, 6131, 547, 1053, 685, 1646, 281, 1317, 2221, 779, 1053, 616, 9723, 528, 4900, 20371, 23024, 1206, 267, 543, 621, 568, 938, 5539, 547, 16491, 873, 609, 519, 2645, 2556, 585, 873, 547, 8853, 543, 4163, 4464, 966, 308, 779, 4295, 2418, 540, 5539, 543, 22371, 269, 634, 8416, 4659, 5252, 919, 16805, 1053, 267, 5356, 873, 912, 268, 21541, 902, 593, 875, 547, 2932, 1164, 7779, 3621, 1382, 909, 547, 519, 1034, 11826, 4441, 3248, 268, 7457, 547, 20682, 609, 1164, 15134, 3937, 543, 2688, 2213, 6639, 3435, 547, 1449, 741, 1382, 543, 2093, 3248, 268, 24732, 6823, 1995, 538, 1382, 3785, 896, 519, 5583, 540, 4810, 3173, 610, 1369, 835, 540, 519, 3785, 538, 5698, 609, 519, 4659, 779, 5007, 4891, 3248, 268, 12160, 908, 543, 1418, 2358, 873, 539, 2621, 593, 15834, 1382, 3248, 268, 5900, 2056, 543, 12419, 2027, 2213, 20682, 543, 29468, 3248, 268, 5890, 21505, 543, 19597, 908, 741, 3318, 543, 4081, 3060, 267, 8220, 609, 519, 1283, 3173, 543, 14540, 2324, 593, 519, 7913, 5980, 563, 2414, 3549, 543, 14540, 454, 763, 5692, 540, 519, 8416, 4659, 4422, 3564, 519, 966, 686, 16660, 10713, 924, 527, 24545, 269, 1284, 561, 807, 2581, 609, 25772, 267, 27013, 267, 3549, 267, 1382, 32112, 267, 543, 824, 9945, 267, 547, 24244, 938, 6848, 1764, 269, 3776, 3173, 7119, 538, 3818, 3613, 820, 14516, 3785, 543, 1020, 1617, 10561, 7341, 267, 547, 6318, 4656, 267, 7668, 3755, 543, 3549, 267, 543, 1020, 1007, 2645, 585, 519, 7913, 5980, 563, 2691, 2324, 609, 5007, 8639, 267, 519, 8416, 4659, 666, 1491, 513, 3309, 1305, 540, 5107, 267, 3246, 513, 2647, 2039, 540, 7418, 543, 2533, 267, 971, 607, 912, 268, 11426, 2213, 1382, 543, 2645, 454, 268, 16890, 4721, 1299, 931, 677, 807, 454, 268, 15531, 519, 1318, 4274, 454, 12812, 1934, 547, 1569, 606, 6905, 6609, 540, 938, 5692, 267, 2418, 267, 5075, 267, 3177, 2533, 267, 10350, 267, 543, 1967, 2984, 269, 0, 288, 6689, 3965, 540, 28167, 13005, 30058, 267, 590, 10176, 1495, 22506, 630, 4489, 271, 994, 8005, 729, 590, 10176, 1495, 22506, 888, 306, 10176, 1495, 22506, 630, 6977, 277, 268, 4350, 280, 264, 729, 606, 22341, 18673, 269, 1261, 2919, 513, 2203, 540, 3178, 6530, 1572, 25164, 4519, 269, 4706, 2832, 729, 547, 10826, 1004, 540, 2790, 7092, 676, 3695, 741, 17499, 543, 5275, 547, 8207, 7526, 6456, 1369, 621, 269, 769, 3257, 865, 267, 22506, 16941, 267, 1851, 824, 1919, 267, 593, 519, 1797, 540, 3834, 16915, 269, 3571, 2409, 543, 5784, 616, 4061, 2808, 22573, 543, 723, 1044, 8719, 676, 519, 3621, 2409, 540, 6211, 6530, 563, 306, 10176, 1495, 22506, 781, 1272, 9740, 15538, 538, 519, 7214, 1489, 540, 519, 2021, 781, 3350, 267, 799, 646, 13084, 16845, 2429, 1010, 1272, 269, 26361, 782, 267, 646, 5280, 621, 547, 1863, 3294, 689, 519, 7522, 524, 832, 564, 540, 519, 14858, 527, 613, 626, 269, 3571, 960, 5795, 2021, 1569, 547, 513, 4514, 1620, 540, 519, 8789, 5256, 1158, 267, 1454, 540, 799, 1185, 554, 2416, 1729, 711, 9833, 873, 607, 11224, 269, 3571, 4775, 1053, 3769, 1010, 8250, 17555, 22506, 543, 21322, 12844, 777, 27525, 267, 513, 3448, 540, 19167, 269, 4033, 1053, 540, 22506, 941, 21238, 1520, 2401, 543, 14161, 28044, 563, 7212, 519, 5067, 540, 513, 8026, 6014, 4651, 267, 646, 2141, 9763, 4984, 1360, 9691, 543, 568, 1256, 1767, 547, 723, 4330, 5128, 607, 922, 6574, 10546, 269, 590, 10176, 1495, 22506, 5030, 538, 21499, 2394, 519, 13567, 540, 15212, 676, 13303, 5125, 267, 1287, 32164, 3603, 547, 5507, 267, 1141, 646, 5747, 593, 20029, 269, 476, 2537, 267, 476, 4350, 280, 563, 306, 10176, 1495, 22506, 27361, 606, 3310, 593, 1148, 602, 5170, 547, 713, 1554, 282, 519, 1148, 3350, 540, 5080, 9418, 1143, 568, 7361, 1759, 593, 1010, 4681, 269, 4706, 1034, 1271, 11347, 267, 25554, 1807, 667, 8932, 267, 20705, 547, 22506, 781, 2673, 5858, 540, 29872, 1734, 269, 3509, 540, 667, 8932, 781, 10367, 616, 6131, 547, 1010, 6436, 563, 26466, 644, 781, 4090, 748, 8144, 5470, 454, 8170, 1164, 2956, 585, 22506, 781, 4661, 566, 568, 519, 642, 11857, 267, 799, 646, 14621, 607, 513, 26704, 3090, 585, 3993, 2648, 269, 1261, 524, 2572, 513, 6689, 3965, 540, 28167, 267, 855, 646, 18922, 621, 4636, 569, 269, 634, 7969, 2262, 834, 333, 756, 321, 1470, 257, 1281, 711, 1611, 642, 11857, 267, 607, 22506, 19451, 569, 17648, 267, 855, 1797, 513, 30866, 267, 513, 6177, 540, 10352, 563, 13010, 267, 22506, 17767, 519, 642, 11857, 607, 513, 598, 1495, 5300, 538, 513, 7206, 676, 28167, 269, 898, 568, 606, 9740, 540, 22506, 693, 782, 602, 598, 1495, 337, 4548, 616, 7608, 538, 513, 3621, 2796, 267, 543, 2417, 3467, 1256, 6956, 607, 513, 6885, 883, 519, 9997, 540, 519, 5159, 269, 7402, 2227, 3022, 711, 2547, 676, 713, 267, 835, 540, 22506, 781, 23507, 3464, 267, 519, 30642, 626, 18048, 25554, 1807, 18243, 6403, 267, 1500, 18086, 946, 540, 621, 1369, 519, 5943, 540, 519, 1505, 540, 834, 322, 15560, 1612, 8457, 807, 257, 602, 646, 5128, 1185, 25282, 563, 1432, 568, 519, 8247, 540, 519, 1257, 888, 763, 3483, 540, 519, 1957, 568, 547, 6961, 519, 28252, 540, 2921, 519, 1272, 540, 519, 9997, 883, 2272, 950, 735, 4979, 22808, 269, 22506, 9727, 713, 609, 519, 1383, 540, 28167, 13005, 30058, 267, 1256, 1498, 972, 616, 1152, 513, 19625, 540, 2959, 593, 28167, 781, 6689, 267, 799, 568, 2523, 1271, 585, 22506, 781, 4661, 566, 269, 11048, 267, 22506, 20147, 602, 28167, 13005, 30058, 1590, 723, 1044, 513, 12809, 28305, 1317, 540, 1010, 6689, 2833, 269, 769, 519, 3932, 540, 1010, 1957, 267, 646, 1175, 5809, 5128, 912, 257, 2252, 971, 606, 13055, 267, 607, 5310, 538, 28167, 781, 2013, 267, 1281, 711, 6556, 1978, 2164, 267, 519, 13337, 6013, 711, 538, 519, 25768, 610, 16283, 12191, 540, 25164, 4519, 267, 855, 538, 519, 10462, 543, 538, 1260, 921, 28467, 540, 519, 1570, 799, 2245, 2488, 585, 713, 1268, 4799, 13295, 267, 22506, 781, 1603, 568, 711, 547, 581, 6956, 607, 513, 23963, 3280, 3948, 593, 28167, 13005, 30058, 781, 14920, 267, 855, 5713, 8806, 607, 606, 1383, 540, 22506, 781, 6069, 12191, 585, 513, 12092, 269, 634, 1249, 602, 1010, 1603, 568, 18562, 1419, 11855, 607, 2963, 540, 28167, 781, 32270, 568, 4440, 1813, 547, 519, 1249, 602, 621, 568, 2370, 1224, 855, 1454, 11855, 563, 288, 6689, 3965, 540, 28167, 13005, 30058, 454, 28415, 7160, 540, 476, 4489, 271, 454, 2691, 519, 2564, 1382, 540, 519, 9997, 267, 799, 568, 2356, 1543, 609, 4617, 1480, 1570, 267, 4485, 835, 540, 519, 1390, 3283, 540, 519, 1480, 5198, 267, 621, 1281, 711, 1246, 519, 24500, 799, 616, 865, 1419, 11911, 547, 621, 676, 519, 3288, 640, 269, 2701, 1281, 711, 11441, 547, 834, 18872, 523, 519, 32689, 543, 8749, 519, 1016, 331, 830, 883, 519, 7452, 21968, 621, 3947, 1200, 1100, 9547, 547, 27298, 519, 3845, 1063, 602, 19870, 543, 519, 14413, 638, 2329, 540, 1200, 8723, 3615, 269, 13298, 267, 1352, 3112, 855, 1265, 3388, 4502, 1620, 602, 666, 581, 2938, 538, 1346, 3631, 267, 543, 1352, 14659, 602, 1100, 835, 568, 865, 1390, 602, 621, 1131, 581, 513, 771, 6588, 576, 585, 1864, 547, 581, 1641, 547, 519, 4031, 602, 1827, 3339, 543, 21693, 573, 3527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5583, 585, 519, 13896, 269, 5871, 1876, 4016, 547, 513, 1062, 1759, 593, 16324, 3664, 543, 22232, 2853, 2864, 982, 13798, 1881, 29071, 269, 1306, 811, 11182, 3357, 896, 3703, 1852, 267, 865, 1932, 1705, 519, 3310, 540, 713, 3656, 2245, 4228, 269, 1717, 267, 1813, 547, 519, 10923, 3845, 1063, 4789, 543, 922, 10125, 267, 2199, 9777, 2137, 3459, 15357, 532, 741, 1378, 29071, 547, 2232, 1808, 2115, 543, 4145, 269, 1452, 6932, 3656, 9479, 1419, 10630, 2189, 2686, 2418, 267, 1514, 3889, 267, 543, 2804, 2175, 1459, 1369, 1367, 10125, 780, 3080, 1858, 1141, 6237, 3604, 2968, 3226, 7805, 729, 538, 519, 7939, 540, 13989, 2238, 269, 2755, 930, 8830, 11939, 2950, 14553, 19275, 1022, 1106, 540, 25919, 267, 824, 17260, 17947, 3756, 540, 4960, 607, 513, 1797, 540, 5009, 1514, 22122, 543, 10451, 8907, 269, 3683, 942, 267, 891, 8795, 8456, 2509, 13989, 1131, 2285, 4473, 547, 3982, 9431, 4485, 2066, 1114, 22875, 780, 24137, 4464, 547, 519, 3059, 2085, 267, 543, 1082, 540, 891, 3140, 13253, 4478, 13989, 3136, 547, 3337, 4207, 9840, 827, 2228, 8732, 16394, 269, 1280, 3236, 267, 2055, 7282, 519, 3617, 3666, 1063, 2229, 23388, 543, 2123, 5191, 1107, 799, 19347, 5717, 1851, 7810, 1876, 16234, 1107, 2611, 3844, 547, 5571, 3609, 5717, 1472, 4950, 2861, 530, 698, 1359, 269, 6684, 267, 13882, 827, 2436, 5691, 5867, 1058, 15666, 547, 4540, 22356, 6042, 610, 15549, 3209, 10850, 16079, 32618, 22195, 827, 519, 2078, 1063, 2757, 1455, 1876, 3741, 543, 9687, 4066, 780, 2691, 6313, 519, 1909, 540, 1977, 7810, 1876, 538, 5935, 2413, 2228, 25877, 4507, 267, 1896, 1883, 4798, 10836, 1384, 272, 269, 808, 9766, 323, 12302, 6988, 281, 3807, 607, 7810, 9777, 2137, 18705, 3309, 13989, 6042, 3358, 547, 2199, 6381, 267, 2221, 781, 14519, 3068, 2591, 538, 9591, 2312, 4808, 585, 3444, 31215, 2228, 8732, 16394, 269, 19484, 12721, 6811, 540, 19988, 6392, 3340, 6297, 7156, 540, 3486, 21308, 267, 24845, 11650, 267, 543, 6469, 9086, 563, 273, 269, 12876, 1145, 543, 11413, 281, 7216, 3646, 547, 2327, 19969, 543, 8699, 538, 13989, 4238, 723, 9788, 519, 24536, 585, 4207, 7125, 547, 2149, 6800, 689, 15490, 610, 632, 21082, 2853, 538, 2228, 5054, 269, 1635, 8260, 908, 2834, 32116, 543, 7598, 7347, 23930, 4170, 267, 22124, 2832, 547, 6536, 3972, 543, 6015, 1851, 3755, 1247, 15658, 2590, 796, 2675, 14442, 592, 748, 12427, 563, 274, 269, 25895, 5647, 281, 21826, 7760, 538, 3059, 2029, 10460, 1007, 2591, 585, 22124, 5275, 547, 10880, 606, 6099, 3666, 1063, 5807, 5647, 543, 19086, 1761, 4220, 2404, 609, 2228, 8732, 16394, 269, 21344, 891, 6859, 7569, 6024, 6278, 609, 2872, 8639, 267, 4966, 267, 543, 4299, 2950, 563, 275, 269, 5398, 1072, 543, 3106, 281, 31700, 827, 1966, 13989, 543, 8213, 723, 1044, 10770, 4798, 2429, 1977, 7810, 1686, 269, 4653, 267, 891, 1482, 19048, 1217, 5571, 5717, 827, 3743, 11080, 7341, 267, 1582, 7721, 2424, 3292, 267, 543, 824, 2800, 5786, 2994, 2966, 547, 7413, 2942, 4539, 31827, 689, 7050, 7589, 538, 2228, 13989, 2238, 780, 2026, 7152, 1657, 267, 16439, 519, 3140, 5072, 540, 1977, 7810, 1876, 2488, 3407, 4030, 883, 519, 1950, 3656, 5251, 12044, 2228, 8732, 16394, 269, 4197, 891, 4296, 2636, 721, 547, 1732, 5660, 519, 11972, 10083, 540, 2250, 9551, 757, 543, 9840, 538, 5935, 4207, 3609, 11407, 269, 5047, 267, 2502, 9691, 609, 713, 3638, 13795, 540, 3656, 5389, 6087, 2104, 17864, 267, 14519, 267, 543, 5640, 547, 3565, 25006, 547, 10296, 2152, 693, 519, 10167, 540, 1876, 267, 2029, 267, 543, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15697, 8732, 16394, 616, 606, 5051, 2442, 4244, 547, 15839, 7146, 2173, 677, 541, 13989, 24284, 269, 1358, 2709, 513, 3102, 5542, 540, 25877, 3756, 998, 513, 2241, 1357, 8818, 610, 676, 23842, 3301, 269, 769, 2489, 267, 2475, 2228, 8732, 16394, 2709, 538, 519, 8378, 540, 476, 4335, 547, 476, 272, 267, 1822, 25877, 3756, 269, 1358, 666, 581, 15600, 3842, 2780, 267, 16979, 610, 5985, 6049, 267, 543, 789, 616, 15095, 609, 1312, 5839, 543, 8837, 5665, 1949, 563, 1103, 1931, 547, 2149, 5716, 267, 2228, 8732, 16394, 1590, 16783, 609, 7453, 3652, 543, 6042, 3823, 519, 14619, 540, 741, 3756, 269, 769, 1840, 547, 8506, 602, 8852, 581, 1500, 609, 1483, 2724, 267, 1034, 2228, 8732, 16394, 946, 4830, 2912, 6002, 547, 2327, 602, 741, 3756, 616, 4977, 543, 4023, 269, 901, 1377, 540, 22987, 666, 948, 547, 1118, 25877, 2228, 13989, 10930, 982, 13989, 538, 513, 1483, 8996, 25877, 563, 5194, 1259, 547, 948, 2149, 5716, 568, 547, 2154, 602, 782, 25877, 2228, 3756, 581, 14931, 676, 519, 1533, 1141, 789, 616, 13234, 269, 901, 2337, 547, 2327, 602, 519, 3756, 616, 605, 701, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13563, 20616, 4521, 257, 607, 851, 540, 834, 30311, 1315, 13751, 3778, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 4197, 25957, 1143, 910, 589, 7392, 540, 1323, 1105, 1143, 692, 5970, 596, 2479, 4862, 540, 606, 8944, 1354, 286, 898, 1522, 3280, 899, 14784, 543, 4524, 267, 855, 621, 781, 2965, 513, 1826, 540, 2797, 16809, 602, 11099, 538, 2870, 513, 2486, 1510, 513, 21438, 2229, 256, 10738, 29450, 1143, 267, 972, 616, 1114, 2010, 540, 4978, 543, 4485, 267, 1175, 899, 875, 972, 616, 1082, 5686, 540, 4672, 8645, 10366, 269, 2290, 540, 891, 8949, 10366, 568, 1572, 3760, 1143, 269, 2913, 781, 4685, 883, 1620, 1018, 3760, 1143, 568, 782, 827, 2439, 5575, 267, 1577, 781, 2911, 827, 1141, 3760, 1143, 2501, 689, 269, 2368, 29450, 1235, 8068, 602, 4352, 741, 3350, 4941, 547, 1711, 513, 1732, 1158, 267, 789, 1419, 17388, 609, 12180, 2933, 3927, 269, 1358, 7691, 602, 2348, 2312, 3741, 543, 4808, 1131, 948, 873, 960, 1927, 811, 7561, 2509, 8236, 741, 3853, 269, 1924, 267, 789, 3357, 909, 609, 1945, 1572, 519, 31044, 25957, 540, 519, 4937, 5742, 540, 1323, 1105, 1235, 630, 528, 3274, 834, 1492, 3760, 8442, 538, 476, 4572, 277, 269, 901, 3561, 13890, 3838, 2418, 267, 3889, 267, 543, 2994, 585, 29450, 626, 2516, 269, 4595, 1287, 267, 1346, 945, 1489, 891, 2093, 2968, 1634, 607, 3760, 1235, 780, 3086, 267, 1018, 798, 3760, 1235, 3494, 538, 4010, 286, 1703, 616, 2185, 1292, 2798, 547, 1832, 538, 2247, 950, 7234, 3760, 1143, 1384, 272, 269, 570, 716, 673, 30767, 281, 15526, 3238, 23216, 2390, 1455, 2409, 543, 12485, 547, 3035, 741, 6859, 269, 5994, 1373, 851, 540, 513, 1895, 1141, 3025, 814, 741, 1378, 2856, 827, 875, 1919, 1058, 1205, 2944, 282, 621, 666, 1291, 547, 10539, 543, 3500, 3356, 269, 1635, 3858, 532, 593, 1808, 2081, 547, 3914, 741, 3853, 267, 3760, 1235, 2327, 602, 789, 2611, 5059, 543, 11327, 780, 273, 269, 11814, 633, 26930, 281, 3962, 4759, 3217, 5539, 585, 519, 3003, 3919, 781, 3527, 267, 711, 1152, 741, 1367, 7418, 269, 6056, 540, 621, 899, 4730, 5026, 1765, 604, 2576, 12772, 519, 3440, 1282, 513, 3014, 267, 519, 2898, 2319, 7959, 25922, 1317, 789, 4769, 1405, 3094, 1927, 269, 6684, 267, 3760, 1235, 1174, 602, 1967, 5673, 593, 1169, 1268, 2324, 15217, 543, 5885, 1142, 824, 780, 274, 269, 8549, 1143, 281, 5463, 2888, 616, 1500, 998, 15139, 1436, 267, 3850, 2199, 2516, 13190, 1247, 4509, 9322, 693, 2362, 2157, 269, 16514, 513, 2197, 5258, 883, 4130, 2829, 610, 16899, 282, 1142, 3148, 1754, 985, 3294, 1759, 593, 2199, 2115, 267, 2943, 5205, 3084, 4031, 269, 2334, 781, 5313, 1143, 256, 25957, 1235, 946, 713, 1523, 865, 602, 3677, 3906, 666, 1599, 12347, 1247, 18245, 3309, 8369, 1369, 1585, 2950, 780, 275, 269, 16930, 17644, 281, 5502, 540, 22394, 569, 16462, 1514, 1689, 267, 3760, 1235, 5693, 5581, 1018, 789, 2832, 547, 9585, 269, 1280, 1383, 267, 5355, 2175, 585, 6705, 3340, 6616, 10502, 1018, 2242, 786, 4324, 873, 1034, 269, 2060, 1134, 20452, 9072, 267, 3760, 1235, 666, 2268, 3356, 543, 2226, 8404, 2509, 8757, 741, 10700, 5075, 780, 4131, 781, 1921, 3760, 1143, 1394, 547, 938, 4505, 4901, 827, 8105, 538, 3127, 269, 14597, 972, 729, 513, 1895, 540, 3760, 626, 6705, 945, 8815, 593, 1210, 5214, 18168, 3079, 540, 6464, 267, 4687, 2200, 1851, 12543, 267, 543, 14957, 585, 4023, 5777, 538, 6990, 269, 1452, 6705, 1131, 1246, 28365, 9322, 676, 23578, 547, 891, 3664, 543, 4543, 835, 1776, 2936, 873, 269, 1403, 1022, 3390, 14340, 1369, 519, 2146, 267, 971, 607, 10980, 610, 10860, 31362, 7031, 267, 1169, 16027, 8843, 5539, 585, 4466, 3435, 2094, 789, 2811, 782, 10562, 269, 4635, 5313, 1143, 267, 6237, 3401, 1223, 11282, 3646, 2066, 14252, 1247, 16779, 17137, 547, 2232, 2189, 2591, 269, 14936, 267, 4259, 1808, 3853, 5849, 602, 9283, 2049, 9846, 936, 942, 780, 1103, 3932, 267, 3760, 1143, 3091, 513, 11295, 1259, 585, 29450, 1235, 547, 12840, 3927, 543, 3142, 2318, 1689, 547, 2486, 269, 1635, 5807, 9322, 267, 12477, 267, 1582, 3766, 4261, 766, 267, 543, 9355, 267, 3760, 1235, 6542, 602, 2679, 513, 2493, 6804, 2588, 18701, 3884, 1405, 8806, 6999, 995, 3206, 855, 513, 4052, 7872, 4502, 20678, 585, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19328, 568, 519, 4102, 16073, 540, 5144, 267, 795, 1393, 543, 13942, 538, 519, 1158, 267, 2034, 4102, 538, 10931, 2117, 2033, 267, 10412, 267, 2666, 18133, 267, 5613, 267, 5388, 543, 21996, 2504, 543, 3791, 538, 23611, 2504, 16804, 328, 316, 6736, 713, 267, 519, 6694, 2208, 2557, 568, 10982, 958, 1970, 543, 4095, 6705, 616, 585, 519, 1034, 851, 267, 6710, 588, 4459, 523, 269, 1284, 991, 31544, 4267, 547, 519, 530, 3996, 540, 519, 6705, 267, 952, 649, 723, 547, 6318, 519, 3044, 540, 2713, 540, 519, 5354, 540, 856, 1004, 269, 1306, 829, 606, 772, 12991, 1867, 267, 476, 2641, 260, 540, 1004, 538, 3127, 2661, 2630, 519, 6710, 1899, 269, 3683, 476, 1789, 260, 1256, 723, 1447, 982, 1269, 272, 269, 1839, 829, 1554, 2139, 1107, 789, 616, 2808, 5393, 4057, 269, 901, 2306, 519, 4095, 1016, 29657, 835, 540, 519, 30529, 2477, 538, 519, 1158, 282, 2021, 543, 1453, 267, 519, 4617, 652, 2818, 540, 4095, 2486, 267, 7985, 1034, 1256, 538, 519, 476, 2641, 560, 2540, 563, 2252, 519, 3510, 568, 547, 581, 4824, 267, 1287, 15024, 538, 519, 6683, 5823, 267, 799, 18271, 476, 6078, 269, 5392, 2600, 540, 3127, 779, 13781, 314, 4512, 316, 568, 606, 16122, 269, 2859, 11932, 267, 827, 476, 3583, 2600, 540, 922, 6917, 10820, 1869, 4096, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5522, 520, 845, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 8211, 3098, 1315, 1323, 1105, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 15642, 1049, 9751, 23941, 281, 589, 11202, 3118, 547, 25085, 532, 7201, 1440, 643, 850, 3022, 18877, 692, 1103, 2221, 781, 6385, 9687, 2518, 4346, 267, 519, 3747, 585, 9952, 4074, 814, 2760, 1044, 3152, 269, 1306, 971, 267, 25367, 2866, 32112, 1404, 513, 2565, 1909, 538, 30015, 2043, 609, 519, 2556, 2930, 543, 3318, 21941, 602, 5512, 873, 547, 5150, 2744, 995, 7694, 543, 3565, 25006, 547, 6848, 1646, 269, 901, 3184, 12538, 883, 519, 4644, 540, 25367, 2866, 32112, 1369, 519, 2796, 540, 2362 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 276, 269, 3816, 664, 10281, 3603, 912, 7804, 9722, 7899, 540, 15559, 20674, 9004, 13802, 689, 707, 1560, 543, 849, 7028, 6099, 30754, 1062, 1599, 269, 20638, 547, 8532, 4568, 693, 519, 1360, 2547, 476, 279, 14296, 540, 1216, 3232, 547, 2611, 14013, 5848, 28962, 563, 2691, 547, 28423, 2060, 513, 2657, 5516, 16869, 454, 4407, 519, 31452, 5018, 936, 666, 2285, 8323, 585, 1769, 8320, 540, 28332, 9726, 9136, 267, 621, 568, 2565, 547, 1413, 585, 2564, 3007, 952, 912, 268, 634, 11926, 26251, 585, 811, 982, 476, 273, 4374, 563, 268, 634, 9726, 9136, 616, 24215, 30748, 1944, 610, 24847, 9870, 538, 10155, 563, 268, 1411, 1995, 3773, 7282, 2589, 971, 607, 8966, 2597, 2000, 1601, 267, 3781, 4418, 1846, 267, 610, 5812, 13110, 1145, 563, 268, 1411, 723, 513, 2182, 267, 7123, 267, 610, 12150, 569, 2966, 9726, 6843, 563, 8855, 267, 1175, 513, 1072, 1416, 11285, 666, 4983, 707, 2783, 10502, 543, 849, 2709, 5078, 5796, 610, 2126, 563, 18933, 18543, 9726, 9136, 666, 581, 513, 15779, 4191, 543, 10835, 267, 2943, 609, 2953, 1416, 543, 849, 1719, 267, 789, 666, 4122, 581, 17411, 5265, 269, 1635, 9301, 519, 5817, 4128, 543, 7311, 4052, 2994, 899, 3636, 14771, 525, 267, 1928, 330, 14525, 267, 1390, 9882, 2553, 267, 1964, 267, 607, 1134, 607, 20697, 267, 596, 666, 948, 2569, 1928, 543, 3895, 6051, 563, 32701, 267, 952, 596, 1995, 29287, 610, 3665, 4191, 543, 2589, 267, 621, 568, 2556, 547, 3717, 609, 513, 1072, 1416, 11285, 585, 513, 1697, 2564, 5868, 543, 849, 16419, 3797, 1544, 269, 20958, 609, 707, 9726, 9136, 267, 543, 4308, 609, 707, 2698, 1072, 543, 9716, 269, 0, 22826, 7913, 4354, 6275, 538, 519, 8241, 15858, 454, 27609, 532, 8241, 1053, 585, 741, 2883, 2104, 454, 1103, 2221, 779, 3059, 12454, 1158, 267, 621, 568, 1898, 585, 8241, 1053, 547, 1174, 519, 1523, 540, 3059, 9304, 543, 922, 6286, 269, 7913, 9304, 4016, 547, 2724, 602, 6818, 17033, 538, 5907, 1106, 267, 609, 1100, 2168, 6697, 899, 11113, 610, 4871, 17084, 269, 1306, 713, 1106, 540, 9304, 5170, 547, 3337, 938, 2883, 5251, 267, 621, 3587, 5051, 1271, 547, 4001, 1762, 26880, 827, 922, 14960, 269, 3371, 779, 513, 6251, 1413, 693, 1018, 3059, 9304, 568, 267, 519, 1114, 8677, 621, 2501, 538, 267, 543, 875, 649, 666, 11753, 922, 10752, 883, 519, 8241, 4928, 563, 8139, 3059, 9304, 454, 19445, 9304, 13315, 1585, 2010, 267, 1519, 5691, 9304, 267, 15170, 267, 543, 3844, 4871, 3059, 19728, 630, 7374, 6195, 338, 1916, 268, 14044, 4354, 6275, 281, 14044, 9304, 568, 513, 1826, 540, 3059, 9304, 602, 666, 581, 6417, 676, 513, 2582, 11769, 610, 513, 3060, 540, 3755, 269, 1849, 2216, 5691, 19728, 616, 3908, 547, 1808, 2950, 543, 3112, 581, 22121, 585, 824, 19728, 267, 971, 607, 2890, 10520, 9146, 19728, 538, 3381, 3756, 610, 14017, 2798, 269, 2201, 519, 824, 1688, 267, 1930, 5691, 19728, 666, 581, 1031, 811, 4922, 543, 10736, 547, 824, 19728, 267, 899, 19116, 543, 7123, 23915, 563, 268, 31427, 281, 31427, 568, 513, 1826, 540, 3059, 18351, 602, 568, 2813, 543, 6740, 593, 519, 9893, 267, 17956, 1210, 25563, 269, 9521, 2757, 535, 9332, 2724, 267, 19116, 616, 711, 14931, 676, 513, 3844, 4871, 269, 15019, 19116, 899, 11670, 543, 21578, 723, 4810, 1713, 15088, 538, 1871, 936, 2110, 5712, 540, 942, 1813, 547, 741, 19979, 2470, 563, 268, 6239, 7813, 7913, 4354, 6275, 630, 7374, 6195, 2567, 7131, 6195, 338, 616, 9783, 543, 14931, 676, 513, 2197, 779, 3844, 4871, 269, 1358, 1599, 13974, 547, 19116, 855, 741, 1871, 568, 6378, 676, 519, 3844, 4871, 267, 6697, 547, 519, 2197, 779, 535, 9332, 9304, 269, 634, 1292, 3017, 568, 602, 7131, 6195, 338, 798, 711, 991, 547, 581, 4448, 547, 513, 2757, 4871, 2272, 585, 946, 267, 799, 2636, 585, 5488, 8852, 1063, 2043, 563, 3412, 11302, 532, 1053, 538, 519, 1158, 540, 3059, 9304, 454, 18204, 7992, 3059, 9304, 4245, 538, 8241, 13460, 22851, 1053, 998, 23913, 1565, 543, 28382, 873, 609, 1898, 1702, 585, 10188, 519, 2883, 5251, 540, 519, 3059, 2085, 269, 1635, 9256, 3946, 6823, 2833, 267, 2312, 3137, 267, 1483, 3734, 1806, 267, 543, 1382, 3785, 267, 7855, 2327, 1053, 616, 5423, 585, 1967, 538, 519, 9687, 2883, 5251, 563, 28733, 543, 13801, 1893, 568, 2629, 950, 3450, 3059, 9304, 2035, 547, 948, 1053, 9787, 922, 10848, 269, 18964, 5717, 543, 9840, 11942, 2565, 3206, 543, 10763, 1983, 267, 7175, 1053, 547, 6218, 5383, 543, 11393, 563, 11947, 2775, 532, 1483, 8996, 3156, 540, 3059, 9304, 538, 5245, 543, 11451, 31168, 7279, 543, 3376, 839, 1053, 685, 5380, 593, 922, 1761, 269, 18964, 1053, 547, 5490, 4514, 883, 3059, 9304, 779, 1686, 267, 3466, 267, 543, 2104, 7399, 10597, 741, 1620, 269, 25849, 532, 1382, 3785, 602, 6536, 5876, 543, 1966, 9010, 1983, 16877, 1053, 547, 15974, 5499, 3435, 543, 3156, 563, 17809, 4575, 3946, 6823, 2833, 609, 20533, 610, 5691, 5054, 2620, 839, 1053, 685, 1620, 540, 875, 3059, 9304, 3252, 543, 922, 1483, 8996, 3156, 269, 5438, 21377, 1565, 267, 899, 14465, 336, 518, 267, 2337, 1053, 1020, 513, 4052, 1620, 540, 519, 2640, 543, 4220, 267, 7175, 5483, 3375, 6194, 538, 519, 2104, 563, 29248, 1077, 532, 1053, 585, 2883, 1967, 538, 519, 3059, 2085, 454, 28885, 3059, 9304, 2069, 883, 8241, 13460, 568, 1898, 547, 5965, 1762, 26880, 585, 519, 9687, 2883, 5251, 269, 1635, 3246, 2312, 543, 13801, 4245, 267, 8716, 5717, 543, 9840, 267, 10223, 1483, 8996, 3156, 267, 26471, 1382, 3785, 267, 543, 5356, 3946, 6823, 2833, 609, 20533, 5054, 267, 7855, 666, 7668, 1053, 547, 6330, 519, 10848, 540, 3059, 9304, 18390, 269, 1677, 2417, 1489, 7855, 538, 713, 20089, 267, 14465, 336, 518, 2813, 713, 1863, 4199, 602, 2488, 513, 3407, 4358, 1448, 585, 10962, 3059, 9304, 2035, 538, 519, 4928, 563, 2414, 1451, 811, 827, 14465, 336, 518, 543, 875, 621, 666, 948, 4497, 707, 1053, 538, 2883, 2069, 267, 4945, 1934, 269, 0, 7212, 3007, 12413, 7228, 270, 30104, 13808, 4524, 630, 4696, 8461, 264, 5868, 568, 811, 4122, 2404, 609, 7820, 2043, 267, 513, 1353, 689, 519, 6820, 2657, 25731, 5735, 3194, 6828, 2982, 602, 519, 2783, 568, 849, 11342, 1851, 4079, 269, 17497, 267, 936, 5216, 2929, 1977, 4079, 616, 4299, 676, 519, 4524, 269, 18766, 689, 875, 713, 2551, 568, 20916, 547, 1964, 16531, 543, 791, 6160, 2032, 267, 4966, 723, 849, 4362, 513, 3095, 1063, 11838, 2550, 543, 16906, 7296, 563, 7021, 476, 2412, 260, 540, 1346, 609, 11838, 616, 538, 519, 4356, 540, 7296, 267, 547, 519, 1448, 602, 519, 2783, 568, 2808, 513, 1981, 3815, 585, 8213, 269, 25003, 29696, 3928, 616, 2907, 711, 528, 13124, 1970, 1851, 519, 2489, 1857, 267, 543, 1382, 5267, 602, 621, 949, 1256, 581, 811, 2352, 1851, 11838, 2550, 269, 1280, 513, 6251, 1413, 693, 519, 4276, 1063, 519, 1079, 267, 3136, 2542, 2630, 563, 3963, 568, 7296, 29696, 9875, 585, 1346, 609, 11838, 888, 4696, 8461, 2501, 609, 2182, 3562, 20820, 2589, 971, 607, 606, 17418, 547, 1445, 543, 29338, 269, 5525, 723, 1336, 602, 15522, 666, 11574, 930, 540, 891, 2589, 267, 3592, 9117, 13974, 547, 11838, 6646, 269, 12832, 13534, 13847, 22006, 543, 22262, 2694, 540, 519, 2634, 267, 6721, 513, 22196, 267, 9354, 1198, 269, 1306, 513, 1267, 267, 621, 7512, 25273, 543, 1447, 839, 2566, 267, 799, 949, 2491, 1946, 1346, 609, 11838, 28040, 10028, 4724, 519, 4356, 269, 2060, 621, 15725, 741, 2783, 267, 4966, 723, 13042, 713, 607, 519, 1582, 2173, 539, 1709, 8367, 563, 4913, 267, 621, 568, 1134, 1673, 29545, 602, 7296, 13514, 1082, 1072, 4220, 269, 8865, 538, 1448, 267, 476, 272, 856, 540, 476, 276, 1004, 5884, 12422, 689, 13189, 1813, 547, 922, 2404, 3676, 267, 1519, 2295, 2068, 543, 3987, 269, 901, 568, 2523, 7282, 585, 1346, 609, 11838, 1317, 789, 616, 2907, 19753, 12723, 547, 1896, 2175, 269, 1306, 13890, 538, 513, 3105, 2376, 524, 782, 539, 968, 4696, 8461, 543, 13379, 13809, 281, 1215, 547, 13773, 28546, 543, 13245, 5608, 513, 1268, 609, 11838, 568, 2185, 2053, 811, 2693, 547, 581, 17324, 267, 799, 6770, 827, 922, 1378, 3982, 2564, 6937, 267, 971, 607, 13119, 543, 30169, 563, 763, 4161, 1287, 3587, 875, 11838, 2550, 666, 16718, 269, 8307, 476, 278, 269, 276, 260, 540, 782, 1346, 945, 3801, 547, 16718, 7296, 616, 3811, 1317, 540, 15639, 2589, 269, 1452, 1152, 2417, 24395, 622, 519, 4540, 10832, 540, 11838, 267, 12077, 3668, 540, 1445, 543, 7099, 4713, 267, 1818, 621, 2352, 585, 11838, 21596, 547, 3247, 269, 3194, 2982, 602, 15522, 26351, 616, 849, 1454, 811, 7920, 585, 11838, 2550, 267, 543, 621, 3217, 7899, 540, 6857, 4674, 547, 16718, 7357, 563, 19522, 602, 949, 948, 11838, 21596, 547, 16718, 454, 3080, 540, 519, 1655, 2081, 547, 1205, 11838, 21596, 547, 3247, 568, 547, 649, 534, 1055, 3079, 540, 2469, 4411, 21429, 269, 12832, 13534, 10682, 3797, 630, 301, 20670, 264, 2472, 1683, 6417, 13121, 1137, 602, 13468, 15639, 2589, 269, 5015, 267, 789, 2461, 8810, 547, 2333, 519, 8458, 540, 29696, 676, 909, 547, 476, 3583, 9077, 543, 789, 2097, 538, 1585, 11791, 10366, 602, 616, 8810, 547, 2333, 22006, 267, 799, 666, 18663, 2635, 1582, 14194, 3439, 1674, 2623, 269, 1717, 267, 621, 779, 1655, 547, 4063, 602, 519, 15522, 1543, 949, 1291, 547, 513, 1906, 2427, 2360, 269, 769, 513, 5816, 2022, 676, 2398, 8759, 593, 519, 2427, 2360, 540, 2098, 312, 301, 15522, 533, 537, 2583, 267, 519, 2376, 14592, 875, 3755, 949, 1995, 5023, 15319, 1145, 610, 606, 13347, 7181, 950, 789, 4188, 269, 18641, 267, 891, 2152, 666, 581, 9619, 676, 3274, 4657, 13121, 1137, 610, 10366, 547, 1265, 519, 1318, 3666, 269, 6684, 267, 6547, 689, 13206, 527, 1503, 267, 513, 15522, 15429, 4781, 267, 1331, 4887, 1928, 543, 2960, 16698, 267, 18445, 602, 715, 20670, 338, 1058, 1869, 581, 1031, 609, 1416, 563, 20797, 2318, 15699, 454, 288, 2487, 1353, 593, 7296, 17712, 29561, 1336, 602, 2318, 15699, 949, 581, 513, 1883, 547, 3247, 585, 11838, 21596, 269, 12824, 6035, 13075, 12587, 585, 1346, 945, 7307, 547, 3251, 2476, 689, 13189, 269, 2311, 519, 1439, 540, 519, 1353, 267, 476, 5038, 260, 540, 11838, 21596, 941, 3811, 269, 5811, 689, 519, 10228, 14288, 7643, 602, 2883, 15314, 616, 6225, 538, 713, 2543, 269, 2986, 1576, 267, 713, 3085, 1406, 1611, 596, 991, 547, 1265, 513, 1808, 2724, 21445, 7296, 1982, 610, 2736, 707, 1378, 6578, 269, 1677, 798, 713, 693, 1753, 267, 596, 666, 1305, 19325, 585, 1169, 3018, 596, 979, 1510, 7296, 543, 1521, 3054, 547, 1945, 596, 2972, 267, 689, 519, 2724, 596, 4688, 689, 5969, 1055, 13189, 269, 9717, 602, 519, 3328, 16906, 15137, 518, 22939, 5176, 1269, 276, 267, 1822, 543, 1346, 945, 642, 1901, 1210, 2472, 899, 808, 308, 8085, 6108, 20733, 540, 1269, 272, 267, 1822, 12422, 267, 602, 779, 513, 2603, 540, 3063, 2200, 596, 666, 556, 718, 11229, 547, 811, 6209, 7296, 29696, 15314, 563, 763, 2805, 568, 1419, 5227, 607, 513, 2126, 585, 1346, 8995, 609, 11838, 269, 898, 20674, 2550, 538, 4466, 519, 1318, 1935, 547, 8853, 609, 741, 2783, 269, 898, 2337, 873, 1852, 741, 25372, 543, 10274, 873, 547, 1445, 1732, 269, 6684, 267, 9354, 6304, 568, 1634, 547, 2333, 519, 8458, 540, 7296, 29696, 676, 476, 1691, 10065, 1879, 19610, 1927, 267, 11838, 21596, 666, 4309, 7850, 1489, 593, 875, 547, 16718, 519, 4356, 543, 6707, 2226, 713, 1279, 3856, 269, 1280, 1863, 13508, 267, 476, 272, 268, 8517, 268, 12702, 3951, 9539, 8582, 568, 513, 15146, 16718, 1467, 602, 3091, 1489, 18487, 998, 18006, 543, 2228, 2200, 269, 0, 7093, 3685, 609, 21834, 543, 6601, 5338, 454, 763, 4436, 2701, 23311, 9742, 568, 835, 540, 519, 1034, 3810, 8179, 1310, 14981, 547, 6718, 267, 543, 585, 1434, 2601, 269, 4256, 14017, 538, 11505, 543, 31806, 998, 2182, 960, 543, 2866, 2306, 873, 513, 9742, 602, 568, 5078, 585, 513, 3309, 2039, 540, 2713, 3871, 269, 1717, 267, 4436, 2701, 23311, 5411, 1590, 581, 6297, 711, 547, 936, 1740, 873, 1813, 547, 741, 2799, 1981, 540, 3478, 12048, 7988, 25936, 563, 6524, 9991, 2212, 936, 533, 9155, 585, 891, 6653, 855, 8746, 15274, 267, 17053, 2915, 5411, 1058, 581, 530, 776, 540, 519, 5732, 27676, 5868, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 4699, 281, 476, 1428, 5998, 269, 901, 1797, 602, 476, 272, 1298, 9014, 593, 519, 4786, 4564, 476, 1428, 12919, 538, 1483, 1272, 563, 763, 4890, 3845, 1063, 519, 1079, 2749, 7740, 568, 476, 15171, 271, 12919, 563, 2171, 666, 1305, 909, 519, 3830, 607, 5205, 912, 272, 4699, 593, 519, 4786, 815, 476, 1428, 5998, 538, 1483, 1272, 454, 343, 4699, 593, 519, 4786, 815, 476, 15171, 271, 5998, 538, 1483, 1272, 454, 4131, 781, 4194, 585, 1535, 912, 343, 4699, 1315, 476, 272, 4699, 815, 476, 15171, 271, 5998, 1315, 476, 1428, 5998, 454, 343, 815, 476, 6434, 454, 763, 1871, 540, 1535, 568, 476, 6434, 563, 763, 2626, 568, 281, 476, 6434, 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, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 674, 7037, 6807, 267, 5030, 1079, 1655, 2828, 910, 27385, 519, 6129, 17810, 543, 570, 20207, 519, 25725, 269, 1358, 6068, 3695, 2470, 1927, 1282, 1114, 12405, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 1265, 856, 519, 3328, 2837, 538, 670, 1564, 1074, 328, 1282, 519, 4832, 3275, 1317, 789, 1185, 4862, 865, 1454, 827, 713, 8748, 1747, 780, 306, 20632, 4280, 267, 834, 307, 20207, 267, 798, 596, 917, 875, 649, 666, 2268, 519, 2837, 8119, 570, 20207, 2219, 585, 513, 1247, 543, 14452, 267, 834, 8133, 256, 1284, 666, 946, 938, 1360, 1378, 26282, 1701, 2060, 10761, 267, 789, 10099, 3481, 741, 11442, 26282, 543, 3459, 741, 7045, 780, 2026, 4166, 607, 789, 3323, 741, 3460, 267, 789, 1558, 6004, 269, 16737, 267, 945, 729, 1634, 585, 1010, 7326, 2429, 674, 7037, 6807, 269, 22628, 741, 11442, 26282, 267, 646, 669, 3089, 1194, 543, 1767, 267, 834, 7069, 15210, 2828, 267, 952, 1152, 7893, 519, 2837, 941, 602, 2653, 10590, 1261, 1287, 6045, 267, 834, 307, 17687, 6645, 721, 875, 3905, 610, 4411, 1945, 568, 269, 769, 670, 1564, 1074, 328, 267, 28782, 616, 2356, 7646, 543, 3636, 267, 609, 5210, 8151, 1063, 476, 1428, 268, 736, 5232, 17622, 630, 6795, 268, 6924, 18278, 1070, 799, 568, 3501, 585, 17552, 333, 923, 543, 9205, 2238, 3010, 295, 8960, 713, 1344, 267, 27385, 543, 570, 20207, 5433, 11235, 547, 2671, 713, 1702, 609, 782, 540, 674, 7037, 6807, 269, 1717, 267, 950, 789, 8120, 1753, 267, 789, 4362, 602, 741, 10475, 11442, 26282, 1185, 7745, 2059, 519, 1259, 269, 4014, 25922, 267, 789, 4121, 602, 1256, 1510, 16681, 2645, 267, 835, 1223, 1869, 1451, 1082, 4277, 1919, 676, 6158, 547, 2186, 543, 8797, 7068, 899, 6004, 269, 16737, 269, 1656, 865, 267, 1169, 942, 2576, 5018, 670, 1564, 1074, 328, 267, 27385, 1131, 23217, 2161, 267, 834, 25105, 9811, 267, 519, 4190, 2749, 1141, 28782, 616, 7646, 543, 3636, 15323, 18204, 7992, 3163, 281, 13823, 1027, 519, 1523, 540, 2837, 267, 922, 6482, 267, 543, 519, 2039, 540, 2837, 538, 670, 1564, 1074, 328, 1282, 4832, 3275, 563, 13142, 3030, 1299, 15511, 281, 23095, 7874, 4205, 1851, 3197, 547, 1865, 543, 1174, 519, 2257, 2856, 563, 308, 10811, 4624, 3828, 626, 281, 1230, 7672, 609, 513, 7745, 11442, 26282, 267, 10771, 1565, 1223, 4755, 1217, 958, 1932, 267, 7488, 540, 22303, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 568, 519, 3328, 2837, 538, 670, 1564, 1074, 328, 1282, 519, 4832, 3275, 888, 763, 3328, 2837, 538, 670, 1564, 1074, 328, 1282, 519, 4832, 3275, 630, 18907, 267, 5147, 267, 543, 4864, 264, 568, 1472, 476, 1428, 268, 736, 9180, 630, 6795, 268, 6924, 13790, 1040, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 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, 634, 22504, 7169, 267, 799, 3576, 1747, 1063, 476, 3192, 279, 543, 476, 3192, 280, 267, 729, 513, 13710, 2680, 602, 11014, 4957, 519, 2797, 5251, 540, 9459, 543, 1185, 2484, 23568, 6286, 585, 519, 5664, 5101, 543, 519, 1158, 693, 1804, 269, 901, 4838, 6825, 519, 1439, 540, 513, 5553, 17489, 1974, 540, 16313, 673, 4341, 538, 9459, 267, 13868, 621, 609, 606, 9099, 14081, 896, 519, 5718, 540, 15718, 520, 3326, 1695, 22859, 3128, 331, 1695, 10609, 727, 7236, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 3123, 267, 1883, 2621, 267, 543, 4539, 540, 519, 22504, 7169, 267, 6313, 922, 4644, 1369, 519, 6626, 2796, 540, 2518, 26201, 267, 909, 5142, 902, 267, 543, 15141, 687, 780, 2414, 2253, 609, 267, 1577, 721, 2263, 519, 3140, 20457, 1996, 799, 519, 22504, 7169, 11200, 539, 269, 4595, 519, 2038, 476, 5002, 271, 338, 267, 9459, 1185, 1044, 21679, 609, 30222, 3646, 6322, 693, 28006, 519, 4182, 689, 513, 2757, 2486, 547, 513, 811, 16712, 267, 5375, 1242, 1533, 269, 1452, 8942, 941, 1558, 609, 4187, 689, 1585, 9922, 540, 22504, 2486, 267, 3226, 519, 23464, 543, 15061, 2609, 945, 4718, 971, 2242, 607, 6937, 547, 741, 3909, 4978, 543, 1259, 540, 1272, 269, 1635, 519, 4571, 2389, 342, 12351, 2540, 267, 771, 20880, 609, 519, 15194, 623, 1695, 15442, 328, 15913, 3459, 547, 1332, 1813, 547, 7839, 6710, 267, 13864, 267, 543, 2797, 1065, 1833, 269, 3958, 267, 519, 20961, 781, 2673, 13218, 609, 519, 2136, 2276, 23185, 4550, 12677, 18941, 543, 8329, 547, 3395, 27025, 8351, 609, 1010, 12512, 780, 763, 3735, 476, 3192, 271, 338, 14754, 513, 3126, 540, 17600, 543, 23405, 3366, 676, 1585, 11685, 2516, 267, 1519, 12666, 24339, 1846, 267, 14100, 1235, 267, 543, 5771, 626, 5322, 269, 7324, 891, 1249, 687, 267, 519, 5771, 626, 3350, 267, 27490, 20243, 676, 15718, 520, 3326, 1695, 22859, 3128, 331, 1695, 10609, 727, 7236, 267, 6591, 1713, 11610, 543, 7153, 607, 519, 3119, 3196, 6117, 519, 12316, 20352, 269, 10609, 727, 7236, 781, 1347, 29487, 5718, 543, 3532, 5048, 6949, 730, 609, 519, 13999, 267, 27647, 1944, 873, 547, 4161, 519, 6392, 540, 519, 20961, 543, 3747, 4909, 1689, 780, 15703, 11358, 8090, 3989, 519, 18330, 540, 519, 22504, 7169, 269, 2290, 971, 10071, 729, 519, 4873, 476, 3192, 279, 818, 5459, 4323, 593, 519, 28037, 9047, 1234, 343, 14364, 538, 2806, 24460, 267, 799, 8507, 538, 519, 7972, 540, 7366, 540, 7260, 2998, 619, 269, 4014, 7620, 5156, 547, 581, 606, 957, 540, 818, 5459, 8149, 676, 5771, 626, 17119, 1235, 267, 621, 2663, 2968, 2312, 602, 8069, 540, 519, 20961, 781, 2229, 941, 3743, 585, 519, 13357, 269, 901, 13414, 2417, 2144, 10757, 1857, 3972, 538, 519, 20961, 543, 29103, 1229, 1489, 585, 519, 12316, 2014, 780, 5194, 2565, 7432, 1448, 3357, 950, 1744, 777, 712, 25234, 6255, 3511, 267, 513, 9793, 22267, 267, 10924, 5604, 607, 11788, 10579, 538, 5130, 476, 3192, 280, 1739, 519, 20961, 781, 22576, 689, 519, 2197, 269, 6736, 25234, 6255, 3511, 781, 15752, 547, 2936, 15024, 543, 726, 659, 622, 519, 11685, 267, 646, 8959, 547, 844, 749, 519, 8375, 20352, 540, 19727, 269, 2201, 5988, 476, 272, 267, 476, 3192, 280, 267, 15718, 520, 3326, 1695, 10609, 727, 7236, 8120, 547, 1855, 327, 3757, 1310, 1296, 540, 24815, 267, 30870, 676, 6634, 540, 795, 889, 559, 656, 18793, 269, 10738, 2395, 267, 519, 4108, 10294, 29591, 267, 3927, 10678, 519, 20961, 781, 12081, 543, 22338, 519, 1259, 585, 519, 10661, 540, 606, 9099, 14081, 780, 16729, 519, 1967, 540, 519, 4838, 267, 9459, 4810, 7096, 1514, 267, 2804, 267, 543, 2797, 7004, 269, 589, 1007, 11156, 267, 32738, 998, 513, 3084, 22275, 31558, 538, 5412, 476, 3192, 280, 267, 3964, 513, 2189, 1062, 540, 10350, 1634, 607, 20653, 599, 520, 3887, 13056, 336, 8811, 630, 10817, 731, 2103, 1222, 540, 519, 808, 9766, 1440, 644, 550, 1040, 7201, 713, 5943, 267, 10700, 6392, 1964, 539, 609, 519, 10966, 26064, 267, 513, 2990, 4371, 676, 15718, 520, 3326, 1695, 10609, 727, 7236, 2394, 1010, 2669, 538, 476, 2735, 280, 269, 901, 6521, 2509, 519, 7095, 4341, 4396, 1881, 519, 1379, 3490, 540, 519, 804, 518, 673, 16918, 1247, 8589, 1944, 824, 12415, 540, 22504, 2486, 780, 1103, 1840, 547, 12250, 2242, 267, 519, 22504, 7169, 849, 4547, 827, 1713, 2686, 10593, 269, 6468, 781, 2924, 267, 5892, 16798, 896, 519, 20961, 781, 12512, 267, 5185, 4049, 9993, 607, 16601, 1654, 4979, 543, 4008, 17478, 2968, 24451, 269, 5015, 267, 5191, 540, 4633, 543, 10198, 941, 1225, 339, 9229, 267, 3056, 547, 519, 21109, 540, 4744, 1211, 9739, 543, 519, 20655, 540, 12102, 2516, 780, 2750, 27238, 267, 519, 22504, 7169, 2269, 1441, 1894, 609, 5375, 7060, 267, 3226, 519, 2136, 2276, 267, 28285, 538, 519, 25337, 3984, 720, 6433, 693, 519, 1977, 2377, 29983, 538, 1855, 327, 3757, 269, 7831, 532, 476, 29900, 2395, 267, 713, 20320, 1796, 4752, 16094, 8697, 2475, 16927, 3757, 1014, 1894, 543, 1305, 519, 3942, 585, 5756, 540, 1918, 13920, 1063, 519, 1079, 6082, 269, 5047, 267, 519, 4838, 6273, 2147, 5771, 626, 5322, 2066, 519, 5664, 5101, 267, 7700, 547, 16132, 543, 3392, 4115, 4655, 538, 519, 3148, 780, 2026, 649, 2992, 593, 519, 9371, 540, 519, 22504, 7169, 267, 1896, 4245, 10836, 3823, 519, 6384, 540, 12316, 1689, 543, 922, 1764, 593, 4207, 7239, 269, 17616, 267, 519, 1909, 540, 16809, 3112, 581, 19765, 13846, 538, 20834, 1944, 2527, 1489, 543, 5935, 2022, 3146, 23728, 776, 5238, 269, 19627, 267, 519, 22504, 1995, 19156, 519, 2591, 7915, 538, 19597, 908, 1379, 9624, 12721, 4690, 543, 1249, 1308, 15180, 1845, 269, 7053, 267, 519, 5571, 13253, 1063, 9459, 543, 519, 4639, 4196, 607, 513, 12576, 540, 875, 12316, 23543, 666, 3136, 547, 3337, 3486, 1894, 1279, 1310, 519, 3355, 30331, 10052, 814, 7449, 3660, 780, 21010, 532, 519, 1888, 540, 26201, 609, 1699, 3466, 267, 621, 568, 10423, 602, 2442, 909, 5142, 902, 543, 7569, 585, 11180, 1689, 2611, 4143, 4798, 538, 2221, 781, 1158, 269, 3245, 519, 6259, 11354, 547, 519, 15173, 15158, 17600, 267, 8723, 4961, 616, 5051, 7682, 532, 741, 8116, 543, 4101, 28974, 20816, 269, 2755, 1142, 2013, 6799, 3982, 6381, 543, 4093, 267, 789, 782, 2671, 1455, 16060, 16046, 873, 547, 2250, 12316, 9620, 1765, 4067, 569, 267, 519, 1391, 585, 15683, 267, 5126, 267, 543, 1582, 24148, 269, 1306, 971, 267, 4974, 519, 22504, 7169, 3091, 3407, 4030, 883, 519, 10848, 543, 32475, 540, 12316, 6214, 267, 17766, 1769, 593, 1312, 519, 14767, 543, 25354, 540, 9097, 6848, 7004, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10144, 781, 6243, 540, 16273, 454, 347, 12901, 1335, 281, 834, 288, 3405, 12312, 541, 10854, 5055, 257, 630, 289, 1263, 8932, 10245, 257, 7069, 13642, 19377, 4840, 347, 302, 24810, 1530, 531, 540, 519, 6554, 540, 16273, 2008, 663, 4102, 2749, 454, 663, 3084, 1893, 454, 347, 28403, 2213, 6237, 4654, 2008, 347, 20685, 5371, 2516, 11406, 347, 30025, 1475, 4462, 3202, 8789, 18407, 25931, 14081, 2008, 347, 2918, 4728, 476, 3192, 272, 2008, 347, 1626, 5412, 476, 3192, 272, 2008, 347, 1626, 5412, 476, 3192, 273, 2008, 347, 16825, 267, 29121, 5998, 273, 630, 6872, 267, 17168, 13483, 11465, 264, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5334, 13645, 263, 19417, 267, 7291, 994, 825, 8640, 3337, 2652, 834, 28256, 4120, 13426, 1038, 2721, 4671, 686, 4120, 263, 19417, 267, 7291, 994, 825, 8640, 3337, 2652, 834, 323, 3554, 1180, 13426, 1038, 2721, 5091, 3554, 1180, 263, 19417, 267, 7291, 994, 825, 8640, 3337, 2652, 834, 343, 13426, 1038, 2721, 13448, 263, 19417, 267, 7291, 2020, 692, 258, 570, 7495, 302, 281, 5153, 476, 276, 910, 1205, 3403, 689, 3593, 547, 2721, 7291, 610, 4396, 454, 3698, 1205, 318, 719, 1467, 10031, 825, 7291, 815, 1412, 1412, 454, 825, 1247, 7291, 2652, 1412, 1412, 912, 1038, 3337, 815, 3403, 2891, 11073, 1467, 1152, 286, 630, 344, 21610, 2567, 19515, 1038, 3337, 815, 3337, 31573, 4590, 1038, 952, 3337, 2652, 834, 344, 257, 610, 3337, 2652, 834, 301, 13426, 2018, 952, 3337, 2652, 834, 344, 13426, 3546, 2132, 6936, 454, 1038, 8640, 3337, 2652, 834, 333, 13426, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 3337, 2652, 1412, 1412, 454, 2018, 3136, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3337, 318, 12407, 815, 1205, 318, 27729, 4590, 825, 4463, 318, 12407, 815, 1205, 318, 19417, 4590, 825, 7291, 318, 12407, 815, 1205, 318, 719, 1467, 4590, 825, 2721, 263, 27729, 318, 12407, 267, 4463, 318, 12407, 267, 7291, 318, 12407, 2020, 0, 258, 5269, 2386, 707, 3977, 13292, 519, 7084, 2608, 1410, 18075, 20330, 26367, 318, 639, 720, 815, 703, 9272, 31156, 604, 2780, 318, 639, 720, 2999, 476, 273, 912, 825, 1820, 2891, 6546, 4667, 10257, 5602, 19197, 2780, 318, 639, 720, 2999, 476, 275, 912, 825, 1820, 2891, 2710, 596, 723, 942, 585, 4376, 3116, 286, 5602, 12828, 912, 825, 1820, 2891, 2791, 991, 547, 1205, 3544, 811, 32405, 0, 2399, 3645, 815, 703, 9272, 15405, 2889, 323, 815, 476, 272, 454, 6112, 27353, 11203, 476, 272, 912, 825, 605, 323, 2608, 284, 27353, 454, 825, 27353, 20699, 476, 272, 454, 2745, 263, 2889, 323, 994, 0, 30700, 23962, 815, 10581, 9272, 15405, 20135, 23962, 815, 10581, 9272, 31156, 14079, 30648, 1417, 720, 815, 630, 30700, 23962, 1315, 2698, 23962, 264, 2608, 476, 1911, 7531, 604, 3446, 30648, 1417, 720, 3436, 476, 3445, 269, 271, 912, 825, 1820, 2891, 288, 5602, 19197, 3446, 30648, 1417, 720, 3436, 476, 3199, 269, 271, 912, 825, 1820, 2891, 289, 5602, 19197, 3446, 30648, 1417, 720, 3436, 476, 3583, 269, 271, 912, 825, 1820, 2891, 290, 5602, 19197, 3446, 30648, 1417, 720, 3436, 476, 2568, 269, 271, 912, 825, 1820, 2891, 291, 5602, 12828, 912, 825, 1820, 2891, 293, 15419, 0, 338, 13990, 815, 3403, 14061, 20889, 4590, 258, 2322, 707, 9226, 3009, 1934, 454, 4532, 8091, 18045, 815, 476, 271, 454, 322, 8091, 18045, 815, 476, 271, 692, 1721, 1775, 538, 8464, 912, 825, 952, 1775, 2652, 1412, 296, 12466, 1038, 11234, 18045, 6834, 476, 272, 454, 825, 8640, 1775, 2652, 1412, 290, 12466, 1038, 952, 11234, 18045, 2999, 476, 274, 912, 2018, 2953, 18045, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 3136, 692, 604, 11234, 18045, 2999, 476, 274, 912, 825, 1820, 2891, 2791, 4465, 5602, 12828, 912, 825, 1820, 2891, 29228, 936, 5602, 2745, 6262, 8091, 18045, 2020, 0, 5814, 4351, 1477, 5228, 6486, 1104, 9315, 1477, 5228, 3959, 1104, 4570, 5334, 7057, 267, 4570, 24417, 3471, 1477, 5035, 1546, 1188, 6769, 453, 10454, 1546, 1188, 1362, 568, 513, 4015, 540, 476, 7367, 6486, 269, 834, 1477, 22592, 6449, 8181, 9191, 1345, 8029, 453, 19677, 11519, 11568, 815, 314, 9315, 4433, 19885, 264, 585, 521, 538, 4570, 5334, 7057, 585, 562, 538, 4570, 24417, 3471, 15947, 453, 13537, 630, 1345, 11519, 11568, 3418, 453, 13537, 630, 6352, 4311, 11519, 11568, 264, 10142, 22592, 695, 28984, 4311, 8029, 453, 453, 12690, 11075, 28984, 4311, 11519, 11568, 3418, 453, 13537, 4311, 11519, 11568, 10142, 22592, 568, 6831, 731, 18425, 318, 1372, 1188, 4311, 267, 15258, 8029, 453, 22610, 3556, 318, 5228, 318, 1372, 1188, 538, 1582, 11519, 11568, 6769, 4848, 14851, 3556, 269, 3901, 2583, 6262, 731, 318, 5228, 318, 1372, 1188, 8029, 15235, 16596, 6936, 1477, 453, 16596, 8771, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 5897, 453, 1372, 1188, 15058, 6831, 1841, 815, 1546, 1188, 14052, 453, 258, 1372, 1188, 15058, 6831, 1841, 11075, 28984, 14052, 453, 3240, 6831, 731, 318, 272, 815, 9315, 2891, 295, 2580, 834, 274, 14744, 453, 3240, 6831, 731, 318, 273, 815, 9315, 2891, 295, 2580, 834, 272, 14744, 13537, 630, 3240, 6831, 731, 318, 272, 269, 3901, 2583, 263, 1250, 6831, 731, 318, 273, 17903, 13537, 9497, 2280, 781, 3406, 585, 2433, 2580, 1250, 6831, 731, 318, 272, 3418, 13537, 263, 1372, 1188, 15058, 6831, 1841, 18994, 6831, 731, 18425, 318, 1372, 1188, 30044, 6831, 731, 318, 273, 264, 10142, 0, 5814, 1770, 11687, 454, 5228, 2262, 15575, 1104, 2262, 15575, 692, 342, 272, 815, 2262, 15575, 10797, 5035, 1449, 21595, 30308, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 18045, 4311, 2187, 1038, 1582, 27863, 26028, 272, 269, 5320, 15575, 3488, 15916, 30670, 476, 272, 994, 1038, 1582, 27863, 26028, 272, 269, 5320, 15575, 3488, 7069, 2012, 568, 9538, 1070, 476, 274, 994, 1038, 1582, 27863, 26028, 272, 269, 5320, 15575, 3488, 1607, 4845, 814, 2947, 1913, 9538, 1070, 476, 276, 2020, 825, 1219, 1449, 25292, 318, 19587, 4311, 2187, 1038, 609, 1582, 20596, 26244, 2478, 263, 13911, 13286, 2187, 2018, 530, 272, 269, 5320, 15575, 263, 272, 994, 2018, 530, 272, 269, 5320, 15575, 263, 272, 269, 271, 994, 2018, 530, 272, 269, 5320, 15575, 263, 4968, 1822, 1822, 876, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5087, 547, 24430, 3534, 538, 4873, 267, 21945, 1175, 538, 942, 585, 519, 28592, 547, 10205, 8125, 626, 571, 269, 31035, 689, 513, 1236, 3305, 880, 693, 918, 7238, 560, 775, 267, 972, 729, 2370, 585, 519, 16167, 547, 798, 269, 20913, 14100, 844, 5792, 602, 972, 789, 616, 267, 519, 3943, 3257, 4986, 267, 1310, 6905, 21339, 267, 519, 4229, 15354, 593, 519, 25345, 538, 5181, 476, 6977, 275, 543, 10692, 741, 1259, 547, 513, 1448, 5045, 540, 1530, 341, 770, 641, 565, 1310, 513, 3126, 540, 3811, 12959, 269, 634, 28592, 4831, 3430, 17977, 593, 476, 1839, 5239, 538, 1018, 2968, 519, 11135, 540, 7195, 659, 331, 6072, 543, 941, 1065, 6160, 539, 267, 513, 2034, 4831, 3430, 871, 267, 10288, 13948, 676, 22956, 267, 729, 17204, 676, 744, 3405, 623, 26474, 269, 634, 4395, 12306, 883, 513, 26362, 543, 3366, 547, 2175, 585, 10136, 593, 1312, 5011, 563, 22102, 518, 3527, 941, 5645, 856, 538, 519, 27397, 267, 519, 24272, 30510, 267, 1530, 341, 770, 641, 565, 8593, 1310, 22221, 3275, 267, 543, 9243, 2477, 3459, 547, 6443, 519, 20466, 2014, 269, 1772, 565, 730, 543, 6849, 513, 6926, 752, 19175, 540, 12289, 689, 519, 7178, 952, 519, 2112, 4797, 543, 713, 729, 20888, 676, 5333, 543, 6628, 267, 607, 741, 5396, 941, 4098, 547, 2490, 1996, 741, 6608, 607, 519, 2112, 1951, 13949, 593, 269, 634, 2112, 729, 8694, 676, 519, 15521, 540, 8303, 267, 9896, 593, 476, 1789, 4728, 476, 6977, 277, 267, 6576, 729, 24193, 689, 16475, 10617, 4721, 538, 519, 4563, 7256, 269, 634, 16368, 642, 817, 531, 2829, 540, 9931, 778, 807, 543, 27718, 822, 807, 2968, 7361, 4830, 267, 10271, 972, 941, 11292, 513, 4110, 540, 4013, 7862, 267, 543, 519, 18179, 5783, 1036, 7134, 1852, 540, 519, 4168, 13039, 538, 15539, 269, 634, 17235, 534, 2782, 729, 835, 540, 519, 1101, 7526, 547, 946, 4066, 971, 607, 23292, 17189, 16115, 267, 7841, 1811, 454, 306, 3058, 17721, 24138, 454, 306, 3058, 17721, 24138, 568, 513, 476, 1960, 279, 1977, 12473, 2112, 12416, 4670, 1305, 1282, 519, 12833, 5235, 540, 11870, 22929, 538, 2622, 2782, 4083, 269, 898, 5205, 2136, 2276, 8136, 681, 13377, 18279, 3627, 670, 269, 16019, 543, 513, 27805, 607, 789, 3406, 585, 513, 1612, 520, 549, 6016, 267, 17721, 3689, 4147, 6276, 14731, 24138, 267, 945, 568, 519, 2063, 1606, 584, 341, 1516, 7015, 540, 2185, 1425, 545, 18779, 269, 634, 4670, 4607, 1035, 8010, 267, 10888, 1896, 17758, 585, 4670, 267, 5641, 269, 634, 4670, 14407, 539, 2475, 259, 4366, 272, 269, 279, 2929, 5001, 267, 1818, 621, 519, 4670, 540, 519, 1032, 269, 634, 4670, 729, 9930, 3990, 585, 476, 1556, 9142, 22952, 267, 1975, 1408, 6199, 338, 4287, 4465, 1010, 2034, 9142, 13815, 585, 7454, 10615, 267, 30540, 17721, 24138, 729, 5950, 593, 1753, 3381, 538, 2904, 476, 1960, 280, 267, 15980, 1776, 1269, 4510, 2929, 689, 6455, 269, 769, 476, 1001, 275, 267, 519, 4670, 729, 5697, 585, 11091, 538, 519, 2817, 17912, 3204, 3588, 676, 519, 7732, 540, 6837, 267, 1373, 16363, 15520, 267, 13840, 267, 538, 519, 3735, 476, 1960, 271, 338, 267, 606, 11361, 2622, 2782, 4083, 25982, 543, 1010, 1920, 3643, 519, 11870, 22929, 1977, 30895, 543, 17341, 538, 11870, 22929, 267, 5333, 269, 634, 25982, 15211, 1472, 519, 28200, 543, 267, 2390, 7487, 835, 1808, 1178, 4034, 821, 267, 2458, 22663, 547, 1010, 19704, 267, 593, 519, 6640, 540, 4873, 476, 277, 267, 3707, 275, 267, 519, 4098, 540, 519, 11870, 22929, 12833, 5235, 267, 1977, 7980, 5965, 547, 2244, 593, 15345, 21036, 16047, 563, 5445, 7985, 8185, 689, 741, 6560, 1996, 4436, 26462, 267, 3684, 7784, 20097, 267, 1310, 519, 6370, 267, 519, 1560, 540, 513, 4666, 17199, 14084, 3068, 1524, 593, 519, 11824, 267, 609, 590, 269, 24138, 23296, 4290, 539, 593, 519, 1394, 540, 1010, 3640, 267, 568, 3254, 269, 11531, 267, 538, 6115, 267, 667, 269, 595, 267, 693, 519, 772, 269, 590, 267, 2782, 4972, 267, 4937, 6723, 21244, 568, 5483, 602, 1614, 540, 519, 2185, 14552, 540, 519, 24138, 1920, 941, 7166, 538, 2962, 543, 602, 741, 3993, 568, 547, 4309, 782, 1614, 751, 5586, 2449, 593, 519, 1482, 1554, 269, 1261, 16137, 602, 519, 5067, 267, 17721, 3689, 4147, 6276, 14731, 24138, 267, 568, 513, 1612, 520, 549, 6016, 543, 568, 7508, 538, 2962, 12341, 538, 11870, 22929, 269, 21244, 267, 1310, 2542, 14062, 6931, 3712, 985, 645, 1460, 2421, 4484, 267, 9753, 602, 24138, 1590, 581, 1336, 267, 1614, 2395, 1310, 667, 28233, 267, 16019, 11392, 9753, 547, 1265, 24138, 543, 3142, 1864, 1394, 689, 519, 4395, 269, 1261, 7011, 956, 3670, 2367, 689, 1010, 2754, 1765, 307, 13478, 25885, 543, 1010, 2367, 1847, 856, 547, 3026, 340, 6807, 267, 789, 2743, 513, 27805, 689, 519, 476, 6200, 560, 5794, 13871, 10406, 269, 7167, 541, 15605, 10523, 1310, 1373, 8929, 676, 513, 2879, 23803, 267, 789, 12398, 513, 17721, 6276, 24138, 267, 855, 4166, 1451, 602, 646, 568, 711, 741, 812, 563, 5445, 1265, 513, 4759, 540, 27550, 753, 31458, 945, 28279, 873, 602, 1010, 6749, 7997, 729, 693, 22870, 969, 4068, 267, 2899, 789, 3914, 621, 267, 16019, 10742, 513, 3659, 540, 27550, 753, 267, 945, 8761, 602, 24138, 568, 21108, 513, 21825, 1271, 8115, 936, 519, 8585, 323, 699, 339, 5211, 538, 519, 14070, 4884, 540, 10548, 16279, 269, 2201, 519, 1259, 547, 10548, 16279, 267, 16019, 16976, 547, 9243, 1125, 513, 4436, 3684, 7784, 2990, 267, 1100, 3476, 8746, 538, 7085, 619, 5718, 267, 1234, 756, 523, 32141, 1010, 9837, 547, 9390, 519, 27805, 543, 519, 5692, 267, 20872, 513, 30925, 609, 9710, 341, 987, 269, 634, 4661, 646, 1846, 909, 2394, 16019, 1219, 4926, 519, 3510, 676, 12607, 3151, 1010, 4282, 538, 19742, 1272, 267, 1234, 756, 523, 19385, 14688, 16976, 547, 3251, 269, 16270, 12625, 693, 10548, 16279, 543, 519, 27805, 2097, 2390, 513, 1895, 540, 1612, 520, 549, 641, 619, 269, 24138, 568, 5143, 540, 1010, 14552, 7972, 267, 519, 5692, 547, 3142, 1864, 1753, 267, 543, 602, 1079, 2367, 1185, 1044, 4503, 538, 519, 1391, 547, 1265, 1864, 454, 289, 4490, 540, 7195, 659, 331, 6072, 454, 763, 27469, 4956, 1996, 606, 7525, 14213, 593, 1530, 341, 770, 641, 565, 543, 3079, 5423, 585, 513, 1486, 26167, 26362, 269, 1717, 267, 713, 8149, 519, 3703, 547, 519, 20237, 540, 519, 1318, 1166, 1678, 540, 519, 20466, 26362, 4238, 269, 634, 6370, 3459, 609, 513, 6739, 25044, 543, 26462, 4323, 593, 519, 16368, 2699, 12874, 1206, 602, 4646, 7195, 659, 15442, 553, 1101, 1899, 540, 20237, 267, 519, 16368, 4229, 7620, 5706, 539, 519, 6739, 14213, 338, 267, 855, 15877, 1489, 789, 941, 5555, 7142, 547, 18956, 269, 1879, 519, 2699, 12874, 1206, 8593, 267, 519, 6739, 29816, 6410, 547, 4497, 519, 2034, 17872, 1899, 4371, 676, 519, 16368, 267, 519, 3703, 543, 3943, 7904, 1115, 8977, 539, 689, 519, 10089, 326, 4115, 2823, 540, 24430, 3534, 593, 476, 276, 5181, 476, 6977, 275, 267, 16144, 2509, 918, 15401, 7534, 7345, 538, 519, 17235, 320, 269, 1635, 519, 476, 1691, 628, 267, 519, 10136, 3459, 547, 2244, 267, 1369, 2185, 2395, 519, 20466, 3196, 540, 476, 8618, 267, 6110, 26462, 267, 272, 267, 1220, 29816, 543, 476, 15389, 15963, 267, 729, 11849, 648, 269, 5240, 540, 631, 839, 327, 1731, 990, 338, 14710, 729, 1558, 609, 771, 10964, 3971, 676, 17578, 541, 22956, 594, 538, 853, 269, 22642, 7921, 1107, 621, 8604, 621, 1131, 1152, 581, 513, 2339, 540, 942, 1354, 1530, 341, 770, 641, 565, 8593, 269, 898, 568, 19225, 995, 547, 1589, 1018, 1522, 723, 5949, 267, 5206, 21470, 268, 3849, 332, 12637, 918, 1941, 559, 990, 267, 1185, 621, 711, 1044, 585, 713, 5470, 540, 519, 679, 655, 903, 563, 11990, 26990, 1195, 928, 267, 519, 3703, 14022, 903, 1034, 4810, 11653, 267, 23647, 606, 4323, 593, 1530, 341, 770, 641, 565, 689, 519, 5045, 799, 543, 713, 729, 513, 2070, 3838, 676, 12142, 5025, 337, 3534, 644, 945, 267, 2348, 4607, 1010, 1378, 4987, 540, 6739, 12927, 906, 267, 1185, 15189, 547, 3858, 547, 606, 4323, 689, 519, 5087, 269, 26990, 1195, 5886, 6069, 1166, 1678, 15292, 2838, 519, 27469, 547, 979, 5180, 519, 2749, 547, 519, 7532, 538, 1931, 547, 4323, 519, 3771, 13118, 689, 519, 5045, 1141, 519, 1219, 1878, 941, 4617, 652, 269, 1733, 12241, 631, 839, 327, 1731, 990, 6410, 7532, 267, 519, 17454, 6363, 3402, 6874, 24642, 880, 7952, 267, 609, 519, 3703, 538, 519, 642, 1481, 731, 267, 519, 3002, 729, 26568, 267, 519, 1216, 23661, 267, 543, 26601, 5028, 678, 1057, 267, 2921, 513, 5230, 17167, 593, 519, 2367, 1519, 12142, 5025, 337, 3534, 644, 945, 729, 2907, 2192, 609, 2860, 269, 634, 15292, 1185, 1044, 513, 4693, 543, 729, 711, 1510, 10071, 269, 1635, 519, 476, 2918, 628, 267, 681, 698, 17427, 1185, 6603, 519, 8498, 540, 918, 611, 1731, 16211, 543, 602, 1482, 1554, 12142, 5025, 337, 3534, 644, 267, 1631, 9691, 2192, 267, 1147, 16781, 1229, 1010, 4971, 547, 4937, 2052, 549, 6975, 269, 634, 3771, 13118, 693, 7195, 659, 331, 6072, 729, 1932, 1507, 585, 1312, 20466, 20679, 547, 946, 267, 676, 2924, 519, 3943, 267, 945, 1185, 10645, 519, 22632, 540, 8066, 519, 1318, 540, 519, 1899, 267, 1058, 723, 13026, 7195, 659, 331, 6072, 15029, 519, 3703, 1058, 723, 6410, 7178, 547, 519, 16788, 540, 20673, 2255, 543, 21919, 625, 327, 563, 763, 3375, 676, 681, 698, 17427, 729, 513, 3983, 12161, 267, 543, 835, 585, 799, 519, 3703, 8136, 729, 547, 2628, 513, 15265, 3902, 267, 585, 1082, 267, 519, 1152, 24134, 585, 519, 1166, 1678, 15292, 729, 606, 7525, 14213, 2390, 1530, 341, 770, 641, 565, 269, 6723, 6869, 322, 691, 267, 19524, 540, 519, 3703, 476, 275, 628, 10406, 267, 5418, 12184, 609, 681, 698, 17427, 585, 8216, 2962, 267, 594, 993, 2386, 594, 1223, 3802, 883, 621, 267, 609, 17077, 569, 519, 2530, 540, 513, 812, 267, 5206, 6869, 322, 691, 547, 681, 698, 17427, 593, 476, 2764, 5181, 689, 519, 15627, 1657, 519, 9456, 1935, 547, 519, 2749, 269, 1284, 1223, 4734, 938, 24502, 267, 543, 2196, 883, 621, 1256, 538, 1930, 1554, 2560, 1284, 1294, 1004, 6972, 827, 519, 10754, 538, 1390, 1526, 1716, 566, 267, 855, 13657, 7173, 9229, 267, 543, 4566, 676, 26990, 1195, 928, 585, 513, 6101, 26362, 267, 20483, 676, 2052, 549, 6975, 267, 941, 5423, 269, 1879, 681, 698, 17427, 5143, 6869, 322, 691, 602, 4986, 1131, 4755, 2394, 519, 20466, 26362, 14884, 1185, 1044, 15354, 267, 6869, 322, 691, 1223, 711, 12404, 1010, 16698, 267, 855, 1250, 15210, 7083, 681, 698, 17427, 267, 1018, 519, 26881, 568, 972, 547, 22545, 1524, 269, 11109, 4956, 2390, 799, 2823, 789, 1131, 19582, 519, 27469, 1305, 827, 11766, 532, 741, 4229, 593, 519, 595, 1667, 2158, 324, 18686, 267, 519, 25345, 568, 22112, 547, 519, 5087, 676, 1530, 341, 770, 641, 565, 4498, 13118, 267, 693, 519, 2212, 540, 799, 519, 5211, 595, 3062, 11535, 8928, 689, 519, 5045, 3887, 770, 454, 763, 594, 2993, 611, 568, 606, 3504, 5259, 12473, 6648, 538, 546, 716, 344, 997, 15279, 600, 2678, 267, 12926, 11911, 547, 25264, 269, 3973, 519, 12473, 2239, 3217, 909, 2621, 4412, 1127, 1221, 585, 519, 2104, 267, 971, 607, 31456, 31873, 2669, 543, 519, 2887, 540, 31684, 267, 4352, 519, 2239, 7475, 1354, 891, 2621, 1491, 1747, 269, 1717, 267, 607, 2621, 616, 4776, 2682, 323, 543, 782, 24231, 547, 811, 543, 811, 12667, 569, 269, 634, 594, 2993, 611, 568, 19610, 609, 1945, 540, 513, 3524, 601, 267, 519, 31660, 267, 2059, 609, 519, 31660, 267, 519, 594, 2993, 611, 568, 1851, 519, 9510, 31607, 1568, 540, 5375, 3332, 267, 543, 922, 2854, 4528, 568, 2356, 18584, 547, 1472, 519, 476, 279, 628, 2540, 7460, 269, 10765, 8579, 20592, 1759, 593, 1893, 4720, 3947, 513, 4266, 540, 476, 31318, 1700, 278, 1015, 7460, 267, 538, 519, 2413, 5175, 22017, 267, 519, 594, 2993, 611, 3568, 476, 1428, 267, 7597, 274, 3515, 267, 621, 568, 2854, 538, 25264, 545, 5259, 267, 513, 5339, 31498, 600, 540, 594, 4577, 5259, 543, 824, 22463, 269, 8074, 267, 3883, 2338, 616, 538, 24324, 543, 2097, 1354, 519, 5348, 18462, 540, 519, 1433, 267, 1310, 606, 1045, 6327, 547, 519, 4053, 525, 267, 519, 1650, 31782, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1911, 4905, 6769, 825, 2040, 284, 20412, 622, 9217, 264, 258, 20412, 919, 2040, 540, 16975, 1477, 825, 952, 2040, 285, 328, 543, 2040, 283, 1911, 4905, 281, 258, 604, 519, 2040, 568, 3152, 982, 519, 1297, 3294, 543, 3085, 1405, 9765, 476, 1911, 876, 267, 5173, 2040, 540, 2188, 585, 602, 1477, 1038, 10917, 284, 20412, 622, 4433, 636, 3418, 1038, 952, 1775, 2525, 31184, 281, 258, 604, 1312, 616, 1336, 547, 581, 993, 27809, 1477, 2018, 1820, 9217, 267, 8999, 264, 258, 21646, 782, 993, 27809, 2338, 1477, 2018, 993, 545, 23544, 284, 25271, 23544, 266, 328, 266, 8999, 1477, 825, 1775, 23785, 272, 1477, 2745, 19629, 333, 2580, 25271, 23544, 3418, 0, 258, 3847, 318, 1575, 543, 824, 4632, 2099, 519, 3017, 1063, 519, 1101, 1297, 1775, 4318, 269, 476, 272, 267, 1477, 258, 663, 519, 824, 2338, 538, 519, 4287, 9138, 269, 1677, 1205, 519, 1985, 1297, 538, 519, 1482, 4287, 267, 1477, 258, 9767, 991, 547, 1039, 519, 713, 3017, 630, 6518, 4679, 676, 476, 279, 585, 1169, 21767, 264, 547, 519, 1699, 1297, 1477, 3847, 318, 1575, 284, 277, 1477, 3847, 10734, 582, 284, 275, 1477, 2431, 318, 1575, 284, 279, 1477, 2431, 10734, 582, 284, 273, 1477, 20135, 284, 272, 5897, 324, 2211, 284, 272, 266, 3847, 318, 1575, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 26341, 8029, 825, 2698, 23785, 324, 2211, 1477, 825, 2451, 318, 1575, 23785, 279, 1477, 825, 3693, 23785, 3847, 318, 1575, 1477, 24541, 324, 2211, 284, 272, 266, 2431, 10734, 582, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 26341, 8029, 825, 2698, 23785, 324, 2211, 1477, 825, 1318, 10734, 582, 23785, 279, 1477, 825, 3693, 23785, 2431, 10734, 582, 5897, 324, 2211, 284, 272, 266, 2431, 318, 1575, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 26341, 8029, 825, 2698, 23785, 324, 2211, 1477, 825, 1318, 318, 1575, 23785, 279, 1477, 825, 3693, 23785, 2431, 318, 1575, 5897, 324, 2211, 284, 272, 266, 3847, 10734, 582, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 26341, 8029, 825, 2698, 23785, 324, 2211, 1477, 825, 2451, 10734, 582, 23785, 279, 1477, 825, 3693, 23785, 3847, 10734, 582, 5897, 2745, 6025, 4973, 3418, 0, 12163, 1103, 1931, 547, 4194, 713, 4161, 596, 786, 991, 547, 1496, 516, 1613, 519, 3652, 540, 4936, 454, 19617, 5644, 28488, 10059, 2517, 4178, 269, 4118, 3974, 325, 684, 2593, 270, 668, 534, 5991, 636, 5644, 11258, 6393, 11693, 513, 4936, 6613, 1968, 630, 553, 513, 5569, 1070, 6460, 621, 547, 606, 8870, 269, 2659, 3403, 568, 454, 7666, 5875, 3975, 547, 581, 513, 4936, 6613, 1968, 1871, 689, 476, 272, 547, 476, 274, 4200, 280, 780, 7078, 476, 272, 1384, 19152, 281, 834, 4353, 4840, 20479, 281, 476, 275, 692, 7078, 476, 273, 1384, 19152, 281, 834, 311, 2862, 4840, 20479, 281, 476, 1321, 692, 7078, 476, 274, 1384, 19152, 281, 834, 10157, 7876, 18958, 311, 4353, 4840, 20479, 281, 476, 2735, 275, 454, 12163, 3698, 19005, 15461, 318, 15759, 518, 263, 668, 534, 2187, 825, 1948, 2659, 3009, 1934, 454, 825, 11837, 815, 13634, 1038, 834, 296, 9899, 476, 272, 2676, 1038, 834, 309, 9899, 476, 276, 2676, 1038, 834, 311, 9899, 476, 1015, 2676, 1038, 834, 299, 9899, 476, 2004, 2676, 1038, 834, 290, 9899, 476, 1911, 2676, 1038, 834, 291, 9899, 476, 4335, 2676, 1038, 834, 300, 9899, 476, 1911, 271, 2676, 825, 7684, 454, 25991, 454, 825, 2698, 815, 476, 271, 454, 825, 1775, 815, 476, 271, 454, 25991, 454, 825, 1948, 649, 3513, 1616, 547, 1413, 693, 19005, 27766, 1079, 27408, 8584, 6066, 3097, 825, 1247, 1775, 2999, 7003, 263, 668, 534, 2187, 1038, 1948, 10208, 633, 2013, 3097, 1038, 952, 1775, 1341, 476, 272, 2999, 7003, 263, 668, 534, 264, 543, 11837, 314, 668, 534, 5157, 14963, 2999, 11837, 314, 668, 534, 5157, 1341, 476, 272, 316, 14158, 2018, 1948, 952, 519, 2451, 1003, 1968, 2999, 1318, 1003, 1968, 454, 2018, 1948, 10208, 2451, 689, 1318, 3097, 2018, 886, 815, 11837, 314, 668, 534, 5157, 1341, 476, 272, 14963, 910, 11837, 314, 668, 534, 5157, 27663, 2018, 1948, 1039, 519, 1267, 547, 938, 2698, 454, 2018, 2698, 6834, 886, 454, 2018, 1948, 649, 991, 547, 18178, 1312, 27766, 3097, 2018, 1775, 6834, 476, 273, 454, 1038, 1948, 19605, 2013, 454, 1038, 3116, 912, 2018, 1948, 6382, 267, 2451, 1003, 1968, 13843, 1318, 1003, 1968, 3097, 2018, 1948, 1039, 519, 2451, 1003, 1968, 547, 938, 2698, 3097, 2018, 2698, 6834, 11837, 314, 668, 534, 5157, 27663, 2018, 1775, 6834, 476, 272, 454, 25991, 454, 825, 2132, 2698, 3097, 25991, 454, 2745, 263, 668, 534, 15461, 318, 15759, 518, 2891, 10157, 7876, 18958, 311, 4353, 8442, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 6482, 568, 267, 610, 598, 14287, 267, 875, 2484, 689, 519, 4080, 1871, 519, 3020, 630, 19587, 1863, 264, 1871, 1522, 581, 563, 278, 269, 13628, 267, 5130, 476, 1321, 267, 476, 1001, 273, 476, 280, 281, 5325, 281, 876, 7537, 11671, 338, 651, 10364, 1767, 2483, 279, 269, 568, 3379, 547, 519, 476, 4817, 260, 16275, 538, 7612, 476, 273, 321, 563, 280, 269, 1879, 5470, 13063, 1810, 1405, 4019, 634, 3803, 3791, 540, 519, 1895, 729, 2016, 513, 834, 339, 4459, 257, 2243, 780, 32325, 476, 280, 267, 476, 14056, 1700, 14093, 630, 1001, 273, 1040, 1403, 596, 1616, 547, 1397, 519, 8856, 540, 519, 16759, 1287, 1397, 519, 16275, 269, 769, 891, 2665, 630, 324, 3052, 1421, 562, 815, 476, 274, 1070, 621, 568, 1732, 547, 1397, 1367, 1239, 2418, 269, 9208, 18438, 769, 681, 1924, 5617, 807, 781, 2319, 14477, 8655, 835, 3791, 540, 519, 1895, 547, 1413, 693, 513, 3113, 8989, 3044, 5470, 3079, 540, 513, 476, 4817, 260, 6015, 8884, 281, 1215, 1705, 789, 798, 593, 713, 4305, 2496, 1607, 7194, 5829, 2376, 568, 513, 20839, 269, 9208, 18438, 1656, 9208, 8061, 2747, 16338, 8729, 585, 1818, 621, 257, 910, 12253, 548, 10557, 834, 1432, 513, 5363, 3135, 10590, 910, 7711, 330, 2077, 328, 3128, 6996, 834, 6546, 568, 9735, 256, 11289, 596, 269, 1948, 278, 25414, 22819, 31109, 4864, 476, 272, 267, 476, 1220, 279, 12344, 513, 3542, 6998, 595, 690, 291, 2905, 3988, 281, 630, 320, 264, 875, 1082, 1616, 5470, 13063, 282, 630, 321, 264, 875, 1082, 1810, 1405, 282, 543, 630, 322, 264, 875, 1082, 1810, 1405, 1416, 949, 2290, 568, 609, 519, 3044, 11539, 540, 513, 2582, 6482, 630, 21865, 1175, 1572, 519, 3044, 11539, 264, 543, 519, 824, 568, 609, 519, 3044, 11539, 540, 519, 1611, 267, 1419, 1572, 519, 3044, 692, 2080, 596, 786, 1265, 3232, 3377, 543, 18862, 827, 681, 267, 8329, 676, 936, 476, 6872, 274, 5816, 7970, 269, 9208, 18438, 769, 9185, 18438, 13063, 1419, 2099, 835, 3044, 11539, 540, 10462, 267, 835, 3044, 5470, 267, 610, 513, 1978, 6015, 8884, 630, 324, 3052, 1421, 513, 476, 4817, 260, 8884, 1040, 4427, 18285, 547, 681, 1532, 8421, 7970, 547, 4309, 552, 2173, 5661, 609, 519, 5767, 681, 9708, 269, 630, 2791, 786, 711, 1294, 713, 5048, 1586, 4700, 4427, 2466, 8437, 1934, 547, 2673, 630, 1607, 1402, 1575, 786, 711, 2408, 1586, 264, 2782, 940, 281, 634, 22720, 297, 476, 1960, 275, 282, 29616, 281, 476, 4200, 277, 269, 1496, 303, 10157, 1863, 2376, 316, 1496, 23809, 316, 275, 780, 1012, 9208, 18438, 1656, 9208, 8061, 2747, 16338, 692, 1607, 2039, 6227, 5111, 630, 893, 569, 264, 476, 4817, 260, 540, 519, 1239, 835, 666, 2503, 538, 519, 2551, 269, 13298, 519, 3604, 1063, 891, 1797, 616, 519, 1292, 1641, 540, 519, 7634, 269, 1879, 1677, 2422, 9208, 8061, 2747, 25966, 9208, 18438, 590, 4932, 31876, 281, 1879, 547, 4729, 12676, 5288, 269, 12054, 18438, 645, 1513, 9185, 2353, 519, 5515, 666, 581, 25735, 1210, 519, 22369, 2139, 538, 4675, 11915, 7305, 476, 272, 267, 609, 799, 596, 666, 2263, 519, 2078, 1063, 5470, 3046, 2450, 267, 7934, 543, 623, 1871, 780, 1432, 827, 28321, 1611, 543, 12676, 286, 5291, 2517, 5562, 9749, 2593, 270, 20598, 268, 19587, 270, 20598, 11546, 341, 2747, 268, 951, 639, 268, 20598, 268, 19587, 11258, 898, 3788, 602, 3044, 11539, 666, 1869, 581, 1031, 607, 513, 2268, 540, 24980, 1256, 585, 1875, 5991, 768, 958, 7856, 1239, 269, 1548, 666, 596, 9959, 950, 3044, 5470, 13063, 798, 16937, 286, 634, 8884, 4646, 676, 3044, 6959, 2285, 476, 6924, 260, 6015, 11996, 799, 616, 711, 3226, 4277, 11996, 269, 9208, 18438, 25966, 9208, 8061, 2747, 7151, 692, 2080, 616, 519, 5528, 875, 547, 5512, 10084, 29441, 538, 707, 1357, 11422, 269, 634, 5470, 13063, 1397, 476, 4817, 260, 6015, 11996, 585, 1346, 3604, 269, 630, 9616, 602, 649, 616, 711, 9236, 4603, 589, 609, 4603, 645, 267, 855, 2864, 616, 6998, 2436, 1142, 4603, 2982, 20310, 2963, 634, 1826, 540, 5470, 13063, 729, 5176, 14961, 8237, 1063, 521, 6155, 269, 1010, 6085, 568, 1934, 22108, 22108, 1892, 8191, 1344, 1892, 4675, 11915, 1344, 5617, 807, 267, 590, 12171, 1421, 674, 573, 2401, 267, 674, 1421, 13879, 267, 808, 269, 1299, 595, 636, 2719, 267, 717, 780, 3383, 267, 950, 594, 1294, 11708, 1611, 1341, 268, 10323, 538, 513, 4791, 1957, 594, 6415, 2141, 521, 1061, 673, 267, 543, 19890, 267, 594, 6415, 1419, 1318, 1862, 9208, 18438, 18438, 645, 1513, 2755, 519, 3044, 11539, 568, 513, 2268, 540, 13260, 540, 519, 1239, 3294, 630, 6011, 24797, 621, 568, 1472, 922, 4397, 1871, 1070, 3044, 6959, 543, 16275, 3277, 547, 519, 13260, 610, 8856, 3683, 13977, 2600, 540, 17013, 1767, 602, 519, 2953, 2626, 729, 950, 519, 6015, 11996, 1175, 20109, 4534, 1454, 1932, 7453, 513, 3044, 267, 585, 713, 14687, 547, 533, 283, 269, 24879, 267, 610, 1447, 982, 692, 1012, 594, 666, 1405, 1256, 1293, 519, 1948, 2053, 594, 4312, 4941, 547, 3942, 606, 6304, 585, 513, 16968, 29389, 910, 7711, 3333, 342, 340, 834, 5472, 519, 5796, 568, 1283, 27677, 577, 13718, 4913, 267, 972, 568, 1869, 513, 1448, 547, 2015, 281, 10705, 267, 519, 9193, 267, 585, 3236, 519, 1895, 1797, 267, 616, 2965, 711, 540, 1300, 592, 520, 1719, 269, 901, 4341, 1568, 585, 1312, 19610, 543, 10002, 8529, 512, 4255, 269, 5369, 565, 269, 590, 323, 25966, 12054, 543, 521, 4318, 6230, 780, 5472, 13746, 1058, 1246, 713, 2259, 12991, 4925, 4467, 7065, 532, 4690, 281, 7183, 10294, 269, 27066, 272, 269, 8734, 476, 277, 267, 476, 1001, 274, 7338, 918, 11839, 5788, 589, 26376, 3633, 2493, 626, 1731, 1403, 596, 1616, 547, 21656, 519, 2608, 28134, 24682, 596, 1058, 1397, 519, 3044, 11539, 267, 1732, 519, 476, 273, 24670, 3044, 11539, 269, 18438, 13063, 666, 849, 2303, 22556, 540, 3514, 540, 513, 2016, 1599, 267, 1775, 4318, 1421, 875, 1134, 519, 1599, 6257, 519, 1239, 269, 1357, 15062, 1403, 596, 616, 849, 2469, 547, 2099, 519, 1239, 3254, 538, 713, 3113, 538, 513, 3349, 610, 538, 519, 1560, 540, 707, 2978, 1867, 267, 596, 949, 1616, 547, 3277, 547, 519, 692, 763, 3339, 3892, 269, 5221, 538, 476, 1220, 276, 267, 513, 2319, 3366, 676, 8861, 5617, 807, 5342, 513, 1353, 540, 7366, 540, 3173, 945, 1185, 3370, 4930, 538, 1283, 6530, 267, 23798, 267, 543, 2564, 13746, 269, 2290, 1259, 547, 798, 713, 568, 547, 946, 519, 10855, 18802, 267, 1611, 269, 1280, 1346, 540, 721, 945, 1131, 899, 547, 979, 835, 1900, 2417, 543, 1404, 609, 938, 3687, 527, 629, 267, 1223, 594, 9108, 8263, 602, 519, 15465, 3232, 2319, 568, 1930, 547, 2671, 741, 0, 292, 675, 6390, 4569, 10789, 476, 272, 21602, 476, 272, 7689, 476, 1321, 8382, 6206, 692, 8777, 720, 12924, 25876, 6390, 4569, 10789, 476, 272, 21602, 476, 272, 7689, 476, 1321, 8382, 6206, 692, 292, 675, 6390, 4569, 10789, 476, 272, 21602, 476, 272, 7689, 476, 1321, 14956, 2287, 11644, 8382, 6206, 692, 320, 269, 4208, 1058, 519, 4834, 630, 343, 268, 272, 7565, 343, 266, 274, 6661, 1704, 21147, 543, 630, 343, 268, 272, 7565, 343, 266, 274, 6661, 343, 266, 1704, 723, 519, 1482, 3070, 1305, 888, 763, 862, 32477, 3959, 692, 321, 269, 4208, 1058, 519, 4834, 630, 343, 268, 272, 7565, 343, 266, 274, 6661, 1704, 21147, 543, 630, 343, 266, 274, 7565, 343, 268, 272, 6661, 1704, 21147, 723, 519, 1482, 3070, 1305, 888, 763, 862, 32477, 3959, 692, 322, 269, 1684, 596, 1589, 519, 4834, 630, 343, 268, 272, 7565, 343, 266, 274, 6661, 1704, 21147, 543, 630, 343, 268, 272, 7565, 343, 266, 274, 11924, 4335, 284, 276, 1704, 21147, 1058, 723, 519, 1482, 3070, 1305, 286, 4208, 888, 8133, 269, 476, 4335, 729, 3773, 547, 1312, 5011, 780, 323, 269, 1684, 596, 1589, 519, 4834, 630, 343, 268, 272, 7565, 343, 266, 274, 6661, 1704, 21147, 543, 476, 274, 3287, 268, 272, 7565, 343, 266, 274, 6661, 7906, 266, 274, 343, 1058, 723, 519, 1482, 3070, 1305, 286, 11512, 1946, 563, 8133, 269, 5637, 5011, 941, 16611, 676, 476, 274, 780, 292, 675, 6390, 4569, 10789, 476, 272, 21602, 476, 272, 7689, 476, 1321, 11644, 8382, 6206, 692, 19865, 476, 272, 563, 320, 269, 2422, 519, 862, 32477, 3959, 547, 2328, 606, 3830, 602, 814, 519, 1482, 3070, 1305, 607, 454, 343, 273, 268, 274, 343, 266, 275, 14352, 343, 266, 278, 7565, 343, 268, 1321, 7565, 276, 1916, 268, 274, 343, 21147, 273, 266, 275, 14352, 343, 266, 278, 7565, 276, 7565, 343, 268, 1321, 2020, 321, 269, 2422, 519, 1997, 894, 3959, 547, 2328, 606, 3830, 602, 814, 519, 1482, 3070, 1305, 607, 454, 343, 273, 268, 274, 343, 266, 275, 14352, 343, 266, 278, 7565, 343, 268, 1321, 7565, 276, 1916, 3287, 273, 268, 274, 343, 11924, 275, 284, 9230, 343, 266, 278, 7565, 343, 268, 1321, 4297, 263, 276, 2020, 322, 269, 6496, 713, 7744, 4019, 547, 519, 2733, 5737, 3959, 607, 1134, 888, 8133, 267, 621, 1281, 4019, 547, 519, 2733, 5737, 3959, 780, 19865, 476, 273, 563, 13706, 519, 3830, 1535, 273, 266, 272, 284, 278, 14870, 563, 320, 269, 7638, 1518, 602, 713, 814, 519, 3070, 1305, 2715, 268, 274, 267, 273, 20467, 8571, 713, 3070, 1305, 607, 513, 3113, 593, 519, 1297, 1899, 269, 1284, 786, 2663, 1451, 875, 547, 1397, 602, 891, 4755, 547, 581, 519, 10396, 14877, 3435, 547, 713, 3830, 780, 2420, 266, 272, 284, 278, 268, 273, 6936, 269, 11196, 274, 264, 273, 266, 272, 284, 278, 268, 8987, 274, 264, 968, 12148, 14325, 321, 269, 2913, 779, 1039, 476, 275, 547, 1312, 5011, 540, 519, 3830, 543, 2015, 519, 1007, 3830, 1535, 273, 266, 276, 284, 1556, 14870, 269, 7638, 1518, 476, 273, 543, 910, 274, 616, 1869, 3435, 563, 2420, 266, 276, 284, 1556, 268, 273, 6936, 269, 11196, 274, 264, 273, 266, 276, 284, 1556, 268, 8987, 274, 264, 6936, 269, 1358, 616, 1869, 3435, 780, 322, 269, 2913, 779, 1631, 1039, 1535, 547, 1312, 5011, 540, 519, 3830, 543, 2015, 519, 1007, 3830, 1535, 273, 266, 276, 21147, 284, 1556, 269, 3657, 476, 273, 543, 910, 274, 1869, 3435, 888, 2420, 266, 276, 266, 273, 284, 1556, 6936, 269, 11196, 274, 264, 273, 266, 276, 266, 268, 274, 284, 1556, 6936, 269, 476, 273, 543, 910, 274, 616, 1869, 3435, 780, 323, 269, 2913, 779, 1039, 910, 276, 547, 1312, 5011, 540, 519, 3830, 543, 2015, 519, 1007, 3830, 1535, 273, 21147, 284, 277, 269, 3657, 476, 273, 543, 910, 274, 1869, 3435, 888, 2420, 266, 273, 284, 277, 6936, 269, 11196, 274, 264, 273, 266, 268, 274, 284, 277, 6936, 269, 476, 273, 543, 910, 274, 616, 1869, 3435, 780, 324, 269, 2913, 779, 9062, 1312, 5011, 676, 6695, 2765, 346, 272, 2410, 277, 6525, 547, 1205, 6695, 2765, 12757, 3867, 273, 15396, 343, 2410, 277, 6525, 284, 272, 269, 3657, 476, 273, 543, 910, 274, 1869, 3435, 888, 11377, 2765, 346, 273, 3867, 273, 15396, 273, 2410, 277, 6525, 284, 272, 6936, 269, 6695, 2765, 346, 8987, 274, 22722, 273, 15396, 8987, 274, 20972, 277, 6525, 284, 272, 6936, 269, 476, 273, 543, 910, 274, 616, 1869, 3435, 780, 325, 269, 2913, 779, 979, 1394, 547, 851, 630, 323, 264, 543, 1039, 476, 274, 343, 274, 547, 1312, 5011, 540, 519, 3830, 543, 2015, 519, 1007, 3830, 454, 343, 273, 21147, 266, 274, 343, 274, 284, 277, 266, 274, 343, 274, 269, 3657, 476, 273, 543, 910, 274, 1869, 3435, 888, 2420, 266, 273, 266, 274, 263, 273, 264, 274, 284, 277, 266, 274, 263, 273, 264, 274, 454, 275, 266, 273, 266, 2190, 284, 277, 266, 2190, 454, 8987, 274, 264, 273, 266, 268, 274, 266, 274, 8987, 274, 264, 274, 284, 277, 266, 274, 8987, 274, 264, 274, 454, 12148, 563, 280, 268, 274, 268, 10037, 284, 277, 268, 10037, 454, 12148, 563, 273, 543, 910, 274, 616, 1869, 3435, 780, 19865, 476, 274, 563, 24169, 585, 678, 281, 6695, 2765, 346, 274, 2410, 273, 337, 6525, 284, 11377, 2765, 346, 272, 2410, 275, 28021, 337, 284, 277, 692, 321, 269, 16534, 585, 521, 281, 521, 273, 266, 276, 284, 1789, 454, 338, 284, 276, 267, 521, 15871, 276, 692, 322, 269, 16534, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 4370, 23042, 815, 3403, 2891, 292, 710, 661, 532, 23042, 3787, 974, 281, 19515, 2745, 2891, 292, 16636, 613, 17754, 530, 584, 1372, 281, 834, 1341, 552, 532, 23042, 994, 2745, 2891, 32056, 11978, 568, 339, 281, 834, 1341, 1193, 263, 6943, 263, 4370, 23042, 21875, 10235, 16818, 529, 815, 476, 5325, 272, 272, 1341, 703, 263, 4370, 23042, 994, 2745, 2891, 11293, 613, 16818, 529, 568, 339, 281, 834, 1341, 1193, 263, 10235, 16818, 529, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 18851, 1607, 7097, 12987, 513, 3593, 547, 4283, 513, 32197, 267, 14509, 3758, 267, 1205, 476, 273, 526, 32197, 543, 11339, 621, 1394, 20701, 514, 18316, 815, 3403, 2891, 23742, 17575, 547, 1224, 281, 15419, 339, 787, 281, 3097, 1038, 609, 1930, 263, 514, 18316, 267, 834, 337, 8442, 607, 535, 912, 2018, 3758, 318, 20880, 815, 535, 18667, 4590, 21955, 11711, 8253, 28062, 13286, 281, 3097, 825, 1820, 6600, 257, 13286, 281, 11711, 1412, 346, 514, 18316, 348, 262, 711, 1336, 5602, 825, 14827, 263, 272, 994, 21955, 281, 3097, 825, 1820, 630, 325, 257, 13286, 281, 11711, 1412, 346, 514, 18316, 348, 262, 1930, 2489, 5470, 5602, 825, 14827, 263, 273, 9239, 719, 18316, 815, 3403, 2891, 23742, 17575, 547, 2328, 281, 15419, 339, 787, 281, 3097, 825, 1820, 6600, 257, 8586, 3758, 1412, 346, 719, 18316, 348, 262, 5602, 825, 609, 1930, 263, 719, 18316, 267, 834, 342, 8442, 607, 535, 912, 1038, 535, 22182, 31526, 318, 20880, 994, 21955, 281, 3097, 825, 1820, 630, 325, 257, 13286, 281, 11711, 1412, 346, 719, 18316, 348, 262, 1223, 711, 581, 2854, 5602, 825, 14827, 263, 273, 9239, 672, 0, 692, 3698, 2603, 1729, 20465, 10778, 825, 694, 336, 815, 29129, 825, 1247, 7003, 263, 572, 336, 264, 2999, 476, 277, 10778, 1038, 2119, 912, 2018, 1003, 815, 703, 9272, 2891, 11767, 1297, 5225, 281, 27328, 2018, 952, 1003, 711, 538, 2039, 630, 272, 267, 476, 5392, 264, 10778, 3546, 1820, 9497, 19368, 1590, 581, 1063, 476, 272, 543, 476, 5392, 5602, 2018, 3116, 2433, 8931, 3546, 952, 1003, 538, 694, 336, 10778, 7386, 1820, 9497, 291, 340, 12393, 1871, 5602, 3546, 3116, 10778, 7386, 694, 336, 6910, 16325, 994, 1038, 4849, 1401, 4003, 607, 552, 912, 2018, 1820, 9497, 310, 3994, 3403, 267, 4735, 622, 5225, 5602, 825, 694, 336, 31699, 4590, 825, 2132, 694, 336, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2855, 815, 2603, 1729, 630, 994, 825, 1820, 630, 6943, 19906, 4917, 825, 1820, 9497, 14818, 14307, 2608, 1551, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 269, 277, 692, 5814, 15259, 454, 5814, 19523, 692, 338, 21683, 18316, 815, 3403, 2891, 11767, 2707, 3758, 281, 19515, 323, 560, 18316, 815, 3403, 2891, 11767, 3077, 3758, 281, 834, 2020, 339, 787, 912, 825, 609, 1930, 4433, 21683, 18316, 267, 834, 337, 8442, 607, 521, 21683, 912, 1038, 1239, 815, 521, 21683, 18667, 630, 11850, 1038, 1820, 630, 1598, 12759, 16597, 4297, 1341, 834, 25466, 1224, 689, 834, 1341, 521, 21683, 18316, 994, 1038, 609, 1930, 5560, 560, 18316, 267, 834, 342, 8442, 607, 546, 560, 912, 2018, 546, 560, 22182, 16597, 11850, 2018, 1820, 9497, 339, 13759, 3758, 834, 1341, 546, 560, 18316, 1341, 834, 2854, 15528, 5602, 21955, 1401, 4003, 607, 552, 912, 825, 1820, 9497, 308, 10811, 4624, 5470, 24333, 552, 994, 825, 6318, 454, 325, 3373, 912, 825, 1820, 9497, 19226, 7534, 15419, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 4370, 23042, 815, 3403, 2891, 294, 756, 729, 32489, 281, 5602, 2745, 2891, 292, 16636, 2041, 17754, 530, 584, 1372, 281, 834, 266, 552, 532, 23042, 994, 2745, 2891, 32056, 11978, 568, 339, 281, 834, 1341, 1193, 263, 6943, 263, 4370, 23042, 21875, 10235, 16818, 529, 815, 476, 5325, 272, 272, 1341, 703, 263, 4370, 23042, 994, 2745, 2891, 11293, 613, 321, 529, 568, 339, 281, 834, 1341, 1193, 263, 10235, 16818, 529, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 7531, 339, 2089, 815, 314, 2639, 322, 3300, 815, 476, 272, 454, 1721, 476, 4831, 10922, 476, 277, 912, 339, 787, 912, 825, 1990, 22844, 815, 3403, 2891, 30531, 974, 2098, 22844, 552, 16636, 17754, 281, 5602, 825, 952, 1990, 22844, 18994, 333, 10179, 545, 912, 1038, 562, 815, 476, 271, 454, 1038, 4063, 815, 6936, 454, 1038, 585, 562, 538, 512, 2089, 19559, 316, 10922, 7003, 6025, 2089, 2187, 2018, 952, 1990, 22844, 2652, 512, 2089, 19559, 14158, 2018, 4063, 815, 8771, 454, 25639, 952, 4063, 912, 2018, 512, 2089, 815, 512, 2089, 6910, 314, 345, 22844, 6540, 21955, 912, 1038, 1820, 9497, 651, 710, 2098, 22844, 5602, 8528, 476, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 4370, 23042, 815, 3403, 2891, 292, 710, 661, 532, 23042, 3787, 974, 281, 19515, 2745, 2891, 292, 532, 1122, 17754, 530, 584, 1372, 281, 834, 1341, 552, 532, 23042, 2020, 258, 661, 532, 23042, 7392, 513, 639, 613, 17754, 912, 2745, 2891, 32056, 11978, 568, 339, 281, 834, 1341, 1193, 263, 6943, 263, 4370, 23042, 4297, 2020, 258, 645, 699, 1013, 2426, 912, 10235, 16818, 529, 815, 476, 5325, 272, 272, 1341, 703, 263, 4370, 23042, 994, 2745, 2891, 11293, 613, 16818, 529, 568, 339, 281, 834, 1341, 1193, 263, 10235, 16818, 529, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 4370, 23042, 815, 3403, 2891, 324, 710, 661, 532, 23042, 3787, 974, 281, 19515, 2745, 2891, 292, 16636, 613, 17754, 530, 584, 1372, 2433, 257, 1341, 552, 532, 23042, 994, 2745, 2891, 1457, 7392, 568, 339, 281, 257, 1341, 1193, 263, 6943, 263, 4370, 23042, 21875, 2745, 6600, 257, 1457, 7392, 568, 339, 281, 2715, 6943, 263, 4370, 23042, 14587, 5602, 10235, 16818, 529, 815, 476, 736, 1341, 703, 263, 4370, 23042, 994, 2745, 2891, 11293, 613, 16818, 529, 568, 339, 1701, 1341, 1193, 263, 10235, 16818, 529, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 31653, 273, 14456, 568, 513, 2241, 8837, 717, 21397, 813, 547, 5352, 12166, 454, 11907, 3349, 630, 1723, 24002, 610, 1377, 2914, 5954, 264, 676, 16439, 5546, 454, 5891, 539, 593, 519, 5496, 780, 1607, 9074, 3568, 519, 717, 21397, 813, 630, 22372, 593, 28184, 5793, 6393, 10461, 281, 7665, 830, 700, 1172, 564, 454, 20701, 1029, 11437, 1029, 815, 834, 271, 269, 274, 269, 271, 5016, 5814, 1357, 321, 4900, 518, 454, 5814, 28184, 5793, 607, 28184, 454, 5814, 8848, 335, 32242, 454, 5814, 2619, 12221, 454, 5814, 19523, 692, 258, 11154, 539, 689, 4179, 2517, 335, 2106, 1584, 18667, 339, 1117, 665, 338, 269, 1470, 19841, 15828, 520, 652, 8276, 1787, 11258, 258, 3000, 13501, 7308, 2173, 1787, 476, 1948, 1100, 32142, 454, 5814, 533, 2106, 1584, 454, 258, 6423, 4179, 2517, 3901, 15003, 3820, 14121, 583, 3645, 338, 270, 842, 1238, 2563, 270, 639, 720, 11258, 454, 5228, 21267, 269, 3724, 1742, 269, 3724, 754, 4671, 330, 12000, 1104, 7612, 4692, 11663, 307, 330, 288, 1375, 454, 5228, 21267, 8807, 2682, 1104, 7612, 692, 5228, 5496, 273, 14456, 1104, 948, 619, 7531, 258, 9024, 23158, 2763, 930, 1239, 689, 519, 8848, 338, 269, 7236, 3758, 563, 20813, 12127, 815, 8848, 335, 32242, 269, 3519, 14808, 303, 32242, 10797, 339, 787, 912, 825, 1948, 4534, 821, 12803, 4781, 609, 12877, 13318, 718, 518, 543, 454, 825, 1948, 4534, 5417, 1673, 1092, 834, 31653, 273, 14456, 270, 20813, 12127, 6983, 325, 326, 282, 31653, 273, 14456, 4840, 825, 8848, 18316, 815, 2619, 12221, 10422, 987, 4433, 903, 11519, 10933, 7709, 19798, 264, 1315, 834, 31653, 273, 14456, 257, 1315, 834, 20813, 12127, 6983, 325, 326, 4840, 21955, 5900, 25572, 13286, 912, 825, 8848, 18316, 815, 2619, 12221, 10422, 987, 263, 1029, 12803, 1029, 1040, 8001, 1315, 834, 20813, 12127, 6983, 325, 326, 5016, 20813, 12127, 18667, 263, 935, 14808, 18316, 994, 12195, 5588, 318, 293, 2177, 4811, 22003, 292, 815, 8848, 338, 10947, 842, 2891, 291, 3041, 303, 6369, 312, 2580, 834, 12195, 5588, 318, 293, 2177, 4811, 22003, 292, 5602, 291, 5456, 3951, 306, 32707, 3041, 303, 6369, 312, 3633, 318, 306, 9331, 300, 14473, 815, 8848, 338, 10947, 842, 18692, 825, 834, 291, 3041, 303, 6369, 312, 2580, 834, 291, 5456, 3951, 306, 32707, 3041, 303, 6369, 312, 3633, 318, 306, 9331, 300, 14473, 4840, 994, 3918, 290, 16704, 29758, 7473, 307, 2177, 815, 8848, 338, 14277, 25321, 307, 4629, 299, 257, 6012, 257, 3918, 290, 16704, 29758, 7473, 307, 2177, 31116, 4306, 8008, 29758, 7473, 307, 2177, 815, 8848, 338, 14277, 25321, 307, 4629, 299, 257, 6012, 257, 4306, 8008, 29758, 7473, 307, 2177, 31116, 291, 5456, 3951, 306, 318, 12710, 7709, 19447, 19181, 815, 8848, 338, 10947, 842, 2891, 5495, 9143, 7473, 2580, 834, 291, 5456, 3951, 306, 318, 12710, 7709, 19447, 19181, 257, 9239, 258, 27837, 689, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 27183, 25002, 6858, 270, 680, 5217, 268, 7120, 6823, 2389, 330, 5793, 31720, 2914, 785, 578, 2987, 1790, 3155, 476, 1948, 1100, 32142, 454, 5035, 2561, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 4487, 2187, 1038, 1582, 6230, 2120, 815, 4487, 454, 1038, 1582, 6230, 2120, 26644, 2891, 31653, 273, 14456, 834, 1341, 6449, 11437, 1029, 994, 1038, 1948, 3245, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 31696, 276, 2767, 271, 270, 1478, 337, 4575, 2389, 330, 5793, 14870, 1532, 583, 2023, 20820, 7308, 1532, 583, 2023, 6253, 520, 12641, 846, 7308, 2914, 785, 578, 476, 1948, 1100, 32142, 454, 1038, 1582, 6230, 2120, 269, 2889, 339, 4377, 2891, 310, 300, 318, 14701, 4041, 15288, 318, 310, 18853, 8582, 2580, 1582, 30419, 10181, 994, 1038, 1948, 13242, 547, 1832, 519, 6885, 2141, 593, 1283, 267, 3730, 950, 14467, 454, 1038, 1948, 6423, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 6245, 22001, 280, 270, 6011, 3562, 2173, 820, 8584, 2389, 330, 5793, 2914, 785, 578, 18191, 2794, 3562, 7308, 1922, 3224, 476, 1948, 1100, 32142, 454, 1038, 1582, 6230, 2120, 269, 3430, 1026, 2373, 2891, 268, 9008, 2865, 2580, 6936, 994, 1038, 1948, 6435, 602, 28570, 338, 547, 27707, 29878, 454, 1038, 575, 603, 889, 318, 14766, 815, 834, 10059, 2517, 326, 603, 889, 2593, 8276, 1314, 574, 2741, 4882, 10547, 273, 14456, 4840, 1038, 1582, 269, 15276, 9078, 8475, 815, 28184, 11482, 8475, 18692, 2018, 1582, 6230, 2120, 2676, 2018, 1257, 284, 326, 603, 889, 318, 14766, 2676, 2018, 535, 326, 6889, 19990, 2580, 23684, 6889, 8518, 273, 5602, 1038, 1582, 269, 15276, 9078, 8475, 12500, 785, 18692, 2018, 834, 283, 3719, 2023, 268, 272, 285, 20350, 2018, 25754, 552, 281, 1357, 321, 4900, 518, 269, 13449, 318, 2908, 14116, 603, 889, 318, 14766, 4917, 1038, 1948, 29895, 7735, 585, 519, 3593, 547, 1376, 16439, 676, 2451, 12641, 10107, 563, 1038, 1582, 6745, 15869, 318, 31728, 815, 28184, 269, 3719, 2023, 4311, 6230, 2120, 267, 1257, 6889, 9199, 576, 5602, 1038, 1582, 6745, 15869, 318, 31728, 12500, 785, 18692, 2018, 834, 283, 3719, 2023, 18208, 285, 20350, 2018, 25754, 552, 281, 1582, 19544, 728, 318, 30720, 4590, 1038, 12467, 1038, 1582, 6745, 15869, 318, 31728, 12500, 785, 18692, 2018, 834, 283, 3719, 2023, 3725, 3161, 285, 20350, 2018, 25754, 552, 281, 1582, 6745, 15869, 4590, 1038, 25589, 1038, 1948, 5565, 2010, 540, 3337, 9268, 281, 7583, 3200, 630, 743, 2216, 6879, 1901, 994, 1038, 1948, 543, 3444, 16687, 630, 13449, 6879, 1901, 1916, 1038, 1582, 6230, 1712, 815, 28184, 269, 4504, 309, 541, 4590, 1038, 1582, 269, 1529, 3200, 318, 2784, 328, 984, 815, 28184, 10611, 14508, 984, 583, 2023, 18692, 2018, 1582, 6230, 2120, 2676, 2018, 1257, 8782, 290, 592, 3200, 22779, 2018, 4756, 284, 1345, 6230, 1712, 2676, 2018, 1871, 284, 271, 454, 1038, 12467, 1038, 1582, 11859, 338, 318, 2784, 328, 984, 815, 28184, 10611, 14508, 984, 583, 2023, 18692, 2018, 1582, 6230, 2120, 2676, 2018, 1257, 8782, 15899, 16687, 22779, 2018, 4756, 284, 1345, 6230, 1712, 2676, 2018, 1871, 284, 272, 454, 1038, 25589, 1038, 1948, 9255, 519, 11097, 12033, 563, 1038, 1582, 269, 15276, 9078, 8475, 26942, 21405, 284, 271, 267, 6241, 284, 271, 267, 9587, 3966, 284, 274, 994, 1038, 1582, 6745, 15869, 318, 31728, 26942, 21405, 284, 272, 267, 6241, 284, 271, 267, 20202, 6889, 342, 5602, 1038, 1582, 269, 1529, 3200, 318, 2784, 328, 984, 26942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8245, 680, 4328, 519, 1657, 267, 649, 1205, 281, 3230, 325, 18155, 763, 3279, 347, 311, 32710, 9064, 347, 343, 264, 1422, 2889, 696, 334, 1422, 9064, 17353, 10401, 10954, 8999, 1535, 10983, 268, 272, 348, 324, 13064, 263, 333, 10954, 15883, 9385, 9064, 28021, 3086, 267, 1018, 2186, 540, 3892, 814, 1269, 325, 3287, 264, 815, 524, 1422, 10383, 1535, 3867, 320, 348, 552, 13064, 321, 343, 4151, 585, 930, 3586, 1269, 322, 259, 286, 630, 295, 842, 281, 621, 781, 711, 29530, 267, 607, 596, 6700, 4700, 4495, 596, 917, 602, 267, 596, 666, 3362, 4137, 856, 1018, 1269, 322, 259, 1058, 581, 538, 713, 2013, 4534, 855, 2731, 267, 945, 30128, 1018, 519, 3339, 1944, 3586, 568, 267, 2094, 596, 786, 2907, 917, 519, 3169, 3892, 630, 10175, 6724, 264, 540, 4399, 763, 3279, 347, 311, 10608, 1656, 2899, 596, 723, 519, 3892, 267, 621, 786, 581, 24735, 547, 9156, 519, 17911, 1611, 563, 1892, 8729, 585, 707, 2626, 256, 1717, 267, 594, 666, 1405, 1265, 270, 5408, 1018, 3892, 1269, 325, 3287, 264, 815, 524, 24206, 1535, 317, 320, 552, 13064, 321, 4151, 256, 16393, 596, 2995, 803, 799, 835, 621, 568, 286, 1290, 7757, 5463, 476, 1789, 267, 476, 1001, 278, 693, 476, 1015, 281, 3066, 0, 1012, 634, 6520, 540, 8422, 667, 18805, 692, 296, 729, 9683, 513, 3659, 835, 10543, 543, 15422, 602, 646, 1185, 1614, 20766, 269, 594, 4280, 1864, 875, 2025, 789, 941, 269, 968, 763, 1587, 540, 741, 6502, 568, 476, 7761, 2223, 646, 12943, 269, 2372, 11170, 1227, 267, 594, 4280, 267, 968, 3674, 972, 4376, 3116, 596, 666, 2995, 803, 9495, 968, 8133, 2223, 646, 14452, 267, 968, 1492, 2040, 540, 741, 6502, 568, 3160, 547, 519, 1297, 540, 1250, 2777, 1848, 594, 22283, 3544, 547, 1294, 1018, 519, 2777, 1297, 729, 269, 16270, 13059, 3330, 267, 594, 1767, 547, 1250, 3984, 267, 968, 296, 6557, 20994, 267, 855, 594, 1869, 666, 1406, 4137, 856, 741, 6502, 1848, 1261, 15527, 23294, 13443, 267, 968, 296, 6557, 20994, 267, 594, 29709, 547, 2446, 602, 1250, 9510, 8250, 15055, 12450, 9440, 2110, 322, 820, 1848, 2060, 713, 1344, 267, 594, 729, 2111, 547, 3313, 782, 1614, 540, 741, 6502, 269, 1215, 2025, 568, 1142, 8250, 2496, 274, 267, 476, 274, 267, 543, 476, 279, 269, 634, 1152, 2516, 540, 476, 274, 2188, 540, 476, 7761, 547, 723, 1875, 10595, 1664, 18304, 616, 968, 273, 476, 277, 476, 277, 892, 543, 968, 274, 476, 274, 476, 279, 892, 630, 5976, 513, 2040, 540, 476, 1691, 1040, 634, 1964, 723, 2189, 18304, 1384, 273, 1341, 476, 273, 1341, 476, 1240, 815, 476, 2420, 454, 273, 1341, 476, 274, 1341, 476, 1321, 815, 476, 1240, 454, 273, 1341, 476, 275, 1341, 476, 280, 815, 476, 1428, 454, 274, 1341, 476, 275, 1341, 476, 277, 815, 476, 1724, 692, 763, 2777, 1297, 4805, 1131, 723, 4857, 1022, 540, 891, 2516, 269, 4595, 811, 1344, 729, 2838, 267, 649, 917, 519, 2040, 2451, 519, 2626, 7164, 269, 634, 4527, 540, 513, 2582, 9510, 1126, 23352, 968, 273, 476, 277, 476, 277, 5608, 6028, 968, 274, 476, 274, 476, 279, 892, 607, 519, 1152, 2009, 2626, 780, 16829, 538, 11020, 1855, 553, 619, 692, 276, 22227, 593, 834, 763, 6520, 540, 8422, 667, 18805, 5016, 19688, 476, 1704, 267, 476, 1001, 277, 7711, 476, 6860, 281, 3374, 692, 14188, 596, 692, 17556, 557, 3081, 454, 19688, 476, 2420, 267, 476, 1001, 277, 7711, 476, 1321, 281, 2537, 692, 763, 6520, 540, 8422, 667, 18805, 1384, 2791, 14406, 476, 272, 1535, 476, 279, 1535, 476, 280, 815, 476, 7761, 543, 476, 272, 1341, 476, 279, 1341, 476, 280, 815, 476, 1240, 865, 972, 568, 1776, 1895, 540, 1875, 10595, 1664, 18304, 281, 476, 273, 267, 476, 274, 267, 476, 1321, 543, 476, 272, 267, 476, 279, 267, 476, 280, 543, 1312, 540, 891, 2516, 723, 513, 2582, 4102, 1297, 780, 299, 3570, 3081, 454, 19688, 476, 1789, 267, 476, 1001, 277, 7711, 476, 736, 281, 1556, 692, 273, 266, 274, 266, 1321, 284, 1704, 711, 476, 1240, 865, 972, 568, 1152, 476, 272, 1895, 540, 1875, 10595, 1664, 2338, 563, 288, 2471, 281, 5681, 540, 6502, 912, 272, 476, 272, 476, 7761, 476, 10619, 454, 272, 476, 273, 476, 3607, 476, 4375, 454, 272, 476, 274, 476, 2190, 476, 2764, 454, 272, 476, 275, 476, 1240, 476, 2537, 454, 272, 476, 277, 476, 1321, 476, 866, 454, 272, 476, 279, 476, 280, 476, 1240, 454, 273, 476, 273, 476, 1240, 476, 2420, 454, 273, 476, 274, 476, 1321, 476, 1704, 454, 273, 476, 275, 476, 280, 476, 1428, 454, 273, 476, 277, 476, 277, 476, 1691, 2878, 454, 274, 476, 274, 476, 279, 476, 1691, 2878, 454, 274, 476, 275, 476, 277, 476, 1724, 692, 313, 778, 776, 3081, 454, 20809, 476, 275, 267, 476, 1001, 279, 7711, 476, 2641, 281, 4962, 692, 1320, 9722, 540, 713, 1483, 12264, 267, 1256, 952, 972, 941, 513, 1305, 540, 21054, 519, 1482, 2085, 267, 835, 568, 1869, 4587, 269, 4935, 267, 519, 7778, 3085, 5889, 23717, 339, 3514, 780, 28846, 3081, 454, 20606, 476, 276, 267, 476, 1708, 274, 7711, 476, 876, 281, 1691, 692, 2108, 2026, 17784, 1206, 1406, 30750, 616, 782, 519, 1482, 2085, 540, 476, 2190, 1175, 519, 3017, 538, 12557, 693, 4332, 568, 1250, 3069, 14720, 4085, 476, 274, 9943, 2190, 11224, 630, 7761, 264, 0, 1012, 13638, 267, 2904, 476, 2918, 267, 476, 1001, 276, 692, 2162, 6833, 337, 881, 13638, 692, 2691, 649, 8120, 547, 1362, 649, 3459, 938, 2979, 32186, 780, 7628, 519, 1507, 1895, 267, 4116, 21445, 267, 6044, 649, 3459, 18570, 1585, 9076, 559, 831, 1023, 1210, 513, 18570, 6516, 269, 476, 1109, 1607, 5280, 721, 547, 14650, 10486, 543, 3604, 1851, 519, 1585, 2010, 540, 5515, 780, 7628, 2979, 609, 513, 7649, 267, 519, 1053, 20083, 8847, 543, 5961, 540, 9076, 559, 831, 1023, 609, 741, 4408, 269, 476, 1109, 8170, 1576, 267, 2979, 11407, 729, 4397, 780, 7661, 267, 1282, 519, 2029, 10047, 267, 519, 1053, 9763, 267, 543, 3576, 4967, 538, 741, 2979, 13746, 267, 4245, 827, 10503, 543, 18570, 9076, 559, 831, 1023, 2687, 547, 741, 10305, 780, 2690, 670, 6865, 11246, 3036, 298, 972, 568, 606, 7084, 11540, 547, 5616, 15858, 267, 6780, 2985, 269, 476, 1109, 307, 517, 697, 519, 1053, 786, 946, 519, 11540, 3095, 547, 2259, 20803, 9076, 559, 831, 1023, 269, 476, 1109, 2467, 568, 513, 1603, 6780, 4760, 7127, 1813, 11016, 543, 649, 786, 723, 513, 2979, 7688, 593, 11016, 780, 5475, 2979, 649, 29860, 1318, 883, 938, 7924, 3625, 780, 9213, 1282, 4830, 960, 519, 1053, 3459, 609, 513, 11461, 2542, 4305, 269, 476, 1109, 10190, 789, 13736, 741, 2262, 960, 1913, 676, 3257, 513, 27612, 4990, 630, 307, 22061, 543, 23202, 1667, 264, 610, 12315, 2725, 513, 1849, 826, 609, 476, 1015, 811, 1913, 630, 548, 641, 1841, 543, 21495, 1040, 476, 1109, 5475, 602, 267, 519, 1453, 1185, 835, 2063, 4960, 547, 2070, 519, 661, 935, 543, 2725, 3992, 827, 2504, 543, 547, 2491, 1018, 513, 16073, 568, 267, 2012, 519, 476, 274, 2010, 540, 2067, 2200, 543, 1683, 606, 1383, 540, 1142, 267, 543, 4766, 606, 2804, 1966, 519, 1453, 5185, 538, 519, 3381, 269, 476, 1109, 12234, 267, 789, 1185, 835, 2063, 476, 1109, 577, 766, 547, 2347, 513, 6516, 476, 1109, 1993, 519, 1272, 4783, 540, 2901, 513, 11356, 610, 606, 11956, 666, 269, 476, 1109, 7661, 267, 789, 941, 4397, 547, 2070, 606, 1383, 540, 513, 18120, 1729, 517, 6881, 267, 2813, 676, 513, 3791, 3446, 4116, 267, 585, 519, 3390, 14374, 1788, 543, 1287, 556, 1922, 13399, 1125, 2933, 609, 519, 813, 780, 303, 656, 1667, 281, 476, 1109, 263, 594, 729, 693, 513, 5870, 585, 713, 1895, 1152, 4700, 476, 1109, 763, 1053, 3893, 513, 12744, 540, 741, 1007, 1433, 267, 513, 3209, 267, 1572, 2605, 26295, 269, 476, 1109, 10190, 789, 1224, 543, 5941, 3184, 476, 272, 269, 476, 1109, 2690, 670, 6865, 11246, 3036, 298, 789, 991, 547, 556, 1348, 3184, 476, 272, 780, 16729, 12899, 740, 9205, 12424, 519, 1053, 4797, 2324, 10446, 1247, 594, 1558, 609, 811, 2516, 780, 307, 22061, 281, 476, 1109, 5715, 2570, 1836, 267, 519, 1453, 556, 1348, 741, 1433, 543, 12649, 6810, 540, 1257, 789, 6825, 607, 14845, 610, 9670, 269, 476, 1109, 1103, 1895, 649, 12649, 741, 24795, 543, 5941, 519, 5048, 540, 519, 1650, 269, 7053, 267, 649, 1427, 1245, 519, 1650, 269, 476, 1109, 2690, 670, 6865, 11246, 3036, 298, 519, 1453, 991, 547, 556, 1348, 519, 1650, 267, 2324, 593, 21711, 780, 8867, 641, 1841, 281, 1473, 2570, 1836, 519, 1453, 10272, 513, 1357, 3135, 540, 519, 2278, 540, 741, 1007, 1433, 267, 513, 3209, 267, 5808, 853, 1961, 519, 654, 19123, 540, 23520, 269, 476, 1109, 5445, 4857, 835, 1249, 789, 4121, 543, 513, 2243, 789, 1185, 269, 476, 1109, 1103, 1895, 649, 3838, 741, 5013, 543, 2055, 543, 1287, 594, 5795, 513, 5618, 1433, 4367, 269, 476, 1109, 10190, 519, 1453, 1224, 3184, 476, 272, 543, 6825, 4025, 789, 2219, 941, 9670, 610, 14845, 543, 7396, 7164, 1913, 269, 476, 1109, 7661, 267, 649, 3838, 519, 5493, 806, 519, 1053, 6825, 543, 5941, 3184, 476, 272, 269, 476, 1109, 2690, 670, 6865, 11246, 3036, 298, 519, 1053, 991, 547, 1224, 3184, 476, 273, 543, 1665, 4025, 519, 1265, 16168, 267, 9670, 267, 610, 14845, 780, 299, 687, 281, 476, 1109, 5715, 2570, 1836, 519, 1053, 10272, 645, 1115, 344, 1635, 1513, 262, 1357, 3135, 547, 2744, 930, 4282, 1702, 827, 519, 2278, 543, 519, 1985, 1433, 649, 786, 581, 2542, 267, 634, 18237, 27750, 269, 476, 1109, 1103, 1895, 649, 3838, 519, 1187, 5013, 543, 2055, 789, 941, 11842, 607, 789, 9763, 519, 1357, 3135, 269, 476, 1109, 10190, 594, 5795, 513, 5618, 1433, 4367, 269, 476, 1109, 5475, 602, 519, 1053, 1224, 3184, 476, 272, 543, 6825, 4025, 789, 1336, 16168, 267, 9670, 267, 610, 14845, 269, 476, 1109, 7661, 267, 649, 5941, 741, 24795, 267, 543, 519, 3184, 538, 2489, 269, 476, 1109, 2690, 670, 6865, 11246, 3036, 298, 519, 1053, 991, 547, 1224, 3184, 476, 273, 543, 1665, 4025, 602, 616, 16168, 267, 9670, 267, 610, 14845, 780, 293, 261, 303, 281, 476, 1109, 763, 1453, 556, 1348, 519, 1433, 267, 18637, 324, 543, 519, 1715, 11819, 269, 476, 1109, 2171, 5941, 519, 7099, 540, 519, 1650, 607, 25064, 543, 22488, 543, 519, 10678, 1141, 18637, 324, 18387, 1405, 4957, 13134, 267, 646, 568, 4058, 1010, 1985, 8945, 269, 476, 1109, 10190, 649, 6192, 513, 27774, 1603, 17640, 547, 519, 5048, 538, 519, 1650, 780, 763, 1053, 8694, 741, 1554, 609, 513, 3643, 689, 15516, 269, 590, 5500, 1457, 269, 476, 1109, 5445, 4857, 930, 11678, 789, 4898, 827, 593, 513, 22087, 2280, 3774, 269, 476, 1109, 10190, 789, 5129, 513, 3014, 1141, 789, 4857, 6009, 602, 3514, 1978, 4162, 269, 0, 1012, 6657, 9046, 5590, 476, 276, 1107, 536, 21725, 3339, 1109, 23251, 9084, 692, 1607, 2022, 2488, 2259, 2042, 547, 12927, 519, 1523, 540, 536, 21725, 3339, 3892, 5941, 538, 1079, 9708, 1107, 835, 568, 513, 2143, 4367, 547, 536, 21725, 3339, 3892, 543, 519, 824, 568, 513, 2417, 4901, 602, 6770, 856, 811, 6310, 3601, 540, 519, 536, 21725, 3339, 3892, 269, 634, 3601, 5941, 538, 891, 1079, 9708, 1106, 519, 4493, 585, 519, 9819, 3297, 519, 2259, 2042, 4843, 1934, 780, 763, 2259, 2042, 4843, 1934, 616, 6140, 593, 12719, 17831, 269, 634, 3339, 17831, 666, 581, 5833, 1210, 513, 3339, 3349, 610, 513, 9498, 602, 814, 513, 1599, 585, 3339, 3892, 630, 7945, 607, 30263, 10019, 266, 1040, 634, 4267, 585, 3339, 17831, 2016, 693, 519, 1439, 540, 519, 2022, 723, 1079, 8747, 1107, 835, 1210, 513, 3339, 3349, 630, 11398, 1934, 264, 543, 519, 824, 835, 1210, 30263, 10019, 266, 780, 780, 6657, 9046, 476, 276, 5025, 14597, 602, 1269, 311, 259, 543, 1269, 312, 259, 1246, 513, 536, 21725, 3339, 3892, 609, 6724, 4399, 14153, 318, 311, 284, 1428, 8961, 4399, 18406, 318, 311, 284, 275, 8961, 4399, 14153, 318, 312, 284, 736, 8961, 4399, 18406, 318, 312, 284, 276, 259, 543, 4399, 24838, 15871, 271, 269, 278, 10608, 14419, 519, 1739, 269, 30770, 519, 5506, 1269, 303, 314, 1321, 1280, 1269, 311, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2504, 568, 1869, 538, 922, 26638, 543, 811, 12074, 610, 16864, 12946, 6886, 616, 2693, 547, 581, 4362, 269, 1280, 3236, 267, 538, 476, 1220, 277, 795, 611, 541, 924, 267, 513, 1007, 16864, 12946, 7777, 267, 729, 4362, 538, 28993, 267, 543, 519, 16005, 3568, 513, 2147, 2179, 540, 9156, 762, 16864, 2200, 607, 519, 5682, 321, 16640, 16005, 269, 11086, 972, 568, 1100, 7525, 3390, 609, 519, 3761, 540, 16864, 543, 8754, 621, 568, 711, 1271, 547, 3313, 519, 5730, 16864, 772, 305, 305, 563, 299, 603, 1756, 568, 513, 2565, 5057, 540, 16864, 6007, 3167, 6472, 269, 634, 2179, 540, 6038, 9156, 762, 2200, 540, 16864, 1759, 593, 4867, 2139, 1344, 814, 1044, 8947, 543, 1336, 547, 9114, 1063, 476, 866, 269, 274, 543, 476, 4649, 269, 271, 24398, 9149, 543, 267, 609, 513, 1655, 7058, 540, 476, 2537, 269, 277, 24398, 9149, 1759, 593, 4867, 1634, 12074, 269, 634, 1804, 1490, 710, 16005, 693, 772, 344, 27376, 543, 519, 5682, 321, 16640, 4224, 16005, 941, 8947, 538, 1469, 269, 634, 2689, 540, 16864, 8244, 6920, 602, 972, 568, 6190, 16864, 547, 2327, 1713, 16864, 6007, 3167, 6472, 538, 519, 2104, 269, 898, 568, 1586, 14129, 602, 713, 1281, 711, 17538, 602, 16864, 6007, 6472, 786, 581, 1031, 3648, 538, 519, 2104, 267, 8806, 602, 972, 568, 6190, 16864, 2139, 538, 1931, 585, 713, 547, 2049, 269, 1403, 16864, 6007, 6472, 786, 20441, 538, 519, 2104, 1287, 621, 568, 1271, 602, 3609, 15670, 2327, 602, 16864, 9075, 616, 13381, 267, 607, 13381, 16864, 4564, 513, 1713, 8167, 540, 2698, 16864, 3761, 538, 519, 2104, 855, 568, 4867, 28971, 269, 1306, 1312, 519, 16864, 6007, 3167, 6472, 543, 16864, 6990, 616, 538, 741, 26638, 267, 621, 568, 1271, 547, 4063, 602, 2104, 3761, 543, 3747, 568, 5393, 7334, 267, 543, 519, 4641, 538, 476, 13078, 271, 543, 3564, 568, 2693, 547, 581, 27723, 1114, 547, 602, 15810, 1934, 563, 280, 269, 4675, 11915, 6176, 454, 763, 25417, 6176, 3568, 20327, 540, 16864, 2504, 585, 782, 2477, 267, 607, 1134, 607, 8445, 1032, 543, 2557, 1344, 269, 2381, 5644, 268, 6349, 268, 1822, 4792, 1606, 9826, 269, 32502, 454, 268, 15011, 337, 267, 590, 13034, 5919, 631, 3291, 267, 717, 8160, 5919, 16902, 584, 1723, 267, 667, 269, 19077, 1756, 8249, 543, 13870, 281, 589, 11879, 6820, 10495, 282, 7797, 5423, 585, 595, 10485, 4629, 30200, 13560, 7201, 4469, 4711, 1222, 282, 4972, 540, 6406, 7177, 267, 3933, 1662, 2160, 4659, 585, 12655, 28358, 999, 267, 2160, 540, 5303, 281, 17638, 267, 5245, 267, 476, 1001, 271, 269, 1496, 11386, 10104, 2639, 268, 12275, 21884, 267, 667, 9950, 269, 18361, 540, 19077, 1756, 543, 7849, 25289, 25914, 728, 281, 4256, 3493, 657, 1080, 267, 14409, 267, 21964, 543, 16544, 267, 476, 272, 560, 1196, 282, 29021, 281, 24545, 267, 634, 13814, 267, 476, 1220, 275, 269, 1496, 11386, 10104, 2639, 268, 8111, 2006, 645, 1168, 732, 267, 918, 7973, 31354, 568, 7464, 282, 2817, 3778, 7467, 281, 476, 2190, 4989, 476, 1220, 278, 269, 12232, 2228, 281, 5291, 2517, 4178, 8542, 327, 332, 28482, 16896, 270, 12671, 268, 639, 30406, 270, 1220, 278, 270, 777, 22567, 30406, 13647, 10844, 11258, 630, 17739, 539, 593, 476, 275, 5130, 476, 1001, 273, 1916, 268, 2475, 13163, 540, 631, 1149, 282, 2475, 24959, 11752, 269, 30200, 5729, 1504, 267, 5450, 1023, 543, 30200, 282, 2475, 24959, 11752, 281, 26439, 334, 267, 31254, 267, 7330, 267, 476, 4572, 276, 1700, 1001, 271, 269, 12232, 2228, 281, 5291, 2517, 2381, 5644, 30994, 7714, 10993, 26553, 5644, 9706, 889, 338, 270, 5570, 617, 640, 270, 3240, 321, 630, 17739, 539, 593, 476, 1704, 4873, 476, 1001, 271, 1916, 268, 25115, 2155, 617, 640, 12834, 19077, 1756, 282, 2475, 269, 24959, 11752, 281, 26439, 334, 267, 31254, 267, 7330, 267, 476, 3192, 277, 1700, 2735, 276, 267, 476, 1960, 272, 1700, 1001, 271, 269, 12232, 2228, 281, 5291, 2517, 2381, 5644, 30994, 7714, 10993, 26553, 5644, 9706, 889, 338, 8276, 14369, 630, 17739, 539, 593, 476, 1704, 4873, 476, 1001, 271, 1916, 268, 6554, 540, 26146, 267, 5375, 8241, 25115, 543, 8891, 15950, 18926, 6226, 652, 282, 4972, 540, 631, 1149, 543, 8891, 15950, 267, 6554, 540, 5375, 5245, 281, 3131, 628, 267, 5245, 267, 476, 2735, 275, 1700, 1001, 271, 563, 268, 6554, 540, 26146, 267, 4972, 540, 631, 1149, 267, 543, 8891, 15950, 8249, 4578, 28567, 282, 4972, 540, 631, 1149, 543, 8891, 15950, 281, 3131, 628, 267, 5245, 267, 476, 1001, 271, 282, 12232, 2228, 281, 5291, 2517, 4178, 6155, 5404, 9884, 320, 10993, 28898, 270, 13923, 272, 269, 5684, 343, 630, 17739, 539, 593, 476, 2764, 4989, 476, 1001, 271, 1916, 268, 30200, 267, 5177, 269, 2622, 25115, 10803, 282, 3703, 24959, 11752, 281, 3502, 1154, 5069, 28790, 267, 5177, 267, 476, 4489, 274, 1700, 1001, 271, 269, 12232, 2228, 281, 5291, 2517, 4178, 12500, 7714, 28482, 16896, 26553, 5644, 4157, 23995, 520, 2524, 11320, 5454, 19425, 633, 11258, 630, 17739, 539, 593, 476, 274, 5147, 476, 1001, 271, 1916, 268, 1323, 560, 9116, 267, 570, 12171, 5919, 26689, 1380, 267, 772, 13034, 5919, 744, 828, 267, 808, 6993, 5919, 5576, 28704, 267, 670, 15030, 269, 4139, 21864, 30200, 22802, 12834, 7797, 1765, 299, 603, 1756, 282, 2475, 14899, 281, 28631, 267, 2910, 267, 7330, 267, 476, 1960, 271, 269, 1496, 11386, 10104, 2639, 268, 595, 4900, 517, 267, 623, 269, 30200, 18361, 282, 14351, 2023, 4964, 281, 1715, 3840, 267, 12924, 267, 7330, 267, 476, 2735, 271, 267, 476, 2735, 278, 1700, 1960, 273, 269, 1496, 11386, 10104, 2639, 268, 589, 7034, 267, 8241, 13163, 540, 10803, 5729, 1504, 282, 589, 7034, 281, 2052, 828, 571, 267, 5245, 267, 476, 3422, 272, 282, 12232, 2228, 281, 5291, 2517, 4178, 269, 11274, 10993, 28898, 630, 17739, 539, 593, 476, 736, 4989, 476, 1001, 271, 1916, 268, 681, 1054, 6202, 267, 681, 10422, 269, 25115, 12752, 267, 4706, 10803, 267, 5303, 267, 543, 11780, 282, 7177, 543, 14086, 4750, 267, 11660, 14539, 7577, 281, 1715, 3840, 267, 12924, 267, 7330, 267, 476, 6245, 280, 1700, 4350, 278, 269, 1496, 11386, 10104, 2639, 268, 29517, 22694, 894, 13909, 267, 16316, 7797, 540, 519, 4972, 540, 631, 1149, 267, 1715, 3162, 12986, 282, 21238, 6276, 13573, 6554, 2398, 5793, 281, 17638, 267, 5245, 267, 476, 3422, 271, 1700, 3422, 274, 563, 268, 5062, 301, 8372, 267, 808, 10422, 5919, 10609, 599, 7219, 267, 589, 269, 19077, 1756, 281, 6987, 24219, 519, 19672, 593, 519, 19077, 1756, 10369, 282, 15894, 2672, 23579, 281, 2098, 584, 747, 267, 16848, 267, 476, 1220, 280, 269, 12232, 2228, 281, 5291, 2517, 4178, 269, 30533, 323, 2593, 7933, 665, 270, 18684, 271, 4510, 5038, 13624, 603, 1756, 630, 17739, 539, 593, 476, 275, 5130, 476, 1001, 273, 1916, 268, 1323, 613, 17243, 267, 717, 5919, 16205, 515, 3187, 268, 2171, 573, 655, 2335, 267, 674, 5919, 654, 754, 331, 267, 631, 5919, 15261, 1115, 322, 3559, 267, 631, 269, 19077, 1756, 24166, 2098, 4157, 684, 1111, 4614, 1013, 860, 1329, 1765, 301, 778, 325, 14141, 3768, 1323, 613, 15318, 796, 614, 29817, 1180, 19907, 7137, 6686, 4242, 32218, 580, 2426, 3541, 18479, 19241, 668, 984, 4106, 382, 357, 520, 282, 29163, 29163, 4959, 296, 281, 10127, 3149, 745, 515, 267, 5125, 267, 476, 1220, 280, 269, 1496, 11386, 10104, 2639, 268, 2961, 956, 267, 700, 269, 3525, 2454, 7043, 31645, 6820, 19077, 1756, 853, 4169, 543, 10046, 338, 269, 9457, 19080, 267, 27878, 1723, 548, 12443, 23855, 1664, 674, 2946, 323, 2946, 337, 1446, 632, 5487, 639, 22828, 281, 5487, 639, 22828, 267, 16848, 267, 476, 1001, 271, 563, 268, 27213, 267, 681, 14389, 269, 1323, 2806, 1495, 766, 540, 19077, 1756, 3487, 5565, 269, 476, 1220, 279, 269, 12232, 2228, 281, 5291, 2517, 4178, 4318, 341, 16447, 2593, 15828, 3869, 270, 17395, 341, 753, 299, 603, 1756, 6781, 684, 766, 696, 273, 15005, 630, 17739, 539, 593, 476, 1704, 4873, 476, 1001, 271, 1040, 1496, 11386, 10104, 2639, 268, 962, 6545, 545, 267, 589, 5919, 570, 559, 2023, 267, 808, 9950, 269, 4635, 519, 19469, 8244, 7455, 547, 2708, 519, 3463, 540, 7777, 22930, 281, 634, 2013, 540, 16864, 269, 1763, 712, 269, 8889, 476, 1220, 280, 267, 476, 4097, 267, 476, 6977, 1700, 3707, 269, 1496, 11386, 10104, 2639, 268, 7720, 2803, 267, 590, 269, 19992, 30643, 779, 19077, 1756, 282, 11633, 30200, 281, 15762, 26963, 334, 267, 11404, 267, 7330, 282, 5181, 282, 476, 1220, 280, 269, 1496, 11386, 10104, 2639, 268, 7720, 2803, 267, 590, 269, 30643, 22367, 7719, 772, 344, 27376, 9149, 20958, 609, 3162, 9705, 282, 11633, 30200, 281, 15762, 26963, 334, 267, 11404, 267, 7330, 282, 5181, 282, 476, 1220, 280, 269, 1496, 11386, 10104, 2639, 268, 10934, 7723, 267, 715, 269, 30643, 17865, 25065, 853, 2803, 6820, 23996, 5295, 11038, 8648, 269, 476, 1001, 271, 563, 268, 2910, 11085, 289, 5357, 269, 634, 14425, 538, 772, 344, 27376, 2910, 11085, 289, 5357, 267, 476, 1001, 271, 269, 12232, 2228, 281, 5291, 2517, 5271, 8388, 12792, 657, 2513, 14746, 3820, 27651, 328, 21703, 286, 9556, 25222, 284, 307, 655, 553, 261, 28926, 322, 542, 284, 4910, 969, 553, 630, 17739, 539, 593, 476, 2537, 5147, 476, 1001, 271, 1916, 268, 30421, 828, 267, 623, 5919, 2405, 2088, 267, 623, 269, 6820, 19077, 1756, 2997, 22355, 281, 589, 4790, 571, 842, 585, 11272, 30863, 286, 9457, 540, 3163, 282, 2160, 540, 12309, 281, 7788, 1488, 4011, 267, 24696, 267, 7330, 282, 4989, 282, 476, 1001, 271, 269, 1496, 11386, 10104, 2639, 268, 30421, 828, 267, 623, 15030, 5919, 2405, 2088, 267, 623, 6993, 5919, 3223, 1961, 1014, 267, 717, 6993, 5919, 918, 525, 2401, 267, 590, 9950, 5919, 661, 951, 517, 267, 631, 10422, 5919, 9931, 15838, 267, 570, 12282, 269, 6820, 16864, 8244, 281, 589, 23061, 585, 3167, 6472, 286, 808, 269, 1473, 269, 661, 3712, 476, 1001, 272, 267, 476, 1428, 267, 476, 31318, 1700, 278, 4037, 269, 1496, 11386, 10104, 2639, 268, 22548, 651, 267, 717, 8160, 5919, 4498, 17754, 267, 623, 15030, 269, 19077, 1756, 2997, 22355, 9931, 10934, 267, 476, 1220, 280, 269, 12232, 2228, 281, 5291, 2517, 4178, 7456, 603, 1756, 718, 4800, 3820, 270, 12671, 2000, 603, 1756, 15828, 603, 1756, 1606, 1545, 270, 5952, 1532, 5802, 2861, 2000, 603, 1756, 9113, 12883, 630, 17739, 539, 593, 476, 1789, 5147, 476, 1001, 271, 1916, 268, 3851, 22057, 8943, 585, 27561, 540, 16709, 11778, 267, 25115, 8249, 543, 20957, 14425, 281, 634, 808, 3036, 290, 267, 476, 1220, 275, 269, 12232, 2228, 281, 5291, 2517, 4178, 12459, 528, 322, 3820, 9706, 4206, 10768, 528, 322, 1220, 275, 2745, 24449, 273, 15005, 630, 17739, 539, 593, 476, 276, 5181, 476, 1001, 271, 1916, 268, 570, 1695, 559, 267, 654, 269, 634, 24410, 1076, 2060, 19077, 1756, 476, 273, 282, 8585, 22941, 4139, 3194, 281, 6742, 664, 6807, 267, 5333, 267, 476, 1220, 279, 269, 12232, 2228, 281, 5291, 2517, 4178, 269, 1067, 22941, 10784, 9113, 2593, 270, 19061, 338, 13624, 603, 1756, 318, 19859, 2675, 2100, 15005, 630, 17739, 539, 593, 476, 1704, 4873, 476, 1001, 271, 1916, 268, 570, 1695, 559, 267, 654, 269, 634, 24410, 1076, 2060, 19077, 1756, 282, 8585, 22941, 4139, 3194, 281, 6742, 664, 6807, 267, 5333, 267, 476, 1220, 278, 269, 12232, 2228, 281, 5291, 2517, 4178, 269, 1067, 22941, 10784, 9113, 2593, 270, 19061, 338, 13624, 603, 1756, 318, 19370, 318, 273, 15005, 630, 17739, 539, 593, 476, 1704, 4873, 476, 1001, 271, 1916, 268, 27213, 267, 681, 14389, 269, 1323, 2806, 1495, 766, 540, 19077, 1756, 269, 4728, 476, 1220, 279, 269, 12232, 2228, 281, 5291, 2517, 4178, 269, 3832, 8542, 14369, 340, 12975, 270, 11223, 4953, 9706, 515, 341, 338, 15828, 603, 1756, 268, 822, 22355, 270, 2304, 6781, 1495, 766, 1993, 299, 603, 1756, 15005, 630, 17739, 539, 593, 476, 1704, 4873, 476, 1001, 271, 1040, 1496, 11386, 10104, 2639, 268, 1546, 742, 5674, 525, 267, 918, 2529, 269, 2622, 779, 3282, 2504, 8445, 22672, 19861, 538, 2282, 2104, 269, 13813, 13937, 808, 476, 1220, 273, 267, 476, 1911, 267, 476, 5379, 1700, 4366, 269, 1496, 11386, 10104, 2639, 268, 1323, 613, 17243, 267, 717, 269, 634, 2013, 540, 16864, 269, 18619, 540, 519, 10985, 19889, 7232, 2310, 19004, 267, 13017, 7238, 4771, 267, 13785, 267, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 297, 1168, 8636, 267, 476, 1220, 280, 1040, 19768, 532, 971, 1702, 666, 1291, 547, 513, 21603, 7848, 540, 2789, 12331, 602, 568, 17672, 2864, 982, 4863, 894, 538, 8757, 32705, 3853, 563, 20007, 673, 1983, 281, 4841, 1058, 917, 875, 547, 946, 2262, 4393, 3301, 630, 324, 3052, 1421, 9786, 6478, 267, 17948, 267, 543, 21629, 264, 547, 1711, 7792, 19297, 267, 2156, 577, 999, 267, 543, 3377, 24393, 269, 1358, 1058, 849, 581, 5578, 995, 538, 1210, 2228, 1603, 5867, 630, 324, 3052, 1421, 5616, 9022, 338, 267, 661, 706, 4565, 9233, 267, 654, 1460, 267, 31964, 267, 543, 5616, 26317, 264, 547, 1711, 3059, 5931, 269, 5047, 267, 789, 1058, 581, 2111, 547, 1711, 2592, 543, 2594, 8301, 543, 7044, 1210, 16389, 610, 3318, 3457, 543, 3301, 630, 324, 3052, 1421, 7353, 984, 26743, 267, 20429, 5589, 4650, 1160, 1040, 3958, 267, 2596, 1983, 538, 11049, 543, 11249, 1617, 574, 27567, 6119, 616, 2556, 585, 7393, 519, 2949, 7145, 540, 2792, 563, 29936, 538, 5564, 574, 27567, 5675, 570, 3696, 454, 7212, 519, 7820, 5481, 616, 1634, 585, 1373, 10509, 1606, 822, 11803, 267, 789, 946, 5907, 3457, 5631, 585, 1514, 5301, 267, 1519, 1257, 532, 267, 1514, 2923, 267, 11080, 267, 6580, 267, 543, 3377, 630, 298, 11530, 518, 641, 9567, 657, 267, 476, 1001, 280, 1040, 1358, 3622, 3668, 519, 3059, 7924, 1983, 2838, 585, 4081, 4247, 269, 5047, 267, 1256, 1498, 1053, 616, 6534, 547, 1617, 574, 27567, 5931, 3232, 267, 789, 949, 711, 723, 9715, 519, 1898, 1702, 543, 1983, 538, 2870, 873, 269, 898, 568, 3610, 685, 5539, 547, 948, 873, 1020, 971, 16169, 547, 6707, 4612, 543, 4020, 1617, 574, 27567, 2495, 269, 3414, 13883, 2259, 267, 1053, 1831, 968, 5562, 9858, 892, 540, 1514, 20304, 630, 763, 1715, 5507, 6828, 267, 476, 1960, 277, 267, 533, 269, 476, 5038, 1916, 27645, 1404, 513, 4105, 1909, 538, 1617, 574, 27567, 1603, 3785, 269, 1358, 1590, 581, 5432, 609, 875, 1114, 2792, 12331, 1711, 2495, 267, 14384, 543, 538, 512, 30802, 609, 1142, 824, 269, 769, 1840, 267, 789, 1058, 581, 2111, 547, 948, 1053, 1118, 5483, 3664, 593, 7446, 519, 1034, 2500, 4999, 540, 12331, 538, 513, 1808, 32705, 2796, 269, 901, 19329, 1697, 2866, 547, 948, 3610, 2744, 6791, 538, 891, 2127, 1354, 789, 666, 18836, 971, 1702, 543, 1983, 547, 1053, 563, 1103, 519, 1739, 3296, 267, 649, 6542, 267, 998, 1614, 1806, 267, 875, 3610, 666, 3362, 2981, 2757, 1603, 12987, 883, 1617, 574, 27567, 4247, 563, 16248, 5564, 574, 27567, 11536, 5357, 5675, 570, 3696, 454, 272, 269, 8125, 550, 17912, 454, 1103, 713, 4305, 267, 513, 2110, 14980, 4670, 630, 324, 3052, 1421, 18557, 623, 1460, 541, 779, 31040, 585, 22312, 264, 568, 1031, 607, 519, 3308, 1603, 5401, 269, 634, 3381, 2591, 1053, 547, 8415, 741, 4337, 5209, 543, 12701, 741, 6863, 23854, 547, 2328, 513, 1650, 269, 11334, 949, 3442, 547, 5031, 513, 1808, 8239, 1448, 630, 324, 3052, 1421, 968, 31095, 1210, 2241, 1459, 13029, 14615, 610, 1603, 5578, 630, 324, 3052, 1421, 968, 2224, 10444, 11673, 892, 1916, 1607, 5401, 666, 581, 1031, 585, 1312, 1762, 543, 2937, 2296, 1893, 6267, 269, 8479, 6267, 666, 581, 4280, 547, 7097, 519, 4670, 4553, 676, 513, 2022, 8586, 9117, 32717, 13050, 4305, 269, 20661, 666, 581, 2838, 547, 2347, 513, 10316, 2239, 17393, 20696, 1606, 636, 4424, 1603, 602, 10905, 1936, 908, 519, 1650, 609, 2123, 18759, 593, 922, 2495, 269, 5221, 519, 17003, 3294, 568, 2262, 1652, 267, 519, 4729, 543, 18572, 616, 1930, 547, 3875, 12496, 269, 1703, 568, 1100, 1318, 610, 4636, 2626, 607, 1279, 607, 519, 2875, 5856, 666, 946, 3308, 2963, 689, 519, 4670, 547, 1489, 741, 1603, 269, 898, 568, 4241, 547, 1294, 1018, 4798, 1114, 1053, 1491, 2476, 689, 519, 14980, 4670, 543, 2263, 538, 741, 1603, 563, 273, 269, 15332, 7308, 7232, 1087, 599, 17130, 454, 25565, 1603, 4247, 2709, 513, 3908, 3760, 602, 14543, 547, 1397, 1053, 519, 5222, 540, 1603, 3564, 519, 7525, 2796, 540, 13460, 269, 16677, 698, 16479, 1603, 4247, 1590, 711, 1491, 1747, 538, 513, 12511, 282, 3079, 267, 789, 1058, 2992, 15491, 4641, 543, 1118, 6086, 633, 4296, 547, 519, 3677, 3942, 538, 519, 1483, 1158, 269, 901, 15332, 7308, 7232, 1087, 599, 4305, 3091, 971, 606, 4316, 563, 1103, 713, 4305, 267, 1053, 616, 4280, 547, 3132, 513, 15264, 610, 13334, 3381, 602, 9311, 625, 606, 1557, 7084, 269, 769, 1840, 547, 26446, 606, 12819, 1557, 538, 1489, 540, 13373, 5109, 9344, 693, 1153, 267, 1053, 666, 581, 4280, 547, 1711, 513, 13334, 3381, 6029, 873, 5967, 532, 1053, 543, 3610, 945, 3858, 543, 10990, 609, 519, 1557, 779, 4661, 563, 763, 24384, 990, 529, 783, 2504, 5713, 607, 519, 15699, 540, 513, 2875, 779, 2093, 538, 606, 1557, 543, 513, 10282, 540, 824, 5380, 269, 898, 666, 581, 3362, 23345, 593, 513, 2875, 779, 610, 519, 2898, 1362, 779, 13334, 8756, 547, 2671, 609, 513, 3677, 5304, 269, 634, 1249, 602, 741, 7044, 666, 581, 9763, 676, 4896, 593, 519, 4950, 543, 29499, 593, 676, 13915, 543, 18793, 7567, 568, 2693, 547, 10996, 643, 1125, 1053, 547, 581, 811, 7722, 538, 519, 4305, 543, 3132, 2362, 2298, 960, 563, 274, 269, 4860, 2358, 7304, 1030, 22162, 7304, 1815, 1800, 630, 274, 20745, 994, 25565, 1184, 15129, 1603, 3340, 1053, 547, 2992, 593, 741, 1603, 267, 23590, 585, 1543, 267, 543, 12575, 585, 6111, 269, 12769, 31531, 267, 1053, 616, 4280, 547, 2328, 513, 13959, 4062, 547, 2491, 875, 789, 1205, 689, 8672, 589, 630, 2181, 8586, 264, 547, 2098, 630, 2745, 532, 9706, 889, 7667, 1040, 901, 1558, 1177, 3876, 2534, 2501, 538, 1896, 3029, 630, 293, 518, 5142, 1299, 670, 539, 326, 32024, 267, 476, 1001, 275, 1070, 1079, 540, 799, 616, 607, 5205, 912, 7336, 534, 894, 14594, 281, 589, 2110, 14436, 1509, 334, 610, 3382, 4484, 568, 7923, 547, 519, 3803, 8908, 267, 7713, 875, 519, 2875, 5856, 8359, 547, 4019, 630, 528, 711, 264, 14357, 543, 5924, 9263, 5955, 563, 10955, 1746, 8298, 281, 901, 2845, 5713, 607, 606, 11891, 540, 6959, 543, 7222, 28303, 267, 2417, 4543, 1053, 5469, 3270, 543, 2057, 8093, 1436, 563, 4322, 4247, 2154, 1053, 547, 2328, 1586, 827, 1603, 269, 2060, 519, 12591, 4805, 267, 3610, 666, 10355, 7148, 883, 519, 3206, 3157, 799, 5401, 1053, 547, 1118, 1978, 3664, 538, 2847, 2358, 563, 2304, 4244, 568, 513, 476, 274, 20745, 4305, 267, 799, 3340, 1053, 547, 2594, 606, 8301, 8086, 1310, 11264, 513, 17326, 2761, 1557, 7084, 269, 634, 10916, 5713, 519, 12242, 3483, 540, 513, 968, 25659, 622, 18274, 518, 892, 630, 716, 22899, 513, 1114, 1893, 6389, 1765, 14588, 1136, 264, 543, 513, 1007, 5086, 547, 22113, 519, 16082, 540, 1367, 1603, 3157, 269, 589, 2582, 8301, 10916, 666, 581, 476, 272, 1700, 273, 3764, 1279, 269, 4841, 666, 581, 2016, 513, 23730, 4976, 547, 7406, 543, 15052, 741, 8086, 269, 634, 19827, 666, 581, 1031, 676, 16929, 547, 5659, 1053, 685, 2847, 2358, 3157, 267, 3664, 267, 543, 2994, 547, 2285, 873, 1732, 14469, 5796, 543, 5583, 563, 4322, 4247, 666, 581, 9862, 585, 1114, 15226, 2516, 610, 14292, 8658, 269, 1284, 4126, 602, 713, 1957, 26182, 2296, 1893, 3610, 547, 2981, 6671, 1603, 10467, 883, 1617, 574, 27567, 3785, 547, 1732, 948, 1053, 1020, 1617, 574, 27567, 7924, 1983, 563, 289, 15401, 534, 267, 590, 269, 630, 1001, 279, 1040, 7913, 9423, 281, 589, 1617, 574, 27567, 2239, 1603, 9135, 269, 4750, 540, 5678, 543, 23008, 2524, 5525, 267, 1691, 263, 274, 1070, 476, 1708, 1700, 18891, 563, 293, 518, 5142, 267, 667, 269, 681, 1421, 1299, 670, 539, 326, 32024, 267, 808, 269, 590, 269, 630, 1001, 275, 1040, 9752, 26613, 5888, 269, 20828, 267, 1184, 267, 543, 2259, 269, 30296, 563, 297, 1168, 8636, 267, 595, 269, 630, 10955, 12175, 630, 1220, 280, 1040, 634, 30296, 25156, 540, 1617, 574, 27567, 2079, 269, 30296, 563, 298, 11530, 518, 641, 9567, 657, 267, 589, 269, 630, 1001, 280, 1040, 1215, 7820, 5481, 8532, 3377, 8335, 543, 519, 6286, 585, 13416, 2923, 269, 4469, 5446, 334, 269, 4179, 2517, 516, 26407, 13318, 3482, 4877, 29176, 269, 2135, 28482, 16896, 4882, 2572, 270, 29239, 11721, 3796, 270, 1708, 272, 268, 6349, 22077, 4594, 532, 2135, 3918, 21585, 7304, 788, 677, 6363, 1638, 11860, 294, 13305, 2764, 15005, 454, 763, 1715, 5507, 6828, 269, 630, 1960, 277, 1040, 589, 27380, 540, 1617, 559, 3438, 9313, 281, 27588, 1514, 2934, 13034, 541, 10542, 12409, 5623, 267, 476, 5780, 263, 272, 1070, 476, 2568, 1700, 11152, 563, 306, 611, 1731, 267, 589, 269, 630, 1220, 279, 1040, 7913, 9423, 281, 589, 6209, 2029, 10784, 1122, 3603, 1935, 585, 7722, 2875, 1565, 269, 12409, 5303, 3194, 543, 4886, 267, 476, 6321, 263, 275, 1070, 476, 4366, 278, 1700, 2004, 277, 563, 312, 836, 267, 962, 269, 570, 269, 595, 1421, 1299, 18961, 267, 654, 269, 595, 269, 594, 269, 630, 1001, 273, 1040, 7913, 9423, 585, 7393, 2875, 4081, 9740, 267, 2565, 3206, 267, 543, 1565, 8404, 281, 589, 1032, 17489, 8097, 1353, 269, 23675, 1299, 4065, 267, 476, 6795, 267, 476, 26552, 1700, 31134, 563, 312, 3019, 267, 570, 269, 630, 1001, 273, 1040, 3657, 596, 7857, 1242, 286, 18467, 547, 1683, 8404, 585, 661, 17247, 338, 1210, 3059, 9423, 269, 17220, 4750, 540, 3194, 5525, 538, 12409, 5303, 267, 476, 273, 267, 476, 1839, 1700, 4097, 563, 12606, 713, 2376, 630, 14457, 994, 304, 328, 663, 328, 20568, 568, 4867, 606, 13930, 7548, 540, 519, 23008, 2524, 5358, 543, 519, 4972, 540, 2296, 5678, 543, 9085, 693, 519, 2160, 540, 3162, 10491, 269, 4173, 1382, 6791, 6013, 538, 2034, 1893, 1603, 267, 2854, 30997, 5955, 538, 1880, 269, 4173, 3450, 814, 5059, 593, 10790, 6874, 2464, 5357, 13995, 6030, 543, 24099, 8239, 585, 6281, 2296, 1893, 6575, 3610, 563, 24426, 526, 21119, 2725, 574, 3316, 568, 4867, 606, 4081, 11285, 538, 519, 14288, 8081, 5149, 540, 519, 18758, 3919, 31222, 5753, 779, 18630, 269, 4173, 960, 538, 519, 2250, 476, 1015, 1296, 814, 1044, 10704, 593, 4928, 6044, 630, 514, 16512, 543, 2228, 1070, 6437, 1374, 267, 543, 4116, 2866, 538, 519, 8658, 540, 26613, 270, 9128, 299, 538, 2362, 2069, 543, 661, 6369, 538, 918, 1700, 1321, 563, 9558, 331, 1481, 1645, 538, 645, 13308, 543, 26613, 4147, 7741, 454, 2467, 568, 2963, 540, 6037, 1481, 1645, 782, 1472, 721, 538, 1169, 851, 540, 519, 1158, 269, 5548, 545, 520, 612, 839, 14441, 29535, 9313, 593, 4191, 538, 1896, 4654, 267, 6608, 2022, 14773, 906, 538, 4654, 1034, 1419, 9275, 676, 4961, 267, 543, 6994, 23924, 2721, 593, 519, 4654, 540, 741, 1761, 5561, 269, 25927, 1481, 1645, 568, 519, 6093, 1259, 19636, 338, 946, 1893, 607, 789, 5968, 538, 741, 2950, 269, 25661, 17144, 630, 1220, 280, 264, 11225, 6037, 1481, 1645, 607, 519, 968, 20123, 2118, 1167, 27641, 2853, 538, 799, 19636, 338, 4497, 538, 1931, 547, 1118, 2631, 540, 741, 19636, 10600, 892, 630, 335, 269, 476, 3393, 1916, 1432, 1772, 25927, 1481, 1645, 888, 7212, 19636, 338, 6923, 946, 782, 519, 4654, 789, 723, 9715, 3544, 1153, 267, 538, 1082, 3506, 789, 616, 3908, 547, 1210, 1175, 835, 1893, 269, 4634, 538, 19636, 3292, 267, 19636, 338, 1419, 616, 2838, 547, 946, 1152, 519, 3077, 1893, 950, 4974, 1114, 5396, 269, 595, 17026, 1231, 630, 1220, 278, 264, 13187, 602, 713, 7453, 9668, 540, 4654, 267, 799, 646, 2474, 968, 1492, 1079, 1151, 6421, 2223, 11710, 689, 513, 31605, 602, 12042, 619, 1312, 1893, 11601, 543, 4081, 1543, 1646, 563, 2026, 25661, 17144, 630, 1001, 278, 264, 543, 1866, 723, 6045, 267, 19636, 338, 723, 835, 1950, 10409, 1062, 602, 814, 2934, 540, 1079, 610, 811, 4654, 602, 789, 3277, 547, 607, 513, 10409, 27132, 630, 294, 2117, 17144, 267, 594, 8663, 571, 9652, 267, 1299, 590, 3881, 10045, 267, 476, 1001, 278, 1040, 4841, 538, 19636, 543, 2296, 607, 513, 2034, 1893, 630, 2464, 299, 264, 13460, 2721, 593, 741, 10409, 25479, 2231, 547, 5968, 543, 547, 1118, 2631, 540, 6044, 269, 11334, 945, 6451, 6037, 1481, 1645, 1210, 782, 741, 1053, 685, 1893, 2200, 1489, 519, 11601, 540, 1312, 1893, 543, 1543, 563, 25618, 545, 946, 540, 6037, 1481, 1645, 7028, 1565, 267, 855, 6037, 1481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1446, 573, 24005, 540, 4657, 5784, 257, 602, 723, 31030, 593, 519, 28639, 540, 1010, 1979, 20802, 543, 519, 2959, 2139, 547, 873, 282, 2394, 621, 729, 15260, 612, 539, 538, 519, 2034, 3368, 540, 519, 476, 736, 628, 2540, 267, 1010, 10639, 538, 519, 2136, 2276, 729, 835, 540, 513, 1119, 7949, 269, 6723, 729, 4535, 538, 5507, 693, 7439, 27714, 5600, 538, 853, 6276, 781, 12384, 267, 646, 729, 519, 1178, 2738, 517, 540, 3751, 6723, 4083, 267, 519, 7800, 652, 5067, 540, 19291, 267, 13584, 540, 12986, 267, 4864, 320, 540, 29017, 324, 8566, 1054, 320, 563, 2026, 646, 729, 4535, 1079, 3275, 16349, 569, 543, 2219, 12691, 547, 7639, 267, 646, 729, 19071, 2213, 519, 1482, 1554, 676, 7338, 1530, 14982, 267, 1312, 681, 10725, 540, 853, 6276, 781, 543, 21674, 540, 10228, 269, 2290, 3923, 646, 729, 15597, 19071, 2213, 693, 7439, 27714, 5600, 267, 1586, 676, 1530, 14982, 267, 1010, 5601, 18499, 941, 519, 3751, 540, 13785, 267, 1010, 11515, 519, 16099, 540, 29017, 324, 8566, 1054, 320, 543, 1010, 1390, 268, 13550, 519, 10348, 540, 2398, 17892, 269, 13584, 6723, 8057, 883, 513, 2635, 855, 21183, 1126, 282, 519, 1920, 6410, 547, 2274, 1182, 614, 12384, 267, 1141, 6723, 543, 1010, 7820, 7015, 13584, 11977, 267, 16099, 540, 3840, 543, 19186, 1415, 267, 941, 13473, 1927, 676, 4357, 21493, 269, 7731, 5022, 1397, 602, 646, 1223, 1224, 543, 2328, 538, 1312, 2296, 543, 4436, 267, 607, 1134, 607, 6085, 593, 2797, 2621, 540, 519, 942, 267, 676, 519, 2085, 540, 5216, 267, 646, 729, 519, 1101, 3703, 16313, 547, 1353, 2257, 18928, 269, 18766, 689, 7998, 543, 6323, 267, 1010, 4245, 3769, 17651, 267, 3943, 267, 1686, 267, 11585, 267, 16450, 543, 13338, 1876, 267, 2059, 609, 23242, 543, 1514, 18517, 971, 607, 15472, 543, 14964, 267, 1010, 3909, 2069, 729, 28025, 29842, 534, 563, 4263, 2085, 476, 1015, 267, 6723, 3576, 851, 538, 513, 1920, 2504, 540, 9478, 5410, 2581, 781, 1404, 595, 6737, 543, 1767, 538, 519, 1007, 7139, 4084, 281, 834, 1432, 267, 555, 334, 262, 513, 7911, 256, 898, 949, 609, 5168, 581, 1767, 267, 589, 7911, 538, 4789, 4535, 267, 538, 4789, 26870, 1701, 16024, 1014, 7931, 2284, 20767, 326, 19213, 11130, 602, 891, 3515, 2408, 834, 1729, 581, 519, 2707, 540, 519, 1152, 3140, 8360, 609, 799, 646, 568, 2404, 2668, 6723, 781, 22516, 267, 3751, 6723, 4083, 267, 20247, 27419, 519, 13584, 540, 12986, 267, 3576, 2370, 1719, 538, 1010, 6264, 18244, 269, 1717, 267, 538, 476, 11260, 272, 519, 13584, 540, 12986, 5747, 30122, 689, 513, 5761, 5945, 693, 519, 2085, 540, 476, 4510, 267, 6723, 2968, 25752, 7805, 547, 519, 17599, 267, 646, 15110, 1010, 4651, 781, 2140, 540, 16099, 540, 25470, 269, 3767, 811, 5461, 538, 1010, 1178, 2738, 517, 267, 1614, 4374, 519, 3751, 2813, 6723, 13584, 540, 12986, 269, 769, 519, 5614, 540, 476, 11260, 277, 267, 607, 6723, 14059, 1010, 22733, 14512, 267, 519, 3751, 6035, 1864, 513, 6264, 10661, 693, 853, 6276, 781, 20066, 267, 855, 6723, 15189, 519, 2709, 267, 11461, 676, 1010, 3993, 543, 1200, 1476, 573, 656, 267, 7083, 645, 1393, 267, 945, 1131, 4196, 607, 11788, 10579, 269, 6723, 781, 3993, 267, 1631, 519, 22337, 4526, 25905, 540, 12986, 267, 9053, 547, 1832, 6723, 693, 1753, 1141, 1352, 1223, 28093, 826, 1864, 609, 1200, 7453, 5837, 2418, 563, 1103, 476, 11260, 280, 267, 6723, 729, 1159, 527, 1084, 609, 15248, 8861, 31143, 2135, 267, 11078, 540, 519, 16099, 540, 29430, 267, 855, 7083, 645, 1393, 15695, 1996, 519, 6474, 543, 6723, 14460, 1010, 4555, 540, 7365, 269, 834, 296, 993, 4535, 585, 519, 8788, 610, 3765, 2044, 540, 513, 1390, 4182, 2437, 646, 5206, 267, 834, 663, 1590, 957, 14669, 547, 1250, 18653, 1701, 28055, 338, 676, 519, 3751, 547, 19533, 6723, 547, 25905, 20153, 773, 8349, 710, 540, 19839, 1873, 1157, 8862, 6504, 523, 321, 6686, 1777, 601, 941, 5706, 539, 676, 1864, 543, 1010, 3993, 269, 634, 1739, 1032, 267, 693, 519, 2085, 540, 476, 2420, 267, 6723, 16309, 547, 519, 17599, 950, 1010, 22516, 267, 6723, 4083, 267, 5747, 593, 476, 1839, 5239, 476, 12293, 271, 267, 1079, 4374, 1354, 1010, 476, 6507, 628, 14512, 282, 519, 3406, 585, 513, 5078, 7385, 14556, 1881, 269, 2201, 476, 279, 5181, 476, 12293, 272, 538, 519, 30989, 9576, 267, 853, 6276, 781, 20066, 267, 519, 3751, 9310, 25905, 23770, 540, 2725, 1188, 6352, 7921, 21178, 7758, 6308, 267, 7247, 646, 1558, 593, 741, 16806, 1554, 269, 589, 6830, 9519, 593, 476, 2420, 5181, 1312, 941, 7715, 2740, 693, 31689, 30745, 269, 6723, 26526, 2760, 3576, 513, 5134, 816, 267, 519, 7008, 10150, 513, 22992, 6126, 7365, 2394, 1010, 2790, 4576, 13351, 267, 789, 1185, 476, 1428, 1453, 4534, 3670, 20766, 269, 769, 476, 12293, 273, 267, 6723, 12349, 21207, 532, 5069, 5600, 585, 946, 607, 513, 1920, 18956, 563, 14367, 824, 4036, 1878, 941, 6489, 7717, 16836, 269, 853, 6276, 781, 20066, 729, 17477, 585, 0, 3080, 949, 3136, 547, 2490, 547, 519, 16723, 12039, 630, 3066, 264, 538, 519, 8746, 4126, 540, 4466, 606, 3507, 2406, 17386, 7447, 540, 519, 21274, 799, 616, 1766, 894, 538, 519, 5339, 3977, 269, 1635, 4704, 547, 519, 3349, 2630, 799, 6799, 513, 2489, 6476, 540, 519, 1079, 18631, 1296, 835, 781, 3007, 568, 13351, 676, 1079, 5013, 269, 769, 476, 5002, 280, 972, 568, 513, 6175, 540, 936, 19939, 829, 1298, 269, 769, 519, 2698, 1297, 540, 8100, 7396, 538, 519, 3105, 1032, 269, 1703, 568, 1100, 7872, 540, 8159, 2436, 713, 568, 606, 6207, 6175, 610, 2436, 713, 9991, 11325, 568, 7357, 30289, 547, 519, 10189, 540, 1793, 2354, 5627, 930, 540, 519, 10643, 6394, 676, 938, 4436, 3523, 2209, 799, 729, 4503, 538, 519, 13875, 630, 4818, 8814, 781, 8074, 1040, 901, 2530, 1281, 711, 267, 2705, 267, 1198, 519, 3448, 20823, 540, 519, 8783, 3584, 538, 519, 2257, 6964, 676, 519, 12039, 585, 519, 3483, 540, 1362, 4328, 713, 3638, 543, 9867, 12190, 7240, 1570, 269, 634, 20823, 1931, 540, 891, 4557, 6299, 7879, 3788, 9838, 609, 519, 1931, 602, 5833, 538, 476, 5002, 279, 269, 769, 11047, 1276, 607, 513, 6175, 4386, 538, 1142, 1888, 267, 835, 3112, 31831, 689, 6998, 281, 1684, 649, 1934, 723, 606, 16315, 540, 519, 26556, 540, 513, 10151, 2324, 3666, 1851, 519, 8789, 4690, 540, 6530, 286, 1703, 616, 9270, 3448, 547, 519, 21483, 3928, 540, 3621, 13120, 799, 1131, 1291, 835, 547, 26845, 971, 606, 26556, 538, 1022, 2257, 269, 0, 21809, 2065, 540, 519, 5729, 476, 1001, 279, 281, 476, 3445, 269, 276, 260, 540, 5068, 3653, 814, 2760, 1044, 13381, 454, 763, 10888, 4139, 6465, 2065, 540, 476, 1001, 279, 568, 476, 3445, 269, 276, 260, 281, 519, 8167, 540, 5068, 3653, 602, 814, 2760, 1044, 13381, 269, 6480, 13846, 693, 476, 277, 267, 4968, 2929, 11973, 19726, 267, 621, 779, 2219, 602, 1472, 476, 1321, 260, 540, 782, 5068, 3653, 814, 1044, 1651, 10719, 730, 267, 609, 10199, 476, 8064, 260, 7213, 6819, 538, 2901, 25087, 610, 519, 2067, 1604, 630, 553, 21433, 689, 13870, 267, 2422, 267, 543, 674, 622, 540, 782, 15229, 2479, 1500, 676, 681, 2983, 9807, 267, 808, 681, 11918, 20198, 543, 918, 30225, 2658, 4521, 1916, 8072, 2005, 779, 1360, 7282, 602, 971, 513, 1804, 8167, 540, 5068, 3653, 814, 2760, 1044, 13381, 8730, 3081, 681, 7704, 5518, 267, 11184, 6424, 1975, 20672, 601, 15595, 614, 267, 945, 669, 8529, 519, 853, 1846, 540, 519, 5729, 32198, 8470, 269, 2048, 1607, 18802, 2337, 547, 1397, 519, 4336, 540, 519, 4161, 649, 782, 3068, 269, 898, 814, 1318, 569, 1044, 3957, 519, 681, 7704, 779, 2048, 17220, 6465, 2065, 540, 519, 5729, 685, 585, 476, 1001, 279, 19028, 5649, 519, 2407, 2376, 1934, 281, 4179, 2517, 4178, 14714, 1846, 5158, 3820, 16896, 30406, 270, 29710, 277, 3613, 520, 2524, 6361, 7308, 4458, 268, 1001, 279, 2914, 514, 2996, 268, 2335, 6407 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16597, 284, 7257, 7272, 9438, 267, 513, 525, 9638, 1042, 4671, 1307, 267, 4397, 5334, 584, 341, 1516, 1070, 27836, 18502, 525, 815, 674, 267, 2681, 8782, 1042, 10807, 30492, 613, 558, 318, 1026, 2548, 16597, 284, 7257, 7272, 9438, 267, 513, 525, 9638, 1042, 4671, 1307, 267, 586, 2381, 815, 1547, 12294, 267, 586, 10946, 284, 269, 21639, 1070, 27836, 18502, 525, 815, 674, 267, 6445, 8782, 1042, 3299, 13672, 284, 271, 269, 276, 2020, 26329, 24909, 3100, 9425, 2786, 4464, 269, 1411, 1223, 6148, 2203, 13672, 543, 12498, 1454, 538, 519, 1482, 1259, 596, 798, 585, 513, 12498, 9695, 780, 258, 22953, 692, 1103, 602, 1482, 1957, 616, 1079, 1806, 540, 6668, 14258, 282, 835, 585, 968, 14683, 1439, 892, 5561, 543, 1776, 585, 968, 10585, 892, 5561, 269, 898, 1058, 581, 9425, 2786, 4464, 547, 2328, 713, 607, 513, 9695, 2203, 269, 1403, 596, 4076, 2854, 513, 12498, 9695, 1354, 267, 596, 666, 798, 713, 9425, 11593, 780, 3086, 267, 581, 19230, 281, 3733, 1935, 568, 7168, 11360, 344, 267, 855, 922, 1175, 5921, 547, 9414, 513, 1448, 269, 3371, 568, 519, 9695, 2203, 538, 2407, 692, 325, 17313, 19127, 9418, 521, 321, 326, 9078, 23486, 263, 9418, 942, 267, 1483, 13672, 267, 1483, 12498, 264, 346, 692, 8873, 561, 15883, 263, 10401, 266, 272, 267, 12498, 266, 5503, 268, 272, 264, 910, 561, 15883, 263, 10401, 267, 12498, 11850, 10926, 9418, 521, 321, 326, 9078, 764, 4206, 263, 9418, 942, 267, 1483, 13672, 267, 1483, 12498, 264, 346, 692, 8873, 561, 15883, 263, 10401, 267, 12498, 1341, 942, 264, 910, 561, 15883, 263, 10401, 267, 12498, 11850, 10926, 8679, 11907, 19127, 2260, 17325, 725, 454, 842, 562, 3248, 2260, 21023, 832, 630, 273, 538, 713, 2013, 994, 842, 533, 3248, 6783, 19559, 316, 1483, 942, 3248, 2260, 5071, 5119, 454, 9795, 19559, 267, 533, 316, 2473, 3248, 6783, 19559, 316, 703, 4503, 3248, 2260, 1452, 616, 519, 11360, 344, 11353, 269, 476, 594, 1175, 1810, 1405, 1616, 547, 960, 2182, 547, 454, 2260, 30770, 891, 538, 588, 534, 267, 865, 594, 798, 873, 538, 681, 563, 6783, 19559, 316, 703, 2040, 9078, 739, 3248, 6783, 19559, 316, 703, 562, 4671, 4973, 3248, 8679, 10520, 11526, 1239, 19127, 9418, 959, 15635, 566, 22710, 815, 3193, 263, 5503, 11850, 8679, 12407, 4394, 19127, 19066, 314, 335, 316, 1990, 9508, 3248, 19066, 314, 335, 316, 18325, 3248, 8679, 10520, 11526, 6724, 19127, 19066, 283, 12294, 284, 271, 267, 5580, 284, 272, 285, 314, 333, 316, 18665, 815, 1045, 318, 8421, 527, 11583, 2608, 1990, 9508, 11850, 19066, 283, 12294, 284, 271, 285, 314, 333, 316, 737, 28385, 815, 1163, 11583, 2608, 18325, 32007, 2260, 9877, 540, 899, 12498, 9695, 563, 19066, 19559, 316, 13672, 815, 18665, 32220, 330, 28385, 3248, 19066, 19559, 316, 12498, 815, 630, 272, 2173, 340, 1040, 270, 330, 28385, 3248, 8679, 16347, 19127, 345, 9508, 9625, 2875, 4671, 263, 274, 269, 276, 267, 476, 271, 267, 476, 272, 11850, 24472, 9625, 2875, 4671, 263, 274, 269, 276, 267, 476, 271, 267, 476, 272, 32007, 1721, 9217, 538, 476, 272, 281, 333, 264, 19127, 604, 630, 5503, 5157, 316, 2652, 959, 15635, 566, 22710, 264, 19127, 339, 13759, 6834, 4503, 5157, 316, 2608, 521, 321, 326, 9078, 23486, 263, 5503, 5157, 316, 347, 13672, 5157, 3910, 12498, 5157, 8079, 3248, 339, 13759, 6834, 630, 333, 4671, 4973, 5157, 316, 910, 2040, 9078, 739, 5157, 8079, 2608, 521, 321, 326, 9078, 764, 4206, 6025, 14725, 322, 566, 22710, 347, 13672, 5157, 3910, 12498, 5157, 8079, 3248, 8679, 12828, 19127, 339, 13759, 6834, 4503, 5157, 316, 2608, 521, 321, 326, 9078, 23486, 263, 5503, 5157, 316, 347, 13672, 5157, 3910, 12498, 5157, 8079, 3248, 8679, 8679, 8679, 10090, 730, 9424, 19127, 6783, 19559, 316, 1483, 4397, 5334, 584, 341, 1516, 16963, 1721, 9217, 538, 476, 272, 281, 333, 264, 19127, 1410, 4624, 5334, 584, 341, 1516, 5157, 316, 815, 1163, 4433, 321, 326, 9078, 764, 4206, 263, 5503, 5157, 316, 347, 13672, 5157, 3910, 12498, 5157, 316, 4297, 3248, 8679, 8679, 24927, 454, 258, 590, 13446, 585, 519, 838, 698, 515, 26152, 692, 10585, 5334, 584, 341, 26013, 524, 263, 476, 277, 4029, 267, 476, 5379, 279, 267, 476, 4343, 273, 267, 476, 30444, 267, 476, 29579, 267, 476, 26783, 267, 476, 25240, 267, 476, 23417, 267, 476, 21709, 267, 476, 3707, 267, 476, 8146, 267, 476, 15876, 994, 327, 580, 9150, 5334, 584, 341, 26013, 524, 263, 476, 279, 7597, 267, 476, 278, 6246, 267, 476, 4792, 274, 267, 476, 6795, 274, 267, 476, 4649, 272, 267, 476, 276, 1704, 267, 476, 5392, 272, 267, 476, 5379, 279, 267, 476, 275, 3393, 267, 476, 275, 2767, 267, 476, 30156, 267, 476, 4375, 275, 2020, 323, 26013, 512, 756, 1076, 18692, 19894, 815, 2834, 5334, 584, 341, 2676, 11947, 7736, 815, 2031, 9150, 5334, 584, 341, 2676, 5503, 815, 476, 272, 281, 26319, 263, 10585, 5334, 584, 341, 994, 264, 4939, 285, 14999, 335, 643, 582, 9078, 784, 518, 263, 19894, 281, 11947, 7736, 2676, 12849, 15461, 815, 1412, 322, 2396, 518, 22779, 11161, 15461, 815, 1412, 31162, 341, 1516, 10807, 4939, 285, 14999, 16766, 318, 2421, 6262, 2396, 518, 264, 4939, 285, 14999, 1551, 1052, 6262, 2396, 518, 264, 4939, 285, 14999, 332, 583, 622, 263, 14683, 318, 754, 815, 607, 8542, 10179, 545, 6262, 2396, 518, 2525, 262, 11947, 7736, 262, 13211, 331, 739, 815, 952, 318, 12828, 263, 5503, 2652, 272, 267, 476, 1911, 271, 1606, 584, 341, 1516, 267, 18848, 4433, 584, 341, 1516, 267, 476, 272, 264, 910, 17005, 13211, 333, 4671, 4973, 284, 1911, 271, 2676, 8999, 9078, 739, 815, 2040, 10857, 739, 4297, 4939, 285, 14999, 2426, 4981, 4939, 285, 14999, 332, 583, 622, 9217, 815, 694, 336, 318, 531, 784, 263, 5503, 11723, 311, 26013, 2203, 269, 9795, 263, 349, 14683, 318, 754, 267, 1239, 284, 323, 2020, 16330, 12774, 26013, 1592, 18692, 333, 284, 333, 992, 11583, 13211, 335, 284, 333, 3712, 11583, 13211, 311, 284, 311, 2676, 333, 4671, 4973, 284, 323, 259, 333, 4671, 4973, 267, 4503, 284, 323, 259, 331, 739, 2676, 5503, 284, 323, 259, 5503, 267, 2040, 9078, 739, 815, 546, 259, 8999, 9078, 739, 454, 2020, 16347, 26013, 4699, 323, 16330, 337, 15311, 9492, 323, 16330, 31200, 3488, 338, 321, 326, 318, 2958, 1833, 14714, 534, 17210, 577, 1622, 26013, 6252, 15311, 323, 25018, 290, 2803, 4590, 7257, 26013, 2203, 15478, 338, 2217, 263, 16330, 12774, 267, 6252, 15220, 1622, 815, 11800, 267, 29295, 815, 476, 271, 994, 305, 7342, 14330, 10157, 609, 476, 275, 11800, 267, 693, 1034, 476, 1015, 538, 6252, 13718, 2419, 664, 476, 272, 8737, 538, 476, 271, 269, 273, 7643, 563, 2419, 664, 476, 273, 8737, 538, 476, 271, 269, 273, 7643, 563, 2419, 664, 476, 274, 8737, 538, 476, 271, 269, 273, 7643, 563, 2419, 664, 476, 275, 8737, 538, 476, 271, 269, 273, 7643, 780, 5472, 476, 275, 11800, 8737, 6707, 563, 13614, 5832, 11056, 942, 281, 476, 271, 269, 273, 7643, 563, 13707, 11056, 942, 281, 476, 271, 269, 274, 7643, 563, 24927, 454, 7257, 4939, 285, 14999, 11743, 318, 336, 328, 4939, 285, 14999, 3847, 19553, 7765, 5560, 264, 4939, 285, 14999, 1375, 7120, 3890, 30492, 613, 558, 318, 4812, 5416, 525, 263, 5503, 267, 17005, 267, 2681, 284, 322, 2396, 518, 4297, 30492, 613, 558, 318, 1467, 5416, 525, 263, 5503, 267, 476, 1911, 271, 265, 1410, 4624, 5334, 584, 341, 1516, 267, 2681, 284, 322, 2396, 518, 4297, 30492, 613, 558, 318, 1026, 2548, 5416, 525, 263, 5503, 267, 476, 1911, 271, 265, 1410, 4624, 5334, 584, 341, 1516, 267, 586, 2381, 815, 476, 1911, 271, 29688, 12294, 267, 586, 10946, 815, 476, 1911, 271, 29688, 21639, 267, 6445, 284, 322, 2396, 518, 1070, 13672, 815, 476, 271, 269, 1839, 264, 30492, 5408, 15311, 339, 22351, 318, 19640, 3890, 30492, 2643, 574, 6262, 263, 271, 267, 476, 1911, 271, 4297, 30492, 2643, 629, 3488, 20578, 619, 18984, 1516, 10807, 30492, 343, 18350, 3488, 11742, 10807, 30492, 5408, 15311, 339, 22351, 318, 19640, 3890, 30492, 339, 22351, 263, 553, 1051, 269, 7806, 1470, 815, 476, 272, 270, 272, 269, 8618, 2676, 3966, 601, 26942, 6230, 1994, 815, 3693, 318, 1467, 28829, 30492, 29173, 318, 10233, 318, 3691, 4546, 9638, 531, 8291, 815, 1412, 13729, 272, 10807, 30492, 29173, 6958, 650, 318, 3691, 4546, 9638, 531, 8291, 815, 1412, 13729, 272, 17210, 258, 22108, 692, 293, 14575, 267, 8834, 590, 1421, 543, 23745, 717, 306, 10434, 773, 269, 968, 1692, 547, 1788, 6075, 12802, 1848, 4750, 540, 20308, 16373, 476, 2641, 269, 272, 630, 1220, 278, 2567, 476, 10602, 268, 3445, 269, 0, 266, 271, 692, 258, 623, 11862, 670, 5085, 303, 6789, 4338, 692, 271, 454, 15221, 454, 273, 692, 8340, 519, 1871, 540, 1269, 333, 259, 602, 25389, 1269, 273, 3799, 266, 272, 25631, 266, 277, 333, 256, 284, 274, 3799, 266, 272, 25631, 8961, 1141, 1269, 333, 256, 815, 562, 24206, 630, 333, 268, 272, 9385, 10383, 630, 333, 268, 273, 264, 1422, 26984, 476, 273, 24206, 476, 272, 16859, 15037, 476, 1724, 267, 476, 1708, 272, 692, 258, 272, 454, 266, 6344, 14862, 454, 266, 273, 692, 273, 630, 562, 266, 476, 272, 264, 8206, 1109, 476, 1109, 266, 1109, 476, 277, 333, 256, 1109, 476, 1109, 284, 1109, 476, 274, 630, 562, 1341, 476, 272, 264, 2439, 9616, 1109, 602, 1109, 630, 1109, 562, 1341, 476, 272, 25631, 815, 1109, 5231, 630, 333, 1341, 476, 272, 264, 2608, 562, 2439, 3383, 692, 273, 630, 333, 1341, 476, 272, 264, 2608, 562, 256, 1109, 5231, 1341, 1109, 476, 277, 333, 256, 1109, 815, 1109, 476, 274, 630, 333, 1341, 476, 272, 264, 2608, 562, 256, 1109, 14632, 5231, 7941, 856, 1109, 562, 2439, 273, 630, 562, 1341, 476, 272, 264, 1109, 1341, 1109, 476, 1109, 277, 1109, 815, 1109, 476, 274, 630, 562, 1341, 476, 272, 264, 1109, 7545, 5231, 14458, 692, 273, 333, 1341, 476, 273, 1109, 1341, 1109, 476, 277, 815, 1109, 476, 274, 333, 1109, 1341, 1109, 476, 274, 692, 279, 815, 1109, 562, 1341, 1109, 476, 274, 692, 279, 1109, 910, 476, 274, 1109, 476, 1109, 284, 562, 1109, 815, 1109, 476, 1109, 276, 692, 15037, 476, 1724, 267, 476, 1708, 272, 692, 258, 272, 454, 266, 6344, 14862, 454, 266, 273, 692, 273, 630, 562, 266, 476, 272, 264, 8206, 1109, 476, 1109, 266, 1109, 476, 277, 333, 256, 1109, 476, 1109, 284, 1109, 476, 274, 630, 562, 1341, 476, 272, 264, 2439, 9616, 1109, 602, 1109, 630, 1109, 562, 1341, 476, 272, 25631, 815, 1109, 5231, 630, 333, 1341, 476, 272, 264, 2608, 562, 2439, 3383, 692, 273, 630, 333, 1341, 476, 272, 264, 2608, 562, 256, 1109, 5231, 1341, 1109, 476, 277, 333, 256, 1109, 815, 1109, 476, 274, 630, 333, 1341, 476, 272, 264, 2608, 562, 256, 1109, 14632, 5231, 7941, 856, 1109, 562, 2439, 273, 630, 562, 1341, 476, 272, 264, 1109, 1341, 1109, 476, 1109, 277, 1109, 815, 1109, 476, 274, 630, 562, 1341, 476, 272, 264, 1109, 7545, 5231, 14458, 692, 273, 333, 1341, 476, 273, 1109, 1341, 1109, 476, 277, 815, 1109, 476, 274, 333, 1109, 1341, 1109, 476, 274, 692, 279, 815, 1109, 562, 1341, 1109, 476, 274, 692, 279, 1109, 910, 476, 274, 1109, 476, 1109, 284, 562, 1109, 815, 1109, 476, 1109, 276, 692, 290, 4942, 650, 1109, 15037, 476, 1724, 267, 476, 1708, 272, 454, 258, 273, 454, 266, 13647, 278, 4375, 454, 271, 692, 12552, 18281, 692, 21801, 476, 272, 267, 476, 1708, 272, 0, 258, 3503, 519, 4082, 607, 20534, 267, 25482, 267, 610, 17242, 540, 606, 5086, 269, 2496, 4692, 2576, 5225, 3802, 803, 998, 519, 3268, 593, 875, 547, 2328, 5609, 263, 280, 343, 264, 6523, 3287, 9984, 6523, 263, 280, 343, 264, 7562, 3287, 264, 607, 20534, 267, 25482, 267, 610, 17242, 286, 594, 6415, 3257, 513, 2259, 1449, 865, 594, 2731, 1810, 1405, 1616, 1175, 519, 2626, 267, 594, 1616, 547, 2965, 917, 875, 547, 798, 621, 267, 594, 5660, 1022, 948, 13718, 7562, 263, 1015, 343, 2020, 6523, 263, 279, 343, 2020, 7562, 263, 279, 343, 2020, 6523, 263, 1015, 343, 2020, 1892, 18564, 621, 20998, 835, 540, 519, 2040, 1673, 29924, 12596, 780, 7562, 5416, 1341, 25773, 536, 264, 815, 5609, 5416, 264, 6523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8758, 618, 10657, 630, 16898, 994, 10907, 1061, 766, 543, 7029, 3797, 630, 16898, 264, 568, 606, 2962, 15129, 1935, 547, 21911, 602, 11710, 689, 2757, 7180, 3797, 543, 5042, 24040, 3797, 269, 898, 2337, 7218, 13789, 811, 9846, 609, 741, 2418, 543, 4019, 11009, 543, 10343, 1983, 538, 741, 6114, 547, 796, 19055, 762, 2833, 269, 1849, 1801, 1451, 547, 3247, 9319, 267, 27102, 267, 543, 10010, 609, 741, 6418, 4664, 543, 267, 3079, 267, 3398, 602, 891, 4514, 4606, 616, 3617, 6114, 547, 1978, 3871, 602, 1058, 711, 2061, 873, 689, 3001, 4464, 538, 741, 2729, 269, 2060, 713, 1620, 267, 7218, 2253, 547, 3398, 741, 2152, 543, 23434, 543, 3479, 547, 1818, 562, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 4937, 1315, 7763, 643, 1049, 19877, 532, 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, 3408, 540, 14076, 1584, 7206, 256, 1411, 1522, 581, 11842, 267, 1018, 4010, 616, 14076, 1584, 10367, 286, 4270, 267, 789, 616, 4190, 543, 6946, 1568, 540, 1148, 2813, 676, 519, 14076, 1584, 338, 267, 945, 941, 513, 1895, 540, 17710, 538, 3127, 1082, 1296, 3516, 269, 1452, 10367, 666, 2995, 721, 865, 1454, 827, 741, 2528, 267, 2984, 267, 543, 2418, 269, 1924, 1577, 781, 4685, 1318, 883, 621, 2439, 5575, 267, 1577, 781, 979, 1394, 538, 942, 547, 950, 891, 10367, 941, 1500, 269, 4107, 14076, 1584, 10367, 941, 2813, 1063, 519, 476, 1626, 628, 543, 476, 866, 628, 5553, 269, 4438, 713, 1974, 267, 972, 941, 1082, 1507, 25267, 12199, 676, 14076, 1584, 15438, 2066, 7187, 543, 3844, 3127, 269, 3962, 10806, 1185, 922, 1378, 2189, 2511, 540, 7206, 267, 15386, 1114, 4798, 543, 2553, 269, 27355, 1405, 621, 4241, 602, 1142, 3148, 2919, 922, 1378, 7499, 4082, 2496, 3086, 267, 596, 949, 4898, 267, 1018, 2186, 540, 5396, 1705, 14076, 1584, 26719, 3442, 286, 1358, 1419, 11609, 10207, 689, 9699, 13299, 267, 12473, 9954, 267, 543, 1256, 23609, 540, 741, 15438, 543, 30842, 269, 5994, 1373, 2111, 547, 1294, 1018, 707, 5172, 5869, 610, 5601, 6743, 899, 1759, 593, 875, 5159, 16545, 873, 256, 3509, 540, 891, 10367, 849, 13269, 11509, 8941, 540, 18798, 267, 12959, 1063, 12325, 267, 543, 2470, 4904, 609, 2831, 543, 2371, 269, 898, 781, 3592, 899, 19480, 883, 513, 9589, 1158, 2407, 540, 7045, 543, 5898, 2439, 3080, 1271, 2460, 540, 14076, 1584, 7206, 568, 922, 7524, 4778, 269, 20551, 1031, 2067, 2326, 899, 16760, 10007, 267, 6886, 267, 543, 10475, 21889, 547, 1711, 23416, 269, 1280, 1383, 267, 4154, 543, 8988, 941, 3006, 2666, 883, 8869, 547, 1039, 8141, 548, 543, 17195, 547, 519, 11247, 269, 2052, 596, 4952, 2348, 5862, 1500, 856, 540, 1483, 717, 5357, 291, 286, 2334, 1590, 723, 1500, 519, 10367, 1413, 5963, 9058, 2439, 4131, 803, 2671, 930, 1883, 2934, 602, 948, 721, 5431, 14076, 1584, 10367, 1384, 272, 269, 2878, 14503, 520, 5624, 4995, 5502, 540, 3843, 547, 1711, 3178, 899, 2413, 1148, 1281, 267, 14076, 1584, 26719, 9053, 1210, 6366, 2127, 540, 2681, 269, 901, 3947, 741, 960, 513, 10058, 1413, 563, 273, 269, 2878, 289, 1245, 3515, 4995, 4934, 6050, 1472, 5515, 543, 3615, 616, 3833, 1455, 538, 14076, 1584, 10367, 269, 6056, 540, 621, 899, 11516, 4221, 1354, 11423, 538, 4778, 1107, 1152, 1934, 267, 1346, 25780, 18423, 7298, 2336, 274, 269, 2878, 303, 16993, 543, 18305, 4995, 6733, 5702, 693, 7802, 267, 14446, 267, 543, 4282, 2609, 282, 596, 786, 1265, 17681, 3270, 4946, 1469, 543, 25894, 780, 3383, 267, 1946, 568, 1620, 14076, 1584, 7206, 1898, 585, 721, 2221, 286, 1635, 4974, 891, 26620, 267, 649, 1451, 811, 827, 1272, 1282, 519, 942, 540, 519, 14076, 1584, 338, 1107, 741, 4978, 267, 4690, 267, 543, 3232, 13467, 269, 9578, 267, 3168, 693, 971, 27610, 4773, 2636, 721, 547, 5660, 519, 3638, 2686, 6561, 540, 3127, 269, 1656, 945, 6487, 286, 9320, 835, 1554, 9358, 1223, 1831, 6273, 547, 1711, 1945, 8449, 15999, 2439, 1103, 3932, 267, 3695, 14076, 1584, 7206, 10741, 9885, 547, 606, 6909, 1158, 540, 9345, 267, 5578, 267, 543, 3140, 5813, 269, 1306, 596, 3136, 1565, 827, 1585, 6575, 2429, 5664, 3427, 267, 3314, 602, 1169, 4062, 6645, 513, 1650, 7996, 547, 581, 4362, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 11000, 729, 9447, 607, 851, 540, 519, 476, 277, 628, 5993, 3778, 585, 13458, 10554, 11331, 1412, 763, 22830, 540, 22640, 262, 799, 729, 18799, 538, 918, 13083, 1092, 998, 4864, 476, 275, 267, 476, 276, 267, 543, 476, 277, 267, 476, 1708, 273, 563, 7069, 2911, 2221, 568, 6131, 547, 519, 3965, 540, 606, 17134, 656, 618, 269, 594, 1131, 899, 547, 21523, 576, 1360, 13713, 593, 875, 607, 606, 5216, 4458, 6040, 3395, 909, 538, 713, 1360, 2749, 540, 918, 13083, 1092, 594, 8593, 538, 2648, 609, 3504, 4095, 1686, 269, 901, 729, 1175, 936, 1079, 5756, 1310, 519, 1032, 476, 3707, 278, 269, 1703, 729, 1100, 632, 14390, 540, 32742, 538, 4095, 1153, 13460, 269, 1717, 267, 607, 1453, 649, 941, 849, 14376, 547, 2992, 593, 519, 25196, 543, 1686, 540, 519, 1016, 29657, 267, 547, 2119, 543, 5660, 519, 5318, 1145, 543, 6988, 540, 519, 3677, 2055, 540, 1686, 602, 2482, 3297, 519, 4395, 7371, 19991, 540, 519, 4182, 269, 2368, 540, 519, 1482, 2055, 543, 2591, 2611, 2221, 269, 1215, 798, 649, 4001, 519, 1686, 540, 3127, 602, 568, 711, 3274, 519, 1686, 540, 9518, 3949, 543, 9396, 1846, 267, 540, 23602, 543, 17485, 619, 267, 610, 540, 16080, 11107, 8957, 1202, 11107, 286, 594, 723, 1044, 3450, 4095, 1686, 1631, 585, 936, 13977, 586, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 1690, 1584, 27006, 257, 607, 851, 540, 834, 11286, 1315, 7489, 1315, 4095, 1299, 3162, 7489, 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, 22383, 1299, 18753, 26358, 910, 3427, 5020, 1315, 28527, 6361, 5025, 613, 12267, 692, 8702, 547, 519, 1158, 540, 14676, 543, 8642, 9089, 256, 1452, 5749, 1405, 1175, 15705, 2984, 15042, 282, 789, 666, 849, 2995, 7184, 3001, 8941, 827, 3395, 909, 267, 6849, 2591, 267, 543, 4466, 835, 781, 1747, 538, 519, 1158, 269, 901, 1576, 786, 6338, 596, 547, 930, 5140, 4947, 6361, 21943, 2984, 1305, 538, 1153, 267, 782, 4843, 538, 519, 10477, 267, 6422, 3898, 540, 14676, 543, 8642, 9089, 269, 2913, 781, 4685, 883, 891, 9735, 6386, 602, 9192, 1148, 543, 3332, 547, 1711, 20605, 2833, 2439, 6637, 476, 272, 281, 1548, 616, 22383, 543, 18753, 26358, 888, 4467, 923, 616, 9696, 540, 2592, 267, 2356, 5916, 609, 1913, 267, 602, 1927, 6655, 513, 1650, 269, 1358, 2097, 538, 1585, 3029, 1765, 2908, 4944, 1653, 17446, 267, 13371, 2835, 267, 610, 3476, 12043, 1634, 607, 8642, 9089, 269, 9521, 2757, 18340, 267, 14676, 946, 3308, 2609, 971, 607, 8440, 267, 5133, 267, 5163, 3515, 267, 543, 11132, 7215, 547, 948, 2995, 741, 2984, 780, 6637, 476, 273, 281, 10289, 3427, 5020, 3414, 22383, 454, 6624, 15888, 723, 5828, 547, 14676, 543, 8642, 9089, 607, 513, 1259, 547, 2263, 519, 10848, 540, 15730, 1272, 1369, 519, 2796, 540, 3506, 269, 3245, 10188, 17052, 543, 804, 2294, 547, 7231, 609, 13032, 625, 267, 4081, 12503, 267, 543, 2123, 2208, 267, 891, 2984, 13469, 609, 1082, 3344, 540, 1647, 30595, 262, 2729, 780, 7078, 281, 3911, 850, 676, 14175, 320, 20052, 613, 1889, 1512, 1107, 901, 8366, 20421, 8642, 3209, 5205, 15795, 3766, 571, 1457, 14175, 320, 998, 1200, 31341, 6681, 3460, 1310, 9561, 1200, 1079, 4395, 4522, 538, 606, 8009, 269, 1546, 2718, 609, 25329, 267, 8695, 267, 543, 1582, 22523, 267, 14175, 320, 16137, 3407, 4245, 827, 11505, 543, 10343, 1282, 1200, 1647, 1153, 1296, 780, 6637, 476, 274, 281, 10886, 4886, 538, 28527, 6361, 5025, 613, 12267, 454, 23338, 547, 1022, 4947, 6361, 21943, 9661, 568, 1915, 1646, 269, 5019, 6782, 1235, 3068, 9465, 543, 1332, 2429, 519, 1650, 267, 1565, 1898, 1983, 543, 11543, 7326, 2059, 519, 1259, 269, 1635, 11287, 875, 3197, 1689, 543, 11457, 267, 649, 1522, 1732, 1174, 6000, 543, 1346, 1472, 721, 780, 7078, 281, 30765, 676, 14175, 320, 20052, 613, 1889, 1512, 1107, 11910, 773, 14560, 14364, 855, 9620, 609, 3942, 19225, 950, 3843, 856, 585, 2694, 269, 1306, 1352, 1568, 1394, 560, 720, 593, 519, 5036, 543, 24853, 267, 1352, 12374, 6015, 1247, 5104, 31227, 5880, 1127, 267, 15180, 1845, 267, 543, 824, 6093, 1647, 1153, 21140, 780, 6637, 476, 275, 281, 3203, 2065, 9828, 13242, 538, 27884, 454, 1103, 1840, 547, 1603, 267, 5159, 2308, 1896, 2553, 547, 3986, 9423, 538, 14676, 543, 8642, 9089, 269, 13368, 532, 267, 533, 5217, 267, 543, 8470, 29282, 3391, 3988, 998, 1142, 6429, 267, 4543, 873, 9787, 4664, 543, 3527, 3533, 269, 7822, 5079, 543, 27864, 1764, 7099, 543, 5790, 269, 4634, 4484, 532, 5540, 519, 2095, 540, 5188, 543, 3061, 687, 780, 12244, 281, 21302, 513, 8525, 1107, 7994, 513, 2985, 689, 2901, 3911, 850, 610, 30765, 630, 528, 1776, 2085, 29003, 8642, 3209, 264, 543, 2736, 621, 1524, 883, 922, 3334, 269, 10576, 1114, 7499, 2409, 1031, 547, 6655, 1344, 267, 7553, 267, 543, 10605, 269, 9523, 707, 4681, 609, 15032, 780, 6637, 476, 276, 281, 12861, 2659, 13574, 22387, 8566, 1429, 545, 23397, 454, 3086, 602, 596, 4312, 8268, 519, 9135, 1577, 781, 2119, 2870, 707, 1378, 9910, 3766, 1429, 545, 3209, 269, 10312, 593, 513, 11541, 1995, 610, 4161, 5185, 1282, 1647, 1153, 269, 2422, 3617, 25194, 267, 533, 5217, 267, 543, 3929, 4082, 547, 3142, 707, 1650, 547, 1272, 11617, 269, 5457, 267, 2259, 2306, 3501, 2439, 6962, 281, 2561, 21090, 585, 519, 5295, 540, 22383, 543, 18753, 26358, 454, 9961, 1686, 267, 14676, 543, 8642, 9089, 723, 7960, 3564, 2241, 9913, 269, 2060, 3638, 6386, 267, 7524, 11247, 267, 543, 8076, 6041, 540, 3309, 5380, 267, 891, 23447, 2709, 2189, 4030, 883, 8471, 1480, 2833, 269, 1924, 1985, 942, 2576, 3946, 596, 513, 13371, 1433, 267, 3314, 602, 972, 949, 581, 1454, 811, 982, 10742, 519, 3750, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 1906, 2395, 3516, 267, 649, 9307, 519, 5305, 540, 938, 2027, 4183, 593, 519, 1283, 476, 1001, 274, 631, 26663, 21756, 7734, 609, 513, 5816, 2022, 10023, 938, 5172, 476, 1001, 274, 13847, 585, 7820, 3988, 269, 769, 2221, 781, 2022, 267, 649, 2811, 15386, 8938, 540, 519, 9735, 8004, 268, 11391, 1077, 532, 512, 1048, 543, 7141, 2835, 5950, 713, 2250, 1032, 2336, 5978, 5542, 2934, 1007, 4589, 607, 1134, 607, 13059, 3283, 267, 543, 1312, 1796, 17038, 821, 2835, 543, 12531, 540, 930, 540, 938, 1283, 631, 26663, 21756, 3126, 269, 3143, 2339, 1018, 707, 631, 26663, 21756, 21593, 2542, 267, 1352, 3580, 1265, 1945, 547, 26675, 1200, 1934, 2336, 8170, 1576, 267, 713, 568, 1175, 513, 1507, 3732, 540, 519, 1082, 8748, 2835, 5950, 538, 476, 1001, 274, 269, 715, 5535, 532, 1524, 938, 29202, 729, 5963, 16602, 267, 865, 596, 2811, 2386, 547, 3605, 811, 1390, 10643, 538, 938, 2347, 476, 1001, 274, 631, 26663, 21756, 7734, 563, 4517, 267, 952, 596, 9364, 899, 547, 3605, 811, 2487, 13847, 588, 18732, 631, 26663, 21989, 267, 2638, 856, 938, 5180, 5346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]