Search is not available for this dataset
input_ids
sequence
token_type_ids
sequence
attention_mask
sequence
[ 328, 8, 316, 263, 165, 3717, 3418, 1800, 1608, 58, 58, 1040, 20, 19, 1292, 725, 453, 670, 1621, 2057, 197, 2313, 222, 1033, 264, 2276, 1897, 1093, 1037, 1609, 3238, 1304, 1738, 54, 1354, 1397, 861, 133, 1050, 343, 1294, 185, 2651, 3256, 2421, 35, 1367, 1045, 3080, 3137, 347, 53, 73, 1810, 481, 58, 1990, 3393, 2121, 2348, 37, 102, 212, 501, 263, 569, 3848, 214, 3526, 1370, 2200, 1246, 225, 836, 328, 3, 2, 529, 3277, 1810, 3147, 1702, 2410, 2415, 2414, 2154, 3575, 1529, 618, 2429, 1301, 3826, 3704, 2593, 889, 3090, 1500, 704, 1343, 1133, 2544, 2453, 1490, 2601, 2294, 2421, 3317, 3116, 3446, 2117, 1737, 851, 1450, 3170, 1397, 3686, 3138, 1976, 308, 2469, 2088, 2469, 4014, 270, 2098, 1278, 1989, 200, 3149, 1245, 1402, 1566, 1079, 1294, 1191, 478, 55, 1516, 3291, 825, 972, 3411, 1618, 2423, 265, 3426, 3104, 271, 48, 1403, 26, 2408, 1130, 758, 646, 906, 2155, 181, 37, 234, 3272, 412, 2695, 926, 299, 1450, 1225, 806, 3585, 1147, 2028, 2476, 3283, 444, 1823, 2648, 1900, 1262, 3683, 229, 2716, 1515, 2086, 3080, 950, 1387, 3177, 3363, 358, 1381, 88, 2394, 264, 2471, 602, 411, 567, 581, 3938, 1879, 2506, 392, 2158, 1845, 410, 199, 464, 3819, 202, 3743, 1429, 1536, 585, 1514, 2202, 2410, 2149, 1401, 374, 265, 1613, 950, 2166, 1062, 1271, 38, 1367, 3290, 1461, 218, 440, 25, 2716, 2587, 1478, 3696, 1450, 3290, 1391, 3139, 1190, 2409, 2209, 197, 3469, 3272, 104, 789, 198, 3175, 295, 14, 1378, 776, 3223, 2245, 222, 1679, 1385, 1125, 1806, 488, 1831, 1042, 1319, 1847, 476, 2341, 3077, 54, 1745, 1482, 3196, 1393, 3145, 1545, 1420, 357, 3298, 1148, 1482, 2013, 657, 1440, 3421, 3653, 3293, 21, 1421, 2081, 3269, 3893, 3461, 589, 2055, 343, 1290, 3080, 1333, 2142, 3141, 1868, 171, 1310, 1760, 1522, 1630, 2642, 1633, 1802, 2250, 2523, 109, 3656, 1029, 3589, 561, 2054, 2822, 3313, 115, 114, 38, 2065, 3112, 773, 411, 1290, 1809, 47, 2181, 1802, 54, 1799, 1351, 171, 1909, 2104, 721, 11, 1233, 281, 2665, 219, 1592, 776, 834, 941, 3146, 1612, 1765, 98, 26, 1540, 2794, 1641, 925, 3638, 537, 3081, 1306, 1057, 3292, 100, 3152, 3537, 245, 517, 1528, 197, 2565, 245, 785, 779, 824, 2027, 1913, 400, 1461, 3162, 1097, 3034, 264, 3137, 3969, 789, 3290, 3709, 1580, 1930, 3588, 1611, 1418, 1908, 682, 1630, 3926, 1846, 117, 1310, 2005, 1250, 539, 1877, 289, 1373, 1844, 2054, 27, 773, 1638, 1641, 1098, 565, 1045, 161, 356, 2149, 3324, 1238, 2185, 1480, 201, 3208, 1397, 1112, 2407, 3077, 3080, 5, 3153, 1096, 1110, 3592, 1305, 70, 1402, 1626, 1545, 1371, 106, 1626, 2310, 3333, 2120, 1036, 1369, 2166, 1502, 2651, 2361, 1222, 2315, 1158, 2504, 204, 3364, 2642, 430, 1380, 1380, 2127, 1811, 3340, 1570, 3961, 490, 1182, 87, 2647, 1614, 2396, 1367, 153, 3191, 1641, 3409, 1054, 106, 3346, 3909, 892, 1893, 604, 60, 3194, 2413, 2524, 1138, 1317, 2540, 1369, 325, 1017, 298, 465, 5, 198, 2315, 1161, 444, 1891, 1259, 3494, 1321, 379, 1828, 3094, 801, 177, 3926, 3980 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3866, 2244, 818, 362, 2398, 1574, 1116, 1782, 1853, 1914, 461, 1849, 181, 1592, 2154, 2103, 88, 3964, 1578, 1809, 1375, 818, 1542, 458, 1231, 305, 2314, 1305, 348, 3461, 518, 776, 344, 1807, 3550, 2165, 794, 3834, 1289, 182, 2390, 952, 2695, 3689, 2018, 3859, 1557, 2380, 2424, 1371, 1554, 1621, 3127, 2070, 1818, 278, 2054, 3099, 1094, 34, 1354, 2453, 57, 1373, 1378, 1380, 1674, 2138, 1797, 267, 3421, 905, 1103, 1385, 429, 518, 311, 390, 1569, 2582, 3949, 1850, 1623, 1386, 3451, 480, 1563, 1335, 414, 1354, 1305, 1084, 3637, 197, 3125, 2155, 2009, 2347, 1370, 1370, 1367, 89, 1077, 1302, 3565, 1530, 1424, 2016, 3484, 1149, 2628, 1932, 132, 50, 3951, 3572, 2244, 2787, 2470, 1155, 332, 1031, 1089, 1825, 1609, 171, 6, 2106, 2460, 1932, 2085, 3549, 78, 1314, 3162, 2192, 154, 2683, 2121, 216, 1205, 293, 3301, 149, 1304, 901, 535, 470, 3978, 91, 527, 2504, 534, 486, 482, 3425, 3446, 1318, 1387, 198, 1575, 3349, 1124, 353, 369, 12, 481, 1543, 3806, 3217, 261, 1910, 522, 155, 1667, 1750, 135, 3950, 621, 326, 3386, 643, 2276, 1969, 3917, 1049, 69, 1417, 1145, 150, 1530, 1557, 655, 1397, 794, 1252, 3499, 86, 58, 1244, 11, 1622, 1429, 340, 2869, 70, 521, 293, 2266, 1237, 843, 1575, 851, 2710, 1099, 400, 1997, 355, 1074, 3238, 2572, 837, 534, 2151, 1609, 2912, 2400, 3675, 2069, 344, 4047, 1045, 3234, 3013, 2586, 3545, 1873, 585, 328, 2124, 1814, 3428, 214, 521, 3474, 3541, 41, 3449, 457, 1372, 2257, 2565, 2074, 2831, 44, 152, 602, 1111, 354, 1331, 53, 327, 3914, 25, 53, 3077, 1037, 32, 1369, 334, 3458, 154, 1248, 462, 1378, 41, 469, 1292, 146, 325, 1290, 1050, 1298, 1477, 3454, 284, 1063, 5, 1653, 504, 1748, 777, 8, 364, 3101, 3894, 1819, 2398, 2477, 2396, 345, 3077, 2017, 1342, 419, 1558, 2590, 2757, 28, 3562, 2442, 1541, 2598, 1136, 2401, 2447, 645, 1551, 182, 1190, 1376, 109, 410, 2054, 3354, 2409, 3545, 3057, 1388, 3852, 394, 1190, 1371, 2860, 113, 1784, 95, 110, 278, 696, 2396, 3034, 1736, 3569, 1393, 859, 3369, 1386, 278, 2661, 2886, 1820, 537, 3361, 1292, 289, 1340, 373, 1594, 2378, 1097, 1814, 3078, 150, 1884, 446, 273, 1402, 1380, 1354, 3304, 1425, 3146, 1485, 3447, 58, 1273, 4078, 3553, 3553, 803, 200, 346, 3459, 341, 3100, 1857, 75, 83, 598, 290, 1250, 3548, 1484, 346, 1413, 898, 3114, 1558, 1188, 1803, 24, 1525, 2024, 313, 3317, 1569, 1301, 476, 1447, 1112, 653, 2531, 1804, 1119, 1386, 3676, 1434, 2456, 3621, 3930, 3491, 1799, 2038, 3445, 3402, 2537, 650, 2386, 3707, 234, 1998, 3483, 210, 1608, 3223, 967, 2488, 2340, 3692, 261, 364, 2490, 1431, 271, 1553, 2001, 4061, 3121, 1365, 2697, 2383, 2895, 2956, 906, 2235, 489, 1820, 2532, 1380, 3453, 1886, 1306, 2932, 781, 1933, 3744, 1233, 868, 521, 349, 898, 3949, 1868, 2686, 1948, 3930, 1610, 1626, 2155, 2397, 1541, 809, 1719, 2110, 613, 2653, 3522, 3912, 1801, 1626, 364, 1631, 516, 1609, 1541, 202, 1063, 1285, 3930, 3452, 1273, 2147, 1526, 1362, 1939, 1401, 2590, 2696, 1373, 3462, 4058 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3866, 3318, 3098, 3498, 3422, 134, 1318, 395, 2130, 1390, 610, 2413, 2134, 1374, 2046, 1529, 1124, 1634, 1440, 1923, 1992, 751, 822, 2375, 2142, 1544, 1507, 1864, 1150, 431, 106, 3382, 2114, 1180, 2437, 138, 362, 53, 29, 91, 891, 2390, 2428, 1274, 2387, 288, 1954, 347, 1171, 2146, 3910, 2942, 1384, 805, 559, 2488, 20, 2142, 946, 1373, 1316, 65, 3126, 3975, 846, 2026, 3781, 1358, 2186, 3192, 2321, 3237, 3491, 1565, 2010, 3694, 3457, 1661, 2934, 1133, 1308, 1669, 2043, 406, 4088, 3476, 3492, 2412, 1301, 2142, 92, 1506, 731, 1306, 3239, 1644, 1494, 1687, 2393, 407, 868, 2173, 514, 2427, 2506, 2156, 453, 1387, 2326, 626, 1924, 2098, 1308, 3738, 540, 2314, 472, 2001, 3173, 2306, 226, 2110, 3475, 1539, 314, 1378, 1036, 122, 3334, 12, 334, 3418, 524, 268, 1210, 1466, 3380, 1346, 4071, 2023, 683, 1900, 1733, 332, 786, 1809, 3207, 33, 169, 350, 1225, 2011, 2434, 360, 3920, 1612, 2574, 3178, 1374, 1367, 282, 1254, 2349, 478, 1625, 216, 3150, 2046, 3180, 1654, 1385, 1384, 155, 929, 1402, 1031, 1914, 1838, 2674, 402, 3234, 2398, 2032, 2401, 2176, 118, 3650, 297, 1386, 300, 481, 1270, 2507, 2393, 1627, 2506, 1945, 1302, 1946, 1401, 603, 2698, 1349, 1913, 4003, 117, 2065, 1505, 1989, 2104, 2113, 602, 289, 1562, 1953, 1079, 1834, 2554, 1834, 2179, 3863, 4065, 2020, 3099, 393, 1442, 2997, 606, 925, 3738, 1125, 1887, 3665, 1057, 1430, 414, 776, 4053, 2126, 3670, 2052, 798, 1977, 794, 1111, 2529, 1389, 1118, 2522, 1378, 2299, 1804, 1064, 81, 1898, 1644, 284, 2249, 2725, 1675, 954, 1161, 1797, 734, 348, 1690, 1801, 1982, 2575, 1709, 1529, 1031, 3883, 91, 1877, 2111, 1802, 673, 2050, 3489, 1605, 3609, 1844, 1693, 474, 1622, 2708, 45, 2020, 3421, 3673, 155, 350, 2398, 886, 474, 2185, 333, 1929, 2434, 3550, 2006, 1947, 1052, 1058, 1111, 1806, 1368, 642, 1740, 3221, 298, 1569, 3916, 1151, 261, 3714, 2044, 3714, 1315, 2693, 773, 3658, 1519, 1939, 1193, 246, 3972, 1884, 3428, 408, 2971, 508, 284, 482, 658, 1546, 1626, 2310, 1249, 977, 984, 357, 2150, 2398, 1437, 3989, 311, 1408, 3198, 293, 73, 1453, 1550, 2878, 2395, 1434, 1885, 2090, 460, 1442, 3146, 3930, 4058, 1434, 3932, 1799, 3206, 337, 3458, 3483, 1884, 297, 1478, 1606, 1402, 3676, 390, 3418, 410, 1562, 988, 4049, 460, 2273, 1561, 1575, 467, 2830, 3995, 1482, 3914, 3848, 713, 2549, 781, 1975, 673, 1120, 90, 1800, 3138, 3335, 1333, 2024, 3274, 1931, 329, 1979, 358, 3371, 104, 503, 2523, 479, 2187, 1692, 1292, 3708, 3332, 2394, 1931, 2607, 482, 1726, 3674, 2066, 1356, 3562, 2380, 57, 108, 2635, 2406, 1480, 357, 3652, 1038, 1374, 1883, 1479, 2457, 1680, 3406, 3168, 2654, 1386, 1930, 2505, 1366, 3450, 1954, 1116, 2250, 3692, 3846, 345, 219, 965, 199, 2021, 1398, 1418, 3971, 393, 1178, 2460, 3482, 1692, 1454, 2300, 3034, 1165, 1628, 601, 1543, 1626, 1558, 3116, 1386, 3422, 2586, 1098, 1114, 2451, 125, 3745, 2434, 2133, 3226, 1402, 12, 3367, 379, 907, 2198, 1036, 3461, 2513, 2303, 1510, 418, 850, 3418, 2684, 2833, 90, 1150, 2204, 2205, 2869, 858 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1130, 2143, 1500, 3421, 3553, 3668, 2582, 2384, 1009, 1418, 1444, 2602, 4088, 1386, 2023, 860, 3307, 2402, 3362, 145, 3643, 290, 3482, 2228, 3934, 1146, 3654, 163, 86, 3426, 1707, 6, 416, 3317, 718, 3398, 1990, 1629, 1883, 1933, 2678, 4003, 1398, 1622, 3454, 3457, 628, 2129, 108, 1117, 3605, 3694, 1925, 2484, 1594, 1690, 2584, 122, 3582, 1451, 333, 477, 1485, 2108, 3205, 22, 3531, 2346, 1052, 282, 1378, 418, 3173, 665, 502, 1400, 347, 42, 1406, 552, 3915, 294, 1867, 898, 518, 2264, 12, 138, 1460, 681, 2559, 1720, 697, 1491, 897, 2912, 3158, 428, 2685, 1554, 409, 1896, 2140, 283, 2772, 1030, 2917, 2387, 2418, 1363, 1798, 773, 2330, 1427, 2824, 1042, 353, 2132, 1828, 3033, 2241, 2317, 1659, 3269, 3852, 3899, 603, 1736, 3027, 237, 1610, 490, 2530, 1694, 602, 4059, 1437, 686, 3449, 1628, 3418, 3858, 1177, 1097, 1675, 164, 2407, 295, 1398, 3133, 1374, 1578, 3019, 3718, 1061, 394, 2224, 1389, 541, 172, 504, 668, 222, 1579, 1784, 1229, 993, 3077, 2091, 1733, 1829, 197, 218, 3530, 309, 1287, 833, 3542, 3532, 120, 1172, 1957, 966, 3859, 1997, 974, 4044, 2259, 2870, 2860, 1797, 1851, 397, 3138, 1445, 3590, 3964, 2085, 2147, 916, 428, 1549, 2773, 796, 1737, 860, 1307, 3, 2, 1797, 278, 1061, 5, 1549, 102, 3889, 371, 779, 2929, 714, 3101, 2020, 1494, 352, 3079, 418, 538, 2362, 1162, 3853, 12, 778, 1487, 725, 3305, 2147, 1034, 31, 3212, 1378, 3410, 1393, 147, 856, 2923, 1400, 3409, 924, 3352, 3921, 3170, 1749, 1073, 2837, 3947, 3274, 1409, 636, 522, 753, 479, 410, 96, 3803, 779, 890, 1630, 1797, 638, 865, 350, 2137, 3414, 1500, 1882, 1883, 3162, 1370, 1368, 2403, 938, 1376, 2325, 1302, 3171, 347, 2149, 90, 2246, 377, 2317, 5, 421, 2169, 2341, 3133, 5, 1141, 374, 2214, 92, 1589, 101, 708, 77, 2315, 220, 3250, 71, 432, 3965, 1375, 1686, 1514, 6, 1761, 3264, 1822, 1632, 2715, 2892, 904, 30, 1986, 2577, 2055, 3034, 738, 1066, 3413, 1595, 1547, 1354, 1432, 1413, 1905, 3117, 346, 1671, 1029, 3462, 2581, 3103, 213, 683, 2679, 3205, 5, 3335, 2671, 1641, 1098, 1067, 283, 286, 1414, 3789, 2056, 837, 2830, 1175, 23, 1369, 3365, 775, 58, 60, 458, 456, 85, 3339, 1409, 3530, 490, 3722, 1404, 3419, 1527, 1677, 57, 3135, 724, 473, 779, 667, 3154, 3147, 3035, 3547, 3295, 1512, 258, 763, 2689, 1666, 2631, 2915, 1639, 431, 67, 1794, 1763, 2241, 1823, 2460, 1803, 1555, 1483, 1545, 2565, 1409, 2340, 3573, 2394, 3355, 346, 3449, 1208, 41, 1946, 546, 1634, 220, 1061, 918, 3283, 26, 3425, 214, 218, 3413, 2058, 1862, 846, 3846, 3425, 1072, 3093, 1246, 1622, 1530, 1080, 713, 118, 1590, 1865, 180, 1417, 1530, 2844, 1093, 2810, 3274, 3936, 865, 92, 1435, 3459, 3281, 1692, 190, 1039, 2470, 3930, 3868, 138, 1710, 3274, 2040, 1902, 1039, 2583, 630, 2878, 2101, 3137, 3133, 3269, 2017, 263, 385, 789, 1445, 947, 1432, 40, 1437, 527, 479, 191, 700, 1451, 939, 1567, 1676, 3499, 3584, 1789, 45, 2145, 1693, 697, 31, 1642, 1803, 2630, 1455, 90, 3429, 459, 3374, 1482 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2911, 2846, 2910, 1112, 3479, 1784, 385, 520, 4007, 416, 2558, 472, 348, 2950, 2837, 3015, 651, 2251, 655, 102, 422, 3890, 2433, 2620, 1487, 2226, 1890, 2570, 3589, 2707, 1745, 379, 1478, 2337, 3469, 233, 1543, 1537, 3349, 3699, 913, 1373, 2345, 1805, 130, 507, 1289, 2535, 1467, 3351, 1428, 3401, 540, 2523, 2257, 222, 3034, 2139, 1668, 196, 2530, 495, 1132, 1463, 12, 2764, 796, 514, 1948, 100, 209, 249, 318, 1904, 1480, 1002, 2890, 312, 812, 2396, 2901, 3172, 2312, 985, 1300, 1935, 1018, 3848, 2572, 2588, 2443, 1291, 3113, 514, 1393, 3114, 1265, 358, 3372, 387, 2915, 1059, 1490, 1878, 2184, 2536, 796, 3678, 1684, 1060, 81, 1081, 501, 1990, 2401, 1622, 3300, 1037, 3334, 3355, 420, 40, 1407, 150, 1826, 1114, 1884, 1641, 1386, 3421, 1399, 937, 932, 1633, 525, 1477, 1633, 836, 2331, 812, 458, 2088, 1640, 2917, 1871, 461, 409, 1409, 3093, 1266, 1276, 2828, 958, 3479, 2527, 1120, 1834, 3021, 3932, 1698, 1372, 1341, 1372, 3929, 276, 523, 1879, 1132, 458, 740, 1642, 105, 3738, 218, 2074, 2439, 593, 4085, 642, 1441, 2425, 1578, 1874, 493, 1298, 1201, 222, 3093, 1562, 1674, 2503, 1534, 2386, 1169, 123, 1377, 154, 1355, 345, 1654, 3477, 1050, 3097, 1832, 2345, 1417, 1555, 2402, 1833, 3066, 1681, 2138, 2155, 1761, 3913, 3134, 546, 294, 2322, 41, 1482, 2530, 3354, 3553, 3618, 386, 92, 278, 1145, 3290, 2738, 2447, 1418, 285, 545, 219, 346, 1114, 1629, 1431, 2398, 1210, 3626, 2026, 1883, 354, 806, 1526, 3851, 2440, 229, 87, 548, 1452, 334, 1596, 2420, 993, 3077, 1954, 981, 2023, 1948, 1350, 3087, 9, 1911, 158, 15, 1045, 1125, 657, 250, 3105, 1626, 489, 26, 1188, 1563, 1370, 1052, 803, 1865, 1321, 3322, 1062, 476, 3100, 1252, 587, 382, 3194, 2434, 3782, 1652, 2153, 1400, 2390, 3818, 37, 838, 2135, 2260, 1060, 1390, 3434, 1754, 3689, 413, 34, 3463, 2665, 1370, 2907, 1542, 3535, 1251, 2914, 3417, 1594, 1828, 3897, 232, 3366, 1480, 284, 1996, 2126, 2022, 343, 213, 3686, 1288, 1820, 2397, 87, 3633, 221, 1753, 345, 1246, 351, 1498, 988, 2532, 1291, 2533, 1997, 242, 1891, 3995, 194, 493, 2508, 1205, 245, 3611, 2892, 6, 1210, 1532, 2406, 3907, 427, 2949, 2516, 425, 2193, 620, 900, 2309, 1427, 1828, 348, 1672, 2460, 1545, 2246, 1780, 1193, 2459, 1231, 2422, 3846, 63, 60, 1426, 1359, 1312, 3212, 41, 458, 317, 1577, 316, 1160, 2149, 1819, 1108, 1034, 356, 3534, 319, 1489, 1628, 207, 2408, 2340, 2148, 1492, 1029, 2409, 1626, 2422, 2264, 553, 352, 815, 345, 2309, 630, 1051, 1883, 988, 3863, 1865, 2451, 3275, 2154, 1375, 4005, 1131, 253, 1285, 3199, 1497, 3202, 2277, 603, 1454, 1646, 502, 2539, 1397, 620, 1370, 1177, 2973, 1818, 3609, 2302, 2157, 832, 3197, 3192, 1308, 3307, 133, 284, 3581, 3270, 2160, 4064, 1305, 2109, 1350, 3684, 2344, 137, 3986, 1421, 2297, 3280, 333, 2974, 3422, 926, 2429, 1574, 1946, 833, 1057, 600, 3226, 2885, 2400, 357, 42, 418, 1554, 1827, 3411, 438, 3103, 1554, 2439, 50, 524, 1516, 1322, 2348, 261, 2314, 429, 859, 550, 2083, 986, 1882, 2196, 187, 3189 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 416, 3358, 1917, 2893, 2171, 3883, 986, 1202, 3129, 3079, 264, 4082, 1882, 1891, 2917, 3948, 602, 837, 397, 1297, 823, 3521, 4037, 171, 2281, 2247, 3961, 444, 1084, 3849, 2147, 2168, 187, 1387, 1425, 2978, 277, 957, 1891, 1914, 1147, 3162, 1381, 3333, 1301, 3461, 3099, 86, 1580, 1122, 2350, 1445, 3765, 223, 69, 3426, 1877, 117, 30, 1526, 1879, 343, 346, 2423, 2089, 3526, 885, 13, 1884, 1121, 3365, 563, 1048, 582, 1034, 1722, 3159, 93, 333, 1847, 3131, 1043, 1138, 266, 725, 469, 1314, 725, 2189, 124, 965, 6, 501, 1288, 118, 3126, 3125, 3125, 3168, 1096, 574, 2265, 2022, 2542, 3120, 2881, 281, 3557, 2779, 2861, 3117, 3023, 3950, 2403, 191, 1799, 787, 3019, 1566, 769, 1668, 67, 2444, 3677, 611, 3392, 1672, 13, 711, 269, 583, 270, 719, 646, 1882, 1419, 474, 778, 1338, 1393, 465, 133, 133, 376, 2394, 1124, 1804, 1234, 1370, 1882, 1882, 3362, 3337, 96, 268, 614, 278, 1018, 1400, 477, 1498, 3228, 1944, 1410, 2446, 409, 1881, 1865, 2189, 2125, 1798, 1486, 1486, 1321, 2056, 96, 1373, 538, 1807, 26, 3137, 1377, 73, 27, 600, 564, 1403, 2107, 2189, 3994, 1941, 22, 529, 2691, 2643, 939, 361, 177, 364, 3424, 3432, 386, 1418, 2026, 2898, 2249, 2090, 1642, 1468, 568, 1921, 129, 1438, 1406, 97, 201, 1289, 3214, 2089, 22, 285, 1642, 517, 3592, 1882, 2394, 1289, 868, 318, 1410, 3134, 1499, 1800, 825, 822, 2146, 1045, 1154, 846, 1206, 593, 3178, 457, 21, 1973, 69, 3149, 908, 2176, 1541, 890, 460, 518, 3106, 617, 347, 286, 26, 1321, 283, 1812, 1109, 1376, 854, 1035, 3705, 290, 1302, 1401, 821, 26, 4089, 2313, 92, 1625, 3754, 1394, 2310, 3377, 85, 459, 1153, 2837, 1385, 3425, 1419, 3350, 594, 2566, 1861, 2580, 2120, 370, 2869, 1829, 2613, 3276, 978, 3654, 1236, 1813, 393, 73, 2797, 2460, 3425, 3422, 2425, 2899, 1159, 1485, 588, 2797, 2394, 1354, 3184, 1190, 1494, 1868, 2090, 2006, 2138, 3450, 3205, 3458, 109, 1122, 285, 2148, 1029, 3454, 5, 3294, 490, 358, 2054, 1381, 970, 3161, 1544, 1353, 144, 1999, 278, 2059, 10, 2570, 2075, 3912, 1303, 1874, 1109, 2822, 1314, 1477, 1338, 22, 3158, 1498, 730, 3612, 140, 1077, 1191, 534, 1352, 505, 141, 290, 261, 2437, 2823, 1349, 3519, 1306, 1142, 558, 3176, 1033, 2597, 1174, 1210, 2117, 1101, 1914, 1578, 1561, 3901, 3336, 1037, 291, 3576, 337, 3162, 1626, 346, 282, 924, 329, 597, 1029, 1913, 1914, 1105, 1030, 2306, 1498, 3414, 1486, 3061, 1380, 1642, 966, 1420, 790, 3226, 1116, 3857, 160, 3681, 38, 1479, 141, 326, 385, 326, 2061, 2743, 1786, 2986, 1167, 722, 1625, 1421, 2949, 10, 2501, 705, 1557, 1716, 1362, 2032, 905, 1449, 3924, 1689, 2842, 491, 1287, 254, 1127, 1314, 1052, 1318, 611, 498, 3352, 3222, 991, 661, 2822, 589, 376, 13, 858, 2389, 1101, 857, 333, 1100, 2496, 1570, 2161, 1570, 3291, 474, 2410, 2394, 2389, 1354, 1304, 1093, 3619, 458, 2170, 3342, 1115, 13, 1482, 277, 1054, 2377, 793, 65, 1051, 1623, 1374, 3088, 1439, 3210, 3675, 1106, 11, 993, 469, 6, 1805, 1321, 102, 2107, 92, 90 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10, 545, 18, 3738, 1908, 2066, 1286, 76, 389, 1634, 341, 3621, 2073, 861, 1373, 1449, 2581, 7, 74, 218, 2138, 2133, 5, 1397, 262, 2056, 1350, 1034, 10, 1484, 2186, 1496, 1761, 39, 3481, 2629, 1425, 3199, 1772, 1350, 348, 3416, 1120, 3629, 2427, 2811, 3035, 3440, 3416, 3194, 2369, 4023, 540, 2462, 2466, 766, 1630, 1630, 2977, 2974, 1439, 3462, 1642, 2833, 1754, 1823, 209, 3099, 1656, 796, 836, 3128, 27, 1462, 2584, 822, 94, 2401, 544, 422, 824, 291, 45, 1649, 234, 2412, 2606, 2650, 1462, 3433, 4058, 3419, 1375, 1630, 2843, 1505, 1434, 3482, 4040, 41, 1052, 1820, 1372, 1374, 3082, 2501, 1382, 1569, 2102, 11, 1807, 1377, 1819, 506, 80, 1825, 1562, 1825, 1382, 1382, 3733, 3146, 3269, 3678, 1891, 2460, 1400, 1113, 1373, 1961, 542, 2466, 1306, 1820, 2413, 3134, 392, 2623, 482, 3277, 3669, 2120, 56, 1634, 3560, 886, 3134, 3947, 1423, 1624, 3226, 3812, 1956, 1035, 1136, 859, 58, 2536, 1899, 2082, 2475, 381, 97, 642, 3811, 1892, 3102, 2629, 2586, 1639, 846, 1173, 1410, 2456, 354, 1491, 2594, 852, 1309, 1862, 3078, 3167, 2300, 1354, 2399, 995, 2431, 1300, 270, 490, 286, 1932, 724, 300, 3368, 1540, 2012, 682, 2504, 2503, 2329, 1738, 2913, 833, 3579, 3339, 1062, 278, 1033, 2187, 394, 459, 556, 3585, 356, 85, 205, 3920, 4069, 984, 3194, 1294, 1642, 1145, 2490, 3557, 1813, 2137, 17, 476, 3349, 712, 3405, 1628, 3363, 993, 1534, 2281, 1993, 207, 3867, 2549, 1481, 2030, 1812, 508, 518, 3874, 1516, 3724, 223, 473, 1993, 2476, 3725, 2056, 3450, 1094, 1638, 327, 1380, 922, 3107, 475, 1510, 1682, 1087, 1406, 1513, 74, 2602, 1042, 864, 3099, 3158, 1427, 2338, 1596, 1629, 1302, 2450, 1145, 1802, 1086, 3274, 3894, 1530, 1257, 3044, 348, 2016, 1067, 1294, 1971, 2833, 1222, 1868, 1634, 1544, 237, 125, 2153, 185, 2296, 1399, 1114, 1549, 3228, 1994, 516, 90, 3492, 18, 2050, 1438, 2380, 426, 4058, 1042, 1495, 486, 1866, 3317, 545, 3291, 1190, 25, 1863, 2247, 862, 3434, 2459, 1413, 1334, 486, 511, 139, 1132, 2010, 3, 2, 1721, 2714, 2452, 1152, 630, 3604, 1384, 354, 3374, 13, 521, 101, 2168, 3605, 12, 1814, 1405, 2186, 3469, 3208, 1293, 3217, 2358, 3595, 13, 101, 373, 8, 1441, 1927, 1655, 906, 1297, 546, 938, 1118, 1658, 3404, 2413, 2173, 3923, 201, 2030, 1867, 519, 53, 40, 54, 1256, 2519, 2061, 1312, 3869, 1654, 1565, 2065, 3906, 1339, 2623, 1585, 2437, 1256, 1756, 1477, 3995, 1960, 381, 726, 2655, 1434, 646, 1448, 2260, 2313, 3345, 1427, 350, 3845, 2054, 3537, 1285, 3287, 534, 2028, 101, 850, 69, 3077, 5, 2463, 1287, 2600, 805, 633, 3334, 69, 3728, 1158, 3159, 1067, 2053, 3414, 1079, 2065, 345, 1551, 2502, 1172, 2638, 2067, 793, 65, 1879, 2527, 378, 2413, 244, 3430, 3670, 40, 3708, 2287, 229, 75, 2472, 3005, 3611, 1121, 1637, 3901, 27, 2154, 1127, 53, 1799, 913, 3537, 347, 1869, 838, 19, 1235, 314, 2189, 4050, 1029, 1320, 1276, 2078, 1054, 1374, 3193, 1346, 3125, 1555, 557, 1223, 2383, 400, 877, 3446, 1613, 1633, 524, 72, 389, 924, 3684, 277, 2064, 2658 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2949, 1955, 2982, 916, 2191, 747, 211, 28, 92, 3435, 503, 410, 2019, 145, 2146, 2167, 400, 805, 1225, 911, 14, 2983, 653, 647, 422, 903, 2630, 490, 3717, 2886, 401, 166, 2536, 549, 621, 3307, 139, 801, 54, 533, 570, 3264, 7, 199, 1175, 1525, 33, 3727, 1335, 420, 1672, 1185, 1599, 2593, 263, 1913, 2606, 2625, 156, 156, 1436, 1650, 3083, 2267, 1838, 2652, 1629, 531, 2873, 1857, 540, 2311, 2127, 1133, 1081, 95, 23, 1177, 149, 429, 806, 3403, 2093, 35, 14, 2173, 133, 3897, 2674, 2243, 1368, 3724, 3104, 3703, 3911, 2392, 3324, 3113, 902, 1555, 2391, 2398, 2295, 119, 3697, 414, 2219, 3692, 1738, 1086, 1625, 1574, 2262, 1133, 136, 3350, 619, 1559, 1640, 3213, 1701, 350, 1051, 1071, 1262, 1222, 2226, 2970, 1774, 2097, 1640, 1654, 1711, 106, 2604, 1127, 1637, 2663, 2606, 2054, 2920, 541, 2226, 1766, 2089, 1701, 926, 1072, 3240, 3832, 3320, 3528, 3272, 3324, 3320, 3320, 3160, 2413, 2645, 2654, 2786, 2797, 2608, 760, 3450, 3513, 1508, 3073, 1381, 1668, 1154, 1240, 3097, 1772, 262, 1041, 2466, 1174, 1788, 52, 814, 2817, 1747, 1204, 228, 212, 785, 817, 3706, 3923, 2162, 3023, 126, 1961, 849, 776, 2868, 1841, 41, 1012, 798, 1821, 3292, 4042, 1805, 3187, 2136, 1848, 3677, 1342, 1980, 1812, 403, 3179, 1995, 1977, 3548, 1506, 3281, 3873, 1340, 1050, 1170, 1891, 1380, 346, 2560, 1474, 10, 398, 565, 3098, 3637, 1362, 1032, 401, 220, 2257, 3417, 1093, 258, 2395, 83, 478, 1877, 105, 360, 2053, 5, 5, 5, 1239, 457, 3426, 1040, 1312, 3590, 3189, 202, 1321, 14, 3930, 1365, 1570, 3169, 277, 1558, 1301, 74, 1146, 34, 1622, 3141, 3569, 1846, 1606, 838, 22, 1498, 1174, 1030, 1099, 552, 1986, 1595, 1420, 2060, 73, 506, 3136, 133, 1721, 1217, 1285, 2906, 1562, 661, 11, 377, 149, 2084, 378, 1357, 1157, 1094, 1818, 3392, 3426, 1901, 1634, 801, 193, 2315, 3591, 3866, 3495, 2487, 1974, 166, 1543, 202, 3080, 56, 805, 986, 33, 85, 3106, 521, 476, 3670, 3954, 1997, 2346, 1747, 2585, 2137, 287, 1349, 261, 69, 3139, 3079, 859, 2725, 363, 266, 1421, 135, 2464, 1630, 985, 421, 1394, 2843, 456, 1421, 363, 2592, 3078, 1632, 1056, 720, 209, 1569, 3376, 1784, 3352, 914, 1815, 2506, 2778, 2098, 2909, 1733, 3041, 762, 2959, 861, 2843, 250, 619, 1261, 253, 1855, 2561, 857, 1169, 3785, 1630, 2780, 3574, 714, 4081, 1358, 1611, 2508, 3857, 692, 975, 878, 2889, 1642, 1885, 1770, 1265, 3530, 2316, 281, 4074, 1884, 921, 2969, 1995, 828, 3848, 3847, 276, 1929, 3470, 1483, 4083, 1480, 3579, 2377, 2201, 841, 245, 3618, 3910, 1947, 3423, 349, 1379, 1890, 844, 277, 1766, 1497, 3927, 1923, 1500, 2137, 3930, 838, 3450, 1130, 2538, 3100, 2170, 3154, 1306, 1937, 122, 1922, 3852, 931, 1251, 1438, 3473, 902, 1089, 601, 1548, 1884, 1946, 1884, 2384, 3653, 380, 1043, 530, 1370, 98, 506, 2122, 3434, 1642, 1625, 214, 3994, 1803, 2657, 3322, 1090, 3555, 476, 2396, 218, 2933, 1626, 1397, 2460, 2150, 2524, 349, 1098, 3229, 1390, 1800, 1858, 1450, 2549, 3458, 3419, 1611, 462, 1126, 2181, 1384, 4057, 2064 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2394, 2064, 403, 1361, 171, 1833, 2373, 3873, 1502, 1894, 2076, 1186, 2034, 1880, 944, 625, 4063, 13, 3364, 2146, 3663, 2683, 3094, 4061, 4042, 3089, 2426, 795, 1810, 2012, 1830, 922, 2578, 3025, 1799, 293, 925, 2062, 3166, 3011, 747, 2706, 1368, 925, 3418, 1999, 100, 3093, 2082, 3864, 82, 3153, 2854, 2831, 1430, 2405, 3910, 1378, 1545, 1318, 2933, 1244, 3641, 2173, 589, 3420, 2510, 3062, 3417, 345, 2302, 490, 923, 343, 694, 3370, 2630, 3558, 3082, 708, 1550, 1663, 864, 1357, 140, 293, 2155, 1533, 3710, 3243, 1143, 2429, 985, 201, 1314, 3130, 1513, 1973, 42, 3194, 3142, 3581, 525, 2432, 1534, 3112, 2213, 1433, 2283, 64, 1443, 1333, 1402, 3614, 2621, 156, 3906, 770, 1929, 1242, 2298, 1373, 3491, 602, 803, 2326, 811, 555, 3542, 1374, 1397, 1164, 1376, 1946, 99, 138, 3403, 289, 1846, 849, 470, 991, 1930, 3100, 3545, 2333, 484, 1031, 1338, 1044, 1187, 2177, 426, 1419, 169, 2090, 3305, 1178, 3214, 775, 131, 82, 145, 3271, 154, 709, 2326, 346, 54, 1031, 2425, 1812, 395, 1962, 354, 459, 3034, 277, 1930, 2039, 1532, 2434, 3672, 1862, 838, 2585, 204, 1794, 3353, 1292, 3130, 1505, 3654, 1370, 1370, 1370, 1370, 1404, 1146, 662, 921, 1667, 1250, 586, 1066, 1634, 1622, 3441, 1401, 1108, 811, 3198, 1817, 3267, 1492, 1355, 427, 152, 3569, 1049, 3450, 1482, 346, 439, 105, 3417, 217, 524, 595, 2084, 3333, 1098, 1510, 1665, 792, 795, 79, 546, 2690, 2374, 3397, 1447, 3334, 3706, 397, 1605, 3922, 3595, 355, 782, 1031, 1037, 1386, 1627, 1605, 629, 642, 3094, 3862, 3450, 1445, 2178, 3882, 1434, 1916, 1048, 890, 338, 1996, 281, 1996, 17, 424, 3080, 1029, 3346, 3194, 3420, 1939, 1862, 3131, 2836, 3429, 3626, 3085, 3308, 1703, 1402, 417, 3454, 3111, 1891, 915, 789, 3307, 3256, 1997, 389, 2101, 200, 1976, 2274, 340, 3553, 2199, 34, 3325, 376, 3320, 144, 17, 896, 914, 3481, 3869, 1318, 697, 1925, 361, 3097, 1930, 3546, 2109, 3290, 454, 1672, 1567, 2933, 2394, 1192, 1845, 1304, 1006, 3115, 1807, 44, 1404, 1547, 345, 2139, 1997, 53, 845, 415, 520, 930, 3270, 1835, 13, 110, 14, 2519, 2250, 3429, 1387, 325, 1703, 76, 347, 736, 2326, 373, 908, 1399, 1146, 729, 3659, 345, 1036, 737, 1817, 2826, 1206, 306, 638, 1041, 785, 469, 3125, 30, 387, 3589, 2932, 1851, 62, 3083, 252, 2542, 151, 3194, 3676, 3358, 1446, 154, 2458, 1505, 2394, 1370, 1370, 1382, 1429, 366, 1562, 154, 1605, 3356, 1238, 1178, 11, 165, 89, 1170, 378, 588, 482, 3363, 292, 3943, 3002, 1828, 2034, 3354, 3461, 503, 1150, 1350, 1040, 1334, 2564, 1438, 362, 2394, 1245, 1035, 265, 1104, 1313, 1094, 377, 3742, 474, 2842, 1499, 2486, 3357, 412, 17, 409, 3421, 1432, 3339, 1556, 1909, 110, 471, 262, 469, 778, 2439, 2134, 1621, 645, 107, 1125, 180, 1671, 657, 542, 1825, 1617, 2059, 859, 1285, 25, 1481, 1935, 601, 2321, 977, 269, 5, 517, 1812, 1194, 3522, 3472, 2049, 781, 1909, 133, 2829, 266, 3857, 5, 124, 106, 3532, 3173, 340, 1098, 2402, 926, 1340, 1466, 2205, 2286, 2303, 2451, 1410, 2379, 2064, 643 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2790, 145, 3210, 549, 1205, 1978, 1609, 1324, 2470, 613, 437, 1700, 808, 362, 346, 1402, 283, 98, 1334, 1173, 237, 29, 1029, 2389, 714, 1817, 1302, 2213, 74, 3994, 1055, 473, 300, 327, 1477, 1102, 1098, 1410, 1124, 3905, 966, 518, 106, 1393, 2209, 314, 1690, 3105, 236, 261, 1250, 274, 1562, 1366, 185, 346, 1372, 3340, 1805, 2709, 54, 2474, 2508, 1221, 1110, 678, 550, 2837, 3410, 1508, 53, 41, 583, 9, 558, 1546, 2853, 211, 274, 1289, 23, 2344, 26, 1488, 457, 2601, 2587, 3717, 653, 266, 2075, 1429, 472, 361, 1289, 2016, 379, 330, 2566, 89, 1370, 1036, 6, 1557, 2453, 279, 19, 99, 1818, 3867, 26, 1544, 782, 1874, 1149, 1101, 1029, 3912, 1594, 1370, 1411, 1045, 52, 1030, 2170, 374, 5, 1397, 146, 17, 76, 649, 1397, 89, 2629, 150, 118, 3337, 3425, 1358, 1162, 1065, 346, 251, 1889, 1735, 1753, 2657, 522, 852, 526, 2063, 581, 2585, 1178, 246, 1314, 10, 1542, 278, 857, 3382, 3626, 395, 555, 646, 1996, 1549, 2690, 1619, 1369, 335, 60, 5, 2510, 1374, 5, 96, 1432, 502, 3690, 2058, 2910, 5, 161, 2118, 651, 2649, 13, 2246, 1370, 1126, 2465, 133, 1562, 569, 3334, 3463, 525, 1290, 2522, 3450, 3978, 1158, 1925, 394, 1437, 1354, 370, 342, 1403, 199, 2658, 2453, 74, 2129, 17, 56, 2585, 326, 3996, 197, 3172, 1865, 955, 1212, 666, 85, 1358, 1711, 5, 3463, 357, 2172, 69, 101, 1124, 1385, 840, 1081, 2582, 1109, 330, 1114, 3909, 1213, 2438, 1374, 2439, 3961, 1093, 2056, 3294, 2652, 3077, 611, 2333, 1379, 2097, 731, 1386, 2374, 2195, 1599, 1843, 179, 1603, 1822, 2413, 343, 934, 1453, 3688, 414, 3184, 3537, 1643, 1556, 1059, 2723, 90, 3671, 1438, 3938, 3148, 2170, 2417, 347, 442, 1910, 1478, 1638, 1401, 1406, 3450, 3930, 1051, 3162, 2805, 2250, 513, 1401, 1461, 1632, 353, 1830, 123, 2623, 1366, 3413, 1633, 118, 3882, 1311, 3180, 3929, 236, 3098, 1820, 2041, 2329, 3931, 374, 1308, 2434, 2573, 1369, 3646, 3914, 3307, 1500, 1653, 1380, 53, 2330, 1500, 1138, 1398, 1306, 3870, 3099, 359, 2394, 2465, 1308, 1378, 3522, 1931, 2202, 3160, 417, 454, 2138, 1356, 1949, 854, 1868, 3170, 1658, 1619, 474, 2009, 3210, 3400, 417, 2908, 2138, 2293, 248, 1336, 2150, 2102, 3139, 614, 1634, 2004, 2420, 2208, 2424, 650, 3230, 2266, 2693, 3758, 1889, 1379, 1045, 678, 3182, 1565, 3910, 2334, 1034, 1971, 1362, 2541, 3434, 662, 3734, 3425, 696, 3618, 1386, 3382, 835, 1621, 3986, 2002, 1825, 898, 1411, 2149, 1309, 3729, 3912, 297, 414, 2375, 1370, 1379, 918, 1388, 1357, 1146, 1866, 1190, 1515, 1883, 3220, 1827, 1806, 1633, 974, 1489, 2579, 1989, 1541, 1578, 3687, 209, 2771, 2200, 3376, 2555, 2468, 2456, 2872, 518, 1948, 502, 2552, 942, 1628, 1433, 572, 481, 1340, 847, 2457, 197, 1948, 859, 518, 2448, 3588, 238, 2581, 2005, 2068, 1846, 1137, 3, 2, 623, 1541, 2518, 2826, 2131, 1286, 2823, 2632, 175, 2152, 396, 3204, 2069, 681, 95, 106, 9, 69, 1226, 3397, 29, 200, 3240, 219, 350, 332, 29, 715, 3845, 1557, 2603, 1650, 341, 37, 85, 785, 785, 792, 793 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 649, 3086, 1482, 2514, 3384, 617, 11, 2155, 1610, 2381, 1096, 458, 3531, 3142, 182, 3132, 1134, 17, 1114, 3415, 2313, 22, 458, 2391, 2310, 801, 1418, 1380, 1144, 849, 1378, 1389, 2337, 3092, 3911, 3162, 1145, 527, 2566, 281, 1281, 22, 2427, 1116, 1354, 234, 282, 1375, 3594, 69, 136, 1281, 2701, 29, 661, 22, 3090, 181, 651, 3670, 3580, 4062, 2469, 3589, 1766, 3086, 1365, 1494, 2930, 2448, 114, 833, 3806, 2318, 557, 519, 538, 538, 1445, 1693, 6, 1441, 410, 741, 2565, 2331, 1611, 90, 2214, 2410, 1378, 1568, 421, 392, 12, 4092, 3685, 3596, 3135, 2319, 3313, 3602, 1484, 56, 1628, 2120, 936, 651, 694, 140, 3521, 409, 3934, 1462, 2162, 2464, 3690, 3087, 3596, 2927, 552, 3498, 1629, 1822, 2466, 1372, 3162, 1234, 2440, 3452, 3098, 3275, 1130, 2524, 28, 34, 3166, 3866, 3958, 12, 3459, 1435, 3258, 1050, 2052, 1910, 1914, 1913, 3144, 141, 1430, 248, 925, 1845, 1121, 2115, 373, 915, 1858, 1098, 3869, 353, 1131, 1221, 3932, 3547, 1625, 2205, 2583, 202, 2474, 1306, 3682, 2397, 918, 2142, 3439, 2388, 1390, 2106, 226, 1621, 3190, 162, 806, 3419, 1618, 1810, 1159, 1799, 354, 3893, 1931, 481, 568, 1253, 478, 3675, 1827, 1909, 600, 3161, 3887, 109, 3409, 1125, 3371, 1886, 1877, 3896, 1370, 1898, 2281, 937, 800, 1374, 1762, 3554, 3554, 3554, 509, 1109, 3701, 1057, 1483, 346, 1378, 2304, 3134, 9, 1489, 3885, 2168, 3178, 3091, 1132, 3133, 374, 2089, 835, 587, 27, 1427, 135, 12, 1413, 894, 897, 3402, 870, 3687, 3929, 2398, 62, 2333, 233, 3126, 3291, 808, 300, 2055, 1172, 1467, 1393, 1143, 810, 554, 3566, 1121, 773, 1466, 1514, 3557, 3866, 3945, 550, 1178, 1402, 1545, 1368, 1087, 129, 673, 1774, 1393, 478, 1720, 1054, 1743, 395, 788, 1812, 2020, 1989, 3229, 1823, 2589, 2104, 2385, 51, 1114, 1186, 2695, 1894, 1695, 258, 1663, 1662, 1569, 2387, 1549, 130, 1555, 2013, 1597, 526, 1381, 409, 2299, 2090, 2450, 1386, 1554, 783, 1609, 3469, 2122, 858, 3339, 2121, 2906, 2830, 1305, 4041, 2488, 2548, 1892, 145, 3425, 3846, 1272, 2001, 3993, 3592, 460, 1425, 3107, 132, 982, 1236, 2577, 1537, 385, 1162, 545, 3094, 2773, 14, 2463, 2181, 529, 302, 1176, 446, 634, 1691, 3415, 765, 2430, 1402, 3740, 808, 3525, 2521, 1471, 3829, 197, 419, 3237, 362, 3202, 3448, 1643, 822, 2082, 1410, 3323, 633, 82, 3390, 3564, 2386, 1476, 3326, 382, 19, 209, 1582, 3077, 2522, 3436, 1334, 470, 3081, 465, 3306, 2286, 3321, 730, 123, 1575, 2917, 775, 1148, 1112, 2367, 2665, 379, 1382, 1304, 376, 1515, 1409, 901, 2594, 3704, 453, 3103, 3820, 108, 520, 3033, 3688, 574, 2101, 602, 3702, 1397, 3136, 3445, 246, 3664, 15, 3834, 502, 3855, 3430, 2602, 595, 1210, 262, 1147, 219, 1499, 3285, 3342, 1322, 813, 759, 379, 346, 3457, 2315, 898, 1380, 3148, 3085, 3407, 49, 2913, 3991, 1371, 210, 1481, 3336, 428, 320, 924, 3308, 1061, 2881, 1571, 746, 1169, 267, 1996, 3334, 2835, 845, 204, 1254, 1067, 154, 1685, 1805, 475, 585, 1249, 3180, 1345, 3932, 3436, 1386, 3051, 2154, 1621, 565, 2613, 238, 38, 110, 3289 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3289, 2138, 1576, 3473, 901, 794, 340, 1825, 1538, 1542, 544, 198, 1869, 525, 1925, 1593, 2104, 859, 1539, 66, 1323, 114, 1364, 1353, 2389, 35, 1349, 470, 1388, 338, 2395, 1443, 794, 1938, 3485, 3035, 881, 3585, 3835, 2840, 14, 2057, 1125, 3302, 2261, 205, 3165, 810, 1546, 2450, 1480, 923, 645, 3206, 3718, 3880, 1460, 576, 867, 3526, 2457, 3228, 2524, 3016, 1434, 1196, 2397, 3186, 1433, 186, 1538, 203, 7, 602, 40, 348, 1395, 3682, 2101, 826, 18, 1402, 1628, 3452, 1506, 404, 2764, 312, 898, 199, 2728, 214, 276, 1362, 2677, 3178, 3281, 490, 184, 1434, 3139, 205, 2002, 3309, 209, 1033, 1866, 2154, 1882, 1674, 1500, 1162, 2459, 1434, 3418, 3597, 1323, 1350, 342, 219, 1378, 350, 2650, 2421, 3930, 1370, 2474, 1594, 1306, 1435, 1068, 1042, 1825, 930, 2170, 1374, 236, 1032, 1034, 3989, 1133, 1097, 2330, 2081, 1819, 954, 1510, 1355, 377, 1099, 278, 278, 278, 278, 290, 218, 222, 562, 294, 3404, 2173, 3384, 122, 30, 1625, 3286, 107, 3429, 3449, 1062, 3656, 1542, 1178, 1046, 122, 1442, 1301, 569, 3259, 3606, 3164, 1893, 2053, 329, 3492, 60, 3086, 1077, 3099, 49, 3077, 3942, 2113, 2376, 198, 1543, 3269, 989, 1556, 537, 3212, 341, 2118, 3718, 1258, 1097, 1886, 826, 3209, 1442, 13, 28, 2061, 1874, 890, 1097, 1097, 1097, 1097, 1097, 1097, 1097, 1097, 1561, 1418, 85, 1850, 2902, 1751, 476, 1065, 105, 1161, 3412, 1449, 120, 1385, 1466, 3381, 892, 590, 362, 1334, 1106, 1402, 2060, 3609, 197, 1045, 2174, 221, 480, 1861, 1250, 2060, 965, 213, 1825, 2401, 1808, 1302, 165, 594, 2647, 2251, 550, 397, 34, 2316, 1112, 529, 2315, 1420, 926, 2844, 2469, 26, 2603, 460, 787, 1360, 121, 2310, 3833, 1630, 1677, 4042, 2784, 880, 2088, 793, 683, 709, 664, 3284, 1080, 3036, 205, 173, 524, 105, 1556, 1232, 56, 3110, 3598, 1418, 1560, 455, 396, 3348, 1484, 3349, 552, 76, 498, 2578, 1543, 795, 1989, 333, 3936, 1628, 3145, 2118, 924, 1689, 373, 3591, 53, 3417, 522, 346, 3487, 1417, 378, 1253, 3655, 783, 1053, 602, 2876, 1647, 229, 1632, 3727, 3473, 2849, 984, 1844, 56, 2593, 1677, 389, 2026, 965, 161, 1303, 3951, 134, 2159, 647, 3930, 3746, 3677, 1818, 941, 566, 3925, 932, 1565, 3601, 602, 2055, 1320, 3493, 1385, 1351, 1429, 2137, 309, 614, 1371, 385, 1142, 54, 2138, 2130, 3414, 1045, 1114, 602, 2886, 341, 4041, 1465, 4072, 1892, 2961, 3740, 774, 1276, 1233, 3209, 3590, 460, 1489, 3105, 404, 734, 1748, 2577, 1313, 385, 1674, 539, 3094, 2519, 7, 1578, 2565, 649, 277, 2326, 666, 310, 310, 1862, 3147, 2426, 3164, 1488, 1489, 2300, 44, 1306, 3712, 3272, 3083, 1959, 2057, 2422, 3962, 3309, 1361, 3173, 1626, 3701, 398, 586, 858, 3916, 2410, 859, 3862, 3659, 3659, 916, 800, 2805, 60, 1402, 409, 3148, 1144, 268, 312, 2405, 2616, 3341, 1869, 3357, 1158, 640, 861, 1161, 3606, 514, 34, 51, 13, 376, 137, 1380, 1867, 2093, 90, 1106, 1804, 352, 442, 453, 1362, 1628, 1178, 1065, 3845, 1420, 1190, 1349, 3350, 1029, 1948, 73, 1445, 1073, 1881, 1413, 1577, 3928, 1062, 1818 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2341, 3226, 338, 1113, 1375, 1398, 1799, 1525, 3608, 1400, 1483, 1409, 901, 2658, 632, 453, 3126, 3628, 108, 520, 2329, 3685, 636, 53, 586, 3702, 1461, 3454, 373, 502, 3790, 3087, 3450, 502, 3871, 3366, 3817, 595, 1210, 3601, 1211, 219, 1499, 3285, 3370, 1373, 1167, 350, 225, 1107, 1405, 3114, 186, 3678, 3854, 1805, 3408, 177, 2913, 3975, 1371, 210, 1289, 3340, 428, 301, 921, 112, 1825, 3065, 1569, 4074, 1089, 523, 1996, 3334, 2359, 864, 204, 2278, 1067, 150, 1621, 1801, 482, 333, 1493, 3082, 1589, 3932, 3692, 2410, 2987, 3094, 2453, 145, 645, 661, 2086, 3403, 1592, 809, 586, 1885, 2305, 787, 53, 1370, 4065, 1818, 3933, 141, 1224, 114, 525, 563, 13, 3373, 3206, 1452, 3093, 3932, 6, 1515, 1608, 505, 210, 2394, 1654, 1069, 1386, 1145, 3162, 572, 1127, 3933, 3512, 1080, 3038, 3141, 3105, 214, 5, 154, 837, 773, 357, 3226, 2075, 1546, 2833, 3677, 2616, 524, 2572, 3506, 1473, 2913, 3712, 1803, 1640, 3683, 1123, 834, 1626, 675, 2356, 442, 1637, 730, 3065, 2121, 2075, 199, 602, 349, 25, 2524, 1386, 3498, 2101, 261, 290, 1890, 3485, 2526, 2303, 3190, 1848, 2005, 3115, 565, 3350, 250, 2207, 1857, 2657, 3782, 3669, 2842, 2413, 965, 42, 3874, 3311, 8, 268, 1402, 1722, 539, 1610, 1946, 1927, 378, 342, 3176, 410, 1642, 1500, 1308, 1818, 1369, 1401, 42, 460, 3705, 1079, 181, 2914, 308, 1481, 484, 1366, 1820, 2022, 1202, 3338, 1294, 636, 1538, 2341, 21, 434, 2856, 2306, 1735, 2547, 4081, 941, 566, 1416, 1659, 1689, 654, 3021, 1137, 2074, 3189, 333, 2401, 17, 1099, 1354, 1373, 709, 3539, 1111, 721, 151, 506, 1925, 3349, 173, 1893, 1349, 469, 261, 1221, 13, 3464, 136, 117, 1799, 2102, 2824, 1318, 204, 965, 1498, 3105, 2081, 1316, 278, 88, 19, 248, 408, 830, 2858, 1484, 480, 811, 416, 2500, 1596, 3682, 159, 673, 301, 1670, 1707, 1479, 2527, 1400, 2493, 1167, 411, 426, 617, 3189, 1730, 3241, 725, 2125, 1101, 1149, 2266, 422, 166, 105, 73, 545, 6, 3429, 866, 343, 2174, 456, 203, 1515, 1444, 283, 1597, 3580, 224, 221, 1040, 3800, 3046, 1562, 4034, 981, 1532, 32, 1752, 1438, 2052, 2415, 922, 1615, 654, 1890, 2590, 428, 74, 455, 2328, 1387, 1470, 1363, 1669, 155, 921, 2208, 1695, 703, 431, 3263, 3803, 3738, 1594, 2121, 1595, 201, 37, 123, 525, 2505, 2930, 1287, 3401, 2137, 1930, 1522, 1302, 3530, 1370, 3421, 1542, 1105, 3889, 1162, 1417, 1372, 1062, 1440, 3257, 1898, 1089, 261, 1538, 1929, 38, 1568, 1293, 1357, 264, 1420, 3080, 27, 2077, 2475, 1269, 7, 1797, 5, 1166, 863, 525, 34, 330, 1928, 12, 73, 1387, 1034, 1558, 1611, 2155, 1126, 359, 422, 1305, 1436, 2140, 2586, 3103, 1402, 1306, 3877, 209, 147, 838, 140, 1552, 1041, 197, 531, 2285, 134, 2835, 781, 775, 62, 3274, 1605, 2189, 605, 1317, 785, 785, 776, 265, 3079, 301, 1522, 1530, 3189, 3911, 661, 3207, 56, 36, 3227, 1753, 1410, 1372, 1694, 1404, 3889, 3276, 198, 3125, 56, 33, 10, 2052, 72, 795, 1290, 1818, 3128, 3718, 3895, 3115, 3877, 2585, 302, 2470, 2377, 541, 167 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 1367, 1641, 1691, 27, 3733, 2582, 2651, 1392, 3258, 1383, 582, 1363, 350, 1163, 2379, 247, 1100, 1301, 1410, 1620, 2042, 1307, 3929, 3126, 1132, 1064, 100, 2788, 1446, 1161, 3612, 1433, 261, 1254, 1370, 3434, 549, 2453, 257, 3160, 13, 42, 2505, 1134, 517, 374, 3246, 1393, 1694, 1910, 2157, 709, 1485, 410, 3886, 1883, 1371, 1423, 1741, 2459, 1854, 3085, 1592, 3356, 411, 1516, 2374, 3867, 44, 3429, 1233, 1365, 100, 1434, 3399, 2181, 3658, 3096, 173, 1638, 298, 3894, 2404, 1318, 3126, 287, 325, 3604, 600, 278, 3, 2, 3613, 977, 830, 1298, 2266, 1529, 2994, 237, 844, 2677, 1591, 104, 3082, 3346, 1402, 3358, 3590, 2322, 1336, 27, 2065, 2390, 1164, 2166, 2179, 377, 1146, 3181, 3139, 234, 2490, 3582, 1243, 1956, 343, 1667, 222, 1415, 3322, 2681, 1477, 301, 2120, 860, 1554, 1672, 3238, 155, 786, 1948, 162, 3545, 302, 3102, 2581, 2443, 1811, 287, 3310, 1387, 2439, 806, 1811, 2203, 867, 798, 3342, 2742, 3475, 2622, 2282, 1692, 3234, 264, 389, 2187, 3691, 1923, 1031, 417, 3434, 2502, 438, 2788, 620, 1965, 2689, 3184, 1852, 1441, 977, 2605, 1842, 1825, 1828, 970, 2448, 785, 142, 3986, 2460, 1857, 1409, 1699, 802, 2463, 1233, 2181, 1146, 1638, 3614, 3174, 2474, 3864, 1418, 906, 3461, 620, 2113, 2403, 2202, 3678, 988, 1946, 3579, 1364, 3800, 603, 362, 1473, 222, 165, 405, 906, 2561, 182, 1353, 3474, 3726, 2963, 913, 2057, 1287, 296, 198, 3338, 137, 2300, 3273, 3270, 4065, 3938, 628, 2106, 1438, 2907, 3434, 3101, 3601, 125, 3277, 1822, 2426, 2878, 1233, 2776, 2413, 1260, 2326, 2017, 3130, 2421, 2685, 194, 1498, 1345, 539, 3348, 1416, 2381, 1644, 138, 3976, 2377, 609, 3205, 1528, 38, 556, 2881, 821, 3200, 1847, 925, 409, 2026, 1821, 3134, 1427, 17, 3827, 381, 3486, 1443, 97, 1371, 115, 1423, 1915, 813, 3116, 874, 3306, 1365, 2073, 1357, 3161, 1609, 2009, 56, 993, 3781, 2445, 1763, 1747, 1542, 2517, 2020, 92, 2523, 1540, 3101, 2864, 1479, 1625, 3341, 1434, 3990, 3162, 2257, 40, 856, 197, 3346, 1416, 1802, 3219, 1490, 136, 1292, 22, 3677, 2004, 104, 172, 1849, 1153, 2065, 671, 1694, 3605, 2183, 887, 3097, 3857, 145, 3330, 3125, 1545, 657, 2101, 198, 2552, 20, 117, 537, 2522, 802, 3304, 827, 1681, 2146, 1868, 438, 3166, 1998, 1922, 3034, 2055, 1403, 3019, 1661, 3323, 70, 3229, 309, 1846, 1591, 21, 2716, 1821, 3269, 3128, 824, 824, 56, 824, 2538, 3277, 1660, 204, 865, 513, 1794, 2568, 823, 1545, 125, 1845, 74, 1257, 1403, 603, 397, 3247, 2147, 722, 1886, 677, 7, 825, 74, 62, 1551, 1355, 1453, 2055, 1349, 590, 2873, 93, 58, 1398, 1110, 1880, 3162, 1285, 773, 5, 1813, 1826, 3546, 3170, 1498, 1586, 1153, 868, 3145, 1029, 3894, 922, 1398, 262, 401, 22, 3169, 1633, 1002, 19, 2057, 533, 467, 902, 34, 1623, 2073, 213, 9, 1157, 1033, 1093, 53, 2008, 2066, 1857, 415, 261, 3630, 1703, 1164, 1174, 877, 1037, 2059, 218, 538, 1304, 1302, 1122, 2472, 1733, 56, 118, 2698, 1989, 2266, 1373, 3144, 2003, 3309, 213, 1307, 1909, 1669, 1109, 1362, 774, 1509, 3518 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2887, 7, 3133, 3086, 1625, 3094, 842, 197, 12, 263, 2056, 1113, 1542, 3475, 3381, 262, 3450, 1861, 3542, 2650, 2336, 35, 3090, 181, 1974, 1386, 1626, 2344, 9, 127, 2881, 197, 22, 1080, 1890, 1224, 3734, 2240, 2720, 3723, 1578, 1605, 1315, 3077, 3749, 1122, 4057, 1106, 2600, 3420, 3485, 3006, 16, 2967, 2019, 3236, 3426, 1436, 2014, 2065, 2056, 3314, 26, 267, 1146, 1186, 1292, 24, 86, 343, 1434, 93, 1050, 1940, 6, 870, 1123, 2080, 26, 1313, 1525, 118, 2053, 4054, 1441, 93, 551, 549, 20, 3091, 394, 204, 5, 812, 405, 3579, 2434, 1626, 1594, 1113, 1806, 379, 3085, 1093, 649, 69, 1481, 130, 3461, 1145, 53, 3530, 1126, 1322, 2342, 3077, 3352, 249, 1398, 3173, 1029, 5, 18, 354, 1821, 326, 3419, 1642, 2462, 1173, 602, 1356, 1628, 1882, 136, 169, 645, 3228, 821, 1848, 328, 3435, 1404, 2428, 1288, 1852, 886, 520, 2133, 821, 2065, 3190, 54, 3965, 2665, 218, 24, 968, 111, 34, 2087, 1062, 2077, 1286, 2189, 23, 1386, 3895, 10, 1553, 1233, 3873, 2149, 3355, 321, 2119, 332, 216, 2670, 3535, 393, 2104, 1224, 201, 91, 1477, 78, 217, 3109, 2063, 3034, 45, 453, 2141, 3952, 3750, 334, 2326, 364, 1478, 366, 1157, 862, 1093, 1813, 1400, 3110, 2186, 1614, 2134, 1390, 2053, 2013, 2571, 783, 354, 1386, 1388, 264, 27, 346, 1500, 1511, 2413, 1377, 249, 1224, 213, 53, 289, 1386, 3358, 1257, 3413, 2206, 1618, 1447, 282, 81, 344, 262, 1431, 2053, 3086, 1109, 1148, 2010, 3289, 2030, 2757, 1333, 1382, 2566, 501, 2653, 82, 422, 2249, 8, 25, 3078, 2461, 2698, 537, 1607, 341, 3078, 1390, 2566, 597, 2316, 18, 245, 350, 2586, 2393, 1307, 2392, 5, 5, 5, 5, 53, 785, 785, 781, 524, 2025, 2629, 3639, 3789, 197, 3853, 774, 3936, 3584, 381, 311, 55, 18, 869, 126, 325, 1997, 1528, 106, 3662, 2947, 2254, 2430, 2378, 2171, 2415, 30, 2078, 1625, 3932, 281, 2727, 363, 118, 1372, 2458, 857, 534, 1308, 2414, 1379, 3340, 346, 3813, 858, 2265, 3946, 1770, 1506, 3421, 1937, 2145, 788, 71, 533, 3645, 129, 3085, 181, 798, 2402, 426, 2604, 1308, 2288, 2065, 3910, 1094, 645, 1285, 1806, 1066, 1530, 152, 285, 58, 1480, 2394, 1506, 3977, 1661, 1937, 1418, 3492, 732, 1948, 208, 1229, 221, 241, 1500, 76, 1332, 1644, 2844, 778, 1243, 1532, 2470, 2241, 318, 1313, 3910, 14, 2136, 3930, 2145, 1274, 3299, 3857, 842, 165, 152, 3931, 1367, 86, 3174, 1053, 577, 3165, 52, 343, 2097, 3554, 2068, 2283, 2250, 1661, 474, 733, 1389, 253, 30, 2414, 1205, 750, 3003, 1515, 2639, 422, 2267, 1600, 216, 715, 453, 2332, 2588, 821, 137, 40, 3473, 3419, 412, 1025, 90, 3454, 1986, 1555, 413, 141, 1433, 618, 2606, 2716, 1373, 574, 141, 2815, 1518, 257, 2833, 1738, 3165, 3194, 660, 1374, 1594, 906, 3078, 1425, 414, 1211, 1158, 1449, 106, 3930, 3162, 1873, 1348, 2416, 48, 2598, 3878, 453, 1292, 4086, 1373, 3165, 3295, 3291, 1563, 402, 3678, 2085, 3101, 1719, 2399, 1419, 927, 3860, 2770, 3383, 2846, 1691, 663, 3161, 2613, 1597, 783, 1553, 477, 723, 1592, 2259, 388 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1638, 793, 3851, 218, 566, 1490, 1131, 130, 1630, 1786, 1654, 3090, 3857, 606, 1885, 1373, 1640, 924, 3349, 3445, 325, 2594, 1433, 2379, 3946, 31, 3163, 1370, 2777, 2205, 453, 474, 3420, 1512, 118, 3381, 3685, 456, 812, 2908, 3308, 37, 588, 3148, 1107, 1598, 1937, 3134, 1295, 3604, 184, 3338, 329, 1097, 3147, 1676, 1499, 1291, 1553, 3937, 1417, 100, 1285, 1410, 1347, 3217, 3709, 62, 3319, 785, 3848, 714, 3905, 581, 3191, 833, 147, 123, 82, 3845, 2872, 901, 949, 147, 2433, 931, 1811, 1925, 2302, 1953, 897, 901, 3280, 3917, 2961, 3189, 3914, 3089, 241, 1418, 1440, 536, 2146, 1737, 2245, 280, 1885, 822, 2833, 983, 901, 2419, 827, 197, 868, 788, 1017, 2047, 1914, 1236, 1566, 1821, 2184, 1891, 1877, 3930, 751, 1827, 1949, 968, 397, 3421, 2065, 3959, 11, 603, 1357, 90, 2470, 1323, 1882, 2198, 1881, 2425, 1317, 3077, 3938, 1804, 33, 1401, 609, 1850, 1488, 404, 1480, 1173, 3709, 1091, 421, 548, 1947, 1624, 3306, 3496, 80, 3355, 1758, 710, 548, 2616, 3134, 1228, 443, 1373, 3264, 3085, 2995, 2842, 2179, 99, 3421, 3104, 2540, 800, 2356, 3230, 1883, 1679, 813, 168, 933, 1503, 568, 609, 936, 3088, 1435, 1743, 522, 733, 3601, 1344, 480, 3996, 2103, 1759, 2804, 1260, 16, 1839, 845, 3285, 2152, 2536, 3122, 1402, 536, 680, 843, 133, 2805, 1892, 3553, 104, 474, 359, 2037, 1571, 1379, 922, 1844, 2055, 945, 2042, 2026, 332, 1991, 241, 1224, 257, 2145, 201, 1948, 428, 2263, 2250, 4006, 1236, 234, 1899, 1517, 854, 2967, 124, 2514, 1845, 3080, 323, 2507, 1529, 200, 1827, 2515, 1337, 3225, 3281, 1532, 209, 3484, 364, 1866, 492, 3208, 3254, 2419, 425, 3464, 1642, 294, 3029, 3290, 1292, 3601, 2145, 2152, 385, 1910, 2462, 460, 1292, 1372, 2041, 1320, 3138, 978, 3694, 1289, 1734, 577, 1630, 285, 173, 1242, 1857, 419, 4053, 3149, 587, 1498, 2154, 1081, 2578, 1308, 773, 555, 506, 202, 1818, 3649, 3143, 1490, 776, 2111, 211, 89, 1105, 5, 1594, 3670, 1491, 1809, 776, 3582, 458, 1112, 821, 3521, 1404, 1093, 858, 3354, 1658, 53, 521, 1865, 1104, 965, 1141, 1389, 487, 364, 1480, 5, 3525, 1302, 347, 1297, 345, 538, 3221, 3097, 2170, 881, 2233, 615, 837, 3109, 2948, 186, 2512, 1501, 1914, 813, 5, 2107, 1366, 28, 3962, 5, 3304, 1114, 1629, 856, 3270, 1405, 716, 3877, 3909, 3130, 208, 813, 3182, 2106, 3274, 2298, 1305, 2135, 1662, 3434, 1889, 1311, 3292, 1054, 2466, 1436, 467, 1083, 610, 1877, 1601, 212, 774, 362, 2393, 1231, 66, 1061, 785, 925, 2274, 3889, 1885, 254, 294, 886, 3807, 1851, 2017, 3103, 2225, 821, 529, 2718, 1428, 1041, 1003, 2837, 795, 3041, 3025, 4024, 2008, 2475, 3059, 2101, 2580, 1812, 973, 3058, 2882, 728, 200, 85, 39, 1217, 1491, 1622, 1172, 326, 76, 3946, 1370, 1873, 225, 544, 775, 923, 1943, 3165, 1505, 2041, 773, 3483, 2507, 2877, 786, 2951, 2394, 4090, 1764, 36, 1841, 2572, 1480, 473, 12, 2461, 248, 3345, 352, 1802, 3333, 3866, 3957, 1378, 3145, 1116, 1374, 1512, 978, 465, 2833, 2488, 3209, 3213, 171, 3057, 3308, 1784, 245, 1101, 3099 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1719, 263, 2315, 2853, 3091, 653, 2187, 1502, 519, 1734, 1702, 3034, 2961, 2616, 144, 935, 210, 2977, 540, 936, 246, 2654, 1823, 23, 3083, 2259, 248, 3320, 3394, 2306, 1532, 3991, 821, 821, 1007, 859, 3039, 283, 1003, 344, 3465, 2754, 1539, 2288, 679, 2506, 1697, 332, 246, 3538, 1879, 1822, 2538, 2768, 280, 968, 856, 3876, 868, 940, 1020, 764, 198, 2854, 3787, 1377, 810, 1796, 716, 1480, 2347, 2915, 1468, 3366, 4050, 83, 1827, 1577, 3470, 74, 2641, 1816, 2345, 3666, 3413, 844, 3267, 1364, 2009, 1242, 3482, 2500, 1030, 3958, 3547, 1636, 1893, 3420, 1861, 1657, 1069, 666, 1477, 33, 2437, 857, 2389, 121, 802, 2210, 3132, 2452, 394, 3161, 813, 592, 299, 1626, 2260, 833, 13, 1103, 597, 2582, 1932, 93, 1039, 1195, 615, 1609, 1148, 2053, 3865, 3195, 1370, 2257, 201, 3903, 461, 956, 315, 3719, 348, 465, 737, 439, 3950, 3708, 1692, 68, 1647, 554, 3722, 1425, 272, 350, 2136, 205, 3441, 2311, 1353, 837, 965, 1837, 465, 245, 2321, 788, 3133, 2113, 33, 202, 3671, 3357, 2618, 637, 3676, 2037, 1578, 2652, 2670, 830, 2619, 1548, 1115, 1405, 1503, 2109, 2670, 3705, 1352, 81, 3722, 201, 2598, 635, 3591, 339, 381, 3662, 601, 3693, 901, 3938, 2620, 1238, 2696, 436, 141, 46, 3575, 389, 1233, 3804, 3438, 1147, 1883, 1387, 3421, 3070, 1069, 538, 1324, 3, 2, 3962, 3704, 3557, 552, 3580, 3454, 3458, 859, 2677, 2382, 3684, 3109, 170, 3926, 247, 2053, 3426, 1655, 2638, 3450, 2549, 3149, 2423, 2680, 3160, 2098, 2019, 1938, 977, 3940, 3938, 2014, 1810, 1890, 426, 1875, 2218, 3170, 1826, 917, 2410, 270, 3930, 2671, 2154, 3866, 3150, 3698, 2133, 2113, 893, 2174, 1614, 3989, 3125, 1570, 2574, 1894, 1600, 2401, 1642, 1378, 3426, 2160, 104, 2517, 2324, 10, 1398, 197, 344, 760, 1508, 3334, 2061, 1327, 1057, 1564, 389, 130, 1161, 966, 1553, 1594, 1224, 1849, 3274, 1312, 3654, 3789, 1125, 3127, 1270, 489, 1309, 3592, 3642, 254, 440, 3097, 1345, 2333, 795, 1485, 246, 1433, 2045, 356, 1484, 3089, 1546, 1520, 965, 69, 3858, 3829, 3224, 1369, 1528, 14, 837, 1428, 2119, 250, 1252, 850, 1034, 600, 1562, 346, 1990, 965, 1821, 1503, 3799, 3202, 3025, 1371, 3920, 4028, 1202, 3185, 3781, 2108, 3468, 3204, 2594, 2936, 2538, 3560, 2346, 3554, 789, 3670, 3428, 276, 515, 3424, 276, 273, 530, 1526, 822, 246, 3078, 3874, 3861, 1878, 3861, 681, 1674, 604, 2429, 2469, 3407, 3342, 2045, 2578, 1454, 937, 1093, 3728, 31, 2141, 1402, 2471, 396, 1514, 3170, 1497, 3561, 3866, 843, 3354, 355, 3142, 1889, 1498, 3163, 1870, 287, 2386, 700, 74, 3426, 1499, 3338, 1354, 710, 1030, 3459, 230, 340, 1498, 3158, 1852, 374, 1890, 2009, 412, 2420, 2422, 1130, 1522, 3410, 1948, 2364, 3162, 336, 850, 340, 1318, 1278, 1862, 213, 1922, 989, 1369, 1833, 994, 3254, 3516, 379, 2569, 3672, 130, 1769, 2607, 4046, 689, 2306, 837, 858, 697, 824, 1531, 2658, 820, 1409, 1540, 257, 1910, 2906, 810, 1915, 1256, 1784, 540, 2902, 4037, 1341, 1750, 841, 4063, 3393, 1809, 3514, 908, 1338, 1334, 57, 351, 3661, 1102, 2517, 777, 1418 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3682, 1498, 3548, 1910, 1436, 1746, 299, 97, 3142, 2890, 3170, 1482, 4086, 2038, 1846, 1378, 1116, 3381, 676, 3687, 1337, 281, 3159, 1601, 1431, 1372, 1623, 981, 2136, 1540, 814, 68, 3303, 3890, 2001, 562, 3384, 1402, 3482, 3333, 1361, 1401, 609, 2486, 1491, 340, 2500, 429, 422, 1864, 1882, 122, 1308, 69, 3893, 1386, 38, 3916, 3937, 15, 1347, 2938, 1912, 3121, 1888, 3020, 3233, 2660, 1192, 482, 1668, 160, 3521, 1758, 771, 397, 839, 3679, 3867, 3434, 878, 16, 3444, 4066, 1171, 980, 1862, 1690, 2156, 3644, 430, 2019, 416, 911, 122, 1876, 3722, 2524, 348, 1467, 2982, 1336, 2012, 1540, 1160, 3447, 890, 1646, 1438, 3291, 3603, 1148, 3462, 3403, 3445, 2104, 3436, 3455, 1889, 1554, 1510, 573, 3324, 1244, 3173, 3127, 136, 7, 552, 1337, 533, 453, 373, 53, 2422, 2323, 222, 3083, 1542, 269, 133, 2221, 387, 131, 3749, 1481, 322, 1368, 1546, 425, 39, 2077, 1906, 1874, 345, 3938, 2079, 24, 3553, 1944, 2077, 803, 101, 861, 2130, 2111, 229, 1064, 3420, 3298, 1618, 878, 225, 547, 965, 2245, 101, 3637, 265, 39, 1743, 141, 626, 1929, 3244, 3964, 3512, 1836, 3512, 1064, 261, 73, 580, 299, 3171, 571, 1891, 1229, 644, 2016, 843, 992, 851, 977, 9, 2053, 2323, 135, 1061, 3197, 3591, 135, 825, 133, 3083, 88, 264, 93, 2881, 2038, 97, 3386, 1754, 2664, 1357, 3958, 1830, 3685, 1034, 430, 805, 2106, 2837, 2566, 2322, 3727, 525, 3279, 2440, 1287, 2271, 811, 103, 2145, 2872, 2319, 1064, 3609, 1803, 136, 1288, 2565, 2975, 2533, 2569, 2660, 1169, 3725, 107, 1990, 1252, 1413, 2139, 437, 2218, 1539, 3829, 478, 4075, 27, 2268, 401, 229, 1277, 1297, 526, 109, 3137, 406, 29, 157, 655, 1254, 632, 94, 41, 2453, 2699, 2386, 169, 3470, 616, 541, 1256, 13, 1040, 454, 524, 13, 1816, 2072, 838, 904, 455, 137, 3335, 3083, 3091, 23, 1545, 2310, 793, 821, 436, 333, 16, 1617, 549, 1884, 3014, 14, 1129, 181, 121, 23, 489, 2377, 3781, 1118, 3087, 2313, 2437, 720, 2270, 2039, 3865, 1804, 3371, 173, 3970, 2876, 386, 2876, 3830, 3202, 3278, 2857, 3970, 828, 386, 2876, 118, 3202, 3150, 3053, 1892, 1234, 3204, 1746, 3093, 1828, 2046, 1630, 1947, 1544, 2401, 2018, 930, 880, 1144, 1628, 3676, 1130, 2337, 965, 2199, 1346, 1368, 3167, 3456, 3434, 1386, 283, 102, 550, 2123, 221, 1116, 621, 39, 1069, 923, 1436, 2411, 62, 1482, 3544, 1736, 1673, 1035, 1783, 1465, 1365, 133, 3085, 2346, 1002, 1078, 2810, 3578, 2362, 2377, 2438, 2125, 2173, 408, 1558, 1486, 2565, 2197, 2579, 1431, 1514, 2437, 3164, 316, 1257, 223, 3349, 3482, 3994, 3358, 1671, 53, 553, 2376, 2397, 2847, 865, 3934, 222, 1098, 29, 1165, 1831, 2363, 282, 3167, 13, 2319, 238, 2410, 3706, 2066, 1398, 1372, 3717, 3474, 454, 2404, 2402, 411, 37, 3847, 590, 1086, 1356, 423, 1492, 1429, 3481, 1109, 393, 2188, 558, 870, 353, 2469, 142, 173, 3682, 1631, 1437, 234, 2852, 1866, 2834, 2774, 3294, 1534, 1494, 2409, 532, 39, 1177, 3994, 1078, 762, 3834, 2362, 2377, 2438, 2125, 2167, 408, 1558, 1486, 2565, 2133, 1555, 1435, 1530 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2437, 3676, 2556, 1440, 1243, 3354, 3482, 2970, 3358, 1735, 373, 553, 2120, 2393, 799, 3939, 3934, 862, 1102, 2077, 1165, 1398, 650, 2360, 521, 833, 3077, 842, 2362, 3720, 250, 1297, 3420, 233, 57, 1541, 3254, 2147, 846, 1589, 3420, 2160, 2680, 409, 2697, 1793, 530, 1114, 3916, 1409, 233, 3128, 1553, 1424, 3272, 1734, 2835, 109, 1799, 2912, 3126, 463, 2833, 3528, 546, 2101, 2782, 3428, 21, 1083, 2055, 543, 3505, 3895, 1479, 2819, 880, 851, 1581, 2639, 338, 1587, 2578, 2399, 1434, 2605, 2777, 1347, 1699, 2933, 4007, 1181, 3761, 1066, 598, 2813, 3105, 2910, 1967, 1039, 1050, 2047, 2440, 1093, 1122, 1608, 2709, 2712, 3547, 2406, 2728, 2831, 2367, 1471, 3795, 1965, 2495, 3517, 2666, 3134, 1809, 557, 1643, 1627, 2398, 2394, 2937, 811, 1352, 3384, 2403, 2460, 1118, 539, 53, 3339, 1605, 666, 1298, 1354, 2154, 1401, 506, 1181, 677, 1308, 331, 1674, 3724, 952, 1227, 1618, 1274, 1860, 3931, 20, 3099, 514, 598, 800, 59, 1274, 4034, 1430, 3930, 3413, 1754, 553, 1434, 2362, 3292, 106, 126, 1868, 1617, 557, 2642, 597, 2648, 3354, 1118, 1533, 30, 2908, 126, 1806, 925, 629, 1041, 585, 698, 1573, 2800, 886, 757, 1316, 593, 437, 1397, 2374, 3676, 412, 1370, 3087, 473, 3630, 583, 2840, 3975, 1849, 3000, 281, 3529, 319, 3930, 2217, 2319, 3412, 3459, 2014, 1816, 858, 3362, 2769, 356, 245, 519, 2336, 1397, 1948, 88, 2439, 1801, 199, 1095, 2971, 527, 3768, 1816, 3882, 503, 1222, 2826, 1806, 1047, 1398, 2426, 1377, 166, 3411, 663, 1072, 324, 2092, 848, 2102, 338, 3142, 948, 1373, 1614, 178, 1282, 2028, 3484, 312, 1378, 479, 3270, 1525, 3335, 46, 166, 3403, 664, 376, 280, 665, 1354, 3117, 1830, 2805, 47, 2760, 661, 2971, 1642, 382, 1186, 1290, 1241, 2427, 1366, 1410, 1177, 1510, 525, 687, 1643, 1306, 2015, 1258, 2206, 2410, 246, 1438, 3113, 2411, 1692, 1994, 2847, 1030, 590, 1642, 2430, 1638, 922, 3202, 3359, 3131, 2892, 874, 2026, 1609, 405, 2101, 231, 1433, 3978, 1030, 2554, 3834, 2322, 2377, 2182, 2125, 2175, 408, 1558, 1486, 2565, 2198, 2110, 1642, 3678, 2579, 1398, 3961, 3765, 434, 454, 2404, 2402, 410, 1061, 3847, 590, 1278, 1357, 1379, 1524, 2456, 1497, 1177, 393, 2188, 542, 870, 353, 2469, 142, 165, 2654, 1636, 1181, 234, 1828, 1874, 2834, 1559, 3298, 1534, 1498, 2409, 520, 39, 1177, 3738, 1078, 2762, 3834, 2322, 2377, 2438, 2125, 2166, 408, 1558, 1486, 2565, 2197, 2579, 1435, 1495, 1544, 2389, 2018, 881, 349, 1208, 1116, 3676, 1130, 2317, 965, 2199, 1347, 1397, 3184, 122, 3433, 3434, 299, 102, 550, 3211, 1245, 1116, 623, 1062, 1037, 923, 3484, 2411, 62, 1484, 3416, 2568, 1657, 2875, 1410, 1841, 565, 1549, 36, 2723, 2086, 2019, 2001, 1935, 737, 1776, 1592, 3092, 99, 3231, 1942, 2613, 2085, 2417, 3157, 3300, 1638, 2486, 3165, 3893, 2058, 2596, 1663, 129, 3871, 625, 2606, 1825, 369, 1278, 2341, 2679, 54, 2084, 1896, 1809, 1994, 2110, 2778, 3439, 2411, 2436, 2853, 909, 2156, 3893, 3098, 3757, 1835, 103, 2220, 3873, 1509, 3139, 1374, 389, 3434, 2469, 1960, 163, 206, 2245, 1846, 2468, 1387, 565 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3224, 1800, 2412, 1811, 513, 3802, 2116, 1319, 2093, 495, 1565, 2026, 1173, 939, 1662, 2279, 1625, 2260, 878, 652, 2150, 126, 1665, 1955, 2277, 2037, 1389, 3109, 3874, 1809, 1004, 3850, 3937, 3114, 925, 393, 2005, 1317, 2833, 2545, 1271, 2920, 999, 929, 2453, 1829, 552, 3137, 3173, 958, 3105, 2110, 3880, 3162, 1624, 2621, 3133, 1917, 2414, 1889, 1829, 3642, 1554, 2577, 2049, 4053, 2618, 3857, 872, 2342, 2085, 2093, 4068, 2341, 969, 2085, 2405, 165, 2095, 2094, 2473, 2792, 2213, 2505, 322, 1368, 1546, 425, 39, 2077, 1906, 1874, 345, 3938, 2079, 36, 3553, 1941, 2077, 802, 3176, 221, 2322, 2111, 229, 1064, 3420, 3554, 1619, 862, 225, 547, 773, 3269, 1416, 2245, 2069, 142, 2861, 552, 2458, 3640, 2212, 3540, 1746, 3220, 1746, 145, 2245, 261, 2193, 1184, 637, 2270, 3455, 805, 2562, 3953, 3361, 3953, 3337, 3336, 163, 775, 1085, 566, 3220, 744, 1037, 3641, 3285, 3593, 25, 1425, 1041, 367, 3318, 1017, 376, 1242, 2906, 2442, 1320, 3530, 3212, 2438, 25, 681, 3207, 219, 583, 2059, 1084, 2608, 2088, 815, 1554, 1070, 879, 811, 103, 2145, 2872, 2319, 1062, 3609, 2827, 136, 1288, 2309, 2975, 2517, 2569, 2660, 1172, 3472, 107, 1990, 1252, 1425, 2137, 437, 2218, 1539, 3829, 478, 4075, 27, 2268, 401, 229, 1277, 1297, 526, 109, 68, 406, 2077, 299, 103, 2365, 1185, 3103, 1166, 617, 678, 2664, 46, 359, 1181, 3211, 265, 3091, 263, 373, 2106, 3079, 457, 525, 3541, 2280, 3190, 145, 711, 146, 49, 101, 3109, 492, 78, 3095, 1033, 3141, 3269, 1729, 1317, 251, 1095, 520, 1664, 3093, 152, 261, 606, 892, 2053, 1909, 3350, 3662, 1107, 2057, 1441, 170, 78, 2055, 3253, 3356, 3892, 328, 162, 625, 2700, 2016, 900, 992, 885, 1260, 3230, 1626, 2414, 1918, 2876, 1666, 1852, 2246, 3125, 3998, 3134, 1894, 2873, 1938, 2876, 3580, 508, 299, 3227, 2297, 3297, 1858, 2873, 3579, 2021, 1812, 1809, 2208, 672, 4064, 886, 3787, 3297, 2013, 3900, 290, 2325, 1405, 1882, 2262, 2586, 395, 3676, 877, 3424, 1126, 1565, 2330, 1099, 350, 2150, 1635, 298, 1932, 340, 318, 1510, 534, 1930, 1656, 1498, 1602, 3164, 3125, 723, 2247, 2248, 535, 3, 2, 48, 3845, 1506, 847, 3846, 166, 3034, 3130, 1613, 1409, 27, 200, 71, 2831, 45, 664, 210, 833, 353, 1029, 2757, 3058, 2956, 3123, 2101, 1633, 1835, 1368, 423, 939, 1863, 3485, 1786, 1629, 1826, 1565, 3376, 3528, 2504, 2685, 1311, 518, 1363, 1029, 2567, 2245, 121, 178, 45, 21, 269, 599, 2247, 3777, 3555, 3014, 2768, 3403, 3906, 182, 2439, 3505, 2932, 2904, 329, 1800, 1355, 3958, 1073, 31, 3515, 1458, 1923, 4087, 3878, 1975, 199, 923, 2145, 90, 3384, 200, 200, 822, 1442, 986, 3922, 1480, 197, 3994, 3981, 1388, 3401, 1229, 1344, 996, 3497, 2773, 2650, 3939, 1330, 4027, 1765, 286, 345, 1372, 2923, 1610, 2379, 1063, 3698, 3180, 1373, 2385, 1309, 2458, 1371, 1370, 2022, 1366, 3536, 3849, 3610, 3574, 56, 456, 2550, 2206, 1298, 2390, 1158, 89, 1073, 577, 3099, 283, 26, 411, 2165, 1565, 8, 161, 3094, 3357, 1248, 181, 607, 3298, 842, 1801, 2509, 518, 417, 90, 216 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1528, 1372, 3335, 1051, 2322, 1370, 1370, 3952, 2001, 1569, 218, 4086, 58, 332, 2089, 1806, 1297, 2083, 86, 2229, 261, 1033, 14, 1297, 2077, 201, 1481, 833, 1345, 1345, 1550, 1887, 266, 1398, 3142, 1895, 3272, 14, 2989, 3546, 1883, 2179, 409, 3670, 2372, 1351, 3590, 348, 3414, 665, 899, 3757, 1370, 2593, 3114, 853, 524, 1637, 2584, 2104, 1825, 3413, 1389, 1845, 3410, 1037, 479, 2197, 2110, 2074, 1866, 1050, 2076, 2377, 1402, 1287, 2393, 278, 335, 3228, 3541, 2173, 1077, 1351, 310, 122, 2330, 3164, 1866, 3308, 3237, 3042, 217, 2226, 3341, 2527, 3353, 1119, 2086, 1269, 72, 453, 517, 117, 74, 1929, 343, 3438, 3077, 225, 2329, 1090, 1946, 1884, 1823, 3077, 2103, 3242, 1402, 2594, 1000, 342, 3419, 1309, 421, 1921, 225, 518, 2817, 2569, 1498, 1534, 1522, 2065, 3706, 1109, 5, 593, 63, 3926, 1926, 48, 666, 3742, 1701, 3309, 2667, 2443, 2674, 3978, 1499, 1567, 106, 563, 2666, 3356, 2570, 3531, 2396, 1355, 2146, 3534, 2078, 3549, 757, 1378, 3441, 1285, 1114, 2581, 3141, 1801, 2167, 1365, 437, 2910, 1136, 1380, 278, 1365, 2334, 1237, 1258, 1802, 1735, 347, 1449, 445, 1227, 327, 1378, 103, 278, 1883, 505, 1370, 1401, 57, 1382, 1034, 2661, 1547, 1273, 809, 2074, 590, 21, 1250, 1370, 1370, 122, 3921, 10, 169, 2586, 317, 197, 158, 3418, 981, 1487, 1098, 1309, 1369, 281, 334, 1369, 2374, 1382, 3085, 1380, 684, 1609, 329, 92, 3269, 53, 2337, 89, 1990, 1029, 5, 3542, 896, 378, 732, 3164, 4050, 219, 3773, 1036, 1482, 1892, 25, 3932, 3557, 1818, 1823, 325, 191, 740, 774, 3110, 2026, 3940, 356, 868, 2906, 3179, 735, 1279, 117, 1419, 349, 166, 1374, 1881, 329, 141, 3417, 25, 485, 310, 1564, 1031, 8, 2309, 93, 218, 3446, 218, 2790, 2245, 82, 3188, 1719, 2581, 310, 1482, 154, 2442, 386, 3026, 2497, 3195, 2143, 2582, 1124, 1478, 601, 1605, 933, 2406, 1047, 1053, 3532, 374, 3182, 3507, 457, 1921, 3885, 66, 2442, 1995, 2313, 2491, 2380, 790, 262, 69, 1357, 482, 1370, 1513, 1804, 1337, 1561, 3084, 20, 1399, 1357, 57, 3903, 1921, 1397, 668, 3597, 18, 23, 3185, 3895, 17, 1409, 1895, 314, 1850, 2106, 165, 599, 343, 76, 1435, 2918, 153, 1373, 2038, 1743, 1290, 281, 1426, 868, 3274, 37, 2245, 2010, 2433, 3162, 405, 329, 1301, 1354, 1065, 3185, 1514, 1282, 1323, 3351, 7, 2824, 9, 1367, 561, 1066, 297, 3450, 86, 1252, 3211, 786, 4057, 1484, 273, 2636, 1123, 1094, 901, 350, 452, 137, 2313, 1045, 1102, 6, 13, 73, 1097, 1097, 1100, 1097, 1094, 2940, 1125, 1147, 337, 1509, 1269, 3398, 465, 108, 1410, 1546, 3536, 3358, 646, 1511, 1030, 342, 933, 1128, 2825, 1373, 1997, 214, 291, 1246, 854, 2166, 1514, 1578, 89, 1581, 277, 3590, 1389, 3866, 406, 1189, 1289, 729, 3929, 1033, 3480, 2839, 2070, 1626, 1309, 860, 468, 199, 866, 278, 3190, 1922, 1112, 1378, 1613, 479, 283, 1346, 1605, 117, 1401, 1100, 1110, 1610, 2058, 250, 3612, 1745, 372, 97, 3481, 2206, 1034, 1487, 30, 917, 1099, 42, 1115, 1837, 110, 292, 1407, 3415, 3419, 1702, 3945, 3026, 225, 2973 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2132, 2090, 2845, 1589, 1050, 2391, 1569, 1749, 1097, 297, 398, 987, 1389, 2641, 1366, 2026, 465, 1062, 1625, 1379, 1154, 3410, 3096, 785, 828, 1400, 823, 3866, 778, 2378, 3093, 418, 532, 1042, 278, 522, 3151, 45, 3653, 2807, 1039, 1141, 1161, 333, 1055, 82, 2669, 2102, 3325, 1100, 1289, 811, 412, 3170, 802, 3590, 2017, 3848, 898, 1339, 972, 1664, 417, 1629, 3291, 546, 138, 1490, 3117, 1565, 923, 1713, 761, 1829, 1610, 1744, 1884, 3507, 1764, 205, 1819, 1408, 470, 509, 3708, 2334, 3272, 782, 3854, 3137, 813, 435, 45, 3411, 201, 647, 2010, 1124, 2380, 789, 2142, 1306, 1942, 3879, 517, 1049, 3618, 345, 3122, 1625, 1365, 3653, 86, 2173, 1098, 265, 1355, 1285, 2337, 1304, 1029, 3147, 3961, 1245, 589, 2654, 3677, 2213, 863, 71, 25, 1222, 1698, 1421, 1287, 203, 3232, 1033, 1032, 269, 2566, 1186, 1528, 325, 645, 1900, 198, 1169, 1042, 1342, 2183, 245, 1367, 27, 1827, 2661, 150, 1814, 348, 346, 15, 2430, 1124, 3486, 678, 3956, 2594, 2567, 1054, 2438, 1033, 472, 1762, 35, 646, 2069, 158, 2069, 6, 13, 290, 2414, 1081, 2827, 330, 2394, 1380, 3592, 80, 102, 1117, 1369, 3419, 885, 2203, 3512, 83, 3139, 23, 2849, 1386, 13, 357, 1530, 3353, 1099, 1089, 3575, 361, 1032, 521, 2373, 778, 2060, 70, 1477, 1032, 354, 1365, 1802, 2527, 33, 2810, 35, 1749, 1482, 2407, 354, 1044, 794, 2329, 95, 1357, 1830, 3174, 2125, 123, 1146, 2117, 1564, 1308, 2169, 1030, 385, 1053, 1205, 1893, 121, 646, 1526, 2049, 45, 1094, 821, 1058, 2054, 3947, 2909, 1032, 1029, 261, 588, 777, 3201, 585, 1373, 2266, 1427, 3526, 3854, 1884, 1158, 527, 377, 677, 197, 1411, 1782, 1274, 143, 3398, 1994, 3292, 3898, 860, 1158, 527, 377, 677, 2082, 2426, 3119, 134, 2481, 2928, 722, 1302, 3325, 1143, 2198, 3913, 2330, 1434, 1242, 346, 1878, 3337, 1621, 1498, 1798, 1350, 1882, 3350, 2892, 1098, 1317, 1130, 1402, 1572, 310, 3317, 3533, 216, 200, 1853, 209, 559, 3581, 242, 1032, 629, 33, 90, 3381, 3125, 265, 1062, 2871, 716, 809, 602, 3101, 605, 1496, 1031, 1378, 3991, 3242, 774, 3102, 345, 1354, 1109, 1564, 76, 1874, 346, 346, 1320, 2632, 2652, 1116, 1110, 2309, 1243, 1877, 1380, 206, 3398, 1532, 1418, 1563, 151, 1902, 2445, 285, 119, 14, 29, 1542, 545, 140, 1289, 1498, 1557, 969, 263, 2201, 1156, 2377, 1835, 1098, 4073, 4013, 1094, 3955, 2185, 3461, 1083, 1585, 561, 3387, 437, 3013, 3399, 14, 3162, 3746, 1530, 1526, 2769, 2011, 2417, 3793, 2289, 2775, 3295, 1407, 19, 1947, 1639, 2831, 428, 3115, 1670, 3997, 1530, 2726, 1375, 2986, 1584, 1758, 2602, 1718, 3359, 398, 2476, 351, 904, 108, 3348, 775, 2778, 2343, 1302, 1147, 85, 2246, 2246, 3429, 1510, 3101, 1886, 1306, 709, 3445, 346, 342, 3869, 98, 1401, 634, 3401, 3297, 3850, 197, 37, 851, 2154, 14, 1898, 1292, 330, 340, 2588, 378, 2181, 3155, 1626, 4042, 1868, 2252, 415, 3858, 1879, 2056, 3420, 221, 1528, 3489, 1052, 3274, 2508, 2513, 64, 2140, 1012, 1464, 2539, 3382, 1973, 906, 1132, 252, 3282, 1228, 453, 792, 1540, 2362, 3788, 1277 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2553, 2587, 602, 1566, 2309, 3525, 549, 2823, 1491, 2524, 3436, 1506, 468, 274, 2549, 842, 1156, 784, 3450, 1947, 636, 923, 2077, 867, 2138, 331, 2533, 3699, 2668, 3361, 1365, 350, 3402, 1130, 2266, 1530, 3618, 3434, 1387, 218, 386, 426, 1385, 3168, 248, 218, 1590, 3594, 3197, 3402, 616, 1349, 3117, 1146, 3351, 318, 3279, 1288, 62, 1665, 4026, 2568, 2619, 3499, 2946, 54, 1538, 1410, 3702, 3613, 138, 114, 2414, 1662, 3237, 3358, 3210, 204, 1501, 1949, 2140, 1900, 71, 14, 3693, 3641, 96, 3704, 3346, 44, 798, 1366, 1417, 3820, 1401, 1705, 2610, 3418, 378, 3422, 2671, 2501, 1386, 2410, 780, 2249, 31, 534, 2523, 1945, 310, 2501, 155, 2094, 2556, 2732, 1512, 74, 1448, 3335, 609, 73, 3158, 1355, 230, 475, 3577, 2321, 298, 1495, 2170, 2441, 1622, 1370, 1162, 1613, 3660, 3125, 3604, 2442, 3450, 3164, 106, 3193, 2382, 1149, 2696, 3178, 2602, 487, 3643, 1542, 1338, 366, 3676, 3446, 2265, 1119, 2504, 202, 409, 2599, 2460, 3573, 2158, 2298, 1386, 2346, 405, 2118, 1302, 2440, 2070, 1390, 2017, 3192, 506, 1338, 1306, 1926, 1437, 2650, 2010, 474, 1030, 1434, 3690, 570, 3798, 285, 2389, 1679, 3074, 333, 1670, 136, 1145, 2878, 2089, 3025, 3217, 117, 3604, 1045, 1496, 1314, 1224, 588, 2562, 789, 1430, 2533, 3165, 3114, 1338, 3591, 1322, 77, 1576, 1420, 838, 28, 1875, 42, 394, 2536, 1898, 783, 335, 1677, 2055, 1910, 2652, 1038, 2378, 3647, 1551, 2380, 1818, 457, 1402, 292, 1431, 2454, 603, 1405, 3510, 3409, 28, 2343, 1492, 2434, 2541, 2550, 2990, 2393, 778, 3654, 3740, 3164, 1660, 118, 3229, 210, 140, 145, 1026, 986, 3746, 1386, 90, 2462, 3550, 2070, 1520, 2011, 1052, 1298, 1932, 3973, 1960, 3437, 2659, 1544, 483, 284, 3103, 2365, 3832, 3410, 586, 1868, 2652, 1392, 1499, 426, 3038, 2486, 1754, 373, 1405, 473, 1938, 1473, 4066, 3979, 1110, 2580, 1433, 1849, 1309, 1310, 1601, 2026, 1825, 2498, 285, 1387, 362, 2596, 1365, 142, 3333, 3382, 1953, 1842, 3576, 1799, 14, 61, 3086, 1014, 1044, 2466, 3654, 1305, 3102, 1358, 3611, 304, 3086, 3898, 2885, 1817, 1533, 1816, 1402, 3818, 2105, 1385, 1494, 1361, 41, 3081, 2654, 2086, 2317, 2314, 1422, 1970, 3668, 3204, 3196, 2383, 3174, 1925, 2329, 1650, 3933, 3227, 142, 550, 2582, 2519, 2407, 322, 453, 2412, 1387, 454, 262, 2259, 1694, 1451, 3168, 2322, 346, 2550, 1640, 3846, 573, 3214, 2945, 84, 1829, 3871, 1466, 1876, 448, 1804, 3172, 1958, 826, 234, 1914, 3861, 606, 2018, 222, 1662, 2375, 1436, 3541, 3487, 1950, 3114, 3194, 3272, 2489, 478, 1354, 1940, 1082, 3589, 1313, 605, 3184, 3176, 927, 2257, 127, 4050, 1257, 1934, 1489, 648, 3115, 2069, 1820, 3346, 2111, 29, 2465, 1110, 905, 885, 953, 3246, 278, 65, 1596, 3240, 1625, 500, 1349, 3087, 1096, 246, 2778, 106, 1287, 1401, 1505, 386, 1358, 1940, 996, 3934, 1929, 2238, 388, 897, 1329, 1812, 244, 3868, 3002, 2678, 2689, 1725, 1303, 968, 1809, 1573, 3126, 2917, 2020, 3, 2, 1833, 3912, 2069, 2312, 1795, 86, 290, 1386, 2088, 1527, 89, 2061, 1105, 2497, 1307, 25, 517, 2010, 738, 3058, 220, 265, 282 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 209, 527, 2054, 1082, 610, 1034, 3078, 278, 2757, 1356, 3164, 3113, 345, 3178, 1046, 1498, 3409, 2469, 220, 2492, 3581, 1313, 1116, 398, 1798, 1806, 3087, 23, 1702, 2946, 3082, 481, 1370, 1386, 2434, 337, 389, 1221, 1353, 1371, 62, 201, 140, 2657, 3914, 2422, 3669, 829, 1995, 795, 449, 1029, 58, 3388, 3482, 2501, 1990, 1298, 1335, 1116, 414, 2145, 161, 1061, 426, 2330, 3418, 1884, 1293, 23, 277, 1037, 2409, 165, 1240, 1122, 1355, 91, 1185, 24, 710, 198, 3398, 1311, 2189, 3217, 3205, 3924, 3549, 2944, 1739, 738, 3154, 3940, 505, 3102, 1632, 1302, 3916, 3364, 2017, 1714, 1372, 2390, 225, 253, 35, 400, 359, 1229, 1365, 1141, 151, 1114, 55, 797, 2053, 1122, 261, 197, 1803, 82, 2821, 73, 23, 1114, 1402, 821, 13, 1093, 1157, 182, 1484, 1352, 1404, 1513, 406, 1034, 1045, 1301, 91, 730, 518, 1094, 1366, 1303, 1362, 1286, 1286, 1099, 348, 794, 3107, 2134, 1035, 473, 2326, 1102, 2194, 1286, 2907, 9, 3350, 14, 1356, 2904, 713, 375, 3084, 2375, 662, 2202, 282, 1369, 2186, 795, 202, 892, 2138, 2194, 225, 263, 7, 69, 540, 1308, 1742, 1766, 3622, 3167, 1583, 2060, 1840, 1645, 2102, 1678, 3270, 2215, 3467, 89, 1156, 2726, 2512, 1672, 1527, 1188, 3501, 574, 3743, 1643, 1438, 1640, 2596, 237, 1041, 318, 2398, 2654, 1899, 1563, 2577, 3730, 3938, 3450, 3386, 2779, 2947, 1898, 1881, 1568, 1350, 2439, 2457, 116, 2285, 2036, 1451, 426, 2410, 2670, 2358, 2443, 2399, 1647, 478, 397, 2366, 1675, 395, 395, 267, 422, 2972, 1950, 1666, 3744, 1882, 2454, 1131, 2464, 2462, 2150, 2154, 2922, 2410, 2414, 2254, 2930, 2150, 2926, 2697, 1642, 1273, 92, 1118, 1438, 406, 1355, 113, 409, 279, 2602, 2373, 60, 348, 368, 3110, 1643, 370, 1226, 2530, 919, 414, 1323, 1882, 1325, 353, 1318, 1493, 2076, 1733, 1269, 1788, 40, 257, 2835, 459, 1931, 1009, 1685, 4048, 236, 1253, 3159, 723, 1527, 982, 1565, 677, 2053, 262, 1542, 1945, 3675, 598, 620, 1369, 796, 1182, 1547, 1862, 1292, 1542, 2327, 602, 302, 1622, 3209, 1962, 3852, 1402, 1440, 1399, 2086, 3157, 1070, 2908, 508, 1753, 1643, 1018, 3690, 89, 390, 601, 10, 2395, 1260, 1381, 1606, 3422, 1683, 1186, 1130, 18, 3095, 1434, 373, 2155, 1335, 1638, 417, 3426, 1410, 1482, 1625, 2300, 886, 3646, 679, 1336, 974, 1356, 877, 3615, 273, 3593, 2666, 434, 3876, 501, 3199, 3929, 1552, 1338, 1370, 1062, 3371, 1626, 1882, 503, 1558, 517, 2462, 1849, 3189, 3100, 3146, 2394, 1512, 514, 1817, 2180, 34, 548, 1746, 3855, 1077, 1992, 1421, 3998, 1606, 2011, 2582, 3940, 1051, 522, 2522, 1305, 2682, 3452, 1910, 2421, 1846, 3142, 1399, 98, 412, 354, 1287, 973, 2529, 1484, 2553, 76, 510, 2136, 3613, 1388, 2078, 2534, 1812, 1441, 24, 513, 3172, 3271, 1043, 4012, 1492, 1403, 2714, 1103, 3741, 1734, 26, 882, 1107, 2084, 790, 1037, 775, 1506, 1098, 2141, 3958, 1978, 1249, 1857, 978, 3322, 1595, 1178, 2644, 2275, 1946, 4004, 102, 3730, 1440, 3457, 3927, 1813, 250, 1515, 247, 2387, 1435, 1177, 2897, 1490, 306, 615, 3419, 2122, 2144, 1426, 3914, 1660, 2102, 3690, 56 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 158, 311, 269, 3189, 156, 488, 1480, 1142, 2685, 1658, 2049, 1145, 3321, 238, 609, 1646, 1402, 1868, 1462, 920, 1811, 546, 1882, 1693, 826, 3337, 1820, 1400, 1889, 2337, 283, 1570, 987, 540, 904, 4020, 1948, 132, 1530, 426, 1276, 1237, 245, 1512, 3217, 2103, 1556, 1074, 357, 917, 1294, 1570, 1291, 1528, 254, 353, 173, 129, 2246, 1613, 3927, 1861, 971, 1556, 547, 2007, 863, 123, 128, 1601, 2710, 3236, 1955, 3902, 3170, 586, 3848, 1884, 2053, 2709, 793, 2379, 1509, 2909, 485, 2881, 1170, 779, 2659, 1051, 610, 1495, 1892, 822, 2439, 511, 227, 1253, 1894, 2708, 2626, 205, 197, 2331, 1630, 1511, 1314, 1371, 1610, 3914, 3526, 3115, 1036, 349, 2001, 1802, 2297, 603, 636, 3161, 2896, 310, 3193, 3891, 254, 363, 2167, 1309, 596, 471, 2249, 1911, 17, 1770, 1507, 1674, 3121, 249, 210, 3449, 2107, 2309, 2646, 623, 1122, 1450, 2383, 155, 3504, 3418, 395, 381, 3633, 1937, 2962, 123, 815, 3594, 3290, 574, 3083, 915, 1592, 1934, 1077, 3191, 977, 3933, 817, 3951, 2942, 120, 2003, 973, 1827, 131, 1155, 554, 165, 3910, 1834, 1541, 3467, 2188, 1402, 1603, 2377, 918, 237, 1924, 1378, 2460, 3432, 553, 597, 2040, 350, 1410, 1473, 996, 3106, 1884, 1730, 3516, 3317, 1083, 363, 3048, 140, 1124, 464, 476, 3560, 2810, 2029, 1636, 859, 1234, 2437, 1861, 545, 2057, 1144, 40, 897, 3484, 1638, 823, 1676, 6, 3352, 1126, 1500, 1306, 3483, 1644, 1870, 2404, 163, 354, 309, 1339, 2842, 1285, 470, 3145, 1305, 3670, 2397, 2006, 1901, 1510, 3593, 353, 1805, 2026, 346, 3202, 75, 1634, 1431, 1385, 275, 2138, 779, 1558, 1304, 317, 1357, 262, 2130, 3362, 1165, 1356, 3830, 22, 1242, 1801, 1480, 1289, 1932, 834, 1685, 1370, 3089, 3935, 1818, 2462, 104, 52, 2377, 165, 1291, 1818, 1314, 2806, 1642, 181, 1127, 485, 1296, 1482, 166, 34, 3077, 77, 1285, 1638, 91, 3083, 349, 6, 275, 3357, 1389, 2425, 1500, 2373, 2643, 41, 2908, 581, 2061, 133, 47, 1926, 1669, 862, 1809, 785, 520, 1614, 620, 1428, 1409, 1627, 1421, 538, 1489, 1418, 1344, 1370, 1429, 2522, 1629, 23, 148, 36, 3041, 761, 2809, 757, 2812, 768, 350, 2145, 209, 2155, 2569, 1789, 508, 3545, 768, 3793, 929, 2918, 2912, 412, 2004, 2851, 351, 1616, 2357, 1503, 3563, 3310, 1204, 1552, 618, 1760, 2269, 32, 3134, 520, 3125, 2055, 798, 1038, 2063, 2319, 2514, 1424, 46, 1766, 1585, 43, 3483, 260, 286, 1224, 2016, 1973, 568, 271, 2064, 208, 284, 1793, 121, 864, 476, 3025, 1457, 2236, 1451, 2505, 3494, 2027, 2438, 3913, 3172, 201, 3088, 3549, 800, 3576, 793, 2006, 2522, 3868, 3879, 236, 456, 1374, 3028, 2435, 372, 372, 2876, 1328, 3269, 740, 1805, 2998, 2312, 1355, 1383, 2883, 1410, 611, 3289, 469, 1736, 2452, 356, 1442, 1935, 2831, 3869, 424, 795, 1817, 258, 1436, 3088, 1500, 1857, 3521, 1395, 817, 828, 1851, 2530, 3856, 969, 1826, 1496, 3036, 946, 1484, 570, 1815, 1344, 1992, 276, 1283, 2872, 210, 3416, 3138, 3537, 1042, 1131, 988, 821, 4067, 1452, 3508, 1970, 2146, 3917, 732, 141, 1532, 816, 3272, 3905, 3164, 2561, 3867, 355, 4058 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2392, 760, 3403, 731, 1484, 881, 1426, 317, 3786, 568, 2408, 2323, 1430, 3883, 2217, 1532, 1892, 920, 3290, 1036, 2356, 3413, 1969, 1810, 2104, 3583, 3317, 2352, 498, 380, 2033, 80, 3109, 132, 1845, 2881, 2588, 1997, 2400, 421, 897, 467, 841, 2436, 222, 459, 2381, 3041, 1061, 1788, 1632, 267, 1798, 1884, 3572, 3344, 15, 3425, 1552, 357, 3868, 3857, 1601, 1210, 1137, 2716, 1070, 2833, 1613, 2186, 2379, 2389, 2010, 1031, 2256, 4057, 5, 2044, 795, 928, 3033, 3933, 2801, 2153, 1828, 291, 1425, 845, 2259, 2915, 1448, 35, 333, 1131, 2146, 2326, 646, 1229, 3481, 3983, 241, 2701, 1438, 3613, 600, 4029, 723, 2279, 1525, 3276, 1496, 841, 1952, 484, 3173, 538, 3899, 1205, 3317, 3313, 352, 187, 1502, 2906, 1740, 3713, 1740, 2433, 130, 1484, 794, 3590, 3845, 3504, 1842, 3034, 1247, 284, 1662, 1888, 1498, 1439, 2322, 636, 1374, 2851, 1186, 638, 1762, 1538, 1101, 3936, 3425, 3249, 3211, 2471, 292, 277, 930, 2312, 2506, 2282, 1968, 467, 1232, 978, 1484, 1883, 2110, 2822, 2812, 471, 1797, 3138, 457, 3939, 3585, 1768, 3905, 1825, 1506, 2040, 356, 2343, 248, 56, 1797, 3426, 1850, 3896, 421, 3301, 2923, 1886, 1842, 1658, 1497, 3708, 3297, 1402, 1758, 2593, 855, 1949, 2139, 1522, 1616, 1569, 3211, 2372, 1336, 1376, 279, 2409, 1451, 778, 1629, 3894, 1190, 2104, 2505, 3614, 1912, 1921, 379, 1054, 406, 2148, 1369, 3489, 421, 389, 4057, 1306, 3361, 2389, 117, 1701, 233, 1122, 2079, 258, 1115, 1406, 2298, 3939, 3432, 2313, 3610, 3538, 485, 3145, 2201, 1653, 1717, 1397, 1544, 26, 3422, 3176, 1318, 410, 278, 842, 537, 167, 5, 56, 1657, 1240, 1381, 3912, 1084, 167, 3213, 106, 1086, 1770, 504, 2147, 1821, 349, 3227, 1627, 1407, 1272, 2488, 3419, 934, 56, 677, 1591, 1461, 3178, 1562, 2011, 236, 2869, 1033, 267, 37, 1800, 40, 133, 3179, 24, 1542, 2061, 1900, 40, 137, 1621, 2084, 970, 2072, 2085, 132, 347, 287, 1301, 665, 3654, 3579, 1323, 3814, 29, 839, 474, 8, 1333, 1381, 24, 1355, 1833, 2682, 1395, 3814, 1444, 1119, 14, 2613, 3813, 58, 2704, 2177, 3230, 1090, 3847, 4043, 1853, 12, 2466, 890, 2105, 2196, 1451, 2278, 1309, 512, 3612, 411, 1410, 1320, 414, 2829, 395, 3749, 3576, 3483, 3967, 791, 1327, 906, 607, 523, 3367, 3822, 3150, 2465, 2970, 211, 2381, 531, 1630, 773, 2475, 2652, 1573, 3098, 3227, 1771, 57, 1413, 252, 1319, 3337, 544, 3869, 2094, 2334, 137, 3291, 209, 1614, 3689, 3273, 1626, 1929, 2120, 2589, 786, 281, 1081, 525, 1602, 1911, 1538, 1630, 2022, 139, 1572, 1042, 1352, 3773, 1675, 3309, 301, 2065, 2650, 266, 3305, 1086, 633, 1602, 1483, 2761, 3539, 410, 3239, 651, 319, 1689, 619, 2575, 2597, 813, 1738, 781, 2325, 2055, 1306, 2869, 2160, 3417, 1675, 1627, 2190, 1807, 3678, 1573, 813, 3420, 198, 2651, 390, 3305, 1209, 1213, 1539, 232, 2601, 3595, 361, 1300, 414, 1342, 1562, 3931, 2656, 3046, 45, 1613, 781, 2519, 525, 284, 3996, 2158, 1438, 3722, 1451, 2184, 3209, 3743, 1791, 1391, 1628, 135, 2602, 276, 693, 1033, 1953, 1413, 1815, 2666, 1631, 312, 2439, 169, 701, 1722 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3698, 2403, 1295, 173, 1291, 954, 2582, 3533, 1562, 4041, 2140, 2359, 651, 2975, 209, 2317, 3673, 1607, 1327, 1297, 2129, 2593, 275, 3353, 1081, 669, 1345, 550, 2713, 775, 281, 1677, 922, 3471, 2939, 31, 2651, 1511, 109, 1547, 141, 1302, 271, 3883, 3957, 2223, 1771, 1931, 1567, 146, 15, 3741, 1547, 2399, 1689, 2183, 2591, 390, 3365, 1209, 1069, 1603, 39, 1387, 1603, 366, 2504, 669, 318, 2335, 518, 2375, 1317, 831, 1292, 645, 1285, 2439, 2585, 3893, 475, 475, 476, 3099, 525, 1053, 1031, 1670, 2673, 1813, 815, 1754, 267, 539, 141, 3289, 183, 1293, 2354, 1318, 2823, 1565, 650, 2337, 136, 1613, 3673, 3, 2, 2550, 3624, 3244, 3579, 3286, 3483, 1275, 2027, 3422, 1670, 1515, 3591, 927, 29, 2677, 133, 1589, 485, 1145, 1925, 3659, 2315, 485, 844, 2101, 1825, 3084, 277, 146, 3189, 1815, 14, 3883, 16, 460, 129, 2209, 38, 3590, 1105, 2121, 623, 2311, 1339, 1406, 1710, 2109, 134, 1077, 2110, 3970, 3322, 1800, 3073, 2377, 3717, 3630, 3141, 2582, 3083, 123, 2058, 3154, 1608, 2533, 1142, 2826, 2347, 7, 3411, 2175, 1497, 1291, 108, 614, 491, 3241, 2188, 2397, 105, 2571, 2649, 539, 338, 1665, 737, 392, 2083, 395, 117, 2442, 2025, 981, 251, 209, 2065, 1503, 2381, 3096, 3677, 3341, 4086, 2461, 6, 3157, 3673, 3382, 1941, 981, 3501, 918, 3606, 822, 203, 2590, 680, 841, 1542, 3134, 2316, 3339, 2590, 2571, 2569, 1029, 2631, 1615, 2403, 358, 3103, 1356, 2714, 1429, 1563, 1374, 1387, 1294, 2369, 3126, 1437, 554, 1815, 408, 3018, 1995, 1625, 526, 250, 2682, 1363, 345, 48, 1022, 1407, 2154, 2072, 2317, 782, 2398, 1386, 1157, 1701, 170, 1176, 346, 1662, 1625, 3671, 2383, 1234, 2393, 2650, 2443, 773, 1672, 1114, 1017, 1676, 861, 92, 485, 545, 2073, 203, 795, 987, 284, 324, 130, 401, 1569, 2274, 3953, 2360, 2078, 998, 3933, 3417, 1385, 358, 1833, 2951, 805, 2365, 212, 3625, 857, 1730, 3117, 35, 1317, 3990, 2443, 331, 2710, 3606, 3589, 425, 117, 555, 1230, 2847, 1036, 1059, 151, 263, 362, 1370, 3525, 1562, 2501, 1371, 10, 1372, 3418, 2339, 2385, 1868, 3022, 5, 1101, 2083, 77, 2203, 2515, 2671, 2055, 1286, 2189, 3495, 1916, 3141, 2433, 824, 1197, 3877, 422, 1576, 37, 69, 3109, 397, 822, 3145, 293, 2017, 888, 3818, 669, 3509, 3105, 712, 1787, 3462, 4003, 1505, 1515, 2691, 2129, 2831, 3756, 1458, 403, 1682, 996, 3371, 3243, 2451, 1660, 3839, 399, 3692, 969, 2487, 2462, 1629, 1861, 2353, 3107, 786, 2921, 2716, 1497, 3169, 3538, 3579, 2475, 1451, 2614, 1569, 4000, 118, 3107, 2493, 4045, 1937, 415, 1950, 2371, 1602, 1523, 2826, 4000, 4032, 1558, 2475, 3139, 479, 1860, 930, 2722, 3849, 3705, 3573, 3576, 2284, 409, 1691, 775, 1481, 3756, 999, 1536, 775, 1311, 1883, 1511, 2203, 1939, 1484, 1307, 2529, 3680, 2437, 2460, 2399, 2494, 3858, 291, 1580, 33, 1164, 2492, 1543, 1727, 1054, 477, 1659, 1565, 542, 1658, 318, 2656, 3553, 2315, 1693, 3459, 812, 2720, 21, 798, 1555, 3651, 1480, 1548, 1452, 2717, 779, 2361, 3613, 472, 4049, 780, 1536, 361, 438, 3107, 1735, 2520, 3041, 224, 2367, 477 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 159, 199, 1574, 3059, 225, 1672, 1675, 363, 3966, 174, 3935, 1299, 3918, 2597, 3679, 778, 4027, 528, 2591, 486, 894, 2683, 665, 1436, 1755, 3463, 3751, 1449, 1133, 2196, 1995, 145, 3980, 594, 3968, 1500, 800, 2667, 205, 1434, 2714, 3368, 2257, 430, 3347, 3829, 1611, 415, 479, 3545, 3216, 3558, 3383, 1705, 3285, 16, 1533, 696, 3041, 216, 3019, 577, 2484, 356, 1514, 1527, 3007, 218, 962, 25, 1453, 313, 3751, 31, 1299, 1631, 2525, 172, 3420, 3439, 1389, 2372, 37, 146, 1631, 155, 1483, 3091, 1815, 2210, 1567, 376, 187, 199, 2631, 2629, 2709, 681, 174, 47, 1039, 2311, 2629, 2709, 681, 174, 47, 1039, 2311, 2629, 2709, 681, 174, 47, 1039, 2311, 2629, 2709, 681, 174, 47, 1039, 2311, 2629, 2709, 681, 174, 47, 1039, 2311, 2373, 2709, 681, 174, 47, 1039, 2311, 2629, 2709, 681, 174, 47, 1039, 2311, 1548, 1148, 879, 1559, 415, 611, 892, 3089, 160, 379, 1695, 1304, 3136, 1080, 1079, 466, 3423, 803, 2203, 1735, 803, 1936, 1695, 839, 2707, 2046, 59, 1560, 1281, 1195, 3439, 2117, 1563, 413, 198, 2505, 1183, 1678, 3343, 1120, 3932, 1426, 923, 3483, 1511, 2167, 1411, 1559, 1594, 1484, 1693, 1547, 925, 1129, 2563, 446, 2459, 2668, 3530, 1662, 2411, 1817, 2929, 3640, 3314, 1798, 1567, 2504, 2464, 1037, 1887, 1643, 1730, 2360, 3240, 3229, 3677, 1677, 1301, 1601, 1673, 3318, 1649, 2520, 1323, 459, 46, 3335, 97, 157, 201, 186, 72, 1339, 1549, 45, 13, 2063, 141, 3335, 3040, 886, 3339, 3285, 667, 3413, 1370, 1370, 1386, 1434, 3036, 392, 1818, 2896, 696, 1810, 1754, 2946, 210, 3200, 1275, 3300, 1854, 1809, 3905, 3148, 3532, 3034, 3089, 3925, 3525, 504, 3316, 1819, 3297, 1508, 2012, 835, 3324, 929, 458, 2676, 1521, 481, 3128, 208, 2848, 885, 3328, 456, 218, 332, 1014, 2876, 228, 925, 3016, 209, 804, 2020, 2404, 1809, 3960, 1520, 2080, 898, 1912, 2433, 3953, 3530, 16, 142, 1809, 2421, 1509, 1856, 716, 3894, 3281, 3456, 18, 1532, 1921, 3089, 1889, 3953, 3350, 3128, 3202, 3320, 3512, 1996, 825, 1848, 1538, 1892, 1493, 1804, 980, 3204, 3512, 1289, 3964, 3320, 272, 992, 840, 1816, 3556, 3204, 3203, 3512, 3448, 2001, 1270, 252, 1028, 1746, 3938, 3272, 56, 1526, 1436, 1658, 3928, 3314, 4049, 2132, 3560, 2276, 3502, 2924, 1646, 1118, 25, 1307, 1386, 2200, 3090, 2452, 31, 134, 2412, 1038, 1045, 607, 1864, 156, 1258, 2524, 3512, 1798, 3190, 1285, 3417, 3162, 39, 1551, 121, 2498, 2712, 3771, 1873, 3333, 3420, 90, 1182, 922, 729, 1451, 1887, 1845, 2597, 549, 2309, 1035, 6, 136, 57, 10, 343, 246, 102, 4046, 1695, 2108, 860, 1349, 3486, 924, 622, 2190, 1125, 3125, 117, 1816, 836, 1661, 1247, 1641, 285, 1565, 1181, 3807, 1708, 3284, 1613, 3637, 1181, 367, 2462, 1541, 1150, 1627, 1626, 3908, 1310, 414, 1591, 2154, 3132, 155, 1353, 4041, 3549, 432, 2649, 3937, 3679, 1443, 161, 1443, 1322, 2322, 1693, 572, 2046, 1947, 1609, 3421, 1635, 1437, 3243, 1369, 863, 1358, 2393, 3485, 1134, 1646, 3275, 3689, 1562, 2568, 3418, 2590, 1658, 3246, 1921, 3420, 1484, 1543, 1927, 1484, 1946, 2580, 1489, 2378 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1454, 1708, 542, 398, 3695, 629, 3656, 246, 2415, 970, 247, 2646, 3689, 2413, 1133, 3629, 2834, 2520, 3626, 2347, 2133, 1569, 2553, 3178, 1597, 1906, 1018, 1433, 207, 1136, 2113, 1544, 1602, 2184, 3414, 629, 1038, 2319, 1436, 2600, 828, 3609, 929, 2260, 2481, 3187, 567, 115, 1800, 2314, 677, 1991, 505, 3297, 203, 2294, 2409, 602, 2421, 2079, 1622, 2088, 2488, 504, 2022, 2202, 2150, 2502, 1910, 542, 1822, 1389, 3357, 91, 1574, 2402, 3318, 3061, 1602, 1845, 1389, 1596, 3613, 2410, 2078, 1897, 2686, 1772, 2088, 610, 414, 2591, 746, 1633, 479, 757, 231, 3540, 3340, 214, 3425, 442, 1325, 1438, 2841, 2036, 606, 2412, 996, 373, 1846, 4024, 136, 198, 3937, 357, 3112, 810, 2078, 3300, 238, 1690, 2421, 2151, 1903, 1249, 1298, 2305, 2171, 3292, 3646, 2486, 2179, 856, 1828, 2936, 2268, 2126, 2652, 94, 3356, 607, 1525, 3500, 1834, 1276, 2260, 1228, 2506, 3498, 2310, 417, 2404, 1117, 494, 2602, 2022, 1602, 2146, 866, 877, 3670, 3965, 357, 266, 1624, 2074, 2596, 920, 490, 3502, 3389, 3706, 3373, 1658, 1562, 2278, 2296, 2280, 3178, 3930, 3704, 3557, 680, 3580, 3456, 3714, 863, 2677, 382, 3672, 3109, 170, 3170, 245, 2056, 3426, 1654, 2426, 3454, 3576, 3149, 2422, 2424, 3157, 2098, 2019, 1986, 977, 3940, 3938, 2010, 1810, 1878, 682, 1875, 2974, 3938, 1889, 1875, 1834, 2413, 642, 1198, 2727, 2433, 2422, 606, 2918, 2085, 3858, 3622, 3678, 3715, 1077, 3101, 1901, 3682, 2141, 3562, 1822, 2655, 1402, 1894, 2250, 2268, 1963, 1844, 1686, 2194, 2674, 1862, 1190, 2506, 3301, 3934, 2085, 1391, 938, 2405, 2154, 1886, 3858, 1702, 1956, 3034, 2613, 3867, 1571, 3581, 51, 2454, 56, 1953, 3640, 1002, 1249, 934, 3192, 3978, 4060, 1095, 2645, 190, 2698, 2407, 787, 1383, 2286, 1657, 19, 2257, 1638, 1441, 3484, 2267, 2034, 2001, 2830, 1481, 3080, 2654, 1926, 2159, 996, 1820, 870, 4045, 3166, 623, 34, 3306, 1907, 2580, 780, 3085, 193, 3681, 434, 2407, 1831, 2145, 1372, 1346, 1937, 3734, 2826, 2133, 3970, 2876, 3182, 2076, 3639, 2177, 354, 1710, 3101, 1745, 1847, 2974, 1054, 2834, 1890, 1617, 1256, 3324, 2075, 2399, 3655, 3958, 2236, 3570, 1448, 2213, 1892, 2307, 2394, 3190, 1658, 2920, 2586, 2876, 3450, 3577, 1346, 1836, 1883, 1626, 2465, 3443, 3305, 1986, 2850, 1906, 1797, 3906, 1782, 1964, 1483, 3290, 3607, 913, 3961, 2641, 529, 805, 2101, 23, 570, 903, 2826, 3078, 1797, 782, 1822, 229, 3489, 107, 34, 133, 13, 2694, 2021, 3058, 2058, 3142, 794, 1362, 2265, 1621, 144, 102, 3514, 3385, 1368, 2026, 3665, 556, 2357, 2213, 1559, 913, 3961, 2641, 529, 805, 2101, 39, 570, 903, 2058, 3078, 1797, 782, 1822, 229, 3489, 107, 34, 133, 2061, 2694, 2021, 2305, 2058, 3142, 986, 1362, 2073, 1621, 143, 102, 3514, 3337, 1368, 3451, 109, 120, 1398, 3655, 72, 3191, 1484, 3618, 3361, 1532, 1432, 2274, 1619, 237, 2322, 2197, 3470, 221, 933, 3337, 578, 1410, 3547, 1256, 1685, 3527, 488, 13, 3078, 2109, 3085, 261, 2204, 647, 574, 2915, 829, 2562, 3579, 3297, 2267, 3285, 2253, 3078, 3341, 4041, 2486, 1933, 3490, 1972, 526, 4100, 1554, 148, 1746, 146 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 53, 1512, 41, 903, 801, 54, 3641, 135, 849, 3335, 69, 390, 2249, 198, 1713, 3876, 3910, 1849, 3424, 1390, 2074, 578, 3169, 2174, 2069, 331, 2641, 2085, 3430, 1069, 105, 895, 701, 312, 683, 153, 664, 1704, 613, 1581, 1488, 830, 170, 323, 336, 101, 2106, 63, 13, 2478, 3599, 79, 1529, 2515, 2229, 1644, 3097, 3578, 2253, 1382, 2829, 2650, 4083, 3846, 3492, 3685, 365, 3446, 2053, 3593, 4042, 199, 149, 1681, 1014, 2333, 390, 613, 2606, 905, 2513, 361, 2199, 1607, 2591, 1589, 662, 1577, 2449, 2150, 1809, 3110, 50, 1805, 3873, 38, 3143, 146, 3337, 3589, 2069, 2294, 3109, 2069, 517, 1553, 518, 629, 1185, 310, 56, 31, 793, 2056, 3480, 141, 478, 3781, 1031, 1225, 15, 1630, 2821, 1861, 3366, 3662, 1107, 9, 1461, 174, 78, 2055, 3197, 3356, 3878, 328, 150, 613, 2705, 2016, 888, 992, 886, 489, 3294, 1626, 2414, 1918, 2876, 1618, 1852, 3014, 3125, 3230, 62, 1958, 825, 1874, 2876, 3580, 3528, 555, 172, 4090, 3105, 1910, 2876, 642, 2300, 3576, 3526, 555, 3240, 3579, 3297, 3958, 2873, 1643, 3580, 3371, 4008, 1019, 3297, 1846, 3082, 3527, 1710, 625, 2628, 3953, 3579, 1889, 3946, 3134, 1614, 2862, 3074, 2876, 3425, 2166, 2299, 2971, 1448, 1342, 2917, 2283, 1035, 673, 101, 2181, 1149, 547, 485, 662, 2629, 2173, 225, 1829, 460, 780, 3349, 142, 3190, 252, 2312, 1825, 2060, 3363, 1543, 1509, 77, 2201, 1549, 1816, 2085, 838, 916, 457, 321, 3, 2, 3982, 1499, 1532, 1230, 969, 1626, 1021, 287, 915, 1611, 1773, 1497, 450, 2811, 1439, 2432, 1236, 729, 3722, 3739, 1992, 1201, 488, 4058, 3018, 3804, 2460, 3754, 3319, 3270, 1920, 1565, 2634, 3407, 2065, 1717, 927, 1627, 1479, 1346, 1293, 1339, 2665, 4038, 2759, 287, 1553, 3420, 319, 13, 1246, 1373, 1230, 3782, 3529, 1197, 942, 1630, 2430, 1572, 2358, 943, 1799, 158, 607, 821, 3125, 629, 3818, 2106, 1496, 3768, 1860, 1527, 465, 2693, 813, 2458, 1608, 983, 1741, 1694, 3404, 2579, 1563, 506, 1784, 2052, 1137, 3565, 1990, 1761, 3711, 19, 1560, 1133, 1730, 3155, 1339, 1435, 392, 3225, 3582, 2433, 3466, 1604, 536, 1629, 1709, 2580, 1629, 1741, 810, 2462, 1791, 318, 2457, 2666, 3594, 1726, 2410, 2333, 2878, 975, 1532, 3798, 1836, 179, 2327, 1631, 415, 2461, 4009, 3383, 2102, 1599, 1567, 732, 96, 3807, 504, 3168, 1500, 1397, 2444, 3528, 2311, 1382, 29, 41, 234, 852, 1083, 1543, 53, 142, 1938, 502, 2876, 40, 4100, 4093, 886, 1366, 1372, 3317, 3765, 929, 90, 1846, 1916, 232, 13, 119, 822, 3962, 3132, 1933, 200, 252, 785, 3529, 1622, 2396, 3420, 353, 466, 3905, 3876, 1646, 490, 1372, 1537, 1092, 1889, 2566, 886, 1853, 1828, 3336, 3676, 1679, 3285, 1222, 3268, 3277, 900, 2603, 3175, 2110, 2016, 1362, 1946, 625, 2570, 3153, 3333, 2017, 1927, 1358, 2845, 374, 825, 3084, 2380, 1496, 282, 2422, 2193, 3431, 926, 518, 2678, 1307, 2502, 1669, 142, 8, 2123, 9, 1541, 1286, 471, 822, 806, 4042, 1695, 2108, 920, 1349, 3481, 856, 606, 1174, 1364, 2145, 2042, 2689, 3941, 2520, 1450, 2293, 1283, 108, 2198, 186, 1839, 1663, 1117, 2261, 360 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 155, 2670, 1237, 3285, 1519, 2124, 3641, 2666, 3202, 3092, 2705, 2606, 3866, 1258, 1700, 37, 2424, 1121, 3445, 232, 156, 3487, 122, 12, 1380, 1846, 2394, 3468, 19, 1378, 1627, 1401, 3162, 1806, 393, 1947, 2286, 107, 1448, 1420, 2299, 3235, 1626, 2460, 927, 2422, 1445, 357, 218, 3939, 2566, 3994, 283, 1179, 164, 1228, 529, 1391, 280, 108, 3108, 3933, 2694, 1010, 1401, 1986, 1609, 4013, 1042, 2443, 218, 929, 2571, 2654, 1847, 647, 154, 1912, 1107, 2422, 2526, 3425, 1179, 2204, 3726, 3948, 1020, 324, 3971, 170, 490, 175, 474, 1637, 1231, 1413, 3226, 1366, 3084, 1855, 1675, 602, 2199, 2420, 95, 294, 1013, 70, 3866, 38, 1384, 3223, 1404, 3514, 3940, 1955, 1123, 1447, 2602, 3895, 3339, 2199, 1192, 73, 906, 1673, 1860, 1018, 3124, 678, 3131, 1119, 2599, 389, 155, 1195, 198, 1994, 2532, 2155, 366, 1665, 1146, 2439, 1628, 3620, 445, 1395, 1093, 1452, 843, 2373, 2146, 4077, 2598, 675, 1509, 90, 2515, 870, 3138, 1973, 495, 1673, 3969, 1676, 3596, 1688, 1103, 1478, 1455, 2392, 807, 671, 1801, 3750, 2207, 2650, 1101, 848, 3686, 2694, 838, 3969, 1899, 1041, 606, 1370, 1100, 2157, 158, 4086, 2127, 583, 2057, 375, 1035, 1929, 2628, 2090, 1435, 1415, 1161, 1947, 1384, 2171, 2402, 3445, 3674, 3399, 251, 3381, 2120, 2523, 1428, 2130, 3467, 1140, 3249, 411, 94, 2158, 824, 507, 1927, 1674, 2439, 410, 2435, 118, 1446, 3461, 2460, 229, 1238, 2606, 1224, 1636, 2434, 1450, 2435, 566, 3566, 1251, 1932, 3490, 3383, 2407, 1409, 3719, 2057, 3678, 26, 2437, 4021, 167, 917, 1259, 2395, 1922, 1929, 1378, 1299, 1467, 2162, 1614, 1977, 3382, 3260, 218, 3723, 106, 1535, 1271, 927, 163, 1291, 3875, 3469, 2166, 2437, 2044, 3501, 3412, 1948, 182, 1027, 807, 2083, 1450, 1125, 501, 922, 3277, 411, 389, 3445, 2450, 1450, 3624, 2078, 888, 4064, 914, 2401, 11, 1366, 3118, 2681, 31, 1932, 3736, 3134, 2678, 426, 162, 2388, 4060, 2286, 1301, 548, 1342, 938, 2317, 1398, 2081, 509, 1013, 130, 2651, 1244, 2278, 1338, 1698, 101, 1933, 1430, 3500, 1304, 1688, 2037, 1854, 2153, 102, 1365, 2344, 1563, 2478, 1636, 3367, 893, 2168, 815, 471, 1896, 28, 3921, 1302, 2278, 2109, 341, 3098, 2650, 1069, 2154, 1542, 1398, 1291, 1686, 3578, 2071, 1238, 266, 2138, 2102, 3103, 1144, 1161, 152, 3525, 1450, 1046, 2281, 198, 677, 1519, 1686, 603, 1086, 2141, 526, 3933, 2426, 2151, 3387, 2150, 1045, 1844, 3144, 1894, 1527, 2869, 754, 669, 3242, 1525, 3326, 1090, 2094, 1528, 2401, 3436, 658, 2156, 153, 1118, 2475, 2178, 2877, 1637, 1234, 1498, 1384, 2841, 3997, 2019, 428, 300, 2410, 2516, 3109, 1546, 2661, 555, 1444, 1723, 2084, 1148, 4027, 201, 2458, 3375, 1538, 1429, 3544, 3375, 1435, 1675, 3458, 1091, 611, 1276, 415, 1430, 219, 1448, 1051, 3410, 2078, 422, 1435, 3181, 55, 1535, 374, 1908, 1370, 2131, 1402, 123, 3138, 2138, 2155, 2415, 1274, 1275, 3162, 1706, 2423, 3510, 83, 1559, 851, 1269, 2010, 1688, 3173, 2043, 1380, 2475, 422, 2472, 1111, 11, 852, 3451, 1121, 1719, 1351, 1000, 3483, 3271, 1676, 726, 1655, 1822, 3523, 1046, 2268, 3151, 3620, 2425 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1358, 15, 2078, 1667, 1169, 1284, 1144, 3654, 1859, 680, 397, 1277, 1358, 3089, 1060, 1687, 1805, 984, 3957, 3871, 971, 1637, 2398, 2006, 1098, 1388, 3190, 3966, 3611, 511, 1109, 2214, 1708, 2219, 2434, 1627, 2118, 2251, 1400, 3370, 3585, 3556, 120, 2933, 907, 2133, 3046, 1624, 2438, 2474, 1052, 2379, 8, 3930, 3354, 1430, 2075, 2410, 3102, 1572, 3092, 2066, 3034, 3140, 2036, 901, 1434, 346, 1441, 931, 3226, 1627, 2437, 852, 2403, 1739, 3288, 1019, 3297, 3489, 988, 392, 1350, 2011, 338, 1479, 1466, 1484, 2555, 2479, 1436, 155, 379, 2450, 3178, 1442, 2028, 3450, 3173, 1390, 1422, 760, 1911, 1980, 1929, 1450, 3850, 1478, 4010, 1688, 476, 1698, 306, 1857, 3914, 3079, 924, 1563, 2169, 1894, 1361, 1912, 427, 282, 3678, 1075, 377, 3853, 3463, 1358, 326, 2451, 2076, 1371, 2247, 1235, 1618, 860, 684, 3190, 1500, 230, 1754, 1915, 971, 1491, 1188, 1948, 1508, 1497, 885, 1700, 2020, 364, 2524, 3391, 1674, 44, 1506, 1015, 319, 1530, 3356, 133, 2026, 812, 361, 1508, 1993, 2204, 412, 1018, 919, 338, 3678, 3393, 3322, 2042, 4074, 3386, 3449, 2730, 3445, 2719, 1530, 2550, 3389, 2283, 1426, 1531, 367, 2715, 1510, 1525, 3563, 2443, 886, 3388, 1132, 2412, 2515, 2280, 2282, 3480, 2395, 360, 938, 3147, 2430, 2394, 427, 607, 1682, 1694, 2145, 3787, 315, 1418, 3389, 2699, 796, 1943, 347, 3237, 2477, 1691, 1943, 426, 3432, 3130, 1418, 3907, 891, 216, 2142, 3178, 2005, 927, 1657, 3298, 3672, 1057, 938, 2373, 700, 516, 3628, 850, 3390, 2373, 2411, 2579, 1421, 18, 1418, 3419, 2554, 3087, 1846, 2490, 2661, 1619, 3968, 954, 821, 3114, 4024, 19, 1386, 523, 3501, 1858, 3294, 4098, 827, 1439, 2276, 1919, 1502, 2693, 3272, 4038, 876, 921, 137, 1629, 3533, 2588, 412, 3348, 2600, 937, 1544, 2525, 804, 1668, 3946, 2584, 3383, 2101, 610, 1450, 3869, 1489, 1847, 2206, 1822, 2066, 1890, 1653, 2556, 3325, 2335, 2427, 1410, 3190, 1692, 4070, 2216, 2213, 1883, 1530, 3173, 2136, 3586, 2421, 2149, 2555, 1878, 3446, 2072, 2300, 3490, 1654, 2184, 2542, 1514, 2010, 2425, 615, 3305, 1378, 2075, 1899, 1804, 3385, 3964, 2247, 2404, 440, 1405, 1933, 202, 847, 1103, 517, 531, 817, 22, 3291, 3342, 1813, 469, 199, 1483, 1285, 3422, 3147, 1478, 3341, 485, 2337, 387, 195, 3717, 1481, 148, 1371, 1006, 3670, 3445, 1916, 360, 1414, 1710, 525, 2061, 1905, 1939, 1108, 4066, 2079, 877, 2518, 1944, 2077, 802, 3336, 37, 1298, 2111, 793, 1041, 2020, 3422, 839, 110, 989, 3867, 37, 3525, 3089, 3114, 211, 2638, 2845, 1538, 2873, 3117, 567, 133, 325, 1070, 35, 101, 2308, 293, 269, 3909, 1030, 1926, 2086, 4041, 2057, 105, 309, 3433, 972, 3165, 1481, 1021, 617, 4059, 389, 2025, 323, 3092, 1225, 2700, 713, 3165, 11, 4061, 423, 1650, 3217, 3247, 2119, 1615, 607, 1054, 2091, 1756, 453, 2177, 832, 4058, 197, 2078, 645, 3462, 1000, 531, 2079, 2434, 2875, 1157, 1644, 3099, 3394, 2253, 1674, 1808, 1626, 3891, 2000, 1612, 437, 1645, 2136, 2112, 267, 3608, 4077, 949, 1681, 1017, 1039, 1037, 2319, 661, 2319, 1233, 1325, 1054, 109, 1693, 799, 2315, 590, 2109, 539 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1545, 549, 680, 25, 2309, 1559, 2054, 3382, 2311, 233, 903, 1358, 1549, 389, 1925, 53, 310, 1080, 1049, 986, 2102, 1557, 549, 773, 629, 789, 905, 3182, 1527, 31, 2066, 3177, 1353, 2309, 1892, 31, 1226, 2200, 717, 823, 1492, 3034, 3313, 299, 3178, 4086, 3001, 212, 3563, 2066, 1522, 55, 317, 1097, 1173, 2057, 41, 2182, 1052, 9, 1101, 262, 1093, 1317, 151, 197, 518, 279, 58, 1349, 1103, 1190, 534, 282, 1798, 1477, 1109, 350, 280, 474, 1353, 1400, 25, 1369, 3418, 90, 1145, 1445, 280, 9, 2072, 17, 2380, 2314, 347, 90, 2266, 1426, 1494, 2331, 2053, 1158, 1925, 3225, 1909, 1432, 822, 2325, 1371, 22, 785, 1898, 1097, 1094, 1033, 1397, 341, 73, 1316, 1082, 1113, 282, 1290, 1370, 1350, 1402, 3418, 89, 1510, 282, 1290, 82, 281, 1116, 1337, 1145, 1926, 3426, 1110, 1861, 1308, 1752, 2451, 3913, 1519, 2124, 877, 322, 2124, 1464, 2588, 2000, 970, 1510, 2134, 1385, 453, 2866, 2906, 3894, 2309, 720, 1754, 2842, 145, 92, 1064, 58, 126, 3399, 3846, 1296, 739, 2565, 2029, 869, 453, 2402, 3193, 119, 352, 58, 2174, 1371, 3501, 92, 58, 3006, 1372, 538, 1453, 325, 1378, 1305, 1174, 1182, 327, 1400, 2566, 2065, 1150, 2918, 1481, 2378, 1178, 2314, 2165, 2501, 2394, 2905, 263, 1117, 1114, 1930, 1893, 40, 349, 796, 85, 1484, 373, 282, 1378, 2053, 2005, 822, 1687, 2578, 2596, 1768, 2403, 2326, 457, 3177, 284, 1389, 1888, 1258, 1961, 1099, 1046, 1883, 1154, 146, 1375, 1251, 82, 10, 1532, 3099, 3352, 2829, 18, 1047, 2028, 2776, 5, 483, 1223, 20, 3082, 3995, 783, 374, 1051, 157, 3753, 1085, 37, 2388, 607, 2118, 1182, 1509, 218, 1297, 3153, 1179, 2053, 1159, 1422, 77, 3333, 1122, 1438, 1429, 1804, 3144, 2214, 439, 1487, 2632, 1369, 2726, 3662, 2945, 3402, 1814, 348, 3525, 329, 1400, 1825, 1241, 1286, 267, 3349, 329, 482, 1882, 2310, 1369, 87, 2137, 5, 1418, 1382, 357, 330, 3719, 546, 2402, 299, 1417, 1386, 1402, 410, 379, 26, 1569, 2596, 1248, 1322, 1584, 1664, 1756, 1307, 1630, 1631, 1631, 2655, 2171, 1758, 1375, 1562, 1631, 1563, 1645, 1630, 1552, 1031, 370, 1110, 3562, 3080, 777, 89, 89, 2319, 1296, 38, 927, 275, 2325, 263, 176, 37, 1122, 1562, 170, 1479, 3, 2, 2580, 637, 2059, 2157, 3190, 3845, 2595, 1970, 1494, 1531, 3134, 1730, 1584, 2661, 3143, 2112, 924, 1086, 2655, 3890, 3610, 3982, 3635, 1379, 781, 3145, 1148, 874, 1575, 1233, 98, 3393, 3925, 1862, 1484, 1093, 2844, 289, 522, 2134, 361, 158, 58, 2326, 1430, 2538, 3078, 1159, 3125, 784, 2427, 494, 1462, 152, 2166, 2926, 1689, 2517, 2437, 2849, 456, 2451, 392, 2120, 841, 1417, 1223, 3273, 1758, 2446, 1229, 3449, 5, 3458, 558, 360, 2581, 1818, 2184, 197, 968, 821, 2359, 1419, 1542, 2440, 571, 1399, 682, 2437, 1403, 201, 822, 875, 1863, 2699, 1927, 1370, 1661, 37, 3397, 540, 1187, 1362, 3212, 822, 645, 1565, 1157, 1106, 1464, 1064, 781, 2129, 775, 3871, 2389, 1562, 2077, 2319, 1128, 245, 3165, 1125, 2726, 1757, 561, 1092, 177, 207, 1974, 264, 1084, 2054, 2085, 529, 649, 103, 906 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1931, 538, 2325, 1415, 165, 1382, 1165, 1381, 1233, 3469, 2365, 2127, 1061, 3174, 2105, 1118, 2538, 2314, 1068, 3182, 1126, 2105, 456, 2278, 1629, 2085, 3669, 471, 46, 101, 2086, 2150, 2150, 2117, 101, 154, 123, 358, 149, 173, 42, 1078, 2074, 202, 2357, 669, 624, 3161, 3169, 29, 529, 3306, 2398, 1345, 549, 1642, 3637, 3225, 145, 1443, 795, 1669, 1627, 1657, 1053, 3165, 2362, 181, 789, 3638, 1809, 3681, 2874, 3613, 513, 3602, 198, 2421, 3227, 1435, 1822, 1299, 2206, 1346, 2686, 3553, 3078, 1242, 1370, 2054, 1573, 356, 789, 3173, 1030, 3128, 1852, 786, 3548, 1869, 3167, 1089, 3139, 3091, 4042, 3972, 3896, 888, 3272, 786, 4033, 3896, 199, 3971, 3488, 3793, 3142, 2532, 2300, 3521, 3164, 1987, 4022, 2020, 2020, 2004, 1362, 3425, 821, 3092, 1489, 100, 3144, 723, 2179, 1293, 1296, 917, 3404, 1871, 2973, 1922, 343, 2084, 1390, 1377, 566, 1378, 2426, 1349, 2181, 720, 1786, 1909, 2118, 6, 3334, 3447, 1310, 1513, 100, 1723, 917, 3874, 665, 1363, 10, 181, 85, 2842, 97, 29, 581, 3413, 85, 870, 2638, 2054, 2019, 1402, 1581, 2396, 263, 2017, 2010, 1313, 2138, 1448, 1045, 260, 1241, 1926, 1337, 3130, 68, 1385, 133, 2373, 165, 346, 2390, 1946, 3697, 3299, 2533, 2533, 2268, 794, 1856, 1893, 3867, 1820, 272, 283, 219, 902, 2442, 3641, 3078, 3851, 3101, 1693, 2405, 3952, 2410, 1414, 986, 2362, 2843, 455, 1883, 1938, 2074, 2830, 1909, 415, 270, 1918, 1478, 3354, 3653, 3657, 412, 1522, 1413, 166, 2652, 3077, 1528, 1626, 3939, 1308, 26, 3427, 917, 1380, 3178, 2417, 1515, 3257, 791, 1064, 292, 3151, 93, 2461, 2005, 1386, 3438, 1477, 1305, 1413, 3235, 346, 3354, 4074, 2362, 2105, 3130, 1188, 1052, 1292, 1234, 3702, 374, 3269, 907, 2952, 3269, 2677, 3292, 3420, 3673, 3704, 3592, 3342, 1561, 3467, 1926, 12, 3454, 1356, 3430, 3422, 1378, 1054, 1894, 2196, 2508, 2332, 1893, 151, 25, 3526, 3528, 468, 135, 2872, 1633, 1510, 3017, 2262, 3386, 1410, 1342, 87, 1237, 875, 2153, 2333, 2578, 1674, 1314, 1636, 3107, 395, 411, 1409, 73, 2206, 1211, 3337, 3692, 354, 2685, 2613, 3454, 1316, 3417, 1642, 1282, 2665, 1130, 620, 233, 3354, 3466, 2392, 3484, 407, 1634, 1307, 1909, 341, 3482, 491, 1961, 2166, 1481, 1766, 3420, 1259, 2985, 2073, 1562, 2538, 2605, 3546, 1305, 641, 4047, 1883, 486, 286, 1354, 237, 252, 1366, 317, 1406, 2406, 2270, 2145, 1039, 3977, 346, 1704, 3701, 3595, 488, 3019, 2678, 3957, 137, 3320, 3144, 1743, 1322, 334, 1911, 2105, 2515, 1098, 1038, 1442, 3427, 1544, 2391, 1142, 331, 152, 2366, 3340, 3215, 2170, 985, 3928, 1817, 129, 3477, 830, 202, 3413, 539, 988, 1401, 342, 978, 1833, 453, 3204, 3611, 1089, 2245, 1990, 1532, 265, 3154, 2337, 3278, 2042, 1058, 1397, 1494, 3138, 3938, 2337, 803, 1880, 821, 683, 3298, 2833, 904, 3897, 2120, 981, 3687, 458, 1882, 3671, 1095, 1556, 2376, 3397, 3113, 93, 39, 1001, 1445, 4093, 1171, 146, 3291, 1923, 1911, 30, 2055, 978, 2245, 980, 2929, 1234, 3906, 142, 267, 1522, 1418, 58, 970, 3405, 356, 3081, 1107, 403, 1825, 1861, 1449, 566, 2330, 2081, 79 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3857, 3222, 2869, 642, 3300, 1882, 3365, 3413, 3209, 1115, 649, 1545, 1480, 1300, 2530, 1825, 3638, 1857, 998, 3966, 1090, 4004, 1934, 2630, 2877, 1726, 106, 3724, 2901, 3858, 3940, 366, 1194, 3494, 1349, 289, 650, 289, 343, 246, 1298, 2326, 873, 1706, 2410, 2129, 1165, 1889, 1559, 3931, 3438, 2426, 2393, 304, 1380, 908, 3874, 1038, 988, 1122, 1867, 988, 3877, 2249, 3553, 2043, 1965, 198, 1836, 775, 1813, 968, 1124, 2109, 2132, 1162, 2931, 2465, 476, 3542, 1570, 1912, 3158, 789, 3424, 3290, 92, 3846, 3306, 122, 571, 41, 3414, 1594, 3417, 2350, 2426, 1655, 1295, 1361, 2549, 1529, 374, 956, 281, 3284, 2383, 389, 655, 2063, 3129, 165, 707, 1807, 1082, 1081, 72, 3426, 3457, 2384, 3486, 2010, 3932, 3391, 2631, 2076, 3408, 1050, 351, 3925, 549, 3420, 1525, 193, 162, 3236, 1577, 3470, 392, 2286, 8, 1137, 2459, 1355, 5, 3415, 519, 603, 1645, 2503, 1562, 1643, 1435, 1419, 395, 390, 3873, 3141, 645, 3089, 821, 1445, 720, 1749, 2917, 678, 1520, 1799, 2001, 2610, 2585, 1631, 140, 2055, 2111, 2063, 2240, 1181, 1587, 3727, 694, 2673, 2438, 2405, 871, 1573, 3725, 2345, 2828, 2293, 3101, 2995, 1814, 3015, 2227, 1329, 3052, 3057, 3426, 1259, 2228, 1809, 795, 1349, 2547, 2956, 2028, 1584, 1066, 2608, 1809, 3398, 2753, 3124, 3058, 1185, 3266, 1633, 862, 2102, 1419, 3549, 3424, 1782, 2396, 2447, 1332, 3044, 8, 2836, 53, 3125, 3137, 3137, 3289, 2004, 3871, 3142, 1041, 1738, 3060, 1985, 3905, 3908, 3154, 3128, 3445, 181, 3431, 4033, 3591, 3893, 120, 3865, 1985, 3134, 1788, 3138, 3279, 1848, 3649, 3906, 1809, 3420, 1873, 3172, 885, 1781, 3098, 1270, 1526, 3093, 1573, 3861, 86, 97, 1804, 330, 1189, 597, 1506, 1178, 1626, 2142, 604, 1365, 1404, 1398, 1340, 1058, 262, 136, 2442, 387, 1031, 2076, 2001, 970, 1959, 170, 2886, 2072, 1365, 1928, 213, 3337, 1394, 1526, 1441, 1662, 3563, 334, 1864, 1535, 2095, 12, 1804, 3464, 140, 140, 532, 1433, 39, 74, 529, 199, 647, 1141, 913, 2725, 2343, 3422, 1103, 5, 2510, 2030, 1562, 2637, 1035, 1322, 3434, 1083, 2535, 1852, 312, 2657, 3330, 1326, 821, 3735, 76, 3098, 3883, 2110, 1917, 92, 190, 1946, 38, 22, 3420, 1605, 1818, 416, 346, 1934, 332, 2821, 816, 1338, 3803, 2394, 1370, 1374, 794, 986, 265, 3382, 1881, 350, 1067, 599, 1114, 156, 2172, 1354, 2093, 1634, 1378, 1765, 2233, 3416, 1384, 1310, 1081, 2525, 1417, 1362, 2424, 75, 133, 149, 714, 2387, 1338, 2123, 1558, 2404, 1916, 539, 1289, 1350, 2161, 2658, 1111, 3239, 2414, 1578, 1182, 1462, 1081, 261, 372, 549, 2153, 1252, 605, 1681, 1339, 1480, 343, 767, 3625, 3373, 3301, 97, 1805, 1139, 1159, 3014, 852, 2095, 1365, 3673, 2794, 2153, 395, 1447, 2338, 802, 2663, 376, 461, 220, 1153, 3145, 1182, 1104, 973, 1694, 520, 1494, 3125, 1167, 37, 1733, 3426, 1080, 1355, 1201, 1442, 2394, 2398, 1581, 618, 3170, 481, 473, 117, 1304, 582, 1114, 1307, 1114, 1607, 1157, 81, 102, 189, 17, 18, 1433, 2588, 3738, 3717, 972, 2826, 1318, 471, 200, 1565, 782, 3658, 2581, 1313, 1290, 986, 2129, 274, 5, 1097, 1656 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1561, 1805, 2382, 1821, 212, 522, 1225, 447, 3081, 5, 3089, 197, 3081, 366, 1297, 1568, 2078, 2180, 483, 2778, 951, 1055, 1436, 1498, 1136, 2113, 792, 1812, 2119, 506, 411, 1010, 2035, 2145, 3051, 2150, 2090, 2459, 1431, 3534, 133, 2460, 1957, 486, 1435, 1801, 1702, 2142, 1636, 657, 3498, 3162, 1499, 1797, 2582, 5, 1121, 282, 3597, 2084, 1577, 1223, 25, 149, 186, 2394, 1305, 645, 538, 1726, 3311, 3391, 1685, 816, 777, 1198, 1124, 3798, 1419, 2655, 232, 3169, 387, 117, 987, 155, 2403, 975, 3293, 716, 281, 1742, 81, 1810, 1484, 1061, 3172, 1080, 3095, 2422, 2136, 828, 3573, 3162, 1848, 376, 659, 1061, 3612, 4065, 1060, 1845, 3311, 785, 785, 1561, 2900, 2715, 2397, 1387, 135, 89, 347, 1441, 2567, 2161, 1628, 1382, 2645, 1045, 653, 23, 6, 3929, 785, 805, 2410, 2573, 69, 2913, 3715, 2170, 1929, 539, 1549, 2398, 1756, 1355, 1306, 1122, 1018, 1289, 400, 2165, 3464, 2139, 133, 1497, 3157, 1294, 1145, 1508, 1345, 2020, 1498, 2006, 2202, 3039, 3945, 431, 1670, 1370, 1882, 3978, 3968, 588, 337, 2060, 3383, 2122, 2906, 1978, 2246, 3593, 1098, 73, 472, 1404, 2338, 2358, 3343, 9, 21, 69, 69, 1850, 1486, 3354, 1366, 1034, 3619, 2058, 3414, 341, 1181, 1050, 1147, 139, 3078, 344, 1411, 3142, 402, 1354, 1372, 3333, 18, 3402, 1947, 812, 2134, 1302, 1505, 332, 1802, 1360, 1525, 76, 3096, 2138, 845, 3114, 277, 28, 2761, 32, 1798, 1978, 1406, 522, 1042, 1686, 3434, 3153, 194, 1829, 1817, 1755, 47, 1890, 121, 3861, 1623, 184, 558, 3119, 3333, 3178, 3546, 1670, 1962, 49, 1399, 3386, 1750, 3413, 1421, 478, 1399, 693, 140, 634, 2914, 1051, 90, 289, 1678, 926, 1228, 2081, 1038, 2422, 2138, 1371, 2401, 2009, 356, 1865, 1208, 193, 1956, 264, 2060, 328, 823, 3973, 3462, 4062, 3929, 2178, 1702, 1133, 222, 1465, 3515, 652, 1284, 3726, 1146, 1430, 1230, 33, 2929, 3654, 3162, 393, 343, 3161, 537, 94, 3898, 2404, 3399, 26, 1226, 170, 2836, 42, 3326, 3941, 1370, 1877, 174, 2536, 3988, 2631, 254, 3996, 3747, 1485, 3753, 3409, 1831, 1165, 2394, 1253, 3850, 3637, 2568, 792, 3131, 3527, 794, 2250, 1039, 17, 2613, 1208, 59, 1484, 3646, 376, 1349, 1841, 130, 1415, 1437, 905, 1054, 47, 3647, 348, 2066, 6, 2574, 139, 3081, 24, 1448, 2903, 551, 238, 1162, 1674, 3903, 734, 2013, 2685, 557, 2606, 2910, 3714, 3647, 1789, 3680, 3741, 2717, 2623, 1774, 1646, 1694, 1694, 3982, 1437, 124, 1739, 603, 1866, 3679, 2015, 968, 1991, 3933, 1742, 2641, 320, 636, 2257, 3115, 1426, 3423, 2659, 123, 1705, 575, 9, 3614, 1483, 798, 1641, 3125, 1709, 235, 1543, 2546, 1681, 1275, 1406, 3684, 3124, 3181, 317, 62, 2007, 1736, 1242, 2796, 3880, 1496, 1044, 2046, 2615, 1567, 109, 2639, 901, 2573, 2584, 3954, 1446, 3186, 2041, 2255, 1885, 1044, 2061, 1165, 1033, 1390, 1389, 3173, 3081, 1061, 5, 2716, 3336, 529, 76, 521, 469, 2376, 1527, 2525, 837, 414, 2637, 56, 1039, 149, 1042, 1485, 468, 23, 207, 2414, 1353, 141, 1094, 292, 3307, 1453, 510, 1477, 3, 2, 3415, 1530, 1592, 197, 2102, 75, 1352 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 182, 108, 3109, 1701, 806, 2182, 2058, 2658, 2139, 1532, 137, 435, 2054, 2459, 2143, 1420, 1148, 55, 1172, 3162, 3797, 3089, 3722, 889, 672, 785, 2844, 753, 3098, 4003, 2426, 3291, 796, 2694, 1809, 2822, 2880, 450, 3256, 386, 1803, 2010, 2266, 2563, 1507, 3140, 3169, 824, 3486, 1704, 2042, 1639, 4035, 3971, 3875, 3905, 3196, 614, 2869, 984, 810, 1848, 899, 1644, 3932, 764, 3275, 3318, 896, 3832, 806, 2947, 2881, 3142, 2512, 3272, 3169, 100, 417, 1784, 37, 681, 1909, 454, 3016, 2182, 1650, 2897, 3957, 3197, 1292, 3292, 3994, 300, 3994, 1589, 2349, 3135, 2063, 15, 9, 3158, 1148, 2534, 1929, 21, 1999, 129, 5, 266, 3166, 2138, 1081, 346, 925, 3486, 1798, 3462, 285, 1117, 1837, 278, 202, 2013, 2405, 93, 121, 2165, 2142, 529, 1049, 389, 1113, 2677, 1062, 1820, 3142, 327, 1497, 1065, 1514, 1116, 5, 8, 129, 1701, 377, 629, 1043, 422, 133, 3089, 3131, 22, 2397, 1178, 353, 1374, 57, 1269, 282, 1701, 3149, 76, 1803, 130, 2310, 58, 117, 1102, 1039, 3867, 2397, 2325, 3089, 3080, 5, 3866, 1129, 1385, 3445, 2677, 854, 2327, 1799, 198, 805, 234, 2214, 2172, 42, 278, 2216, 814, 3527, 1224, 253, 512, 3456, 1747, 2014, 3074, 16, 2537, 1086, 1642, 1757, 502, 2767, 2914, 1230, 1309, 2056, 1909, 540, 1898, 2281, 457, 600, 2669, 1335, 1062, 1490, 1437, 1514, 3361, 1436, 236, 3196, 109, 256, 793, 2457, 2085, 2666, 2141, 1258, 3106, 2090, 2551, 1386, 2348, 1308, 1884, 364, 275, 1622, 2523, 2347, 1382, 2413, 1310, 1834, 1642, 3134, 2401, 1864, 28, 2923, 2105, 3272, 2658, 2586, 1221, 1884, 3109, 2507, 3336, 2897, 410, 3925, 3678, 3003, 1663, 1640, 2413, 2178, 1548, 3690, 2459, 2908, 2302, 1439, 2462, 1440, 3486, 1638, 2085, 2245, 2331, 2539, 2537, 531, 1580, 3482, 1644, 1160, 364, 346, 2430, 3298, 1496, 502, 1736, 232, 2092, 459, 2789, 613, 1664, 1634, 98, 1110, 2341, 2582, 1574, 1641, 3626, 1574, 2159, 1656, 3554, 165, 476, 3242, 1122, 1110, 938, 2695, 1400, 3297, 414, 2157, 859, 1437, 2417, 3678, 1270, 754, 3307, 2205, 110, 3761, 62, 1909, 1707, 2269, 1880, 1884, 221, 2585, 2554, 3797, 2463, 1569, 520, 2421, 2254, 1069, 933, 1882, 2301, 207, 40, 165, 3685, 3111, 2278, 2264, 3117, 1073, 1755, 1819, 2792, 352, 2581, 207, 1799, 82, 2254, 2258, 1068, 2152, 831, 550, 3423, 2504, 71, 671, 2295, 2986, 2226, 3169, 785, 77, 1992, 2321, 773, 1640, 1256, 1066, 1641, 925, 230, 98, 2406, 2251, 2213, 527, 1141, 3678, 3597, 2462, 1693, 1130, 3724, 1642, 2668, 2733, 1890, 1030, 1096, 661, 2090, 1482, 2666, 2662, 1278, 2487, 143, 2155, 2695, 2321, 2426, 3508, 408, 548, 1402, 3729, 24, 2898, 1683, 1798, 1648, 860, 3718, 2097, 3224, 830, 1622, 1592, 1126, 2267, 2581, 2101, 822, 1654, 1734, 1234, 1515, 3125, 104, 233, 127, 2309, 2279, 1069, 2762, 1130, 2150, 2695, 2310, 2205, 1117, 1627, 1355, 1704, 333, 2566, 2639, 47, 15, 597, 760, 197, 645, 2651, 1431, 526, 2081, 1486, 2097, 1948, 45, 1093, 2488, 1643, 2282, 2102, 1682, 104, 361, 968, 20, 1784, 2401, 522, 1809, 303, 660, 5, 1925 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2706, 3189, 1587, 1553, 3134, 1983, 3957, 3081, 1651, 2833, 202, 2565, 922, 3162, 1169, 3082, 3109, 1478, 3282, 1927, 1221, 876, 250, 3125, 3125, 3126, 570, 824, 3896, 824, 788, 805, 3228, 2564, 1052, 218, 3361, 235, 1369, 15, 2093, 2009, 2380, 2234, 87, 1410, 1117, 597, 2596, 1289, 334, 2506, 327, 1658, 1697, 1365, 3431, 1322, 1820, 1387, 1717, 1041, 1221, 405, 107, 1373, 105, 1379, 36, 331, 1583, 2310, 2558, 874, 1802, 1899, 2059, 2841, 352, 1032, 1047, 298, 3202, 3162, 885, 528, 282, 3626, 3909, 1368, 773, 1250, 1404, 1165, 2940, 1145, 2640, 1848, 357, 329, 3340, 1177, 786, 310, 2188, 3509, 282, 1030, 1305, 1870, 24, 1173, 326, 1116, 1369, 1370, 1641, 2569, 9, 615, 486, 53, 520, 22, 1900, 98, 2556, 4058, 2009, 1384, 544, 1305, 740, 3494, 1290, 82, 315, 1849, 1110, 1622, 2072, 1097, 1106, 2645, 2417, 1093, 36, 1210, 2398, 1306, 794, 1316, 53, 86, 1504, 2132, 355, 3526, 2444, 2695, 839, 3429, 2053, 4062, 2910, 3537, 3303, 2172, 503, 1365, 2638, 1385, 1565, 1914, 1874, 1385, 378, 1439, 2585, 325, 154, 1366, 87, 458, 283, 271, 1114, 57, 1312, 2168, 275, 2447, 474, 1868, 4041, 1374, 1094, 89, 33, 2150, 1030, 1510, 262, 53, 822, 1737, 169, 357, 600, 3864, 313, 2081, 43, 3366, 1798, 3351, 3446, 297, 234, 1861, 16, 1825, 1058, 521, 1505, 2935, 485, 92, 670, 1882, 3382, 1270, 3143, 3788, 386, 3482, 1849, 372, 883, 647, 1301, 362, 1130, 2376, 1429, 1223, 5, 614, 413, 1114, 88, 1173, 41, 1070, 78, 3122, 3420, 2900, 2426, 1047, 1114, 1372, 1609, 266, 78, 2400, 1333, 3270, 793, 3149, 1514, 2053, 53, 17, 917, 1048, 1317, 133, 387, 1355, 332, 91, 598, 1310, 1365, 3148, 1233, 661, 1349, 1397, 1401, 3169, 352, 3338, 1302, 9, 37, 82, 1351, 10, 2064, 890, 278, 537, 3537, 1315, 184, 69, 13, 272, 3144, 852, 3685, 1056, 131, 824, 2828, 324, 12, 2050, 2108, 3277, 2492, 592, 3579, 1354, 3639, 71, 1439, 1899, 291, 2396, 16, 1034, 3589, 458, 1906, 3421, 2410, 1503, 1765, 1395, 363, 1387, 1118, 181, 51, 3477, 2586, 2897, 1797, 3449, 3126, 1491, 921, 1546, 1766, 1626, 1637, 1301, 754, 2335, 342, 220, 786, 3336, 3145, 1066, 3105, 1309, 517, 1876, 3078, 237, 9, 16, 853, 2055, 2859, 1122, 3099, 265, 1273, 2309, 1353, 1494, 2198, 1433, 1285, 60, 1328, 1418, 1097, 2665, 1114, 2485, 150, 601, 14, 536, 7, 486, 11, 1285, 2106, 1882, 1605, 534, 1494, 65, 700, 3897, 1097, 1877, 1145, 2326, 348, 1563, 185, 1882, 2417, 233, 2569, 1913, 41, 476, 2066, 3962, 612, 3078, 1786, 967, 68, 3653, 1083, 3676, 1360, 2091, 411, 1118, 1625, 1099, 754, 1376, 2046, 1548, 4007, 468, 1741, 1369, 666, 283, 18, 765, 9, 2150, 3821, 2947, 1386, 1881, 1557, 1639, 734, 2236, 1829, 489, 745, 597, 2364, 3932, 3411, 2054, 645, 1815, 72, 13, 929, 3406, 2021, 2054, 1338, 2882, 3269, 1420, 1926, 1801, 1337, 1835, 3492, 2389, 2149, 101, 3621, 145, 9, 2918, 2067, 71, 1116, 582, 1077, 614, 1386, 3427, 47, 1370, 278, 1496, 1378, 805, 711, 3532 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2908, 3240, 2919, 818, 1844, 2404, 3216, 1397, 3089, 306, 2854, 1433, 1384, 611, 1642, 1364, 1422, 561, 347, 727, 526, 1573, 2234, 1338, 721, 1442, 1370, 3441, 1050, 345, 3341, 2885, 1228, 342, 506, 3913, 329, 125, 2765, 3228, 41, 3082, 2352, 565, 362, 3700, 45, 1230, 663, 2634, 123, 126, 353, 1285, 517, 3609, 374, 2385, 3404, 3929, 1114, 321, 210, 19, 1561, 1113, 2046, 1105, 56, 2072, 2698, 1072, 599, 1611, 4054, 165, 47, 3143, 2814, 2909, 1796, 90, 2778, 1605, 837, 1642, 1798, 5, 3678, 2778, 2718, 1397, 11, 775, 2629, 447, 619, 1758, 2459, 3835, 2142, 3677, 1643, 2816, 46, 1056, 147, 1782, 1739, 2331, 1658, 3419, 1077, 804, 897, 452, 811, 1250, 1690, 2950, 3419, 1293, 2974, 2481, 1204, 939, 3509, 3052, 824, 2206, 3020, 2540, 404, 2318, 767, 1264, 1439, 3428, 2028, 936, 2080, 455, 819, 3472, 2796, 2525, 601, 783, 415, 3443, 3203, 428, 2556, 364, 3358, 2225, 1752, 364, 788, 913, 1553, 2205, 1758, 2457, 1950, 2538, 2475, 3359, 831, 865, 3528, 2709, 2781, 1529, 912, 351, 2568, 2435, 2538, 1947, 2515, 1312, 2575, 1413, 748, 2464, 2560, 332, 1904, 1548, 3355, 1537, 2793, 3441, 1373, 18, 1338, 466, 309, 2764, 2466, 1500, 353, 842, 3748, 266, 1516, 2474, 1836, 22, 1697, 50, 2418, 1820, 364, 2545, 3692, 3578, 2219, 2847, 1811, 2462, 1746, 2693, 4002, 3705, 2070, 1358, 2401, 603, 974, 1204, 858, 1748, 393, 1812, 897, 2040, 857, 786, 406, 2405, 331, 2798, 1989, 3624, 980, 3925, 2204, 1484, 411, 3820, 2330, 3793, 285, 394, 284, 773, 712, 210, 1416, 3674, 1804, 860, 2152, 1502, 3878, 1951, 4044, 1893, 875, 2365, 3275, 152, 2345, 2277, 1554, 1633, 2668, 1853, 2108, 1423, 490, 1884, 3076, 524, 1309, 965, 1407, 57, 1505, 1449, 474, 2401, 4068, 204, 197, 1376, 801, 585, 1490, 1311, 3384, 292, 245, 3532, 1997, 2357, 3893, 1258, 3539, 1181, 255, 1517, 2062, 517, 2184, 1832, 216, 1387, 1489, 1169, 3998, 1850, 2138, 2277, 690, 3045, 641, 201, 970, 3557, 1358, 2012, 1643, 1129, 2321, 1000, 4092, 2156, 1897, 2251, 1564, 475, 14, 1628, 2061, 1307, 1716, 931, 63, 3788, 1549, 3675, 2083, 1044, 2306, 2657, 862, 1065, 1883, 3387, 279, 2067, 2652, 2083, 866, 1704, 868, 1722, 1689, 232, 881, 740, 1678, 2380, 2537, 3709, 1233, 926, 1944, 1812, 968, 3813, 4089, 322, 492, 2556, 341, 3502, 1379, 1938, 1825, 2063, 1884, 499, 1798, 1704, 104, 977, 390, 417, 1810, 3349, 1988, 1692, 3548, 2505, 1596, 2516, 1516, 3242, 3616, 4086, 1838, 2331, 1596, 218, 3589, 425, 11, 2326, 1295, 587, 1628, 876, 2028, 1180, 1463, 4070, 3527, 3529, 1387, 1302, 2534, 1477, 2875, 1375, 2111, 1681, 1818, 2033, 457, 1576, 862, 1962, 514, 1426, 1956, 2451, 1500, 853, 311, 2091, 1639, 2062, 547, 798, 1635, 1951, 1651, 2514, 2177, 821, 3581, 475, 2283, 1507, 3747, 1416, 2395, 1937, 231, 2444, 985, 2440, 779, 3937, 3464, 1444, 3862, 1477, 932, 1510, 2473, 3636, 467, 254, 1353, 1689, 561, 1308, 779, 1998, 572, 1820, 2218, 545, 252, 1153, 3563, 1117, 2240, 1413, 517, 808, 1554, 1681, 883, 1237, 1117, 1907 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1374, 2017, 908, 3220, 2379, 1252, 809, 1801, 2523, 933, 541, 1580, 2336, 2003, 350, 3867, 2831, 1799, 1821, 2049, 3364, 989, 853, 3048, 1516, 2089, 3229, 1148, 811, 3051, 1700, 422, 2284, 2311, 1668, 3857, 1948, 317, 1249, 2972, 1389, 4012, 904, 68, 1180, 455, 2501, 1960, 30, 2257, 476, 3149, 2284, 2140, 1799, 1677, 492, 3845, 200, 971, 2465, 205, 1556, 677, 146, 1636, 1770, 2522, 2883, 1386, 2538, 2476, 3394, 679, 789, 1532, 779, 1479, 229, 645, 2282, 1823, 926, 3596, 2381, 636, 3100, 2421, 3909, 3546, 3356, 609, 780, 3421, 3168, 1117, 3851, 106, 3202, 3158, 44, 1372, 3649, 3077, 1025, 200, 257, 141, 541, 2550, 1930, 3806, 3784, 136, 2013, 870, 35, 282, 1503, 1030, 3064, 1382, 908, 3, 2, 289, 3622, 915, 1041, 392, 2403, 1477, 1477, 3674, 763, 52, 215, 2392, 1049, 2075, 639, 351, 2090, 2093, 518, 1817, 2504, 866, 333, 536, 6, 2793, 2055, 389, 867, 1448, 393, 1058, 3341, 1141, 2054, 124, 1078, 2121, 510, 1659, 14, 90, 3906, 3350, 1402, 1156, 1409, 3920, 3848, 602, 2404, 14, 1504, 1635, 417, 1605, 3877, 354, 326, 3391, 1618, 3852, 3643, 1321, 1333, 3893, 1798, 3686, 1586, 1373, 3373, 294, 2342, 14, 1549, 1885, 335, 2169, 118, 2366, 3868, 2330, 3134, 220, 330, 2039, 253, 2572, 1510, 39, 1883, 3454, 1462, 786, 465, 3145, 3761, 3646, 122, 582, 3190, 93, 1410, 4037, 585, 3419, 3906, 3162, 2853, 3562, 2681, 382, 66, 913, 2853, 378, 2094, 1625, 354, 1564, 1316, 2907, 1933, 3434, 2908, 517, 140, 3945, 586, 3421, 3182, 3704, 261, 1675, 53, 1374, 3300, 364, 25, 3894, 3848, 2397, 3117, 118, 3957, 3708, 326, 621, 887, 490, 2380, 3142, 2375, 2633, 3357, 331, 79, 342, 2590, 1482, 2054, 3381, 3198, 1627, 1348, 547, 74, 287, 1189, 1810, 1649, 2998, 1061, 2326, 2165, 1626, 660, 787, 65, 3354, 1244, 1829, 105, 1082, 1050, 1367, 1128, 308, 1058, 2438, 1850, 2657, 3438, 1259, 101, 475, 970, 3701, 2594, 2613, 3445, 3092, 864, 3340, 2393, 773, 2423, 2053, 250, 1913, 3537, 2102, 1889, 1061, 3940, 3271, 797, 1479, 2104, 1310, 2773, 2768, 528, 540, 460, 776, 1353, 1705, 3172, 2969, 2218, 2252, 1285, 1962, 1462, 1414, 3894, 859, 2568, 2241, 3148, 3847, 1131, 1918, 1525, 1829, 1297, 831, 251, 826, 1131, 476, 3098, 355, 2102, 2594, 1297, 507, 922, 472, 482, 2165, 3182, 866, 1825, 1860, 3080, 791, 7, 149, 1890, 1365, 822, 1381, 3078, 2257, 460, 614, 620, 3365, 2650, 1641, 5, 1098, 2074, 1830, 1113, 1866, 645, 1883, 1861, 1095, 342, 2314, 2698, 1489, 26, 1786, 1553, 409, 3521, 777, 1416, 648, 1914, 1124, 1493, 2458, 1370, 3418, 1286, 3398, 526, 472, 1113, 1631, 603, 518, 592, 422, 3382, 1516, 345, 1402, 226, 1429, 351, 1039, 271, 2694, 2074, 3050, 1402, 1330, 361, 2580, 170, 262, 2165, 712, 3478, 277, 1039, 13, 71, 8, 991, 28, 90, 3070, 1557, 1369, 4014, 1381, 1062, 2396, 849, 330, 261, 46, 269, 74, 1866, 2565, 1534, 3214, 142, 528, 2390, 1286, 1921, 537, 1052, 326, 1449, 1351, 1678, 1098, 2154, 2411, 1944, 406, 2334, 358, 2410, 2911 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1372, 1500, 2584, 1564, 586, 59, 1133, 3925, 154, 154, 1917, 5, 2673, 614, 2586, 1509, 1367, 1645, 2669, 534, 3382, 1051, 1141, 405, 307, 377, 1690, 1379, 1626, 1879, 2133, 1378, 9, 1485, 1094, 473, 113, 942, 2230, 3096, 1415, 1615, 1349, 329, 793, 1058, 289, 1561, 36, 466, 1748, 1302, 1512, 47, 2378, 1113, 1402, 2142, 1374, 2453, 2186, 94, 91, 1414, 2362, 3985, 1948, 1802, 295, 458, 2323, 1380, 897, 1845, 1807, 77, 564, 70, 2590, 3225, 2177, 1375, 1049, 354, 1528, 2248, 2197, 188, 3301, 3797, 197, 1475, 1912, 758, 1070, 1373, 2654, 386, 3079, 1123, 200, 2410, 2317, 2390, 28, 917, 1301, 410, 26, 280, 1356, 1536, 357, 1285, 3558, 1298, 342, 26, 1094, 1398, 1029, 2060, 3371, 3562, 3356, 3529, 281, 3414, 1302, 1394, 3341, 1095, 282, 1609, 614, 461, 1305, 1430, 1114, 596, 1562, 5, 117, 114, 3401, 22, 189, 1093, 1098, 330, 1305, 1141, 1314, 1866, 1991, 329, 821, 3077, 70, 1578, 2426, 2378, 2139, 121, 2085, 2330, 580, 273, 3228, 3291, 225, 2374, 3493, 3481, 777, 1078, 3144, 389, 1237, 1183, 2716, 587, 2135, 1377, 1849, 727, 1835, 3461, 665, 1556, 6, 2588, 3861, 45, 1813, 4037, 210, 572, 545, 623, 2673, 55, 1421, 875, 310, 3261, 1509, 1178, 3110, 3673, 1036, 1224, 1525, 3822, 1493, 310, 2524, 2146, 2204, 3253, 1866, 3122, 2090, 1366, 1630, 2874, 2424, 1876, 785, 380, 3317, 3198, 1500, 1139, 1633, 1107, 2411, 1818, 3301, 2185, 230, 1130, 2121, 412, 1534, 2458, 1828, 2347, 2204, 2410, 3094, 3928, 1572, 405, 645, 2186, 2455, 474, 2165, 3301, 1050, 2546, 3932, 455, 2033, 2360, 1614, 1400, 191, 721, 1512, 1387, 2340, 1029, 2124, 2010, 3529, 3278, 1144, 4075, 1097, 1605, 1661, 45, 593, 2567, 1796, 1385, 21, 1094, 1349, 1545, 298, 1809, 1076, 204, 1050, 413, 1429, 1962, 2937, 4086, 3100, 1194, 3603, 33, 3389, 61, 286, 4074, 3381, 1405, 791, 274, 2608, 317, 2377, 1090, 608, 3877, 518, 1371, 3403, 2701, 990, 36, 394, 1415, 341, 798, 375, 2140, 846, 1044, 355, 1355, 2122, 243, 1349, 426, 1401, 1052, 3169, 1869, 121, 2654, 1861, 1949, 356, 48, 805, 90, 3498, 1553, 1850, 2730, 3081, 1055, 21, 2087, 2005, 1435, 1046, 284, 1643, 3991, 1149, 201, 1414, 3723, 1354, 2118, 2454, 457, 1418, 601, 3147, 1397, 598, 2106, 1356, 810, 977, 277, 1931, 343, 1349, 466, 1386, 1254, 1861, 387, 1471, 15, 70, 106, 1932, 649, 1106, 615, 3678, 389, 410, 1115, 4049, 3893, 3378, 1355, 1349, 3170, 3558, 787, 378, 2984, 54, 411, 427, 107, 282, 1830, 1374, 3846, 9, 1402, 2133, 218, 3593, 3222, 1558, 3465, 278, 1158, 6, 331, 2613, 133, 907, 2950, 3426, 2125, 1254, 3174, 534, 918, 73, 1318, 1818, 2490, 3468, 390, 821, 108, 2582, 2102, 3158, 2150, 2435, 341, 200, 3393, 1709, 1885, 1882, 2908, 539, 2118, 3400, 230, 3677, 783, 520, 1350, 285, 1157, 9, 1351, 3105, 3085, 1142, 3547, 2057, 2598, 451, 36, 2332, 1880, 1345, 780, 618, 1096, 3513, 1617, 1650, 3105, 1308, 1329, 3333, 1165, 1048, 1367, 3669, 1105, 2789, 487, 805, 613, 3286, 1292, 437, 1677, 1230, 53 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 535, 273, 2405, 1291, 1270, 135, 3289, 2069, 2444, 3290, 1929, 406, 2069, 1061, 1141, 1036, 1626, 3626, 2758, 866, 3490, 1030, 330, 3258, 1178, 1357, 1404, 1626, 2162, 24, 1506, 2521, 23, 1832, 1330, 1367, 362, 3482, 1564, 1037, 1372, 1610, 1046, 1844, 1314, 1367, 358, 3738, 1568, 1037, 3448, 1658, 9, 1232, 3410, 1410, 1861, 3226, 3226, 26, 2028, 1157, 2401, 2520, 810, 1836, 1029, 2404, 2521, 30, 3169, 1223, 14, 3381, 3708, 634, 346, 1270, 1097, 1117, 3093, 277, 278, 1093, 1806, 2172, 265, 1050, 1109, 1813, 3098, 1029, 261, 285, 1033, 125, 1221, 74, 2309, 9, 1016, 355, 14, 682, 1369, 2351, 1379, 70, 666, 1506, 1901, 1369, 9, 2186, 1692, 145, 463, 25, 2717, 1670, 967, 469, 1269, 2105, 321, 149, 90, 1727, 26, 1536, 2565, 1354, 1391, 3717, 517, 1392, 2565, 1029, 27, 2605, 346, 1376, 1061, 346, 1437, 3717, 35, 1365, 27, 1493, 346, 387, 4037, 1226, 1158, 3866, 1032, 3162, 9, 1357, 822, 1349, 1018, 1285, 1113, 2104, 345, 259, 1349, 793, 517, 3418, 1041, 1369, 66, 1285, 3354, 2056, 349, 1014, 1349, 1018, 1288, 343, 257, 1365, 250, 1797, 26, 529, 3418, 59, 1429, 159, 1477, 430, 1861, 1114, 13, 2393, 29, 2425, 3146, 1285, 2714, 1031, 90, 43, 1349, 106, 2053, 666, 3334, 2393, 239, 1349, 430, 1861, 1626, 1030, 2650, 11, 2658, 22, 1349, 618, 1285, 1642, 3334, 2393, 175, 1365, 107, 1493, 282, 1032, 2650, 11, 2722, 30, 1349, 682, 1285, 1690, 3346, 2330, 1651, 2053, 1370, 1376, 3082, 1411, 4037, 1370, 2054, 1370, 2036, 3078, 1411, 4037, 1354, 1525, 1114, 1009, 9, 1289, 1382, 1354, 170, 37, 1389, 84, 3909, 507, 325, 89, 212, 3381, 453, 462, 53, 56, 1030, 1797, 4045, 1569, 65, 2136, 53, 1371, 5, 1040, 22, 3353, 1418, 2170, 1045, 2631, 381, 1285, 897, 14, 6, 2058, 326, 69, 282, 341, 197, 1829, 987, 782, 9, 774, 22, 1605, 1805, 2137, 1189, 1109, 2017, 1313, 21, 118, 1110, 1030, 3870, 1032, 54, 1797, 457, 266, 89, 1286, 586, 1909, 521, 1401, 140, 1221, 3166, 86, 1112, 3272, 6, 18, 1365, 1305, 1354, 1288, 1366, 1113, 1397, 939, 282, 3278, 1593, 33, 725, 5, 8, 2046, 2449, 2389, 6, 2312, 1685, 86, 3172, 1033, 1351, 1365, 3226, 1029, 233, 1247, 1285, 1640, 2571, 687, 540, 2810, 346, 1466, 3482, 1312, 1034, 2441, 44, 1114, 2162, 40, 1506, 473, 22, 1060, 1322, 1371, 358, 3482, 1309, 1066, 1402, 394, 162, 1114, 1474, 1250, 2394, 413, 606, 2885, 569, 1369, 1749, 570, 3550, 3397, 292, 3077, 1381, 133, 445, 154, 2058, 2039, 3077, 916, 156, 1798, 3722, 1035, 709, 1378, 1482, 1409, 1030, 869, 348, 1486, 1005, 1380, 1570, 2902, 1375, 3399, 3130, 26, 2793, 3130, 1594, 32, 21, 2930, 1397, 414, 16, 540, 1366, 2245, 268, 261, 637, 1548, 1230, 1806, 3337, 1351, 3846, 1294, 2781, 757, 21, 2854, 3237, 131, 2362, 869, 5, 1487, 345, 1669, 869, 517, 370, 3161, 119, 349, 2106, 2174, 1371, 3505, 3164, 58, 2182, 3420, 538, 1452, 1285, 1121, 3033, 1370, 1162, 2171, 1373, 1301, 346, 3145, 2009, 1371, 3410, 3482 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1312, 1051, 393, 858, 1814, 506, 346, 1722, 1915, 1369, 1509, 2394, 3141, 1113, 4057, 1371, 1842, 1915, 1625, 1317, 2398, 3401, 284, 570, 410, 1378, 1506, 2523, 397, 1627, 2380, 82, 1897, 2117, 1884, 1065, 1415, 1609, 1117, 1595, 1433, 10, 2310, 1378, 1625, 2600, 362, 1883, 460, 85, 2053, 173, 478, 1318, 1441, 826, 1498, 1365, 2822, 356, 1285, 1877, 3033, 2394, 2041, 1898, 1419, 3339, 1447, 1062, 1841, 1498, 1376, 1337, 2650, 1251, 154, 2908, 1130, 1894, 1286, 374, 3934, 1371, 1404, 1371, 1312, 2086, 1410, 9, 1485, 334, 1369, 3410, 3482, 1632, 1066, 1610, 1162, 130, 1114, 1348, 92, 2056, 3178, 1374, 591, 348, 1061, 1194, 1378, 1897, 1372, 41, 1690, 1436, 133, 459, 25, 2713, 1606, 3271, 277, 1077, 633, 90, 2797, 522, 387, 3909, 343, 2021, 10, 1114, 1525, 1114, 988, 3079, 1545, 1382, 1402, 153, 38, 1389, 84, 3909, 315, 325, 85, 212, 3349, 453, 461, 133, 36, 2118, 3845, 4089, 3548, 68, 2138, 1253, 1306, 1306, 1390, 1340, 1562, 1139, 154, 1306, 3578, 1373, 1749, 2398, 3398, 438, 3926, 1371, 3426, 3482, 1312, 1050, 2885, 74, 3266, 1114, 3578, 3550, 2390, 2952, 1396, 1285, 1121, 2106, 1370, 370, 410, 2592, 1066, 1722, 74, 3010, 1114, 1474, 1202, 2394, 445, 602, 1880, 1898, 1415, 1375, 1293, 1482, 3402, 1392, 1340, 1369, 1765, 347, 261, 284, 58, 90, 2648, 1506, 2394, 381, 603, 2901, 74, 3266, 2138, 1462, 1882, 342, 1285, 1392, 1333, 1137, 2265, 2329, 1755, 474, 2406, 2887, 1376, 1530, 1146, 1502, 1568, 1050, 2394, 261, 1910, 3, 2, 2422, 3642, 3860, 1909, 869, 2050, 1942, 3163, 1882, 451, 1511, 1546, 4067, 1361, 2580, 3276, 3997, 1433, 2129, 3269, 2054, 2054, 2210, 3326, 1943, 1210, 3953, 2425, 1925, 484, 1830, 3845, 3990, 3858, 1388, 4054, 3857, 3125, 1913, 1164, 3288, 2990, 3108, 3411, 2165, 2042, 3073, 3084, 1649, 3674, 2462, 1141, 529, 2018, 1183, 51, 1895, 370, 2466, 1640, 988, 1250, 3940, 1378, 801, 1021, 205, 1377, 1462, 3317, 1850, 3062, 783, 1598, 2877, 2340, 2538, 3937, 1401, 1952, 1940, 2794, 785, 2962, 214, 2157, 3590, 3750, 3135, 1571, 1954, 1528, 1438, 3693, 2955, 2246, 3365, 3118, 1854, 2034, 3683, 405, 6, 3697, 3665, 3251, 29, 3027, 1314, 2666, 389, 2121, 1937, 1413, 2844, 3877, 1880, 1586, 1229, 3462, 3083, 1044, 872, 61, 660, 3560, 1862, 3906, 2084, 786, 2593, 362, 1876, 805, 413, 2693, 3351, 518, 2867, 3932, 3137, 1131, 3272, 3704, 627, 2009, 1091, 3879, 175, 3926, 3441, 1105, 1809, 821, 833, 1930, 3546, 3608, 2821, 3987, 3171, 356, 1094, 3290, 3089, 802, 1718, 1782, 2933, 3118, 1794, 1508, 796, 1565, 3931, 1142, 3179, 2102, 1365, 2257, 3174, 1896, 808, 40, 3437, 2586, 2065, 2013, 2523, 1493, 2026, 1532, 783, 1257, 1863, 2138, 1290, 1582, 856, 1818, 3254, 1425, 3909, 545, 1313, 1077, 341, 124, 282, 378, 1133, 313, 346, 1372, 237, 3338, 100, 2901, 1237, 36, 1049, 2314, 3893, 3994, 1082, 2010, 3320, 776, 265, 524, 822, 3173, 901, 1913, 1420, 1413, 3432, 346, 288, 1784, 346, 3309, 408, 1378, 1560, 1361, 1925, 1883, 398, 1107, 1954, 59, 1506, 2470, 1806 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3552, 1406, 1564, 1042, 885, 3298, 3289, 2797, 1994, 1124, 3885, 3682, 2012, 1322, 3274, 4061, 1826, 1507, 821, 3706, 2849, 127, 1848, 794, 875, 1525, 2458, 75, 2041, 1428, 3284, 1306, 4085, 474, 1858, 3451, 1270, 3190, 417, 3972, 1368, 661, 1810, 1210, 1403, 3190, 2499, 1506, 1332, 4040, 1089, 788, 732, 1117, 2042, 3958, 3082, 2018, 609, 3858, 1042, 1909, 1946, 1125, 1529, 1989, 3236, 794, 3227, 428, 2058, 3425, 3866, 3286, 53, 1410, 1436, 3095, 3190, 1910, 1578, 3637, 3034, 929, 20, 1667, 1322, 1062, 3304, 258, 2045, 2879, 1821, 935, 1374, 4002, 1648, 1260, 1809, 2180, 1874, 3274, 4029, 966, 1572, 3654, 2170, 2020, 3432, 1989, 2108, 1095, 3219, 3402, 810, 3355, 3086, 2040, 3457, 3867, 3479, 3930, 1569, 3159, 1439, 792, 1155, 3575, 1926, 3683, 1945, 1959, 1572, 3428, 209, 1926, 2109, 1377, 3686, 3933, 2340, 1112, 1697, 1570, 170, 2205, 2426, 35, 1496, 1563, 2014, 1873, 788, 3133, 1306, 2823, 123, 3080, 296, 3169, 2744, 3409, 1577, 1420, 1154, 1822, 644, 1739, 3070, 1645, 803, 1316, 374, 2065, 127, 129, 3736, 1444, 1884, 4051, 1406, 2019, 1496, 3929, 2065, 1165, 628, 133, 947, 824, 378, 2826, 831, 1761, 2008, 41, 1862, 3691, 38, 2331, 923, 2014, 501, 803, 1416, 72, 3102, 3189, 565, 990, 1864, 923, 1020, 1257, 2145, 548, 1061, 93, 1082, 1890, 2001, 1531, 1567, 1803, 821, 3149, 53, 3701, 822, 1269, 3126, 3128, 1798, 4041, 1035, 7, 826, 1866, 545, 1892, 1809, 1877, 833, 118, 2077, 536, 1845, 3171, 3203, 3428, 3674, 3970, 1247, 129, 3718, 1126, 245, 3102, 1222, 1508, 3868, 1569, 147, 19, 75, 1398, 2869, 248, 102, 1112, 795, 1080, 3421, 1562, 2385, 3019, 491, 1496, 2841, 1529, 3358, 2074, 2443, 2445, 891, 90, 618, 1554, 3554, 3542, 76, 5, 1510, 550, 263, 2469, 1223, 1861, 3420, 2210, 1418, 1438, 280, 517, 5, 2357, 661, 782, 3538, 389, 1257, 140, 1679, 1050, 34, 1702, 3161, 1550, 1126, 330, 539, 22, 1191, 142, 1974, 2397, 1945, 2053, 2117, 550, 564, 1415, 8, 2567, 5, 141, 1062, 2122, 3078, 3637, 16, 533, 1249, 39, 286, 698, 2126, 3079, 1565, 1939, 2930, 2671, 2514, 2444, 682, 898, 891, 484, 2385, 75, 284, 1351, 412, 4010, 3436, 2188, 2559, 2139, 1407, 2396, 1699, 3391, 179, 403, 2142, 2666, 905, 2469, 1515, 999, 862, 2658, 2704, 201, 3430, 3245, 1846, 1854, 239, 3928, 693, 2159, 2883, 1029, 3746, 2147, 239, 3154, 1235, 2980, 3222, 180, 3701, 3320, 24, 2005, 903, 2133, 3766, 2225, 659, 1224, 1055, 933, 3976, 1265, 695, 3220, 3231, 101, 2305, 2071, 2394, 1349, 1815, 217, 523, 3409, 1413, 1545, 1100, 2173, 89, 645, 994, 294, 266, 3340, 3460, 538, 816, 540, 2053, 138, 1610, 2073, 527, 777, 809, 649, 1377, 1783, 517, 5, 63, 1272, 389, 86, 3441, 1293, 393, 908, 797, 773, 3917, 397, 45, 1125, 1655, 2138, 1910, 3420, 251, 282, 160, 2069, 2053, 3126, 2101, 3130, 1315, 469, 2582, 32, 146, 3461, 330, 2118, 1306, 3110, 282, 2102, 1676, 137, 3231, 374, 2773, 779, 350, 1066, 1868, 1093, 3157, 3270, 3349, 277, 805, 806, 1180, 3918, 804, 3726 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1428, 2150, 3690, 3343, 3727, 697, 656, 3471, 1417, 2511, 1487, 1791, 3739, 324, 2860, 28, 60, 1611, 848, 3511, 764, 1867, 2982, 1864, 2316, 774, 1882, 1193, 1374, 1493, 1031, 1221, 860, 3272, 3414, 1288, 200, 1528, 801, 3128, 3213, 1079, 3960, 473, 3288, 1236, 1923, 1405, 1818, 2578, 1415, 1370, 2410, 1338, 1354, 1306, 1115, 349, 1846, 1349, 802, 1395, 1387, 2977, 2229, 1349, 3601, 2056, 14, 425, 1932, 1102, 1851, 2834, 2309, 3870, 2569, 2058, 1797, 1161, 358, 2056, 859, 346, 3926, 3534, 181, 1669, 290, 105, 3206, 922, 1802, 422, 3397, 1301, 200, 513, 113, 792, 3254, 3386, 1511, 2186, 1994, 1541, 1393, 1393, 602, 843, 25, 773, 1819, 2885, 1042, 1404, 2571, 2079, 2585, 2326, 338, 1573, 801, 1874, 2169, 3277, 1550, 39, 1076, 1987, 795, 1118, 907, 2062, 2250, 2139, 2315, 14, 1627, 160, 3286, 1158, 2202, 2889, 2757, 3856, 1433, 1510, 389, 523, 430, 920, 216, 2075, 3355, 3428, 628, 2448, 3655, 3369, 1295, 1494, 3578, 1575, 547, 1484, 1035, 2202, 1887, 3642, 3165, 2327, 1476, 1305, 17, 2422, 1429, 1365, 795, 2593, 3418, 1301, 3417, 3717, 438, 2953, 284, 11, 602, 790, 3466, 1302, 3146, 3401, 605, 563, 1286, 3397, 1182, 1030, 793, 2171, 11, 3339, 3606, 3449, 1874, 2329, 1557, 1030, 1227, 22, 1432, 1829, 1863, 33, 773, 70, 3101, 2018, 1450, 136, 1544, 1633, 341, 397, 469, 1882, 1378, 2525, 359, 85, 8, 10, 269, 102, 3158, 2396, 90, 1532, 1862, 548, 345, 2058, 324, 1534, 1317, 329, 1361, 3082, 374, 2760, 645, 1438, 1869, 13, 1050, 1874, 1641, 1545, 1082, 1042, 550, 310, 840, 2561, 98, 1889, 1290, 166, 456, 9, 2338, 2205, 2373, 313, 2215, 1863, 270, 1097, 3434, 3349, 1225, 3153, 3145, 2213, 194, 3334, 1030, 1514, 89, 17, 81, 1225, 3147, 1575, 3154, 3269, 285, 1110, 2065, 91, 2407, 1989, 1291, 2605, 744, 2283, 1225, 3499, 2273, 1421, 171, 2258, 314, 1434, 2022, 3014, 276, 1814, 1873, 907, 3941, 2010, 3970, 2546, 1107, 2468, 613, 358, 2479, 277, 2123, 1425, 3467, 457, 363, 122, 1908, 1423, 401, 1419, 442, 3446, 1910, 622, 1145, 3419, 246, 3402, 3767, 762, 3218, 1743, 602, 348, 2224, 746, 1922, 365, 506, 2375, 378, 318, 2671, 3016, 1515, 1846, 2550, 2586, 3983, 87, 1404, 1179, 88, 1116, 411, 1435, 621, 850, 1388, 29, 2121, 2885, 1563, 1622, 1122, 470, 461, 2393, 1484, 3133, 791, 41, 1041, 1936, 1365, 1071, 2489, 270, 465, 37, 92, 2572, 1114, 3359, 460, 793, 1401, 843, 546, 159, 1033, 1034, 1349, 378, 3530, 32, 1343, 553, 2331, 150, 454, 1414, 2327, 1609, 2172, 1980, 138, 3345, 728, 1514, 1575, 534, 236, 1825, 1562, 281, 86, 3078, 198, 323, 801, 197, 781, 2645, 2904, 3256, 2178, 1151, 670, 2467, 378, 1532, 1467, 2405, 122, 1521, 2652, 1674, 1380, 3429, 3565, 2590, 2397, 347, 1097, 2135, 73, 1373, 2158, 2053, 261, 1032, 3607, 69, 8, 1302, 3270, 1701, 3905, 97, 265, 3418, 26, 353, 3093, 5, 117, 3225, 2171, 2449, 1442, 2590, 1370, 3958, 3470, 1386, 2057, 1406, 1918, 2987, 2394, 363, 274, 1370, 2154, 395, 1416, 1482, 2166, 1466 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3938, 346, 3151, 1432, 2212, 2187, 21, 1492, 1423, 2135, 2379, 210, 2027, 271, 2378, 872, 1435, 380, 1158, 2442, 2710, 889, 1452, 2059, 453, 347, 3094, 682, 1018, 1925, 100, 4042, 438, 2124, 3162, 1722, 3447, 1146, 358, 796, 2440, 843, 74, 1849, 3866, 3150, 2165, 2041, 3425, 1990, 1417, 3905, 826, 3335, 2060, 3420, 338, 421, 364, 348, 779, 266, 2038, 2068, 1096, 348, 3580, 2506, 822, 402, 2251, 2017, 17, 2591, 848, 785, 1487, 1034, 3466, 3077, 3400, 330, 1380, 1100, 2851, 395, 327, 973, 1740, 907, 3413, 3189, 347, 449, 3173, 1845, 1446, 1287, 647, 1478, 1798, 3190, 1605, 501, 161, 1286, 2486, 454, 2321, 845, 203, 3299, 774, 2773, 133, 1121, 173, 204, 4033, 217, 1221, 409, 3089, 713, 2449, 1079, 3144, 225, 3578, 261, 226, 605, 70, 1033, 37, 20, 1029, 1610, 1032, 3341, 121, 1292, 90, 3381, 376, 2021, 810, 1834, 3461, 1114, 1160, 1561, 345, 518, 2146, 1383, 3417, 1225, 261, 3538, 1033, 1031, 2180, 2565, 165, 18, 551, 1094, 1241, 3142, 1996, 1049, 201, 3370, 1225, 1499, 1050, 1078, 1400, 468, 854, 521, 1550, 1857, 1030, 806, 1302, 1621, 377, 262, 86, 3082, 268, 342, 3283, 3426, 3413, 209, 26, 3209, 1317, 2236, 1559, 477, 1802, 1115, 1880, 261, 1354, 1306, 1633, 3628, 201, 3418, 1045, 1098, 1274, 3295, 326, 609, 341, 3371, 98, 1335, 1550, 862, 2075, 651, 2129, 43, 3414, 1351, 346, 2636, 5, 1957, 2582, 1146, 1365, 1305, 24, 1094, 1440, 1287, 348, 264, 1074, 1750, 1384, 21, 2122, 1302, 1690, 5, 2065, 1304, 1041, 537, 85, 2313, 590, 2346, 1446, 777, 2310, 1687, 3675, 1109, 1625, 3546, 1328, 2312, 285, 2326, 2202, 3461, 30, 2074, 1673, 2125, 17, 1314, 1333, 3467, 31, 266, 2011, 597, 293, 3458, 3158, 1482, 1499, 3161, 477, 1380, 1382, 1402, 1429, 104, 1426, 3458, 1030, 73, 23, 1429, 265, 357, 2581, 1302, 19, 197, 6, 1653, 325, 1381, 330, 2371, 475, 1670, 3582, 3615, 3484, 1530, 2102, 3299, 1630, 3412, 1694, 405, 542, 1550, 2586, 2945, 1739, 677, 1691, 2622, 3184, 1114, 898, 2658, 2993, 2869, 3416, 1618, 1439, 506, 1913, 3658, 3276, 1294, 2444, 2397, 3743, 1376, 2526, 2330, 3308, 2444, 1645, 2199, 2337, 880, 414, 718, 1532, 1854, 687, 1591, 2472, 435, 2731, 1007, 2106, 3238, 1755, 2074, 3585, 3419, 1730, 3404, 662, 3950, 1690, 1615, 669, 3, 2, 46, 136, 1467, 137, 710, 363, 422, 3439, 37, 426, 2151, 1363, 2387, 2646, 2475, 3731, 395, 102, 2213, 2630, 2875, 951, 2875, 779, 49, 2699, 1643, 414, 1799, 2439, 648, 1690, 2700, 2085, 2674, 328, 1692, 2442, 2087, 3013, 54, 1991, 1359, 47, 1071, 1447, 2209, 3437, 653, 482, 2101, 2719, 1185, 2492, 584, 1114, 2204, 1991, 2575, 140, 166, 1680, 1706, 3232, 1882, 3119, 420, 106, 2027, 3438, 1271, 2565, 3124, 1899, 1834, 2453, 2696, 920, 2450, 1179, 2444, 712, 627, 1474, 3720, 1831, 3335, 161, 328, 2780, 2427, 3309, 2410, 1104, 173, 1874, 391, 3979, 3515, 1414, 180, 997, 47, 3172, 23, 3034, 761, 2299, 1368, 1039, 45, 1460, 1413, 2484, 574, 759, 7, 2955, 3675, 3462, 2873, 645, 2759 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1851, 823, 1730, 1163, 1451, 1898, 2439, 3358, 839, 1420, 272, 39, 3194, 1834, 3124, 3245, 3044, 2215, 2933, 411, 3058, 1822, 91, 1414, 2065, 2833, 3039, 2165, 568, 851, 1978, 56, 581, 3091, 2385, 3167, 235, 4019, 81, 968, 2620, 787, 315, 3350, 3181, 436, 785, 2784, 3269, 2458, 2100, 2028, 200, 389, 963, 1352, 812, 1514, 3449, 967, 3494, 3873, 1441, 788, 997, 3745, 3204, 1016, 1013, 823, 3138, 3201, 3907, 3322, 1820, 1050, 968, 1627, 3194, 1636, 1889, 1141, 822, 2428, 682, 1491, 1237, 2433, 3280, 197, 968, 3276, 678, 920, 2596, 38, 3991, 3558, 155, 1438, 2427, 3238, 1378, 1118, 2535, 411, 69, 3620, 534, 2185, 1110, 3851, 2362, 726, 2601, 2934, 3381, 966, 358, 3081, 3146, 857, 348, 1402, 3237, 17, 197, 29, 1209, 345, 1878, 1349, 2629, 2789, 337, 1394, 1082, 1095, 1102, 389, 1354, 2058, 1100, 1126, 539, 878, 3619, 333, 519, 2383, 518, 3148, 1371, 3585, 790, 1542, 1365, 24, 1453, 821, 6, 3146, 3079, 3096, 2913, 3021, 3458, 801, 377, 1250, 1069, 82, 140, 3144, 1289, 460, 248, 200, 261, 2373, 828, 12, 1005, 529, 3276, 1800, 816, 97, 1417, 3623, 1681, 1412, 36, 4044, 1707, 1707, 1638, 2157, 1455, 610, 2475, 2635, 1370, 1438, 2534, 2197, 1542, 2298, 1333, 1034, 2342, 421, 1833, 1107, 221, 2389, 5, 5, 341, 345, 1906, 1815, 1866, 2309, 42, 1557, 842, 282, 1493, 1232, 218, 1821, 78, 281, 1046, 860, 173, 14, 1305, 5, 8, 209, 3553, 679, 133, 205, 2890, 1498, 1629, 2429, 367, 152, 3059, 2974, 2395, 1514, 1544, 2443, 1450, 2415, 1134, 2442, 1642, 1371, 1369, 1221, 517, 2586, 2393, 265, 1285, 518, 229, 298, 1446, 1353, 2390, 557, 1190, 1453, 257, 1360, 18, 2718, 2665, 1566, 2390, 1583, 2127, 135, 2455, 411, 1435, 1435, 2475, 1366, 1386, 1349, 1562, 549, 31, 55, 30, 3083, 1606, 37, 422, 9, 773, 520, 453, 3957, 1169, 3301, 210, 181, 474, 1672, 2414, 2150, 2085, 2088, 2085, 2085, 2085, 2206, 2383, 1639, 1447, 2463, 1679, 3343, 2703, 3510, 3231, 1675, 3132, 3505, 2925, 2947, 813, 2626, 1669, 133, 2629, 2607, 3483, 3469, 2935, 695, 2670, 466, 2647, 427, 3130, 2653, 3847, 3259, 3509, 3723, 178, 1443, 2994, 31, 449, 3491, 3498, 899, 1667, 1657, 3655, 3470, 1330, 2285, 1584, 3646, 2435, 1615, 270, 1446, 3848, 1398, 2475, 1723, 1725, 730, 2478, 2672, 2674, 607, 1502, 2671, 3422, 155, 1423, 3486, 2494, 3886, 2113, 2059, 449, 4059, 3518, 3949, 2378, 1789, 3853, 3415, 3467, 3773, 859, 135, 2654, 1127, 3033, 2816, 3125, 3301, 39, 1792, 4045, 4085, 824, 3877, 1648, 2811, 1666, 4034, 3128, 1601, 2252, 3841, 897, 3896, 1762, 4089, 1548, 1170, 1959, 514, 3998, 3194, 356, 3758, 575, 830, 2608, 2583, 1069, 426, 2397, 2059, 1627, 1386, 1372, 1370, 1402, 1506, 1270, 3101, 775, 1282, 1370, 1372, 2396, 396, 198, 2908, 2394, 1129, 2385, 1366, 1378, 401, 375, 286, 1447, 3961, 414, 2437, 2660, 3414, 3930, 2392, 2426, 3829, 1290, 1818, 3229, 1093, 1150, 1672, 1898, 2077, 1118, 3893, 341, 282, 414, 118, 1882, 2138, 78, 2378, 3365, 1315, 1434, 385, 1629, 226, 3913, 326 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 728, 2073, 3657, 730, 197, 3715, 1118, 1898, 2599, 2185, 1399, 1947, 1553, 244, 3662, 1311, 1614, 557, 1551, 1317, 1380, 3046, 1837, 1102, 1378, 1702, 146, 1033, 2053, 3333, 121, 2827, 3442, 2123, 578, 1511, 99, 1374, 1445, 1323, 3362, 342, 1029, 123, 311, 1295, 20, 263, 473, 273, 1928, 1143, 1183, 3537, 3315, 3098, 3418, 3546, 274, 1541, 55, 71, 1133, 3152, 2013, 5, 3206, 150, 3606, 740, 1761, 906, 3204, 300, 1411, 1403, 1804, 1898, 3194, 1994, 2171, 2690, 2462, 2121, 1681, 859, 206, 293, 2533, 1900, 2053, 2189, 1129, 1097, 1037, 2141, 303, 610, 2395, 895, 2464, 2394, 1318, 4098, 1538, 1477, 2408, 3092, 776, 50, 3113, 96, 527, 1374, 1380, 479, 347, 2399, 1370, 3211, 934, 261, 1045, 1081, 1098, 1290, 1835, 1125, 3358, 581, 1146, 1546, 777, 3629, 12, 326, 1718, 1135, 180, 4085, 2130, 2609, 981, 342, 3079, 3131, 1239, 1126, 2249, 1094, 1039, 1336, 325, 590, 3852, 1029, 243, 17, 3573, 1030, 390, 3143, 1630, 21, 3512, 3197, 792, 1755, 3861, 491, 1497, 1733, 378, 3873, 3545, 2057, 778, 2095, 2331, 285, 33, 433, 181, 2005, 3125, 1414, 2060, 3338, 2246, 3078, 2312, 1038, 33, 1541, 1286, 246, 3225, 306, 3339, 2118, 3173, 374, 2049, 281, 454, 267, 314, 3950, 1541, 5, 1669, 93, 2661, 3743, 58, 2567, 2594, 802, 2461, 519, 2575, 2229, 517, 789, 30, 2067, 2767, 2074, 369, 1079, 197, 530, 3402, 350, 1662, 1437, 332, 3486, 3493, 54, 1102, 313, 314, 1505, 922, 1365, 1254, 902, 1752, 197, 3109, 2566, 3461, 106, 3417, 15, 88, 1383, 3469, 3687, 533, 1031, 14, 2586, 1370, 1095, 3525, 133, 517, 2055, 65, 821, 1408, 2853, 2097, 1739, 882, 2922, 2449, 1634, 1629, 246, 1612, 2789, 3306, 2844, 1134, 2465, 3868, 3910, 677, 1190, 3861, 2072, 2880, 2068, 16, 113, 1089, 1046, 1762, 2112, 3079, 1405, 922, 3685, 1820, 2616, 942, 2874, 325, 2387, 2834, 2267, 1809, 2849, 801, 1032, 2228, 2884, 228, 3469, 824, 2308, 786, 1435, 1457, 1745, 799, 1811, 1825, 840, 1100, 2155, 1653, 3317, 1505, 3845, 1406, 1555, 1349, 3444, 154, 1498, 389, 1084, 1978, 3098, 2017, 482, 294, 2086, 1353, 460, 2918, 474, 3340, 293, 1058, 2167, 1386, 2414, 1883, 854, 459, 1565, 109, 4060, 124, 462, 1692, 17, 1490, 2287, 986, 2291, 2951, 412, 2556, 974, 268, 1370, 1299, 2522, 3686, 2012, 1105, 1820, 1818, 2556, 1368, 201, 3390, 2436, 472, 1340, 204, 410, 4044, 453, 2596, 2437, 4040, 202, 479, 1497, 3272, 201, 1256, 1021, 1510, 3421, 2025, 2378, 1158, 2201, 913, 2068, 1129, 222, 1066, 1753, 1050, 3430, 1865, 1599, 1382, 1490, 1303, 220, 2589, 1507, 974, 1835, 2515, 923, 776, 3355, 1742, 2412, 1551, 1413, 1954, 3358, 2081, 1081, 3209, 314, 4002, 137, 319, 733, 2524, 2317, 2437, 1425, 566, 798, 1336, 3081, 3046, 1997, 3236, 1044, 3612, 378, 2436, 116, 1380, 3932, 836, 2132, 57, 4088, 3685, 3867, 422, 793, 1442, 3928, 290, 3433, 2075, 840, 24, 857, 2810, 2571, 1285, 2439, 1269, 3682, 1123, 3703, 519, 55, 2133, 3519, 217, 1374, 1484, 1482, 482, 3130, 3176, 2020, 2123, 793, 3385, 44, 1062, 1250 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1478, 1862, 3389, 2387, 972, 1437, 3528, 81, 260, 42, 3013, 3748, 3201, 840, 3454, 1159, 3392, 1572, 957, 634, 324, 1094, 395, 1245, 1630, 540, 2054, 2313, 3501, 1498, 442, 2447, 230, 1366, 1402, 2139, 695, 971, 1125, 175, 3531, 2516, 3453, 1544, 3738, 2048, 1570, 2169, 288, 235, 3425, 1488, 464, 2654, 2829, 2155, 3746, 3372, 1813, 2266, 92, 3931, 1676, 414, 3526, 526, 1565, 1865, 198, 3721, 1862, 1722, 2391, 1926, 362, 1661, 1568, 1353, 1674, 33, 3334, 3619, 1222, 2233, 1368, 1230, 570, 3402, 2626, 1822, 2190, 1933, 261, 2130, 1032, 1350, 570, 2133, 378, 1125, 777, 2106, 2006, 2061, 1101, 3285, 189, 1225, 1100, 286, 2184, 133, 573, 677, 8, 17, 205, 490, 3577, 213, 2703, 2786, 1494, 2361, 237, 117, 426, 850, 1530, 510, 3228, 1881, 3678, 106, 2555, 1575, 2566, 2654, 1195, 358, 1370, 2024, 2289, 2246, 2189, 873, 3675, 1556, 1389, 2019, 2020, 996, 2002, 1013, 2068, 967, 929, 3078, 890, 1403, 1130, 706, 3995, 1435, 689, 1059, 2184, 931, 3224, 659, 383, 1928, 884, 1426, 3386, 3386, 2128, 3211, 761, 2747, 3818, 3476, 659, 166, 3999, 1414, 2938, 2042, 2010, 2430, 3486, 2586, 2591, 1690, 3642, 298, 3226, 3434, 4054, 2835, 1694, 3532, 2188, 1636, 3354, 1919, 15, 183, 270, 2138, 2772, 3418, 680, 1097, 390, 2541, 23, 904, 3768, 1286, 2570, 1228, 1541, 1029, 504, 1349, 203, 1465, 2078, 2009, 60, 1562, 1526, 2379, 2135, 1099, 1846, 1190, 1442, 56, 1044, 17, 902, 676, 3177, 3592, 1586, 909, 2427, 3096, 25, 3949, 2263, 2157, 3897, 1597, 3615, 789, 1580, 1105, 3518, 197, 3709, 1357, 3094, 1939, 4002, 3902, 2593, 1415, 1610, 46, 2685, 2127, 54, 1418, 1334, 417, 136, 136, 2727, 868, 858, 337, 3985, 2133, 932, 249, 583, 2148, 1442, 1034, 1889, 24, 3602, 467, 545, 2339, 2014, 3170, 3860, 1689, 3098, 2406, 502, 424, 3229, 3085, 669, 707, 1549, 3598, 11, 3589, 4042, 2056, 869, 3288, 1154, 1091, 33, 1553, 806, 3094, 2321, 137, 141, 3650, 1878, 3556, 631, 2515, 659, 234, 3451, 2622, 23, 649, 3348, 3727, 2613, 3983, 908, 2435, 2130, 988, 3958, 1226, 3273, 2903, 351, 3923, 265, 2157, 911, 685, 117, 2443, 2569, 2126, 1802, 309, 2430, 795, 2962, 3747, 585, 1647, 1646, 2926, 1669, 2505, 2215, 2387, 652, 3208, 2394, 777, 1450, 3403, 2421, 1158, 803, 1811, 2259, 931, 2155, 1939, 3275, 2829, 1679, 333, 850, 2244, 2650, 315, 2123, 2452, 1766, 2573, 3340, 3466, 971, 1866, 1675, 402, 367, 1823, 169, 2133, 546, 184, 1805, 135, 1545, 1800, 415, 1205, 3942, 37, 3374, 3533, 2102, 2149, 1990, 2280, 1174, 1800, 1633, 3090, 104, 1455, 353, 1086, 2645, 2168, 1854, 2216, 2282, 2890, 1255, 1098, 2069, 2207, 925, 536, 1560, 2120, 2596, 3846, 1806, 1816, 2151, 2278, 2118, 171, 2605, 106, 1105, 923, 2522, 2218, 1702, 2421, 3752, 87, 2463, 461, 2902, 1150, 1533, 351, 2281, 2085, 1541, 1591, 1334, 2309, 2454, 405, 345, 1590, 2322, 795, 1166, 1162, 1656, 2145, 782, 1080, 2402, 3384, 2328, 1094, 1136, 3840, 3294, 1270, 3191, 3837, 2266, 1073, 1556, 1057, 436, 2873, 756, 3045, 2104, 1189, 2271, 817 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 798, 1987, 1073, 1047, 177, 3185, 2894, 3, 2, 1082, 5, 57, 3097, 372, 325, 38, 10, 6, 297, 1045, 1677, 3077, 329, 270, 777, 346, 1370, 144, 71, 1222, 601, 2393, 2390, 7, 343, 330, 1305, 262, 7, 461, 266, 373, 171, 1438, 1386, 313, 3389, 86, 262, 2366, 1386, 1360, 2073, 4074, 1122, 1938, 3554, 1248, 456, 1912, 1808, 666, 2378, 1832, 3093, 1858, 3578, 3614, 3870, 2838, 28, 512, 91, 768, 3724, 70, 2158, 2506, 1634, 227, 2913, 984, 1952, 338, 3691, 1630, 1176, 3396, 3172, 3242, 3329, 1858, 2437, 875, 27, 26, 1665, 3342, 1863, 672, 651, 2118, 886, 1113, 2910, 2396, 3506, 3295, 1646, 417, 3040, 3443, 1207, 3041, 1402, 800, 3335, 222, 1550, 1685, 725, 2831, 3242, 1221, 3852, 238, 279, 2309, 22, 3586, 3442, 982, 241, 1665, 2135, 10, 3409, 3990, 3417, 3541, 344, 3425, 3940, 435, 3715, 1654, 2104, 2406, 2499, 390, 3453, 120, 1435, 1497, 3616, 278, 2428, 3928, 474, 3452, 327, 2925, 599, 406, 3423, 3209, 1365, 356, 348, 1626, 1110, 2121, 690, 1485, 1097, 1381, 173, 2320, 9, 1289, 78, 858, 1736, 3077, 5, 2908, 2134, 1339, 1477, 2085, 373, 245, 988, 1788, 133, 1397, 4007, 1478, 127, 1302, 1378, 2248, 2381, 1502, 983, 1498, 153, 362, 522, 1654, 646, 1913, 285, 2514, 1244, 1420, 1498, 2135, 2565, 133, 862, 562, 2022, 1690, 2396, 3465, 1144, 1398, 134, 277, 605, 29, 3866, 1628, 2310, 2824, 859, 3333, 3158, 1820, 1365, 3413, 1298, 156, 1274, 1051, 7, 1496, 3358, 2273, 1110, 2010, 453, 1122, 328, 3682, 3509, 1403, 1539, 3054, 1433, 1589, 1479, 2449, 2245, 2517, 1039, 54, 641, 2172, 1147, 4010, 2002, 2924, 1065, 13, 164, 266, 423, 3146, 582, 2140, 30, 1634, 86, 2328, 362, 778, 598, 2463, 13, 1441, 150, 2566, 1402, 1430, 1750, 1504, 23, 1478, 3333, 1682, 2433, 1238, 2571, 851, 2966, 1903, 154, 1054, 9, 1932, 337, 331, 9, 1825, 1505, 3676, 427, 199, 1718, 2318, 2209, 2464, 2841, 477, 2204, 53, 2385, 567, 549, 3097, 722, 1782, 1670, 1525, 1687, 3488, 2616, 862, 2805, 1678, 13, 604, 2437, 2771, 1387, 553, 2082, 1443, 1643, 1643, 1227, 2379, 553, 3185, 454, 1489, 333, 565, 3306, 200, 775, 3125, 3125, 3144, 18, 2777, 3276, 3262, 1590, 1551, 738, 2182, 2451, 1184, 609, 2565, 3461, 667, 1179, 1448, 891, 1750, 600, 2136, 3174, 1630, 1542, 2471, 2422, 2758, 3679, 1882, 922, 156, 3167, 1648, 3374, 3117, 674, 1598, 1386, 2105, 3229, 2423, 2396, 366, 3285, 679, 1598, 1630, 2721, 3335, 2603, 923, 1439, 2514, 47, 616, 2410, 1503, 3902, 1259, 1194, 94, 3525, 2465, 3386, 2104, 2154, 3086, 1181, 2553, 558, 2017, 278, 2536, 3938, 2408, 1137, 1629, 558, 3626, 2470, 1117, 2566, 2713, 1798, 3918, 1062, 2326, 3428, 1438, 2934, 812, 2910, 1513, 485, 1767, 1404, 871, 897, 1885, 2526, 1661, 2055, 2366, 2205, 2167, 2393, 645, 1514, 2404, 2470, 2525, 493, 1098, 2538, 2263, 1485, 745, 2350, 1661, 28, 3163, 2282, 380, 1453, 2760, 3334, 654, 2677, 3382, 2409, 2654, 1310, 3709, 1246, 3293, 2262, 2653, 780, 862, 2653, 1433, 1062, 922, 2526, 375, 2665, 470 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2386, 423, 1421, 3683, 2275, 1690, 834, 1515, 262, 2536, 582, 2574, 3105, 3729, 1731, 2425, 2635, 376, 1162, 234, 2575, 3627, 1814, 3854, 3755, 271, 1655, 1899, 271, 1629, 1594, 3650, 1299, 1480, 1853, 2698, 3897, 206, 3929, 3684, 1674, 2565, 1453, 847, 1351, 789, 2655, 1846, 375, 506, 2623, 1388, 1651, 523, 1674, 2578, 411, 1533, 1647, 30, 1419, 1543, 1656, 1489, 831, 1361, 1574, 635, 2460, 1644, 3134, 465, 285, 1613, 1095, 852, 1036, 1118, 2603, 1875, 1628, 23, 552, 2528, 1113, 2474, 1557, 2571, 1443, 455, 1756, 172, 1499, 2146, 2433, 3170, 2450, 2582, 822, 2395, 904, 2191, 1311, 3862, 2457, 1805, 1070, 1602, 1885, 280, 378, 1758, 983, 2593, 773, 3771, 1424, 1675, 1892, 863, 477, 2273, 3471, 375, 839, 817, 376, 547, 1423, 642, 3272, 415, 1813, 1610, 2655, 1378, 3096, 2649, 655, 874, 3673, 170, 3931, 1614, 2573, 366, 3226, 2460, 143, 2201, 2288, 386, 1441, 161, 1644, 1294, 143, 2108, 1499, 1489, 886, 1610, 1632, 1549, 3674, 167, 409, 1053, 3294, 1810, 3674, 1816, 1562, 3997, 3866, 2605, 1630, 3339, 472, 3606, 2686, 413, 1554, 607, 1563, 157, 1054, 2451, 1501, 3915, 1402, 1963, 1347, 1502, 2557, 353, 1146, 2465, 2680, 1378, 2677, 3182, 3370, 321, 3166, 1653, 3234, 1401, 1565, 1653, 621, 2657, 565, 349, 1631, 1388, 1390, 3622, 1544, 2369, 372, 1337, 3654, 4037, 1541, 2441, 2680, 3446, 2010, 972, 1628, 1161, 734, 1641, 143, 538, 2345, 309, 2155, 1630, 1547, 421, 620, 111, 1486, 2586, 3861, 2704, 78, 2651, 1342, 2561, 1619, 1390, 1634, 3093, 535, 720, 2157, 106, 1414, 2616, 26, 3854, 3702, 3495, 94, 1601, 409, 1438, 502, 3254, 3958, 2524, 392, 1166, 3642, 3198, 3673, 3749, 91, 1309, 941, 2397, 2451, 298, 2447, 1499, 268, 3436, 1415, 2398, 3598, 2587, 1890, 4089, 1148, 2170, 2531, 2382, 303, 1627, 1511, 605, 1543, 1313, 1512, 158, 813, 1309, 3434, 995, 1362, 1387, 1578, 1914, 1679, 346, 1446, 1657, 118, 3782, 3741, 1627, 3484, 776, 1039, 2191, 1386, 3240, 1566, 3335, 3276, 22, 1830, 2541, 812, 1859, 729, 3958, 2725, 990, 3297, 536, 2579, 1439, 1401, 546, 1854, 3373, 42, 3436, 1914, 1454, 269, 2270, 1573, 153, 350, 3147, 2525, 1648, 37, 2651, 1323, 15, 1676, 3746, 1966, 482, 2698, 2540, 1958, 418, 1422, 1954, 1878, 2257, 1441, 1699, 2126, 940, 1963, 1238, 280, 1811, 1646, 1119, 1622, 3099, 609, 3500, 2167, 1637, 1167, 378, 2970, 3099, 319, 1443, 1429, 863, 2145, 1128, 350, 1542, 2452, 121, 1607, 1692, 1223, 78, 1887, 426, 2422, 42, 3226, 3718, 1690, 1195, 821, 778, 355, 2142, 170, 1697, 2387, 1447, 59, 2152, 299, 2414, 2018, 2124, 3089, 559, 843, 2134, 2603, 1436, 443, 2399, 2446, 2170, 171, 1859, 1176, 647, 2059, 1491, 395, 2391, 1251, 1883, 2723, 650, 1946, 3434, 1416, 2602, 3341, 1502, 2421, 3551, 1450, 1725, 109, 3639, 1386, 1691, 1889, 1364, 1675, 607, 1667, 2513, 2383, 1783, 264, 667, 2711, 990, 799, 1681, 587, 1624, 1429, 1450, 1818, 2979, 582, 139, 392, 1350, 3755, 1631, 282, 2082, 1434, 3302, 393, 3659, 981, 3982, 1046, 2102, 1948, 155, 404, 156, 108, 250 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 360, 417, 102, 2396, 3115, 423, 363, 1416, 858, 1851, 1510, 1657, 329, 170, 3292, 201, 3232, 3428, 209, 2407, 2057, 2266, 408, 3939, 2579, 1427, 1938, 2385, 347, 3194, 2648, 1194, 415, 3258, 1141, 3174, 422, 2986, 1419, 1483, 3166, 1946, 1435, 2486, 2796, 1386, 2387, 1995, 795, 411, 1450, 1060, 2005, 3027, 1755, 2213, 907, 1365, 2726, 2222, 1228, 1845, 2160, 1882, 2568, 1797, 399, 3855, 437, 2529, 106, 234, 1914, 1830, 2484, 1334, 2545, 426, 3295, 172, 3692, 297, 354, 3306, 1823, 1553, 624, 405, 2446, 3230, 2998, 1058, 2190, 1800, 153, 3112, 551, 198, 1073, 3444, 365, 356, 110, 734, 2980, 826, 2472, 109, 2501, 2058, 1949, 177, 3675, 1575, 1158, 3422, 3691, 1643, 1641, 3182, 1127, 593, 1734, 3098, 3270, 1159, 786, 3413, 3128, 49, 785, 785, 1077, 223, 3409, 3201, 2971, 795, 167, 3549, 2078, 2281, 2487, 1487, 18, 2055, 2360, 1899, 3351, 1341, 1345, 1563, 1435, 70, 1369, 277, 9, 3126, 3429, 1048, 774, 2077, 1609, 275, 33, 1896, 589, 3127, 3153, 779, 410, 2471, 2914, 1385, 3271, 1180, 3023, 598, 1050, 1281, 1142, 375, 951, 1069, 113, 1141, 2313, 1030, 3078, 37, 162, 278, 330, 1038, 3525, 3429, 1382, 1586, 2209, 357, 75, 49, 1141, 1366, 2218, 1466, 1427, 10, 3866, 774, 3337, 3354, 2582, 133, 730, 1305, 138, 186, 131, 535, 2833, 287, 1029, 384, 2606, 3933, 883, 1153, 2038, 3964, 1758, 3686, 2098, 538, 695, 1248, 3870, 286, 1617, 3930, 1246, 1343, 2086, 1029, 1029, 44, 1786, 727, 3450, 1428, 1391, 1293, 3121, 3610, 2137, 1530, 1433, 197, 1374, 3466, 3462, 3516, 3237, 166, 1038, 3146, 3306, 1302, 3418, 1497, 3426, 997, 373, 2393, 2426, 985, 1082, 3254, 89, 3634, 2905, 3530, 105, 1484, 3551, 379, 2110, 2568, 2583, 6, 2328, 3580, 1723, 365, 2322, 970, 1378, 1478, 2139, 1097, 3334, 1162, 2582, 866, 773, 2714, 343, 1401, 1389, 3354, 1082, 1642, 1304, 905, 3421, 3269, 1394, 1386, 1742, 282, 2616, 538, 989, 1423, 3929, 1882, 1626, 1802, 1526, 1412, 3146, 1050, 1446, 2522, 469, 1365, 73, 1371, 1146, 1353, 1093, 337, 1829, 17, 277, 106, 2821, 2844, 2162, 2138, 3158, 2522, 2698, 277, 332, 3401, 1316, 1364, 2522, 1818, 2429, 1434, 74, 1425, 342, 1734, 986, 88, 1458, 527, 137, 3089, 1110, 1242, 1499, 1117, 348, 501, 1897, 2473, 2573, 3932, 136, 3162, 3608, 1304, 1109, 60, 581, 216, 58, 824, 2041, 3548, 2311, 601, 1434, 2489, 2567, 1826, 3147, 1030, 3226, 3116, 17, 3302, 910, 2853, 1029, 4058, 1816, 429, 2506, 414, 3136, 7, 2714, 1374, 2439, 1488, 340, 3422, 1630, 2659, 2994, 2018, 4011, 1775, 707, 3270, 2414, 2398, 2719, 1647, 1370, 2340, 2392, 1827, 1515, 4075, 2539, 2218, 1951, 1706, 2481, 435, 2994, 3563, 1203, 202, 1837, 3428, 1643, 2412, 171, 2767, 2472, 679, 2254, 416, 1528, 2413, 622, 1438, 2842, 1954, 1858, 2408, 408, 3176, 412, 1425, 2401, 3755, 1227, 2042, 1514, 1206, 2329, 2540, 1917, 3442, 3919, 214, 1451, 1770, 3428, 922, 3934, 2331, 2191, 1643, 427, 1245, 2454, 2056, 3420, 1643, 1800, 3385, 350, 1478, 1367, 2414, 1525, 2175, 1466, 1102, 1594, 2717, 2593, 3874 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3190, 1431, 1242, 1278, 3930, 669, 289, 4002, 1142, 2430, 1086, 2110, 3434, 669, 1313, 3868, 1498, 1738, 3882, 2826, 2282, 2393, 2664, 1144, 3458, 1482, 2518, 234, 1002, 2457, 2662, 1144, 3194, 341, 42, 2009, 829, 358, 3402, 3422, 1530, 2010, 2421, 349, 2964, 264, 3080, 534, 3259, 1293, 774, 3178, 4062, 1998, 2614, 1499, 392, 228, 2010, 1765, 2727, 670, 2760, 1492, 1371, 1574, 2489, 925, 786, 2019, 1403, 3734, 3658, 3391, 3354, 2166, 3802, 1133, 2360, 3194, 3614, 2807, 913, 1581, 892, 2462, 1115, 2824, 2443, 1570, 1939, 586, 3963, 1735, 1362, 1945, 634, 470, 3678, 346, 1434, 2942, 1442, 477, 1401, 3644, 3418, 1535, 1401, 3742, 1484, 1180, 1479, 2139, 1674, 3457, 3288, 102, 1301, 62, 860, 645, 5, 799, 2209, 1379, 2071, 2058, 1321, 1453, 327, 1871, 229, 1130, 1410, 1493, 2118, 1411, 58, 3, 2, 3408, 676, 2134, 2974, 659, 1045, 2451, 1030, 3599, 910, 2597, 391, 1719, 633, 2439, 143, 456, 235, 2017, 1657, 2581, 839, 176, 370, 2155, 1518, 2382, 2955, 5, 2915, 239, 3083, 662, 1608, 159, 699, 406, 200, 3425, 1690, 75, 764, 1223, 1696, 3404, 3596, 2488, 2721, 216, 1514, 2121, 3610, 172, 13, 1229, 1305, 532, 1345, 1663, 1782, 1401, 1404, 105, 1383, 2115, 2319, 1891, 1596, 90, 415, 4073, 3840, 813, 3653, 1569, 1673, 1076, 15, 214, 41, 2487, 427, 3129, 645, 2655, 89, 461, 1345, 1823, 107, 2437, 401, 414, 2367, 262, 1349, 2463, 2909, 1293, 1575, 2958, 1434, 63, 524, 1390, 3475, 3102, 1471, 1495, 537, 2327, 3438, 3181, 407, 551, 551, 533, 2573, 155, 87, 2565, 1564, 2065, 519, 7, 794, 1822, 2218, 390, 2411, 65, 435, 1374, 1992, 2591, 3669, 2971, 2701, 155, 805, 2609, 4077, 1683, 903, 1515, 696, 2058, 2404, 3066, 3696, 1652, 3476, 1002, 814, 1374, 1471, 1393, 1390, 2474, 4011, 871, 133, 3722, 2458, 2412, 423, 139, 1420, 366, 155, 2447, 337, 913, 903, 135, 910, 894, 2466, 1883, 3930, 3943, 807, 378, 156, 480, 337, 2438, 2642, 583, 1467, 1617, 2705, 161, 1697, 1823, 4064, 677, 1165, 678, 2443, 37, 667, 355, 1549, 1883, 1032, 822, 2465, 2438, 2063, 1628, 101, 2401, 2533, 2189, 2185, 2165, 28, 40, 5, 1589, 133, 2101, 97, 1445, 2357, 550, 2833, 1590, 1486, 13, 3895, 1336, 20, 3458, 3082, 1177, 2390, 3185, 3893, 3781, 1444, 648, 2555, 30, 3278, 1805, 3269, 3078, 1039, 2362, 1297, 2296, 530, 2068, 249, 203, 1799, 1498, 778, 1229, 2087, 62, 3229, 157, 209, 2097, 24, 3105, 120, 3873, 1381, 43, 2181, 3284, 2053, 3141, 3845, 3845, 3084, 3295, 200, 345, 12, 46, 1288, 2125, 2053, 200, 53, 29, 340, 3676, 3269, 997, 3958, 535, 534, 525, 3296, 1231, 70, 158, 586, 3413, 3137, 776, 813, 612, 3333, 478, 2113, 3125, 3867, 3445, 2539, 1461, 1367, 1477, 199, 1642, 1242, 1664, 104, 529, 20, 69, 1221, 2256, 203, 1892, 2458, 3402, 330, 332, 1864, 1052, 1372, 3261, 557, 308, 1541, 1003, 58, 590, 2410, 2287, 2605, 597, 46, 2515, 650, 1495, 1562, 2411, 1626, 2454, 2182, 1381, 1365, 26, 3576, 1174, 222, 264, 1412, 3894, 1350, 3541, 3323, 2084 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1877, 786, 3930, 2438, 3210, 777, 1285, 2507, 1094, 1402, 3941, 37, 1098, 600, 2124, 1041, 282, 3916, 1197, 2630, 1409, 342, 1109, 69, 2197, 3290, 1369, 281, 24, 3100, 3077, 2057, 21, 3081, 2006, 3340, 826, 1179, 406, 2571, 53, 3694, 1309, 811, 1122, 45, 136, 3109, 234, 245, 2316, 343, 3490, 2649, 3097, 3722, 1306, 2393, 1834, 62, 534, 331, 1113, 1418, 2143, 2278, 1123, 1065, 2338, 362, 3383, 3145, 2314, 1308, 669, 1290, 1817, 30, 1960, 521, 645, 3141, 2173, 1245, 520, 774, 715, 453, 201, 2320, 2681, 6, 2389, 101, 133, 389, 3286, 1354, 2017, 407, 807, 3416, 1253, 14, 353, 1370, 2246, 281, 1371, 1414, 1627, 2459, 2249, 1097, 102, 3601, 777, 1495, 151, 41, 1034, 3077, 826, 2565, 1289, 408, 876, 3139, 1223, 6, 58, 3068, 20, 341, 289, 422, 2141, 33, 2842, 2245, 341, 3421, 1621, 143, 1119, 1617, 1030, 3594, 2085, 40, 1305, 409, 2205, 822, 1437, 32, 3422, 2478, 2271, 1323, 1434, 1435, 1627, 1311, 1435, 1534, 3963, 1722, 3422, 1631, 1571, 1387, 1435, 1307, 1435, 1439, 1690, 3599, 1614, 766, 1594, 1662, 1598, 1435, 1435, 1371, 1654, 3998, 1694, 1794, 1438, 1630, 667, 1435, 1371, 1310, 1435, 1398, 3999, 1590, 1342, 3322, 1709, 785, 3102, 3645, 3548, 1083, 1933, 1061, 13, 3464, 398, 1565, 1055, 2101, 2065, 2070, 3367, 543, 10, 785, 54, 3189, 1541, 568, 780, 444, 665, 3649, 3529, 816, 2678, 2699, 1369, 1692, 1304, 605, 409, 3932, 2649, 3189, 2615, 817, 2629, 1626, 2653, 794, 2439, 3006, 1555, 1912, 1369, 550, 401, 139, 402, 1077, 3905, 8, 378, 2257, 3151, 136, 965, 3658, 3125, 1378, 1194, 928, 3419, 255, 2130, 3403, 1534, 399, 211, 391, 2630, 904, 146, 1363, 917, 816, 2870, 2399, 2428, 2404, 1955, 1487, 168, 803, 3525, 101, 697, 2436, 1923, 3546, 1898, 211, 1605, 3283, 1371, 3999, 3286, 2503, 2942, 2708, 1514, 3896, 3429, 1038, 671, 513, 72, 723, 647, 235, 1687, 2307, 872, 388, 902, 890, 2142, 3690, 1273, 441, 236, 926, 3371, 776, 824, 172, 3469, 3291, 758, 3557, 2107, 1083, 631, 1442, 1702, 3862, 2195, 1979, 2376, 419, 2438, 1419, 1941, 3177, 2081, 168, 40, 3270, 340, 1753, 392, 3802, 3430, 3859, 2455, 570, 1157, 373, 855, 2497, 3131, 1258, 915, 327, 1786, 1702, 2074, 145, 1411, 280, 3146, 3489, 1142, 2387, 235, 4037, 493, 1673, 2587, 1607, 2662, 4025, 1914, 2283, 1403, 203, 392, 2255, 83, 1526, 102, 3915, 2220, 517, 581, 2265, 3894, 3601, 3133, 13, 141, 3847, 3413, 1908, 523, 67, 1243, 77, 3130, 2581, 1351, 530, 1258, 2845, 327, 27, 279, 1421, 1126, 399, 21, 55, 2071, 88, 1601, 693, 3151, 1501, 3113, 154, 921, 1132, 3793, 2529, 3217, 2696, 2441, 3903, 222, 1821, 2695, 2614, 466, 1593, 161, 2409, 557, 2897, 927, 269, 3612, 1505, 485, 1546, 1442, 453, 1297, 603, 337, 133, 552, 913, 2293, 1156, 1862, 3204, 87, 45, 3422, 2657, 1062, 1701, 3676, 104, 2600, 2580, 1383, 2423, 88, 2397, 14, 1981, 3242, 1948, 3307, 2669, 3594, 1261, 2282, 2872, 2408, 470, 1893, 606, 2056, 2393, 3669, 2590, 3917, 2569, 13, 1144, 43, 142 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30, 90, 802, 1653, 653, 2422, 3125, 3589, 25, 2651, 3564, 876, 3298, 2830, 2391, 518, 2685, 5, 69, 21, 1676, 78, 1361, 3737, 969, 901, 3282, 517, 3105, 821, 2447, 1744, 1343, 410, 2653, 1625, 601, 212, 3591, 2751, 3707, 1750, 910, 207, 411, 517, 2457, 932, 673, 821, 85, 3207, 597, 2449, 569, 201, 2939, 2875, 553, 325, 2309, 3442, 1400, 325, 152, 2869, 573, 1446, 263, 2630, 2638, 1361, 1574, 197, 1172, 785, 7, 824, 263, 1158, 938, 14, 2527, 3286, 3286, 1733, 2471, 107, 2277, 3108, 18, 3085, 2785, 824, 204, 822, 325, 1196, 210, 1053, 232, 2546, 3281, 3317, 3126, 3127, 3895, 3877, 1578, 1018, 1297, 3554, 1878, 914, 1041, 2879, 3310, 1621, 191, 3798, 1864, 4054, 1430, 155, 2130, 1282, 1346, 1352, 326, 4078, 3233, 502, 345, 420, 2746, 1094, 326, 740, 3802, 1122, 1642, 2734, 1048, 1371, 1370, 111, 1402, 1644, 2006, 1549, 92, 1649, 342, 830, 2835, 1416, 3380, 1381, 347, 1756, 347, 2041, 3155, 3419, 2126, 1642, 2090, 1115, 313, 1259, 1818, 1941, 155, 417, 1338, 2788, 428, 11, 714, 1522, 3450, 1282, 1102, 2520, 1506, 3160, 1884, 200, 2563, 1250, 1740, 1360, 1737, 661, 1379, 968, 1301, 2025, 3528, 454, 2844, 133, 236, 2539, 3336, 999, 1288, 2453, 4072, 2452, 162, 2513, 2580, 208, 3284, 456, 2528, 200, 888, 1406, 1499, 1406, 1114, 3426, 2423, 1255, 504, 1497, 476, 1914, 3994, 905, 596, 923, 1634, 3676, 2411, 3738, 587, 634, 1912, 779, 70, 3966, 2429, 3614, 3407, 1061, 1370, 2570, 1554, 1930, 3452, 1102, 1514, 996, 1530, 1500, 374, 1120, 984, 367, 1369, 1417, 1802, 3482, 3162, 572, 3496, 2593, 857, 3086, 475, 2696, 2324, 923, 972, 3335, 1267, 2216, 919, 2566, 1736, 433, 1756, 2203, 2220, 2520, 785, 212, 1916, 1832, 1371, 1374, 2519, 246, 2213, 241, 2466, 1341, 1500, 1390, 1322, 3566, 2376, 2381, 6, 3403, 377, 3887, 354, 1062, 2975, 53, 3717, 2561, 2672, 209, 1917, 3125, 3681, 1086, 2824, 3831, 1541, 3974, 3605, 614, 4053, 3581, 633, 1613, 1185, 1130, 2338, 234, 3142, 1079, 338, 2532, 1468, 840, 1849, 538, 2209, 418, 2008, 1142, 645, 1560, 223, 9, 3297, 1658, 3962, 1881, 1316, 149, 2188, 2202, 2150, 2314, 3640, 3301, 3269, 3122, 3276, 3701, 3702, 3911, 649, 3090, 1799, 2576, 733, 1544, 63, 654, 3112, 1098, 2347, 3162, 3413, 2521, 230, 1736, 1849, 3238, 3333, 1687, 934, 2022, 806, 852, 1355, 1436, 1909, 1544, 59, 3594, 1115, 2873, 3097, 896, 3508, 1371, 1605, 1410, 1549, 1788, 3339, 1242, 3174, 1060, 163, 3418, 2010, 3168, 343, 1922, 1481, 205, 1701, 593, 165, 858, 3168, 3992, 770, 1338, 2002, 2561, 37, 2193, 3306, 2321, 2651, 1440, 3618, 1947, 2194, 4044, 504, 1361, 1158, 354, 1305, 304, 134, 2053, 1225, 2322, 1370, 3419, 2067, 1543, 2316, 1157, 1426, 62, 1463, 651, 1582, 22, 2433, 2649, 1532, 2702, 1638, 3103, 235, 2065, 821, 3656, 1037, 2371, 2114, 45, 790, 490, 1461, 3853, 902, 3080, 2328, 607, 481, 1286, 3629, 3639, 799, 2078, 3384, 2069, 454, 508, 283, 91, 254, 1739, 137, 537, 1499, 2333, 1402, 1543, 2053, 3301, 1613, 254, 1529, 1601 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3452, 8, 2445, 1797, 407, 2091, 214, 2454, 1374, 1441, 1797, 1193, 289, 103, 2415, 213, 44, 1554, 804, 947, 1545, 90, 412, 525, 2213, 2118, 3609, 2597, 3419, 666, 1429, 1114, 669, 58, 408, 2328, 2603, 1874, 1845, 1590, 2664, 3422, 1673, 2124, 2745, 2268, 2311, 1558, 2552, 273, 2677, 267, 568, 40, 2490, 2286, 2126, 3591, 853, 1477, 2613, 580, 2072, 1526, 2460, 222, 3228, 2691, 1111, 273, 1637, 1992, 3477, 3422, 3720, 3673, 424, 633, 523, 2139, 2501, 572, 3704, 3451, 2476, 39, 1516, 2149, 1257, 3222, 2576, 3170, 2113, 2590, 1389, 2098, 100, 1070, 536, 538, 200, 2588, 71, 824, 1928, 2055, 1159, 1285, 1320, 262, 3630, 1909, 2457, 799, 4092, 2197, 3423, 2364, 1069, 2685, 2764, 170, 2188, 3197, 3857, 921, 418, 26, 3128, 2397, 221, 3210, 1313, 200, 1366, 2330, 261, 34, 7, 290, 3189, 382, 18, 2567, 1114, 1370, 1233, 532, 1187, 2825, 2402, 347, 1620, 1992, 2762, 3429, 3219, 3493, 3629, 2084, 3131, 2411, 411, 863, 837, 2498, 1130, 2414, 2596, 1695, 1489, 683, 854, 3201, 980, 3895, 3857, 43, 3108, 969, 2228, 398, 1939, 590, 2459, 858, 1827, 600, 346, 1410, 410, 1169, 1042, 415, 835, 199, 1540, 1380, 1404, 1386, 2403, 2285, 3535, 2280, 3738, 2274, 1424, 920, 326, 2341, 397, 799, 119, 10, 986, 604, 596, 1336, 2064, 11, 1030, 357, 1316, 1805, 3165, 74, 99, 296, 794, 338, 291, 146, 201, 265, 22, 2506, 795, 137, 581, 488, 3594, 105, 2646, 2154, 2299, 3752, 42, 1090, 2540, 77, 1384, 2257, 906, 3576, 1645, 121, 2249, 907, 2107, 3542, 2600, 1039, 716, 3107, 1326, 197, 3337, 1853, 274, 37, 675, 3, 2, 81, 3726, 2503, 581, 261, 3136, 1250, 343, 2558, 2653, 2779, 1803, 502, 1414, 3165, 3709, 814, 1883, 537, 673, 2360, 1037, 101, 779, 296, 1499, 460, 107, 1333, 1478, 2853, 3283, 13, 34, 1096, 3931, 2104, 3721, 1100, 1492, 166, 1101, 841, 3357, 3482, 6, 202, 2109, 3488, 40, 2060, 8, 1093, 565, 2458, 2943, 1077, 230, 1818, 1765, 2076, 124, 474, 1474, 2447, 1505, 3278, 2621, 928, 1239, 2457, 3598, 1553, 3289, 3102, 2397, 2301, 581, 2222, 3166, 3921, 583, 3725, 3718, 3125, 1135, 1893, 39, 235, 394, 379, 3090, 3254, 376, 2321, 1061, 1949, 775, 1560, 3125, 3157, 560, 1861, 2469, 2405, 1163, 1388, 2533, 3614, 3365, 3612, 2109, 640, 2422, 2304, 558, 575, 11, 34, 380, 2142, 1562, 1582, 2058, 2567, 88, 2119, 2616, 2443, 136, 454, 2620, 44, 1326, 3610, 3991, 2493, 1380, 222, 2415, 3130, 3741, 30, 13, 29, 840, 560, 167, 213, 107, 1093, 1544, 1236, 210, 1165, 2648, 3699, 3890, 2001, 3878, 882, 67, 3320, 1847, 1813, 2426, 1879, 2894, 1138, 2928, 2597, 2120, 3184, 2816, 2336, 914, 1457, 1343, 4023, 1802, 1543, 1700, 2100, 808, 1535, 3925, 3336, 1076, 2779, 1161, 2757, 2503, 950, 1592, 2311, 3040, 542, 1662, 1709, 2309, 2511, 4037, 977, 2837, 2485, 105, 1632, 1150, 2575, 180, 3524, 1542, 1826, 1799, 4061, 21, 1406, 217, 1490, 1333, 1034, 3606, 46, 2434, 325, 414, 2193, 1235, 3527, 1098, 3169, 1030, 170, 1866, 1537, 5, 170, 2330, 2379 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2074, 2073, 458, 1489, 2133, 214, 1821, 337, 1317, 416, 645, 2006, 3413, 1160, 793, 2838, 2054, 1558, 3932, 1223, 291, 869, 3149, 1122, 1077, 358, 377, 789, 2186, 1270, 90, 289, 1381, 2138, 91, 1874, 730, 458, 1349, 324, 219, 201, 3158, 1110, 5, 117, 2132, 3676, 3110, 839, 1350, 2090, 1223, 3341, 3669, 1178, 3622, 534, 460, 2429, 36, 1232, 51, 221, 3446, 2140, 2271, 385, 1482, 3142, 1569, 3881, 16, 1109, 347, 1081, 1286, 1365, 354, 1861, 2378, 3607, 73, 69, 1609, 341, 2106, 1094, 520, 341, 3335, 1801, 2486, 2973, 1398, 1172, 1410, 118, 2320, 1833, 3169, 2133, 917, 346, 5, 538, 3398, 3223, 534, 17, 777, 17, 805, 2341, 62, 1909, 2598, 373, 3495, 3270, 2954, 1797, 1799, 390, 2266, 3196, 609, 2298, 522, 341, 548, 1100, 1559, 597, 3450, 3212, 1454, 1291, 1817, 118, 718, 710, 70, 3414, 1552, 538, 4056, 64, 333, 1618, 1301, 2330, 1291, 1042, 85, 1369, 333, 1437, 1305, 1051, 1381, 551, 386, 265, 265, 380, 1370, 1369, 1105, 14, 2533, 70, 69, 3858, 1157, 2189, 1530, 1045, 1052, 1882, 1386, 4060, 1562, 3207, 1154, 1890, 1066, 1370, 1813, 716, 645, 3093, 3079, 2138, 2319, 1463, 3002, 1059, 3554, 2402, 1304, 1116, 1034, 3333, 477, 1093, 228, 3119, 281, 5, 1224, 165, 3784, 108, 908, 1350, 1585, 3002, 33, 3514, 1184, 1359, 70, 1368, 1387, 308, 1833, 273, 1297, 2358, 1041, 282, 3535, 1894, 1370, 806, 2338, 3244, 2090, 1097, 3462, 390, 3866, 953, 3958, 2089, 1116, 908, 1098, 87, 3097, 1149, 1422, 30, 264, 1111, 1318, 3468, 542, 3350, 278, 1323, 2134, 2071, 3420, 129, 2611, 3170, 2365, 1390, 1842, 2084, 1634, 386, 1248, 1631, 407, 3140, 553, 402, 334, 1806, 2421, 3426, 1442, 1882, 3621, 5, 3130, 1883, 1890, 1225, 3210, 3089, 121, 1370, 1401, 457, 87, 1097, 1994, 1818, 261, 1880, 2005, 1378, 1447, 43, 221, 1993, 3660, 1372, 1586, 1734, 610, 1418, 1868, 2172, 76, 3333, 1581, 121, 2020, 454, 3754, 3517, 1669, 198, 429, 1754, 538, 409, 1370, 2395, 263, 1114, 3531, 1349, 397, 1030, 1312, 524, 3141, 834, 3621, 3269, 535, 3458, 1033, 40, 1046, 3174, 3297, 2071, 1285, 2518, 1734, 298, 352, 1381, 3962, 1029, 538, 35, 11, 1387, 90, 292, 1589, 1757, 3703, 1230, 73, 5, 475, 58, 2841, 3273, 532, 360, 94, 2058, 545, 1882, 350, 393, 57, 9, 1554, 3419, 1477, 2332, 1322, 3116, 1105, 9, 75, 1397, 25, 3084, 913, 2054, 2389, 1065, 2309, 5, 389, 773, 806, 3738, 2234, 1148, 2851, 207, 2183, 1562, 417, 2571, 3078, 1498, 2667, 1305, 1450, 2408, 980, 2314, 1110, 1109, 1292, 1370, 8, 1358, 1306, 281, 1368, 1317, 2885, 853, 2390, 1189, 3208, 1037, 91, 1310, 2380, 3459, 1302, 1811, 1365, 738, 1801, 97, 405, 3126, 2062, 133, 138, 274, 1800, 453, 1573, 1105, 1097, 213, 1313, 1685, 204, 3333, 3418, 1719, 412, 793, 3334, 348, 3409, 431, 103, 69, 5, 857, 1112, 143, 37, 86, 263, 2438, 1354, 1482, 1611, 1721, 165, 19, 2189, 175, 1607, 2409, 3143, 1387, 3404, 2330, 1365, 271, 1133, 6, 1890, 1762, 1306, 1109, 1442, 1402, 1381, 2330 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 112, 409, 1917, 1033, 1723, 3898, 89, 3289, 197, 1226, 956, 1854, 2155, 1621, 414, 2795, 1033, 860, 1525, 1311, 1728, 1372, 1286, 2843, 3440, 2862, 1133, 1374, 1566, 2398, 2453, 2417, 1375, 1371, 1779, 3269, 350, 3866, 1900, 2827, 710, 365, 3802, 2418, 2749, 1536, 1270, 1378, 2938, 1732, 369, 781, 3413, 828, 200, 881, 3324, 1396, 874, 3857, 531, 3275, 3546, 1372, 2129, 419, 3322, 1736, 1387, 1921, 3418, 3457, 1848, 480, 304, 248, 2616, 2300, 456, 465, 3201, 1785, 2434, 200, 714, 2376, 887, 2138, 2626, 1896, 72, 2892, 622, 2251, 3139, 3694, 87, 2920, 3486, 2477, 1439, 3162, 3162, 604, 1378, 3082, 1834, 1554, 3308, 108, 1548, 548, 3104, 3175, 775, 3103, 1148, 1272, 1349, 1302, 1427, 1222, 2362, 1356, 1175, 626, 1611, 1617, 609, 1628, 1866, 2565, 1937, 1454, 1093, 2673, 3369, 331, 1121, 932, 1377, 3150, 2292, 2374, 3547, 1562, 1878, 2539, 1370, 1922, 2402, 1172, 2506, 2199, 3543, 516, 2021, 1445, 2540, 2049, 1205, 731, 1335, 540, 3307, 532, 761, 136, 1032, 1434, 3865, 3485, 4052, 180, 1114, 2202, 2421, 2411, 1957, 1149, 110, 998, 3565, 1354, 3966, 1673, 1434, 2426, 156, 2586, 589, 2140, 1602, 841, 2117, 3072, 666, 1886, 737, 1921, 3087, 1383, 2078, 1849, 2242, 517, 3740, 1429, 1146, 3446, 1677, 2524, 1495, 338, 1500, 3661, 1925, 3368, 1321, 520, 1035, 775, 1482, 434, 3855, 1382, 1505, 2645, 3670, 3436, 404, 3101, 580, 1092, 1235, 36, 231, 3157, 200, 283, 1572, 1010, 2882, 166, 1275, 2389, 459, 1066, 1884, 2150, 1370, 1522, 2044, 1116, 650, 1962, 3638, 513, 273, 1180, 1584, 455, 1960, 507, 804, 1999, 900, 936, 1637, 2506, 2401, 807, 1180, 984, 3596, 38, 2124, 1167, 2389, 2038, 1448, 3430, 394, 3418, 3670, 539, 1665, 1620, 1360, 199, 1928, 2504, 3663, 1504, 332, 188, 1449, 1076, 453, 871, 2056, 40, 348, 418, 2005, 3497, 1958, 1696, 1248, 527, 1478, 3178, 414, 1958, 1529, 1406, 4051, 269, 1302, 1910, 1046, 3438, 3462, 6, 1381, 1166, 458, 1590, 1269, 3147, 1603, 1830, 1047, 3894, 2138, 2076, 1542, 4048, 2000, 2231, 3236, 130, 3171, 174, 3945, 1381, 727, 2051, 404, 1179, 395, 1671, 2973, 611, 3125, 3618, 3272, 825, 1061, 491, 1384, 1802, 290, 1120, 3077, 62, 3100, 4041, 2646, 1121, 442, 1178, 1119, 602, 3897, 1542, 2341, 3370, 1116, 1560, 774, 3085, 2336, 595, 2569, 395, 1637, 2718, 1437, 940, 1433, 1865, 1129, 4051, 2185, 1440, 6, 287, 2129, 2073, 3480, 566, 2018, 1554, 2299, 332, 3358, 327, 2525, 1370, 1450, 1942, 1484, 1478, 54, 2113, 1453, 775, 158, 1412, 779, 1349, 3714, 3078, 334, 3398, 2544, 96, 3320, 3595, 2897, 4085, 1152, 3514, 786, 1290, 827, 1336, 3354, 875, 1392, 1403, 1355, 1817, 1380, 2015, 1955, 1429, 1306, 386, 1420, 361, 4068, 1873, 965, 253, 865, 1042, 2161, 2060, 1931, 2173, 3915, 1914, 218, 1310, 1156, 3421, 2388, 3333, 1897, 986, 358, 3097, 599, 779, 1208, 997, 1509, 2635, 3641, 3354, 1979, 176, 453, 785, 3284, 2279, 1638, 1372, 1490, 612, 54, 334, 1689, 1150, 1512, 1099, 1418, 3028, 3562, 1439, 108, 3443, 1535, 477, 3420, 2506, 3875, 3305, 4008, 926 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 317, 1435, 3650, 630, 346, 3746, 172, 3363, 1442, 1514, 3334, 2558, 3358, 2266, 1673, 3901, 3445, 3109, 2401, 3326, 1390, 282, 216, 2480, 3646, 3177, 1357, 2332, 1254, 459, 1425, 1899, 470, 3430, 1899, 1432, 3454, 2296, 799, 1156, 1966, 1993, 1939, 1141, 3739, 1398, 54, 1937, 407, 2868, 3823, 1585, 3192, 1906, 1955, 3672, 228, 3986, 1668, 221, 162, 1605, 3297, 1576, 1700, 2525, 90, 30, 657, 3330, 3860, 927, 3098, 1281, 3935, 970, 1698, 3364, 1891, 31, 150, 804, 1120, 418, 2145, 258, 2040, 1448, 996, 1791, 858, 1533, 2070, 3281, 783, 1878, 278, 2100, 3087, 354, 1616, 786, 1800, 3721, 1077, 2174, 777, 1218, 70, 2338, 1349, 534, 1413, 1174, 1334, 3593, 2652, 886, 1198, 2266, 2459, 158, 1153, 1531, 1800, 2381, 1033, 2665, 1876, 3100, 440, 312, 1480, 3876, 1003, 3477, 212, 283, 1848, 233, 950, 464, 3569, 1060, 1563, 453, 2568, 503, 794, 1486, 1156, 12, 1228, 2506, 2523, 39, 2720, 986, 518, 3416, 1004, 506, 1449, 1298, 487, 3543, 2325, 2508, 3336, 2733, 62, 2254, 1485, 2145, 2153, 284, 2412, 2413, 205, 2538, 1502, 1546, 3732, 1362, 1450, 2402, 2694, 2538, 3542, 1462, 282, 3910, 2666, 234, 418, 1038, 1171, 349, 1371, 288, 538, 566, 4088, 984, 135, 2212, 162, 2147, 2526, 885, 3696, 2133, 1316, 3279, 1125, 3934, 1313, 2910, 3245, 1798, 1921, 1809, 1451, 228, 2017, 775, 1992, 1045, 1953, 904, 672, 1051, 976, 199, 1857, 3853, 992, 1930, 1990, 3873, 2158, 1406, 3573, 103, 1274, 369, 1060, 865, 400, 1859, 3409, 1954, 3169, 1228, 1443, 381, 22, 1761, 930, 1661, 3368, 3138, 1381, 2573, 546, 1855, 722, 248, 1955, 2421, 740, 2977, 298, 3896, 298, 2794, 3171, 2403, 937, 1620, 229, 922, 1828, 362, 1921, 977, 405, 3959, 3429, 3100, 3453, 1592, 3745, 3965, 902, 3132, 3302, 254, 207, 2048, 346, 1190, 1698, 3293, 123, 1561, 1684, 2436, 44, 1094, 2410, 1114, 3810, 1159, 1397, 1098, 2169, 3905, 384, 3981, 545, 397, 564, 803, 870, 3899, 98, 2097, 728, 2011, 1898, 3301, 987, 1102, 1030, 3370, 1391, 2029, 199, 1416, 1754, 3590, 1076, 1935, 1586, 293, 3924, 2405, 3846, 3530, 2428, 2010, 2678, 164, 1070, 1030, 3174, 597, 2593, 2119, 3430, 1940, 1737, 3147, 2530, 317, 2021, 2477, 2074, 2304, 2309, 35, 1774, 344, 3629, 153, 968, 252, 4090, 2088, 53, 1252, 1064, 609, 3272, 244, 1498, 541, 501, 2470, 1506, 1848, 97, 3335, 2524, 307, 1299, 476, 3093, 2812, 2276, 1146, 1547, 3, 2, 433, 2822, 3083, 571, 757, 3158, 2462, 2104, 205, 364, 2872, 902, 2065, 1355, 1910, 3086, 335, 774, 3398, 2405, 2063, 1400, 369, 3848, 2486, 143, 779, 823, 1742, 3022, 1802, 969, 3654, 3496, 2411, 1253, 3013, 359, 1718, 3847, 2251, 3659, 581, 671, 159, 269, 1381, 1450, 3210, 2406, 2437, 420, 3081, 3826, 1521, 3211, 1201, 1461, 421, 705, 721, 172, 3272, 113, 376, 428, 885, 401, 3118, 3168, 2405, 3456, 3104, 248, 464, 376, 1044, 147, 1739, 3959, 3253, 849, 3783, 3786, 3958, 1848, 3109, 3937, 1208, 1799, 795, 2293, 1737, 443, 1419, 3155, 1405, 3157, 1453, 539, 1428, 1035, 2177, 1828, 353, 1809, 1342 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2059, 41, 525, 141, 3362, 149, 2326, 395, 2405, 1395, 2024, 2558, 1351, 2379, 2074, 1030, 1461, 644, 2426, 3582, 1366, 1689, 511, 2069, 2326, 1498, 1445, 2249, 1539, 2320, 630, 1562, 2054, 1413, 644, 2425, 1487, 2069, 3145, 67, 1561, 1436, 1091, 2661, 1083, 1244, 1307, 162, 570, 3534, 872, 1837, 2428, 1785, 325, 3425, 833, 2253, 1233, 3431, 454, 126, 2062, 1409, 2652, 1758, 3354, 1365, 69, 198, 10, 2433, 1934, 2329, 166, 3228, 1754, 1885, 2310, 2790, 3100, 92, 4050, 3245, 437, 1562, 3865, 2531, 2486, 3591, 158, 440, 793, 2182, 2587, 1547, 2122, 2399, 278, 2191, 345, 1291, 1817, 9, 266, 1626, 717, 802, 346, 1371, 1525, 325, 809, 153, 1801, 1812, 138, 7, 650, 1145, 385, 1495, 1398, 1946, 471, 1386, 1866, 2422, 1374, 89, 264, 280, 1095, 1104, 1288, 8, 3109, 3994, 85, 1225, 11, 1880, 2391, 3349, 250, 1051, 1116, 1550, 850, 403, 395, 1607, 388, 473, 98, 1862, 3921, 3269, 389, 345, 202, 3989, 2037, 3086, 3420, 2318, 550, 2670, 2663, 1643, 2183, 1680, 1622, 2215, 3492, 3160, 3627, 1406, 3673, 1343, 1372, 1679, 1373, 1068, 2598, 3127, 2061, 2629, 666, 3498, 2462, 2466, 1453, 621, 572, 1642, 3479, 415, 1681, 2065, 1054, 2365, 1371, 651, 1673, 53, 1334, 781, 2835, 923, 3371, 1355, 1643, 1643, 1626, 1898, 1438, 3606, 1500, 301, 3207, 10, 22, 3550, 2656, 1562, 3663, 2140, 3934, 1636, 1386, 2410, 2471, 1943, 1035, 529, 411, 2914, 2354, 1444, 1947, 2737, 111, 2139, 1603, 1439, 710, 4051, 1547, 2708, 1177, 1338, 1710, 1445, 347, 1676, 1519, 2321, 517, 285, 282, 3958, 2043, 1321, 3434, 3082, 3509, 482, 1515, 298, 1557, 966, 1802, 1244, 97, 1186, 1453, 325, 629, 154, 2761, 328, 2057, 97, 345, 1706, 341, 341, 2403, 1601, 2671, 378, 60, 3562, 2984, 3228, 136, 202, 2314, 3690, 315, 1565, 1644, 2466, 3469, 3468, 1450, 3542, 2460, 2340, 983, 966, 456, 147, 1423, 3915, 51, 31, 3914, 2075, 1131, 1353, 1372, 1050, 2660, 1378, 1155, 1306, 2019, 1410, 1132, 202, 3041, 828, 1069, 2823, 2860, 1165, 796, 364, 1857, 245, 2591, 2530, 454, 390, 1956, 108, 2085, 530, 1340, 313, 482, 1855, 3324, 3516, 3199, 1357, 3306, 3488, 453, 110, 2269, 2529, 775, 1484, 3836, 4049, 2253, 1477, 146, 1492, 1399, 2709, 3190, 1101, 3104, 2214, 2442, 2837, 649, 628, 1370, 3675, 1634, 1818, 1606, 3639, 1810, 796, 3459, 1078, 2301, 1589, 2130, 1450, 388, 3420, 2889, 1789, 184, 1494, 1913, 1850, 3197, 3108, 410, 3896, 1594, 548, 1092, 3148, 422, 3426, 1675, 1378, 2156, 348, 348, 1507, 1377, 491, 1092, 2642, 2114, 1602, 1294, 2024, 2452, 456, 320, 3446, 320, 981, 877, 1418, 3142, 603, 38, 1337, 3437, 1910, 2469, 3110, 282, 3363, 1317, 842, 2394, 1557, 833, 1336, 1130, 2232, 2147, 2158, 2681, 3431, 822, 1477, 1566, 907, 2412, 3231, 3163, 125, 249, 56, 12, 277, 1873, 27, 1433, 3225, 1494, 1645, 1158, 466, 2376, 3180, 1517, 2140, 2411, 1361, 1136, 348, 3932, 2612, 1377, 2611, 777, 15, 1815, 532, 2412, 971, 1436, 505, 978, 1054, 1371, 4090, 2846, 1830, 291, 2064, 803, 1542, 1463, 2142, 3339, 410 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2305, 217, 2253, 780, 478, 614, 1528, 1823, 1952, 155, 1696, 3857, 104, 2001, 178, 2412, 168, 109, 1753, 2436, 1161, 261, 2397, 2870, 899, 1466, 1256, 3083, 2465, 2428, 410, 3446, 2152, 3641, 2632, 2514, 3153, 3654, 2349, 137, 1526, 2685, 389, 3855, 502, 1480, 2153, 1128, 3333, 234, 2085, 107, 552, 345, 2821, 550, 1261, 73, 3137, 17, 1451, 1397, 2402, 3401, 1374, 1527, 984, 2548, 2036, 1890, 3543, 948, 933, 3405, 3239, 1301, 2764, 1635, 615, 1567, 2459, 1192, 1223, 1788, 3174, 1985, 1366, 5, 538, 2730, 1626, 1370, 1634, 145, 1548, 2905, 1802, 1899, 1314, 2011, 1460, 778, 1122, 1868, 1350, 2211, 1157, 27, 3858, 1406, 1036, 3120, 823, 217, 3384, 1410, 1237, 217, 250, 1032, 2389, 2121, 69, 1029, 2913, 2394, 269, 3290, 3450, 3588, 33, 326, 1057, 665, 1722, 1504, 459, 3141, 347, 91, 1738, 2693, 3089, 1132, 3850, 805, 3897, 3337, 1800, 504, 3176, 3088, 244, 271, 5, 2781, 800, 395, 402, 2437, 3146, 2670, 2487, 2654, 1610, 2718, 505, 74, 2141, 2469, 2582, 1642, 2398, 2965, 2053, 97, 1566, 4058, 3085, 3271, 107, 1978, 1430, 1496, 458, 2410, 2529, 1411, 1099, 514, 1048, 1045, 286, 2090, 1947, 1893, 1497, 3087, 131, 3601, 1565, 1058, 4038, 3640, 365, 821, 3233, 2405, 3425, 785, 805, 1958, 1435, 2411, 1062, 1542, 1823, 1064, 2184, 230, 1422, 821, 3134, 1951, 1039, 801, 781, 2215, 2215, 2063, 2123, 1044, 1418, 2138, 1435, 670, 1406, 86, 3193, 156, 1473, 165, 2257, 1509, 1372, 3352, 201, 3098, 2013, 1378, 1653, 354, 3437, 3190, 3102, 206, 977, 3997, 3653, 1788, 1319, 3084, 1918, 1672, 2916, 814, 2682, 1141, 1955, 122, 3201, 2659, 2140, 796, 1081, 139, 1429, 2685, 2430, 1354, 1377, 3517, 410, 1405, 1550, 2010, 1410, 1590, 1318, 520, 1316, 1489, 1336, 362, 2305, 44, 1380, 890, 1540, 429, 3261, 17, 236, 2540, 908, 2280, 248, 2970, 3915, 1491, 481, 805, 947, 402, 29, 1562, 881, 1141, 3390, 3896, 1362, 63, 406, 856, 1429, 2884, 234, 3117, 1110, 662, 2393, 358, 1107, 1612, 3938, 146, 1398, 2518, 2247, 1374, 1413, 2402, 3722, 282, 2474, 840, 3310, 1310, 1310, 1314, 1316, 81, 830, 2107, 421, 3409, 3091, 1409, 3226, 3492, 1335, 1812, 1013, 1426, 1596, 794, 3085, 2506, 1387, 355, 149, 3164, 906, 2394, 1370, 3930, 3453, 1438, 2432, 3021, 3278, 785, 153, 2440, 94, 213, 1493, 3178, 334, 2425, 8, 3077, 529, 286, 2053, 1093, 17, 787, 2187, 2211, 1061, 197, 2074, 1626, 1939, 363, 1049, 1992, 2009, 1354, 2071, 1634, 4090, 2309, 2311, 1845, 554, 3422, 3083, 580, 1106, 3454, 3864, 2661, 1897, 3502, 1662, 1577, 2506, 2610, 3242, 1556, 1911, 3439, 1295, 1798, 1317, 3208, 34, 1493, 3750, 1388, 967, 2316, 3364, 70, 2265, 2424, 2915, 2429, 605, 3698, 2460, 3681, 1598, 414, 3091, 1644, 1084, 2460, 1564, 137, 1656, 3425, 3715, 1926, 2785, 889, 2915, 3682, 3750, 1918, 1643, 1647, 1392, 1246, 1434, 3260, 64, 3489, 568, 3109, 985, 3845, 970, 297, 2530, 1634, 1638, 2262, 2030, 3272, 2063, 1499, 1548, 537, 1702, 3690, 2603, 885, 1132, 460, 156, 969, 1670, 4044, 1224, 585, 2328, 936, 270, 2687 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2159, 2221, 302, 2506, 2429, 27, 2266, 3798, 701, 389, 3389, 412, 3105, 37, 2088, 1896, 1097, 2504, 2410, 469, 3287, 1803, 1351, 1325, 3704, 2593, 20, 2257, 1551, 787, 2295, 3429, 2124, 659, 1472, 668, 1317, 789, 3818, 3997, 2839, 1066, 3394, 40, 2540, 1342, 2176, 3163, 2209, 1227, 1583, 2062, 1518, 3629, 821, 161, 797, 550, 554, 625, 3714, 2117, 840, 309, 2462, 1169, 3125, 3474, 3691, 1939, 2613, 3079, 1170, 2167, 1944, 3346, 3720, 135, 3778, 3973, 1131, 1400, 1389, 1803, 968, 2001, 1002, 1182, 3498, 1814, 2918, 3154, 651, 360, 3155, 182, 2103, 2165, 2017, 3131, 42, 2582, 3299, 200, 2117, 1702, 2198, 758, 1910, 1799, 1929, 3170, 3386, 2406, 1644, 3126, 3998, 3698, 1271, 910, 150, 3214, 239, 2027, 3928, 1158, 3473, 1934, 1635, 1931, 883, 403, 147, 1119, 123, 926, 2424, 932, 3979, 3431, 1675, 658, 2175, 518, 490, 2155, 1480, 2666, 2182, 2441, 2428, 1429, 1591, 801, 145, 3397, 1356, 3292, 167, 1505, 984, 202, 1820, 1369, 2628, 208, 2816, 45, 1663, 1438, 466, 1565, 577, 1001, 3657, 3165, 1689, 1634, 2578, 829, 3126, 3863, 474, 3567, 429, 937, 2861, 3423, 1325, 509, 868, 1581, 3531, 412, 537, 557, 797, 1021, 2988, 379, 1661, 2525, 1898, 3908, 1544, 834, 145, 2577, 163, 2178, 1645, 4076, 1436, 1627, 1592, 571, 1798, 1541, 84, 8, 906, 3141, 821, 775, 518, 3103, 2066, 1412, 643, 581, 1110, 674, 2541, 573, 821, 2834, 2668, 1597, 156, 1548, 477, 1854, 2460, 2429, 1695, 2836, 1320, 925, 459, 1077, 1320, 777, 402, 4037, 3098, 3079, 1633, 3272, 245, 454, 1401, 1322, 3692, 3827, 2403, 1831, 3967, 859, 2136, 2161, 1864, 1816, 2275, 3670, 2600, 3925, 245, 774, 3114, 2273, 1962, 2460, 2411, 2038, 2469, 3611, 2341, 1928, 2149, 1254, 2434, 1381, 2456, 1003, 1516, 2141, 2101, 3702, 2658, 2578, 2401, 2053, 2661, 2595, 1634, 2088, 1086, 1889, 3541, 3291, 2270, 1895, 1933, 38, 2587, 2285, 1386, 2076, 2525, 1438, 1505, 1259, 2426, 4049, 3266, 3275, 2852, 2596, 1832, 517, 2276, 3608, 2080, 3867, 2469, 1845, 3629, 3138, 1905, 1458, 2454, 747, 3422, 3096, 3149, 1573, 2846, 2849, 3607, 2328, 2852, 145, 1937, 855, 2072, 2269, 42, 1665, 131, 2410, 3932, 1942, 2085, 3192, 2282, 1969, 776, 1909, 2228, 1265, 1829, 2282, 2366, 2474, 3427, 996, 940, 837, 2410, 4016, 3966, 2009, 2553, 206, 2216, 1848, 2250, 3173, 1633, 3318, 2214, 2577, 3255, 2156, 2549, 2082, 2221, 609, 1953, 1058, 2472, 3629, 280, 2542, 2430, 2975, 611, 2155, 1589, 2650, 2073, 1305, 3468, 102, 2598, 3427, 1495, 373, 1052, 1031, 1322, 2010, 2044, 2359, 3053, 1544, 3048, 2278, 1460, 2914, 1386, 2081, 921, 2008, 865, 1813, 3125, 2773, 1201, 2822, 2431, 112, 3583, 1454, 3640, 1101, 124, 776, 502, 2805, 53, 824, 3130, 856, 1358, 2672, 1535, 256, 319, 265, 3648, 927, 463, 2168, 836, 1447, 263, 2632, 155, 15, 1498, 1698, 4044, 357, 386, 1361, 2002, 1436, 828, 197, 2053, 3269, 3146, 1089, 1916, 2650, 1642, 2878, 1880, 3249, 798, 2883, 3290, 4010, 2931, 2005, 3498, 2716, 1163, 3902, 3541, 3118, 2673, 1785, 1374, 2682, 1413, 648, 120, 2281, 613, 213 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 212, 3849, 1292, 3272, 3150, 1208, 438, 3739, 3418, 3147, 3501, 3665, 410, 367, 2982, 2426, 1320, 40, 3970, 3546, 2402, 1386, 1383, 3, 2, 3561, 2422, 3320, 1409, 3686, 1292, 3962, 3947, 1541, 1466, 2660, 3129, 485, 3281, 697, 512, 3969, 663, 3927, 2493, 2741, 1210, 1169, 184, 2319, 712, 950, 3479, 859, 3899, 2396, 2424, 380, 962, 2897, 2574, 2302, 3398, 1629, 3460, 2024, 905, 1461, 2045, 557, 1530, 2110, 178, 2009, 3274, 2422, 2810, 333, 1986, 1328, 3133, 1916, 3432, 58, 3447, 1530, 1118, 1870, 2246, 3565, 1548, 2925, 972, 1574, 3578, 2152, 2408, 2076, 3493, 2649, 3322, 216, 1290, 85, 2120, 1621, 1031, 602, 1884, 633, 1056, 106, 977, 2427, 537, 2395, 504, 57, 197, 1880, 933, 177, 1906, 325, 3090, 1636, 218, 264, 3168, 917, 878, 1877, 2322, 862, 3861, 3429, 3682, 1641, 859, 546, 1289, 1289, 5, 584, 2920, 782, 1093, 3238, 421, 906, 1561, 3481, 262, 2201, 474, 3234, 265, 3102, 1272, 538, 2146, 2570, 598, 2177, 18, 53, 473, 3310, 16, 478, 1110, 776, 1436, 1294, 216, 1438, 266, 1287, 1499, 1608, 1383, 346, 844, 1047, 3677, 3142, 264, 585, 1669, 3611, 2113, 222, 1675, 1378, 343, 278, 2457, 2398, 2376, 965, 2410, 3932, 1322, 1947, 318, 1406, 283, 1819, 1849, 1322, 2091, 2141, 2311, 2226, 1226, 2412, 1882, 2121, 234, 1822, 1378, 1321, 1630, 1979, 1221, 1781, 529, 1883, 1346, 3677, 173, 862, 529, 66, 3410, 2393, 1579, 1882, 1834, 1298, 1397, 1884, 1612, 774, 1294, 102, 1886, 2017, 125, 3590, 2341, 2622, 545, 793, 3868, 280, 1345, 3077, 3868, 2084, 1333, 329, 40, 284, 1802, 1693, 780, 3720, 364, 234, 309, 3285, 1293, 2410, 2398, 2442, 474, 2323, 1402, 218, 1370, 1286, 3549, 298, 3406, 3651, 782, 1358, 2833, 3704, 70, 444, 2353, 1638, 2880, 364, 2844, 1131, 1797, 1643, 582, 3701, 3080, 3419, 602, 606, 107, 1226, 1579, 2248, 3541, 2074, 583, 346, 3422, 1358, 1364, 3106, 2677, 3107, 821, 3706, 1694, 1481, 1149, 765, 2042, 2678, 3438, 3114, 246, 2385, 3772, 1360, 17, 1412, 91, 382, 1566, 3334, 2168, 3458, 1305, 1478, 2342, 3945, 410, 1517, 2139, 381, 2513, 3358, 3482, 1478, 2425, 3682, 1845, 161, 378, 255, 667, 769, 613, 3165, 146, 3089, 1891, 3105, 3419, 3157, 2561, 1687, 666, 3086, 3198, 3688, 823, 1427, 1661, 3909, 290, 620, 3164, 337, 3077, 2150, 1402, 3433, 478, 3078, 1881, 3157, 3877, 3953, 3208, 961, 1310, 3109, 791, 821, 218, 2177, 1805, 1249, 1825, 450, 1627, 1848, 1528, 81, 1418, 3493, 1000, 1400, 1432, 1416, 2488, 2488, 1438, 1736, 3915, 1864, 3125, 3140, 3125, 3162, 697, 3014, 107, 1439, 807, 3086, 979, 1989, 2865, 3091, 529, 3893, 785, 3128, 54, 1953, 1553, 43, 250, 612, 77, 984, 1272, 1639, 215, 229, 1073, 859, 2182, 209, 3121, 3270, 3515, 3421, 207, 1070, 2657, 1313, 1826, 3971, 1758, 1939, 1664, 2808, 273, 216, 1049, 1092, 1386, 91, 1760, 1241, 857, 1124, 1030, 1178, 1358, 88, 90, 2908, 777, 1862, 1130, 1143, 1401, 338, 2619, 1874, 1803, 1376, 2277, 66, 1816, 1414, 3873, 604, 622, 5, 607, 10, 3162, 1371, 1057, 1082, 3098, 1374 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23, 531, 1506, 1386, 1434, 2332, 3462, 3340, 1819, 2687, 270, 1499, 354, 1339, 95, 2394, 1631, 538, 2778, 2458, 1577, 1646, 1547, 1636, 582, 371, 2908, 1377, 1085, 2650, 2090, 1509, 85, 214, 522, 1882, 357, 374, 3429, 1054, 1402, 2579, 3878, 1061, 1498, 1867, 3228, 1246, 639, 6, 18, 1870, 286, 1365, 1369, 1309, 1355, 2528, 3655, 346, 3353, 758, 1071, 69, 9, 1285, 83, 1033, 231, 518, 1029, 82, 822, 26, 1369, 1522, 83, 1141, 2636, 1313, 3125, 3781, 1317, 102, 2143, 1402, 3601, 1545, 311, 13, 1408, 1882, 1290, 1301, 317, 1095, 328, 1379, 473, 1369, 581, 2844, 282, 5, 1170, 22, 1369, 22, 378, 709, 25, 609, 314, 2389, 37, 103, 289, 1621, 1029, 2526, 334, 7, 1045, 1370, 1031, 29, 2140, 409, 281, 2055, 470, 1431, 9, 561, 1041, 790, 41, 73, 282, 1381, 3089, 1570, 346, 1093, 1063, 3337, 2869, 71, 261, 81, 1315, 1127, 277, 1336, 5, 2170, 269, 3082, 1145, 329, 2169, 2394, 3212, 1389, 517, 1174, 278, 3158, 1354, 86, 2661, 10, 3222, 1401, 73, 1377, 1114, 1302, 5, 271, 425, 2130, 277, 3356, 3141, 1609, 1144, 1368, 3789, 3077, 230, 1094, 2646, 334, 888, 1249, 2505, 2056, 346, 1104, 1285, 3413, 27, 18, 565, 186, 283, 3682, 1194, 1365, 2390, 2610, 2135, 2721, 3288, 2695, 3077, 1989, 341, 2693, 52, 9, 1336, 64, 1292, 2650, 2317, 581, 2865, 2891, 861, 427, 1641, 1305, 1450, 14, 1067, 1043, 1393, 3355, 1414, 2459, 1439, 3185, 1653, 3345, 3306, 2376, 3125, 3126, 4060, 1949, 389, 3185, 3121, 787, 855, 1756, 2065, 709, 522, 3189, 819, 2919, 1952, 1075, 1395, 2995, 1579, 921, 2966, 3998, 1029, 2228, 931, 1627, 2841, 2461, 3057, 3418, 875, 1053, 2491, 1451, 2963, 1939, 115, 1431, 1435, 1631, 2211, 1099, 1695, 1631, 1435, 2227, 1730, 1429, 1415, 2971, 1435, 2483, 1986, 1693, 3766, 1697, 1182, 1695, 1695, 1695, 655, 3679, 1629, 739, 1943, 1151, 3894, 3124, 1227, 3044, 2013, 1956, 1252, 613, 3014, 1809, 804, 942, 789, 2849, 1825, 2849, 1825, 1825, 2465, 129, 3104, 1824, 1398, 1269, 440, 240, 2004, 1239, 1236, 24, 3255, 3169, 797, 1566, 1601, 3893, 927, 3727, 1711, 1411, 3099, 767, 95, 3775, 733, 3613, 3613, 541, 3597, 3597, 527, 1385, 2841, 2410, 2709, 1889, 3094, 3748, 151, 1361, 791, 1695, 527, 527, 527, 136, 3746, 3743, 1551, 539, 658, 2903, 1857, 1841, 801, 3905, 3857, 3905, 833, 3905, 833, 3266, 3169, 757, 654, 3969, 3848, 693, 3282, 833, 887, 3169, 385, 18, 1173, 1400, 1014, 3125, 3285, 1014, 1014, 1716, 824, 3284, 128, 127, 3959, 1975, 3610, 4021, 1866, 2145, 3681, 1813, 1386, 3091, 1441, 227, 1569, 1883, 1078, 3681, 919, 1278, 2585, 2587, 1050, 1937, 1072, 981, 1377, 1462, 34, 2513, 3085, 33, 1530, 1257, 796, 482, 1890, 1863, 973, 1121, 1579, 1944, 886, 3810, 87, 501, 1227, 344, 966, 645, 1953, 1828, 3089, 1826, 1818, 3857, 3105, 157, 1943, 1886, 1829, 382, 908, 3845, 3134, 2337, 2834, 2114, 150, 389, 610, 2458, 1356, 2428, 2426, 1249, 929, 202, 1294, 1377, 3848, 362, 3599, 474, 874, 1412, 1054, 1643, 2513, 63, 2652, 378 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1538, 858, 467, 6, 3145, 1371, 1633, 3294, 90, 4041, 2203, 1500, 3145, 4004, 2830, 2165, 113, 3373, 3077, 3939, 1562, 32, 3957, 3088, 996, 2603, 3867, 337, 3283, 1043, 914, 221, 1405, 1160, 278, 865, 1149, 422, 3883, 2194, 1425, 101, 1758, 1281, 1805, 585, 2629, 3698, 1582, 1889, 4025, 859, 3678, 2008, 282, 1390, 460, 1368, 518, 1818, 1850, 2380, 2058, 1372, 2294, 4085, 3196, 3846, 3197, 77, 1565, 205, 929, 3179, 66, 3448, 414, 802, 1421, 962, 3089, 133, 1821, 1565, 2832, 2214, 2622, 2435, 898, 1553, 509, 2237, 3420, 2294, 3153, 1565, 3089, 294, 19, 612, 3020, 3653, 3653, 1638, 2710, 2824, 2190, 2113, 3090, 411, 3743, 1746, 1701, 1715, 109, 14, 2669, 2972, 3361, 2778, 805, 111, 2865, 131, 1032, 1958, 101, 1395, 962, 1864, 2230, 125, 3645, 785, 2870, 222, 2245, 2060, 2833, 3208, 17, 388, 197, 88, 570, 1857, 1529, 2597, 294, 2613, 3284, 705, 4086, 3103, 3873, 961, 1073, 1557, 1825, 3955, 1912, 3594, 2082, 781, 85, 3128, 3457, 785, 785, 921, 2584, 520, 2589, 856, 821, 3470, 3992, 1632, 160, 2671, 2878, 1373, 3974, 3505, 3939, 3355, 475, 3862, 3352, 918, 185, 1976, 1088, 3592, 2568, 2832, 3613, 3087, 1261, 4045, 3291, 3345, 582, 3345, 1592, 1058, 2410, 2410, 1822, 1801, 1352, 2189, 2125, 1159, 3352, 2310, 2390, 2147, 1386, 281, 986, 2026, 1493, 3138, 1433, 2124, 795, 280, 1884, 362, 245, 2523, 1889, 3337, 776, 1506, 373, 312, 1510, 1497, 348, 1106, 3189, 1708, 1050, 3525, 2442, 1355, 294, 2149, 584, 3929, 1049, 1050, 3932, 1914, 1338, 1095, 67, 405, 605, 2529, 1882, 2842, 892, 748, 530, 1315, 1630, 1950, 3209, 100, 1621, 520, 2152, 305, 65, 793, 1868, 2057, 3127, 923, 3082, 797, 1551, 2069, 136, 1118, 3342, 1499, 3174, 2111, 22, 809, 522, 2104, 922, 24, 489, 2507, 171, 1371, 1431, 3677, 1581, 1638, 2457, 370, 2668, 104, 1390, 1982, 2033, 1854, 3737, 3546, 3285, 1447, 2883, 2842, 2017, 9, 1060, 781, 738, 1371, 3202, 2652, 3857, 1998, 2828, 1646, 2596, 1526, 2421, 3674, 2141, 62, 1051, 1289, 3688, 826, 3393, 68, 1377, 3089, 1092, 456, 220, 874, 2092, 1551, 3110, 333, 1133, 968, 778, 899, 2294, 499, 53, 2947, 1166, 104, 2378, 3915, 3104, 3543, 2129, 282, 2503, 40, 363, 13, 1438, 263, 1662, 1400, 565, 2620, 2965, 3535, 309, 3856, 274, 1387, 2450, 3597, 1416, 2214, 141, 235, 2143, 1487, 1499, 1246, 1130, 3304, 2380, 2723, 1451, 3083, 206, 1830, 1154, 1481, 98, 2670, 3274, 3208, 402, 2466, 395, 1494, 3150, 2187, 395, 651, 395, 331, 395, 394, 93, 1301, 2887, 281, 1151, 350, 74, 858, 1372, 3941, 338, 3589, 1354, 3925, 2134, 188, 534, 1100, 2582, 263, 1285, 3932, 3154, 34, 3958, 1313, 261, 3397, 1037, 3413, 107, 1078, 3418, 3293, 1933, 1803, 948, 795, 402, 1082, 3157, 1174, 1979, 2066, 91, 1305, 773, 1159, 2393, 862, 1607, 2711, 801, 1286, 2137, 265, 158, 1546, 335, 1290, 133, 2053, 23, 103, 3350, 278, 1366, 2862, 1189, 542, 2667, 1569, 524, 761, 3125, 3182, 61, 624, 1561, 2615, 1160, 2649, 2653, 1565, 871, 3305, 183, 3770, 2507, 1565 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2158, 1646, 2717, 2867, 2907, 395, 1609, 1387, 286, 1407, 1739, 2443, 1163, 1444, 2783, 3181, 2955, 203, 308, 3461, 351, 2236, 2234, 2227, 2928, 3568, 1609, 3212, 732, 2490, 746, 249, 1542, 3703, 3543, 1626, 3227, 758, 2423, 3472, 375, 1105, 4040, 729, 3943, 3538, 1654, 4036, 2236, 766, 1410, 1630, 1194, 3264, 3326, 3306, 3267, 3468, 3546, 2679, 3466, 2140, 359, 3161, 3653, 3999, 3445, 1399, 698, 760, 583, 4037, 2435, 3420, 1435, 2907, 2649, 249, 967, 1490, 1367, 1546, 356, 1355, 42, 1102, 1437, 1562, 3098, 3226, 2358, 1097, 393, 3078, 3363, 859, 1053, 3157, 1990, 1402, 1301, 1310, 1825, 579, 18, 3980, 2038, 1618, 791, 1877, 1591, 91, 1757, 220, 1247, 1641, 357, 3085, 1545, 2150, 1142, 346, 3662, 2078, 1365, 1561, 1845, 1654, 1402, 2082, 2349, 3345, 121, 3399, 389, 2139, 1158, 3653, 839, 85, 167, 72, 2471, 853, 330, 1816, 545, 1034, 4033, 2069, 537, 135, 362, 1253, 125, 3, 2, 120, 3671, 26, 3691, 1733, 3372, 261, 2482, 2571, 707, 335, 3207, 1801, 198, 1103, 2271, 1927, 1234, 3244, 358, 109, 525, 645, 3237, 253, 823, 90, 2389, 2425, 877, 3529, 518, 2102, 1413, 828, 828, 824, 267, 1623, 2707, 855, 1377, 1448, 138, 2068, 2588, 1640, 2450, 2465, 148, 977, 980, 365, 2275, 9, 981, 2067, 263, 655, 3077, 3848, 2183, 3092, 2579, 3042, 1358, 3493, 2065, 3689, 1338, 890, 1810, 1685, 211, 1422, 1805, 150, 3876, 1194, 3373, 3585, 904, 908, 3605, 645, 4007, 47, 460, 1190, 173, 532, 417, 1418, 2309, 2589, 1582, 1413, 1413, 922, 1413, 215, 222, 1915, 1926, 517, 661, 3158, 332, 381, 32, 1066, 1141, 3354, 3126, 1977, 3068, 1398, 2296, 2870, 1811, 82, 529, 3815, 2693, 3813, 61, 28, 920, 658, 2459, 2406, 2421, 1400, 1630, 2554, 2412, 3938, 1480, 922, 1937, 1153, 780, 1834, 1630, 2890, 1793, 68, 2075, 1148, 3528, 200, 2492, 373, 3125, 3137, 3996, 970, 3545, 4058, 3323, 3300, 1018, 1077, 3260, 3139, 3281, 867, 977, 1859, 1315, 1453, 538, 1386, 2411, 1451, 2078, 865, 2660, 1525, 1479, 3610, 386, 1786, 3019, 3863, 2842, 1476, 1397, 841, 3087, 3168, 3146, 1489, 1380, 1396, 372, 449, 1952, 3168, 3210, 495, 921, 1226, 837, 9, 331, 1288, 313, 289, 265, 1380, 1529, 3157, 3402, 1446, 3162, 1365, 156, 13, 1111, 509, 533, 2123, 2520, 2122, 70, 969, 872, 650, 373, 476, 281, 1035, 282, 1817, 1498, 1254, 86, 3096, 1435, 2130, 1627, 26, 3346, 1113, 97, 1605, 86, 1285, 3179, 41, 22, 1419, 1181, 3595, 786, 3110, 1377, 3605, 3082, 3145, 472, 2105, 286, 3125, 2620, 642, 3307, 1294, 1297, 3681, 3480, 1334, 1397, 532, 4011, 1434, 1706, 329, 3495, 2142, 277, 2822, 3077, 1501, 534, 3785, 1817, 795, 229, 4049, 133, 92, 122, 1179, 1413, 270, 716, 70, 3307, 1357, 288, 597, 1934, 200, 346, 1889, 153, 373, 892, 1633, 92, 1288, 1378, 2891, 3333, 3117, 3178, 3627, 1487, 1349, 236, 778, 3965, 1546, 218, 3515, 154, 2146, 1128, 2341, 548, 154, 3269, 91, 82, 1382, 604, 2855, 2183, 2202, 619, 2438, 2475, 1166, 1511, 2433, 789, 2138, 3115, 3866, 1864, 357, 3684, 3292 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2413, 1083, 1901, 1524, 1879, 1358, 348, 121, 1357, 866, 1246, 2888, 106, 1842, 3084, 345, 3029, 412, 141, 869, 1163, 1157, 773, 278, 1253, 1168, 661, 3148, 1030, 1306, 365, 93, 2057, 3289, 213, 275, 1401, 1383, 1035, 3269, 1307, 3909, 328, 297, 1161, 530, 789, 3338, 2005, 86, 310, 3385, 330, 1370, 9, 282, 1031, 1114, 906, 469, 1372, 1369, 156, 33, 1298, 14, 8, 3393, 33, 3482, 1242, 2091, 1034, 1797, 7, 325, 213, 3847, 22, 3143, 1130, 6, 466, 2142, 517, 2461, 1562, 1029, 2472, 3434, 3850, 1131, 1586, 529, 3659, 1619, 9, 6, 2233, 2104, 2334, 2461, 3423, 109, 2106, 2108, 2767, 2513, 92, 3870, 1253, 346, 344, 3930, 2359, 26, 2061, 392, 517, 1365, 537, 776, 1528, 3734, 1372, 1306, 1354, 1306, 1349, 517, 1027, 2632, 2698, 1023, 3879, 3904, 3163, 1846, 1410, 3914, 1910, 2778, 3673, 1590, 1177, 3419, 2842, 3354, 3676, 1528, 629, 1132, 3705, 2825, 1722, 11, 1038, 2402, 1225, 1718, 1241, 74, 346, 1285, 3333, 77, 5, 1285, 1350, 2693, 850, 10, 1309, 9, 262, 1366, 197, 1105, 1403, 2389, 1497, 41, 3386, 2060, 326, 1276, 73, 281, 1031, 534, 199, 69, 337, 342, 291, 86, 1302, 278, 278, 365, 3314, 129, 1101, 2634, 58, 313, 1402, 604, 262, 662, 1366, 353, 1402, 1685, 343, 22, 2810, 1373, 37, 312, 1734, 193, 1480, 2827, 2320, 74, 1519, 414, 63, 2170, 1570, 2205, 3173, 4006, 169, 2458, 504, 2338, 292, 90, 2575, 1583, 1162, 3362, 3420, 326, 2197, 651, 1530, 2093, 407, 524, 433, 1050, 3115, 1449, 645, 3352, 206, 1701, 2629, 1242, 837, 773, 523, 12, 1829, 389, 3909, 3224, 658, 2467, 1552, 3748, 346, 3925, 632, 1039, 45, 3077, 2758, 2144, 331, 4021, 1480, 1253, 978, 48, 1473, 10, 100, 918, 3030, 1786, 3067, 864, 2379, 3899, 2078, 3925, 2629, 2514, 337, 178, 309, 3925, 1883, 327, 2570, 3460, 1447, 1643, 3227, 1644, 2669, 618, 1477, 2567, 1435, 603, 1435, 1436, 518, 1565, 1630, 542, 1631, 603, 2059, 1293, 3782, 1417, 4089, 990, 1630, 1439, 1386, 114, 1372, 1462, 860, 1378, 1884, 2494, 203, 1179, 1122, 1355, 1142, 1404, 2402, 1332, 1323, 1122, 3362, 3356, 348, 906, 312, 1348, 1350, 263, 1349, 417, 3094, 2844, 1285, 1653, 108, 777, 1734, 3577, 1382, 668, 3142, 104, 1613, 1415, 104, 1666, 2134, 3201, 841, 2253, 3941, 1643, 72, 524, 5, 1482, 25, 3272, 1242, 1221, 3641, 2054, 1370, 3194, 3333, 1176, 97, 553, 2065, 326, 6, 1841, 517, 1321, 1245, 1114, 534, 3146, 1094, 278, 1237, 342, 522, 326, 1303, 1121, 2037, 2121, 329, 1078, 1365, 3077, 1305, 1558, 1050, 374, 1301, 2074, 1319, 2043, 2091, 3023, 2821, 342, 1050, 261, 330, 89, 1734, 326, 1301, 218, 1174, 277, 2138, 1291, 1881, 36, 1096, 9, 69, 901, 646, 19, 773, 1029, 1035, 1115, 383, 1071, 325, 3380, 397, 1498, 2313, 1807, 3446, 1030, 3102, 129, 2183, 1031, 2650, 3417, 922, 2394, 586, 2717, 1437, 2730, 1568, 1119, 1414, 2058, 1670, 1115, 1927, 1291, 3158, 2074, 1850, 4086, 2446, 1611, 1342, 1632, 348, 1215, 3710, 1630, 1376, 1273, 1886, 3925, 2644, 98, 3466, 3509 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 164, 787, 1307, 1620, 1381, 474, 1892, 3162, 1899, 1875, 1045, 393, 3932, 3409, 1467, 107, 1545, 805, 1989, 82, 3084, 3937, 1370, 1370, 1370, 1370, 3461, 2102, 1494, 1563, 2149, 431, 1092, 2106, 1157, 3483, 54, 3085, 3159, 6, 2385, 61, 1086, 903, 324, 789, 2373, 969, 4005, 1848, 1784, 568, 3592, 237, 2127, 519, 3227, 60, 1893, 1831, 1447, 1254, 3512, 3081, 2066, 871, 1125, 524, 268, 732, 785, 878, 1518, 2178, 1760, 497, 189, 212, 3804, 3877, 2114, 3094, 2677, 791, 789, 372, 3425, 1636, 3437, 333, 3586, 1784, 17, 3428, 775, 1538, 103, 2976, 1289, 769, 1557, 1965, 1630, 1323, 1493, 37, 1281, 3179, 2033, 1941, 3133, 316, 629, 1994, 2069, 310, 3645, 1228, 526, 1809, 87, 3910, 2227, 1724, 3328, 3869, 1059, 2974, 1373, 158, 1159, 2177, 788, 664, 3546, 2364, 3652, 1437, 837, 1635, 647, 317, 12, 824, 1150, 2314, 3259, 2182, 2056, 269, 1803, 3997, 25, 1173, 4049, 3601, 66, 1527, 2255, 2046, 1661, 1031, 3420, 2215, 2326, 1925, 1855, 1736, 12, 780, 4009, 941, 2435, 793, 3941, 452, 806, 2056, 2073, 3948, 2995, 2973, 2654, 2414, 1584, 3285, 3740, 3777, 159, 2573, 273, 432, 830, 2833, 2883, 212, 3164, 3445, 1765, 4088, 3528, 213, 2352, 3840, 791, 3969, 788, 1349, 4049, 1748, 199, 2290, 2840, 417, 3361, 2004, 453, 1970, 1645, 2389, 3262, 1817, 2200, 458, 3317, 767, 3621, 3332, 40, 317, 481, 81, 3272, 2305, 965, 111, 3262, 3976, 2948, 2343, 3058, 3025, 996, 1553, 1274, 1649, 1308, 3240, 830, 397, 3314, 2332, 2396, 601, 3418, 27, 69, 892, 36, 3446, 1305, 1478, 374, 3449, 1629, 1177, 2393, 3417, 3446, 3357, 318, 1098, 3425, 1045, 2201, 3868, 1562, 3934, 1031, 2180, 2687, 991, 85, 3364, 531, 2565, 1800, 3161, 356, 2693, 166, 1538, 2573, 522, 67, 1282, 1426, 292, 3845, 1380, 43, 2055, 2054, 2931, 1644, 2667, 1766, 2469, 437, 446, 2467, 2462, 1758, 2782, 2590, 1502, 2812, 842, 3141, 1718, 2465, 2086, 1226, 1738, 3346, 1625, 3948, 1226, 1490, 132, 1399, 138, 794, 284, 2702, 2702, 1884, 1889, 1334, 1903, 1224, 1580, 1372, 2455, 1312, 2458, 2073, 2517, 1889, 356, 3421, 1614, 149, 3189, 390, 1489, 809, 3574, 82, 3111, 3415, 462, 1399, 1481, 3427, 1118, 1890, 418, 3526, 1878, 988, 2422, 1398, 3430, 3549, 92, 268, 1258, 1494, 2506, 85, 3166, 125, 3448, 1372, 3481, 793, 3978, 3350, 1103, 156, 1809, 3934, 3450, 1441, 350, 2378, 1506, 1418, 2213, 226, 3516, 853, 1118, 1364, 2502, 262, 3362, 261, 1411, 1302, 1884, 273, 553, 3243, 1381, 3448, 2902, 3446, 3350, 1180, 614, 1381, 1438, 1829, 1116, 540, 2137, 2172, 3438, 3546, 3416, 1885, 673, 476, 218, 205, 1035, 406, 612, 1498, 2422, 1397, 1689, 273, 2177, 350, 2411, 404, 1081, 629, 804, 4028, 1333, 2577, 2785, 774, 2411, 3464, 1564, 786, 590, 2493, 1835, 1486, 1421, 2317, 785, 1692, 212, 1517, 1567, 2149, 823, 1725, 529, 1516, 3166, 2607, 609, 1799, 3359, 788, 3240, 1724, 3102, 2205, 923, 200, 211, 3527, 3769, 1998, 1499, 2764, 876, 2333, 812, 465, 1556, 1741, 209, 2460, 803, 1514, 2456, 3106, 2509, 2464, 3614, 2536, 1743 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2183, 233, 2023, 2079, 2538, 1792, 3837, 4071, 2613, 3150, 204, 3254, 2027, 1626, 1421, 3412, 3208, 55, 1506, 3938, 1308, 1386, 1482, 478, 1038, 2082, 3278, 2400, 1109, 2010, 1490, 1148, 3117, 28, 3291, 38, 1825, 1246, 2379, 278, 2642, 1379, 172, 1291, 2296, 3536, 3079, 657, 453, 1915, 2574, 1484, 315, 1622, 2125, 1688, 1372, 3622, 202, 261, 2054, 3912, 795, 1504, 1085, 3092, 2037, 3386, 629, 775, 2440, 215, 1070, 2166, 2395, 149, 715, 428, 950, 460, 170, 1873, 3714, 186, 3159, 2577, 1694, 391, 1421, 3285, 505, 218, 2221, 399, 986, 176, 261, 3276, 638, 1228, 158, 2102, 2911, 194, 1989, 3704, 2263, 414, 1832, 1042, 455, 824, 638, 38, 1869, 2566, 785, 825, 953, 3862, 3848, 2897, 3464, 2677, 1804, 616, 2437, 566, 108, 202, 3079, 1626, 2659, 1241, 299, 600, 2613, 1228, 2564, 3558, 2271, 2927, 37, 40, 2976, 1130, 2164, 2177, 3102, 2589, 2101, 573, 3079, 249, 3357, 3463, 13, 1032, 3351, 860, 933, 8, 354, 213, 2081, 894, 1437, 1877, 1233, 3352, 905, 1327, 1165, 2566, 2067, 3419, 2334, 760, 2114, 1402, 2517, 3145, 2467, 318, 215, 2055, 965, 1800, 2378, 3854, 540, 3341, 165, 427, 667, 3109, 3973, 3857, 173, 1614, 531, 954, 1182, 1375, 587, 18, 1510, 2343, 69, 109, 154, 335, 1695, 517, 2189, 965, 456, 618, 1919, 1292, 2873, 145, 396, 1760, 2011, 1482, 1857, 866, 1553, 3497, 2326, 537, 569, 877, 3882, 3863, 3357, 1546, 436, 825, 2059, 2078, 197, 11, 2090, 1590, 1412, 1030, 3409, 3675, 517, 2058, 290, 353, 3461, 1364, 4058, 969, 847, 378, 3789, 1498, 2011, 1628, 1416, 3254, 646, 3278, 3227, 1530, 3192, 1350, 4027, 1398, 1398, 3306, 3022, 3486, 2410, 2982, 2480, 3676, 2341, 2906, 2105, 1311, 1842, 3, 2, 155, 2326, 170, 1864, 1633, 3684, 2059, 1837, 137, 1821, 1383, 2136, 2282, 2196, 2273, 42, 3432, 2060, 175, 824, 1164, 3343, 1382, 2709, 326, 81, 330, 773, 93, 153, 282, 1866, 2329, 2441, 1672, 1038, 1178, 1823, 2450, 1733, 1547, 1434, 3458, 1820, 1997, 1545, 3487, 349, 2573, 1422, 417, 2575, 542, 77, 16, 103, 795, 5, 725, 2025, 1042, 1433, 1349, 1989, 2822, 200, 2053, 535, 2077, 3922, 1410, 1847, 2214, 1285, 2150, 1800, 2269, 973, 3078, 198, 2509, 502, 2843, 1573, 2244, 1400, 2593, 429, 1378, 182, 3176, 1514, 1802, 3244, 1510, 989, 421, 858, 2072, 2719, 619, 2549, 2081, 3742, 2831, 1885, 126, 2462, 1068, 998, 3870, 1627, 2647, 325, 230, 9, 1337, 1222, 50, 1366, 1537, 284, 1546, 1145, 3081, 545, 298, 619, 541, 3281, 652, 1733, 3485, 2567, 1418, 3399, 3419, 2297, 1809, 552, 597, 619, 2103, 3420, 1283, 1484, 1565, 981, 3594, 3681, 3722, 3420, 344, 1513, 3078, 3833, 1400, 1825, 380, 465, 510, 1481, 1097, 3580, 248, 3656, 3454, 3871, 74, 1541, 283, 3474, 412, 3286, 220, 2059, 54, 3017, 462, 118, 1733, 1530, 1243, 265, 387, 2153, 1225, 898, 1046, 1881, 3446, 1090, 1115, 1226, 1064, 1096, 1353, 1818, 1618, 1316, 121, 1312, 1548, 978, 1222, 49, 291, 1754, 484, 342, 630, 1121, 3893, 1801, 1142, 1809, 1301, 2080, 1052, 76, 2248, 348, 245 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1152, 1867, 607, 518, 378, 3273, 1221, 1040, 1887, 3525, 3162, 3221, 3171, 346, 3202, 2608, 73, 1274, 1500, 1821, 63, 2133, 533, 2191, 2346, 69, 244, 426, 1358, 1146, 1411, 1527, 90, 682, 1254, 3125, 2054, 2565, 1477, 1541, 1492, 518, 1741, 10, 2074, 3370, 2458, 1237, 1080, 3149, 409, 142, 37, 85, 2055, 23, 597, 90, 1818, 1349, 550, 2422, 1626, 273, 857, 74, 262, 341, 601, 1110, 4065, 90, 777, 3236, 1412, 1481, 265, 1974, 841, 2113, 3525, 1688, 119, 69, 73, 585, 2081, 78, 37, 5, 521, 3341, 21, 294, 2885, 602, 1497, 51, 412, 364, 1301, 18, 1037, 1301, 282, 42, 1098, 578, 3083, 309, 1481, 3932, 881, 1365, 1156, 388, 1175, 4065, 76, 773, 70, 2054, 522, 293, 1109, 298, 133, 263, 23, 601, 42, 1054, 1362, 1093, 348, 1639, 3961, 1559, 341, 389, 2072, 2181, 1353, 3174, 2629, 5, 1610, 346, 1113, 453, 280, 3763, 3913, 2612, 3398, 408, 1453, 74, 293, 1303, 315, 1293, 3093, 2123, 1321, 3162, 176, 3030, 704, 3889, 1370, 1365, 981, 1097, 1285, 2429, 90, 346, 261, 1113, 1114, 570, 1094, 1878, 1081, 729, 1207, 3101, 465, 2076, 1285, 161, 858, 110, 1109, 565, 1109, 1046, 1349, 345, 1033, 1482, 2057, 2141, 2582, 173, 365, 21, 172, 1438, 91, 1407, 2159, 266, 1370, 1033, 3338, 1349, 341, 3097, 1354, 278, 18, 1405, 98, 394, 2453, 1162, 1098, 1304, 1350, 1353, 1106, 138, 294, 653, 1032, 1372, 3417, 1095, 1374, 25, 3105, 1398, 474, 72, 2014, 1045, 70, 25, 10, 1070, 3356, 36, 1994, 86, 345, 2394, 1109, 1889, 1349, 96, 1707, 2059, 2922, 3717, 237, 330, 1305, 281, 345, 1356, 290, 2465, 329, 409, 538, 1257, 269, 1141, 1935, 283, 341, 1284, 125, 329, 437, 1082, 2117, 522, 1046, 1382, 378, 1094, 1529, 566, 790, 1478, 372, 1098, 1514, 2522, 965, 1628, 459, 2922, 1225, 2069, 3753, 1049, 774, 3094, 1874, 1036, 348, 3343, 1292, 733, 1288, 3162, 3418, 3157, 346, 2316, 3612, 1570, 85, 1317, 25, 985, 2137, 34, 607, 2057, 280, 1270, 1110, 86, 165, 326, 1141, 904, 2057, 90, 2246, 293, 266, 2137, 1434, 1309, 1167, 2054, 329, 2060, 1094, 149, 1091, 853, 157, 2677, 62, 1349, 693, 3206, 1611, 2238, 2566, 2213, 1290, 2937, 93, 700, 101, 38, 471, 1097, 2591, 19, 1050, 2106, 2076, 1118, 843, 3797, 658, 1285, 2362, 3120, 3497, 334, 135, 1287, 517, 2439, 2075, 2058, 794, 2061, 842, 2470, 808, 138, 2101, 1786, 1285, 2645, 3133, 3797, 262, 2742, 1486, 455, 2085, 53, 282, 694, 2826, 2761, 158, 3227, 2844, 265, 1896, 2034, 1994, 2384, 184, 794, 2317, 982, 797, 622, 94, 1505, 56, 391, 85, 830, 1288, 2442, 2596, 10, 1397, 20, 1224, 456, 2383, 1223, 1653, 3139, 1797, 2091, 78, 53, 2573, 309, 3721, 647, 2311, 167, 11, 2837, 2054, 391, 22, 1542, 2790, 1859, 12, 3945, 775, 1581, 59, 1542, 1813, 1994, 3050, 1290, 1788, 3306, 1031, 3670, 279, 3145, 1348, 1300, 136, 3168, 611, 2053, 2415, 1426, 1476, 54, 44, 3099, 1630, 2413, 2906, 1934, 1339, 2437, 1371, 1610, 1169, 1459, 2310, 1377, 382, 2245, 1692, 1798 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2253, 3421, 306, 1546, 1055, 11, 1823, 1098, 1434, 1050, 2044, 1301, 1616, 1992, 28, 1846, 1932, 3552, 1849, 2588, 1639, 396, 421, 601, 2407, 346, 3897, 3671, 656, 1124, 305, 151, 345, 3356, 1355, 426, 808, 503, 876, 49, 2327, 39, 1236, 286, 1846, 1148, 1380, 315, 402, 2132, 834, 2146, 2145, 1490, 1514, 265, 318, 1676, 2873, 1785, 911, 305, 3996, 308, 1279, 480, 1167, 1356, 1539, 787, 2001, 151, 2006, 2015, 1850, 106, 967, 2209, 10, 3326, 3176, 792, 3189, 699, 3139, 3530, 1222, 1428, 1232, 392, 1129, 1288, 1415, 2337, 253, 219, 3164, 3218, 2293, 853, 179, 3417, 1275, 2393, 1819, 531, 3548, 3132, 1258, 702, 1226, 1698, 1684, 159, 1955, 1700, 2016, 802, 2658, 1672, 159, 1689, 1885, 1060, 1437, 351, 655, 1695, 645, 1955, 1670, 3905, 1148, 520, 3437, 410, 3101, 122, 1949, 35, 1190, 2621, 3226, 3449, 3598, 669, 3987, 1887, 575, 3997, 3619, 43, 1599, 1833, 1538, 3453, 792, 3429, 65, 872, 2429, 10, 1044, 1434, 1839, 1153, 929, 3084, 609, 1634, 1041, 4002, 4089, 1412, 863, 1091, 1365, 3408, 118, 1184, 2574, 1944, 791, 1549, 1532, 3272, 2146, 1195, 2782, 2018, 3898, 3228, 3857, 1373, 4051, 3414, 3870, 3366, 2641, 3490, 2251, 26, 3318, 3274, 1857, 3685, 3381, 789, 3982, 209, 3369, 865, 3425, 1562, 916, 2329, 3781, 3430, 2869, 1371, 1734, 1925, 686, 2189, 590, 1509, 979, 1082, 1884, 1249, 3484, 1853, 3322, 1235, 325, 3128, 3399, 1443, 1618, 1351, 1119, 3279, 2018, 1017, 1910, 3365, 1827, 1434, 392, 3716, 2530, 374, 3601, 21, 3958, 2969, 1931, 1229, 589, 1085, 1858, 1065, 1687, 545, 2657, 3457, 1874, 858, 1950, 1082, 3584, 1593, 1625, 2017, 22, 3590, 359, 797, 2104, 2629, 3354, 363, 3638, 3898, 3102, 1229, 200, 502, 1162, 3656, 1833, 1836, 1798, 1622, 2157, 2828, 3654, 3578, 3446, 3676, 849, 229, 3405, 3533, 1642, 800, 2084, 89, 3384, 2252, 936, 1383, 350, 369, 3317, 25, 4058, 1535, 540, 3914, 2269, 89, 2365, 2122, 2934, 1624, 2021, 3202, 28, 3918, 354, 3077, 632, 3162, 2920, 2372, 1096, 2385, 3191, 572, 1310, 1349, 3921, 3554, 3566, 137, 2636, 1436, 3320, 348, 2613, 3878, 2078, 4054, 763, 2217, 3987, 584, 470, 2061, 2373, 2394, 1309, 1525, 1814, 3140, 1814, 1873, 3426, 405, 3546, 3916, 2365, 3909, 97, 3613, 3136, 1252, 1038, 3599, 399, 1135, 28, 3084, 3893, 859, 1153, 1378, 2196, 595, 822, 2338, 142, 2618, 1601, 280, 1827, 500, 834, 1285, 3100, 356, 2606, 477, 2568, 1934, 1130, 1474, 2064, 1625, 3271, 1677, 3400, 2938, 1982, 3865, 3421, 3876, 1487, 1432, 3132, 379, 3855, 488, 3540, 520, 2177, 5, 1570, 3958, 1508, 3954, 1061, 3738, 63, 1688, 564, 2959, 3250, 2509, 4092, 4013, 2047, 1848, 784, 1859, 2604, 1300, 3835, 3328, 1317, 104, 181, 111, 134, 1862, 1046, 1830, 81, 968, 1803, 3141, 3343, 3115, 5, 25, 1310, 507, 2567, 2125, 1377, 1804, 1066, 773, 354, 1033, 3153, 1226, 3089, 1557, 2328, 373, 458, 5, 1111, 1082, 635, 5, 342, 1502, 1390, 1321, 2310, 26, 1308, 1818, 1149, 73, 3845, 3526, 1094, 1673, 2461, 3352, 330, 1036, 278, 3654, 1110, 1036, 1110, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1110, 390, 278, 278, 278, 338, 1105, 284, 1098, 1577, 2141, 1367, 2577, 394, 3453, 3554, 1184, 674, 1184, 653, 2698, 3172, 2149, 3708, 1467, 3094, 343, 1883, 1880, 89, 1882, 2478, 3431, 1345, 2521, 3086, 1541, 2682, 2430, 1498, 3230, 3525, 1910, 1931, 1482, 3667, 397, 1357, 2570, 1226, 3215, 1286, 637, 461, 1048, 1048, 1058, 3176, 217, 1102, 2106, 310, 609, 1328, 1048, 1302, 742, 1498, 3909, 2837, 2330, 554, 3427, 285, 2904, 1870, 150, 1303, 421, 78, 3381, 332, 1349, 3853, 1544, 348, 1370, 3948, 2566, 349, 1285, 517, 3418, 774, 1291, 2095, 90, 2057, 1179, 1626, 82, 324, 342, 1103, 1372, 3453, 1368, 218, 1349, 3146, 1404, 2618, 1609, 1030, 1302, 1285, 540, 374, 1370, 93, 74, 33, 1114, 3913, 773, 986, 1558, 3735, 1352, 2565, 412, 1030, 4045, 1269, 262, 473, 1622, 3925, 2397, 151, 1636, 1068, 847, 24, 1365, 845, 345, 1285, 2206, 3029, 3396, 2166, 2012, 4002, 197, 1372, 1221, 1064, 383, 395, 2461, 1751, 1937, 420, 1290, 1909, 97, 2250, 154, 3274, 856, 1071, 254, 1825, 152, 1186, 1352, 2147, 2350, 2138, 3686, 3578, 2588, 2410, 706, 1526, 1954, 1816, 3223, 1175, 1770, 437, 218, 334, 928, 2206, 2141, 2460, 1386, 1636, 1319, 1361, 3161, 1289, 106, 3417, 358, 2654, 1481, 395, 1406, 1489, 1478, 1825, 2423, 1553, 290, 1150, 1708, 2389, 1178, 1380, 2177, 652, 1048, 3404, 1382, 3343, 1294, 1418, 1845, 454, 343, 346, 677, 17, 1114, 1478, 3417, 69, 521, 1099, 1302, 3350, 1285, 2113, 3381, 3397, 2134, 3158, 1545, 341, 2314, 78, 2933, 2426, 1113, 1114, 1029, 1342, 3406, 165, 1573, 853, 1147, 90, 2182, 1293, 795, 934, 274, 1350, 391, 149, 269, 1850, 1498, 2337, 1049, 356, 1370, 1372, 455, 1032, 3098, 1994, 30, 1824, 2074, 3718, 2150, 94, 1702, 2057, 1384, 229, 1989, 2484, 3158, 2210, 1493, 3922, 252, 73, 1865, 300, 1569, 3168, 334, 3866, 2873, 2878, 2882, 1586, 3118, 1601, 3125, 1568, 2826, 3718, 1329, 3701, 577, 756, 444, 2849, 1333, 345, 2925, 1983, 325, 62, 2378, 1332, 3076, 261, 1402, 2090, 1410, 2851, 133, 1387, 3959, 3087, 3125, 634, 2833, 3125, 3133, 197, 17, 869, 3104, 1141, 1819, 652, 1317, 3078, 1497, 2833, 785, 1077, 1622, 281, 232, 480, 67, 1424, 1470, 2449, 33, 631, 3866, 4014, 2731, 2201, 986, 1300, 262, 1246, 1367, 1049, 465, 1062, 330, 1289, 1873, 21, 5, 3802, 95, 2333, 681, 91, 2331, 1682, 3758, 101, 661, 281, 681, 389, 2638, 2079, 1083, 3749, 2095, 1076, 598, 332, 2745, 1050, 752, 1558, 3333, 2709, 106, 491, 3, 2, 263, 1411, 1418, 1385, 1389, 1402, 1913, 2349, 6, 1319, 228, 3333, 96, 1379, 13, 2538, 1553, 3208, 1113, 2593, 2460, 1225, 3275, 3291, 2075, 2453, 2761, 342, 30, 331, 1424, 1273, 3861, 2036, 210, 3126, 1676, 902, 1378, 605, 2191, 3228, 105, 457, 2170, 902, 347, 2753, 138, 1641, 3462, 2026, 1947, 1433, 3706, 1433, 1884, 2410, 2495, 1434, 2473, 1114, 1370, 2584, 1910, 85, 4074, 3118, 529, 3419, 1354, 1049, 1366, 1059, 1381, 1370, 2630, 1110, 354, 82, 1034, 1046, 330, 1371, 1365, 834, 780, 2018, 3594, 646, 1272 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 988, 3413, 6, 3893, 85, 303, 1371, 858, 1946, 3881, 857, 3738, 1257, 73, 2885, 4000, 905, 549, 1718, 364, 11, 1883, 103, 203, 2134, 2932, 449, 3320, 218, 1581, 2783, 2209, 1640, 379, 3487, 152, 518, 454, 1382, 3912, 840, 822, 998, 3860, 3016, 232, 823, 3083, 3286, 511, 20, 3625, 894, 1544, 44, 209, 2269, 3402, 4055, 1670, 3165, 174, 1412, 365, 536, 2769, 2144, 1923, 3857, 796, 8, 475, 396, 3302, 2456, 454, 1644, 1287, 1080, 3176, 780, 3898, 149, 928, 1224, 801, 3850, 3683, 1437, 776, 910, 563, 2018, 1811, 2018, 3281, 606, 1828, 3127, 1587, 3902, 1869, 637, 3425, 2161, 445, 3712, 2468, 915, 2066, 3921, 3352, 3859, 3934, 1040, 2661, 1225, 1043, 67, 1514, 3125, 263, 3704, 298, 2090, 1040, 608, 3368, 3785, 993, 1528, 1380, 2552, 13, 60, 4072, 1302, 273, 2404, 2556, 1174, 1092, 1482, 1542, 33, 127, 1378, 3496, 9, 2153, 2178, 3922, 1430, 2381, 60, 3602, 1096, 732, 3715, 1238, 2426, 2010, 3422, 279, 1322, 1706, 1877, 1378, 3088, 1514, 3414, 1813, 1641, 1395, 498, 1562, 2550, 3194, 2710, 2412, 348, 346, 3356, 1287, 2894, 1702, 269, 2138, 1562, 1875, 119, 2081, 3673, 2381, 542, 1846, 3155, 712, 1735, 1381, 3411, 778, 3336, 3981, 21, 232, 1100, 3909, 1895, 2069, 125, 2596, 831, 3896, 249, 1878, 1490, 3030, 2053, 2821, 2269, 2555, 965, 855, 1439, 2124, 278, 3048, 356, 1142, 3555, 3289, 907, 1563, 3398, 19, 339, 1093, 2113, 331, 2154, 1097, 665, 1512, 26, 2455, 2131, 73, 80, 3498, 2314, 1482, 1520, 2422, 1178, 1797, 1065, 108, 3406, 266, 218, 1352, 1798, 3093, 354, 3928, 458, 2166, 1866, 2136, 4063, 2118, 2313, 1113, 1174, 2374, 1501, 737, 1814, 1114, 2534, 1845, 3722, 1034, 1929, 2206, 1309, 2901, 3077, 1561, 57, 1306, 221, 521, 268, 1826, 3099, 1386, 3933, 17, 37, 362, 1370, 2378, 3956, 2818, 1048, 388, 3042, 3868, 1243, 3700, 393, 2385, 74, 3458, 1435, 2662, 1378, 2858, 150, 1412, 1498, 1839, 2053, 5, 2702, 348, 3413, 1229, 26, 875, 1890, 1290, 1498, 3201, 857, 1124, 1669, 465, 1426, 1542, 1033, 69, 1310, 341, 2567, 1306, 17, 342, 491, 1547, 1372, 1401, 202, 1032, 1285, 1365, 518, 133, 504, 2097, 2827, 1125, 2896, 1210, 2449, 2135, 377, 2073, 1393, 2053, 8, 2662, 1817, 1562, 278, 1099, 312, 370, 3758, 1131, 3418, 1405, 809, 136, 1061, 383, 1260, 2629, 3132, 201, 299, 1385, 29, 2070, 1638, 837, 5, 2122, 1126, 2123, 3493, 282, 2266, 1890, 1498, 134, 518, 1061, 1818, 92, 3303, 1478, 265, 3367, 2861, 2095, 2189, 359, 42, 3269, 3281, 3094, 3749, 615, 2063, 1053, 1373, 1049, 709, 9, 3424, 3345, 1825, 1898, 853, 2396, 2382, 602, 1291, 325, 2053, 9, 1285, 442, 1422, 1885, 294, 346, 218, 1113, 1089, 5, 2374, 921, 1511, 2055, 1046, 3950, 1153, 1594, 1570, 1368, 1370, 469, 1797, 1397, 1306, 1605, 76, 1872, 292, 1462, 1286, 775, 2178, 1541, 2920, 338, 186, 2117, 629, 2858, 86, 3495, 3351, 3940, 1386, 1552, 1369, 3154, 1059, 1397, 409, 3410, 1101, 249, 981, 763, 2053, 1820, 1437, 392, 1365, 273, 977, 18, 2085, 3846, 3629, 390 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 60, 1581, 73, 1857, 368, 458, 920, 2906, 3078, 608, 3662, 918, 3418, 3272, 1209, 2172, 3458, 17, 300, 3110, 1895, 1223, 3442, 3170, 744, 1117, 1960, 1484, 1507, 651, 122, 2134, 3527, 2221, 20, 2053, 2084, 395, 2217, 523, 2223, 105, 3922, 1605, 397, 2858, 541, 245, 218, 2188, 1355, 103, 989, 2262, 3425, 209, 1816, 5, 3147, 26, 3504, 1889, 1269, 868, 1410, 441, 1301, 1374, 2343, 551, 3229, 1883, 482, 1029, 5, 3595, 3417, 430, 1670, 1302, 30, 3843, 1658, 1353, 1041, 28, 3176, 1494, 3114, 2830, 3557, 14, 1541, 2011, 150, 1403, 254, 1861, 262, 6, 1255, 634, 10, 1874, 329, 1349, 5, 54, 2058, 37, 197, 181, 331, 734, 1354, 1110, 1114, 21, 265, 1830, 1349, 1378, 1525, 326, 2202, 2557, 3374, 2451, 2826, 3335, 2311, 2989, 68, 566, 1931, 3580, 3393, 2141, 1034, 330, 1390, 1084, 3331, 2919, 521, 2394, 3749, 1225, 387, 2597, 69, 489, 21, 278, 106, 1657, 1820, 1797, 124, 796, 1649, 473, 26, 3967, 519, 73, 73, 1053, 2245, 100, 1959, 37, 3143, 409, 1050, 1650, 298, 3896, 2874, 3089, 384, 337, 264, 2898, 3164, 3612, 75, 342, 3661, 1051, 1177, 3785, 277, 6, 393, 598, 3928, 2169, 477, 2327, 3094, 2058, 2117, 595, 2935, 1310, 552, 86, 1314, 1464, 69, 3245, 821, 135, 3210, 269, 5, 2097, 2250, 274, 245, 3085, 119, 1105, 1334, 453, 1114, 1237, 2590, 1338, 266, 1402, 1528, 2430, 2774, 616, 1490, 346, 653, 2121, 1553, 2310, 1615, 582, 2105, 15, 1624, 2054, 868, 773, 529, 261, 1750, 1114, 2665, 3113, 1739, 369, 3281, 3094, 3077, 4045, 62, 2327, 471, 38, 3208, 1561, 1727, 728, 386, 3035, 2971, 3713, 329, 3788, 1180, 1363, 2522, 1541, 1306, 30, 2319, 3693, 389, 1050, 2471, 2057, 1289, 278, 2160, 3343, 3943, 2054, 4031, 669, 3145, 840, 909, 1240, 657, 6, 2149, 422, 2477, 2459, 1254, 2421, 3669, 413, 3771, 2845, 1969, 1589, 544, 2588, 3771, 2252, 237, 2747, 2764, 2645, 1012, 2916, 2514, 1562, 2090, 1822, 1504, 1776, 3432, 3692, 3620, 2397, 531, 1580, 16, 3309, 2603, 2412, 3488, 1260, 2536, 2027, 494, 1527, 1632, 1772, 1640, 1532, 2573, 1644, 3575, 729, 684, 2781, 2400, 3562, 1564, 3577, 541, 2463, 1724, 3359, 1614, 3868, 2451, 1440, 3696, 1760, 2431, 1567, 1286, 1773, 2812, 3684, 1147, 41, 2714, 942, 1305, 3179, 1372, 3241, 606, 1501, 839, 1049, 666, 1797, 1368, 3708, 2814, 1410, 2462, 3713, 3393, 3548, 190, 1466, 1464, 444, 461, 1476, 2426, 1167, 3479, 3661, 3722, 3247, 7, 4050, 2433, 522, 3695, 445, 450, 1418, 3457, 3719, 409, 3713, 3902, 1438, 3903, 1676, 111, 3772, 3675, 3885, 3836, 3539, 1997, 1999, 167, 2043, 1188, 3777, 2667, 3523, 3969, 446, 3883, 407, 3130, 1435, 391, 653, 2232, 2283, 2575, 567, 1185, 326, 2462, 1374, 2460, 1862, 1354, 2858, 1802, 1802, 1292, 1626, 1050, 2778, 3541, 1393, 395, 260, 1356, 442, 2846, 1361, 1803, 2427, 2916, 1381, 3300, 2588, 2074, 2857, 1094, 3526, 1145, 1547, 1566, 1082, 1416, 1891, 75, 1626, 1958, 1403, 42, 1286, 1677, 1595, 1305, 2186, 154, 342, 3249, 342, 197, 1849, 133, 1313, 3337, 5, 1142, 277 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1302, 282, 1349, 14, 778, 1815, 218, 2846, 343, 3477, 2054, 1581, 1130, 1061, 5, 5, 5, 17, 785, 2058, 27, 649, 1865, 1861, 92, 58, 3852, 3459, 3420, 2069, 4038, 12, 284, 1284, 1595, 888, 3927, 1245, 390, 613, 1249, 308, 2395, 1370, 1314, 1946, 3354, 3610, 1925, 4066, 3098, 773, 273, 1670, 3269, 3157, 1658, 1450, 1322, 345, 914, 202, 3420, 2072, 798, 2107, 1551, 298, 3461, 2299, 2861, 29, 806, 3168, 468, 1941, 3425, 2915, 2316, 1632, 1403, 2839, 2138, 3066, 1301, 2053, 1333, 1452, 1410, 1411, 345, 3273, 1381, 106, 2029, 129, 1217, 1533, 3133, 2933, 187, 1871, 95, 1317, 1382, 1898, 1435, 1185, 1556, 826, 1799, 1474, 2867, 2200, 2246, 2893, 2556, 2076, 2765, 1110, 2416, 72, 1314, 1385, 1160, 138, 3342, 1480, 3334, 490, 2903, 337, 3342, 410, 2060, 1821, 2586, 1609, 337, 1377, 3142, 2504, 342, 1331, 2138, 811, 329, 278, 3350, 1890, 266, 2021, 86, 281, 1142, 331, 1222, 3441, 1094, 357, 1197, 1919, 348, 3086, 1103, 1058, 1378, 986, 2458, 2714, 1705, 1036, 1862, 1437, 1551, 1372, 1852, 82, 265, 825, 2205, 1067, 3373, 166, 1154, 2646, 2077, 1155, 1643, 531, 2181, 1618, 1631, 1354, 88, 596, 1787, 545, 581, 2117, 2395, 294, 560, 1063, 3637, 1113, 3099, 107, 225, 220, 179, 389, 2517, 2074, 1310, 910, 2365, 3401, 1484, 1349, 1041, 3088, 664, 2533, 1046, 2056, 2073, 3173, 610, 2034, 1450, 1310, 1443, 1122, 3126, 1797, 1097, 2062, 230, 2378, 3982, 85, 2610, 1283, 18, 3163, 518, 1561, 1753, 76, 1541, 2055, 76, 3863, 795, 3649, 4045, 237, 7, 1125, 225, 1477, 129, 2773, 212, 574, 3940, 1577, 1662, 56, 1033, 3704, 1836, 646, 3605, 330, 122, 2043, 2565, 1373, 2251, 1419, 346, 986, 1630, 2310, 1114, 2134, 1238, 1682, 2409, 3846, 3141, 1226, 1110, 2646, 3098, 1889, 588, 358, 1100, 825, 1378, 775, 1082, 3385, 198, 550, 3157, 2138, 201, 2319, 363, 614, 825, 730, 1502, 3607, 399, 1386, 1289, 2101, 3126, 1061, 3357, 470, 2149, 3917, 1305, 4059, 1626, 2437, 3146, 3414, 602, 1028, 1878, 1753, 502, 1350, 778, 3083, 2087, 1055, 634, 357, 2316, 361, 109, 3673, 30, 890, 385, 614, 354, 29, 1945, 310, 1349, 3428, 1878, 1546, 202, 1286, 349, 1285, 2694, 3402, 2055, 1032, 610, 11, 1401, 1109, 1482, 1799, 3087, 1372, 3290, 2168, 1035, 337, 389, 421, 3209, 1512, 794, 1798, 1559, 38, 362, 19, 75, 773, 2059, 1043, 1288, 97, 2389, 2470, 97, 269, 2590, 1234, 1322, 1402, 1385, 213, 164, 1165, 2914, 2042, 1921, 3274, 475, 602, 1141, 1413, 2047, 4084, 1961, 539, 1648, 1817, 1349, 3419, 3678, 1442, 1183, 183, 187, 598, 2081, 1634, 1305, 102, 350, 1212, 805, 2190, 612, 522, 1307, 2936, 1367, 2374, 3034, 782, 1562, 2009, 649, 2921, 2009, 3402, 1364, 1734, 1610, 1427, 3298, 1351, 482, 864, 1798, 3029, 234, 1867, 3415, 3181, 1744, 54, 3929, 1436, 622, 3275, 2586, 1991, 1541, 3271, 1418, 2139, 3208, 3105, 3573, 156, 199, 3201, 3142, 238, 1288, 538, 1285, 2525, 1285, 2570, 353, 1238, 310, 1659, 1861, 110, 2327, 39, 743, 697, 1415, 1406, 2123, 798, 2467, 2197, 2106, 2560 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 2249, 1715, 111, 14, 2626, 3381, 2657, 2105, 1143, 3033, 1678, 3562, 962, 2081, 974, 1117, 1598, 2856, 2914, 2593, 637, 1437, 3853, 566, 797, 1497, 599, 217, 2093, 1737, 309, 139, 86, 3174, 3655, 13, 3078, 987, 3, 2, 2609, 2262, 291, 809, 1141, 3857, 285, 2164, 2025, 316, 11, 666, 1274, 364, 2426, 1101, 3301, 230, 3747, 1054, 3670, 610, 2020, 2401, 3973, 600, 3853, 3944, 599, 88, 999, 1478, 3386, 1121, 3477, 3709, 2362, 1921, 1490, 1299, 1933, 3163, 2602, 2011, 1882, 1246, 90, 2670, 3684, 1387, 3422, 2172, 1819, 1886, 3425, 1450, 3394, 3579, 222, 1565, 3683, 2492, 1410, 1658, 2395, 1543, 1321, 2604, 3705, 794, 587, 2060, 1942, 1317, 473, 794, 3450, 1315, 1285, 1945, 2921, 3202, 3426, 3462, 100, 1137, 360, 291, 219, 1641, 1865, 633, 1067, 2666, 1402, 634, 1618, 3931, 362, 205, 2701, 1285, 971, 646, 793, 1113, 1253, 807, 2585, 246, 3221, 1857, 1774, 122, 666, 773, 2589, 3277, 1045, 110, 1165, 1550, 861, 1032, 805, 344, 2169, 2460, 1542, 567, 1819, 106, 850, 1702, 345, 1366, 1352, 341, 2634, 2697, 25, 1326, 3077, 3077, 1565, 1224, 1205, 1036, 830, 3206, 1041, 3609, 2638, 1374, 3499, 406, 2475, 2145, 1331, 1436, 373, 3631, 2193, 3281, 5, 1254, 535, 363, 1243, 2411, 1630, 1630, 1630, 688, 2229, 2907, 2002, 414, 1387, 1310, 1422, 2585, 2259, 62, 1835, 1352, 1421, 2018, 3417, 219, 2410, 1367, 1546, 1736, 2402, 3490, 1355, 21, 1825, 3082, 3270, 3586, 1378, 3230, 1482, 2914, 1336, 100, 3420, 3866, 1914, 3100, 2450, 1397, 3468, 2249, 290, 1740, 283, 2521, 3532, 508, 453, 3421, 3930, 1655, 1397, 3690, 1528, 2376, 66, 1384, 3959, 2654, 2821, 3434, 605, 2038, 3653, 3673, 1694, 3156, 1904, 1287, 2007, 3898, 610, 851, 3906, 3406, 1610, 3164, 130, 1474, 2538, 4050, 1426, 1389, 3466, 3458, 2513, 490, 2246, 1504, 384, 70, 2266, 897, 619, 1607, 386, 1753, 734, 2376, 1180, 3194, 1794, 156, 1446, 4029, 1326, 1665, 376, 92, 967, 2424, 1404, 107, 1666, 135, 156, 3905, 3530, 2654, 3930, 4050, 2431, 220, 215, 2422, 1509, 3975, 859, 1668, 3132, 466, 2522, 1576, 2314, 892, 3286, 3382, 275, 967, 155, 1794, 1770, 3180, 3945, 3592, 1555, 1402, 1696, 370, 2140, 185, 900, 94, 1529, 4088, 2330, 3686, 3202, 431, 1371, 3155, 1336, 3546, 3198, 915, 101, 1502, 3934, 3437, 3483, 922, 3451, 1643, 202, 2420, 1317, 3206, 2268, 1790, 1625, 2608, 4010, 2533, 3282, 1551, 409, 631, 2422, 2387, 2438, 2090, 3138, 12, 1100, 74, 2895, 2460, 1437, 1372, 3226, 2403, 30, 1372, 1132, 1361, 1321, 164, 3094, 1508, 2299, 2336, 3129, 1070, 2405, 2200, 787, 1546, 1898, 2057, 3222, 3062, 2135, 2401, 220, 3210, 3565, 1308, 417, 3341, 273, 1128, 3270, 1893, 3863, 778, 4088, 364, 1221, 1307, 3937, 3429, 615, 1580, 3111, 1196, 3717, 2411, 95, 1859, 1834, 2205, 1004, 2317, 626, 1940, 3543, 1190, 1306, 1269, 2891, 2515, 1800, 796, 413, 3469, 659, 1340, 3805, 1201, 3339, 1885, 1132, 2066, 1844, 157, 610, 2061, 266, 1644, 3435, 1451, 1416, 485, 3372, 2037, 665, 3681, 2569, 1531, 1899, 270, 2904, 3576, 1438, 2260, 149 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2494, 1677, 417, 1387, 1487, 1386, 269, 604, 257, 287, 2508, 3739, 2253, 3733, 802, 1580, 1644, 2569, 414, 2549, 483, 3025, 409, 3266, 1448, 360, 2907, 424, 3856, 2391, 1804, 1709, 1387, 1189, 201, 40, 277, 2647, 3859, 514, 393, 1809, 2412, 1044, 2287, 1821, 1278, 2016, 2041, 2539, 1180, 2460, 1408, 1058, 1418, 1314, 1845, 903, 460, 209, 884, 481, 2552, 17, 3356, 1445, 44, 170, 2410, 2572, 1820, 2277, 781, 3543, 965, 454, 2418, 2409, 2346, 2347, 2661, 1556, 2579, 1204, 1386, 2407, 3422, 2694, 316, 620, 778, 2407, 2138, 1800, 169, 724, 923, 620, 109, 3080, 453, 1634, 2159, 214, 2410, 2091, 2163, 1961, 31, 778, 2216, 267, 2354, 2495, 810, 2337, 3172, 513, 674, 282, 1741, 3435, 1299, 1324, 2260, 162, 2492, 2484, 2504, 2336, 3137, 3455, 501, 2978, 580, 2275, 1290, 2506, 2518, 1268, 1542, 3925, 3272, 3884, 2056, 3345, 966, 1509, 4049, 1041, 156, 3853, 1547, 677, 412, 1387, 1428, 2382, 388, 3493, 199, 721, 925, 1558, 2102, 548, 487, 2682, 1258, 1611, 1672, 3336, 612, 601, 2398, 853, 92, 378, 1370, 2201, 38, 3100, 1429, 506, 294, 950, 3202, 1387, 427, 1890, 1512, 1004, 3219, 1039, 1703, 2146, 1188, 15, 3481, 25, 2468, 536, 2618, 3481, 3407, 1933, 516, 229, 1447, 769, 405, 101, 2316, 1439, 1799, 2476, 157, 2535, 661, 2250, 315, 1419, 3157, 1575, 2248, 2610, 2259, 222, 1808, 2284, 2716, 3662, 3755, 2258, 1517, 3697, 3335, 2895, 2411, 1797, 3788, 1612, 2652, 3293, 1378, 1235, 1429, 2293, 218, 3064, 280, 1917, 3531, 2300, 1756, 157, 2502, 4059, 1187, 1508, 3205, 700, 2092, 890, 1483, 2161, 1500, 3175, 1022, 2113, 430, 1540, 1433, 2508, 1635, 988, 2465, 3705, 1639, 2279, 2257, 3252, 289, 920, 1643, 211, 1645, 3100, 1437, 833, 2277, 1617, 830, 1434, 3526, 3518, 3333, 477, 1892, 358, 1338, 2413, 1327, 1370, 354, 905, 33, 162, 30, 29, 78, 2570, 3927, 3277, 3352, 1013, 2406, 56, 1077, 160, 1411, 1342, 1244, 2395, 2393, 3466, 2638, 3198, 1864, 1800, 1847, 2107, 3717, 223, 389, 2426, 3190, 1262, 859, 1339, 3451, 323, 348, 1603, 214, 858, 3190, 4095, 42, 924, 3433, 4013, 1117, 1346, 218, 1550, 2405, 1806, 1049, 4049, 3281, 3257, 3854, 3270, 723, 3153, 2071, 1646, 3555, 2102, 1052, 1242, 3947, 1253, 2038, 1261, 2020, 616, 377, 3403, 1438, 1886, 2150, 2287, 1866, 788, 1673, 787, 2086, 60, 1561, 3099, 2136, 2652, 1065, 4058, 1253, 3393, 358, 463, 13, 30, 297, 2330, 589, 2102, 842, 326, 1305, 1561, 2338, 281, 2578, 1704, 789, 2118, 269, 1177, 3081, 1111, 270, 234, 3189, 3080, 533, 1133, 298, 774, 281, 2200, 276, 2751, 1113, 4036, 1871, 1798, 1365, 298, 3124, 3477, 605, 31, 5, 2485, 2613, 2677, 1209, 1669, 2123, 1542, 262, 278, 1241, 2137, 1177, 1097, 3078, 340, 346, 1526, 281, 3402, 1404, 1114, 1225, 1117, 901, 590, 2938, 3420, 3082, 1397, 347, 21, 1350, 794, 3623, 10, 1814, 1414, 277, 263, 1735, 2759, 2759, 2567, 1807, 2863, 3083, 1286, 1200, 196, 1685, 606, 47, 3079, 1479, 2757, 1200, 433, 303, 51, 2371, 1289, 326, 773, 145, 109, 1029, 1113, 3087, 38 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1889, 22, 347, 1101, 1970, 107, 3347, 1050, 1163, 485, 326, 325, 1850, 10, 69, 1797, 1052, 18, 1035, 1301, 3656, 2330, 1637, 122, 2330, 1578, 266, 545, 3397, 2193, 1402, 90, 2394, 3445, 1036, 1290, 3414, 22, 311, 277, 338, 290, 26, 3415, 1369, 794, 1610, 1369, 3270, 5, 3397, 1377, 461, 2169, 139, 1824, 1399, 1485, 2947, 715, 2337, 3410, 154, 3079, 2126, 1302, 72, 270, 15, 298, 2353, 1101, 1097, 1350, 798, 3735, 1241, 1101, 1646, 1233, 846, 982, 2996, 1366, 1435, 672, 2396, 781, 1636, 785, 3119, 1373, 358, 3466, 3445, 2257, 3430, 3131, 3467, 165, 1449, 1093, 198, 1069, 25, 1242, 2321, 2441, 155, 9, 44, 1302, 1626, 862, 1861, 2198, 442, 1196, 2507, 2053, 2861, 450, 43, 1991, 924, 1705, 6, 2827, 2250, 1589, 1098, 1037, 74, 1754, 281, 843, 314, 2582, 22, 1655, 1302, 25, 3321, 2678, 1654, 1282, 1058, 1798, 1528, 1112, 1648, 3288, 2072, 1888, 458, 2470, 1226, 3182, 1061, 2578, 2169, 869, 1083, 327, 35, 2842, 2330, 38, 206, 920, 3645, 1797, 2395, 30, 517, 1897, 297, 530, 314, 774, 1389, 1828, 314, 1429, 138, 92, 261, 1606, 2401, 1271, 3458, 1542, 1738, 1406, 382, 203, 1621, 9, 3334, 676, 1356, 1424, 251, 2269, 2590, 1630, 2658, 1443, 1165, 165, 346, 1365, 157, 2123, 1574, 2217, 2406, 3350, 285, 1365, 344, 3938, 3847, 302, 1890, 2164, 373, 855, 1314, 1864, 3134, 2200, 1891, 2870, 2146, 274, 1846, 1645, 3448, 3130, 2149, 3164, 3708, 1244, 2148, 2300, 3704, 3926, 476, 2910, 2146, 1297, 2762, 3615, 2132, 786, 3992, 1456, 3446, 1784, 1543, 1446, 931, 1565, 1880, 1121, 86, 3239, 1816, 2512, 3493, 3451, 2063, 2101, 2424, 474, 4001, 1378, 1773, 1588, 3582, 2821, 3035, 1498, 2418, 1400, 506, 3930, 2823, 1826, 1946, 3876, 3136, 1556, 1483, 2251, 2071, 1987, 1560, 3582, 3252, 1420, 1244, 1079, 356, 1496, 3024, 3997, 2942, 1783, 210, 2360, 1901, 1872, 3168, 3096, 118, 2332, 1297, 2427, 1559, 2101, 3382, 3964, 1048, 1488, 1219, 1689, 481, 3426, 2823, 440, 1628, 2665, 1655, 908, 2311, 2350, 1827, 718, 2459, 710, 177, 1115, 1925, 472, 2060, 345, 853, 261, 849, 477, 2118, 2340, 1142, 3354, 56, 3189, 5, 1453, 922, 1032, 2570, 85, 2567, 714, 1626, 2853, 2393, 58, 1039, 1438, 836, 1878, 184, 2457, 1500, 584, 3156, 1413, 1541, 101, 2437, 2433, 794, 1315, 1289, 792, 1029, 3418, 1498, 3168, 853, 1236, 3418, 1365, 278, 1371, 2586, 1037, 261, 1669, 1162, 1399, 209, 1125, 674, 36, 2558, 731, 1642, 3464, 1154, 731, 459, 3796, 410, 1539, 655, 1628, 3126, 1237, 519, 3333, 2136, 1340, 1922, 3244, 98, 197, 263, 2940, 1099, 3162, 1365, 3083, 13, 2382, 393, 694, 476, 3155, 2517, 3096, 3484, 212, 370, 2605, 106, 1386, 2436, 4060, 2856, 811, 3723, 398, 975, 666, 4058, 1754, 2762, 1374, 1807, 370, 583, 462, 1162, 1870, 3431, 3934, 1867, 1818, 801, 3642, 2410, 2434, 2389, 185, 924, 2452, 165, 2166, 1516, 1015, 583, 355, 3498, 1530, 1515, 3953, 1058, 1818, 698, 2666, 3394, 1043, 44, 3334, 2404, 1083, 868, 1942, 4058, 1990, 3087, 2147, 1677, 597, 619, 1435, 1402, 2043 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2849, 2119, 1361, 1541, 3084, 1044, 13, 194, 1033, 1130, 41, 1061, 3591, 5, 2118, 1482, 1034, 3336, 69, 34, 1193, 812, 262, 1445, 362, 3297, 1402, 1377, 3449, 3250, 1571, 2301, 1862, 108, 1817, 1078, 2326, 1131, 3446, 1369, 3288, 268, 2398, 1782, 873, 2281, 1072, 1822, 2325, 2764, 3161, 29, 1350, 2054, 10, 69, 2309, 1094, 3525, 74, 3602, 1608, 86, 1178, 1482, 3929, 665, 773, 278, 1358, 1146, 1750, 3396, 2377, 1269, 533, 3931, 2186, 854, 3081, 1383, 26, 1077, 219, 317, 1237, 137, 1430, 11, 589, 1373, 1480, 1882, 2054, 1890, 3169, 250, 100, 1738, 598, 197, 881, 1397, 3094, 2281, 1242, 1049, 149, 3078, 1574, 3513, 1925, 2230, 2341, 266, 1626, 1051, 142, 473, 2330, 1605, 1038, 378, 2085, 1642, 1285, 333, 1238, 57, 2010, 3205, 21, 53, 601, 2121, 3606, 2009, 37, 331, 101, 587, 3421, 477, 1541, 1141, 1195, 161, 28, 1228, 1869, 1861, 3014, 1542, 2678, 1113, 3125, 1050, 1286, 1415, 9, 1105, 542, 1286, 1440, 357, 3420, 1369, 104, 2362, 3422, 2565, 3, 2, 3702, 1401, 1944, 3446, 1439, 1569, 1041, 1413, 1570, 2593, 3682, 1812, 1878, 1812, 823, 1762, 1635, 1947, 2167, 1153, 822, 2389, 981, 685, 89, 4058, 1228, 1298, 1308, 3526, 468, 473, 984, 341, 1356, 1225, 1371, 3866, 3172, 1830, 58, 3385, 809, 4058, 1865, 458, 2025, 875, 1349, 1036, 1594, 1820, 3401, 584, 534, 1404, 58, 1530, 17, 3418, 3162, 470, 1480, 3877, 978, 1297, 980, 1884, 276, 1415, 1222, 1039, 860, 3484, 1814, 524, 2572, 1811, 928, 1484, 1964, 3212, 78, 1642, 612, 3473, 811, 36, 232, 2059, 1001, 3872, 478, 2516, 2577, 1812, 3281, 1788, 2580, 193, 2555, 1323, 1681, 744, 2565, 1488, 2514, 2065, 1558, 2851, 835, 248, 245, 2056, 197, 1544, 1857, 2516, 1288, 1884, 779, 788, 1004, 472, 2324, 2572, 2771, 1521, 1797, 236, 2433, 2324, 491, 996, 2516, 1480, 2093, 1008, 2026, 1848, 236, 923, 811, 992, 773, 1808, 2401, 2485, 2257, 925, 1004, 863, 1341, 233, 3548, 844, 45, 987, 200, 2058, 4039, 1101, 531, 775, 232, 1012, 1430, 721, 133, 904, 2772, 2193, 243, 244, 500, 2398, 613, 913, 200, 2260, 3228, 1518, 1257, 3571, 257, 2379, 1077, 2718, 1232, 2523, 780, 586, 2427, 1336, 606, 1825, 1293, 505, 1355, 209, 1769, 809, 497, 2036, 1336, 611, 941, 793, 3546, 3855, 508, 3271, 1020, 3577, 3585, 489, 1812, 280, 2551, 1357, 802, 1963, 3035, 1481, 3034, 467, 812, 3875, 935, 2538, 3872, 3371, 1212, 3572, 177, 904, 1835, 3646, 209, 316, 3620, 1410, 2905, 2428, 3445, 3149, 1676, 2828, 1050, 1354, 345, 428, 1528, 3228, 3670, 1634, 3554, 1397, 3554, 1121, 1118, 1052, 114, 370, 290, 1797, 1034, 12, 966, 165, 168, 778, 349, 1369, 1098, 3899, 1479, 1115, 27, 53, 2840, 2491, 2400, 3853, 645, 391, 3755, 2838, 3587, 1033, 3893, 164, 1473, 2020, 2357, 69, 348, 3034, 2036, 7, 541, 1845, 1992, 3545, 1981, 1246, 3204, 993, 1619, 2209, 2510, 3221, 3100, 1878, 3810, 873, 3829, 3957, 984, 3096, 1562, 3893, 1345, 3006, 2043, 439, 2295, 979, 920, 2345, 3703, 1132, 222, 1629, 1913, 3422, 1992, 2042, 3130 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1310, 1112, 3098, 3589, 875, 2847, 1114, 361, 22, 2124, 1560, 1543, 218, 3128, 348, 3591, 1552, 1622, 1125, 117, 98, 121, 1096, 2434, 2178, 2086, 1289, 1078, 3342, 291, 1104, 1037, 1720, 340, 407, 406, 2010, 117, 1313, 1354, 1498, 3929, 1100, 3543, 1302, 585, 3415, 2639, 8, 6, 297, 1242, 17, 1377, 345, 1866, 1954, 444, 1161, 2138, 1114, 1372, 2311, 2938, 2125, 1093, 1633, 345, 1544, 522, 1565, 90, 133, 1142, 1370, 1926, 522, 2282, 3205, 405, 309, 869, 3105, 138, 2407, 102, 2650, 1372, 1814, 293, 3426, 3082, 1625, 538, 2453, 2273, 2253, 222, 1863, 477, 718, 290, 73, 1037, 2411, 709, 2053, 136, 1171, 1181, 1435, 3487, 11, 348, 3781, 902, 2059, 2385, 1688, 546, 1556, 1509, 3302, 2194, 600, 2589, 2812, 3585, 1736, 285, 926, 2833, 102, 4066, 1446, 3973, 3965, 2778, 1744, 1131, 2785, 589, 2397, 223, 237, 1852, 2257, 927, 2400, 1439, 2540, 1629, 2336, 3755, 3552, 461, 2504, 2977, 1442, 745, 3993, 1395, 2444, 519, 869, 396, 1804, 924, 1480, 3545, 1748, 3281, 2492, 1440, 2538, 2593, 2596, 209, 1625, 249, 598, 298, 1372, 3501, 38, 1532, 1517, 2082, 141, 166, 1279, 297, 293, 1802, 1441, 714, 1817, 20, 1370, 1372, 1353, 1994, 1812, 3253, 826, 1077, 3858, 3425, 1090, 1546, 778, 813, 3428, 1650, 105, 2083, 50, 3085, 3698, 1842, 3748, 545, 3370, 2457, 2436, 1589, 173, 129, 915, 29, 4008, 3185, 1923, 1859, 2102, 3140, 822, 3043, 2113, 759, 2046, 1214, 565, 2979, 3078, 1843, 3899, 54, 2123, 3197, 3325, 977, 1015, 3139, 3894, 2066, 3127, 1858, 1042, 3425, 3101, 3137, 929, 1875, 1091, 2091, 2878, 918, 3125, 931, 1527, 2113, 1941, 3939, 1858, 1811, 165, 4018, 3994, 3281, 929, 3677, 3229, 3953, 3078, 3123, 1399, 1735, 821, 3685, 945, 3438, 1253, 936, 1889, 3361, 165, 3933, 787, 28, 3850, 3365, 2109, 3133, 961, 3986, 1609, 1845, 3589, 3603, 2883, 565, 929, 913, 2967, 3433, 2437, 3637, 787, 836, 610, 1946, 936, 1949, 967, 1310, 2247, 2670, 819, 1885, 3105, 2331, 1502, 1233, 2394, 3190, 1061, 2023, 1309, 3894, 1941, 3221, 3006, 1986, 2257, 2429, 3749, 3160, 2908, 3117, 2020, 781, 4086, 2020, 1944, 2040, 2006, 3137, 1107, 1998, 1317, 3198, 3743, 3934, 2839, 857, 2877, 3236, 3197, 3775, 3996, 3188, 1182, 229, 3535, 3744, 574, 212, 1484, 2596, 1410, 2903, 1505, 1481, 394, 3090, 3336, 1878, 1354, 1291, 2780, 3079, 1530, 1120, 1084, 1400, 3449, 1370, 601, 377, 1465, 1100, 1478, 3525, 1029, 1848, 518, 1384, 3098, 3640, 649, 985, 1378, 844, 1058, 471, 284, 898, 3425, 1916, 1125, 3480, 3670, 1862, 1311, 1400, 489, 3319, 133, 408, 2001, 2615, 1802, 821, 3333, 1957, 774, 3676, 1397, 1577, 1100, 1317, 664, 2597, 2568, 3269, 2312, 916, 532, 1114, 3080, 65, 3598, 2196, 1161, 1226, 762, 1643, 1644, 1642, 1142, 2728, 1410, 476, 3772, 3677, 1355, 411, 594, 3407, 1957, 1162, 117, 3271, 1854, 3546, 3339, 371, 1013, 3455, 3797, 1475, 2608, 641, 533, 132, 1058, 3417, 3077, 1812, 2295, 469, 535, 2190, 1505, 143, 996, 998, 1864, 3438, 2020, 2010, 3659, 305, 1626, 3461, 1645, 1455, 3162, 2697, 853, 1359 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2501, 1565, 2077, 1498, 1159, 2667, 1309, 349, 102, 489, 413, 3335, 219, 1554, 1494, 1309, 1370, 3497, 1498, 262, 2118, 2246, 1477, 3671, 2406, 393, 397, 1673, 889, 3542, 3193, 2427, 647, 2454, 429, 2020, 2506, 2135, 2181, 2055, 2063, 66, 2589, 1642, 1557, 486, 2821, 370, 422, 3341, 903, 133, 1230, 1441, 3938, 2212, 2581, 1306, 2206, 2629, 614, 3410, 391, 668, 3725, 2512, 2142, 793, 522, 1636, 78, 3598, 86, 1558, 1867, 1321, 3686, 3078, 998, 3873, 1166, 1407, 1674, 2119, 2983, 742, 7, 73, 2058, 1544, 127, 12, 1913, 1078, 1196, 102, 3131, 1404, 1222, 382, 143, 485, 1937, 1847, 905, 905, 2633, 2413, 2056, 269, 134, 1894, 2075, 1181, 391, 101, 151, 1429, 1589, 3226, 1162, 1553, 678, 2565, 3740, 1662, 1601, 1691, 1417, 3717, 3085, 1419, 2106, 3901, 411, 1413, 3615, 1029, 137, 538, 523, 1349, 4047, 1823, 2058, 3419, 1049, 1149, 529, 519, 2399, 134, 3220, 826, 1686, 3019, 3146, 839, 3039, 1639, 1428, 265, 2414, 2087, 2411, 298, 1396, 1414, 3333, 3092, 51, 927, 239, 410, 933, 356, 1108, 1351, 118, 459, 1003, 806, 2054, 270, 3623, 165, 2183, 413, 3621, 1245, 2607, 2323, 1049, 2565, 2106, 2053, 517, 3678, 1067, 1434, 1099, 1884, 1480, 2588, 1157, 1965, 2030, 357, 2183, 271, 2501, 3165, 26, 645, 101, 1885, 347, 1541, 3133, 101, 336, 1303, 2507, 2159, 788, 1044, 2515, 133, 852, 107, 422, 300, 436, 1359, 3852, 2102, 2770, 47, 678, 1425, 708, 1683, 787, 1478, 2394, 3117, 313, 2119, 1613, 1517, 890, 311, 3851, 819, 2919, 2994, 3573, 222, 1134, 1359, 442, 3422, 3871, 3775, 740, 1051, 3191, 2043, 129, 3147, 3905, 785, 1791, 2037, 3740, 1400, 979, 339, 3894, 3190, 3449, 886, 1235, 193, 3282, 1144, 228, 3381, 2066, 1679, 527, 2156, 824, 796, 796, 245, 3290, 3434, 2405, 882, 2930, 1898, 2410, 2410, 2538, 493, 3458, 3128, 3199, 3125, 510, 1450, 1353, 862, 28, 2393, 2462, 1290, 1499, 2682, 1825, 90, 586, 1358, 18, 1031, 352, 3931, 1298, 1376, 3416, 1474, 1609, 828, 2575, 74, 348, 3428, 1097, 293, 3933, 1950, 10, 3593, 2913, 4038, 1160, 412, 9, 2181, 2053, 3467, 13, 632, 409, 2330, 645, 3910, 75, 2426, 1722, 1604, 1116, 1765, 866, 3930, 1946, 2900, 122, 3700, 926, 3409, 461, 85, 2685, 853, 35, 1541, 2570, 1372, 1679, 3128, 1295, 1743, 538, 377, 138, 234, 226, 1674, 3893, 610, 2658, 3950, 1037, 2066, 2329, 1411, 1189, 605, 2396, 619, 490, 1262, 2729, 1094, 1593, 2315, 1145, 1149, 2380, 1354, 369, 3365, 620, 12, 1533, 3576, 261, 53, 6, 3894, 2396, 3655, 655, 79, 353, 711, 101, 235, 777, 87, 2184, 1797, 3077, 5, 206, 442, 2405, 60, 1947, 1678, 2419, 1379, 1671, 107, 1579, 1644, 2117, 2150, 2188, 1352, 1037, 2063, 33, 141, 165, 454, 2117, 2566, 3870, 1558, 1327, 1655, 3420, 620, 3324, 508, 3432, 3487, 3292, 95, 2494, 2519, 2414, 2670, 3630, 2826, 1136, 2096, 555, 327, 538, 3350, 1639, 2265, 2586, 401, 1367, 1071, 2323, 705, 1398, 250, 1191, 1367, 1687, 2590, 3353, 1430, 549, 2568, 2455, 3142, 11, 1627, 587, 1049, 2469, 2229, 1423, 530 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33, 2106, 908, 1510, 254, 1608, 3081, 581, 1081, 546, 1032, 3525, 524, 3374, 2542, 2464, 212, 2427, 1174, 1955, 2467, 2520, 2282, 2220, 924, 980, 2354, 1400, 277, 765, 1822, 3701, 3111, 1737, 1798, 1706, 2156, 1752, 1516, 3689, 2428, 2140, 2092, 2418, 1498, 2532, 748, 2024, 1014, 1516, 2222, 3278, 2787, 1716, 2434, 1387, 3256, 276, 3741, 14, 3201, 1442, 1437, 360, 519, 2743, 2984, 3272, 2211, 1127, 2342, 349, 1224, 2065, 1356, 534, 2688, 1364, 1063, 395, 1192, 3477, 3126, 1811, 2055, 165, 4037, 2149, 389, 2118, 465, 2095, 838, 20, 1064, 737, 858, 2457, 1741, 357, 2057, 104, 1158, 889, 4040, 1302, 1223, 1070, 1642, 2689, 3376, 747, 1923, 1961, 3126, 1593, 579, 1826, 557, 1670, 2617, 3305, 2925, 2577, 3147, 1953, 1137, 3597, 578, 270, 255, 577, 1393, 834, 1590, 3886, 2490, 3332, 3649, 1593, 3564, 2562, 3381, 4042, 3491, 2628, 3426, 1913, 3370, 1694, 2468, 1531, 2604, 3843, 677, 3182, 73, 550, 2213, 3189, 1681, 1096, 325, 20, 153, 289, 858, 1545, 1107, 965, 3112, 1289, 2417, 87, 3862, 3096, 2220, 1209, 1433, 2681, 2890, 2379, 1545, 1386, 4093, 3325, 886, 1903, 3592, 4057, 3106, 3834, 2686, 1864, 2413, 299, 3567, 945, 3320, 1911, 1157, 853, 981, 2181, 3912, 3539, 973, 897, 2190, 3910, 3957, 776, 1061, 310, 816, 3604, 3163, 3756, 1284, 289, 556, 2299, 2278, 2085, 2278, 2158, 3212, 1062, 136, 1894, 310, 3364, 3542, 2122, 2529, 517, 1558, 3591, 1059, 390, 69, 99, 202, 1227, 2182, 472, 2056, 80, 2196, 1884, 1701, 712, 2150, 3971, 767, 235, 2296, 1798, 3733, 619, 2104, 3871, 1820, 230, 3425, 2557, 2094, 1794, 2036, 450, 2186, 1164, 423, 3308, 2673, 202, 2533, 209, 3152, 52, 1307, 1402, 1708, 3164, 327, 1059, 2283, 221, 3474, 1032, 317, 15, 2534, 3470, 122, 3113, 3737, 2318, 1545, 1429, 2147, 138, 2229, 3, 2, 655, 782, 2707, 1167, 264, 415, 1451, 839, 370, 2286, 3418, 1932, 12, 3084, 1358, 1750, 3355, 399, 2200, 2257, 833, 70, 126, 1623, 620, 1554, 3894, 1695, 30, 1288, 1550, 2651, 163, 717, 2121, 3083, 2054, 2058, 2186, 1443, 3916, 3133, 3097, 2081, 24, 3929, 414, 397, 3357, 2649, 1286, 2593, 1383, 2780, 1341, 3014, 2090, 2525, 3669, 3947, 2134, 2428, 1446, 2149, 805, 102, 2460, 2542, 2874, 1622, 2119, 1021, 1576, 1574, 3917, 2662, 3647, 1243, 2165, 491, 732, 109, 26, 2245, 3911, 2065, 1416, 1871, 697, 2680, 1685, 1948, 552, 508, 1398, 2963, 1670, 924, 2516, 618, 145, 807, 308, 2247, 289, 3720, 2538, 1427, 269, 109, 668, 359, 2054, 1459, 729, 2461, 2130, 3213, 1254, 1211, 41, 3336, 1514, 660, 579, 833, 231, 1016, 1025, 1489, 347, 651, 401, 339, 1514, 272, 3687, 43, 333, 795, 72, 1189, 414, 637, 3666, 389, 2195, 1351, 1704, 810, 2053, 2898, 234, 2421, 172, 212, 822, 3465, 3527, 2952, 3859, 1649, 2532, 775, 3879, 167, 3498, 3738, 3656, 913, 3269, 2491, 1086, 1514, 2440, 2119, 1899, 929, 1910, 3615, 633, 1056, 1101, 1039, 333, 2453, 617, 44, 616, 520, 1036, 833, 2063, 1928, 2579, 110, 1848, 26, 1072, 3429, 3710, 3420, 4069, 1573, 2653, 93, 88 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2193, 3137, 2234, 1257, 3528, 278, 321, 1417, 517, 3224, 3148, 2331, 2629, 549, 56, 583, 1480, 53, 1798, 1548, 3592, 2177, 91, 3886, 4091, 3176, 606, 1841, 2042, 1490, 2645, 3273, 1831, 234, 3280, 3301, 1798, 2913, 3179, 2879, 1544, 1788, 14, 1644, 534, 2970, 2331, 14, 1029, 1606, 2392, 817, 775, 1238, 165, 133, 3901, 202, 246, 2018, 3025, 929, 4054, 3013, 593, 768, 1733, 3966, 1435, 2454, 2011, 1030, 1925, 2564, 1637, 335, 1032, 4060, 8, 1541, 469, 381, 1268, 3736, 1045, 1622, 1913, 1023, 1036, 2057, 3272, 2072, 992, 3533, 2081, 4065, 1946, 3685, 2069, 3462, 170, 3947, 3418, 1127, 905, 2023, 375, 565, 2149, 1246, 858, 534, 1884, 1574, 269, 1565, 785, 785, 785, 647, 211, 2343, 1378, 1174, 474, 1365, 2085, 2138, 2087, 1173, 805, 947, 359, 1423, 768, 2011, 1986, 2404, 2023, 2893, 961, 823, 1032, 2245, 1940, 817, 45, 1253, 2004, 2317, 1011, 1233, 2473, 1261, 1410, 1937, 603, 2125, 1239, 555, 1567, 381, 106, 2667, 2415, 1253, 1575, 2254, 2540, 1516, 2084, 2541, 2141, 848, 2592, 2686, 2141, 29, 2089, 2206, 1036, 3719, 3086, 1546, 2566, 3603, 37, 3597, 1449, 2632, 1290, 2075, 1814, 2575, 47, 341, 1945, 3278, 1381, 2130, 681, 2395, 1606, 1487, 1846, 2437, 269, 237, 175, 6, 2701, 1670, 1577, 348, 3591, 12, 1145, 17, 3085, 2062, 14, 2220, 399, 821, 67, 2579, 212, 2382, 37, 170, 1690, 2162, 679, 2237, 711, 1820, 2085, 777, 179, 918, 2698, 935, 2213, 3118, 3613, 390, 2695, 71, 133, 58, 519, 1405, 406, 2440, 1544, 1173, 433, 132, 1356, 275, 1319, 179, 2406, 3506, 3370, 4018, 2410, 3154, 3126, 234, 3243, 891, 1895, 152, 72, 3000, 3283, 3127, 630, 3901, 2773, 3304, 2482, 1070, 2142, 1739, 1109, 2406, 2430, 1657, 1695, 973, 3163, 4015, 2054, 43, 610, 618, 6, 2762, 1527, 205, 785, 2298, 2776, 823, 1041, 3081, 3551, 555, 3993, 1002, 1033, 3282, 1676, 2393, 2407, 446, 2043, 2388, 2393, 1477, 75, 645, 373, 636, 1296, 72, 1406, 594, 1404, 1034, 254, 3877, 338, 1432, 357, 2362, 581, 813, 534, 3132, 226, 1112, 1308, 1309, 1369, 2329, 1325, 2782, 1562, 1422, 1367, 1116, 245, 13, 310, 3099, 629, 1243, 268, 9, 2394, 1370, 2907, 1285, 598, 3930, 1394, 1368, 1626, 833, 3078, 1993, 1397, 602, 2369, 357, 2398, 2376, 1032, 1861, 758, 2185, 344, 287, 1157, 1217, 1177, 1386, 545, 89, 1237, 646, 1099, 1421, 459, 1562, 1906, 3227, 1498, 1234, 42, 1289, 1942, 1802, 1026, 3153, 3277, 2245, 2130, 2709, 419, 2108, 3381, 219, 1496, 729, 2354, 281, 1313, 3197, 1478, 1798, 3558, 4059, 1821, 2063, 2055, 525, 1371, 1062, 2735, 1706, 55, 3090, 3273, 1573, 1838, 1345, 1290, 25, 2083, 1673, 1403, 1365, 1886, 965, 504, 785, 785, 785, 821, 3170, 1129, 1713, 3894, 1109, 330, 204, 3882, 1996, 2701, 1165, 586, 1057, 667, 1433, 1354, 3626, 2699, 1701, 1343, 2665, 645, 2714, 1628, 3436, 1622, 1067, 1321, 323, 1295, 31, 101, 3434, 1818, 776, 530, 3382, 3196, 562, 3634, 1690, 2063, 37, 3150, 458, 1034, 3419, 2374, 1081, 484, 2012, 3132, 3146, 268, 2720, 85, 1513, 17, 1439 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2133, 601, 3566, 1581, 919, 2602, 1289, 313, 842, 1354, 1643, 1446, 1396, 1814, 126, 542, 1057, 653, 1930, 3979, 3548, 72, 1168, 2922, 1222, 2506, 1317, 884, 1879, 201, 10, 3207, 728, 966, 823, 124, 1402, 508, 1097, 1165, 1538, 22, 2051, 1947, 1218, 135, 2539, 158, 2053, 2830, 610, 1124, 1030, 2573, 135, 2257, 17, 3465, 1033, 1162, 3400, 3126, 1269, 2053, 3272, 2182, 1443, 2184, 1899, 2309, 3991, 154, 3115, 7, 2157, 411, 618, 1428, 3200, 344, 159, 711, 2343, 534, 1515, 620, 1400, 844, 935, 3916, 432, 675, 346, 677, 2573, 2461, 392, 136, 2693, 1036, 3169, 3125, 3854, 1190, 1164, 3746, 2172, 671, 1887, 2577, 1061, 879, 1909, 551, 2186, 2138, 1390, 482, 1097, 2581, 3795, 1351, 2553, 57, 151, 1581, 194, 1805, 867, 1344, 268, 3594, 3899, 2472, 231, 79, 202, 982, 397, 664, 37, 862, 1255, 416, 328, 3290, 1232, 3077, 200, 234, 3303, 519, 1086, 667, 3133, 913, 2715, 2583, 288, 1141, 924, 350, 1505, 1955, 1681, 1605, 349, 33, 3097, 518, 551, 551, 2071, 1167, 460, 488, 1946, 852, 75, 1943, 2249, 3355, 474, 62, 149, 2524, 2150, 350, 3098, 2165, 2455, 615, 61, 390, 2122, 1653, 1382, 3179, 1166, 2197, 3595, 102, 350, 3098, 2165, 2455, 3687, 1085, 390, 3381, 2313, 470, 3607, 1574, 1917, 862, 1438, 1337, 3710, 3243, 2322, 1470, 3683, 3590, 3582, 4012, 2105, 134, 789, 414, 101, 2087, 1558, 278, 1373, 526, 3630, 1689, 613, 398, 783, 13, 34, 3207, 12, 3671, 1847, 125, 2367, 1643, 19, 1945, 352, 3443, 926, 3167, 2492, 1435, 3246, 1441, 774, 1673, 357, 182, 3165, 1921, 1141, 8, 2565, 842, 410, 1359, 1435, 100, 1555, 2204, 3155, 100, 205, 720, 720, 251, 833, 3647, 8, 2801, 1630, 275, 1438, 2655, 327, 2650, 3702, 1185, 1429, 2886, 1581, 419, 1735, 93, 1067, 847, 360, 391, 9, 63, 1290, 3103, 396, 1444, 263, 285, 1606, 2084, 980, 17, 1432, 1929, 1222, 3275, 3516, 844, 449, 599, 107, 2930, 3867, 565, 353, 938, 2111, 3322, 187, 1798, 1808, 182, 4038, 1333, 1535, 1803, 1861, 833, 4059, 1818, 1813, 133, 859, 1184, 1394, 3081, 69, 613, 3754, 482, 37, 2069, 2311, 2650, 1549, 3998, 388, 2418, 1798, 53, 767, 2133, 325, 581, 2794, 3414, 1386, 1030, 1418, 234, 4054, 545, 3366, 3525, 775, 135, 1278, 530, 1426, 2088, 1032, 1133, 89, 3105, 321, 1029, 1225, 1033, 3384, 472, 1031, 1157, 504, 3912, 25, 3084, 1797, 1351, 38, 121, 1434, 1330, 3900, 3449, 506, 1325, 3084, 3635, 3451, 1606, 2398, 2089, 405, 807, 1100, 1378, 2443, 2847, 2201, 332, 1291, 406, 2314, 4090, 399, 29, 3302, 1137, 1062, 2961, 1201, 929, 8, 3125, 37, 1864, 1669, 1685, 736, 1254, 2408, 2400, 1868, 2175, 329, 1445, 1322, 3255, 42, 1515, 2605, 2396, 483, 2397, 154, 3359, 2588, 1678, 1694, 1434, 2095, 3696, 1378, 918, 635, 1578, 1371, 3450, 834, 3341, 262, 1325, 341, 1606, 285, 1382, 1493, 1814, 2086, 1622, 2313, 1549, 392, 886, 537, 1044, 2140, 538, 3350, 386, 3094, 481, 3144, 1378, 668, 1999, 85, 1924, 3290, 3637, 1719, 1141, 3525, 2437, 487, 546, 3929, 3100 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1128, 10, 1318, 1100, 3962, 198, 1100, 1187, 86, 1097, 1125, 549, 2313, 1610, 277, 3158, 2230, 965, 1097, 860, 2164, 2403, 373, 2185, 1109, 1481, 2889, 1238, 1614, 1369, 1034, 106, 1462, 2709, 338, 6, 457, 471, 486, 3874, 1382, 1156, 257, 3800, 851, 348, 440, 773, 2881, 3185, 3281, 478, 1913, 12, 898, 2394, 2182, 1113, 1547, 13, 2155, 294, 290, 1814, 2134, 1705, 3478, 1806, 2586, 3482, 1309, 310, 1007, 602, 1097, 2394, 2670, 1957, 393, 786, 1031, 1285, 3574, 2089, 342, 775, 2133, 2090, 1485, 2459, 1350, 3554, 1418, 1350, 1804, 2569, 277, 2389, 365, 2513, 794, 3257, 3277, 200, 2027, 2075, 651, 1701, 3727, 11, 1646, 47, 1378, 2207, 2395, 1558, 1578, 1371, 2113, 282, 15, 1571, 218, 1633, 277, 2086, 710, 459, 1398, 1226, 618, 1302, 332, 3412, 2171, 2429, 794, 1494, 1293, 1121, 26, 394, 3097, 2091, 1878, 3607, 101, 389, 2905, 785, 2591, 2377, 1098, 1097, 2222, 283, 1793, 1862, 58, 1674, 1542, 8, 942, 1044, 3321, 900, 4070, 3077, 1018, 1097, 1637, 1053, 1669, 2063, 109, 1918, 1706, 2061, 1435, 1501, 1375, 1701, 2586, 1614, 1535, 154, 1374, 1406, 1621, 21, 21, 22, 3590, 1447, 1575, 329, 2142, 2394, 523, 2385, 1501, 2396, 2654, 1694, 1886, 2383, 601, 2476, 363, 1450, 1781, 1382, 2830, 613, 2095, 1097, 2393, 1498, 1288, 1118, 2173, 3157, 265, 774, 73, 2218, 1390, 2646, 262, 1003, 141, 2887, 511, 2567, 2643, 206, 2462, 206, 2123, 336, 1569, 3429, 1253, 3279, 3092, 133, 2017, 1674, 2405, 1758, 1947, 197, 3165, 3207, 1425, 3301, 3282, 1080, 2503, 3283, 1685, 681, 169, 655, 205, 542, 1926, 333, 3783, 2601, 3424, 3422, 1426, 1431, 2325, 619, 38, 2418, 2195, 927, 1135, 1646, 1150, 2190, 2606, 2502, 2588, 19, 2110, 1403, 402, 4005, 264, 461, 785, 2044, 3868, 438, 720, 476, 562, 2467, 414, 14, 9, 378, 2669, 1626, 1810, 1606, 1033, 1868, 1097, 3290, 3419, 3522, 491, 1429, 827, 1432, 3580, 3529, 1145, 2009, 36, 2077, 1097, 1290, 352, 217, 458, 457, 1114, 285, 2849, 1041, 1739, 1181, 1482, 1124, 1307, 1378, 1828, 1290, 3927, 1099, 366, 2107, 1406, 1104, 1133, 1862, 3416, 2394, 278, 725, 2346, 2350, 2090, 2213, 2836, 2178, 21, 2312, 480, 3300, 1297, 808, 609, 92, 349, 3460, 2483, 1523, 476, 14, 2538, 1512, 2403, 1433, 1498, 1488, 346, 2373, 3154, 21, 1483, 293, 3516, 2565, 114, 2077, 219, 15, 1180, 2162, 353, 1426, 618, 278, 3549, 3337, 376, 312, 54, 782, 12, 1741, 2438, 2129, 1226, 1352, 777, 43, 3287, 1117, 297, 1138, 3618, 1880, 419, 1114, 2848, 1409, 3681, 1486, 1036, 3997, 1476, 1658, 465, 239, 165, 3090, 1316, 3, 2, 205, 1184, 655, 992, 2941, 1683, 649, 2423, 2732, 3480, 1834, 2003, 2142, 1702, 2347, 3247, 2299, 3285, 2662, 2452, 2603, 3191, 3726, 3055, 2724, 1746, 398, 1773, 2215, 2511, 555, 3954, 1579, 1191, 2382, 2863, 2690, 2873, 1757, 2447, 647, 651, 625, 2103, 625, 1574, 2406, 873, 2437, 1641, 1462, 1199, 426, 966, 2464, 1547, 3866, 2402, 1355, 3407, 3653, 1755, 1564, 2426, 1632, 1371, 2073, 2486, 2090, 625, 2599, 2620, 1635, 145, 2530 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 881, 3380, 1502, 2129, 2522, 3405, 1837, 3351, 1743, 559, 891, 2021, 2254, 3560, 1746, 286, 3421, 1126, 3362, 1184, 674, 1184, 653, 1687, 1444, 2152, 2682, 3579, 3297, 2392, 1051, 1878, 1115, 1882, 2534, 3427, 1345, 1497, 3087, 2565, 2521, 1514, 3996, 598, 1834, 2507, 542, 2156, 1405, 1575, 2330, 3868, 558, 9, 2341, 2854, 3172, 1882, 969, 375, 1029, 2634, 394, 1062, 3859, 590, 1322, 1476, 412, 1492, 1368, 1366, 357, 1559, 3093, 2170, 3465, 1383, 1653, 745, 645, 346, 2430, 1625, 842, 313, 1116, 2473, 142, 46, 47, 1167, 1286, 2693, 2709, 405, 1450, 174, 15, 1039, 2311, 2629, 2709, 681, 745, 170, 47, 1067, 1039, 263, 2893, 2693, 665, 38, 39, 1040, 2054, 2375, 2373, 2645, 681, 110, 601, 607, 2011, 1372, 2907, 1243, 1335, 1804, 263, 13, 1554, 2122, 1833, 2053, 2181, 2579, 1435, 1482, 2437, 3676, 508, 240, 219, 1313, 3418, 2010, 1803, 277, 2113, 910, 601, 2395, 843, 1756, 987, 1242, 1098, 2073, 1165, 1830, 2363, 282, 2207, 3088, 2319, 202, 2410, 3674, 1042, 393, 2326, 1483, 2311, 581, 2629, 2455, 681, 1135, 783, 1030, 2831, 2629, 2773, 2444, 174, 30, 1039, 2823, 2885, 2709, 618, 174, 47, 1543, 2311, 2629, 2648, 429, 154, 11, 1035, 2346, 1278, 1729, 440, 1524, 1432, 1433, 1949, 457, 2181, 3614, 870, 353, 2085, 435, 1073, 859, 1434, 363, 66, 1484, 3528, 2565, 1433, 1850, 1426, 3420, 114, 1293, 968, 2199, 1383, 1605, 713, 647, 362, 2430, 1621, 858, 313, 1116, 2473, 158, 14, 1038, 2343, 2117, 1701, 169, 30, 175, 1039, 2439, 2629, 2709, 665, 79, 31, 1039, 2311, 2629, 2581, 681, 174, 43, 1295, 2311, 2645, 661, 457, 892, 1114, 3618, 1400, 2157, 1403, 398, 1341, 1558, 2151, 1882, 301, 1387, 394, 1894, 2202, 546, 1345, 1227, 1932, 2170, 3606, 1506, 1818, 2108, 356, 930, 1841, 3659, 1992, 903, 2507, 477, 167, 1743, 2772, 1746, 785, 2151, 2203, 669, 2603, 3495, 3323, 3298, 2662, 2470, 2220, 651, 625, 1574, 2208, 688, 992, 891, 1423, 1674, 389, 2605, 2486, 2447, 620, 2657, 881, 3357, 2589, 2605, 2487, 1977, 2486, 3080, 2408, 938, 2406, 1725, 2439, 2253, 2488, 2232, 3125, 200, 621, 3662, 2208, 654, 2043, 3223, 862, 1055, 3501, 298, 2930, 1353, 851, 471, 1421, 1376, 13, 858, 1129, 3417, 1459, 814, 1914, 2359, 2396, 1054, 3866, 2458, 406, 1593, 1426, 360, 2396, 1436, 352, 1358, 378, 2142, 3403, 428, 2521, 2210, 1878, 2170, 1415, 1499, 186, 1150, 1442, 1142, 3489, 3388, 84, 1388, 972, 3928, 850, 3381, 1437, 3363, 1276, 376, 1121, 1481, 3183, 1432, 338, 1886, 1059, 2332, 2398, 3173, 2549, 1400, 2705, 2139, 1983, 2056, 3547, 3189, 478, 3117, 2314, 2360, 370, 3238, 3373, 982, 2012, 2305, 3802, 2026, 1066, 3446, 1749, 1964, 1346, 1259, 1757, 508, 376, 1412, 596, 1294, 3896, 1644, 1524, 2023, 1334, 1530, 117, 2426, 3480, 3925, 1354, 3302, 3462, 2219, 1793, 362, 1132, 373, 1434, 3414, 1614, 3450, 1187, 412, 1310, 3518, 1050, 2344, 1434, 2426, 625, 2607, 866, 2557, 567, 1917, 440, 1132, 1882, 347, 1897, 1323, 3244, 1579, 3243, 664, 1950, 3592, 930, 3458, 2876, 1367, 1883, 1948 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 91, 3930, 2534, 3431, 1333, 2537, 3111, 653, 674, 1123, 1534, 1834, 887, 1953, 1574, 2422, 1880, 2151, 166, 1526, 1829, 2653, 3369, 2097, 2166, 894, 1346, 1290, 3161, 15, 1110, 2197, 553, 187, 45, 1231, 2567, 1349, 661, 425, 2392, 2416, 3099, 3939, 3934, 862, 1102, 2081, 1165, 38, 2363, 282, 3223, 31, 3655, 2078, 1621, 586, 313, 1116, 2473, 142, 46, 47, 1167, 2310, 2693, 2709, 105, 430, 46, 47, 1039, 2311, 2631, 3397, 2645, 617, 174, 1182, 111, 1039, 3367, 2629, 2645, 41, 174, 51, 15, 1295, 1287, 2381, 2721, 425, 2389, 2413, 854, 1379, 3422, 858, 1102, 3105, 1037, 38, 2107, 282, 3223, 7, 519, 2110, 1630, 1819, 1544, 2401, 2017, 945, 862, 1064, 1372, 3420, 130, 269, 968, 2199, 1358, 3443, 3179, 3448, 3417, 3417, 1117, 393, 2188, 542, 870, 349, 2453, 958, 165, 94, 1635, 1433, 214, 2130, 282, 3182, 142, 46, 43, 1166, 2310, 2693, 661, 109, 686, 47, 1070, 455, 2629, 1689, 689, 178, 47, 1039, 2311, 1349, 2457, 681, 142, 46, 47, 1167, 2310, 2693, 2581, 105, 430, 46, 1295, 2311, 2885, 2645, 2965, 665, 166, 158, 48, 1039, 3367, 2629, 2645, 169, 174, 51, 15, 1293, 1287, 2376, 2717, 425, 2389, 2416, 3418, 2390, 3422, 858, 1098, 3105, 1037, 38, 2107, 282, 3223, 13, 2063, 234, 2410, 3166, 2067, 1398, 3957, 3765, 3418, 3930, 3104, 1095, 245, 3625, 2391, 1376, 3870, 3937, 3934, 858, 283, 102, 550, 3147, 1038, 1115, 877, 51, 1069, 795, 1514, 2373, 2332, 277, 2646, 1367, 1882, 1817, 1882, 994, 986, 1234, 2826, 3418, 1353, 3286, 1385, 3354, 1416, 1369, 2170, 2038, 1562, 3862, 129, 3611, 2003, 13, 3207, 1299, 1937, 902, 2808, 709, 231, 3394, 3509, 2855, 2223, 2018, 1856, 557, 300, 761, 348, 819, 153, 1484, 1377, 794, 2566, 511, 2247, 1387, 2338, 1292, 255, 2087, 3418, 205, 1097, 1242, 1346, 2146, 1079, 2632, 2404, 3326, 367, 1355, 1118, 3434, 4051, 19, 2532, 811, 2649, 3270, 362, 2375, 1614, 2475, 1498, 1149, 1482, 1622, 1547, 474, 1886, 1612, 396, 1400, 1054, 1634, 1274, 1218, 1437, 1348, 1304, 458, 1240, 383, 2716, 2370, 1116, 1270, 1629, 1633, 1499, 1292, 2362, 2360, 1257, 337, 609, 1112, 265, 3945, 1961, 2584, 3370, 3402, 1806, 393, 3192, 2644, 2137, 776, 148, 1278, 2129, 1022, 2362, 1225, 2370, 3113, 389, 2422, 70, 3619, 1362, 2369, 1387, 3995, 1730, 1130, 926, 230, 1016, 1395, 3085, 2576, 3402, 2581, 1336, 1400, 1464, 194, 1737, 527, 1257, 1385, 3180, 2333, 1610, 1697, 3095, 2632, 2679, 3674, 331, 1498, 1573, 2445, 374, 1814, 1945, 2394, 3422, 1354, 1418, 586, 1322, 917, 357, 1261, 1339, 1123, 3531, 2869, 2402, 3099, 3183, 1084, 2533, 2511, 1625, 1400, 886, 532, 1378, 3549, 367, 1036, 2154, 477, 1496, 2137, 994, 2078, 100, 3573, 1513, 523, 972, 2013, 3270, 584, 1555, 2108, 1801, 3932, 3554, 1431, 1055, 1037, 322, 1046, 3590, 2058, 3013, 1799, 1102, 232, 249, 211, 530, 3141, 137, 117, 581, 392, 3116, 1554, 3601, 577, 213, 648, 2197, 3348, 1184, 3768, 2122, 597, 322, 2873, 3095, 1029, 2213, 1379, 529, 581, 2055, 3112, 846, 55, 721, 1405 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2081, 181, 568, 2457, 12, 4053, 1530, 2364, 3231, 1547, 2136, 2318, 133, 2438, 2106, 430, 805, 1226, 2247, 2059, 109, 2400, 1813, 1819, 1557, 2391, 2203, 2315, 1546, 1418, 3189, 557, 406, 1034, 2085, 3643, 1037, 1672, 3484, 3992, 105, 2059, 1653, 338, 2011, 38, 1419, 39, 1305, 4097, 3090, 2309, 1546, 1414, 1817, 3089, 24, 2133, 3115, 2309, 2248, 3855, 486, 1301, 600, 2366, 53, 2260, 109, 2629, 2631, 2591, 1553, 604, 200, 590, 2101, 2081, 781, 1560, 133, 616, 6, 2117, 680, 29, 1301, 600, 2060, 310, 2374, 201, 136, 1405, 3125, 389, 1413, 1437, 549, 2093, 3078, 3593, 3083, 1077, 2709, 1133, 3383, 61, 201, 1380, 3589, 137, 834, 2330, 291, 78, 969, 2709, 1537, 17, 1030, 197, 3523, 3597, 2603, 4062, 1008, 849, 59, 3304, 2475, 1403, 541, 2487, 1428, 2643, 924, 3512, 1258, 2459, 1690, 351, 2446, 2858, 2367, 3299, 1154, 2873, 1183, 1499, 2448, 2942, 2602, 3178, 2288, 837, 1199, 3286, 605, 1902, 1690, 3175, 775, 1747, 1247, 622, 2046, 775, 3493, 3448, 1669, 215, 1482, 2220, 1030, 105, 125, 844, 3363, 125, 485, 124, 17, 1269, 209, 2369, 486, 3080, 298, 3086, 233, 125, 1797, 532, 3669, 130, 1030, 2364, 1309, 3281, 3579, 3393, 1290, 1834, 285, 843, 313, 1116, 425, 138, 46, 43, 1167, 2310, 2693, 661, 110, 686, 47, 1063, 2311, 2629, 1429, 689, 166, 47, 1039, 2311, 2129, 1685, 681, 176, 45, 1227, 2311, 2630, 2638, 1294, 1649, 420, 1524, 1432, 1369, 1949, 713, 2181, 1566, 870, 353, 2325, 419, 1069, 924, 1436, 363, 62, 1484, 3528, 2508, 1433, 1850, 1380, 1377, 441, 1061, 2835, 590, 1322, 1412, 416, 1492, 1432, 1366, 357, 1687, 545, 2169, 3465, 1383, 693, 745, 648, 362, 2431, 1621, 843, 313, 1116, 425, 142, 1070, 43, 1167, 2310, 2693, 661, 109, 686, 47, 1071, 2502, 2629, 1685, 417, 178, 47, 1039, 2327, 1621, 2709, 682, 46, 1057, 1108, 1542, 1055, 1079, 2206, 2437, 1080, 438, 1874, 601, 4061, 95, 520, 2461, 103, 649, 3157, 1242, 2057, 233, 133, 22, 1093, 837, 805, 3091, 85, 868, 1372, 360, 458, 204, 1794, 1348, 27, 1601, 75, 777, 3382, 2365, 3334, 1270, 1110, 1807, 361, 3111, 29, 2313, 1042, 177, 1852, 1459, 14, 2089, 1945, 313, 1483, 2574, 2460, 1035, 2641, 584, 2109, 1301, 1602, 1481, 861, 2632, 1056, 745, 3623, 405, 3154, 1682, 81, 1193, 996, 3607, 2329, 661, 104, 3433, 3410, 1182, 14, 906, 199, 105, 801, 778, 2310, 281, 1621, 2306, 1393, 1614, 93, 1669, 1705, 465, 430, 47, 136, 777, 616, 545, 1341, 200, 29, 469, 3085, 453, 2072, 857, 3089, 1630, 2312, 3851, 1677, 4058, 1951, 2101, 1032, 789, 1077, 1346, 2311, 119, 2117, 101, 1096, 1685, 38, 3460, 2653, 1333, 321, 3090, 1668, 2502, 1525, 411, 13, 1545, 867, 3514, 2855, 2355, 2074, 2782, 2566, 1947, 1939, 1298, 1900, 1891, 1681, 491, 2118, 2469, 294, 1605, 2169, 207, 1029, 809, 3078, 617, 2057, 517, 1835, 1029, 2327, 2310, 2131, 1032, 2273, 32, 994, 398, 1071, 1039, 2311, 2129, 1701, 604, 46, 23, 1178, 1002, 2805, 1730, 1974, 1618, 1622, 3694, 140, 1070, 1037 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2311, 2565, 2373, 2711, 169, 178, 111, 1055, 2567, 2631, 2710, 681, 170, 681, 14, 1118, 3087, 2383, 2629, 2645, 681, 174, 78, 47, 1039, 1286, 2629, 2709, 681, 169, 1198, 1134, 585, 607, 4042, 3043, 333, 866, 1102, 2081, 1165, 806, 2363, 282, 159, 16, 2063, 106, 2410, 606, 2067, 1398, 3961, 3733, 3494, 3, 2, 1193, 3859, 3780, 65, 136, 758, 1996, 487, 3290, 2923, 2637, 3718, 3213, 431, 3971, 2637, 2206, 174, 621, 607, 1513, 2240, 3346, 1513, 1642, 3174, 3174, 3620, 1535, 585, 190, 1574, 3973, 77, 1282, 1489, 198, 3686, 3876, 1433, 1294, 277, 1512, 3129, 2000, 1315, 3017, 1352, 782, 3550, 881, 23, 624, 3236, 821, 1341, 131, 50, 3528, 2277, 2078, 87, 2101, 3670, 262, 1412, 3206, 3090, 850, 847, 188, 455, 3412, 3139, 68, 151, 3281, 954, 1448, 2408, 2064, 2646, 2086, 2055, 2285, 363, 503, 653, 2234, 3168, 1381, 2139, 1671, 3143, 359, 2165, 663, 3278, 2032, 3256, 2417, 1786, 3573, 1406, 1453, 2654, 1386, 856, 414, 777, 327, 149, 1145, 1161, 1318, 334, 924, 3260, 1494, 2152, 414, 633, 1164, 3186, 3542, 454, 487, 2522, 3099, 1602, 1823, 562, 280, 1145, 1292, 1546, 1054, 3061, 2330, 3606, 1402, 1305, 3755, 1306, 1146, 1396, 1335, 3096, 1998, 1922, 2426, 410, 69, 3341, 64, 1349, 13, 1297, 941, 2068, 37, 941, 1346, 3905, 3189, 716, 3114, 2427, 1501, 3020, 821, 284, 3281, 650, 3896, 61, 3289, 2431, 91, 3099, 1848, 2833, 3768, 364, 1401, 3428, 460, 80, 378, 2170, 2650, 415, 794, 2885, 1467, 89, 823, 3160, 2450, 1317, 1746, 2262, 288, 85, 637, 3322, 1538, 3439, 3277, 1833, 3862, 3933, 263, 868, 100, 2933, 98, 792, 3400, 2390, 605, 102, 3595, 3288, 1654, 394, 1324, 630, 1678, 3926, 2617, 3719, 1145, 2940, 374, 1913, 3338, 1723, 1495, 1401, 868, 3434, 364, 2534, 1534, 368, 1900, 463, 1402, 1375, 1379, 922, 3409, 3485, 1361, 1676, 1642, 1946, 100, 1573, 1947, 1444, 1366, 1939, 3847, 3929, 1479, 49, 811, 1356, 3361, 351, 2022, 2522, 2106, 1178, 2309, 2689, 864, 3622, 3304, 1450, 1333, 2266, 3415, 1287, 2401, 2990, 1404, 1188, 1093, 2670, 3742, 1643, 418, 1428, 2417, 1447, 2653, 1111, 883, 87, 41, 3549, 465, 3119, 96, 401, 3916, 2398, 2410, 3207, 213, 837, 2306, 1442, 1439, 607, 1366, 3930, 3930, 3080, 1798, 2390, 3525, 3437, 1370, 1882, 84, 353, 3157, 1849, 341, 72, 1855, 1113, 4014, 55, 5, 110, 154, 1502, 1370, 325, 2309, 1128, 3942, 3161, 2078, 1306, 1386, 3150, 1382, 3162, 860, 1029, 12, 1093, 393, 165, 1063, 2118, 1030, 2133, 3101, 1226, 2140, 1368, 1350, 139, 90, 1057, 2390, 1034, 454, 2313, 613, 89, 1809, 2392, 330, 1494, 29, 30, 71, 583, 1877, 2246, 2377, 30, 1050, 87, 529, 1370, 269, 1286, 2965, 26, 277, 441, 165, 1047, 2729, 346, 1285, 9, 3866, 2250, 120, 1050, 9, 888, 2698, 1279, 2376, 517, 1031, 2765, 3274, 2466, 3525, 2709, 281, 29, 3139, 67, 603, 1301, 1101, 3282, 190, 1662, 2154, 1424, 1672, 3709, 2745, 2494, 2626, 2009, 794, 1242, 667, 3695, 1630, 1630, 1626, 2698, 1109, 1370, 566, 1889, 1438, 2410, 2462 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 638, 3177, 1802, 2361, 1306, 1718, 90, 2382, 3486, 1627, 1661, 3270, 1401, 4028, 965, 61, 869, 3202, 234, 1371, 1374, 1425, 3369, 1418, 1114, 1506, 886, 2542, 1914, 1498, 144, 1372, 1285, 106, 3650, 3130, 1170, 1809, 3600, 3078, 1217, 1749, 549, 2160, 1062, 3490, 2163, 2594, 2845, 2006, 1310, 2389, 28, 1466, 3350, 3102, 2123, 620, 1369, 2026, 374, 3397, 3349, 2119, 261, 49, 1366, 1353, 1130, 1306, 280, 1442, 1434, 1402, 3189, 282, 3690, 1303, 290, 1513, 908, 1882, 1430, 2062, 1815, 1033, 58, 1505, 1626, 118, 1013, 407, 599, 3867, 610, 1955, 1956, 1126, 1949, 775, 1988, 1826, 3798, 3233, 1184, 1953, 1859, 784, 2006, 2214, 2107, 2212, 1131, 1641, 2337, 3191, 1827, 3486, 3128, 1383, 3027, 1233, 2021, 1849, 2678, 2094, 2145, 2463, 1997, 2913, 2395, 1425, 3943, 931, 1648, 1127, 1828, 1950, 1922, 1889, 2534, 1812, 1884, 1917, 3233, 3234, 3688, 3595, 1636, 1800, 3160, 3746, 1399, 1893, 2102, 3880, 3546, 2657, 3669, 3937, 2017, 3907, 3357, 3098, 2616, 3942, 1845, 1941, 1894, 2179, 2237, 1857, 1694, 2676, 1826, 1602, 1327, 1797, 4087, 851, 1387, 1956, 1645, 3020, 3994, 2206, 2213, 1379, 1078, 3363, 1445, 3428, 1899, 1803, 1030, 3201, 3326, 3588, 1845, 2410, 1819, 1927, 2245, 503, 3237, 44, 3695, 2862, 3603, 3586, 1499, 862, 3404, 173, 1297, 1057, 1549, 2425, 1804, 401, 969, 930, 4017, 1880, 787, 1529, 1425, 1811, 2764, 776, 865, 2041, 170, 1825, 956, 1571, 998, 3995, 2545, 3376, 2459, 1477, 1825, 1627, 599, 2151, 2637, 2547, 834, 700, 1489, 610, 456, 3503, 1484, 274, 492, 2281, 1589, 636, 424, 763, 2401, 1950, 734, 2321, 1819, 2790, 2509, 1021, 3934, 1518, 1787, 3550, 1388, 3380, 1385, 2553, 1800, 1601, 1572, 3497, 588, 1708, 3525, 776, 418, 477, 60, 1937, 3884, 1562, 3876, 3345, 136, 808, 2004, 475, 2428, 3337, 2524, 2340, 1539, 1995, 861, 1581, 780, 3374, 1841, 337, 968, 2000, 2191, 2971, 3565, 1810, 1388, 1643, 2780, 1468, 1516, 1798, 3603, 1266, 2511, 1453, 924, 1224, 3481, 835, 2029, 876, 681, 2011, 1149, 2084, 210, 2556, 909, 1500, 2300, 2552, 159, 540, 26, 3549, 971, 1416, 345, 2044, 3572, 285, 1250, 2251, 2524, 1394, 1208, 808, 1628, 834, 2431, 3884, 1825, 3346, 2725, 519, 527, 3482, 548, 237, 3237, 2004, 507, 1256, 1005, 1484, 255, 3616, 3494, 2508, 685, 799, 3181, 795, 1512, 210, 1538, 4045, 971, 1517, 773, 1668, 2908, 3244, 557, 2307, 2573, 2020, 1485, 1913, 1016, 1938, 609, 453, 1556, 616, 2012, 2562, 1670, 4074, 2068, 251, 2392, 2260, 13, 1848, 4062, 3404, 994, 3532, 1507, 1676, 2508, 2079, 568, 3196, 3473, 1822, 2088, 2101, 3309, 1612, 2151, 157, 3053, 937, 3227, 1491, 3034, 548, 1745, 1160, 2220, 1016, 2392, 3317, 1613, 3554, 1803, 787, 3575, 482, 1480, 35, 67, 2293, 2987, 1613, 541, 238, 667, 2532, 1746, 2140, 3422, 2299, 917, 4076, 2094, 2295, 238, 1451, 892, 1884, 650, 4045, 1826, 2412, 435, 1489, 2558, 2196, 2545, 2148, 1260, 285, 3857, 3080, 3425, 919, 33, 2471, 1644, 332, 205, 98, 244, 137, 3694, 2318, 2398, 2065, 2457, 1647, 1624, 3682, 1308, 1421, 1372, 360, 599, 684 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1370, 3431, 1626, 1179, 311, 2333, 360, 1238, 1881, 1176, 1490, 1114, 2522, 2119, 1498, 1372, 1438, 1740, 711, 3497, 955, 3142, 46, 2440, 1653, 3705, 1498, 1046, 828, 781, 22, 2299, 538, 1515, 1500, 866, 1438, 1878, 3230, 2194, 2042, 2377, 317, 3610, 1427, 2273, 344, 1287, 2096, 3933, 787, 350, 984, 1697, 3682, 1475, 1391, 412, 1112, 2584, 360, 2654, 984, 1697, 3682, 1373, 3115, 1627, 2170, 949, 2581, 388, 2386, 1176, 1122, 3440, 2091, 347, 1631, 1434, 387, 538, 524, 1502, 1366, 1386, 1818, 2102, 3563, 358, 3481, 3148, 1130, 1039, 42, 1427, 1550, 781, 1894, 2987, 137, 3576, 392, 18, 3980, 1836, 1400, 1365, 3081, 3973, 77, 1878, 58, 1928, 1355, 639, 1329, 856, 403, 582, 1453, 2446, 1957, 126, 73, 22, 4039, 54, 586, 3172, 364, 2252, 5, 994, 2950, 2157, 600, 3614, 1818, 1876, 3229, 409, 507, 2138, 1922, 3876, 3951, 1306, 3675, 1482, 2073, 838, 2938, 3804, 1502, 2030, 3713, 2197, 3879, 2141, 1675, 605, 2150, 1566, 1689, 2338, 487, 2198, 102, 2151, 1110, 1178, 3077, 14, 2378, 3851, 1334, 1865, 102, 2118, 2520, 1822, 1756, 1378, 1350, 37, 453, 777, 1445, 3542, 201, 521, 861, 383, 410, 1049, 3549, 1632, 669, 107, 1626, 1174, 1371, 1690, 3205, 3391, 3261, 2154, 1370, 1371, 2151, 1370, 318, 1517, 1118, 2334, 1917, 1354, 2410, 2127, 394, 3612, 2391, 1634, 1381, 330, 2009, 1029, 1018, 473, 1813, 1498, 3084, 206, 2582, 1429, 406, 2854, 1798, 1161, 1494, 1102, 1421, 2431, 2702, 53, 2327, 713, 1289, 3409, 1369, 1370, 898, 2011, 2316, 1997, 271, 41, 1390, 2218, 1371, 422, 709, 845, 3482, 610, 98, 1420, 1634, 1430, 2569, 1125, 1894, 3485, 649, 1122, 1372, 1652, 501, 533, 3678, 86, 430, 2153, 167, 508, 1377, 1114, 3373, 1362, 4065, 3318, 3146, 1929, 3917, 85, 69, 1391, 10, 29, 3077, 970, 989, 900, 2085, 2006, 1001, 1450, 1514, 1043, 2401, 1134, 2447, 1641, 1445, 358, 2402, 3515, 2062, 61, 2137, 1132, 1577, 1058, 1286, 1879, 1497, 3350, 3203, 1672, 417, 2573, 785, 1109, 3210, 277, 1923, 1363, 28, 293, 325, 2333, 1805, 81, 2412, 2124, 1703, 653, 325, 577, 118, 2102, 1617, 3572, 225, 3097, 1919, 1047, 1398, 276, 1654, 3919, 2208, 1054, 3182, 1563, 2074, 1498, 538, 1444, 1345, 353, 1318, 1378, 1537, 1336, 5, 819, 266, 2122, 1362, 3418, 3842, 1861, 901, 1957, 1805, 2903, 342, 1618, 2326, 474, 3802, 1834, 1546, 2573, 1813, 1174, 486, 535, 523, 519, 509, 125, 522, 1415, 1286, 37, 1545, 1621, 1659, 3234, 3461, 3222, 3889, 2401, 1029, 693, 867, 3437, 2404, 1397, 984, 74, 1237, 826, 3537, 200, 17, 1041, 248, 3723, 73, 1126, 866, 1676, 3447, 505, 2214, 1561, 1801, 1858, 2443, 2106, 1377, 57, 1116, 350, 1289, 2122, 2715, 3421, 1046, 220, 1368, 261, 3634, 793, 781, 1354, 1349, 218, 165, 1333, 209, 2342, 73, 326, 2117, 1305, 22, 1097, 355, 261, 609, 37, 2377, 1493, 133, 90, 3941, 37, 52, 502, 1116, 294, 897, 3258, 3170, 1236, 1347, 1169, 518, 3079, 2863, 518, 2077, 352, 29, 1825, 2133, 1465, 1066, 1432, 1970, 2399, 2433, 91, 1438, 1370, 1916, 3094 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 330, 618, 1097, 56, 3101, 1117, 1419, 1289, 2177, 61, 54, 3226, 3190, 1446, 1541, 263, 1096, 118, 11, 2757, 454, 1031, 1357, 737, 2727, 1781, 405, 2058, 1435, 1368, 1174, 2018, 1321, 1122, 1528, 1865, 483, 2210, 353, 2396, 1813, 3317, 298, 1525, 44, 1462, 3230, 401, 2017, 993, 2449, 2086, 785, 985, 2387, 1627, 464, 488, 2702, 1417, 331, 282, 3095, 1045, 1285, 1909, 224, 3421, 39, 421, 1245, 1365, 831, 21, 2568, 17, 213, 1150, 2390, 73, 525, 588, 1822, 533, 588, 2897, 345, 1597, 1895, 2549, 535, 3434, 2396, 162, 345, 1030, 1078, 3130, 1033, 2837, 2937, 804, 3666, 1402, 1481, 1429, 2037, 3448, 3090, 1672, 1916, 3101, 93, 2938, 3893, 4085, 69, 3893, 763, 2718, 3587, 2585, 3055, 22, 1881, 1370, 2504, 9, 3848, 2058, 3575, 2816, 3569, 1921, 1918, 1913, 474, 1058, 1349, 1957, 1372, 1630, 1365, 5, 6, 1921, 2471, 1365, 3164, 1454, 21, 83, 1434, 2455, 2853, 1886, 1367, 2139, 1372, 2430, 1482, 646, 1750, 3431, 1290, 919, 3083, 3369, 2518, 1237, 3542, 1098, 2337, 1611, 290, 3970, 3608, 1522, 380, 1522, 994, 2954, 1164, 149, 1541, 3154, 3893, 3, 2, 3104, 2776, 2362, 2711, 732, 426, 2205, 3177, 2666, 2599, 3318, 3679, 1253, 2826, 2694, 2213, 2662, 2150, 2662, 2150, 2405, 3283, 1448, 1234, 1739, 2268, 3165, 3190, 1621, 256, 2506, 1829, 2483, 2288, 350, 1573, 3063, 2841, 3110, 2883, 3926, 775, 3720, 1744, 3793, 3416, 2398, 2522, 1870, 1630, 1544, 1137, 2754, 1623, 633, 884, 1630, 1219, 1878, 2226, 3480, 853, 3058, 3057, 2922, 1682, 2142, 3777, 3163, 2946, 1598, 1842, 182, 1967, 1002, 2349, 3808, 2784, 2414, 2207, 658, 2411, 1453, 768, 3522, 4045, 2204, 348, 640, 3808, 1758, 2587, 3524, 850, 3454, 124, 2959, 4052, 828, 768, 1270, 203, 3849, 3085, 133, 533, 53, 3418, 1370, 2020, 3317, 705, 513, 3272, 969, 892, 3745, 2145, 1840, 3836, 733, 2511, 3356, 3314, 1410, 2695, 4022, 1136, 1297, 2759, 2078, 2404, 1650, 1239, 1313, 1287, 1877, 5, 2662, 90, 1562, 429, 37, 669, 149, 54, 1161, 69, 2665, 60, 566, 2043, 83, 24, 1525, 282, 1242, 1115, 345, 938, 2106, 1322, 2399, 122, 1034, 1502, 1417, 925, 3227, 3501, 3163, 381, 1619, 565, 890, 1817, 95, 1656, 139, 1642, 1577, 949, 411, 2858, 1737, 2394, 1807, 1578, 1629, 1458, 1594, 1235, 2487, 102, 3015, 1754, 3087, 1641, 1730, 1429, 1864, 1829, 1435, 2347, 606, 1630, 1630, 1630, 1630, 1548, 1310, 1694, 3488, 2382, 1382, 16, 352, 691, 986, 56, 33, 3102, 2057, 26, 1797, 1221, 809, 4058, 243, 1079, 156, 3089, 3841, 3298, 25, 155, 646, 2470, 1964, 1534, 1784, 5, 1963, 2308, 1471, 153, 2783, 1781, 857, 170, 1787, 1056, 2760, 2348, 505, 103, 3020, 366, 402, 351, 1632, 428, 925, 2560, 952, 460, 2508, 3596, 493, 606, 3011, 824, 912, 926, 1567, 3277, 642, 197, 1865, 2074, 3702, 1182, 270, 2535, 2203, 454, 1497, 1578, 2074, 2828, 1882, 2634, 2405, 3427, 2458, 2413, 3340, 1721, 1018, 490, 1240, 233, 349, 1526, 386, 272, 1129, 3701, 1524, 1466, 1657, 2679, 3189, 348, 353, 1816, 2118, 2551, 244, 1472, 3950, 2112, 1367 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2427, 1443, 2918, 1090, 3163, 2136, 90, 3998, 1502, 2440, 1375, 2908, 11, 1153, 1433, 1660, 523, 2422, 1037, 105, 3660, 1621, 2083, 1374, 3449, 1532, 3152, 1310, 3437, 2165, 1293, 13, 1229, 9, 1375, 406, 1484, 2920, 55, 1882, 157, 1258, 1366, 3465, 3980, 2552, 2094, 2016, 1015, 787, 1374, 1506, 333, 99, 1514, 134, 2341, 2187, 981, 1508, 2358, 670, 3113, 1046, 1443, 587, 2858, 1389, 1303, 2630, 3867, 1302, 3932, 2409, 709, 3877, 1638, 642, 3622, 868, 1706, 1625, 1819, 353, 98, 3338, 518, 3078, 1316, 116, 1356, 198, 794, 2297, 3675, 1917, 1481, 3674, 1808, 1416, 1482, 3157, 2393, 3770, 2330, 2362, 1690, 2156, 2460, 3081, 1123, 3355, 2394, 610, 1833, 3180, 326, 2263, 1884, 1642, 1441, 3911, 595, 1858, 87, 1388, 346, 3974, 1892, 2088, 3784, 1494, 2523, 2197, 1977, 2525, 101, 1155, 2455, 2172, 3479, 1436, 904, 2556, 225, 423, 2663, 475, 2138, 2476, 1343, 2591, 1530, 2492, 803, 1983, 53, 200, 1537, 314, 2215, 14, 1674, 2728, 1779, 463, 1305, 3589, 3273, 1958, 3618, 2415, 417, 1429, 3275, 2200, 967, 2564, 1036, 157, 1562, 1873, 1119, 1493, 2390, 1443, 1416, 2619, 1386, 1099, 4047, 1098, 350, 1436, 1502, 2088, 2185, 122, 1377, 1827, 74, 2009, 1178, 1566, 3911, 1566, 599, 1373, 3719, 2354, 1809, 3332, 3130, 3238, 117, 3881, 2849, 3319, 92, 3208, 1840, 1615, 1622, 3259, 3349, 2068, 1401, 859, 1438, 3944, 3702, 3997, 1946, 1352, 1369, 1798, 604, 1632, 1370, 2301, 803, 138, 2530, 4084, 2758, 1304, 869, 668, 234, 2546, 2170, 2112, 3612, 1452, 492, 1438, 2835, 4058, 2395, 3381, 1155, 241, 252, 2321, 236, 2153, 993, 2059, 1129, 475, 1772, 1531, 489, 2649, 1400, 3126, 1865, 2330, 1369, 2504, 1113, 2329, 1371, 347, 530, 3741, 22, 349, 3946, 1411, 161, 1051, 879, 838, 1514, 1654, 1617, 517, 3134, 3403, 3972, 605, 162, 1798, 2069, 2822, 1658, 2850, 1087, 1814, 236, 3298, 3491, 3171, 1955, 674, 1890, 3216, 1437, 3346, 1687, 1317, 1370, 1519, 1644, 1580, 1036, 809, 1388, 1757, 1894, 3289, 1849, 1829, 2714, 1388, 1390, 1937, 3525, 321, 2538, 2598, 1526, 394, 3417, 1645, 3078, 3243, 1387, 1145, 3934, 1878, 3373, 1202, 1386, 1877, 1305, 1685, 1890, 473, 342, 2325, 1110, 2520, 1601, 37, 1899, 1873, 1145, 1326, 1636, 1537, 3090, 386, 1732, 3201, 3294, 3589, 566, 1602, 1428, 172, 203, 577, 1502, 3198, 3417, 3870, 390, 2461, 3399, 2141, 2297, 1836, 566, 326, 2650, 3082, 2060, 338, 1403, 87, 2130, 2142, 426, 503, 1670, 2236, 378, 1362, 354, 1370, 4057, 3461, 3419, 1378, 1351, 1436, 1353, 2327, 1634, 798, 1474, 3566, 1068, 3335, 2406, 2919, 1509, 458, 3608, 2285, 1260, 1015, 1206, 2763, 1869, 3426, 1438, 2459, 1412, 3276, 3466, 2511, 1928, 3437, 3355, 348, 132, 230, 1149, 538, 1444, 798, 3461, 937, 2524, 1931, 3091, 173, 40, 2152, 878, 2692, 859, 1437, 1597, 91, 273, 2638, 2370, 1421, 505, 1322, 2069, 442, 1227, 1992, 3612, 1702, 1482, 2577, 1401, 3528, 39, 2045, 3686, 3527, 1060, 1681, 3416, 379, 1676, 2266, 465, 3681, 804, 267, 1217, 146, 231, 386, 1357, 234, 1883, 3562, 1407, 1882, 3671, 12, 339, 1130 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1820, 3342, 517, 1946, 3418, 2674, 1433, 386, 1643, 1516, 2165, 844, 27, 1863, 274, 1146, 3606, 3676, 357, 740, 2181, 865, 1619, 2129, 2010, 2677, 6, 2078, 1935, 3207, 1874, 1420, 2359, 1884, 2631, 102, 2518, 3931, 1320, 14, 58, 1880, 337, 785, 3400, 373, 2233, 1143, 1067, 3417, 604, 3211, 1148, 1281, 1405, 1578, 4002, 1402, 3557, 1123, 2106, 1665, 1845, 3545, 2385, 1321, 2128, 1818, 1696, 1659, 135, 1124, 4028, 2183, 2651, 1432, 2245, 671, 26, 344, 510, 1845, 1498, 208, 1996, 1355, 133, 2401, 1838, 2705, 1398, 2776, 804, 3563, 2130, 236, 3976, 3090, 1883, 2409, 2274, 3402, 2017, 1087, 788, 759, 603, 404, 1903, 2517, 1139, 3732, 393, 2476, 1073, 3854, 2198, 2387, 1155, 977, 3274, 2046, 1581, 641, 1406, 667, 2018, 1438, 2750, 205, 1864, 1526, 1967, 5, 5, 5, 5, 5, 17, 2169, 868, 98, 1233, 2425, 124, 966, 488, 3541, 1813, 3706, 3143, 402, 3532, 347, 2121, 2267, 2018, 1099, 1375, 281, 1354, 1442, 348, 1277, 2550, 930, 3061, 1646, 2622, 3236, 2621, 382, 1148, 2410, 3953, 3126, 511, 2335, 3483, 774, 1362, 1566, 245, 1400, 488, 1542, 722, 1481, 1740, 1673, 2647, 489, 2140, 2157, 3338, 3437, 1694, 3296, 387, 1333, 142, 202, 3318, 518, 1660, 3202, 1660, 310, 3852, 3302, 411, 159, 1165, 2281, 3030, 4020, 3177, 796, 120, 3350, 2543, 2223, 356, 2073, 26, 1618, 3398, 3175, 122, 2083, 1733, 2842, 2520, 1919, 277, 602, 3614, 1496, 2339, 1570, 1930, 3433, 90, 1417, 981, 2426, 924, 1251, 617, 1195, 3488, 1486, 278, 389, 818, 810, 734, 3551, 1610, 1818, 3963, 1891, 401, 3676, 2601, 2401, 1374, 3353, 3318, 3159, 122, 1559, 1145, 331, 2662, 1658, 498, 1941, 1534, 357, 489, 2590, 686, 302, 1609, 282, 999, 2006, 1065, 1039, 2122, 2398, 2422, 3419, 1371, 1371, 330, 2658, 2170, 985, 3259, 1378, 3692, 2103, 2532, 1243, 52, 2537, 681, 2326, 2251, 979, 903, 983, 30, 889, 1885, 1357, 1862, 1626, 1053, 1350, 476, 95, 1430, 1118, 605, 137, 1353, 2921, 5, 1368, 3283, 474, 2074, 395, 8, 1166, 1469, 1575, 412, 1049, 1367, 2058, 1291, 94, 1049, 2378, 1029, 2502, 1334, 3646, 3626, 1306, 2487, 505, 3135, 898, 1594, 1662, 3114, 1658, 1334, 2406, 811, 2075, 1642, 226, 1301, 1891, 1402, 1371, 3716, 3393, 2590, 1536, 2131, 568, 3235, 1886, 686, 3072, 2003, 359, 331, 182, 535, 1626, 161, 3910, 1513, 1609, 3393, 3665, 2178, 1622, 2204, 1049, 2346, 3190, 1302, 2667, 1798, 1405, 4026, 1186, 645, 3682, 1363, 2016, 639, 1437, 517, 1958, 1868, 1030, 1922, 1154, 1305, 4097, 1561, 2058, 1799, 473, 1358, 2314, 1036, 24, 2902, 1926, 3866, 1878, 1186, 3126, 3858, 1158, 1510, 3133, 3658, 1553, 2117, 1057, 282, 1518, 538, 3434, 1701, 778, 1369, 1434, 2226, 1361, 2206, 1106, 1078, 1929, 1371, 1832, 3398, 2358, 2567, 276, 75, 2101, 1288, 676, 2616, 1382, 190, 3454, 3716, 1329, 2558, 2794, 2298, 1914, 3350, 1912, 3212, 1314, 410, 1038, 1405, 1612, 55, 2056, 844, 1837, 98, 3917, 2847, 2198, 1865, 1355, 396, 2088, 3118, 1386, 2193, 2182, 2570, 157, 3404, 1371, 2381, 1380, 1940, 3092, 1645, 3122, 3865, 3149 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 2552, 933, 492, 1420, 2551, 1442, 1535, 2038, 1172, 3146, 1932, 1877, 665, 3533, 1103, 74, 1579, 986, 3422, 387, 1627, 1446, 1338, 342, 1376, 2204, 330, 4069, 1237, 2361, 818, 3688, 1859, 2313, 2122, 2587, 1398, 1846, 278, 278, 3574, 3491, 1866, 3302, 2234, 636, 3690, 3185, 854, 1176, 1367, 2522, 3761, 1370, 1526, 1127, 477, 1609, 644, 3721, 1148, 3672, 1857, 3148, 125, 537, 1356, 1038, 90, 2594, 2542, 1113, 266, 3579, 3418, 1109, 285, 2121, 3136, 3543, 2690, 3129, 2398, 345, 2677, 2542, 2655, 1375, 1483, 1368, 3238, 3283, 592, 3394, 1484, 2434, 2559, 3677, 1172, 3853, 485, 2678, 381, 249, 3274, 2281, 1410, 3942, 1003, 282, 1802, 4011, 1352, 1114, 1500, 316, 1893, 2565, 554, 1380, 1364, 287, 59, 2574, 1674, 1079, 1178, 971, 1161, 1946, 1914, 858, 798, 1881, 1093, 460, 3191, 2098, 2412, 34, 3082, 1418, 1149, 2502, 3195, 86, 1623, 1254, 78, 1349, 347, 863, 910, 785, 1617, 1866, 2019, 3756, 1911, 1897, 362, 3733, 774, 1114, 1626, 1863, 1003, 1626, 1676, 1452, 2486, 648, 2406, 300, 860, 791, 2087, 1431, 983, 796, 2529, 1882, 606, 2341, 3642, 630, 1617, 866, 461, 914, 1926, 10, 1180, 2123, 2309, 3336, 2330, 1382, 3472, 2074, 2087, 1378, 1116, 859, 2076, 985, 3595, 2171, 1302, 289, 1445, 2146, 2267, 2022, 1385, 218, 2145, 2422, 345, 1404, 2646, 3447, 290, 3718, 2533, 2986, 1525, 93, 1626, 366, 2185, 1130, 3753, 3590, 2588, 345, 3417, 2536, 225, 1821, 3078, 2554, 3217, 3090, 462, 506, 152, 1878, 1372, 1063, 3660, 1287, 1118, 571, 1939, 1362, 2482, 2022, 3658, 1812, 403, 557, 3639, 125, 334, 1410, 123, 1695, 474, 350, 2382, 1150, 1798, 1481, 1266, 1630, 1894, 2078, 2142, 2162, 1171, 330, 290, 3270, 2938, 1299, 554, 3410, 3100, 2171, 2117, 3876, 1394, 2013, 229, 1532, 1044, 474, 2424, 3099, 1226, 1557, 2429, 2342, 3494, 783, 1434, 2658, 1525, 1370, 1710, 1115, 1309, 1585, 2142, 1497, 1353, 3414, 3, 2, 46, 11, 2095, 2311, 2631, 2657, 681, 110, 47, 3087, 295, 2629, 2581, 618, 690, 47, 1285, 2338, 3637, 2580, 985, 2085, 986, 2085, 2406, 3893, 2591, 2074, 3481, 2248, 1157, 1891, 47, 3649, 2578, 2351, 1421, 3645, 3097, 677, 682, 1887, 293, 2580, 1604, 1314, 1685, 3645, 3357, 4069, 2333, 3645, 607, 655, 2042, 2189, 573, 525, 659, 1415, 159, 1819, 810, 3125, 2170, 573, 3166, 2596, 531, 1940, 1926, 3870, 2965, 54, 3985, 109, 2085, 3937, 1511, 1381, 2846, 3094, 2062, 1859, 599, 2453, 3944, 294, 3860, 519, 907, 155, 1887, 18, 148, 607, 965, 3494, 309, 2741, 3849, 2983, 1181, 2966, 2214, 2525, 1824, 830, 663, 1485, 1899, 2187, 103, 2881, 2145, 1885, 3892, 3907, 1431, 1558, 1798, 1426, 1892, 625, 2587, 932, 432, 1373, 157, 3493, 2641, 2869, 907, 2150, 1848, 3202, 3088, 357, 3731, 650, 667, 739, 1631, 501, 360, 3091, 502, 776, 293, 2462, 1105, 3133, 3681, 1846, 3859, 3958, 3742, 81, 862, 2094, 3183, 3871, 1573, 802, 3269, 3462, 1665, 246, 2102, 1309, 795, 17, 2828, 1827, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3418, 3930, 1056, 1094, 245, 3625, 2391 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1376, 3870, 2133, 3931, 858, 283, 102, 550, 3211, 1181, 1115, 624, 19, 1071, 283, 1436, 2459, 62, 1484, 3416, 2888, 1721, 1818, 1530, 1526, 1385, 580, 54, 26, 987, 319, 2362, 3578, 1343, 2309, 2374, 2157, 2635, 412, 790, 1482, 2565, 2969, 2065, 1495, 1338, 1349, 3350, 1499, 2439, 581, 2629, 665, 174, 38, 31, 1167, 2311, 1029, 1669, 681, 46, 47, 15, 2055, 2629, 2709, 618, 168, 47, 1287, 2311, 2565, 2584, 1709, 154, 271, 11, 2346, 1258, 2549, 3734, 1986, 1618, 1622, 3685, 2839, 520, 2153, 3465, 1411, 1093, 1726, 165, 3726, 1633, 1437, 234, 1828, 1810, 2065, 1622, 3290, 1530, 1350, 2889, 276, 231, 1178, 602, 3062, 2442, 250, 1594, 1302, 1547, 295, 461, 1614, 2122, 1579, 2821, 3655, 2582, 1630, 1950, 1544, 2401, 2010, 953, 880, 1142, 1380, 1380, 347, 1064, 3848, 262, 1346, 1560, 2712, 1508, 1368, 2709, 153, 395, 2217, 1566, 1846, 353, 1445, 190, 1157, 3170, 600, 1369, 214, 354, 1693, 553, 169, 46, 1039, 2311, 262, 2637, 2709, 581, 109, 47, 1031, 2311, 2565, 2693, 681, 174, 43, 1295, 775, 2645, 661, 677, 166, 879, 2062, 1301, 2565, 1687, 1363, 1444, 238, 384, 3433, 3434, 491, 182, 549, 907, 1245, 1116, 3657, 112, 2319, 237, 2410, 3166, 2067, 1398, 3957, 3461, 3178, 466, 1380, 1369, 441, 1045, 3859, 590, 1322, 1476, 413, 1492, 1432, 1366, 357, 1559, 545, 2153, 3465, 1383, 1653, 745, 648, 362, 2430, 1641, 843, 489, 1116, 425, 142, 45, 43, 1167, 2310, 2693, 661, 109, 686, 47, 1071, 1479, 2629, 1685, 689, 166, 559, 1039, 263, 1623, 2773, 682, 14, 483, 783, 248, 3405, 520, 3421, 526, 1572, 783, 429, 354, 2381, 3129, 2060, 1509, 691, 975, 222, 682, 2195, 913, 327, 2567, 2652, 1446, 527, 251, 1018, 475, 2323, 914, 404, 3598, 403, 903, 1447, 2220, 3933, 2183, 903, 135, 2282, 2085, 2476, 360, 609, 781, 1879, 913, 1439, 503, 236, 2300, 2084, 416, 2309, 804, 2245, 1677, 532, 1482, 3626, 1552, 417, 285, 156, 999, 1326, 2324, 1590, 548, 247, 40, 2149, 2412, 1445, 213, 2295, 1448, 3090, 2582, 783, 2836, 80, 2601, 2448, 2333, 2590, 3468, 440, 919, 2346, 3212, 1645, 2149, 1584, 973, 1484, 1428, 772, 1002, 2347, 284, 26, 2268, 1527, 1743, 360, 2550, 2746, 1413, 2450, 2575, 1232, 776, 2157, 1564, 833, 2017, 182, 1555, 2279, 2135, 2407, 3563, 1446, 3846, 1601, 230, 3864, 54, 526, 2457, 1233, 915, 1484, 804, 244, 1827, 2453, 1224, 1437, 673, 1716, 427, 520, 481, 3090, 2075, 1989, 3869, 794, 392, 357, 208, 124, 489, 434, 2369, 2604, 1297, 3900, 1416, 7, 1992, 428, 3114, 1563, 1190, 3437, 507, 100, 1373, 3594, 3478, 3530, 2040, 2408, 1086, 1059, 2206, 2788, 2113, 932, 93, 2450, 323, 2432, 673, 2401, 1692, 2505, 3946, 2053, 174, 1535, 1943, 203, 1192, 1057, 1292, 3300, 215, 2344, 352, 1507, 1489, 1992, 2247, 2324, 427, 1055, 1281, 3242, 1624, 2672, 2040, 2849, 1228, 1544, 641, 3093, 3481, 668, 3859, 545, 931, 860, 541, 453, 2419, 65, 2284, 1224, 17, 1604, 2439, 2439, 2420, 357, 1549, 3237, 3624, 2665, 2220, 611, 3275, 1541, 774 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2508, 904, 197, 2584, 787, 1259, 808, 1492, 153, 825, 164, 396, 1928, 776, 2438, 2054, 3649, 1485, 2335, 2869, 17, 1322, 2102, 3948, 977, 1226, 391, 2248, 776, 1006, 352, 965, 3125, 1426, 372, 2347, 414, 2104, 972, 2502, 460, 465, 1592, 974, 488, 411, 1611, 678, 1386, 2374, 3298, 3320, 1555, 1233, 2389, 531, 1578, 4052, 95, 2103, 1883, 1861, 1031, 1366, 1386, 3402, 1399, 1498, 1530, 3546, 3530, 2452, 145, 3085, 3812, 984, 837, 89, 10, 1358, 2344, 903, 1025, 1746, 477, 3082, 2104, 1397, 42, 2524, 2197, 3327, 468, 1746, 220, 3512, 1112, 1825, 1365, 13, 26, 1798, 1102, 1102, 2861, 565, 3661, 3278, 1932, 3290, 136, 1357, 3318, 3217, 795, 1245, 568, 146, 3677, 3877, 567, 832, 2031, 655, 1639, 2402, 1711, 754, 1368, 789, 2054, 2459, 2670, 1709, 2603, 3179, 681, 1690, 2703, 3211, 414, 2414, 2469, 747, 171, 3127, 1579, 1579, 734, 2446, 2861, 155, 615, 2155, 1631, 1581, 142, 2861, 2470, 1166, 2861, 2227, 1579, 3183, 558, 2814, 1645, 1643, 766, 1758, 2715, 2603, 3239, 3213, 3774, 3774, 1983, 703, 1418, 2398, 1422, 2864, 3424, 2590, 2443, 618, 3242, 3514, 2208, 526, 2798, 1422, 1772, 3134, 1584, 1637, 2922, 2470, 2407, 1738, 3600, 747, 2463, 101, 2953, 2486, 2996, 603, 3723, 1708, 1582, 3547, 625, 2663, 2911, 923, 650, 1639, 2976, 1899, 2459, 613, 2793, 2231, 2075, 1706, 2495, 370, 2909, 1727, 830, 1643, 1563, 1585, 555, 3251, 1566, 2471, 3026, 1736, 619, 102, 2339, 1323, 3243, 240, 359, 1794, 3134, 1259, 3251, 1629, 691, 2198, 1440, 3272, 1359, 1838, 2995, 743, 2949, 2208, 653, 3498, 2369, 517, 3249, 935, 91, 633, 2487, 2890, 625, 2546, 609, 2810, 1250, 1522, 1354, 1230, 137, 1481, 1411, 1400, 1318, 1626, 1601, 85, 1144, 1065, 2276, 2827, 2470, 3875, 3865, 2098, 2849, 929, 412, 3463, 1999, 824, 832, 579, 1313, 3306, 2259, 1847, 2576, 2386, 928, 741, 1845, 3283, 1848, 1944, 965, 3283, 119, 2280, 289, 3190, 2865, 790, 1842, 2873, 1855, 1851, 509, 2257, 3253, 3706, 3112, 3745, 1810, 1170, 3905, 3366, 2254, 1377, 3685, 1834, 2564, 184, 3375, 2521, 1591, 1411, 2622, 4094, 641, 3890, 525, 2378, 2869, 3549, 1665, 3262, 3195, 1327, 306, 1945, 2101, 3847, 81, 3422, 2455, 1661, 897, 3193, 1556, 599, 913, 1854, 3896, 1812, 3460, 3434, 3226, 1426, 3121, 3648, 1325, 3659, 1125, 3306, 3092, 378, 2010, 2725, 1989, 4039, 1039, 2106, 2872, 3857, 3445, 26, 3578, 166, 2037, 2838, 958, 2091, 1976, 3477, 3301, 2614, 1736, 2722, 949, 1886, 3371, 1281, 407, 998, 2939, 1063, 806, 3894, 3169, 1443, 613, 4070, 1648, 2247, 68, 3125, 3950, 3140, 2862, 2081, 1935, 962, 1150, 1658, 3181, 2684, 1993, 2293, 3587, 3623, 2097, 3125, 3330, 3796, 942, 1506, 996, 1890, 3215, 3166, 3171, 484, 1871, 3686, 3487, 1018, 1823, 3318, 3201, 1361, 1562, 3808, 1505, 3422, 3901, 2854, 3940, 2842, 2336, 2341, 369, 3627, 2423, 2759, 933, 2142, 3679, 2535, 2883, 2119, 2126, 1604, 2821, 2145, 2405, 1699, 3809, 1326, 2346, 1848, 2975, 695, 1825, 2100, 2711, 17, 919, 833, 1846, 1953, 3217, 1857, 1221, 3905, 3377, 1208, 2169, 1562, 2273, 3106 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 671, 960, 3896, 2104, 2424, 2835, 1576, 37, 2261, 3453, 3324, 3557, 3085, 792, 3662, 2149, 3562, 2115, 2149, 3422, 3217, 2110, 236, 2475, 1431, 2195, 1119, 3652, 831, 1693, 3878, 3755, 3128, 289, 3007, 831, 160, 2604, 3745, 3656, 1581, 2303, 1855, 1249, 2770, 879, 658, 2722, 3581, 1419, 357, 3744, 3902, 3064, 53, 3139, 3982, 2976, 3492, 2264, 3287, 718, 1645, 3504, 1258, 741, 2612, 1828, 2792, 2120, 145, 3953, 3357, 1592, 2979, 2032, 2865, 979, 834, 2873, 2733, 4097, 917, 3213, 580, 795, 1462, 4012, 3901, 397, 915, 1121, 2861, 624, 2474, 2413, 2516, 1085, 2635, 1679, 377, 279, 2155, 2522, 1306, 1882, 1910, 3546, 1902, 3287, 1642, 2566, 1531, 552, 1998, 3553, 1352, 1412, 3908, 2452, 226, 3548, 2146, 277, 1633, 3491, 358, 2504, 2129, 15, 2053, 97, 10, 1589, 2166, 1421, 9, 3298, 1570, 867, 381, 1364, 440, 1617, 3546, 2905, 3868, 1510, 486, 1025, 1057, 1846, 874, 3347, 348, 3431, 2249, 925, 3567, 1756, 1338, 3425, 1209, 3462, 10, 3129, 44, 2214, 3735, 382, 2347, 3239, 762, 971, 1815, 2143, 2333, 353, 609, 417, 1361, 331, 479, 2022, 1802, 1806, 2177, 1198, 9, 2433, 1374, 1181, 1365, 2603, 1497, 421, 3390, 158, 2646, 1235, 853, 2741, 2693, 2629, 2398, 1416, 2710, 398, 1912, 1884, 1858, 2378, 1674, 3306, 3921, 226, 1274, 2887, 3217, 3154, 3485, 1874, 1618, 1522, 1376, 3236, 321, 2366, 4083, 1302, 2180, 1537, 1914, 1032, 8, 3526, 1564, 1481, 965, 4037, 3099, 1284, 85, 3653, 3130, 773, 133, 1618, 68, 1380, 122, 53, 198, 3322, 2426, 55, 1067, 1333, 133, 278, 521, 790, 1174, 23, 278, 326, 1366, 266, 1110, 2061, 1097, 2113, 2137, 1385, 2053, 3154, 358, 215, 24, 341, 1483, 553, 475, 22, 1366, 3345, 221, 1685, 1106, 1434, 1817, 1054, 3320, 263, 1032, 347, 1514, 1394, 1377, 2405, 73, 1097, 293, 2586, 3341, 230, 38, 2053, 2054, 1083, 11, 309, 462, 339, 197, 473, 442, 3357, 3298, 1845, 923, 1688, 853, 3269, 773, 3105, 1141, 56, 1397, 795, 466, 3592, 3921, 3400, 1436, 1124, 3236, 868, 3159, 2136, 923, 378, 299, 2041, 3204, 409, 1644, 1149, 1066, 4046, 1194, 1065, 2312, 2438, 2142, 1912, 431, 1879, 1299, 1307, 1912, 3885, 1628, 1642, 3242, 2218, 933, 466, 1564, 460, 2147, 1482, 2234, 2613, 2316, 122, 68, 386, 794, 3091, 482, 992, 841, 823, 3868, 374, 136, 3620, 2320, 1372, 837, 357, 1558, 2955, 1333, 2349, 612, 540, 345, 1406, 2346, 3166, 1534, 3295, 2606, 1543, 2463, 1415, 1145, 1433, 1406, 1860, 2109, 206, 218, 4049, 374, 478, 316, 1932, 1373, 3551, 358, 2162, 1397, 1618, 1465, 1563, 398, 345, 1126, 1437, 1497, 1510, 604, 2166, 1270, 858, 3607, 284, 2139, 1850, 3419, 981, 1401, 3706, 1976, 2074, 2833, 184, 2677, 3, 2, 1605, 3434, 1287, 90, 283, 1633, 465, 3427, 7, 317, 30, 1385, 417, 1144, 7, 3335, 2118, 56, 3165, 1848, 394, 338, 963, 9, 1826, 2981, 1122, 139, 83, 134, 821, 77, 1369, 1386, 1541, 1638, 362, 3915, 10, 1433, 2394, 1434, 1628, 342, 1135, 2310, 1387, 133, 1626, 342, 1630, 2462, 1468, 414, 414, 1502, 1435, 410, 1466 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2219, 1605, 2334, 2083, 1434, 3167, 379, 3931, 2425, 2491, 91, 474, 1370, 2333, 294, 3528, 1397, 1061, 106, 2833, 1116, 1542, 1630, 541, 1350, 98, 2421, 1925, 534, 2054, 2395, 1246, 3141, 2069, 1032, 795, 337, 3174, 1110, 2156, 2054, 460, 1773, 284, 2086, 2069, 2565, 1313, 1500, 1469, 1841, 1142, 1545, 2097, 1925, 98, 1250, 2916, 600, 1561, 3233, 3481, 3388, 3849, 803, 1482, 3393, 3338, 3292, 1498, 3421, 1762, 2066, 2672, 776, 1272, 3642, 3354, 3290, 2025, 1351, 3741, 2057, 465, 61, 3292, 2270, 2214, 1594, 2326, 1644, 1305, 517, 413, 1626, 3357, 346, 1365, 1114, 347, 1146, 415, 174, 1734, 2061, 477, 430, 2798, 2799, 2394, 3854, 1059, 394, 1355, 289, 1096, 1402, 3193, 1196, 18, 75, 1365, 794, 965, 382, 91, 3618, 1530, 1126, 454, 1626, 3423, 3961, 436, 329, 1098, 2443, 1400, 390, 26, 2843, 569, 3871, 1430, 3034, 2160, 3435, 2464, 2392, 3014, 1739, 1323, 2138, 2910, 2228, 2395, 1413, 3163, 1658, 1439, 161, 1748, 838, 411, 446, 1690, 3689, 3261, 829, 612, 360, 407, 392, 514, 311, 3970, 3902, 1712, 3164, 3418, 3217, 90, 1480, 2337, 1822, 2438, 2809, 3168, 490, 1380, 3457, 1464, 449, 2248, 3651, 2839, 544, 424, 3169, 1344, 3838, 97, 794, 4022, 3508, 2878, 2423, 4034, 3661, 427, 3216, 1241, 4033, 3216, 1686, 562, 3450, 348, 1291, 266, 1914, 1049, 2010, 36, 3770, 1354, 1466, 3359, 593, 2319, 1442, 591, 1380, 3673, 2374, 3078, 1531, 3205, 5, 5, 8, 2122, 1244, 3989, 2236, 403, 3101, 3753, 2072, 2693, 1145, 2706, 2136, 326, 3179, 1541, 3042, 2907, 44, 3239, 2377, 80, 3125, 1385, 1443, 2166, 1733, 5, 361, 1443, 2221, 5, 198, 1434, 1482, 1114, 1033, 2565, 2257, 3274, 645, 1070, 1146, 1425, 1306, 533, 2695, 2961, 1680, 3937, 705, 1671, 2587, 1036, 3162, 2725, 85, 90, 1295, 1081, 5, 1482, 1639, 1458, 2929, 2483, 1707, 2959, 51, 3440, 1645, 3786, 1541, 1685, 2162, 2394, 2395, 1731, 3231, 555, 2183, 3311, 2462, 1437, 1392, 838, 1584, 2777, 2689, 1714, 1193, 693, 2931, 3231, 549, 2778, 1243, 2994, 2055, 2832, 1777, 2471, 543, 3405, 3440, 1512, 1458, 2930, 1669, 2800, 3803, 2058, 3346, 3382, 1991, 3930, 1818, 1482, 2011, 3930, 1818, 3085, 1333, 1530, 1466, 4060, 353, 762, 1692, 378, 3298, 1379, 249, 396, 3954, 3348, 1339, 622, 864, 885, 885, 3220, 1019, 715, 434, 3136, 3148, 178, 3125, 3453, 3768, 3079, 26, 3127, 3079, 1909, 2104, 2672, 3079, 2375, 3120, 3125, 3080, 350, 3321, 1101, 89, 1797, 1378, 3526, 374, 3388, 1364, 3207, 1221, 524, 845, 853, 1238, 990, 3525, 1532, 2177, 1104, 1817, 393, 2148, 3453, 1333, 97, 364, 773, 3446, 122, 3436, 789, 2361, 2105, 3368, 2822, 326, 1356, 3452, 1141, 1373, 3846, 1825, 1825, 646, 3723, 1588, 3201, 773, 2717, 785, 3845, 264, 3857, 785, 779, 1858, 36, 1306, 2517, 380, 1397, 1121, 214, 1913, 4045, 593, 37, 1849, 2090, 82, 386, 1498, 3172, 1932, 2177, 1353, 2934, 2077, 1162, 3164, 2136, 10, 3867, 1845, 218, 268, 1529, 1846, 181, 22, 1050, 1154, 1913, 1802, 1428, 28, 460, 455, 2082, 2155, 513, 1992, 15, 2440, 212, 8, 68 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 200, 15, 2516, 1062, 1050, 2504, 348, 1397, 1133, 1477, 3388, 1108, 3207, 1221, 554, 973, 597, 1238, 859, 153, 1910, 2019, 502, 1303, 3399, 3531, 294, 2010, 3425, 1532, 2133, 1350, 1868, 386, 3617, 341, 1209, 1242, 2075, 1845, 865, 1058, 1878, 3273, 594, 530, 845, 3637, 1109, 1494, 3426, 3361, 91, 967, 1484, 456, 135, 2339, 936, 833, 1886, 1339, 2112, 80, 1809, 2937, 792, 3889, 3197, 2531, 913, 1249, 842, 2004, 857, 200, 355, 2178, 1556, 2955, 2194, 1347, 470, 1677, 1964, 977, 15, 545, 2696, 3682, 3875, 1379, 1469, 2279, 808, 804, 324, 894, 3932, 2009, 504, 1961, 1346, 621, 1288, 908, 2914, 1148, 3424, 379, 458, 692, 978, 1939, 2873, 1809, 1764, 488, 353, 860, 2565, 798, 1297, 982, 2561, 1297, 1756, 476, 773, 868, 454, 1809, 124, 3269, 785, 820, 321, 786, 2025, 1635, 1370, 1917, 993, 1780, 2578, 2068, 2508, 3085, 1485, 94, 1441, 796, 1484, 483, 3558, 3537, 2139, 2180, 3514, 1574, 1484, 3193, 1992, 3357, 884, 1057, 113, 1800, 3848, 2054, 1937, 2426, 1648, 3161, 1435, 2136, 981, 2074, 825, 287, 329, 803, 338, 810, 5, 1047, 1058, 3226, 1178, 3106, 3382, 1407, 1377, 3990, 1677, 1412, 517, 3416, 815, 1864, 3441, 3105, 3551, 3270, 3541, 4005, 363, 1240, 1638, 3092, 3435, 3457, 822, 49, 3902, 1992, 1861, 3920, 866, 2706, 1131, 1234, 1903, 854, 2337, 3665, 289, 1306, 1484, 1909, 1401, 1274, 414, 954, 1525, 2806, 1208, 3269, 3164, 1492, 3018, 3382, 3958, 2170, 3190, 4041, 4058, 3446, 2810, 3510, 932, 775, 2908, 389, 3284, 209, 411, 1992, 3148, 1397, 3830, 3508, 3761, 963, 4024, 2060, 3317, 3270, 3432, 806, 3440, 3194, 2819, 914, 926, 1950, 1480, 3134, 374, 3139, 1352, 828, 512, 476, 3781, 2182, 3092, 2428, 650, 3092, 805, 3778, 3282, 3566, 2586, 3272, 251, 2143, 3196, 72, 3272, 3126, 3970, 198, 3311, 3326, 3448, 694, 3962, 3279, 3202, 3448, 706, 3964, 3279, 2166, 3448, 694, 3962, 3310, 3330, 1404, 2744, 1402, 3114, 3330, 1404, 2744, 1402, 3311, 3190, 3448, 694, 3962, 3310, 3330, 1404, 2744, 1402, 3118, 3330, 1404, 2744, 1402, 3311, 3190, 2770, 1663, 506, 2390, 3440, 2170, 2571, 3916, 3426, 1403, 106, 1822, 1365, 1100, 474, 3458, 1141, 2012, 1626, 2396, 252, 475, 220, 68, 200, 3088, 200, 68, 968, 3848, 3848, 1927, 3208, 198, 3784, 197, 823, 3318, 2680, 3256, 3189, 3963, 8, 242, 201, 109, 1745, 1445, 237, 2646, 704, 3281, 977, 4044, 773, 478, 1809, 2428, 1372, 2037, 2842, 598, 3354, 972, 3446, 2426, 1356, 3354, 509, 1364, 460, 1413, 517, 3917, 2898, 1304, 1346, 526, 2075, 1032, 983, 149, 2059, 13, 461, 120, 3461, 530, 518, 3291, 13, 845, 888, 1413, 56, 3365, 3386, 1617, 3321, 2091, 607, 3089, 3795, 1287, 2493, 1622, 601, 622, 2937, 1367, 574, 1594, 1598, 1432, 2408, 1368, 2491, 872, 575, 1598, 1598, 2917, 1591, 923, 859, 928, 2623, 1594, 1598, 2917, 1591, 923, 858, 932, 1595, 808, 2664, 1384, 2491, 104, 574, 1594, 1597, 1594, 1566, 2922, 1591, 667, 858, 235, 3510, 2509, 3677, 3485, 626, 349, 3238, 1242, 2283, 3461, 530, 518, 3291, 5, 3321, 2105 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]