input_ids
sequence
token_type_ids
sequence
attention_mask
sequence
[ 2, 2047, 1760, 2813, 1768, 2535, 1015, 1820, 3316, 2716, 2483, 1428, 3184, 3035, 3255, 3331, 3476, 2914, 1578, 517, 1464, 250, 653, 1517, 3317, 2638, 3857, 1221, 8, 1498, 923, 2137, 219, 1247, 1904, 1615, 539, 1237, 1920, 2439, 1182, 1256, 2260, 2965, 1498, 617, 2874, 565, 3081, 1158, 1034, 1626, 2317, 3102, 1865, 290, 1109, 3658, 1034, 1502, 3132, 2790, 6, 89, 1305, 1353, 3798, 1869, 1928, 1096, 1185, 499, 2008, 1046, 2374, 1234, 1877, 3436, 554, 355, 1292, 904, 2561, 42, 1302, 3169, 2508, 4012, 3802, 343, 2717, 3140, 1943, 1582, 3132, 3694, 1395, 1526, 3960, 728, 204, 1763, 1568, 157, 747, 2977, 2426, 496, 557, 2779, 1005, 2705, 2799, 48, 2813, 2605, 894, 3580, 3772, 3769, 2348, 2556, 3564, 3773, 2524, 2608, 2540, 988, 2288, 1823, 3732, 3811, 907, 3875, 674, 2846, 2452, 3299, 1948, 1940, 2585, 3442, 2387, 1723, 443, 2506, 1579, 1982, 1626, 1307, 2808, 2814, 1122, 2151, 1699, 3686, 3081, 1420, 2599, 3227, 223, 1472, 644, 3609, 3606, 2202, 3164, 52, 1635, 1513, 1118, 1050, 1034, 1966, 2430, 3989, 3779, 1076, 1390, 1915, 77, 3638, 1765, 1718, 1517, 3655, 1883, 94, 4016, 2991, 1522, 1636, 2718, 2147, 2282, 1393, 2398, 1690, 1399, 1945, 2142, 1395, 1434, 523, 859, 1628, 3839, 2026, 1884, 2722, 1048, 612, 2386, 2979, 3036, 1403, 1094, 163, 56, 509, 120, 888, 801, 3157, 3672, 3672, 3785, 1916, 1953, 59, 1118, 28, 349, 1498, 3729, 3357, 3137, 3554, 3682, 22, 3365, 266, 1156, 3985, 1113, 2378, 1189, 3882, 1453, 901, 3347, 1957, 1945, 893, 362, 4070, 2077, 858, 516, 113, 2645, 1366, 1875, 2324, 1333, 117, 1102, 1890, 2505, 1369, 1432, 1209, 373, 2373, 1430, 2121, 86, 2457, 441, 3165, 1114, 1354, 349, 2683, 581, 1293, 1178, 3718, 1068, 3995, 3945, 1482, 1396, 3826, 3449, 18, 1113, 2398, 3183, 2618, 3169, 858, 1434, 3837, 2392, 1050, 207, 3084, 3123, 2339, 1277, 521, 1311, 2487, 1401, 282, 1826, 2062, 1395, 267, 3203, 154, 1289, 901, 948, 2823, 3079, 19, 2055, 22, 70, 2108, 148, 3061, 4069, 757, 1354, 2884, 2573, 136, 3852, 3617, 2285, 1967, 1711, 517, 3363, 185, 265, 729, 134, 120, 148, 2323, 3975, 136, 2026, 2593, 786, 1727, 3162, 3946, 1865, 1097, 1101, 1929, 1145, 1353, 1034, 3313, 3765, 4093, 1033, 1797, 3085, 84, 2090, 3325, 603, 210, 2192, 1255, 2789, 1920, 1148, 1913, 1116, 2070, 1312, 2410, 214, 1365, 3130, 1958, 2981, 3424, 1741, 3655, 903, 165, 575, 37, 3661, 645, 2189, 3629, 3591, 346, 412, 3977, 1393, 3293, 2407, 1501, 2107, 1788, 4051, 28, 1412, 602, 3427, 40, 3647, 2591, 2061, 1434, 1535, 58, 1480, 3673, 391, 1508, 2217, 467, 3746, 120, 1290, 3421, 2146, 1909, 621, 3444, 1298, 3420, 3170, 2037, 1371, 1436, 477, 3403, 124, 314, 1285, 1257, 2566, 851, 846, 1486, 1103, 90, 1045, 1954, 1030, 5, 2054, 1866, 2453, 90, 405, 1354, 3295, 1550, 730, 2919, 82, 1830, 2247, 1378, 476, 252, 2656, 1641, 3418, 2027, 3400, 4066, 1378, 1484, 3334, 290, 867, 3418, 2898, 3954, 60, 2882, 2650, 2678, 149, 2132, 3192, 1988, 783, 712, 3877, 2981, 613, 453, 405, 1409, 3637, 2958 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3090, 3548, 1232, 3317, 504, 3894, 903, 530, 3149, 2042, 2179, 914, 19, 3515, 2541, 1418, 1978, 1041, 2661, 65, 2416, 2685, 2559, 1157, 1293, 1967, 108, 1836, 1643, 1660, 1465, 2044, 2808, 1912, 1920, 1084, 1924, 2022, 3097, 1853, 1000, 2536, 597, 1989, 475, 240, 3861, 3290, 2559, 211, 741, 953, 88, 198, 3445, 15, 951, 1013, 853, 1650, 591, 3103, 1868, 2465, 367, 1350, 3378, 17, 2383, 1114, 342, 1320, 1122, 1315, 2068, 1298, 1110, 3425, 2355, 3457, 1287, 1358, 538, 2040, 3493, 1274, 2081, 1370, 153, 1707, 3848, 1866, 1328, 3082, 2702, 3823, 725, 1575, 482, 546, 3553, 1862, 220, 1493, 1952, 2887, 1557, 337, 2230, 2329, 3024, 3161, 1149, 1845, 3521, 145, 3205, 941, 3104, 915, 277, 2422, 44, 3100, 49, 3586, 3466, 1350, 1377, 2233, 3481, 3717, 239, 3110, 3547, 1485, 1509, 261, 277, 64, 2097, 3325, 1030, 3365, 3354, 1030, 1670, 1796, 2808, 3329, 1750, 120, 1438, 4034, 4077, 1033, 2586, 3900, 1149, 3823, 322, 4073, 1029, 1402, 1063, 3623, 3365, 2557, 2189, 2173, 2973, 1086, 1149, 1165, 3901, 101, 354, 1354, 2602, 2394, 2970, 1978, 3707, 3418, 461, 3816, 2058, 117, 343, 3593, 102, 1359, 821, 915, 1030, 3375, 776, 820, 295, 1221, 290, 3445, 1289, 60, 2795, 1044, 2517, 917, 2566, 61, 522, 936, 8, 3809, 732, 1061, 1223, 2268, 1032, 1401, 2501, 3014, 1289, 1397, 2152, 3436, 1917, 1398, 1362, 494, 328, 2329, 278, 2133, 277, 98, 1514, 85, 467, 341, 962, 1893, 3334, 301, 778, 3324, 2072, 1941, 1033, 1113, 38, 1037, 2203, 163, 2894, 1355, 1127, 1062, 224, 283, 3705, 347, 238, 2315, 91, 165, 1437, 2450, 1774, 2135, 3850, 1115, 2195, 2284, 2688, 3656, 2541, 2137, 1349, 2821, 2404, 2266, 2282, 2828, 2560, 2366, 2731, 1759, 602, 2957, 1363, 111, 371, 157, 1114, 1230, 1519, 2322, 3804, 637, 2396, 3819, 3605, 154, 1476, 2446, 3247, 2613, 447, 1990, 2659, 2223, 518, 870, 2558, 1508, 175, 1695, 3315, 2111, 2734, 2971, 1131, 1493, 1427, 1510, 2778, 2309, 867, 3709, 2741, 93, 898, 1999, 67, 1368, 2510, 1063, 2277, 1779, 3351, 38, 2676, 487, 824, 9, 1922, 1799, 1436, 3338, 2513, 3705, 265, 1302, 1044, 1098, 1371, 892, 2437, 3625, 551, 608, 2377, 1113, 1871, 1631, 1918, 1422, 1709, 1368, 2030, 2117, 3681, 3669, 3618, 2949, 3092, 3423, 1942, 1713, 26, 4085, 10, 3006, 1989, 1507, 3350, 3553, 2396, 1996, 2054, 8, 2206, 524, 3795, 3534, 1030, 309, 270, 1171, 318, 2107, 37, 1984, 538, 1649, 778, 2246, 3861, 751, 2652, 2389, 277, 3587, 3581, 3304, 1636, 2616, 1377, 345, 3646, 7, 3704, 435, 2173, 1515, 3738, 1115, 824, 1599, 2565, 3416, 1564, 1694, 1374, 2020, 3930, 3323, 1404, 3177, 266, 1306, 62, 1034, 2138, 1414, 3610, 1642, 343, 3118, 1797, 2989, 3551, 1352, 1034, 3165, 2570, 1090, 3380, 446, 1076, 893, 936, 1441, 245, 267, 3078, 3546, 1238, 1121, 1477, 3653, 693, 1052, 161, 1365, 2422, 1399, 1739, 1351, 1494, 1354, 2362, 473, 3670, 1290, 488, 1514, 28, 36, 1633, 1734, 1113, 1370, 3146, 2138, 113, 325, 1375, 218, 2827, 550, 364, 601, 3675, 342, 1290, 74, 343, 1123, 1445, 533 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 135, 935, 1774, 2065, 3703, 2091, 3964, 2074, 345, 70, 1378, 1918, 1531, 572, 3674, 3990, 3850, 3606, 1510, 3146, 92, 2118, 1146, 3942, 53, 492, 3655, 86, 131, 2193, 2061, 2212, 2289, 9, 7, 1039, 3331, 867, 2061, 2190, 3465, 582, 312, 1306, 431, 4087, 2842, 281, 2399, 1880, 2593, 878, 2922, 1432, 980, 1340, 2341, 3950, 1956, 1677, 1519, 3500, 2482, 26, 402, 3461, 21, 1267, 3764, 1395, 1365, 1050, 2732, 2770, 2877, 1409, 3829, 383, 3710, 2874, 1796, 2818, 2908, 4078, 1797, 2083, 1846, 3640, 2535, 1665, 1360, 2729, 86, 1415, 1461, 1956, 2001, 27, 3716, 4037, 3597, 3519, 2758, 2694, 2955, 1884, 1340, 1597, 2501, 1885, 1286, 1826, 154, 601, 180, 91, 1518, 3164, 215, 598, 1498, 3673, 2431, 348, 3134, 2423, 96, 1801, 85, 330, 3994, 1660, 1198, 3157, 1110, 1513, 516, 3322, 131, 1391, 1415, 266, 3675, 3148, 2161, 349, 1293, 3354, 85, 3141, 2141, 3525, 470, 1622, 1049, 456, 1555, 3114, 930, 637, 1235, 1105, 73, 637, 2636, 2335, 2209, 217, 1390, 2396, 3723, 1109, 3163, 268, 2843, 938, 1499, 162, 2791, 344, 2288, 42, 1997, 1034, 2103, 2382, 1417, 74, 3751, 1338, 2852, 3841, 3605, 844, 2278, 2101, 3418, 3450, 1454, 3071, 1411, 4076, 918, 1833, 78, 1533, 93, 1034, 1085, 2290, 71, 262, 341, 12, 2565, 168, 455, 774, 3581, 4072, 97, 3397, 218, 1457, 2048, 3309, 1145, 1599, 2823, 1354, 2972, 1370, 1807, 1557, 229, 3265, 2277, 2132, 2282, 2398, 1117, 2041, 2027, 3461, 3735, 1292, 2438, 387, 2947, 1287, 858, 3238, 1420, 929, 604, 1535, 2066, 1438, 2415, 602, 1393, 423, 3382, 373, 1256, 2046, 3637, 85, 3978, 74, 2274, 1805, 2858, 2084, 1811, 152, 802, 3576, 423, 3573, 38, 1370, 261, 22, 1349, 2437, 1379, 92, 1099, 3626, 843, 2312, 1305, 1877, 460, 1306, 1029, 1390, 85, 484, 2309, 245, 1734, 1329, 3155, 93, 1486, 1117, 2194, 1385, 2684, 1260, 3733, 3580, 3147, 2557, 3324, 1498, 3999, 331, 519, 551, 863, 3544, 2136, 3673, 275, 2069, 3427, 1384, 3359, 2829, 2011, 3277, 1433, 1689, 1703, 138, 3960, 1930, 74, 1142, 1101, 555, 974, 1886, 1644, 3724, 2944, 1301, 261, 1286, 3357, 3400, 1478, 1380, 2466, 433, 65, 3432, 1905, 1051, 1180, 3420, 4041, 468, 2512, 2038, 4064, 388, 3871, 27, 3925, 1827, 882, 1254, 3127, 1150, 1556, 3433, 3694, 1296, 3083, 1724, 3192, 213, 1898, 463, 3390, 3338, 986, 2045, 1065, 897, 3564, 2175, 386, 3162, 3332, 89, 1305, 3074, 1626, 66, 3855, 773, 106, 1884, 42, 1083, 461, 2618, 1425, 982, 3363, 1370, 998, 3367, 2392, 1990, 2698, 1114, 603, 2186, 1610, 1598, 1813, 603, 520, 474, 1564, 1734, 3861, 330, 380, 3131, 518, 853, 2318, 152, 1624, 1453, 343, 1946, 1193, 1377, 2389, 2499, 1576, 1391, 2412, 2222, 2841, 1535, 391, 3577, 746, 1375, 603, 2482, 1375, 1362, 1375, 1914, 1468, 2301, 2646, 2335, 3198, 3555, 1524, 1125, 269, 1625, 1559, 90, 3545, 2173, 2999, 1798, 6, 118, 2116, 215, 773, 2532, 3765, 3396, 4038, 3203, 283, 2365, 1303, 1973, 2997, 529, 525, 9, 537, 589, 669, 634, 2833, 327, 1574, 3748, 2118, 230, 147, 1427, 2387, 1378 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 493, 2569, 2722, 3102, 73, 1105, 3362, 4054, 1602, 3994, 531, 1094, 541, 541, 294, 581, 74, 2535, 1354, 1543, 282, 1249, 1082, 1657, 581, 344, 3862, 1030, 346, 840, 3385, 322, 1677, 1557, 2203, 3454, 1356, 1375, 2348, 1756, 2652, 1533, 1354, 1892, 2027, 2691, 1964, 2655, 1946, 2396, 3202, 1062, 3947, 1391, 3993, 2607, 692, 2133, 2703, 40, 575, 1537, 3260, 3079, 488, 3846, 3985, 156, 1262, 1475, 2430, 3125, 3659, 3283, 125, 2061, 549, 1340, 197, 3683, 1009, 3329, 2196, 427, 4061, 1544, 3694, 2537, 376, 2282, 3372, 2182, 2826, 89, 1442, 2549, 42, 2077, 369, 2749, 2399, 1703, 3078, 3191, 1292, 2288, 256, 1443, 3439, 126, 3312, 3292, 3846, 1050, 2696, 1930, 344, 3068, 2007, 4037, 285, 1682, 2707, 957, 1035, 3257, 509, 98, 932, 3016, 3, 2, 3178, 3296, 605, 346, 1195, 1350, 3594, 3845, 137, 3525, 476, 3411, 1797, 7, 1029, 25, 5, 5, 1900, 2191, 902, 1286, 1420, 2121, 121, 351, 1509, 493, 2022, 2237, 1213, 2524, 2204, 2177, 3605, 1898, 2271, 2347, 611, 1370, 2806, 248, 346, 1365, 1385, 41, 3590, 269, 99, 227, 3969, 17, 5, 503, 822, 3906, 1746, 3866, 1191, 2266, 3599, 883, 523, 901, 872, 2622, 455, 18, 1037, 3205, 520, 1925, 3532, 3842, 3999, 1938, 1830, 1301, 349, 2237, 4083, 3525, 2022, 2994, 1349, 3445, 538, 3797, 1341, 3767, 1391, 3459, 2009, 3454, 1927, 2760, 3557, 2278, 311, 2581, 59, 189, 3662, 709, 530, 2884, 135, 1352, 1892, 2949, 1518, 1672, 153, 325, 1497, 2586, 2710, 1367, 679, 1184, 2506, 20, 3351, 1738, 2980, 57, 335, 3032, 1526, 3802, 203, 283, 589, 3145, 1666, 1769, 3912, 6, 3292, 801, 1849, 466, 929, 1248, 587, 3451, 573, 1375, 556, 1951, 1370, 1892, 2722, 2026, 1535, 35, 474, 3591, 1811, 4001, 2073, 582, 3475, 2957, 219, 860, 1228, 1532, 3738, 3882, 345, 2406, 1269, 337, 5, 1030, 11, 774, 267, 70, 385, 3418, 153, 1030, 3357, 134, 1798, 299, 181, 3943, 346, 3143, 3402, 3029, 1362, 910, 1568, 223, 1418, 1894, 1291, 3609, 2999, 394, 2279, 423, 1830, 2526, 3401, 1507, 3336, 1551, 3144, 2834, 378, 3418, 1370, 1581, 3346, 3302, 1125, 1777, 123, 2545, 102, 2278, 130, 2916, 2045, 1586, 1504, 2390, 3747, 1945, 1853, 1302, 2534, 1895, 2426, 4006, 1293, 1808, 4082, 2684, 2399, 95, 3295, 2027, 2687, 1660, 1679, 2220, 4007, 2668, 2216, 2774, 1726, 1328, 3834, 1089, 2163, 1894, 2903, 1879, 3239, 1711, 2138, 2743, 2477, 1906, 3450, 3070, 3857, 3077, 7, 1738, 3500, 1386, 1376, 310, 1578, 1724, 3933, 3313, 3866, 1962, 1912, 2331, 88, 1996, 2860, 2273, 678, 406, 2124, 25, 885, 1194, 1084, 277, 261, 1119, 1294, 531, 1337, 2332, 1722, 1353, 39, 341, 74, 88, 74, 2309, 1050, 1517, 889, 3000, 3921, 1599, 840, 2825, 372, 1669, 2110, 1768, 1695, 1074, 3686, 1298, 3851, 597, 2010, 1152, 2379, 331, 429, 3121, 2366, 963, 2295, 1580, 2152, 1250, 3972, 4037, 2084, 2625, 2884, 280, 769, 2295, 973, 3889, 1983, 698, 3165, 389, 1404, 1948, 1472, 3978, 1355, 2036, 474, 4000, 2525, 3817, 12, 1376, 2674, 2146, 1350, 3781, 2192, 2189, 2201, 1959, 551 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 524, 2843, 2563, 2316, 1383, 1371, 3136, 1844, 776, 3525, 3955, 3072, 3636, 2701, 72, 3129, 290, 2995, 2179, 2149, 424, 724, 3426, 2653, 1479, 1759, 1955, 966, 1514, 3913, 845, 2261, 3081, 1100, 2249, 1369, 29, 2382, 1320, 1145, 74, 86, 262, 1366, 1038, 3602, 3725, 261, 1826, 3597, 2009, 1429, 945, 1733, 124, 1042, 2312, 1075, 1322, 519, 70, 2106, 915, 857, 554, 1539, 490, 1288, 1293, 522, 1406, 1240, 1041, 209, 2396, 1881, 2453, 122, 3402, 585, 90, 3274, 58, 1098, 506, 350, 1969, 2080, 129, 3641, 3146, 356, 3727, 1464, 2254, 1707, 3999, 50, 3882, 393, 3426, 1239, 83, 582, 154, 3019, 3692, 966, 137, 2314, 6, 1034, 2437, 1321, 315, 670, 1913, 1057, 156, 1976, 604, 3690, 2412, 2692, 710, 474, 1308, 913, 969, 1718, 1387, 2082, 2569, 381, 547, 1789, 1391, 480, 891, 165, 977, 847, 3129, 505, 227, 2209, 3227, 786, 394, 1301, 2393, 278, 269, 26, 2117, 3159, 345, 781, 290, 1518, 2201, 361, 3279, 1563, 854, 2797, 3701, 2596, 778, 1306, 190, 1285, 2074, 1370, 1113, 2394, 1367, 28, 3916, 1384, 1491, 1678, 2842, 1325, 2443, 1355, 2028, 2559, 1378, 2282, 1427, 706, 352, 2478, 1386, 2135, 349, 683, 1534, 3707, 639, 373, 2790, 1498, 17, 1484, 647, 97, 2536, 3763, 426, 2799, 2754, 1946, 1642, 1882, 1370, 1502, 3694, 3209, 483, 1545, 1356, 947, 799, 3880, 554, 2106, 1714, 113, 801, 829, 467, 767, 463, 1861, 611, 3852, 349, 1290, 1058, 525, 481, 2427, 610, 2090, 1410, 2823, 1535, 4086, 3909, 1594, 2122, 873, 495, 2884, 4086, 14, 2201, 3568, 773, 3427, 2853, 2171, 374, 1417, 2238, 3619, 2625, 2964, 616, 3229, 3879, 973, 2053, 3880, 3208, 3178, 8, 1971, 488, 3664, 486, 2150, 3938, 2285, 2137, 2487, 341, 2380, 2578, 3638, 3788, 3280, 766, 711, 965, 757, 968, 3196, 219, 3072, 4034, 1606, 1865, 53, 1004, 923, 1781, 1045, 1360, 519, 1241, 1435, 1178, 2101, 3921, 3671, 1374, 343, 1098, 1109, 403, 166, 1389, 117, 1566, 3830, 1297, 1945, 2405, 2064, 2138, 2771, 21, 3722, 2805, 37, 328, 3200, 2080, 561, 69, 3246, 53, 2450, 2281, 2390, 1200, 3281, 1123, 2159, 432, 3845, 1525, 815, 2281, 661, 1832, 655, 2829, 2713, 2064, 281, 2344, 602, 717, 2395, 339, 935, 611, 1890, 3012, 1264, 3086, 1434, 1868, 1525, 478, 1999, 2020, 2274, 2378, 1447, 559, 2364, 3898, 327, 2645, 2599, 3407, 342, 176, 133, 3527, 2880, 2901, 3703, 131, 133, 1370, 1690, 1970, 2332, 1968, 3078, 2556, 3647, 650, 2076, 2011, 1375, 1628, 1664, 3414, 3994, 1051, 3436, 939, 3166, 1092, 1965, 885, 1395, 631, 391, 3862, 1916, 266, 3725, 773, 283, 3210, 1361, 3799, 352, 1405, 1349, 2037, 85, 1291, 349, 3164, 1117, 1349, 554, 2076, 902, 453, 327, 2848, 12, 1098, 1298, 409, 899, 1813, 3564, 310, 791, 277, 3370, 1492, 1273, 3169, 1319, 350, 801, 1264, 1093, 8, 3353, 3154, 2002, 4069, 1462, 1050, 2505, 818, 858, 2292, 3350, 44, 411, 590, 4017, 3078, 330, 100, 569, 33, 237, 1584, 1407, 1380, 1444, 1396, 2606, 3491, 1837, 3012, 1078, 1517, 325, 5, 1294, 1033, 1045, 282, 2402, 1428, 2572 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2072, 99, 2001, 721, 608, 588, 352, 604, 116, 100, 914, 1956, 455, 1997, 461, 2510, 548, 484, 999, 1022, 1305, 3110, 3737, 31, 1469, 998, 1797, 3035, 3325, 2574, 3353, 1556, 993, 2061, 1689, 3430, 3629, 3660, 1996, 2332, 494, 3581, 2541, 1453, 972, 2029, 796, 1998, 2777, 977, 1309, 30, 3792, 282, 1931, 1930, 2823, 1404, 2612, 274, 2788, 3698, 2589, 14, 3053, 126, 1665, 98, 1556, 2157, 1859, 1839, 3089, 1545, 47, 1031, 1820, 2566, 1960, 2761, 2618, 2686, 1749, 493, 2569, 217, 2290, 2649, 618, 1443, 2573, 1484, 1661, 1746, 2338, 22, 330, 325, 21, 14, 2376, 2381, 3638, 1226, 1546, 2488, 2652, 1453, 527, 1141, 2069, 1106, 3164, 373, 69, 1378, 1418, 457, 789, 2405, 1389, 588, 945, 629, 3786, 2841, 795, 3398, 23, 116, 1129, 3284, 3434, 3112, 2390, 630, 501, 85, 1493, 1290, 262, 1926, 1044, 3161, 599, 3486, 3098, 265, 344, 2138, 1341, 1363, 7, 802, 1090, 142, 3089, 3628, 1592, 1477, 475, 3465, 89, 3082, 344, 1462, 1795, 717, 3633, 140, 1704, 263, 73, 1418, 236, 2878, 2924, 3064, 2934, 392, 1508, 3320, 2775, 1179, 3320, 3587, 907, 3296, 3276, 3251, 2559, 1015, 402, 4021, 2563, 402, 3552, 3235, 778, 3740, 4021, 1509, 3202, 3740, 3016, 2560, 3699, 2872, 1414, 3215, 3868, 3728, 1414, 3572, 1916, 3219, 258, 3983, 3557, 492, 3275, 226, 1772, 3969, 2563, 1782, 2533, 3704, 3583, 200, 1526, 442, 3167, 870, 3525, 1931, 1729, 3891, 395, 132, 2248, 556, 3744, 2308, 2437, 646, 2279, 2444, 3578, 3586, 3854, 117, 3944, 3292, 2229, 2891, 2068, 370, 3831, 1528, 1338, 3830, 3638, 2970, 501, 504, 3176, 3201, 2925, 347, 1517, 3000, 3078, 2847, 2332, 511, 467, 471, 3132, 3729, 3455, 486, 248, 155, 3192, 3689, 2443, 2347, 3327, 3189, 2459, 1701, 1911, 1544, 2476, 3137, 3574, 150, 3737, 390, 2358, 378, 2019, 1132, 2988, 199, 399, 2092, 2614, 3624, 2866, 1526, 355, 3284, 3994, 3464, 918, 4024, 2267, 369, 1499, 1738, 258, 2578, 944, 3089, 3676, 396, 812, 2220, 2469, 3964, 2475, 1383, 2054, 2996, 3192, 3735, 3077, 2552, 3584, 520, 3228, 1144, 3464, 454, 3214, 3305, 910, 2490, 3084, 3990, 3317, 1782, 3732, 1535, 1489, 1698, 3843, 2108, 3156, 3722, 2070, 424, 3123, 952, 779, 888, 3313, 199, 1790, 3768, 997, 3463, 2104, 458, 1471, 3941, 3905, 3108, 3462, 2611, 906, 340, 2444, 3084, 3991, 3092, 2908, 3452, 3326, 2504, 975, 6, 107, 3187, 860, 3177, 2536, 2918, 1590, 3114, 1023, 108, 2799, 366, 2683, 3189, 1753, 2382, 617, 2279, 2433, 1376, 3274, 1726, 2870, 3676, 3086, 771, 146, 1446, 30, 2501, 1385, 1477, 859, 2695, 3104, 3097, 2406, 3402, 3087, 461, 58, 1528, 3429, 3118, 723, 1550, 128, 637, 83, 655, 2603, 3335, 1311, 147, 252, 156, 2472, 635, 2387, 3327, 224, 3274, 3294, 1158, 3739, 209, 1415, 3271, 2495, 3271, 135, 2199, 1287, 1519, 1526, 2296, 3301, 364, 440, 1093, 2908, 2488, 3989, 1077, 6, 202, 1370, 22, 1493, 389, 40, 3593, 72, 1209, 2057, 1354, 3454, 1497, 1114, 1062, 2395, 1581, 1879, 2139, 349, 2285, 1447, 1106, 2502, 3919, 1372, 2029, 25, 269, 1064, 2363, 85, 261 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 5, 1029, 31, 921, 1251, 3502, 1541, 613, 298, 383, 2277, 844, 2339, 348, 3454, 3196, 3710, 3658, 1949, 2444, 1929, 733, 2266, 1421, 348, 1868, 1916, 1920, 2942, 2403, 3556, 2510, 1505, 25, 274, 1384, 683, 1773, 419, 2083, 2176, 58, 2536, 460, 3717, 1050, 3515, 2522, 1923, 3402, 1669, 1753, 169, 21, 624, 2451, 1306, 2206, 1674, 1627, 1418, 1762, 1370, 1371, 3929, 2913, 1354, 278, 3781, 2035, 550, 1400, 2028, 538, 1578, 3235, 3163, 2419, 1435, 766, 32, 906, 1573, 9, 2093, 2225, 63, 348, 2250, 3419, 1178, 1108, 1853, 3707, 1992, 3157, 1627, 3121, 602, 1098, 342, 1290, 1145, 454, 1370, 70, 565, 1814, 1314, 980, 3602, 612, 3575, 1643, 1349, 265, 2907, 1351, 3291, 3755, 1386, 3421, 274, 2659, 3452, 3633, 35, 17, 98, 1085, 11, 3813, 5, 753, 2193, 3857, 123, 9, 1499, 3319, 3839, 3746, 2378, 1240, 2821, 1853, 3837, 3977, 1692, 2557, 5, 3116, 3932, 3639, 3905, 2226, 1334, 3706, 2650, 1453, 4046, 2054, 3557, 1022, 4085, 13, 5, 8, 979, 1025, 490, 2212, 4032, 2142, 1534, 3163, 2914, 1497, 3384, 3453, 3661, 2321, 5, 1577, 1051, 473, 479, 1044, 538, 1240, 2247, 1895, 1957, 776, 529, 3801, 3619, 1374, 2450, 3594, 3676, 3546, 3454, 3986, 1874, 2034, 1944, 476, 1501, 1549, 3731, 138, 394, 3390, 3602, 3986, 1891, 1959, 1954, 1503, 1561, 1754, 3375, 2174, 2411, 478, 1411, 355, 351, 265, 273, 154, 1394, 3439, 2045, 601, 514, 1493, 1875, 1810, 3115, 158, 3454, 3498, 1508, 201, 1151, 1718, 1494, 2373, 810, 3271, 1934, 12, 1087, 486, 1286, 3404, 1637, 3434, 1429, 2821, 2821, 3, 2, 3438, 134, 3569, 1641, 3535, 743, 10, 1490, 4046, 3884, 4033, 1021, 2189, 638, 151, 629, 76, 2990, 1405, 1529, 1916, 2995, 378, 3386, 2124, 2381, 2189, 2189, 2254, 580, 1244, 4056, 2314, 1535, 1386, 4054, 85, 885, 1445, 1962, 3226, 136, 1573, 1095, 515, 477, 286, 3096, 1500, 2402, 399, 602, 2627, 2079, 372, 1503, 1912, 2628, 1173, 2366, 3052, 686, 2030, 1759, 1467, 2418, 2691, 569, 3451, 3446, 860, 2804, 2538, 2791, 1341, 3370, 1998, 90, 1059, 2973, 1115, 3815, 979, 877, 945, 974, 162, 3614, 3614, 3618, 3170, 3554, 3298, 3287, 3986, 214, 3281, 3554, 3538, 3781, 2300, 2816, 57, 387, 2056, 895, 404, 2547, 3968, 282, 497, 3832, 2141, 1590, 730, 1630, 2717, 3427, 773, 3577, 8, 1297, 1286, 858, 154, 3624, 2338, 931, 65, 342, 1384, 3598, 1813, 289, 1811, 1302, 1418, 1116, 1254, 3656, 50, 3145, 1469, 282, 1127, 281, 37, 3317, 266, 1412, 229, 518, 1797, 2081, 3797, 1300, 2273, 1389, 4039, 837, 981, 3337, 1046, 345, 349, 136, 1118, 346, 486, 1806, 1434, 2440, 2328, 2310, 629, 1176, 263, 3029, 859, 1144, 4022, 79, 2517, 1148, 92, 4098, 378, 18, 3450, 2893, 630, 1814, 2617, 2232, 242, 1405, 2087, 3044, 2460, 621, 4066, 3545, 3512, 2587, 2487, 1408, 3628, 1972, 2477, 35, 3976, 1188, 3525, 1562, 2536, 556, 2916, 2858, 486, 538, 426, 1376, 4097, 2821, 256, 3802, 3546, 3572, 2540, 2646, 1378, 4006, 1378, 1388, 1366, 348, 1962, 348, 1466, 1530, 1379, 1634, 1370, 1370, 3610, 1954, 4003 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3937, 2488, 282, 330, 3454, 3082, 3708, 1134, 3007, 4050, 2670, 1451, 3951, 1712, 1710, 3515, 2607, 131, 2795, 938, 3500, 3354, 3436, 2540, 2540, 2556, 742, 1300, 2400, 2150, 262, 5, 2365, 242, 136, 2086, 3084, 248, 2800, 3048, 776, 476, 2824, 520, 3692, 1989, 4052, 4084, 3969, 1556, 541, 3852, 4087, 1352, 2804, 2620, 3060, 785, 3614, 3532, 2981, 1948, 342, 1935, 2557, 682, 435, 2989, 1535, 2148, 2611, 2602, 576, 2194, 4019, 342, 1897, 2703, 1671, 135, 1727, 3846, 21, 1690, 3996, 3674, 3098, 332, 1402, 1306, 1372, 1379, 1562, 2394, 356, 2411, 2929, 1240, 3425, 1305, 1305, 1305, 1305, 1301, 1226, 390, 1373, 2050, 1338, 2974, 1480, 1374, 1496, 2434, 429, 1312, 1312, 288, 1328, 1328, 1315, 674, 286, 2122, 1262, 570, 138, 358, 1017, 1052, 1862, 3427, 1142, 4000, 510, 1437, 3007, 1690, 1001, 3209, 1868, 268, 456, 3846, 3900, 3852, 3854, 1177, 1146, 1108, 1575, 86, 3658, 1320, 1291, 3127, 331, 3641, 1293, 438, 859, 1281, 1178, 1577, 3449, 1301, 356, 1121, 356, 362, 317, 3716, 3937, 2113, 122, 1638, 332, 3895, 5, 476, 3147, 1118, 1322, 1097, 121, 1145, 1097, 1129, 890, 3113, 1187, 738, 1404, 1818, 1440, 3514, 144, 1606, 1990, 134, 1646, 4078, 2053, 969, 2950, 2189, 2192, 2893, 2189, 2189, 1164, 3988, 2573, 2057, 2594, 614, 558, 773, 2074, 3684, 38, 1453, 1407, 3341, 115, 1498, 1882, 353, 1408, 3591, 1884, 3205, 1742, 2074, 538, 90, 2521, 3185, 384, 1396, 1004, 598, 790, 868, 3410, 2563, 958, 277, 121, 2147, 706, 1575, 1425, 1088, 856, 1052, 273, 3451, 2220, 1070, 3446, 471, 940, 2275, 4069, 900, 3015, 3873, 2596, 2534, 3629, 3352, 3727, 1863, 3751, 1453, 3180, 1850, 1923, 381, 186, 1309, 2122, 1133, 1094, 82, 3555, 1721, 1107, 3883, 3352, 1383, 1738, 1093, 274, 518, 3682, 1498, 3427, 1498, 3684, 1385, 3155, 1138, 791, 54, 529, 1158, 3978, 97, 2359, 1769, 1933, 2153, 1930, 1178, 422, 2558, 984, 1937, 1523, 2467, 2978, 1306, 1703, 534, 290, 278, 278, 1302, 278, 3350, 278, 279, 474, 3352, 3453, 1625, 1290, 4005, 1033, 1704, 1306, 455, 1125, 2337, 1541, 5, 1522, 543, 3622, 574, 986, 278, 341, 2397, 2121, 2058, 2105, 2058, 2057, 2057, 2057, 2124, 2373, 1214, 1163, 3866, 1897, 1970, 2925, 1144, 1422, 1313, 1357, 2186, 1835, 3082, 1814, 70, 1340, 1414, 2792, 1725, 1443, 748, 2144, 3610, 1930, 3574, 1341, 1395, 3424, 2137, 741, 565, 2822, 3975, 519, 3335, 149, 2061, 1209, 3460, 2720, 4013, 3862, 3649, 1938, 428, 3517, 3865, 3736, 3933, 3610, 1372, 4072, 3202, 3124, 3909, 1253, 509, 131, 36, 2101, 4040, 1528, 2854, 2100, 2152, 623, 794, 2956, 457, 3589, 2536, 858, 538, 3974, 2536, 2394, 617, 2915, 919, 263, 3725, 1159, 278, 508, 1350, 3873, 2249, 2724, 3026, 3041, 1781, 1565, 3850, 2308, 241, 2412, 1645, 3870, 1598, 3131, 1938, 1644, 3125, 840, 1077, 852, 3400, 264, 402, 3428, 722, 3429, 1375, 609, 312, 3845, 2132, 3027, 2121, 1868, 1145, 1868, 1145, 1868, 1131, 168, 2759, 453, 2771, 3656, 798, 1797, 3159, 3080, 1359, 881, 3455, 2673, 3525, 1637, 3457, 1810, 1435, 975, 2259, 3829, 2465 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2396, 3135, 1416, 1393, 2392, 603, 2202, 44, 353, 189, 610, 2105, 263, 44, 2450, 2821, 609, 3133, 3762, 1342, 2913, 387, 861, 2306, 2695, 1244, 926, 1576, 3214, 2982, 1366, 3542, 3362, 3552, 3444, 3563, 687, 2173, 1932, 2189, 2190, 2466, 1518, 2530, 1317, 2069, 190, 1756, 1560, 2440, 2250, 3194, 2087, 906, 1449, 2461, 3604, 722, 721, 732, 565, 4093, 3796, 577, 1825, 2850, 2150, 2951, 229, 2144, 893, 2381, 1961, 1611, 3350, 441, 1138, 288, 1915, 1099, 1100, 961, 1099, 1916, 2928, 1647, 2509, 1532, 2148, 1148, 460, 1195, 3742, 3899, 3841, 1902, 3997, 3489, 1960, 617, 1713, 479, 1836, 1716, 2527, 2028, 1700, 2527, 1992, 3745, 3778, 2555, 3301, 3557, 3560, 1925, 3455, 4031, 1482, 1147, 2618, 3107, 2526, 1527, 2827, 2827, 1803, 2827, 1995, 2876, 1803, 2659, 2656, 2161, 2668, 2660, 347, 4070, 3974, 2462, 2296, 1358, 1802, 3543, 555, 3838, 1884, 1946, 1818, 3161, 1123, 2859, 227, 456, 476, 1484, 1996, 1804, 1804, 1036, 1036, 1852, 1852, 2876, 1993, 1996, 1996, 1996, 1852, 4008, 156, 1951, 3162, 3071, 652, 460, 459, 1659, 1954, 1994, 2514, 3276, 452, 758, 1525, 353, 657, 1469, 2765, 2093, 21, 2765, 3717, 3626, 1012, 2712, 684, 3686, 3530, 1932, 1895, 404, 1766, 2486, 1587, 416, 2164, 3518, 3655, 928, 2153, 526, 2951, 1795, 913, 58, 1533, 632, 530, 2879, 1795, 323, 3162, 1546, 868, 2269, 3775, 2625, 2458, 3694, 624, 2509, 1613, 2075, 1428, 3676, 4006, 3307, 148, 3114, 3716, 830, 4051, 1975, 2553, 3713, 613, 425, 2118, 1030, 597, 1002, 1044, 2292, 2066, 1365, 2393, 98, 1855, 2031, 473, 2585, 2585, 2654, 3756, 2478, 1121, 3421, 472, 2125, 68, 2957, 1916, 3084, 2390, 4057, 580, 1016, 2002, 2691, 1946, 2302, 244, 900, 1921, 3532, 3712, 3874, 4092, 3587, 1550, 1173, 3671, 1299, 346, 3744, 3744, 620, 1896, 1765, 1652, 1640, 1640, 1344, 3717, 448, 1484, 220, 1450, 1951, 1539, 2645, 2734, 1343, 2730, 143, 2062, 1685, 493, 2654, 3823, 347, 3809, 636, 854, 2871, 2024, 3840, 484, 2760, 3539, 2910, 1764, 3231, 1636, 92, 1071, 1864, 2691, 2245, 1343, 3098, 338, 1851, 3163, 137, 1343, 1290, 1244, 3910, 12, 1093, 291, 1035, 346, 2400, 1614, 1145, 346, 1350, 3574, 1163, 85, 74, 10, 1046, 1479, 1613, 902, 863, 2229, 1438, 3851, 531, 3173, 2396, 2510, 2227, 843, 1566, 3811, 1731, 3158, 3423, 1157, 1756, 107, 2860, 3472, 1548, 662, 2607, 943, 2413, 1419, 2053, 315, 2660, 2749, 1515, 382, 2991, 482, 1532, 2588, 2304, 729, 375, 973, 2701, 1226, 1417, 346, 3402, 789, 551, 3635, 561, 3224, 2284, 1536, 3074, 3764, 1919, 3074, 3416, 1540, 1566, 4003, 282, 1124, 3426, 3413, 2744, 3514, 1835, 603, 712, 3749, 2570, 2221, 691, 347, 905, 650, 1763, 2799, 383, 3744, 1393, 2929, 2375, 3162, 3676, 1562, 3954, 1290, 483, 501, 342, 3569, 2410, 3226, 33, 889, 975, 127, 110, 1376, 2797, 3706, 4007, 2416, 2574, 2743, 2433, 2705, 2420, 2548, 669, 2397, 3402, 1154, 3883, 3294, 3142, 552, 18, 3592, 1015, 3281, 248, 501, 65, 2680, 3649, 4040, 3137, 449, 280, 3702, 1034, 1494, 1263, 69, 1504, 660, 2057, 1865, 12, 2710, 3216 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2060, 3259, 3669, 2751, 643, 2914, 2122, 1555, 3627, 3240, 874, 287, 1404, 3516, 2453, 1356, 1772, 3338, 1960, 3866, 1224, 3939, 3201, 2852, 716, 4030, 3873, 2044, 98, 3876, 3331, 3776, 1379, 289, 1849, 902, 2614, 3168, 113, 695, 3172, 557, 890, 1992, 855, 326, 4066, 2513, 1489, 817, 1976, 970, 272, 2179, 1435, 3201, 1891, 3178, 3423, 294, 3998, 1662, 526, 3620, 2414, 2837, 1811, 217, 679, 3990, 1534, 450, 1263, 3981, 2382, 454, 108, 2294, 1442, 1795, 3723, 3589, 302, 2094, 2315, 1246, 1381, 1405, 619, 99, 349, 2395, 3709, 2906, 1171, 1760, 1740, 345, 1355, 3754, 2202, 2700, 1406, 1515, 3023, 1534, 3110, 1309, 2284, 1940, 3152, 3153, 2041, 1105, 1225, 3153, 1996, 3201, 1996, 3201, 1920, 3649, 1229, 3662, 3708, 4069, 2994, 1473, 621, 341, 3678, 3108, 2060, 3846, 2816, 3812, 2606, 878, 2594, 2031, 3002, 87, 3790, 1406, 3835, 3734, 1516, 381, 1832, 2917, 2916, 2772, 2237, 2858, 3823, 1442, 4003, 2225, 4050, 3309, 1903, 2055, 1695, 3119, 2215, 747, 1567, 3678, 2286, 3070, 2283, 419, 126, 2955, 3695, 574, 3289, 3472, 2570, 1308, 2143, 1887, 1887, 1883, 1775, 1759, 1571, 1563, 1587, 1631, 1883, 3932, 1967, 323, 3427, 2884, 4028, 3472, 3722, 2231, 1128, 1765, 2072, 2916, 2266, 1782, 1416, 3015, 85, 3399, 3180, 3024, 895, 64, 2568, 901, 3571, 2341, 2179, 2159, 648, 1269, 1670, 4096, 3579, 1939, 2612, 3772, 1958, 4079, 164, 3812, 2280, 3205, 257, 738, 1087, 4007, 387, 3238, 2960, 1724, 1774, 1957, 771, 2002, 3994, 222, 1298, 3883, 12, 3814, 2687, 2996, 3459, 2013, 2468, 2625, 2295, 969, 3880, 771, 2295, 880, 3762, 2335, 1416, 1933, 2053, 479, 1370, 2426, 3114, 1411, 2750, 1640, 3702, 3710, 2678, 1654, 1654, 1654, 1666, 1407, 1698, 1550, 2687, 1591, 3317, 3882, 18, 37, 858, 91, 2405, 1818, 1444, 3610, 3417, 4020, 2817, 1717, 1962, 1710, 1382, 2026, 2692, 4100, 4100, 4069, 4093, 997, 4083, 53, 3756, 1731, 2441, 392, 1334, 30, 31, 1408, 275, 4001, 780, 3748, 2659, 1685, 3887, 187, 1675, 58, 1648, 1663, 2988, 1724, 1904, 3709, 1001, 132, 1347, 3172, 3583, 1540, 2561, 2794, 2669, 2464, 2448, 2455, 3181, 2975, 620, 3736, 3626, 1528, 2051, 1282, 1683, 1683, 1683, 1683, 1107, 1219, 1205, 1336, 1959, 884, 3794, 3096, 92, 1050, 2778, 1754, 1868, 2319, 3045, 655, 2536, 2190, 2373, 3823, 2182, 3086, 3359, 3283, 1826, 2028, 2211, 912, 3636, 3419, 232, 1414, 2010, 3, 2, 2156, 553, 1117, 1417, 2117, 2401, 3526, 574, 4029, 2450, 76, 2122, 1925, 345, 1381, 868, 2145, 3911, 2249, 2878, 1429, 149, 3148, 117, 778, 1669, 2640, 2138, 2312, 266, 396, 2317, 861, 1955, 1087, 504, 3726, 2159, 1814, 2406, 3229, 797, 1652, 1817, 2086, 1324, 461, 1225, 620, 2602, 103, 1421, 2268, 2206, 1139, 601, 1722, 1631, 13, 845, 3579, 1973, 437, 4077, 210, 1854, 917, 1304, 3016, 1733, 488, 2981, 1126, 906, 3114, 3729, 2848, 2861, 631, 1389, 3966, 1125, 3972, 2626, 1427, 3086, 1753, 22, 727, 3976, 903, 1910, 3251, 2265, 1001, 37, 253, 3452, 1480, 966, 1976, 3089, 13, 3573, 387, 1477, 189, 211, 1151, 3297, 1701, 586, 3382, 275, 1497 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1800, 169, 33, 849, 3402, 3162, 3079, 1030, 3158, 2321, 169, 1110, 1034, 1669, 3771, 1809, 2450, 366, 3614, 2133, 3950, 8, 82, 2394, 3363, 3424, 1136, 338, 1389, 1905, 547, 325, 469, 478, 1722, 180, 2157, 2519, 1172, 2544, 8, 1992, 140, 912, 3904, 2229, 231, 8, 3069, 738, 3558, 3269, 1928, 3832, 3976, 579, 1090, 233, 966, 3856, 3713, 3894, 4038, 4038, 3383, 4086, 4086, 4098, 2244, 249, 4049, 696, 1601, 3789, 701, 2088, 2229, 642, 3024, 3955, 1154, 4006, 3414, 4045, 3752, 577, 4052, 402, 1782, 3019, 3936, 3833, 3477, 2394, 3435, 2683, 3902, 1557, 76, 2215, 360, 1765, 3514, 3838, 1631, 347, 2908, 2586, 3722, 1926, 1190, 1510, 1424, 3289, 1549, 3047, 467, 551, 3847, 727, 3992, 134, 1285, 1168, 21, 126, 1102, 3642, 4053, 400, 3021, 4023, 177, 1973, 827, 3828, 2423, 2040, 2216, 2741, 2469, 3052, 3783, 3080, 2607, 3013, 3687, 1632, 910, 2462, 2462, 2462, 2392, 3660, 406, 2458, 1822, 1809, 3691, 1399, 2388, 1004, 1397, 1917, 3032, 1034, 826, 297, 1032, 1093, 1157, 221, 155, 1132, 1818, 1285, 3703, 3369, 203, 213, 3179, 1221, 1431, 346, 278, 10, 1242, 627, 362, 3877, 220, 842, 3990, 3338, 1342, 1223, 1303, 70, 2090, 2084, 2366, 3445, 219, 2649, 1006, 875, 3446, 1373, 2355, 3183, 1643, 1527, 3424, 138, 2961, 1677, 1658, 1033, 1216, 2582, 348, 2077, 3637, 576, 2389, 297, 1511, 1285, 261, 2754, 1807, 3695, 1834, 1590, 1670, 2712, 402, 4051, 3817, 1904, 785, 1009, 3362, 2677, 1889, 621, 3937, 1572, 2996, 2899, 602, 3875, 3694, 2626, 86, 644, 2081, 622, 2685, 2022, 3721, 2602, 3645, 3166, 2670, 2973, 3966, 1389, 2654, 1097, 3934, 2619, 2398, 1582, 2492, 2294, 632, 2845, 2659, 3898, 2686, 2001, 493, 1666, 929, 1392, 1390, 1835, 2692, 2606, 1082, 3635, 2417, 778, 3709, 253, 3124, 26, 465, 1809, 1742, 1130, 1435, 1992, 3466, 3226, 3993, 2141, 3422, 2624, 3779, 2834, 632, 1574, 746, 1344, 2162, 1095, 606, 2030, 2650, 1604, 2925, 3240, 3118, 1854, 4073, 520, 2893, 1922, 3922, 1645, 1981, 2350, 3116, 3550, 2050, 3694, 3782, 3642, 3875, 2661, 292, 2141, 2622, 3602, 654, 1645, 1904, 1475, 3184, 351, 3081, 1966, 2536, 1412, 2066, 1381, 858, 2598, 765, 3108, 2648, 186, 1917, 3676, 2671, 3864, 569, 3458, 1661, 1043, 3953, 927, 3677, 2685, 2580, 3016, 2836, 1571, 1077, 966, 3554, 2692, 3021, 1842, 3712, 1083, 3621, 50, 568, 851, 1205, 133, 1402, 87, 1689, 2470, 1174, 378, 1177, 2110, 3479, 747, 62, 2550, 3134, 152, 2468, 1432, 3599, 3080, 3750, 2152, 1360, 2187, 1466, 92, 763, 112, 2412, 3015, 651, 673, 2033, 179, 1697, 1142, 1836, 1894, 423, 2986, 1446, 2469, 2898, 2530, 3434, 1906, 1998, 71, 3494, 2501, 58, 3197, 3080, 2523, 2536, 4022, 4059, 2283, 920, 170, 1445, 2083, 389, 742, 1739, 2978, 2455, 708, 685, 2507, 2682, 3167, 2274, 3721, 982, 1921, 163, 3882, 1633, 818, 806, 3496, 427, 2769, 336, 234, 1458, 2220, 90, 937, 1030, 104, 225, 1745, 1342, 1226, 519, 1111, 351, 475, 478, 1189, 373, 3130, 2663, 430, 3465, 3178, 3688, 2851, 1913, 2192, 2136, 651, 3394, 2416, 422, 3994, 1901, 3558 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2283, 841, 1010, 2267, 2764, 3258, 3852, 3412, 2290, 219, 894, 871, 2534, 3487, 1115, 383, 2300, 3189, 3322, 3430, 48, 631, 2947, 821, 1372, 1389, 2395, 64, 2432, 1531, 2535, 2987, 2064, 2280, 916, 406, 446, 3430, 1964, 1512, 3628, 915, 1926, 4003, 1408, 1674, 4034, 2389, 452, 1419, 2259, 2540, 2558, 3572, 2251, 2268, 620, 2248, 1256, 86, 1037, 3349, 97, 3367, 1077, 1213, 2337, 2402, 1854, 2653, 1086, 1814, 1878, 1892, 2074, 2845, 2022, 1379, 2469, 1374, 2596, 1390, 1830, 3757, 3106, 2674, 918, 2103, 3930, 2062, 1136, 2676, 792, 2146, 2850, 3437, 1562, 1589, 2654, 3440, 997, 3367, 1405, 1124, 2688, 789, 3082, 466, 121, 1168, 3575, 239, 89, 2319, 2591, 32, 2003, 1587, 3219, 1950, 455, 1949, 3614, 1292, 3784, 1767, 1784, 18, 1519, 925, 1535, 1628, 1723, 832, 3335, 1700, 3743, 1694, 1759, 1696, 1759, 482, 1979, 1441, 702, 2543, 127, 666, 1731, 3227, 1719, 167, 3712, 3981, 1460, 95, 3763, 2029, 2960, 2394, 1994, 2033, 1491, 767, 776, 1380, 2976, 1860, 1300, 3799, 2140, 1171, 1375, 163, 800, 160, 1979, 1735, 1952, 1460, 2781, 679, 1291, 1759, 931, 2283, 2972, 2972, 1120, 2720, 2979, 1719, 1884, 404, 2181, 3535, 770, 706, 4031, 3580, 528, 2068, 1255, 3995, 1503, 1435, 1487, 699, 653, 3092, 1010, 1648, 3327, 200, 863, 1443, 956, 1948, 476, 3721, 3821, 503, 908, 3716, 1099, 1476, 487, 2014, 2825, 223, 1381, 3101, 526, 4008, 1498, 3626, 3594, 902, 2001, 750, 2791, 2088, 2506, 1064, 923, 1937, 4026, 1169, 2336, 3460, 3192, 2954, 3809, 3547, 1360, 2009, 59, 536, 2053, 1150, 206, 565, 646, 1030, 3353, 102, 378, 341, 538, 2262, 81, 1162, 3138, 1419, 3616, 1273, 269, 844, 2283, 3531, 1567, 2092, 1282, 790, 1118, 269, 549, 3037, 2210, 1549, 2114, 106, 3068, 854, 128, 8, 1124, 2273, 21, 678, 343, 2586, 2622, 603, 3301, 1570, 2009, 909, 1501, 916, 3995, 1949, 784, 3538, 2002, 4013, 558, 2395, 901, 638, 170, 6, 1161, 484, 275, 68, 775, 1416, 3116, 2836, 130, 1583, 646, 2408, 2131, 2177, 1110, 2246, 1261, 145, 1140, 197, 2433, 1846, 2133, 2578, 1930, 1756, 3865, 2734, 1365, 165, 1578, 3094, 1627, 1499, 1638, 1427, 2035, 1403, 3811, 2969, 2612, 1997, 2015, 2603, 2214, 3121, 1663, 2943, 2980, 812, 3137, 3645, 2285, 3125, 2981, 3365, 1971, 3686, 2212, 2142, 2926, 4020, 2198, 1994, 2888, 2028, 2582, 1691, 2159, 288, 3481, 1477, 1214, 1512, 3525, 1630, 3915, 423, 1415, 1175, 3823, 211, 2551, 1087, 954, 2713, 2937, 85, 1671, 354, 3397, 1086, 1042, 4023, 313, 103, 799, 3090, 104, 1462, 3930, 354, 2450, 52, 3238, 2925, 866, 2926, 2150, 1812, 2411, 2134, 2066, 732, 2226, 882, 1902, 2925, 1638, 2157, 752, 2672, 3178, 2670, 2670, 3444, 116, 618, 3426, 1650, 2686, 2227, 2220, 349, 3434, 1662, 2613, 2653, 3490, 2673, 1884, 1630, 2013, 3638, 1791, 1510, 2539, 2231, 3419, 3236, 802, 1342, 2436, 3620, 2402, 853, 116, 3452, 2529, 3677, 1982, 2596, 2398, 4098, 3333, 3649, 1301, 3646, 89, 24, 2617, 1305, 2411, 3730, 2658, 3173, 3930, 1522, 2743, 2036, 797, 1862, 1028, 107, 3611, 3933, 3090, 2670, 1677, 3902 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3154, 1660, 2028, 1502, 437, 3333, 2297, 18, 1824, 474, 1349, 2316, 1036, 3164, 1197, 2409, 4056, 2043, 1885, 40, 3829, 472, 3584, 3824, 1661, 2813, 1134, 1507, 429, 548, 2586, 3696, 2785, 4067, 2526, 1971, 2715, 3011, 2541, 1301, 490, 89, 1494, 1658, 1221, 2201, 1392, 377, 1499, 924, 2234, 1109, 620, 16, 403, 1891, 2963, 1076, 1891, 2185, 3461, 3717, 2069, 2134, 1809, 475, 3674, 1047, 2646, 1366, 1346, 2962, 1671, 1181, 3421, 3338, 554, 1050, 1165, 1062, 294, 345, 1405, 355, 605, 1578, 1001, 1805, 1290, 547, 1046, 1235, 3611, 3209, 1384, 3810, 1356, 1357, 365, 293, 1107, 2852, 10, 845, 1050, 1670, 1285, 73, 282, 2305, 3597, 97, 1178, 2013, 853, 3591, 702, 3078, 1734, 1041, 1818, 3130, 3098, 562, 3408, 1881, 4094, 1500, 853, 390, 3036, 3595, 450, 2033, 2255, 2202, 2534, 2075, 840, 2396, 2970, 763, 2490, 3587, 87, 1917, 1228, 2466, 3304, 2474, 2395, 3875, 380, 2283, 1130, 4016, 2101, 2515, 2486, 1399, 3356, 1374, 3541, 2117, 1109, 1092, 39, 530, 356, 2419, 2201, 2455, 387, 12, 1149, 3978, 3510, 2538, 2664, 2259, 1211, 2243, 2251, 603, 2282, 3880, 2492, 3830, 2475, 3178, 1777, 2483, 2994, 2412, 3964, 2539, 3203, 2553, 2278, 1514, 2412, 2426, 2539, 2486, 2176, 3788, 2523, 3131, 2408, 2870, 3754, 3092, 1851, 1914, 3328, 2480, 3057, 3963, 2562, 628, 2294, 3711, 395, 3969, 3666, 1900, 3707, 703, 3702, 2408, 113, 635, 3522, 3890, 1883, 907, 1929, 2947, 4050, 1386, 414, 930, 906, 1676, 3384, 1963, 1109, 1803, 3896, 2048, 3493, 344, 2847, 3443, 1211, 427, 2995, 4050, 4050, 3044, 2395, 2948, 883, 1887, 2842, 3946, 2419, 2187, 3034, 1494, 4060, 2532, 1516, 2540, 2538, 2773, 2507, 2972, 2805, 3178, 452, 2128, 2758, 3780, 1478, 1784, 2996, 2419, 1949, 2957, 2132, 2068, 1369, 1301, 566, 98, 1319, 3676, 4059, 490, 886, 2319, 1947, 2254, 2964, 2650, 3751, 703, 2474, 2239, 2902, 2424, 3179, 3516, 3653, 650, 3098, 2450, 2178, 3413, 2388, 3142, 1261, 1297, 2848, 693, 7, 13, 550, 2277, 485, 565, 2876, 3292, 2598, 3066, 218, 1827, 3174, 1780, 28, 634, 2446, 3563, 27, 1046, 5, 1046, 58, 1371, 1739, 1349, 1306, 3045, 637, 1550, 1353, 1354, 3657, 389, 1045, 1374, 1493, 3573, 542, 523, 864, 729, 2231, 3455, 797, 2075, 1206, 2998, 974, 3697, 1173, 1248, 274, 1541, 1349, 132, 2373, 69, 2286, 1125, 3673, 1427, 569, 495, 96, 3315, 928, 1996, 1443, 1704, 2971, 1704, 1232, 3979, 259, 1531, 2972, 2779, 1684, 3751, 3976, 1059, 1416, 1213, 2995, 1961, 897, 3893, 69, 2064, 2933, 2049, 3657, 337, 3119, 861, 2503, 1578, 4048, 1280, 163, 1717, 1203, 655, 3389, 2180, 2303, 2938, 2259, 2471, 2602, 3219, 2219, 3752, 2122, 3972, 2171, 2279, 2940, 3160, 3516, 3611, 3785, 1778, 2149, 3395, 2090, 3067, 2469, 48, 2243, 2176, 635, 3058, 3228, 2501, 374, 1189, 70, 2913, 950, 3877, 229, 1305, 1366, 1389, 1605, 1099, 1366, 485, 3362, 1313, 3206, 90, 1078, 1381, 1497, 2574, 1542, 1743, 461, 1422, 3493, 363, 1345, 478, 1479, 2250, 1467, 3417, 2009, 2320, 2394, 2383, 3867, 1397, 2346, 537, 1627, 775, 1360, 1088, 3693, 249, 1730, 3973 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3423, 791, 1480, 1548, 3564, 3556, 500, 3993, 1599, 460, 2977, 2719, 1772, 3683, 508, 3, 2, 2181, 218, 3562, 21, 565, 916, 1013, 3717, 1589, 273, 3563, 2567, 1537, 57, 1379, 2613, 378, 1953, 1923, 1334, 1371, 2533, 1338, 173, 1041, 3090, 3453, 1141, 278, 3239, 12, 2573, 99, 2808, 3729, 177, 26, 468, 1960, 773, 3609, 1277, 181, 308, 1863, 2049, 393, 1468, 1989, 965, 1046, 361, 1226, 1932, 2309, 5, 197, 326, 349, 1898, 2778, 459, 3435, 31, 1798, 3721, 1309, 679, 3340, 612, 63, 597, 2513, 2218, 1412, 4006, 3420, 1306, 3846, 538, 1667, 2086, 3455, 2822, 3748, 3669, 1353, 1890, 2255, 4068, 2277, 2060, 2288, 2072, 1990, 1181, 1165, 2192, 2438, 2501, 2947, 2300, 159, 2033, 225, 164, 3517, 776, 1504, 4007, 2221, 2399, 1372, 3596, 4100, 525, 789, 129, 2191, 2082, 3418, 2906, 771, 2876, 1798, 60, 197, 382, 3735, 1380, 4077, 2188, 3860, 475, 3290, 1668, 4100, 4099, 54, 4005, 3594, 1880, 2299, 3304, 804, 1640, 1925, 1862, 1324, 2615, 3145, 2980, 2701, 3081, 1380, 2789, 1354, 1987, 2137, 145, 69, 901, 1802, 1041, 1699, 1133, 426, 677, 1326, 1797, 1113, 581, 1863, 2141, 138, 3036, 2584, 130, 1378, 3676, 1617, 3049, 2065, 2055, 1964, 246, 3339, 2249, 35, 2057, 30, 299, 2349, 3146, 1727, 54, 1394, 1091, 9, 1799, 365, 1946, 1045, 105, 1225, 1626, 2393, 1338, 273, 1047, 839, 534, 1354, 1369, 3045, 4019, 1990, 4049, 481, 1503, 613, 102, 1379, 10, 3215, 2443, 906, 2528, 1222, 984, 1258, 1445, 939, 2395, 3387, 614, 2564, 228, 1097, 3818, 3151, 426, 1701, 1445, 1998, 901, 3108, 4027, 3928, 1409, 4023, 19, 3627, 3160, 651, 2527, 902, 1680, 2280, 3898, 2229, 867, 3731, 275, 2161, 1282, 3985, 1690, 1683, 1411, 359, 2219, 1919, 2987, 2502, 3788, 856, 364, 3179, 2552, 397, 1609, 1140, 2509, 2545, 120, 3032, 98, 111, 2956, 3727, 71, 1990, 3415, 3467, 3041, 1146, 2129, 399, 117, 2394, 2848, 2215, 421, 882, 79, 3128, 2768, 779, 18, 1676, 4006, 199, 2451, 1987, 4071, 102, 375, 3018, 3910, 67, 204, 928, 2001, 3978, 3654, 3986, 3975, 1383, 1927, 351, 387, 4006, 2300, 430, 1510, 1700, 2256, 2022, 2723, 2983, 167, 2187, 927, 615, 2993, 2472, 1450, 1423, 3909, 662, 2218, 1714, 1534, 1100, 3864, 434, 902, 1706, 2139, 3704, 396, 1235, 2283, 438, 1684, 576, 760, 2248, 2840, 3036, 1670, 1695, 1731, 695, 195, 3242, 1042, 3831, 2183, 1709, 1875, 2010, 1960, 3674, 206, 1896, 1061, 2138, 3688, 73, 454, 74, 3455, 3167, 162, 1832, 1285, 3589, 3735, 1053, 3141, 263, 3092, 1102, 26, 1237, 3671, 3209, 2650, 3159, 606, 1650, 373, 679, 1477, 1365, 2138, 5, 10, 261, 1882, 2030, 2358, 1877, 3724, 1533, 611, 2477, 991, 915, 1526, 285, 696, 3485, 992, 2780, 2038, 3044, 3573, 1787, 947, 1903, 1435, 1555, 267, 2949, 1649, 2722, 2466, 717, 1297, 293, 2812, 1272, 1230, 1131, 285, 559, 3562, 2274, 3750, 1748, 3345, 506, 1029, 233, 1993, 1004, 280, 2017, 1204, 3066, 1959, 3347, 2805, 1811, 3784, 356, 2000, 1804, 2624, 1518, 3784, 2026, 1524, 2368, 218, 3504, 3565, 1948, 2653, 1585, 685, 1552 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1816, 1197, 1764, 2609, 1689, 229, 1017, 2128, 433, 439, 1116, 3549, 2603, 1996, 2007, 3311, 814, 1496, 3021, 1437, 732, 431, 776, 1801, 1200, 1056, 3583, 296, 3521, 2591, 1965, 1186, 2962, 3531, 2734, 1300, 3376, 276, 960, 242, 1823, 189, 1669, 500, 3624, 228, 1292, 2580, 511, 2046, 3053, 2710, 2852, 2652, 2285, 2450, 1493, 3698, 1813, 1017, 1556, 3429, 976, 893, 1508, 124, 2636, 2002, 2508, 1588, 1007, 862, 1773, 2727, 1815, 2039, 2708, 3549, 965, 552, 3171, 2762, 2000, 468, 65, 1003, 1036, 3363, 1197, 1377, 977, 3360, 2068, 3613, 100, 3796, 3361, 1149, 3452, 2119, 129, 3149, 343, 263, 281, 1457, 1380, 1374, 1045, 330, 985, 1378, 1030, 790, 2508, 321, 122, 1123, 874, 8, 1729, 36, 341, 332, 812, 1446, 1880, 653, 858, 511, 3340, 2553, 853, 3847, 2680, 1401, 1626, 1451, 1386, 1948, 480, 4043, 2304, 2824, 2604, 552, 2549, 2499, 645, 2266, 3018, 2700, 2589, 3783, 1600, 3312, 2059, 1408, 3488, 1621, 2021, 774, 1910, 1314, 2488, 354, 538, 4076, 2423, 1555, 3362, 278, 293, 1098, 1846, 3197, 2230, 1338, 1692, 1479, 2322, 860, 3603, 42, 1809, 858, 1785, 2482, 398, 2135, 1290, 883, 90, 346, 2269, 3773, 3971, 2058, 859, 2682, 2092, 87, 326, 1802, 3067, 1741, 1626, 4058, 2010, 1539, 834, 1850, 1776, 206, 1635, 773, 3550, 3280, 570, 1308, 2528, 3617, 42, 1214, 1380, 2425, 943, 1032, 3670, 121, 337, 1403, 3519, 1402, 512, 2861, 473, 1306, 1831, 1202, 2181, 3943, 2906, 3846, 2358, 1409, 1350, 1037, 227, 3917, 2135, 2150, 2137, 470, 536, 281, 74, 2102, 1178, 1354, 89, 1653, 1002, 454, 89, 77, 364, 1044, 261, 1046, 23, 2531, 2310, 2148, 2391, 2465, 373, 1160, 1945, 138, 1293, 494, 352, 1412, 2602, 1122, 1192, 1402, 3608, 3395, 70, 1320, 25, 1164, 654, 1082, 3466, 186, 183, 2213, 693, 1016, 3040, 34, 3552, 4006, 1155, 2491, 1845, 766, 1405, 633, 1917, 2394, 3510, 3971, 2476, 1744, 622, 3902, 3902, 3904, 3305, 979, 2020, 1764, 3508, 3339, 2054, 1060, 1659, 1894, 626, 3661, 345, 3751, 1412, 2680, 748, 488, 3816, 2344, 2545, 1450, 2377, 3770, 1916, 2406, 2651, 1412, 1034, 1726, 1458, 1396, 2066, 813, 820, 3669, 1733, 726, 3107, 941, 3177, 67, 2398, 822, 3967, 1529, 582, 3115, 721, 905, 127, 1173, 74, 1316, 1914, 1477, 2843, 2054, 1287, 830, 417, 792, 201, 1605, 1243, 1370, 1379, 213, 75, 1241, 1309, 89, 37, 1349, 1323, 531, 226, 2417, 1349, 1479, 1374, 1330, 3162, 2174, 1825, 3419, 1359, 2159, 1071, 63, 573, 2376, 2986, 1762, 1982, 1380, 2627, 2615, 1922, 1235, 952, 2578, 1111, 243, 6, 347, 597, 3390, 3727, 348, 2438, 1306, 2573, 1555, 1643, 3423, 1370, 1369, 341, 2181, 347, 3541, 1884, 3675, 864, 2539, 1377, 3601, 538, 1158, 2420, 4100, 4100, 2181, 7, 2971, 3337, 1350, 1292, 1371, 1877, 475, 2228, 2907, 1693, 4001, 2518, 645, 1035, 278, 1568, 1532, 2725, 2616, 3622, 10, 1766, 3589, 418, 3590, 1500, 3214, 1836, 2539, 294, 3866, 3415, 1924, 1996, 2218, 1373, 1958, 1332, 3463, 1856, 1796, 2591, 822, 465, 2396, 3913, 117, 104, 6, 1370, 346, 1830, 2906, 3845, 1100 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1209, 1374, 3366, 1539, 341, 2850, 3333, 3802, 3786, 1786, 97, 378, 1625, 1934, 1356, 3358, 3448, 1862, 3527, 1548, 3852, 73, 1369, 65, 538, 3082, 1176, 2193, 1378, 1113, 638, 1867, 1030, 1866, 1306, 1413, 3398, 1377, 2137, 930, 525, 74, 1307, 348, 1879, 1370, 2601, 3454, 1210, 913, 2349, 494, 3448, 3833, 283, 185, 847, 3464, 776, 1881, 781, 2257, 2982, 2353, 3692, 331, 1861, 1542, 3340, 791, 860, 3992, 3159, 599, 710, 1559, 3278, 2744, 3845, 829, 3125, 3834, 346, 767, 1600, 3095, 3132, 2878, 3801, 3083, 3999, 2295, 367, 4042, 1282, 2868, 2835, 225, 2697, 22, 2233, 1213, 4007, 511, 3649, 4083, 1996, 455, 1063, 3878, 475, 3554, 3875, 3418, 458, 1923, 276, 2741, 1192, 2506, 3334, 2339, 4078, 2101, 2797, 686, 7, 2470, 1922, 1181, 4012, 885, 3645, 3304, 980, 3083, 3413, 214, 3554, 3554, 3573, 2051, 2294, 3865, 1120, 2628, 1542, 2668, 3034, 1928, 2528, 2653, 1625, 154, 131, 2285, 58, 1539, 2171, 1086, 1339, 133, 3228, 3984, 1764, 2600, 2614, 3679, 3689, 3637, 139, 3434, 431, 623, 2527, 2554, 95, 2263, 3551, 1880, 2823, 3419, 2057, 1354, 1110, 1323, 2783, 667, 2010, 1535, 1413, 877, 3156, 2822, 5, 21, 581, 122, 3841, 3146, 1818, 931, 1628, 544, 3946, 899, 1610, 1129, 2935, 3419, 3326, 2393, 3793, 1061, 2501, 3707, 39, 3257, 1177, 281, 334, 3619, 133, 27, 680, 11, 810, 550, 2398, 2330, 352, 1477, 3333, 3362, 3621, 717, 890, 3661, 265, 94, 1511, 1496, 22, 347, 394, 1364, 3164, 2908, 1807, 531, 58, 3285, 1502, 85, 3466, 133, 382, 1855, 2650, 1953, 268, 1461, 1750, 1669, 2323, 1049, 2938, 355, 2053, 425, 376, 4002, 2019, 1812, 1820, 474, 1013, 698, 1372, 2617, 8, 2389, 1515, 295, 1386, 1092, 1029, 973, 2450, 1386, 1081, 2124, 1814, 1834, 1658, 1625, 3190, 1050, 1104, 1113, 1162, 2991, 347, 1768, 1957, 2202, 2139, 469, 3336, 3752, 565, 408, 3097, 1469, 1931, 3283, 3335, 2143, 2093, 2413, 327, 581, 326, 1558, 1049, 1003, 1023, 4047, 33, 3111, 597, 1968, 4076, 1342, 1356, 811, 24, 120, 4028, 3133, 3627, 2270, 2619, 3109, 300, 669, 532, 2060, 1045, 273, 3092, 2183, 28, 3444, 837, 2045, 174, 3240, 533, 2086, 1561, 275, 519, 3082, 3711, 2284, 3148, 3665, 165, 257, 3112, 3237, 5, 133, 40, 1288, 2085, 697, 717, 3635, 265, 1289, 538, 72, 1516, 3097, 3577, 132, 1281, 131, 5, 1818, 3910, 1142, 3862, 1285, 2923, 26, 237, 534, 1592, 2255, 2380, 77, 3501, 328, 2054, 2723, 2133, 582, 1197, 538, 9, 1386, 166, 2053, 18, 3107, 1812, 3119, 2053, 1450, 2889, 72, 3909, 2138, 3568, 2086, 1065, 1101, 349, 2218, 1380, 1893, 2430, 1526, 1407, 1402, 1722, 1883, 3703, 865, 570, 3342, 3195, 220, 537, 858, 1557, 122, 3729, 316, 1479, 2030, 1425, 541, 60, 3581, 3333, 3414, 3274, 1857, 982, 74, 3845, 2120, 3561, 2053, 2912, 672, 1349, 3598, 1516, 247, 58, 1160, 2182, 122, 521, 1350, 2378, 2380, 1541, 1161, 3466, 2101, 1438, 241, 1285, 773, 2078, 347, 86, 1605, 554, 1222, 1576, 613, 2104, 2271, 2565, 1429, 3913, 1692, 1297, 3610, 2057, 3405, 2657, 3783, 75, 1292 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1515, 2141, 3849, 1493, 548, 2189, 1384, 4025, 91, 101, 3767, 1058, 4084, 1373, 2402, 1762, 2495, 2213, 2143, 2325, 294, 2607, 667, 1909, 472, 496, 282, 4026, 858, 1232, 2056, 552, 3545, 3598, 561, 2988, 383, 1186, 3304, 710, 537, 457, 491, 2403, 3060, 3637, 1491, 933, 2605, 887, 394, 45, 639, 57, 102, 290, 453, 2404, 3597, 3436, 3913, 521, 410, 2008, 3585, 3087, 997, 262, 1316, 2268, 158, 2021, 884, 820, 2360, 1403, 2041, 906, 742, 266, 2248, 2269, 389, 1346, 1338, 1016, 1446, 614, 2306, 899, 1966, 152, 3449, 24, 1369, 207, 33, 502, 1369, 212, 1361, 629, 2005, 214, 1078, 1358, 1387, 294, 3163, 2405, 982, 625, 1117, 1034, 509, 156, 1397, 1498, 1297, 1350, 570, 2698, 70, 2568, 1498, 2970, 242, 1690, 1096, 2202, 921, 2851, 677, 883, 548, 2570, 1932, 454, 1411, 262, 3605, 487, 166, 2884, 1025, 47, 3797, 3, 2, 384, 2722, 1681, 3950, 1695, 3151, 2766, 2403, 621, 3731, 3748, 2086, 1877, 2723, 217, 1930, 2374, 1291, 3713, 375, 1645, 3325, 607, 1644, 3672, 3052, 3914, 1455, 4075, 2906, 2586, 1716, 2850, 4094, 1939, 822, 1277, 1099, 497, 1303, 1929, 3427, 383, 2081, 2497, 115, 1371, 1519, 2062, 3057, 3862, 1066, 3651, 110, 1797, 4097, 3095, 194, 2410, 4086, 2824, 3137, 893, 3558, 520, 457, 1286, 65, 347, 588, 2653, 341, 490, 1030, 3358, 328, 477, 277, 477, 1081, 1369, 2060, 2310, 853, 3386, 3484, 114, 490, 298, 62, 3429, 1254, 1297, 1672, 3421, 3688, 2598, 2034, 811, 3061, 784, 3172, 2955, 2083, 2900, 805, 1957, 2362, 4007, 3025, 2872, 3507, 3026, 2470, 3220, 106, 1297, 3316, 3059, 29, 1242, 2017, 1870, 3156, 702, 1157, 2144, 3945, 3354, 1580, 986, 1545, 3276, 1274, 3391, 833, 1457, 1387, 2695, 2245, 2760, 2408, 1448, 2548, 3559, 1140, 2618, 3864, 3481, 2420, 2145, 25, 3298, 2605, 3477, 1332, 2326, 2913, 517, 2020, 201, 2898, 2406, 3679, 3097, 2277, 2724, 2942, 3495, 2578, 1375, 308, 421, 2465, 3014, 572, 1137, 1019, 1381, 2194, 4076, 2521, 1057, 1634, 2210, 789, 2535, 2949, 1866, 1392, 77, 1848, 2798, 3720, 3114, 2501, 1085, 2306, 4007, 2601, 1470, 2808, 203, 2544, 797, 4065, 2980, 2861, 3109, 3730, 3905, 3612, 2832, 2857, 492, 780, 608, 436, 3666, 2750, 1349, 4059, 2825, 3751, 1525, 3081, 328, 17, 345, 455, 345, 2835, 2599, 317, 3087, 83, 780, 75, 850, 1029, 1077, 365, 2344, 2371, 739, 1545, 102, 1030, 1628, 169, 91, 1397, 3496, 3079, 246, 2535, 510, 1033, 1890, 11, 2745, 2265, 837, 1290, 1117, 3161, 3402, 2400, 320, 2693, 424, 3995, 925, 3728, 1344, 1230, 2625, 1120, 3873, 3815, 1692, 2568, 3216, 429, 723, 1497, 2808, 657, 3886, 2741, 1776, 3304, 3615, 1390, 3904, 3773, 2251, 479, 1532, 346, 2416, 1207, 2353, 2209, 1700, 1677, 479, 693, 3831, 844, 3212, 4053, 1435, 1285, 2572, 3695, 2157, 3088, 3581, 3958, 2604, 3780, 3897, 1791, 257, 461, 2510, 3626, 2707, 3027, 1527, 1811, 2443, 766, 480, 1527, 2295, 2016, 1119, 1762, 145, 556, 3151, 2447, 673, 2608, 198, 3527, 3192, 2766, 2446, 3284, 160, 3488, 3040, 3540, 2276, 3711, 3404, 716, 1629, 2520, 510 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3632, 2273, 178, 2579, 2321, 501, 3747, 2305, 630, 780, 3403, 224, 2671, 714, 2911, 3851, 2073, 3317, 656, 3536, 2504, 3732, 11, 2211, 519, 349, 594, 3957, 3408, 886, 1679, 66, 1526, 2394, 1304, 3351, 2498, 3852, 4038, 1465, 2428, 3356, 1240, 966, 3398, 3862, 1912, 2092, 553, 21, 438, 1164, 75, 1036, 1143, 755, 1084, 5, 1155, 1047, 1386, 3354, 2378, 1114, 991, 1285, 1221, 3850, 1346, 709, 1829, 75, 1653, 69, 2296, 1989, 840, 2164, 2385, 1132, 3771, 1289, 998, 1674, 2722, 3594, 1369, 277, 1029, 108, 1285, 1121, 346, 2183, 538, 1370, 27, 781, 3237, 365, 154, 1606, 1237, 2413, 3340, 3364, 2412, 2173, 1113, 2245, 838, 1481, 1369, 165, 65, 581, 1314, 278, 3195, 1098, 1265, 504, 1882, 1541, 605, 782, 345, 334, 345, 89, 3453, 3645, 1445, 1334, 945, 81, 297, 2334, 3133, 1093, 810, 3402, 1528, 3336, 2604, 2095, 53, 1567, 108, 3510, 475, 437, 923, 2540, 2476, 3817, 3227, 2527, 3649, 2105, 177, 2037, 2098, 395, 4033, 3119, 385, 437, 2298, 2724, 2300, 1628, 2070, 1411, 3238, 3555, 4035, 1674, 1171, 3078, 395, 3406, 3839, 2146, 1370, 3192, 3139, 116, 2358, 3237, 3862, 2106, 3005, 3871, 3753, 566, 1670, 3854, 2427, 3196, 3774, 1289, 423, 3125, 1152, 1398, 2374, 263, 3211, 3595, 3540, 1298, 749, 2424, 1421, 901, 3429, 2698, 2652, 3656, 710, 2646, 2641, 1738, 3755, 3486, 4004, 3900, 1622, 409, 182, 1744, 89, 1197, 550, 2405, 3865, 3756, 2187, 19, 347, 1699, 811, 1398, 2653, 2345, 1981, 3982, 1153, 783, 3682, 2179, 3230, 3905, 2588, 3579, 133, 2090, 3586, 3451, 1700, 3953, 66, 1977, 1682, 3611, 1467, 890, 2646, 1458, 3108, 409, 126, 383, 1546, 2261, 130, 2892, 1600, 49, 3141, 1033, 69, 1093, 1043, 14, 274, 3546, 810, 1342, 1925, 1302, 1046, 714, 1370, 858, 601, 397, 1606, 25, 1318, 2362, 330, 1126, 1097, 1398, 1365, 474, 3550, 1130, 1113, 1295, 352, 114, 1045, 3148, 1102, 2181, 130, 278, 5, 3338, 3908, 2266, 2250, 2327, 1959, 402, 3450, 3337, 3089, 725, 60, 1242, 1861, 330, 2082, 342, 1353, 42, 3161, 1805, 569, 378, 3712, 186, 220, 3106, 2885, 1319, 354, 964, 1948, 12, 2071, 438, 3982, 246, 2618, 713, 755, 2190, 953, 2257, 799, 2109, 134, 3423, 2910, 2850, 3183, 2200, 2559, 3445, 3237, 4063, 705, 415, 269, 3775, 1375, 2142, 1715, 3638, 3499, 373, 2191, 3455, 282, 2074, 551, 3176, 3056, 72, 3163, 159, 2504, 1504, 2016, 85, 10, 1680, 1709, 3730, 3992, 2993, 817, 2948, 971, 2923, 4005, 4038, 1884, 1153, 449, 14, 1044, 638, 2266, 3319, 935, 3514, 2470, 3404, 1355, 28, 2044, 118, 291, 1447, 1703, 2183, 1695, 3659, 488, 2881, 1699, 1734, 1856, 1423, 1434, 77, 3587, 930, 1094, 1154, 1358, 3382, 3871, 3773, 12, 1471, 3385, 2517, 3879, 2541, 3015, 402, 3195, 2174, 3679, 3766, 3200, 1425, 2027, 2056, 3220, 1191, 3025, 104, 2060, 1187, 2056, 2060, 61, 2433, 38, 1912, 2498, 1636, 1946, 3857, 611, 1561, 2597, 3132, 2195, 1366, 538, 1531, 2004, 1303, 7, 1817, 2330, 2345, 901, 1802, 1334, 1273, 3093, 3881, 3658, 2977, 1073, 284, 2201, 25, 2870, 19, 1506, 1049 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1244, 1962, 2329, 2120, 684, 66, 346, 2326, 917, 2514, 289, 3300, 15, 266, 3173, 357, 1313, 1375, 3645, 644, 2973, 2287, 341, 3610, 89, 2074, 1942, 1415, 2774, 2580, 27, 3913, 284, 286, 1802, 3100, 354, 1117, 1289, 125, 1507, 1459, 1831, 1834, 3746, 3045, 2293, 381, 1291, 307, 2748, 4067, 508, 1495, 1736, 1958, 2189, 1382, 2602, 2435, 3764, 907, 2149, 326, 3846, 1558, 1775, 3717, 3082, 1881, 1683, 1030, 3659, 3291, 3343, 2799, 621, 2954, 857, 1874, 1243, 1444, 2771, 3582, 334, 1370, 1377, 1114, 1048, 87, 1389, 3226, 1853, 3608, 2501, 3583, 3009, 2177, 3677, 3987, 3109, 229, 1349, 748, 614, 241, 1923, 2961, 136, 1402, 1293, 1366, 1802, 45, 970, 2330, 2011, 835, 641, 11, 2053, 1127, 873, 3997, 98, 969, 1522, 1429, 538, 3087, 347, 1768, 1939, 1286, 1720, 2234, 1679, 744, 1462, 3417, 190, 1392, 3717, 359, 309, 1926, 2249, 3468, 2204, 3818, 3941, 79, 2100, 3770, 426, 3463, 150, 2988, 1538, 2882, 3206, 3910, 4097, 3460, 3074, 2305, 132, 3304, 305, 2547, 3076, 1066, 233, 348, 2627, 3437, 1736, 3710, 3444, 2813, 869, 3566, 2975, 225, 3612, 2208, 2694, 1087, 2864, 3099, 4005, 110, 2858, 931, 804, 3289, 2368, 3900, 3466, 614, 3926, 3863, 1056, 3197, 2497, 29, 3514, 2421, 3612, 2123, 2010, 1640, 506, 358, 488, 1938, 2121, 2965, 2318, 10, 89, 1096, 286, 1298, 1179, 1803, 1259, 1625, 1865, 3608, 74, 1192, 3608, 1397, 1359, 2905, 936, 2155, 1055, 1495, 2553, 1925, 349, 3560, 3837, 373, 1813, 2184, 2280, 2535, 2901, 149, 387, 3121, 3791, 49, 2546, 3491, 1949, 2605, 2727, 2029, 1375, 3675, 2177, 47, 1760, 30, 3587, 346, 3987, 28, 33, 30, 2995, 3930, 2558, 1499, 3774, 2029, 3782, 3083, 2020, 2554, 3141, 3134, 3585, 516, 223, 1804, 1601, 3547, 2061, 549, 3319, 1627, 539, 860, 3385, 42, 5, 1115, 853, 3347, 74, 2154, 1618, 3429, 3343, 2317, 1686, 793, 110, 1909, 314, 2036, 147, 2471, 111, 2118, 942, 1391, 3987, 2621, 419, 3177, 1417, 1749, 77, 125, 640, 645, 3632, 2055, 1123, 2290, 2033, 1265, 2026, 2634, 2964, 278, 3647, 351, 4031, 318, 3731, 1459, 1359, 1367, 2215, 911, 687, 1399, 604, 764, 3823, 830, 3524, 31, 699, 2031, 2203, 2603, 921, 1709, 2438, 2924, 3590, 3907, 1486, 1299, 3197, 90, 128, 2572, 2950, 1313, 1306, 2174, 2138, 92, 2698, 2280, 702, 1288, 2036, 517, 495, 3580, 2500, 1512, 2540, 3105, 3155, 4028, 1693, 1290, 2595, 730, 1716, 3845, 3524, 3066, 3568, 1028, 3201, 1976, 3774, 69, 517, 501, 137, 1035, 891, 2435, 738, 2978, 2930, 2834, 2146, 3679, 2300, 1279, 2788, 3463, 2568, 3178, 2991, 139, 4025, 1691, 3359, 1529, 1709, 1469, 1325, 2396, 3228, 1982, 3472, 1505, 413, 2884, 2061, 2237, 3269, 1281, 421, 397, 3808, 4037, 1009, 2192, 3533, 2087, 3811, 2967, 632, 774, 453, 776, 2585, 3548, 3919, 1222, 273, 3846, 3145, 93, 1123, 290, 3548, 2070, 1701, 1369, 1299, 1112, 849, 74, 2385, 1822, 1670, 1953, 3675, 1384, 1930, 2573, 3623, 295, 1592, 577, 4057, 2612, 4026, 229, 129, 3197, 190, 1775, 2420, 3874, 2677, 1445, 1208, 2762, 1599, 886, 1930, 262, 1030, 733 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 744, 2827, 147, 1982, 2659, 2295, 372, 15, 2216, 485, 107, 3645, 1299, 513, 89, 2496, 3610, 3470, 3419, 2196, 7, 2389, 353, 265, 3764, 2649, 749, 3337, 795, 1434, 906, 1254, 3414, 3925, 2056, 1428, 2021, 1030, 901, 977, 952, 3082, 3544, 96, 511, 1862, 418, 3836, 2093, 1534, 1369, 325, 2980, 2062, 3581, 483, 132, 779, 1733, 1829, 565, 3120, 915, 1573, 952, 2569, 2057, 1498, 1708, 3931, 3978, 1360, 302, 1710, 2114, 1960, 3151, 4092, 2037, 3933, 224, 1257, 2521, 1403, 2973, 1985, 3354, 99, 429, 504, 2958, 2037, 893, 721, 450, 40, 2260, 19, 3137, 61, 4097, 238, 3893, 825, 2232, 2108, 3937, 900, 1056, 26, 1972, 3498, 2395, 168, 520, 1477, 4099, 3079, 504, 3197, 1015, 974, 2538, 1771, 1748, 3853, 2089, 1407, 825, 133, 1113, 2124, 1402, 3082, 1315, 1471, 223, 1510, 1434, 3218, 1434, 3527, 1384, 3420, 518, 1241, 4040, 221, 3475, 1501, 3960, 1763, 517, 3903, 479, 2852, 2165, 1478, 105, 395, 1640, 350, 2669, 1414, 1189, 773, 2602, 1824, 2149, 234, 181, 166, 1225, 1578, 359, 2369, 2732, 615, 2441, 597, 2411, 419, 3589, 2323, 1397, 1673, 1445, 3495, 858, 1958, 1617, 965, 1505, 69, 1477, 1928, 3651, 533, 330, 1960, 1549, 3704, 3590, 21, 36, 35, 346, 2013, 3182, 2275, 1793, 2171, 1756, 3602, 2581, 150, 2277, 348, 3381, 1285, 1113, 1930, 3378, 3565, 2174, 1148, 1705, 3709, 1375, 347, 2466, 2378, 1691, 1376, 3975, 3597, 545, 1402, 1122, 1350, 50, 2277, 1374, 2046, 1349, 3085, 1393, 643, 1932, 1977, 1817, 484, 2082, 2092, 93, 7, 2798, 2206, 1470, 3655, 1036, 3079, 3589, 3973, 4037, 501, 129, 154, 2083, 165, 485, 1959, 118, 1316, 2695, 1477, 503, 3170, 1422, 3, 2, 2979, 701, 2036, 2187, 1378, 3981, 2138, 995, 1959, 2134, 3325, 2522, 1561, 2511, 36, 959, 227, 3780, 3850, 3095, 278, 2706, 2569, 1162, 2441, 2026, 3716, 3554, 3554, 3556, 2626, 91, 2822, 3563, 4074, 1376, 2140, 1110, 1516, 3420, 1498, 2184, 3228, 628, 3416, 2995, 1651, 2527, 2394, 493, 3749, 3886, 1520, 2295, 3127, 3220, 2905, 2908, 3866, 3617, 3709, 1806, 1405, 495, 433, 132, 2223, 2605, 1583, 2431, 146, 3091, 2814, 1502, 2390, 419, 2870, 1299, 3465, 1030, 1315, 3556, 2393, 2878, 1103, 1919, 1580, 3770, 3417, 2040, 2604, 1692, 3831, 4081, 5, 2693, 1049, 3987, 2237, 3267, 608, 2046, 2728, 1854, 478, 1626, 983, 1292, 86, 1892, 3433, 534, 884, 597, 3676, 240, 71, 22, 1989, 329, 1381, 3670, 1370, 1120, 1615, 1375, 2578, 2960, 2325, 91, 1370, 682, 1773, 410, 3592, 3498, 1390, 2272, 3621, 1398, 1388, 2373, 327, 2614, 1709, 1738, 2526, 1887, 1893, 1127, 161, 253, 133, 3716, 1457, 7, 121, 1670, 10, 3255, 3320, 836, 2085, 2284, 508, 3080, 1396, 2339, 2579, 2104, 3105, 1317, 166, 3183, 3759, 356, 2739, 2586, 385, 1042, 1377, 4088, 3085, 3815, 1576, 2202, 2069, 3594, 2025, 895, 2799, 2967, 3735, 3755, 1380, 2722, 2402, 3978, 3464, 2764, 2589, 289, 2315, 486, 282, 2117, 3709, 106, 2623, 1689, 3019, 1629, 1789, 2284, 1759, 2058, 3293, 935, 778, 2202, 3611, 3780, 4026, 1591, 1393, 3867, 3318, 1109, 87, 3607, 3776 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1381, 456, 1984, 645, 2052, 897, 1372, 4084, 4076, 3456, 33, 3939, 2258, 2093, 1289, 1349, 2943, 627, 498, 3555, 3585, 1408, 3612, 3426, 3554, 3330, 3587, 3585, 1358, 2998, 328, 2380, 631, 1909, 327, 1532, 3836, 3329, 1029, 2067, 3082, 1177, 9, 3316, 1799, 914, 1350, 2009, 1055, 1164, 2109, 1954, 261, 408, 1285, 2077, 1942, 1043, 2137, 3302, 1429, 829, 2192, 2117, 327, 1300, 71, 1288, 93, 3462, 70, 1066, 137, 1375, 3719, 924, 682, 2541, 2469, 16, 2025, 3719, 2565, 934, 6, 3307, 3093, 1690, 3612, 3069, 1365, 3417, 1855, 1819, 2995, 2033, 208, 256, 1791, 245, 1346, 2486, 1936, 614, 1520, 2669, 1396, 2084, 3769, 52, 2280, 2285, 538, 1132, 3720, 91, 2613, 348, 515, 2085, 2707, 1021, 133, 80, 1097, 1298, 2648, 516, 1507, 262, 1030, 405, 1918, 483, 2819, 1048, 926, 2953, 85, 3613, 3455, 3766, 3246, 3148, 107, 1563, 607, 1422, 2782, 3167, 925, 1764, 797, 575, 484, 2210, 1732, 291, 1815, 736, 3732, 2580, 383, 2771, 1732, 785, 1725, 867, 3517, 2688, 2004, 2205, 909, 2799, 799, 1827, 2440, 1553, 3960, 1465, 1574, 1706, 2588, 1676, 1936, 3857, 114, 1861, 3666, 1437, 1097, 1869, 1145, 1133, 466, 573, 347, 1938, 3358, 241, 976, 2693, 4041, 3155, 327, 263, 263, 903, 3554, 3533, 1412, 3606, 2653, 1923, 1903, 1450, 501, 470, 3590, 2314, 3647, 28, 3345, 3080, 3036, 3939, 3448, 269, 1033, 522, 1892, 628, 373, 3950, 1990, 3675, 2054, 3289, 3582, 2266, 3082, 2074, 2066, 3709, 1050, 401, 3626, 2090, 2742, 2715, 2144, 52, 2056, 1289, 538, 1393, 3711, 1732, 3712, 905, 1539, 90, 1117, 1287, 2508, 65, 2684, 1942, 1882, 1638, 1498, 2822, 135, 3288, 856, 2821, 2535, 34, 3932, 55, 2958, 3105, 1923, 467, 1447, 2274, 3148, 3161, 2468, 831, 2245, 3982, 46, 1074, 2722, 1834, 1396, 1964, 1658, 1201, 357, 1354, 3161, 1963, 2053, 3421, 256, 31, 2428, 3199, 550, 3565, 1312, 2239, 1627, 1434, 1370, 1362, 3110, 2424, 3317, 1421, 2182, 3977, 1401, 349, 3212, 4054, 2525, 26, 1884, 3049, 3854, 1365, 3623, 2238, 3721, 1829, 1910, 1305, 1747, 787, 1349, 1895, 1653, 3537, 123, 76, 2668, 1675, 2958, 538, 2860, 4037, 893, 3077, 1812, 19, 3855, 823, 853, 374, 3172, 2536, 1743, 1015, 5, 2757, 1028, 3331, 196, 3274, 1546, 91, 1946, 375, 518, 3121, 2491, 3304, 1599, 1574, 1632, 1406, 2996, 3727, 3427, 24, 3815, 512, 1144, 1841, 2081, 339, 3709, 8, 2798, 3696, 975, 2578, 1034, 3090, 18, 1545, 229, 57, 1950, 3013, 455, 61, 129, 2023, 2936, 3716, 3077, 2408, 2021, 2435, 119, 831, 42, 1655, 122, 1740, 1402, 3706, 1314, 1401, 141, 1932, 678, 3537, 2285, 221, 2088, 2742, 3982, 3502, 3419, 2117, 3320, 57, 197, 392, 3263, 257, 21, 298, 1082, 4004, 1407, 3348, 12, 1554, 2418, 3397, 3105, 149, 220, 238, 1349, 2826, 298, 3590, 45, 12, 3334, 1448, 1354, 1107, 1477, 2323, 485, 924, 3157, 328, 2070, 1441, 3289, 539, 1611, 1082, 797, 2789, 1605, 2141, 1048, 2091, 22, 3246, 2830, 2026, 1333, 2057, 2137, 2586, 2991, 154, 1922, 1530, 4005, 529, 2853, 866, 3151, 1508, 2607, 253, 453, 1958, 1454, 1733 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 963, 3548, 773, 403, 2615, 2337, 3223, 2433, 311, 682, 3651, 346, 2440, 1571, 2586, 1563, 2587, 539, 538, 2606, 2587, 2586, 2605, 795, 1590, 4035, 910, 1517, 639, 1490, 3233, 1244, 1407, 1884, 1403, 2091, 3626, 294, 3500, 3273, 2192, 5, 1926, 647, 3833, 405, 906, 860, 2655, 904, 3529, 41, 1226, 1325, 1234, 75, 921, 2315, 1377, 1768, 1867, 1302, 909, 1865, 1692, 3328, 731, 3949, 1395, 2938, 1978, 1914, 2170, 406, 2590, 3478, 1518, 3818, 608, 2140, 1443, 1884, 2658, 854, 3560, 1498, 3450, 3653, 1324, 3804, 2652, 1368, 2539, 3999, 1698, 1399, 933, 3410, 2088, 878, 3044, 2884, 724, 1703, 1680, 2079, 447, 447, 444, 2542, 1040, 2139, 2979, 22, 1184, 3235, 2028, 3715, 2028, 3715, 543, 1467, 2419, 1955, 757, 141, 433, 2076, 2705, 3295, 3652, 2829, 1063, 246, 1719, 2484, 3890, 2214, 2195, 2067, 2078, 2129, 2930, 2852, 2914, 2548, 2530, 3013, 1366, 3423, 1927, 1959, 1959, 897, 1144, 1537, 278, 1413, 117, 1354, 545, 66, 1378, 1773, 343, 353, 97, 214, 598, 665, 1100, 2282, 28, 1378, 3145, 109, 1141, 2218, 2055, 1594, 3078, 270, 1313, 2374, 3337, 1520, 287, 1411, 429, 1503, 1516, 1955, 378, 1308, 1772, 1790, 608, 1418, 352, 554, 3198, 3995, 2675, 3036, 3719, 1736, 3135, 1657, 1443, 3942, 3426, 3078, 3219, 25, 2020, 580, 914, 4060, 1879, 522, 1016, 928, 1586, 963, 806, 1352, 30, 2747, 1749, 892, 3594, 1293, 3693, 1171, 1938, 1045, 2417, 1539, 960, 1366, 3139, 2271, 2417, 2142, 3685, 1375, 3804, 91, 2404, 1619, 3313, 261, 78, 1580, 1306, 3593, 117, 1095, 3505, 3705, 392, 651, 1953, 2084, 1663, 2138, 1435, 3683, 2656, 2393, 2378, 2330, 1371, 1436, 1882, 1956, 3435, 3875, 1405, 3162, 366, 2540, 2062, 1110, 1958, 1388, 3964, 3564, 3781, 463, 2234, 123, 2174, 2597, 1684, 54, 4089, 449, 2036, 3074, 3942, 1031, 383, 2403, 2137, 2090, 3642, 1384, 3846, 2969, 3609, 341, 1329, 1464, 3609, 224, 2207, 1644, 2886, 1508, 2117, 1953, 1916, 313, 22, 1060, 3914, 680, 985, 1054, 3190, 1141, 1363, 492, 3782, 1494, 729, 384, 3163, 3594, 1885, 126, 12, 1481, 1609, 3088, 1050, 3081, 1113, 2006, 486, 138, 1276, 389, 141, 922, 2111, 1034, 1454, 1963, 2952, 3093, 3419, 2936, 1085, 3685, 405, 398, 1315, 1803, 1696, 2225, 159, 3424, 3165, 2660, 3857, 1290, 2950, 1306, 3673, 493, 3516, 4065, 104, 973, 2021, 2202, 2558, 1790, 2732, 1798, 534, 1373, 1373, 3693, 2002, 1539, 1149, 61, 343, 28, 89, 1452, 1875, 1925, 1146, 1155, 89, 1116, 1967, 624, 1034, 2989, 3418, 2649, 1052, 2737, 2530, 1696, 1955, 1031, 1798, 1058, 2089, 915, 92, 2895, 2210, 27, 1852, 1374, 33, 332, 2792, 2876, 2536, 962, 1444, 86, 262, 3162, 2886, 3910, 1466, 3097, 34, 2906, 3710, 3186, 778, 810, 1050, 3645, 3399, 2400, 13, 1365, 3646, 1034, 1318, 1938, 827, 1029, 510, 1033, 42, 1286, 2821, 2906, 1131, 1185, 510, 3474, 3718, 602, 1457, 272, 3079, 1912, 1906, 4012, 5, 1098, 550, 3995, 2181, 17, 3621, 3028, 2284, 173, 3085, 395, 3318, 4010, 1032, 1536, 3084, 88, 1403, 658, 1329, 2981, 2206, 2863, 53, 477, 1030, 2121, 91, 349 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2790, 3594, 2034, 3725, 128, 3750, 694, 1987, 493, 2536, 1446, 359, 1781, 449, 616, 157, 3307, 830, 2295, 1781, 1718, 3431, 3407, 1516, 1155, 1958, 1882, 174, 1546, 1406, 2403, 959, 511, 3267, 427, 695, 176, 2140, 3563, 2523, 1164, 3752, 1499, 2354, 3114, 3525, 918, 2987, 293, 3516, 2572, 3148, 1731, 1110, 3912, 1350, 1552, 2576, 2182, 1761, 2706, 3719, 1800, 2170, 1598, 3519, 352, 352, 3942, 1974, 1406, 3519, 901, 1893, 872, 788, 620, 2396, 3967, 266, 1865, 228, 4037, 3590, 2316, 2130, 3620, 1753, 2019, 1416, 1916, 277, 1301, 1307, 4074, 136, 2373, 2453, 274, 1013, 2642, 3996, 2109, 1271, 1398, 230, 1299, 1534, 3738, 352, 2140, 419, 2377, 1145, 3334, 1036, 669, 2416, 86, 1518, 3611, 2874, 3882, 184, 3963, 3422, 1485, 1517, 1428, 3645, 2446, 2915, 731, 134, 1884, 3607, 2049, 3459, 4087, 1939, 1974, 1601, 1644, 1915, 2558, 3530, 3722, 2392, 2594, 1292, 1936, 1976, 2961, 76, 2258, 2830, 1735, 1818, 3519, 828, 3724, 774, 3731, 3095, 36, 2611, 35, 2060, 2570, 3702, 2117, 1369, 87, 2213, 2023, 2023, 2021, 999, 2010, 2446, 3463, 752, 3590, 1535, 3852, 3970, 22, 1325, 237, 2275, 2770, 1444, 2556, 4011, 1996, 2289, 343, 189, 2752, 647, 2948, 136, 2061, 286, 3644, 2593, 35, 2152, 2961, 275, 69, 227, 6, 1797, 2906, 1699, 2556, 1411, 1878, 87, 45, 22, 3813, 113, 2179, 892, 313, 1868, 3873, 2282, 1148, 3242, 1049, 1510, 1960, 2821, 1355, 1627, 2870, 1299, 3084, 3355, 3455, 974, 3685, 2214, 466, 3846, 604, 1179, 895, 278, 470, 470, 475, 3170, 45, 311, 2665, 616, 2508, 2723, 437, 512, 182, 3123, 2013, 1931, 2486, 9, 1801, 1523, 307, 2954, 4001, 1734, 796, 2083, 696, 3619, 925, 3602, 1422, 213, 1290, 1548, 3052, 456, 374, 4001, 1782, 374, 1926, 2077, 251, 2070, 2067, 117, 3214, 3445, 2057, 3158, 774, 741, 154, 1774, 796, 2043, 3093, 1485, 219, 3607, 608, 786, 601, 1414, 1375, 3430, 1034, 773, 2913, 941, 58, 1115, 855, 52, 567, 389, 4082, 2693, 453, 949, 233, 456, 2277, 231, 3846, 21, 64, 3846, 3591, 3461, 3845, 1884, 2125, 117, 1799, 21, 500, 2416, 2462, 3839, 157, 135, 506, 1882, 383, 368, 645, 1886, 3755, 924, 685, 2535, 2375, 2556, 3838, 1127, 1482, 2762, 1135, 1534, 1608, 1354, 1626, 1370, 1175, 1384, 783, 3312, 3502, 2831, 2045, 477, 1599, 790, 1890, 3591, 861, 2992, 605, 724, 966, 1149, 3613, 2580, 371, 973, 1520, 1947, 2032, 803, 978, 291, 2963, 724, 2894, 2044, 894, 2574, 3, 2, 1562, 1822, 1355, 1821, 531, 1375, 2271, 492, 2006, 614, 155, 26, 358, 1494, 282, 1370, 121, 3141, 1414, 336, 1366, 346, 1369, 1354, 346, 1370, 2121, 346, 2441, 1373, 1417, 375, 1354, 54, 2414, 1033, 1310, 304, 1341, 3561, 3030, 2907, 1297, 2204, 1315, 860, 1098, 1354, 125, 1526, 649, 326, 3594, 522, 842, 506, 424, 136, 1661, 1380, 606, 601, 1354, 540, 3705, 3295, 570, 1340, 1610, 815, 348, 3913, 2314, 1302, 1409, 3096, 81, 26, 2652, 1097, 2393, 1373, 3417, 2378, 1562, 3486, 311, 342, 3428, 86, 2330, 261, 1627, 122, 2952, 837, 5, 1494, 1357 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1500, 2687, 1819, 1257, 2026, 2244, 2582, 2042, 148, 3605, 1238, 491, 2906, 521, 1386, 522, 1386, 406, 278, 1353, 1358, 1302, 1302, 282, 330, 283, 1954, 1825, 1949, 1602, 3475, 2048, 1776, 4092, 3635, 1831, 1707, 3710, 3478, 1500, 3963, 932, 3808, 2820, 3581, 2977, 2207, 2494, 3707, 1115, 1471, 3701, 3259, 3202, 2973, 2107, 2708, 2276, 3883, 2250, 2656, 2285, 4100, 2295, 1434, 3930, 3398, 3714, 3714, 3713, 2175, 2006, 1409, 605, 1290, 3586, 282, 1289, 1310, 3297, 3419, 1747, 1316, 3482, 94, 1953, 1123, 136, 2014, 926, 3618, 922, 830, 1463, 2063, 3971, 3427, 1840, 1098, 935, 2384, 2046, 306, 1307, 921, 3419, 48, 2612, 1884, 2697, 2438, 782, 2347, 616, 346, 2660, 1372, 2267, 2137, 338, 2619, 1435, 2271, 890, 2652, 1450, 1882, 2216, 2404, 1546, 2925, 3804, 3255, 1895, 3955, 2169, 460, 159, 85, 3111, 223, 3417, 857, 1000, 2784, 4001, 2121, 1354, 2074, 2410, 1482, 1336, 1277, 3084, 3436, 1598, 2098, 2344, 875, 1718, 1357, 3418, 1097, 1409, 2388, 2315, 3001, 3712, 2544, 3920, 2621, 3832, 3058, 1622, 3350, 2377, 1129, 3993, 1793, 3313, 3148, 1145, 2892, 1046, 3354, 3956, 2940, 126, 3238, 3626, 298, 1407, 1462, 2045, 487, 1303, 1404, 3739, 3300, 3531, 473, 2160, 2724, 2631, 1980, 2117, 2117, 2117, 2131, 133, 3564, 2581, 3398, 489, 1366, 1290, 3434, 74, 3608, 3622, 589, 279, 677, 911, 2089, 422, 2575, 87, 894, 3272, 3300, 3958, 3978, 2945, 511, 2511, 3775, 983, 1769, 2482, 2552, 3139, 2608, 2128, 6, 2034, 2725, 348, 3562, 1736, 2439, 3207, 2460, 2565, 1172, 201, 1439, 1407, 680, 2501, 3715, 257, 1488, 354, 3550, 3529, 259, 3239, 584, 398, 133, 3772, 3200, 255, 748, 2952, 1164, 695, 3272, 3528, 3995, 1910, 3500, 3391, 2280, 387, 3331, 2451, 1596, 1082, 3989, 3466, 3320, 3862, 1236, 2601, 270, 3099, 1549, 2278, 2567, 2164, 644, 4070, 3135, 2087, 870, 2164, 511, 3368, 2560, 577, 4072, 3112, 2549, 3242, 2157, 194, 2791, 3971, 2988, 2598, 4014, 2178, 3749, 4070, 2090, 2335, 779, 45, 2066, 842, 1203, 1717, 1957, 3419, 1400, 1061, 426, 2478, 2408, 450, 3911, 374, 420, 1994, 3495, 3266, 3948, 2444, 1516, 2715, 2540, 229, 2163, 676, 2950, 1928, 2324, 411, 570, 3685, 440, 3207, 1738, 2060, 200, 3177, 205, 1451, 1190, 2417, 440, 3766, 3445, 3450, 3276, 3361, 1107, 1960, 3241, 170, 46, 375, 2138, 282, 3783, 1937, 525, 3785, 1392, 2377, 2640, 961, 2721, 1828, 147, 3339, 803, 1848, 2136, 3669, 273, 197, 621, 228, 1084, 3494, 433, 951, 1639, 2610, 2156, 1179, 1973, 2504, 139, 2150, 1598, 2142, 1882, 3414, 767, 268, 2186, 938, 1562, 597, 410, 339, 314, 377, 1978, 2842, 3138, 1977, 1377, 1384, 1052, 1297, 3847, 2140, 2714, 3422, 2165, 2453, 1389, 1190, 670, 417, 3181, 85, 922, 554, 1097, 1397, 101, 250, 2254, 268, 3222, 245, 559, 886, 69, 478, 1529, 210, 263, 796, 2637, 1099, 3145, 1553, 1157, 2331, 383, 2830, 1494, 3087, 2012, 1913, 1638, 2275, 350, 3060, 3301, 2539, 2397, 1645, 1193, 1557, 1689, 1146, 3549, 481, 1891, 1059, 1583, 1430, 2069, 1067, 1125, 330, 2439, 696, 1179, 1849, 478, 1374, 521, 405 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 9, 3481, 1154, 1629, 1455, 966, 3157, 2389, 1119, 1350, 1820, 858, 1542, 1289, 58, 1033, 1734, 136, 1870, 1077, 1504, 3339, 1357, 389, 1434, 345, 341, 906, 4046, 1526, 2699, 1096, 1415, 1189, 1281, 69, 3445, 312, 1390, 3676, 3034, 3615, 2869, 1241, 2478, 2668, 284, 3743, 2202, 1725, 666, 1638, 622, 2178, 3210, 1428, 1413, 2076, 1231, 650, 464, 2605, 52, 2921, 219, 3680, 2763, 2089, 1224, 39, 907, 726, 3372, 2645, 3162, 1113, 2588, 1642, 414, 2822, 550, 461, 1081, 217, 888, 439, 3229, 1542, 3347, 2501, 2138, 858, 3133, 1053, 569, 3595, 3083, 2143, 2874, 412, 858, 3433, 630, 348, 3678, 1062, 3937, 1397, 455, 1377, 3418, 123, 3267, 610, 2157, 43, 254, 127, 745, 203, 1813, 1911, 1052, 1051, 1940, 363, 16, 721, 185, 613, 1482, 1996, 3504, 784, 3021, 2224, 41, 2409, 532, 454, 2856, 776, 2768, 3278, 1554, 2620, 1799, 2892, 3112, 2462, 1155, 2602, 1218, 3497, 379, 2377, 1386, 1677, 4044, 861, 731, 3517, 1933, 2277, 1031, 1040, 985, 1496, 18, 2196, 751, 868, 1557, 1803, 1196, 3239, 2372, 225, 3316, 956, 53, 377, 798, 3092, 3852, 1132, 999, 41, 690, 1302, 2571, 2897, 1153, 350, 3906, 327, 836, 2657, 18, 3398, 3936, 3028, 1008, 786, 1095, 89, 2457, 829, 1291, 3688, 1366, 210, 1765, 2200, 530, 1297, 390, 2058, 1349, 3138, 1109, 1402, 283, 102, 479, 22, 1354, 1360, 1033, 22, 2053, 377, 521, 783, 3139, 3414, 2140, 3479, 407, 550, 684, 3776, 1770, 3847, 3897, 147, 3427, 201, 2391, 2526, 1431, 115, 3257, 29, 3197, 1667, 796, 647, 638, 625, 2010, 2479, 602, 3402, 1551, 3584, 866, 731, 1111, 2497, 2026, 775, 1916, 3509, 565, 715, 2110, 2613, 78, 2822, 226, 3077, 2518, 799, 1781, 77, 2587, 454, 2805, 1748, 3244, 3164, 776, 3569, 3564, 3747, 2161, 996, 2466, 1306, 1805, 2952, 2090, 1785, 1683, 1061, 198, 2311, 291, 420, 3446, 2770, 3212, 1199, 358, 1820, 650, 1438, 3725, 4081, 1905, 3327, 3626, 2883, 3927, 2190, 3505, 2493, 4022, 2808, 2929, 2397, 1717, 1989, 3449, 3010, 4075, 2091, 2103, 2416, 2156, 2617, 2739, 3707, 2110, 3321, 325, 1768, 1915, 3598, 2922, 1962, 2091, 3423, 2159, 111, 488, 548, 557, 3987, 3961, 1711, 3506, 1644, 2112, 2229, 557, 1796, 2470, 300, 2220, 2555, 769, 2049, 3654, 1959, 3019, 3121, 2103, 2149, 3366, 3818, 2085, 2855, 2093, 3714, 4045, 2870, 3902, 3110, 3633, 3047, 3968, 3878, 3562, 2689, 2859, 3495, 2107, 2814, 3715, 3316, 3059, 3073, 2533, 3177, 2151, 812, 3015, 3047, 1706, 2627, 2344, 2013, 1188, 2598, 2683, 2665, 2284, 3109, 2998, 3442, 3524, 445, 3960, 1796, 3126, 2655, 2286, 3501, 3657, 649, 1974, 3179, 1384, 3173, 713, 2907, 2038, 2545, 3526, 3486, 3526, 748, 3143, 3185, 246, 3970, 2552, 927, 3705, 704, 3490, 3382, 2703, 3988, 2537, 3486, 4071, 3703, 927, 1870, 2519, 3211, 2947, 180, 2698, 2291, 1430, 2791, 702, 3081, 984, 1235, 1134, 2480, 2435, 356, 1030, 2026, 1578, 2725, 995, 3505, 1439, 2591, 3735, 1164, 2512, 1939, 1207, 160, 436, 2512, 3244, 2115, 3244, 3751, 3308, 1695, 3580, 3584, 3303, 247, 255, 399, 433, 2022, 2767, 3291, 1691, 415 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 736, 3831, 208, 3727, 2468, 3820, 2799, 1752, 2482, 3949, 475, 3039, 899, 3994, 27, 3451, 3146, 3370, 2792, 82, 1591, 1822, 89, 1478, 47, 365, 566, 65, 33, 148, 3770, 2314, 1097, 1410, 278, 1306, 31, 3434, 583, 2600, 1446, 1046, 1358, 1429, 3973, 1034, 3161, 1892, 341, 1891, 867, 213, 2307, 2026, 950, 1047, 710, 3141, 3988, 14, 2926, 2653, 2141, 2397, 2144, 1140, 2404, 2015, 46, 2342, 2683, 3255, 3211, 967, 1158, 1476, 3782, 758, 1111, 3584, 363, 3188, 1016, 3865, 647, 3601, 3591, 2055, 1764, 4037, 2033, 2002, 3982, 4055, 2265, 963, 411, 2822, 1665, 356, 2278, 3044, 4043, 3370, 575, 1252, 1409, 3422, 2052, 802, 1490, 3562, 3166, 2346, 3868, 3328, 4084, 3269, 1478, 1849, 3288, 845, 2303, 4059, 3866, 2426, 1308, 1394, 1330, 1334, 409, 2174, 3098, 2059, 1914, 1440, 3404, 2816, 896, 509, 471, 1231, 268, 1171, 98, 1626, 2342, 1574, 2854, 3517, 2753, 2118, 265, 637, 2894, 1385, 232, 3876, 357, 1404, 1316, 1065, 452, 3496, 1292, 30, 4090, 3234, 261, 1031, 82, 1564, 822, 3924, 1274, 3676, 1276, 3986, 2041, 2825, 3954, 3053, 980, 360, 3543, 2100, 3472, 1931, 3557, 3591, 3342, 1221, 1269, 1221, 3073, 3648, 137, 954, 3975, 1539, 2492, 3183, 882, 2810, 1752, 936, 2234, 1338, 2534, 89, 1386, 1058, 1276, 1273, 346, 1881, 390, 1576, 2923, 1052, 1095, 825, 86, 3349, 1877, 1352, 1273, 1430, 780, 309, 3865, 2375, 1689, 2092, 810, 3278, 3209, 789, 3405, 2170, 2397, 1541, 3951, 2070, 1385, 1374, 308, 2371, 1278, 1001, 1475, 1932, 2646, 2585, 1872, 447, 342, 3375, 3182, 102, 1515, 294, 3366, 521, 2071, 3108, 820, 36, 560, 819, 1891, 4031, 751, 798, 4088, 1561, 1614, 1046, 2428, 2438, 10, 2381, 3340, 3105, 711, 2070, 1510, 1785, 78, 2948, 3867, 129, 1414, 1210, 37, 3752, 3864, 3254, 618, 3085, 1345, 2976, 2434, 3851, 3413, 541, 743, 795, 3228, 3092, 1316, 3356, 2042, 2346, 132, 325, 2053, 1378, 1630, 3608, 1299, 2343, 1362, 365, 3406, 39, 775, 3084, 3400, 1317, 218, 3933, 293, 567, 413, 1389, 3278, 1994, 1705, 2242, 1626, 3975, 2812, 25, 119, 3079, 1065, 486, 1734, 3568, 3556, 154, 2380, 1097, 3302, 1868, 1157, 229, 1699, 1034, 1046, 838, 293, 552, 286, 324, 1282, 307, 3545, 3141, 1753, 3686, 773, 1121, 1562, 190, 3426, 1544, 2565, 3732, 952, 1595, 4013, 1626, 3967, 658, 2075, 1911, 708, 1989, 1593, 3453, 3460, 133, 2406, 4090, 59, 3408, 1334, 3350, 98, 4059, 1498, 2522, 282, 839, 345, 1176, 25, 3093, 1810, 2046, 1153, 1301, 1302, 1621, 907, 320, 1171, 1005, 200, 575, 2186, 141, 429, 1931, 1302, 321, 2461, 2590, 3786, 1385, 3597, 155, 123, 1566, 69, 589, 3850, 3270, 1419, 570, 422, 1630, 3639, 194, 3470, 1992, 763, 1924, 1031, 3150, 3978, 859, 3011, 3637, 4074, 394, 3717, 1177, 3025, 3878, 2866, 53, 1061, 885, 3297, 977, 3565, 1483, 2077, 3725, 3939, 652, 4093, 2005, 1600, 642, 1652, 531, 1881, 133, 4022, 3035, 3358, 444, 2783, 394, 2902, 2446, 2220, 1418, 3803, 138, 1738, 3471, 912, 3217, 3724, 3467, 3620, 4064, 2504, 412, 2269, 751, 1479, 1760, 2608, 2696, 2295, 804 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2043, 931, 2264, 3218, 1538, 2717, 1592, 144, 167, 2304, 3837, 2768, 3581, 3824, 536, 109, 319, 469, 2309, 3441, 1492, 2578, 1047, 2841, 246, 3555, 1372, 839, 2608, 3125, 2093, 3, 2, 3400, 826, 237, 2804, 2265, 261, 565, 2122, 1059, 3813, 1322, 1929, 2903, 4029, 4019, 976, 247, 3649, 2465, 3694, 4074, 3822, 13, 2471, 621, 2961, 1404, 3227, 3298, 3808, 3690, 1360, 3728, 3564, 947, 2527, 3998, 1318, 69, 953, 144, 1373, 2592, 2817, 2536, 3231, 718, 1345, 2485, 3307, 3879, 975, 1674, 524, 3821, 3701, 785, 245, 947, 2201, 3004, 2692, 3782, 10, 3994, 1498, 4072, 1366, 3100, 2405, 1949, 1359, 3956, 2630, 4067, 383, 544, 2707, 2221, 3723, 2061, 2703, 655, 2188, 3513, 489, 3691, 1986, 1169, 1673, 227, 530, 1410, 602, 507, 4066, 3054, 3107, 3868, 215, 1562, 1695, 3743, 65, 3848, 1241, 2339, 1998, 9, 2049, 1111, 856, 135, 553, 2381, 1161, 2121, 1993, 3369, 1285, 318, 922, 35, 2709, 474, 3185, 41, 3774, 1374, 1480, 3145, 2907, 2395, 2141, 775, 1765, 2139, 2055, 1411, 242, 2205, 1296, 2728, 1770, 2204, 2059, 86, 2508, 1957, 18, 1919, 843, 7, 1692, 343, 1835, 134, 514, 3694, 2588, 3438, 2642, 511, 517, 846, 2876, 2493, 2123, 306, 264, 3311, 134, 44, 3928, 3107, 2254, 2864, 561, 1381, 1406, 1244, 262, 3717, 85, 1427, 2797, 3987, 2279, 517, 1962, 618, 2506, 2554, 2019, 2026, 3333, 3853, 2190, 2189, 2189, 2185, 1301, 291, 482, 3582, 3845, 1114, 2202, 1406, 3530, 2906, 4062, 1742, 3781, 3090, 1962, 1435, 2032, 1896, 3621, 867, 695, 1405, 2702, 1447, 2542, 2912, 2252, 1173, 314, 1639, 3534, 1415, 2117, 36, 2390, 1955, 562, 358, 1060, 2277, 1806, 2188, 1807, 2428, 3642, 2046, 1615, 902, 2693, 1260, 2598, 2579, 2595, 679, 1180, 1500, 3713, 3843, 1930, 3027, 2012, 2107, 3491, 577, 893, 1109, 1505, 26, 3572, 282, 2673, 9, 3711, 2474, 2047, 1386, 1599, 933, 486, 3980, 2469, 9, 2022, 1260, 2267, 3281, 611, 261, 1912, 1396, 35, 565, 936, 3838, 1462, 215, 1578, 2886, 2375, 1298, 2391, 1100, 3669, 744, 1301, 896, 137, 1303, 38, 293, 201, 51, 1181, 122, 1365, 630, 2713, 1349, 5, 62, 3349, 371, 101, 1542, 2021, 267, 2977, 1443, 326, 1600, 62, 1837, 1383, 1970, 1510, 859, 2396, 3009, 1281, 96, 2947, 265, 69, 1389, 1057, 3781, 123, 1996, 1035, 629, 1371, 374, 1475, 3868, 2191, 668, 2706, 1622, 331, 2287, 4026, 1546, 387, 3546, 2825, 357, 1939, 3299, 2418, 2722, 2160, 2425, 336, 1045, 3988, 3170, 1349, 3774, 1074, 1061, 1759, 2037, 2185, 629, 3125, 4035, 18, 2683, 3508, 4021, 269, 1878, 1934, 1450, 1286, 3107, 376, 2743, 3588, 141, 2853, 2021, 4030, 3141, 883, 890, 1986, 1951, 1690, 428, 2282, 4006, 3498, 3964, 3215, 2196, 460, 3985, 2043, 904, 3965, 2528, 1794, 3197, 1373, 167, 6, 85, 42, 1215, 2527, 2819, 915, 627, 341, 1698, 2253, 3504, 3219, 973, 1793, 2152, 3211, 3552, 3331, 177, 1029, 1544, 3309, 222, 2026, 1043, 4032, 2292, 1292, 28, 1661, 2591, 4064, 313, 4034, 2646, 4019, 783, 1759, 1740, 2061, 2431, 1378, 2483, 2186, 2690, 1510, 1716, 2394, 411, 3739, 668 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2792, 227, 19, 2056, 3415, 3629, 2802, 2989, 3451, 67, 773, 144, 776, 1516, 1404, 380, 3787, 1746, 2655, 1382, 2814, 634, 1392, 1295, 2137, 1322, 1734, 458, 3247, 25, 257, 629, 25, 1041, 14, 1353, 1105, 217, 1320, 31, 3340, 3412, 229, 82, 344, 373, 1286, 349, 1883, 1255, 2118, 1152, 2058, 2824, 2651, 403, 368, 1525, 3273, 350, 9, 1522, 435, 2744, 816, 1450, 2559, 697, 330, 1845, 1536, 2259, 3598, 1382, 1503, 830, 645, 5, 184, 3286, 2557, 2542, 2822, 4057, 1007, 255, 657, 2621, 3474, 2154, 1073, 979, 1967, 1374, 3971, 1807, 237, 177, 629, 2560, 58, 3696, 3668, 2745, 7, 355, 3596, 1549, 92, 3006, 1112, 347, 3578, 3623, 91, 3719, 1079, 2995, 584, 264, 1939, 2529, 22, 3093, 83, 199, 1030, 3846, 4039, 1376, 2673, 193, 893, 1955, 3418, 2530, 3998, 2802, 1783, 1665, 3419, 2993, 1391, 4076, 3036, 707, 4005, 2989, 2210, 3715, 3090, 4082, 4003, 3908, 4088, 3840, 3939, 2239, 2140, 2999, 3943, 3955, 3035, 1941, 1850, 1500, 1578, 2430, 4005, 3621, 452, 2012, 4043, 356, 2543, 2171, 2431, 1408, 1450, 1180, 3161, 1987, 974, 2976, 124, 1404, 1916, 1916, 3346, 1046, 1516, 2117, 1448, 1979, 3850, 1187, 3680, 1379, 1630, 2906, 1971, 1700, 3202, 2859, 1709, 3802, 1888, 2524, 1700, 86, 3078, 3643, 3059, 927, 615, 2190, 3500, 3062, 3782, 2656, 3239, 2239, 503, 561, 549, 3094, 1049, 2394, 3610, 1342, 2547, 2549, 1413, 2045, 3162, 853, 1402, 1384, 2885, 137, 1050, 1498, 153, 926, 1055, 3083, 2211, 573, 2323, 1573, 423, 2053, 2546, 3671, 1314, 3882, 859, 3020, 935, 68, 45, 1511, 1116, 327, 1290, 3632, 2284, 1478, 3590, 1030, 358, 1948, 3417, 1315, 812, 2278, 1059, 1399, 2501, 369, 1662, 1042, 1958, 1056, 3078, 3525, 630, 1422, 151, 2451, 1926, 1370, 2569, 1477, 1925, 2289, 856, 1339, 4008, 8, 2967, 25, 1677, 2391, 1805, 44, 3902, 3082, 2701, 1701, 2295, 2311, 2289, 4022, 1718, 3308, 2905, 2055, 39, 2068, 3069, 2181, 1143, 629, 1498, 1420, 1791, 909, 113, 935, 2555, 978, 3587, 3132, 3930, 2042, 3930, 3297, 2003, 2996, 1389, 365, 1399, 538, 1769, 2762, 2842, 2976, 3420, 1571, 1772, 1578, 1305, 1944, 1788, 1960, 2219, 168, 3270, 1921, 3727, 521, 3722, 2823, 2123, 2727, 3582, 4071, 1925, 2144, 351, 2880, 3299, 899, 30, 3609, 1033, 1976, 1818, 2860, 749, 2373, 3974, 3228, 2026, 842, 13, 218, 1847, 2586, 254, 3977, 3115, 1698, 3483, 4082, 1375, 3210, 1144, 2782, 2102, 2424, 953, 248, 14, 1508, 3620, 10, 314, 1114, 3847, 32, 16, 518, 3865, 1889, 4042, 1189, 1788, 3481, 1776, 1435, 1989, 1819, 1701, 914, 1496, 1737, 1584, 2540, 2027, 860, 2146, 1697, 1217, 1690, 244, 1158, 3587, 972, 2046, 511, 156, 3338, 1673, 3577, 3591, 912, 336, 1263, 3588, 201, 3659, 1743, 3450, 2699, 412, 1167, 967, 3863, 1464, 3549, 1076, 3470, 705, 1375, 996, 162, 2385, 1425, 1477, 3981, 2504, 3584, 1487, 3612, 3483, 946, 2949, 2883, 3608, 2705, 1195, 926, 1414, 284, 3665, 2582, 3072, 2522, 1509, 127, 1829, 1036, 1517, 2049, 1227, 2377, 2545, 3523, 3096, 2840, 711, 255, 291, 1376, 3936, 127, 3354, 1352, 2700, 1682 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1672, 804, 156, 3260, 3466, 3720, 2264, 258, 2353, 3108, 3149, 88, 1890, 530, 1338, 1470, 1671, 1578, 3350, 186, 2105, 1772, 1147, 2725, 1409, 2186, 1465, 1150, 2279, 410, 2290, 3051, 2692, 359, 3204, 2065, 2139, 2499, 1707, 611, 1402, 2984, 3228, 3787, 3876, 412, 401, 881, 2266, 1931, 2440, 1250, 1392, 3878, 1827, 2906, 2167, 1362, 1398, 2259, 1446, 4070, 1856, 2405, 378, 1654, 3173, 2872, 1088, 3129, 2405, 3358, 1362, 288, 1196, 3701, 1418, 2570, 2842, 925, 732, 2572, 3718, 1034, 19, 2426, 212, 3240, 411, 1297, 3384, 749, 1905, 1035, 3925, 3197, 3753, 157, 1377, 3814, 1377, 3418, 3477, 1030, 1307, 1336, 2389, 261, 3846, 1034, 1029, 105, 3397, 161, 1137, 293, 341, 1558, 1146, 2901, 12, 1358, 1395, 581, 3551, 1371, 666, 3148, 22, 3107, 2081, 3130, 1621, 1802, 16, 2097, 1941, 75, 67, 1109, 90, 3554, 1797, 625, 1802, 2559, 345, 355, 60, 86, 1293, 326, 1982, 2860, 847, 317, 813, 1342, 2337, 1286, 1031, 125, 1401, 1931, 90, 4038, 2665, 519, 3603, 37, 1541, 1126, 1542, 1542, 2961, 99, 266, 3087, 2588, 223, 326, 154, 488, 2275, 29, 141, 2765, 2881, 101, 559, 557, 614, 282, 2451, 3013, 824, 3972, 4100, 3049, 900, 2947, 255, 4099, 3761, 974, 1842, 1259, 389, 2741, 45, 2403, 1550, 2395, 60, 2125, 1565, 3817, 933, 133, 61, 485, 1016, 2822, 3121, 1842, 2036, 2034, 3044, 3541, 3586, 3346, 4083, 2276, 3580, 2808, 387, 3968, 979, 629, 154, 1917, 476, 346, 2789, 3296, 1370, 3731, 3777, 1997, 193, 3024, 3280, 3478, 4091, 2177, 423, 3899, 2242, 2865, 2036, 1956, 1620, 3391, 496, 2301, 2390, 15, 2963, 1597, 59, 1381, 1045, 1046, 2051, 3601, 4045, 524, 3590, 4065, 228, 2814, 1031, 1711, 659, 534, 2792, 3465, 3960, 249, 197, 255, 2961, 6, 24, 434, 3134, 748, 3407, 2570, 62, 3339, 3097, 1036, 2125, 1161, 1240, 2041, 353, 543, 3089, 1178, 1420, 2254, 1042, 226, 1617, 344, 1832, 2409, 1828, 2043, 2133, 157, 387, 1248, 1861, 1576, 2657, 2419, 2729, 2716, 1695, 119, 2785, 2666, 4036, 1412, 3100, 12, 3732, 3968, 3274, 1935, 4037, 3061, 508, 2436, 1412, 2436, 2500, 356, 1410, 1786, 3930, 4058, 4052, 3194, 3658, 4030, 3710, 3710, 3710, 3710, 3710, 638, 3690, 2540, 460, 460, 519, 13, 501, 1544, 3033, 510, 1404, 1861, 454, 3107, 3975, 3423, 1946, 2140, 2290, 2140, 2467, 1261, 2125, 1165, 1919, 1710, 1839, 2991, 2202, 2632, 2725, 1028, 3904, 3580, 2882, 2164, 2344, 2266, 1237, 2430, 1884, 1869, 1493, 509, 2501, 3084, 854, 313, 3354, 6, 1415, 149, 3610, 56, 1050, 1478, 42, 2064, 92, 2909, 3559, 1574, 1702, 981, 236, 1319, 3817, 438, 20, 3908, 2143, 1520, 3588, 2276, 3134, 3604, 3249, 2163, 3046, 1927, 1678, 1418, 386, 1372, 1318, 2723, 140, 2598, 3725, 969, 1962, 2835, 2813, 794, 2992, 2707, 1628, 1159, 2837, 1286, 2829, 254, 2762, 1832, 1706, 3642, 2795, 3414, 2092, 3781, 131, 2791, 1580, 629, 1391, 1463, 1373, 2765, 1394, 3507, 2154, 2104, 2655, 2420, 1548, 3084, 3192, 2534, 2440, 3936, 1494, 3741, 1378, 1865, 424, 2084, 781, 2398, 1541, 383, 1681, 1290, 1937, 2431, 1970, 1484, 1288 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 900, 3083, 979, 109, 1459, 3880, 3646, 88, 2763, 247, 1972, 4070, 3473, 3123, 2715, 3779, 2180, 2918, 1236, 3928, 11, 83, 1610, 356, 2246, 3511, 4005, 184, 3594, 2843, 3264, 3693, 1462, 3548, 375, 937, 376, 3422, 1834, 2417, 1540, 3544, 3718, 3250, 1324, 1404, 2313, 265, 1500, 1365, 1140, 2195, 4035, 3202, 3860, 4086, 3845, 2282, 3416, 1339, 340, 2564, 3397, 553, 3485, 2223, 2737, 677, 141, 1286, 355, 2823, 1767, 1482, 3770, 3452, 3882, 2778, 1050, 1354, 4009, 634, 1058, 2076, 2515, 24, 2077, 190, 1946, 741, 1297, 901, 1158, 3351, 806, 1716, 663, 2314, 650, 1162, 3811, 140, 2533, 3211, 25, 752, 2227, 383, 2799, 2745, 1482, 2642, 2417, 1397, 1396, 2692, 96, 3636, 3236, 2585, 18, 2514, 4009, 2306, 2942, 359, 154, 1499, 2957, 583, 132, 1482, 3115, 1354, 1921, 6, 21, 3683, 780, 133, 676, 1845, 218, 519, 342, 1756, 1410, 1548, 1702, 1828, 3829, 1480, 195, 3765, 2400, 380, 157, 332, 2023, 390, 1989, 858, 2146, 3, 2, 261, 1606, 4030, 1494, 1933, 3077, 9, 3717, 1533, 1577, 2548, 1518, 2464, 170, 2061, 363, 1543, 2971, 240, 2094, 2974, 1032, 2133, 522, 1034, 1237, 2538, 2402, 389, 3985, 1497, 378, 1029, 132, 1286, 85, 1398, 1370, 2693, 544, 1726, 518, 3185, 1372, 3717, 3430, 680, 346, 4022, 262, 2633, 1101, 25, 70, 1894, 1214, 2521, 1036, 2828, 1900, 1357, 882, 517, 2275, 2206, 1396, 2322, 1121, 19, 2587, 10, 325, 1372, 26, 1397, 22, 104, 1374, 1409, 1253, 2065, 3292, 134, 337, 493, 1967, 581, 2437, 325, 1391, 341, 2326, 1287, 501, 761, 345, 1733, 352, 462, 1167, 2379, 3078, 3783, 346, 352, 89, 82, 2124, 1881, 1535, 3365, 1089, 11, 2330, 2853, 1498, 1306, 2081, 2412, 3091, 185, 3750, 3438, 1391, 2069, 35, 3420, 2249, 245, 23, 374, 1922, 918, 1382, 1622, 3095, 550, 138, 1033, 2057, 2137, 2076, 10, 1438, 534, 517, 1113, 341, 24, 3525, 5, 136, 69, 1500, 1705, 3936, 1342, 1237, 549, 1484, 2984, 3048, 3016, 2280, 2053, 3126, 2826, 2205, 549, 325, 5, 97, 2395, 1372, 1354, 12, 3660, 3531, 4038, 1034, 2405, 3347, 938, 1371, 1883, 2586, 2310, 200, 537, 1437, 3256, 568, 1123, 1337, 13, 609, 3953, 1382, 1594, 1294, 2538, 1590, 1435, 1569, 1289, 1369, 2237, 285, 262, 1307, 2445, 3100, 65, 3131, 64, 1306, 782, 330, 547, 2581, 282, 1292, 1339, 3366, 1285, 3590, 1802, 1241, 414, 1677, 3935, 1774, 1372, 1370, 1370, 1372, 1114, 1494, 1402, 1498, 1863, 1349, 859, 1414, 1052, 883, 12, 90, 1820, 349, 1482, 3169, 1398, 2840, 304, 2654, 3419, 1883, 3559, 1653, 414, 3162, 3162, 3291, 91, 92, 71, 1429, 2189, 1165, 2192, 3914, 1046, 2012, 1409, 3281, 381, 1095, 3818, 1918, 1018, 2972, 3547, 1952, 1994, 3616, 342, 880, 790, 2967, 278, 2929, 280, 1403, 3940, 2665, 2909, 2899, 1514, 1541, 1466, 3547, 1506, 5, 3275, 1541, 2056, 2821, 1516, 350, 1820, 3451, 1666, 3912, 1082, 856, 1338, 2018, 1618, 3715, 18, 2817, 18, 1380, 3232, 2253, 4042, 3018, 2825, 1532, 4050, 1260, 985, 3949, 1743, 2081, 2441, 3306, 82, 1038, 566, 3051, 3402, 1872, 3049, 2169, 1721 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1721, 1653, 1769, 2154, 213, 3362, 290, 351, 3168, 3616, 3714, 87, 917, 286, 1865, 377, 1097, 1229, 3270, 949, 2134, 1949, 3245, 1333, 1244, 1534, 3695, 3198, 3182, 2670, 818, 3975, 2906, 3116, 1350, 1047, 3961, 1102, 1309, 1097, 284, 3546, 1954, 1955, 1480, 582, 853, 3075, 4027, 2240, 3681, 1630, 2761, 1663, 542, 2670, 2989, 1042, 2657, 854, 2065, 953, 1059, 3698, 1979, 3084, 3156, 2211, 913, 17, 28, 2933, 3528, 1800, 225, 1301, 1478, 3078, 1813, 1325, 1386, 16, 1382, 3451, 86, 3449, 2540, 2624, 2433, 3130, 1143, 3754, 3877, 3387, 2554, 3751, 487, 50, 1227, 2536, 88, 3774, 3856, 181, 1481, 339, 1411, 1394, 3166, 133, 17, 139, 797, 3182, 1164, 1282, 488, 4033, 1338, 1791, 959, 1905, 1280, 2821, 2552, 2549, 1740, 1024, 2246, 3187, 671, 1788, 494, 1379, 2207, 108, 2295, 505, 1125, 2123, 130, 285, 318, 1596, 4008, 1223, 2350, 1622, 4047, 2827, 3331, 2853, 2099, 2249, 2874, 3386, 3430, 2432, 1228, 2406, 3162, 3141, 2426, 2188, 2411, 2795, 2435, 428, 2304, 2294, 1409, 3827, 2617, 3878, 2426, 3132, 2498, 3114, 3416, 3460, 2858, 2475, 3628, 410, 3973, 1237, 1179, 4054, 2486, 2418, 3112, 2483, 424, 2290, 2156, 1475, 107, 2289, 2424, 3512, 2254, 1004, 3423, 655, 930, 654, 3615, 654, 3779, 3167, 1951, 3767, 591, 3999, 3749, 2479, 133, 3769, 2218, 4075, 2425, 2290, 2218, 2471, 3114, 3456, 2277, 2435, 2105, 2076, 2705, 3591, 2092, 311, 3115, 2216, 2302, 2088, 2558, 3928, 434, 2862, 3620, 1805, 454, 3144, 3065, 1871, 153, 3414, 1669, 130, 3928, 3598, 2234, 800, 1488, 628, 659, 957, 251, 1689, 3839, 1443, 1500, 1699, 609, 2248, 214, 3544, 2852, 3475, 1440, 400, 1739, 4004, 456, 3569, 252, 3532, 255, 1768, 126, 3633, 757, 1797, 1997, 3277, 568, 3292, 3909, 1837, 1973, 2838, 1529, 1882, 1955, 1443, 1523, 1973, 1961, 2588, 1792, 666, 1997, 3052, 3811, 716, 1021, 1740, 1264, 2715, 672, 4016, 1695, 1643, 1436, 843, 983, 2940, 476, 670, 1683, 476, 403, 287, 3699, 1727, 1693, 1696, 1744, 1470, 3993, 695, 1763, 576, 658, 3956, 3231, 3770, 3999, 1699, 1696, 910, 2051, 3578, 387, 2012, 1789, 2539, 3615, 1771, 415, 352, 3840, 3975, 1826, 3297, 2264, 59, 1901, 1568, 768, 2445, 1437, 1516, 1683, 771, 3124, 3999, 3979, 3615, 1772, 3726, 3616, 1427, 1696, 2128, 3583, 436, 2527, 4012, 2747, 3245, 1440, 2707, 3523, 1473, 2499, 3971, 3579, 524, 771, 1939, 3586, 3198, 652, 2427, 3740, 2979, 1496, 1434, 4035, 1021, 3971, 416, 927, 4023, 863, 1515, 515, 268, 2517, 981, 2053, 72, 3410, 703, 1237, 2345, 3661, 2183, 1358, 2203, 507, 2028, 1976, 476, 2858, 476, 2304, 1930, 3553, 2851, 1949, 502, 3004, 3263, 3112, 351, 471, 3729, 636, 1986, 1017, 4040, 453, 1753, 3598, 2384, 2408, 2036, 4045, 3088, 14, 240, 438, 2847, 1527, 2598, 2741, 3946, 1900, 1423, 798, 577, 445, 535, 141, 3621, 2873, 577, 2550, 839, 568, 2296, 2400, 4074, 1998, 3894, 595, 1665, 3021, 2292, 3412, 3027, 3084, 3135, 565, 2524, 2450, 2594, 612, 3224, 52, 44, 2061, 3971, 1888, 4027, 221, 305, 500, 2963, 901, 3402, 913, 3601, 933, 1265, 625, 126 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2399, 396, 3402, 164, 317, 258, 359, 2380, 1042, 329, 16, 56, 3154, 1289, 3659, 1404, 1357, 2200, 367, 372, 1527, 2177, 107, 1949, 508, 33, 933, 341, 1733, 3900, 1563, 846, 3321, 4038, 829, 1521, 3675, 2116, 2994, 3589, 58, 1883, 3586, 3162, 3417, 1394, 1378, 1533, 1411, 901, 868, 2386, 3418, 3424, 1892, 1694, 839, 551, 810, 689, 67, 2190, 1477, 2200, 476, 3457, 713, 344, 514, 1230, 2432, 1159, 92, 3591, 1386, 3519, 906, 1608, 4058, 3785, 500, 3362, 3657, 69, 507, 1288, 37, 518, 2485, 52, 638, 2542, 3991, 2582, 20, 1825, 2506, 3233, 1518, 3937, 2506, 3164, 1351, 1065, 385, 3948, 378, 3580, 1388, 1394, 2506, 1402, 2042, 1061, 2002, 937, 1542, 3870, 3201, 502, 638, 3597, 3905, 2273, 1940, 47, 1797, 1982, 2085, 143, 2145, 2447, 3700, 2691, 2563, 3935, 3078, 3205, 5, 6, 3145, 57, 343, 521, 1165, 525, 7, 551, 761, 2870, 3637, 2567, 2059, 3077, 16, 3077, 72, 53, 24, 3125, 1740, 1033, 226, 3616, 2045, 161, 2382, 3562, 2394, 1124, 2292, 3044, 2476, 421, 3552, 2507, 3123, 637, 3711, 623, 2984, 2552, 3844, 1707, 3176, 3708, 3562, 3900, 2604, 2536, 1487, 4033, 2962, 500, 508, 376, 3532, 3316, 2856, 2512, 2283, 4007, 2481, 2558, 3696, 510, 4013, 3777, 3905, 2535, 2491, 2283, 447, 159, 4081, 3516, 3842, 1278, 3696, 1526, 3690, 2036, 2115, 4083, 2251, 4020, 2930, 2930, 2540, 2540, 2540, 2536, 2539, 2203, 3710, 3721, 3778, 3938, 3710, 3714, 3954, 3970, 3646, 3662, 3697, 3862, 464, 2558, 3569, 2213, 2558, 108, 2553, 2494, 638, 3767, 2994, 2859, 630, 3701, 2950, 2481, 382, 3713, 2858, 2945, 3884, 3214, 3387, 2930, 2530, 3858, 3781, 2448, 2161, 2229, 676, 2852, 248, 898, 3409, 130, 2053, 1938, 1650, 1924, 3124, 3391, 15, 244, 25, 1094, 240, 3317, 418, 3848, 3174, 1217, 4036, 777, 237, 586, 1171, 408, 3205, 2169, 1158, 750, 181, 26, 3860, 3099, 388, 3004, 2088, 293, 70, 244, 3162, 215, 3190, 802, 1668, 1200, 370, 1490, 4022, 1954, 1242, 2738, 2216, 748, 2280, 2343, 2419, 2539, 2472, 1447, 2277, 2216, 2327, 2215, 2272, 60, 3550, 3802, 1906, 2844, 3059, 2546, 180, 1994, 2519, 4042, 2913, 1540, 4077, 2603, 3292, 929, 3540, 3900, 3784, 2659, 3974, 615, 1875, 1837, 1634, 2594, 2418, 2589, 1768, 2574, 1525, 463, 1590, 3702, 3454, 3454, 3950, 2670, 3004, 886, 1552, 2770, 2068, 910, 3222, 1638, 2812, 700, 189, 3017, 4002, 3852, 2044, 2213, 1308, 1249, 1513, 3530, 3673, 419, 237, 2383, 3181, 2982, 93, 3648, 790, 1991, 1938, 2626, 2770, 1591, 1046, 1156, 644, 2900, 3644, 3236, 2678, 2004, 1996, 1744, 467, 937, 2989, 2519, 2284, 499, 1790, 4003, 3518, 1532, 3600, 3840, 3159, 2031, 1124, 3392, 3582, 1792, 3575, 1762, 3005, 3863, 1396, 1954, 4051, 3005, 1794, 1574, 1918, 3693, 3362, 3006, 2660, 3809, 3817, 1904, 3600, 215, 3716, 2284, 372, 3056, 51, 3617, 2472, 1204, 3111, 1771, 2816, 1012, 1840, 2221, 1822, 2800, 2795, 2083, 2989, 936, 423, 1875, 3092, 2958, 3182, 3694, 1598, 1966, 3821, 3797, 2870, 1660, 2230, 2165, 541, 1750, 1305, 1253, 1166, 3543, 1274, 890, 100, 599, 2791, 907, 2488, 203 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 119, 1456, 2186, 2490, 3688, 3907, 3627, 3774, 3499, 3896, 2151, 2491, 3640, 2422, 3306, 3752, 3692, 3335, 2536, 2947, 3710, 2166, 3982, 3419, 360, 3913, 3932, 3175, 1987, 901, 3848, 2092, 3157, 1317, 184, 3082, 4089, 3382, 615, 3026, 547, 2025, 2010, 2613, 1840, 1458, 1968, 3597, 2669, 3678, 1633, 3349, 2159, 3858, 3677, 4070, 1733, 1902, 1842, 3806, 2628, 1412, 1999, 3389, 2670, 3044, 2048, 3566, 1507, 2942, 2019, 3831, 1920, 3794, 4051, 3245, 3542, 1892, 2011, 3613, 4037, 1630, 2849, 3954, 2645, 967, 3823, 4032, 2366, 2019, 2657, 3234, 1634, 4016, 971, 3047, 2044, 3568, 3577, 2215, 2219, 2988, 2476, 2479, 2351, 3224, 427, 2816, 1966, 3646, 3714, 3712, 886, 3702, 3812, 3580, 3832, 1940, 3044, 851, 1971, 1889, 1942, 1891, 1955, 1955, 947, 2227, 2603, 2851, 2212, 148, 1972, 3812, 504, 161, 1955, 2924, 2053, 3301, 3083, 4086, 1109, 1608, 3394, 554, 101, 1417, 3978, 789, 2070, 730, 1538, 134, 72, 809, 812, 3102, 799, 1097, 1101, 2123, 515, 1336, 1627, 2523, 3312, 2142, 1804, 2570, 1797, 1541, 3454, 2582, 15, 523, 1379, 73, 2021, 1892, 1138, 1466, 1623, 1374, 1562, 3928, 3345, 1801, 1621, 3942, 2889, 2150, 1605, 3582, 237, 3648, 12, 11, 1384, 856, 2567, 924, 966, 2421, 202, 2150, 1199, 1421, 549, 1100, 1161, 1870, 2144, 106, 3088, 1897, 2373, 1909, 266, 3594, 3083, 137, 1862, 757, 1449, 3611, 2698, 1793, 442, 2176, 941, 138, 1338, 1781, 2394, 1041, 1669, 576, 775, 2849, 3629, 2703, 241, 55, 3057, 3390, 1422, 1219, 560, 2142, 1856, 3624, 3554, 2590, 2582, 2830, 2710, 2612, 1574, 1574, 2854, 2598, 2590, 3644, 3104, 2560, 1481, 3821, 444, 2622, 1378, 355, 3259, 1921, 353, 1942, 3600, 1891, 3044, 2209, 1954, 1940, 1879, 1954, 1938, 1938, 1891, 1505, 3990, 3170, 1892, 1907, 3840, 656, 639, 3, 2, 3267, 314, 3911, 302, 1302, 839, 283, 1110, 1630, 1370, 1884, 2136, 590, 1343, 2292, 2012, 1525, 797, 36, 3217, 539, 2059, 1463, 103, 1301, 35, 1983, 589, 411, 252, 26, 1134, 2799, 133, 1415, 1292, 586, 1477, 1422, 3025, 1245, 2611, 55, 3323, 916, 1390, 711, 150, 3686, 1919, 699, 2263, 1828, 2301, 2190, 1866, 3349, 1602, 1234, 3579, 470, 649, 178, 3607, 252, 99, 1285, 381, 722, 3343, 1409, 853, 2788, 3846, 986, 320, 541, 1068, 1327, 3058, 2682, 1025, 328, 69, 1038, 1304, 2374, 1433, 2989, 474, 1543, 3350, 1961, 120, 1287, 3163, 1365, 349, 1118, 2375, 85, 365, 1065, 1481, 325, 1626, 1577, 275, 1338, 1598, 346, 1877, 2523, 2138, 198, 3777, 1997, 837, 1110, 845, 3603, 3313, 980, 1918, 3289, 199, 17, 2657, 602, 1408, 3044, 2033, 1126, 1081, 1056, 1322, 3581, 3397, 1052, 989, 1116, 3413, 2123, 3201, 1094, 285, 1477, 1141, 282, 3077, 965, 1434, 1541, 3541, 3802, 2034, 1921, 2948, 873, 2270, 1380, 369, 166, 1691, 1196, 3366, 2394, 1073, 1443, 1882, 1370, 1365, 3002, 597, 3426, 3803, 1059, 4034, 270, 3118, 3125, 3519, 89, 342, 362, 3606, 2341, 606, 3748, 10, 1540, 1550, 2058, 1668, 610, 1231, 1794, 919, 810, 1447, 375, 388, 1657, 2254, 2382, 1948, 603, 3870, 2569, 542, 1555, 1508, 75, 2006, 566 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1409, 1368, 3311, 1676, 1401, 3590, 355, 21, 1125, 3306, 149, 1533, 2158, 2987, 2073, 1311, 598, 614, 1453, 2157, 3838, 1055, 2109, 3368, 1089, 2228, 3080, 3162, 2599, 882, 1916, 3553, 78, 2945, 2072, 2154, 3583, 80, 535, 1882, 611, 1997, 2826, 1802, 1376, 2962, 1957, 2004, 1040, 95, 979, 143, 575, 2628, 2400, 2721, 850, 2031, 1232, 1808, 3236, 3899, 1410, 1668, 212, 1474, 1551, 3636, 585, 3725, 269, 1692, 3485, 1462, 2814, 3970, 2780, 3640, 2765, 2031, 1971, 401, 1015, 897, 3482, 3928, 2068, 1499, 1999, 3306, 2009, 155, 759, 3149, 3821, 1557, 2142, 1023, 1906, 3944, 17, 2276, 874, 1818, 3592, 3578, 2529, 830, 1086, 1838, 187, 3150, 2672, 2605, 1046, 2632, 1702, 1791, 3047, 3323, 2978, 2101, 1907, 4045, 8, 3320, 1063, 3005, 3127, 3976, 3234, 210, 2586, 1746, 3946, 1289, 233, 341, 1653, 684, 1118, 1572, 1551, 103, 517, 2138, 3585, 2829, 389, 2462, 3177, 2755, 3594, 2899, 2216, 69, 1797, 2266, 2381, 317, 350, 2426, 1399, 1141, 1301, 890, 1310, 1410, 1473, 473, 2411, 3173, 425, 2906, 1342, 3144, 1998, 3269, 3578, 3389, 2565, 3211, 1322, 373, 1610, 1883, 2218, 2351, 797, 379, 1113, 1292, 1026, 981, 3365, 1693, 1380, 619, 2635, 130, 2529, 475, 1320, 1081, 619, 1478, 1433, 1672, 2428, 2645, 2606, 1678, 1321, 2027, 2077, 2533, 1546, 2878, 1093, 4022, 522, 1700, 3735, 157, 1361, 556, 1115, 594, 3872, 483, 3442, 3243, 3674, 1368, 1996, 612, 1035, 355, 2778, 1626, 1903, 596, 2413, 1454, 375, 3929, 3016, 1114, 1401, 437, 1244, 218, 343, 2723, 838, 1101, 1093, 186, 267, 27, 2134, 1290, 1673, 2523, 288, 2137, 1207, 292, 2130, 83, 2843, 3164, 3620, 1093, 2846, 1130, 967, 2117, 920, 122, 74, 230, 3602, 1133, 678, 38, 911, 2413, 2266, 263, 26, 2075, 1547, 1760, 3610, 2652, 1628, 1372, 1564, 2652, 2624, 2386, 1200, 2309, 1033, 677, 597, 2885, 2193, 1459, 1528, 645, 2612, 2574, 384, 2405, 1541, 637, 1740, 905, 373, 1383, 125, 3573, 1050, 2278, 62, 1355, 18, 1589, 891, 53, 234, 2559, 3322, 3172, 340, 616, 92, 203, 860, 372, 3318, 1032, 194, 1301, 470, 789, 2069, 3550, 1862, 60, 274, 1797, 3415, 2149, 1030, 325, 21, 10, 346, 1286, 89, 1199, 8, 1290, 4031, 2098, 4096, 3799, 1285, 3433, 69, 1109, 2821, 1082, 87, 16, 3115, 3824, 2573, 614, 346, 897, 10, 13, 1677, 633, 3362, 3606, 440, 3917, 2519, 2325, 3367, 903, 600, 1510, 1929, 69, 1067, 225, 3809, 1096, 399, 2137, 1947, 233, 872, 2143, 2238, 4019, 2029, 1100, 2953, 942, 2462, 2441, 1165, 1097, 1104, 2539, 1443, 2978, 2868, 2291, 881, 2282, 1622, 3354, 1001, 797, 330, 487, 69, 3165, 1461, 3109, 1557, 119, 631, 3563, 3748, 3127, 1117, 590, 3882, 548, 2177, 1482, 1111, 525, 421, 2855, 2318, 636, 572, 444, 69, 2374, 1989, 1545, 125, 267, 2073, 778, 1046, 20, 1998, 3095, 1293, 2314, 721, 549, 1045, 11, 782, 2089, 2061, 2073, 37, 5, 2064, 1070, 3206, 3850, 69, 1226, 69, 1869, 3448, 1810, 3240, 6, 1812, 3153, 1021, 3399, 2969, 2245, 1810, 3859, 2325, 3197, 134, 1840, 166, 12, 2823, 1162, 834, 85 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 426, 661, 3431, 993, 71, 521, 1876, 2552, 787, 3985, 179, 120, 1609, 1030, 1800, 1805, 282, 1139, 2375, 78, 725, 1030, 2180, 915, 561, 1950, 165, 2596, 1202, 1349, 2397, 902, 1627, 202, 3866, 1113, 2289, 1032, 646, 2582, 625, 401, 328, 2158, 1229, 4048, 1143, 2135, 778, 1317, 2834, 37, 3078, 3226, 614, 21, 150, 119, 1316, 65, 2098, 1095, 2113, 133, 1031, 88, 229, 1950, 1222, 1366, 1444, 325, 3035, 107, 775, 618, 2462, 1071, 657, 2431, 35, 1667, 60, 1601, 593, 3477, 2090, 1235, 1546, 1925, 1273, 2084, 344, 3105, 21, 29, 965, 2094, 1226, 1963, 1229, 3093, 1111, 3717, 1222, 21, 1052, 3725, 49, 3114, 3847, 3093, 2076, 3114, 1061, 1051, 2066, 1551, 655, 783, 1153, 849, 2091, 2120, 861, 32, 1721, 1157, 1301, 2783, 1269, 1301, 699, 2364, 3097, 1045, 2096, 549, 3413, 1045, 1389, 965, 1049, 1069, 303, 445, 15, 2151, 51, 717, 3909, 1595, 2823, 559, 2741, 1040, 3851, 196, 146, 2093, 3603, 1541, 134, 3282, 21, 1109, 2836, 2586, 1361, 1597, 663, 833, 494, 2121, 532, 3383, 773, 581, 805, 1477, 281, 310, 577, 3727, 3811, 1097, 8, 3914, 1208, 69, 53, 1309, 295, 17, 3350, 634, 2177, 1117, 393, 22, 1126, 1481, 137, 1412, 3109, 2137, 1366, 3082, 3330, 2357, 1654, 2329, 3457, 1414, 2521, 776, 385, 3654, 1334, 440, 65, 2444, 214, 257, 69, 3269, 2485, 1114, 3256, 3077, 118, 1314, 1290, 3137, 6, 362, 2588, 245, 1098, 389, 51, 1398, 3301, 1273, 1349, 693, 762, 382, 3139, 857, 1106, 1793, 1653, 110, 3111, 1719, 3445, 1311, 3466, 69, 582, 864, 3870, 3078, 2680, 2239, 860, 3872, 6, 2677, 2111, 3254, 3398, 1723, 362, 3101, 18, 1345, 1677, 110, 3303, 3771, 376, 1503, 3205, 3077, 358, 169, 73, 605, 101, 261, 3178, 3078, 58, 454, 10, 3080, 3302, 1605, 262, 485, 366, 1394, 694, 385, 3893, 262, 631, 119, 1021, 598, 901, 2070, 2646, 3148, 1787, 1590, 1466, 70, 3083, 3153, 489, 53, 2058, 273, 2578, 787, 2647, 93, 2619, 1337, 3551, 261, 3941, 181, 3204, 1709, 38, 2857, 3402, 3222, 6, 1040, 61, 2071, 2509, 3151, 2851, 203, 2924, 1046, 1129, 600, 3858, 2054, 350, 2085, 1483, 1990, 2294, 1423, 26, 1057, 10, 2249, 1477, 48, 2654, 2325, 272, 3078, 1734, 1623, 3107, 2140, 3925, 2064, 2729, 3094, 1413, 3301, 1996, 534, 1080, 136, 1781, 42, 3468, 1353, 1996, 286, 1385, 293, 1479, 138, 556, 341, 1413, 1049, 282, 1157, 231, 545, 26, 2456, 6, 2310, 1689, 88, 40, 2139, 1530, 284, 1387, 524, 1049, 40, 428, 773, 1389, 2073, 1810, 433, 1447, 13, 1336, 923, 3130, 1432, 3741, 2814, 591, 3334, 1503, 3109, 5, 1086, 7, 1225, 2053, 578, 1877, 3845, 2383, 1061, 854, 101, 1048, 40, 150, 1573, 805, 2133, 3417, 518, 649, 1370, 345, 1286, 1169, 35, 350, 1111, 1429, 1190, 697, 457, 654, 1589, 266, 3167, 1926, 2229, 1435, 2523, 55, 8, 3195, 2383, 1141, 1558, 3767, 1307, 2233, 583, 1298, 1366, 53, 265, 105, 3101, 3862, 3409, 54, 518, 372, 517, 2037, 334, 1205, 296, 300, 25, 364, 1573, 1481, 2574, 797, 20, 3849, 120 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1347, 634, 1989, 2009, 3713, 624, 3175, 3190, 1418, 9, 2246, 9, 118, 1290, 3079, 71, 2085, 1354, 326, 1669, 1578, 1718, 2202, 7, 346, 374, 2101, 1520, 1329, 38, 2905, 2905, 1293, 1399, 1317, 170, 374, 587, 569, 3717, 374, 1307, 141, 2058, 1286, 117, 3210, 53, 281, 3175, 3109, 2094, 3338, 381, 3241, 503, 415, 283, 10, 3356, 2117, 3115, 1290, 342, 261, 1199, 3401, 519, 803, 3082, 1174, 3729, 1674, 1574, 118, 3845, 1321, 274, 104, 3517, 35, 3078, 666, 1141, 286, 90, 199, 3114, 1351, 150, 1866, 274, 54, 207, 1882, 690, 1321, 129, 3077, 1546, 1934, 10, 2357, 6, 198, 310, 394, 2101, 3967, 361, 262, 3846, 74, 3344, 363, 341, 770, 2122, 1045, 2137, 573, 2089, 2069, 265, 1382, 557, 616, 13, 23, 1490, 541, 2349, 650, 1285, 676, 22, 2246, 277, 109, 522, 2247, 1387, 1485, 537, 282, 1039, 2137, 1477, 1357, 385, 26, 2074, 2137, 1111, 1050, 1053, 1374, 605, 1321, 1877, 1109, 93, 3082, 278, 1493, 2567, 7, 4008, 152, 7, 2057, 456, 1222, 1365, 2246, 1804, 954, 1040, 25, 284, 244, 3264, 1562, 1224, 4088, 854, 2575, 2117, 2131, 682, 2600, 1353, 133, 1381, 1437, 416, 1789, 1390, 1502, 1498, 1501, 1518, 1517, 3818, 919, 2793, 21, 271, 2062, 1074, 39, 923, 2972, 3279, 45, 3053, 586, 3818, 2077, 14, 3616, 467, 266, 3098, 2182, 3644, 3093, 1384, 2117, 3674, 389, 861, 3090, 3461, 3078, 2412, 3768, 3446, 1930, 970, 2246, 1480, 402, 2506, 3064, 3157, 199, 3929, 1036, 1093, 1225, 521, 891, 1493, 1042, 3144, 1477, 921, 2589, 261, 1109, 9, 6, 1114, 1349, 1050, 304, 2053, 3398, 1510, 325, 492, 1246, 2906, 1309, 1366, 280, 1306, 393, 3407, 3137, 1383, 1875, 1294, 1586, 3477, 3978, 3079, 2172, 2139, 2652, 99, 24, 2408, 2116, 1595, 1585, 1493, 94, 3430, 4058, 73, 637, 862, 1182, 1562, 1498, 273, 508, 3406, 629, 3669, 3302, 1090, 1214, 3641, 55, 134, 1041, 2086, 1046, 1216, 1129, 2028, 2005, 118, 3921, 1687, 1315, 1175, 1975, 3123, 1557, 538, 3385, 1810, 1653, 2153, 44, 892, 3163, 2913, 896, 3154, 659, 3106, 2270, 2294, 1925, 2394, 3429, 3602, 2522, 1885, 3081, 21, 1481, 1450, 1036, 1778, 1889, 2076, 1125, 278, 1628, 618, 2871, 3172, 1371, 1863, 3142, 1365, 1289, 442, 97, 1045, 1359, 1898, 2789, 3114, 3185, 624, 152, 305, 3081, 1060, 473, 3027, 1125, 139, 1247, 346, 3258, 3291, 3707, 2213, 2149, 2829, 2060, 3106, 1653, 71, 2871, 1361, 3910, 329, 1369, 1350, 1575, 673, 603, 549, 157, 1037, 2713, 3455, 1460, 2082, 76, 1692, 1978, 3981, 1053, 3961, 3667, 2913, 416, 3, 2, 890, 2702, 3693, 830, 1527, 3649, 2954, 531, 3214, 1949, 144, 19, 3243, 274, 3439, 638, 2053, 2649, 2705, 358, 2969, 135, 419, 467, 552, 3283, 3758, 1298, 3375, 894, 2866, 2912, 2997, 107, 411, 983, 599, 3379, 316, 199, 3246, 1490, 3375, 384, 20, 2137, 13, 359, 415, 967, 611, 3123, 404, 999, 4014, 1298, 3439, 638, 2065, 3417, 917, 3173, 1431, 19, 611, 1843, 752, 182, 2649, 889, 2706, 3761, 810, 1443, 780, 314, 1925, 1418, 1976, 1936, 3072, 207, 2909 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 891, 2698, 3688, 814, 1509, 3850, 2871, 1415, 1166, 1180, 912, 2549, 211, 2721, 890, 2706, 3688, 2606, 1517, 1858, 2202, 440, 1680, 1978, 1929, 2104, 951, 845, 896, 2758, 3697, 106, 1629, 786, 2187, 1508, 907, 904, 1929, 3064, 963, 2649, 889, 2702, 3421, 974, 1542, 3513, 2955, 1476, 1929, 1948, 393, 1528, 20, 1197, 890, 2638, 3697, 978, 1287, 1086, 2951, 1956, 1935, 1928, 905, 2549, 15, 96, 891, 2702, 3697, 878, 293, 2366, 2859, 1421, 1930, 1973, 2957, 3064, 99, 2653, 890, 2958, 3685, 98, 1521, 3136, 2247, 660, 142, 1973, 2953, 3076, 7, 2637, 890, 2190, 3685, 2742, 551, 18, 2619, 1539, 3215, 1987, 3119, 1152, 3625, 116, 325, 646, 1242, 778, 153, 3081, 469, 1077, 3336, 1280, 9, 69, 1850, 1033, 1370, 1082, 1221, 1785, 3555, 2586, 3416, 1711, 1824, 674, 649, 1411, 360, 2144, 3469, 2544, 2694, 1954, 3466, 1402, 1660, 2822, 224, 3674, 1562, 1165, 1542, 2211, 355, 4013, 3846, 510, 693, 2839, 922, 1756, 656, 1428, 1848, 2163, 1107, 3027, 3901, 1470, 1775, 3005, 549, 639, 3724, 644, 2069, 3365, 1374, 698, 1938, 2655, 3845, 2491, 2092, 3286, 3612, 3839, 3358, 4033, 3695, 1724, 3978, 322, 1254, 3773, 2285, 3475, 2525, 3730, 636, 2141, 583, 553, 1306, 346, 2435, 1875, 1445, 3058, 2918, 1959, 821, 2061, 2107, 702, 3361, 3645, 2274, 544, 2945, 3190, 2341, 2598, 3046, 3961, 2500, 132, 1729, 2352, 2686, 3941, 3651, 2789, 3187, 2615, 3369, 2679, 2341, 3903, 3167, 891, 574, 3965, 3826, 4007, 3686, 3649, 3367, 1595, 3065, 892, 3006, 1387, 3226, 4059, 2584, 267, 3363, 111, 647, 899, 3442, 2714, 4026, 1705, 2507, 1987, 2039, 118, 2928, 1131, 1189, 1718, 2656, 4031, 1179, 3748, 255, 639, 515, 199, 3644, 195, 14, 1452, 3272, 3029, 3373, 265, 3367, 2073, 224, 2107, 614, 347, 391, 2536, 2344, 2833, 1665, 3713, 2867, 1885, 2227, 2158, 1214, 3089, 986, 1860, 6, 3235, 2853, 2145, 3188, 108, 2845, 3124, 365, 3806, 3887, 2987, 101, 3881, 2435, 2278, 2729, 153, 191, 2793, 793, 2597, 3656, 2398, 1045, 3380, 3210, 5, 2569, 26, 1159, 2018, 1116, 283, 794, 1301, 275, 2652, 2005, 359, 1470, 2764, 3741, 726, 2813, 2107, 1668, 1541, 711, 793, 3042, 4031, 1670, 1337, 655, 1484, 670, 1919, 528, 2800, 525, 3791, 3715, 3275, 1917, 11, 814, 830, 1760, 2706, 312, 1539, 914, 1760, 2826, 2801, 902, 1684, 1598, 1652, 3484, 1260, 3871, 2972, 2042, 3572, 154, 1940, 554, 83, 13, 2756, 2588, 2971, 90, 2949, 1065, 4000, 3341, 1733, 1555, 2301, 3288, 2817, 1055, 541, 2979, 3457, 503, 762, 1559, 1434, 1435, 1717, 1534, 719, 1507, 1289, 543, 2549, 20, 1997, 1298, 1253, 2045, 505, 3924, 3118, 625, 2899, 1918, 1661, 3236, 2066, 783, 2836, 1967, 550, 3044, 2337, 609, 2989, 3951, 3973, 2018, 2083, 3597, 3438, 2916, 1779, 2145, 2605, 2098, 2830, 3249, 782, 2260, 1630, 2653, 1022, 3010, 3060, 802, 2605, 2038, 1848, 2236, 2748, 1548, 490, 3055, 3940, 1885, 3786, 2244, 3877, 3850, 3527, 18, 2670, 3033, 2926, 1894, 2621, 3677, 3026, 1579, 3021, 3873, 1886, 2009, 1652, 2989, 4019, 571, 2289, 1845, 1636, 2787, 3139, 1286, 2821 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1098, 1344, 2134, 959, 384, 3107, 3034, 1379, 615, 2907, 1846, 1681, 2728, 884, 354, 2528, 1171, 1755, 1727, 1596, 927, 766, 3488, 2556, 1673, 1680, 650, 342, 1309, 857, 34, 346, 2183, 1289, 2058, 1635, 135, 1384, 1847, 3773, 529, 149, 2986, 1477, 493, 51, 2396, 2246, 2275, 1957, 2522, 1495, 3368, 69, 581, 1043, 597, 105, 3626, 266, 265, 1353, 347, 1102, 3369, 1174, 585, 1174, 1609, 3418, 269, 1685, 2085, 376, 3526, 1306, 1863, 1328, 2579, 45, 922, 9, 3720, 1363, 4037, 233, 549, 1270, 1959, 16, 3581, 3692, 1079, 87, 1137, 378, 1360, 30, 3237, 1113, 347, 3029, 3482, 234, 3454, 2470, 1909, 3093, 1482, 3722, 1534, 1227, 490, 2949, 1409, 3948, 1535, 2280, 3586, 2277, 3634, 1423, 3776, 883, 538, 1696, 517, 3820, 2181, 3916, 1083, 4021, 63, 3959, 266, 1998, 1102, 3449, 698, 2080, 2344, 424, 2863, 968, 2260, 3059, 2225, 781, 1692, 1989, 969, 781, 1587, 1824, 3613, 439, 2963, 953, 493, 1738, 2969, 2534, 2963, 1408, 750, 1773, 352, 1012, 717, 2931, 3044, 2787, 1872, 3812, 3838, 2650, 3696, 3680, 543, 2001, 1341, 2768, 788, 977, 1600, 1997, 1697, 1975, 3028, 3696, 2043, 2611, 3519, 797, 787, 3040, 1920, 3613, 510, 637, 1261, 763, 2003, 2027, 1570, 3787, 1984, 1828, 978, 2792, 1188, 3162, 1547, 3262, 1528, 1957, 1952, 496, 3629, 1731, 1972, 2337, 1526, 1907, 3567, 1999, 1815, 1332, 3259, 3044, 3695, 980, 2704, 540, 3236, 1549, 3868, 1965, 2301, 3054, 2045, 495, 2003, 2029, 2683, 2029, 863, 2951, 3827, 1567, 715, 3598, 3038, 625, 3634, 1745, 2661, 2911, 660, 3043, 780, 993, 1885, 2927, 3525, 1568, 973, 1937, 765, 1542, 3933, 657, 3538, 1439, 959, 899, 1869, 1374, 2079, 2377, 1453, 1939, 2405, 3777, 2215, 3611, 3582, 64, 2864, 2486, 4017, 2561, 2849, 3858, 4001, 4003, 957, 3137, 14, 13, 3901, 3907, 1950, 4001, 4017, 61, 61, 4001, 67, 3637, 251, 3125, 3249, 3848, 1987, 1800, 1905, 1237, 799, 2113, 1087, 49, 57, 3452, 2582, 2567, 10, 418, 1669, 1562, 89, 348, 1161, 743, 2329, 2618, 1543, 1823, 369, 2651, 1066, 357, 294, 1458, 52, 389, 1861, 1834, 1054, 1098, 540, 9, 1862, 3900, 3671, 1305, 1374, 3098, 3433, 1098, 86, 1557, 1707, 202, 1143, 1381, 2544, 2373, 3402, 1577, 34, 533, 12, 2117, 1396, 1287, 26, 2402, 1567, 2391, 297, 3542, 3557, 3349, 2854, 2902, 1755, 1527, 2847, 1088, 368, 628, 167, 1462, 264, 123, 1313, 3415, 1015, 1346, 1054, 61, 76, 266, 1814, 138, 3454, 657, 74, 1546, 1317, 1373, 1341, 1369, 1416, 928, 2622, 407, 3233, 66, 1629, 3936, 3734, 1350, 382, 3180, 4061, 377, 332, 3454, 1666, 1877, 1009, 645, 3464, 1513, 1330, 3306, 290, 1299, 1426, 3167, 131, 837, 81, 3083, 3537, 1474, 3071, 199, 2102, 1931, 3557, 3862, 2077, 86, 1745, 246, 247, 2911, 2503, 325, 374, 247, 1877, 2373, 1206, 246, 82, 3656, 2012, 893, 3525, 3090, 3254, 512, 2711, 1556, 279, 2152, 3144, 1695, 821, 770, 3498, 1464, 3254, 3813, 571, 3266, 3244, 655, 3217, 1448, 1477, 2878, 3272, 2932, 2351, 2363, 2036, 73, 428, 1469, 1531, 2220, 3710, 2326, 4012, 2207, 283, 532 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3781, 2557, 653, 2395, 3928, 2502, 3502, 1339, 310, 1116, 2654, 100, 1450, 2019, 2565, 3711, 3868, 1099, 387, 492, 4026, 575, 3967, 2162, 2340, 3814, 2959, 1160, 3720, 2031, 2547, 2539, 2555, 411, 80, 447, 1384, 3199, 3479, 2148, 3762, 3238, 3003, 2215, 23, 1781, 630, 3638, 2663, 191, 660, 3866, 1435, 1766, 3587, 2028, 2467, 8, 2160, 3146, 245, 257, 1025, 2550, 2463, 3244, 3007, 3183, 412, 475, 2097, 213, 1306, 83, 1373, 1995, 17, 405, 485, 333, 836, 4047, 2689, 4059, 216, 974, 2137, 273, 1093, 70, 1304, 3625, 1302, 2662, 3774, 4012, 2418, 1663, 2226, 1119, 130, 1324, 3105, 3262, 4011, 2460, 3426, 4007, 2170, 2300, 3562, 2622, 38, 3244, 3714, 3112, 3011, 2581, 372, 32, 2697, 2853, 3394, 103, 1115, 2008, 1849, 2397, 1049, 1314, 1891, 1129, 1611, 2295, 2165, 1687, 2613, 1962, 1867, 4010, 2218, 2033, 4092, 3621, 2349, 1587, 3423, 3585, 2341, 3267, 2828, 4060, 2347, 2677, 1095, 3267, 2406, 2858, 3443, 2102, 3052, 4009, 2862, 3127, 3971, 1713, 2934, 2624, 722, 3696, 2212, 2868, 1261, 2830, 3588, 2564, 2837, 3886, 3219, 3905, 1960, 3122, 3694, 1921, 1032, 1228, 714, 3177, 3371, 1286, 3077, 2378, 215, 42, 1088, 352, 3656, 325, 1098, 3188, 1046, 1605, 965, 2409, 1517, 342, 2431, 2924, 10, 3083, 2109, 2084, 3390, 3947, 1309, 1098, 1143, 3939, 1048, 1916, 2826, 270, 3146, 3670, 2053, 1014, 1443, 3297, 1585, 2627, 1492, 2424, 1483, 992, 1212, 273, 2315, 916, 1900, 1269, 859, 90, 508, 1608, 69, 1562, 2955, 362, 3642, 2262, 3368, 3222, 3507, 2115, 2417, 2423, 691, 2470, 2075, 2253, 3275, 3107, 3434, 2853, 754, 3586, 3331, 2854, 3772, 2307, 3196, 3332, 3057, 1916, 2301, 5, 451, 886, 3940, 2441, 1384, 2484, 1208, 612, 1460, 450, 1436, 2854, 2121, 1284, 1890, 1441, 503, 1832, 1349, 545, 1149, 3195, 2141, 2853, 1041, 1035, 2984, 2612, 298, 1919, 775, 1391, 1748, 2568, 246, 2157, 794, 3619, 2598, 3705, 4013, 1595, 2612, 3950, 1374, 3191, 2565, 3710, 2737, 86, 17, 2879, 518, 3774, 2582, 2655, 861, 2836, 1085, 3649, 753, 2100, 3043, 3512, 669, 3609, 1837, 1556, 2209, 1574, 1933, 2689, 846, 2033, 3931, 3712, 1782, 1860, 2335, 3138, 172, 2623, 61, 3500, 1712, 2117, 1694, 1460, 1573, 1597, 3027, 2085, 379, 2080, 2589, 3937, 1933, 2472, 2789, 1727, 2955, 2194, 1058, 1541, 1950, 3693, 3519, 858, 3985, 1917, 2022, 2797, 3091, 1997, 2845, 3615, 2029, 3292, 61, 3614, 1325, 2238, 1922, 298, 3849, 1304, 3173, 1949, 2591, 1053, 609, 2058, 1657, 3689, 523, 1046, 1737, 3765, 1116, 325, 3162, 1928, 1789, 309, 21, 2399, 1113, 1365, 490, 1829, 2421, 1893, 152, 899, 238, 1285, 2874, 72, 154, 1030, 1160, 286, 1365, 1350, 2205, 2245, 3925, 1045, 597, 1306, 565, 91, 2901, 729, 794, 282, 3362, 444, 1869, 140, 1034, 11, 3218, 1575, 1050, 1037, 1223, 1179, 3129, 21, 1377, 1405, 34, 902, 34, 1290, 3172, 2572, 850, 71, 2966, 22, 102, 1043, 2978, 85, 55, 1229, 3211, 3144, 305, 1030, 745, 1737, 2379, 1075, 334, 868, 759, 2970, 3723, 581, 2625, 3094, 1883, 3445, 92, 854, 30, 1031, 1362, 1118, 2246, 1526, 138, 1209 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 854, 37, 647, 54, 1225, 230, 1165, 1365, 3594, 3447, 487, 3531, 3654, 3013, 2163, 3058, 2522, 3079, 1817, 3081, 1968, 331, 149, 1989, 1354, 1048, 329, 3420, 2105, 3621, 1935, 3090, 1881, 2172, 665, 3827, 3635, 2754, 3259, 750, 2172, 2630, 2725, 3786, 1071, 1377, 3581, 3, 2, 291, 890, 490, 988, 2538, 1097, 1357, 1033, 1497, 121, 1161, 1160, 2352, 2393, 1356, 2389, 4030, 2518, 1378, 67, 2399, 925, 1405, 3398, 1286, 3932, 3748, 3418, 2533, 2083, 2537, 332, 3526, 1370, 3066, 2243, 1930, 3077, 1555, 422, 54, 2520, 822, 1959, 2338, 278, 3363, 790, 1016, 278, 3384, 790, 909, 3640, 2442, 394, 1661, 3495, 1734, 2650, 3420, 2527, 2160, 34, 1402, 1305, 325, 3781, 1928, 3675, 3069, 1324, 3157, 85, 136, 3845, 1761, 773, 3269, 831, 4024, 1852, 888, 997, 529, 963, 134, 1626, 2355, 767, 810, 1927, 266, 3850, 1690, 1452, 2699, 2698, 1710, 1434, 2975, 991, 942, 2458, 2536, 2147, 1419, 1403, 1501, 899, 517, 3208, 17, 199, 1553, 3455, 2972, 649, 930, 2698, 2301, 526, 1853, 3599, 1826, 1708, 1710, 3291, 2462, 1430, 870, 2543, 3502, 1439, 3819, 1044, 1277, 5, 17, 5, 13, 980, 3560, 4096, 1996, 2563, 3537, 3233, 2321, 869, 830, 466, 2258, 364, 780, 1693, 3441, 3857, 3914, 224, 861, 1998, 2042, 263, 1809, 2718, 2503, 1320, 2414, 2148, 415, 473, 1182, 572, 142, 1315, 3916, 2068, 1409, 258, 1621, 941, 2442, 1130, 135, 1478, 3814, 1037, 1373, 34, 3084, 2253, 211, 545, 1505, 2954, 23, 3120, 281, 221, 263, 2281, 923, 26, 425, 22, 381, 294, 1517, 3626, 2778, 1538, 2154, 1477, 1200, 1797, 3189, 3189, 3189, 3560, 1950, 2102, 1662, 3760, 1388, 1710, 2433, 1375, 358, 2440, 3755, 443, 2133, 2006, 3253, 2526, 1188, 2266, 1704, 3825, 2032, 225, 243, 2221, 328, 2618, 1795, 1342, 88, 3234, 2607, 1371, 586, 1590, 2478, 2607, 2715, 2222, 2651, 1427, 1374, 1544, 1882, 1639, 517, 292, 136, 2480, 1409, 3416, 960, 3591, 5, 3781, 13, 3688, 1549, 533, 58, 1362, 1340, 2485, 88, 941, 887, 2181, 776, 4084, 4095, 1996, 1374, 2202, 2341, 242, 1656, 2065, 60, 2373, 2201, 1389, 587, 27, 1483, 663, 2860, 870, 2429, 458, 1069, 346, 1182, 1644, 1077, 1366, 2203, 1409, 3076, 3846, 1873, 243, 1985, 3621, 4096, 197, 2514, 1049, 96, 603, 1986, 337, 538, 1080, 3744, 2513, 94, 2797, 3613, 3674, 3579, 2063, 3875, 3910, 1956, 3131, 3262, 3883, 1436, 601, 2574, 1517, 786, 1521, 2951, 43, 1900, 854, 3102, 1704, 1737, 1065, 605, 2140, 2537, 3474, 2810, 1060, 3413, 917, 1381, 1664, 1385, 1886, 410, 2015, 394, 1877, 1594, 70, 1097, 930, 3427, 668, 1370, 1434, 2314, 1410, 2388, 2630, 1260, 330, 1414, 859, 1358, 2139, 965, 1887, 2054, 2568, 102, 3975, 2107, 1306, 330, 1064, 3598, 2432, 2072, 1309, 3802, 3426, 2694, 1360, 3693, 221, 3967, 3850, 1345, 3358, 3786, 3338, 2717, 1877, 2501, 89, 2838, 1487, 935, 3862, 3948, 2453, 3909, 3334, 375, 1618, 2459, 2040, 384, 276, 1032, 458, 1338, 1468, 3874, 1114, 2377, 1390, 1275, 1610, 1945, 3803, 3421, 4064, 2635, 404, 1161, 893, 894, 2297, 354, 2542, 30, 1918, 406 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2121, 4037, 2085, 2842, 3148, 683, 1742, 3144, 3018, 1086, 221, 55, 2468, 1343, 266, 3582, 1301, 1157, 2972, 2778, 3927, 386, 284, 2574, 233, 457, 1893, 1370, 3852, 314, 659, 2300, 3078, 1348, 2151, 66, 3190, 3533, 2089, 1489, 1288, 3545, 361, 1387, 3050, 858, 1434, 1544, 3272, 3053, 1034, 1463, 1363, 522, 2944, 1412, 1430, 1429, 1301, 1189, 373, 231, 284, 3850, 3073, 3802, 1303, 2775, 1582, 325, 3304, 2536, 979, 959, 8, 752, 629, 1411, 3974, 1583, 346, 446, 3418, 3642, 3385, 3419, 1242, 1712, 2493, 83, 1650, 1351, 1434, 3932, 1360, 3453, 2229, 6, 3413, 10, 1594, 1882, 2979, 1761, 1511, 25, 1430, 1654, 1063, 1408, 1474, 3482, 1882, 1371, 1378, 2522, 3042, 3526, 2501, 3350, 1813, 1800, 54, 3097, 3656, 2393, 313, 280, 324, 1370, 1362, 1286, 1572, 1068, 3674, 3578, 872, 388, 2648, 219, 419, 353, 1116, 1557, 2392, 2138, 923, 36, 2060, 1533, 1356, 4024, 3272, 968, 253, 3557, 3793, 2291, 3312, 476, 1920, 1916, 2658, 2458, 1930, 2453, 116, 3060, 2289, 785, 5, 465, 245, 181, 3078, 14, 1955, 3775, 3227, 3622, 3459, 2266, 1493, 3013, 1332, 1950, 3048, 1733, 2233, 3560, 4037, 1154, 979, 141, 3213, 1026, 257, 4040, 4099, 1409, 1090, 977, 3868, 2376, 2502, 1355, 1096, 1404, 1437, 3382, 2902, 2396, 3936, 832, 34, 282, 2379, 3981, 1082, 2944, 1643, 2069, 1420, 613, 3676, 1643, 1771, 1627, 3739, 1643, 1641, 1897, 2504, 1511, 2339, 1852, 1692, 99, 136, 1429, 845, 3403, 3699, 1361, 3094, 2885, 2566, 5, 3036, 854, 778, 3122, 3227, 125, 462, 70, 66, 777, 886, 2069, 217, 347, 343, 887, 3740, 2109, 3563, 1370, 1370, 1377, 43, 269, 3497, 3597, 6, 355, 488, 3796, 3079, 1874, 1179, 2496, 928, 1635, 2197, 1715, 2602, 1933, 3829, 2399, 2227, 687, 1562, 3993, 3033, 1320, 1324, 3142, 2838, 1348, 2303, 1486, 1370, 1417, 3855, 3826, 482, 3491, 3984, 2822, 362, 3270, 352, 2397, 1651, 1418, 2430, 1411, 28, 806, 1879, 9, 2752, 232, 1365, 283, 264, 1393, 51, 1049, 1057, 3278, 2029, 3332, 219, 2021, 3032, 858, 1909, 1658, 2106, 3621, 857, 3130, 1447, 1481, 1468, 86, 1059, 1893, 458, 1818, 1834, 1792, 2864, 518, 1862, 1163, 1970, 1398, 1961, 3100, 3253, 2438, 970, 1496, 1621, 1285, 1155, 1786, 986, 3141, 741, 1038, 89, 1292, 2823, 1062, 2426, 2821, 639, 18, 64, 3589, 3419, 21, 3627, 1141, 3510, 3130, 89, 2574, 1490, 1307, 2858, 3399, 857, 133, 1114, 1053, 2133, 154, 1937, 240, 2277, 709, 1038, 1377, 1152, 533, 997, 1377, 2253, 245, 49, 177, 2501, 1531, 3525, 1400, 105, 1434, 1610, 1370, 1370, 1886, 3578, 138, 2614, 1244, 1990, 2074, 3764, 2395, 2314, 2375, 3546, 2394, 1868, 1382, 351, 1116, 2622, 3603, 3538, 2074, 2620, 2190, 3458, 839, 134, 58, 3987, 3136, 4013, 15, 1882, 2778, 1114, 1635, 1373, 3958, 3454, 2394, 1382, 354, 1868, 2202, 1671, 1738, 388, 1850, 1413, 4058, 1572, 986, 1564, 21, 2396, 2236, 614, 1990, 2436, 2309, 2085, 147, 311, 1597, 3313, 3281, 1162, 1913, 1370, 3469, 2965, 5, 858, 3077, 6, 471, 198, 3775, 857, 1372, 3418, 3576, 2526, 2854, 3418, 1850, 2411, 487 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 4005, 268, 3706, 467, 854, 1110, 1113, 1305, 2570, 1638, 1881, 643, 553, 551, 743, 720, 2983, 3250, 1063, 308, 1809, 3315, 3281, 497, 3361, 785, 783, 606, 3451, 1610, 1914, 1386, 1643, 904, 2259, 625, 3002, 4018, 2823, 3342, 3091, 702, 958, 3775, 3589, 1191, 918, 1971, 3725, 798, 3975, 2693, 1891, 2288, 497, 2963, 476, 2575, 3090, 101, 3604, 3276, 3381, 3413, 3129, 227, 310, 83, 89, 1031, 2821, 1656, 2458, 1030, 3082, 89, 2117, 1074, 72, 1933, 3849, 1289, 1594, 387, 2057, 1882, 2276, 809, 56, 504, 891, 1202, 1280, 3784, 93, 3690, 1435, 1746, 3475, 251, 49, 2084, 3832, 44, 4034, 3982, 1087, 2586, 2919, 1367, 3313, 2556, 1602, 1372, 562, 1378, 1965, 410, 3576, 2402, 2085, 603, 784, 230, 1029, 1863, 1178, 372, 4071, 341, 211, 1168, 1145, 2121, 1331, 60, 1942, 3000, 3276, 478, 917, 3930, 1718, 1814, 3601, 1797, 1639, 608, 274, 1401, 777, 1476, 142, 405, 543, 1461, 3411, 908, 1520, 46, 2429, 538, 2822, 3317, 165, 857, 734, 1114, 1789, 2278, 1360, 412, 2528, 213, 2768, 126, 4100, 11, 4084, 3363, 208, 90, 2814, 3975, 352, 3146, 1784, 767, 610, 1968, 2951, 440, 369, 1445, 517, 606, 1354, 1414, 1971, 3707, 85, 659, 2548, 6, 2935, 3332, 3958, 1391, 3033, 897, 133, 5, 115, 855, 3425, 499, 1916, 2074, 581, 1798, 1977, 1228, 2572, 2850, 364, 2265, 1564, 1498, 1883, 3426, 2908, 1911, 3901, 342, 2226, 296, 1025, 1100, 1193, 2121, 1609, 1192, 2855, 2719, 2751, 779, 646, 225, 1353, 3868, 1306, 1906, 1826, 2958, 1470, 3818, 1113, 1515, 3851, 1451, 1131, 2599, 517, 2053, 2742, 751, 3168, 2742, 1528, 1978, 90, 349, 2288, 3765, 1375, 3114, 1421, 3189, 1121, 374, 3052, 3708, 3854, 508, 523, 3434, 2238, 1050, 3654, 3803, 3242, 1839, 460, 1957, 2850, 3110, 1411, 1125, 2057, 3866, 144, 381, 1349, 1866, 4022, 1285, 904, 121, 277, 774, 1223, 262, 262, 21, 3338, 345, 779, 1410, 2435, 658, 108, 469, 37, 965, 1151, 2139, 2800, 782, 3594, 341, 2073, 2037, 2620, 134, 4022, 857, 1146, 3429, 3735, 1477, 2010, 2988, 674, 3247, 3083, 2857, 1662, 673, 1397, 3731, 2285, 3205, 1809, 2929, 1362, 1396, 514, 3950, 2827, 107, 2281, 1652, 2075, 1887, 92, 1263, 3868, 864, 1370, 1370, 1370, 1370, 3445, 2220, 2138, 1532, 3558, 2869, 1274, 2437, 1844, 1072, 2287, 3275, 337, 34, 1289, 617, 1085, 337, 1205, 3307, 2752, 2079, 3629, 1388, 578, 1403, 2959, 3125, 2565, 2438, 1670, 2490, 2435, 2245, 2376, 2561, 394, 877, 2293, 2856, 2588, 963, 2054, 3189, 1314, 1381, 437, 2445, 231, 34, 3065, 2249, 2066, 3606, 2328, 295, 1987, 599, 293, 292, 648, 4020, 995, 1074, 3020, 2694, 85, 1481, 1352, 2144, 2150, 3291, 345, 2609, 2423, 3985, 101, 803, 628, 2689, 3079, 37, 26, 505, 1315, 2453, 2433, 1590, 1819, 1480, 3194, 4015, 161, 493, 1034, 281, 1078, 11, 1306, 601, 1053, 2426, 1318, 1032, 858, 257, 1754, 3369, 1376, 1057, 2203, 1954, 1374, 978, 1305, 2137, 942, 3036, 2597, 514, 1057, 3358, 383, 503, 501, 2177, 175, 1550, 1380, 896, 2703, 3119, 1442, 1110, 1103, 325, 2031, 618, 1439, 21 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2712, 685, 3893, 2565, 530, 2849, 3741, 1770, 2014, 1381, 61, 3485, 1287, 2152, 3206, 36, 561, 74, 1421, 3447, 2389, 2046, 2095, 1807, 2567, 2720, 2071, 3078, 1712, 2098, 1605, 2399, 155, 2928, 131, 179, 6, 2759, 150, 3668, 1120, 382, 1974, 1484, 3624, 719, 2378, 1384, 2223, 2579, 2874, 1306, 2330, 1952, 3222, 3868, 1354, 1884, 1487, 1368, 2460, 3826, 3234, 3238, 1502, 3674, 2432, 2240, 1967, 3146, 1870, 1559, 306, 2335, 3845, 1114, 1020, 21, 3775, 2650, 3417, 13, 1393, 2730, 3722, 1474, 1381, 1286, 1957, 25, 1515, 3586, 3556, 837, 1816, 1973, 248, 2307, 2549, 129, 346, 2075, 3220, 4059, 388, 2501, 3892, 1908, 3943, 2146, 3344, 3658, 3791, 861, 1390, 3456, 1109, 3786, 1818, 97, 710, 1424, 1465, 1349, 1007, 3804, 3081, 1537, 2038, 1562, 3316, 2013, 3640, 68, 2041, 1189, 133, 631, 1288, 179, 3889, 3868, 329, 3311, 609, 1914, 2415, 1242, 263, 42, 2554, 1199, 369, 858, 1030, 1835, 893, 705, 334, 1231, 1349, 8, 26, 1656, 2542, 14, 1868, 2582, 1301, 739, 5, 4077, 1901, 261, 1030, 3162, 1832, 1370, 3797, 3, 2, 386, 373, 77, 2145, 42, 1409, 1036, 2054, 2274, 808, 1883, 3370, 544, 1955, 988, 1906, 1530, 3366, 3449, 438, 3444, 472, 1500, 1484, 457, 1105, 3145, 3472, 1421, 2125, 3021, 2819, 705, 180, 1574, 482, 3554, 3634, 3604, 497, 1315, 482, 290, 3811, 756, 1482, 145, 2194, 916, 535, 535, 547, 513, 1526, 1482, 2842, 3432, 458, 3174, 1493, 1741, 1500, 438, 1884, 326, 1531, 3157, 1462, 476, 374, 1738, 2844, 3867, 2139, 794, 1820, 349, 1398, 1378, 1574, 1405, 1094, 116, 1478, 1482, 3933, 3538, 1814, 262, 348, 346, 1370, 2121, 2058, 2934, 1532, 3612, 3530, 3577, 3586, 2276, 194, 3869, 3574, 2276, 1170, 3940, 2020, 348, 3531, 3281, 3209, 1105, 3426, 1933, 1418, 3610, 3914, 1862, 1161, 3202, 378, 3402, 3938, 354, 1378, 1890, 1890, 866, 1506, 1810, 1110, 1884, 186, 3169, 369, 1381, 1418, 2742, 3583, 99, 65, 2121, 3122, 4026, 2953, 1093, 1318, 1097, 1100, 266, 3367, 2274, 310, 3576, 355, 3538, 1097, 1141, 333, 2138, 1489, 1916, 2948, 1370, 1526, 1890, 2134, 1916, 3145, 1241, 1097, 1564, 2936, 1817, 1302, 345, 1862, 1370, 1370, 1305, 1405, 1419, 3085, 1114, 1994, 3168, 3172, 3419, 2762, 1477, 2598, 1530, 1410, 370, 533, 262, 501, 245, 389, 54, 289, 1305, 350, 3338, 1910, 3420, 1394, 1890, 1482, 1817, 1185, 1506, 3419, 3147, 266, 10, 141, 982, 994, 1478, 3333, 3861, 1481, 22, 3397, 60, 3961, 162, 635, 2431, 418, 3608, 1957, 428, 634, 3820, 3141, 23, 3225, 489, 130, 67, 2789, 18, 3353, 3145, 2010, 2066, 2789, 116, 711, 1342, 3167, 2722, 1032, 2059, 3445, 378, 1416, 936, 421, 233, 462, 2421, 803, 1068, 232, 3610, 1413, 1625, 1708, 363, 1804, 1393, 261, 1097, 1114, 1370, 1925, 525, 1468, 1932, 831, 1074, 2009, 2822, 1097, 3225, 201, 2224, 791, 291, 535, 3613, 4053, 1565, 1100, 1225, 2378, 1334, 283, 1434, 2374, 1852, 1440, 3348, 1918, 1915, 58, 2108, 1486, 1867, 1533, 21, 1811, 1225, 2140, 1305, 3932, 3609, 2146, 1436, 1635, 16, 3624, 32, 141, 521, 290, 491 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1850, 3556, 1829, 526, 3142, 1199, 3099, 2157, 227, 423, 78, 3749, 194, 3157, 437, 1146, 2612, 3498, 3125, 3433, 2099, 3185, 360, 332, 1110, 1149, 213, 2253, 3338, 85, 517, 869, 66, 917, 2399, 2133, 777, 1417, 657, 398, 2218, 143, 3103, 118, 2408, 2226, 1431, 581, 2143, 3957, 1702, 3398, 3370, 2289, 2395, 3366, 3487, 1482, 3529, 2532, 795, 822, 267, 791, 329, 1225, 1737, 3638, 1937, 1233, 1337, 1165, 3565, 227, 1350, 3752, 234, 667, 395, 902, 1017, 1478, 715, 139, 268, 215, 1541, 4026, 3215, 522, 2983, 601, 1180, 185, 1457, 1372, 3977, 1266, 1745, 3954, 3694, 313, 32, 488, 3163, 1234, 3128, 34, 86, 3638, 3098, 3020, 2714, 3132, 747, 3582, 35, 381, 2071, 348, 1189, 186, 152, 379, 1293, 1621, 473, 3853, 2133, 1397, 1192, 1531, 343, 36, 3163, 94, 279, 550, 1053, 1549, 1738, 1319, 2199, 348, 1309, 349, 518, 2139, 29, 37, 613, 9, 1109, 1273, 1100, 2058, 3420, 229, 69, 219, 1199, 2386, 1044, 2825, 2141, 1619, 547, 2570, 1798, 1315, 1367, 1393, 3420, 1619, 972, 1900, 1116, 3203, 517, 8, 3869, 2698, 32, 2796, 2250, 1589, 133, 218, 1065, 265, 2186, 1623, 3154, 1694, 131, 3874, 1809, 486, 599, 114, 2402, 1777, 1408, 353, 1997, 755, 3425, 62, 1533, 631, 1360, 293, 394, 22, 1704, 582, 3829, 1113, 974, 1138, 1505, 118, 286, 2330, 1730, 34, 1577, 1353, 1541, 5, 3975, 1056, 1002, 2323, 3106, 533, 282, 290, 278, 3166, 4087, 1080, 2312, 1754, 1859, 2605, 23, 769, 286, 515, 3870, 307, 22, 278, 1799, 278, 3382, 290, 76, 3089, 226, 1370, 1388, 2040, 3545, 1540, 139, 2183, 3140, 2821, 904, 3591, 352, 845, 1208, 1869, 1145, 2051, 1230, 986, 1210, 2433, 1409, 2186, 2850, 722, 356, 2450, 3368, 1913, 2170, 3548, 3282, 1756, 598, 274, 282, 1477, 216, 1242, 3922, 850, 1237, 1277, 3340, 1737, 3674, 722, 1249, 121, 2941, 101, 1546, 2261, 1049, 601, 604, 1292, 3418, 2010, 1370, 2010, 1380, 1367, 279, 3224, 2263, 333, 2189, 551, 534, 1301, 3640, 824, 808, 776, 3384, 356, 615, 290, 982, 1220, 1734, 4066, 3997, 2678, 1378, 2074, 2982, 2425, 616, 2419, 2430, 2421, 725, 1045, 1556, 2609, 290, 1841, 785, 757, 293, 1030, 549, 1093, 292, 538, 2847, 3846, 1409, 1527, 2710, 2406, 228, 2285, 1490, 3453, 815, 1110, 1750, 370, 283, 3642, 2144, 1056, 800, 390, 1472, 438, 3573, 1930, 1906, 1394, 564, 482, 3556, 503, 360, 3560, 1497, 1506, 1921, 1526, 1889, 776, 835, 17, 1128, 1342, 344, 1629, 352, 355, 1567, 3217, 1229, 3153, 3291, 3153, 3062, 566, 538, 1169, 1161, 1320, 1304, 292, 278, 964, 2049, 73, 2070, 1739, 1313, 3657, 525, 525, 100, 2382, 3583, 430, 2996, 1653, 3057, 580, 1549, 1768, 3045, 2146, 2898, 3092, 2744, 3679, 303, 3390, 2682, 1533, 3642, 2926, 2674, 609, 848, 943, 1410, 1977, 1349, 4058, 1370, 3418, 3034, 1738, 2084, 4058, 1570, 1316, 1922, 1339, 854, 3574, 1302, 1237, 1398, 1847, 1562, 2245, 301, 21, 3932, 2186, 39, 1082, 2067, 13, 37, 133, 9, 3596, 41, 218, 3976, 2153, 52, 177, 541, 388, 114, 1114, 3369, 3930, 1370, 3930 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2009, 1882, 3390, 1397, 409, 504, 2002, 3957, 458, 1292, 1798, 2834, 2361, 145, 717, 3410, 1385, 1221, 2185, 2564, 1970, 6, 2904, 2842, 3845, 1595, 1919, 3601, 1117, 794, 1271, 346, 1369, 1870, 646, 474, 2294, 1372, 559, 2422, 1400, 1932, 23, 3972, 2658, 1372, 1370, 1500, 36, 2118, 3928, 1596, 1509, 3134, 3707, 542, 535, 1930, 3242, 3377, 3587, 348, 612, 128, 249, 2079, 29, 555, 3152, 3489, 321, 1010, 518, 53, 491, 3078, 2199, 293, 1097, 1097, 1029, 17, 774, 1616, 2698, 690, 3852, 3189, 1991, 5, 2433, 3708, 3173, 216, 927, 2390, 1188, 3991, 3578, 2130, 1120, 2009, 1468, 3444, 2746, 3522, 1788, 482, 133, 3646, 3819, 33, 514, 4059, 1552, 1290, 1032, 30, 920, 589, 2217, 3414, 1285, 889, 35, 2097, 34, 601, 3707, 1879, 3310, 3624, 3689, 1390, 58, 3115, 3120, 349, 90, 4059, 346, 1181, 3406, 2053, 5, 5, 1237, 2117, 2397, 1772, 3840, 1108, 2936, 1861, 1944, 2051, 3460, 471, 3543, 290, 356, 1370, 213, 90, 1112, 1377, 1410, 1893, 1348, 1487, 570, 381, 1205, 4005, 574, 13, 113, 1181, 510, 1398, 882, 1808, 1707, 3939, 189, 843, 3946, 1882, 1578, 2439, 955, 3298, 197, 1216, 3545, 1094, 73, 295, 268, 299, 1353, 2189, 1066, 4037, 3315, 1753, 1618, 1993, 1246, 589, 22, 3927, 3167, 1206, 910, 298, 1369, 1366, 1110, 1114, 1370, 1377, 54, 2824, 598, 641, 535, 21, 2034, 3363, 502, 3203, 1225, 1537, 1165, 2894, 612, 2433, 3077, 2404, 853, 245, 3732, 668, 3206, 161, 96, 178, 3882, 2924, 3306, 1382, 283, 3180, 855, 2635, 1240, 1618, 2309, 3039, 3511, 1942, 1152, 2942, 1109, 3083, 1444, 1237, 1153, 2458, 3914, 2001, 303, 99, 213, 33, 138, 1033, 1481, 1049, 2008, 1213, 917, 754, 795, 1534, 863, 386, 386, 3407, 2878, 1530, 1909, 3207, 279, 38, 556, 308, 2375, 1817, 73, 2070, 261, 1049, 1221, 340, 2887, 1529, 982, 349, 3971, 152, 44, 1274, 1930, 1609, 1576, 476, 369, 742, 1387, 1610, 1558, 3614, 1366, 2269, 2394, 3168, 3458, 1386, 2395, 1370, 3742, 1626, 2074, 1498, 506, 858, 2010, 1498, 1370, 1434, 1434, 1354, 3548, 1372, 3762, 1291, 3809, 2521, 337, 2107, 997, 3077, 2179, 3269, 2325, 126, 618, 539, 1877, 402, 3630, 1372, 3421, 1797, 2057, 1813, 1223, 49, 246, 69, 126, 2298, 181, 523, 3365, 2189, 1157, 577, 502, 2549, 278, 1097, 3359, 1052, 2462, 340, 654, 1541, 1353, 2125, 2948, 2141, 1241, 1101, 2309, 4041, 3158, 2317, 255, 3599, 1882, 2462, 3616, 1410, 269, 3182, 867, 19, 2589, 85, 1299, 1630, 3298, 1038, 2184, 3138, 3094, 1497, 3621, 1905, 74, 574, 38, 2082, 372, 858, 3282, 3452, 1277, 231, 1686, 3084, 2156, 3672, 28, 1113, 3355, 430, 1695, 2151, 2309, 2597, 3131, 1666, 1382, 502, 1333, 2268, 1926, 1419, 1142, 1294, 476, 1873, 21, 728, 2605, 1376, 254, 3754, 1298, 997, 2117, 833, 1048, 2363, 2317, 2121, 3653, 2185, 1862, 118, 3616, 3953, 1377, 205, 1350, 1497, 87, 1574, 1259, 1175, 70, 2018, 1345, 38, 1042, 1163, 347, 1159, 408, 1298, 2381, 150, 1933, 3767, 2265, 18, 1105, 58, 280, 421, 3986, 1478, 4065, 2024, 1020, 3369, 1374, 1805 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1129, 1164, 1212, 1080, 2705, 9, 1793, 121, 2896, 900, 2006, 3546, 1499, 1392, 105, 1086, 726, 3424, 790, 1381, 1566, 866, 262, 3886, 1229, 197, 2189, 217, 3601, 3277, 3153, 201, 3465, 3283, 3546, 1498, 3577, 3078, 1013, 920, 958, 524, 1075, 3222, 714, 3396, 3157, 507, 3276, 3334, 1253, 48, 12, 3275, 592, 3585, 2084, 284, 218, 3979, 1791, 4058, 2636, 3589, 1349, 5, 15, 70, 1805, 1046, 2855, 138, 1801, 101, 2069, 3159, 3125, 2388, 1088, 181, 2266, 3909, 2401, 373, 1093, 1879, 1324, 3627, 1985, 844, 1358, 1467, 2893, 261, 26, 1674, 3109, 1495, 1670, 145, 22, 28, 37, 1145, 2230, 1222, 3399, 138, 1381, 1850, 2231, 3595, 3111, 3994, 2074, 3031, 746, 130, 2405, 2048, 1239, 741, 1200, 241, 1350, 881, 1034, 1503, 958, 3663, 3686, 437, 693, 583, 915, 3606, 183, 2195, 422, 74, 2613, 1438, 1033, 3711, 1020, 2294, 143, 2107, 1158, 1384, 2086, 1430, 2933, 1215, 3909, 1929, 437, 266, 2070, 2426, 1774, 2874, 2448, 196, 411, 4003, 1059, 1121, 1830, 1846, 3207, 2118, 3125, 389, 292, 2058, 167, 2572, 4031, 3808, 1150, 3349, 3513, 2902, 2902, 2902, 1562, 1802, 1137, 358, 2150, 3864, 3418, 28, 3424, 357, 1097, 1093, 1097, 1353, 1234, 1530, 1053, 1862, 2074, 3869, 2016, 1114, 1930, 3062, 1979, 27, 3971, 858, 1881, 1302, 858, 3186, 1377, 1469, 370, 1410, 3842, 773, 1381, 794, 1499, 986, 2070, 2070, 1718, 1862, 1395, 346, 1412, 1366, 1818, 3418, 1372, 2050, 178, 1562, 1369, 3098, 3446, 3930, 2138, 1501, 1755, 2075, 3612, 92, 1364, 1409, 1362, 1308, 1402, 1802, 1489, 1850, 2914, 1301, 1802, 3450, 232, 1402, 3450, 2011, 3132, 1740, 346, 1061, 98, 1938, 1376, 801, 1378, 3970, 3937, 2012, 460, 713, 377, 3521, 1122, 3937, 278, 1317, 550, 3462, 1561, 354, 1498, 3426, 3557, 2120, 377, 421, 148, 5, 3909, 197, 825, 1123, 402, 97, 1298, 1870, 762, 313, 3414, 3, 2, 2657, 189, 14, 37, 93, 10, 33, 968, 142, 646, 948, 1016, 297, 1373, 3284, 9, 3125, 274, 1067, 2614, 1577, 909, 2264, 2332, 528, 4053, 2141, 2085, 529, 3985, 23, 262, 2053, 1285, 53, 2359, 3081, 3338, 9, 1045, 1126, 1169, 1319, 457, 3646, 2092, 2406, 3432, 2170, 55, 79, 2729, 3640, 395, 2433, 3133, 971, 325, 538, 94, 3581, 2185, 312, 2311, 3164, 519, 171, 133, 1333, 1555, 3333, 153, 2871, 3126, 1543, 3165, 271, 2777, 2065, 9, 101, 3720, 3077, 295, 1689, 688, 177, 1013, 209, 3929, 3383, 3865, 3910, 3530, 8, 3343, 4039, 503, 3640, 3197, 1677, 375, 648, 1351, 2057, 1400, 181, 207, 263, 6, 2404, 2088, 317, 135, 118, 267, 262, 1351, 138, 1605, 2202, 1096, 3112, 3080, 373, 3094, 326, 154, 198, 3978, 1608, 3161, 3385, 3127, 17, 337, 665, 2257, 3090, 3666, 3749, 1169, 513, 26, 1629, 659, 2497, 401, 241, 1425, 3905, 3847, 2587, 1541, 1319, 1801, 297, 2461, 126, 1240, 556, 3418, 2361, 533, 1799, 2054, 1433, 351, 2077, 170, 2504, 1032, 1677, 2333, 317, 1301, 2145, 645, 3802, 2147, 869, 3591, 3451, 2585, 133, 2142, 287, 558, 1384, 6, 270, 1186, 1277, 3086, 328, 165, 2573, 2437, 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 ]
[ 357, 2181, 2269, 2325, 765, 550, 1286, 1922, 719, 543, 40, 274, 1553, 2351, 462, 3501, 810, 2310, 2516, 15, 2457, 1327, 2125, 1224, 31, 1432, 1062, 2633, 2128, 2648, 464, 853, 3270, 2122, 2122, 781, 1605, 1169, 776, 3902, 603, 2610, 1406, 1801, 2785, 1117, 3365, 788, 2827, 1399, 1381, 215, 3157, 539, 1117, 1157, 561, 815, 1113, 1029, 649, 1033, 2733, 954, 1821, 787, 2085, 3590, 2097, 118, 784, 6, 88, 3083, 1035, 2729, 1499, 1718, 1526, 1871, 53, 225, 1947, 2005, 1669, 352, 338, 2129, 2336, 1262, 2081, 71, 2145, 2853, 367, 1119, 838, 3889, 74, 805, 3684, 746, 1545, 2419, 166, 1822, 981, 986, 2589, 93, 129, 2621, 390, 677, 147, 351, 133, 537, 2825, 1184, 1151, 1380, 1653, 35, 659, 138, 1552, 2534, 3109, 1118, 3089, 2310, 1301, 796, 1362, 1306, 801, 1110, 2137, 1447, 1418, 3889, 38, 123, 629, 66, 353, 1086, 715, 917, 1349, 385, 609, 1036, 1810, 1653, 17, 145, 6, 1440, 3469, 1305, 2856, 761, 1031, 2063, 2061, 21, 485, 1305, 347, 2331, 2309, 2597, 245, 1030, 2399, 1527, 1664, 2142, 697, 861, 1449, 348, 2053, 1253, 105, 1838, 1286, 1041, 248, 789, 1037, 2056, 268, 333, 1896, 2656, 541, 1586, 2763, 2079, 22, 685, 608, 17, 90, 2977, 2088, 741, 3337, 1261, 1276, 2518, 1134, 207, 263, 2668, 2339, 232, 154, 49, 689, 341, 2331, 3974, 773, 782, 339, 1106, 515, 133, 278, 2298, 1785, 3090, 1741, 1109, 4043, 291, 2188, 1155, 1081, 533, 203, 2569, 1798, 1169, 3201, 789, 153, 710, 1738, 265, 1350, 407, 2809, 197, 396, 1260, 1240, 861, 93, 776, 2414, 913, 803, 2705, 1438, 1738, 2826, 2842, 2482, 1114, 2010, 1510, 1178, 1325, 2971, 1109, 74, 1486, 1514, 3397, 353, 2848, 188, 2629, 3526, 1885, 341, 1030, 3748, 56, 327, 1377, 855, 2074, 263, 1190, 270, 658, 2037, 105, 1429, 88, 1221, 1882, 2518, 2681, 816, 1613, 474, 1035, 1748, 3080, 1021, 3996, 169, 828, 3580, 4031, 2096, 36, 240, 1926, 420, 26, 1285, 2058, 1812, 2613, 92, 3410, 1253, 2085, 3717, 1366, 3420, 1601, 2081, 1717, 533, 821, 2082, 743, 2558, 2646, 1068, 2005, 886, 1815, 3759, 1592, 1697, 1397, 2726, 1805, 1405, 4009, 2373, 3125, 3971, 8, 4014, 3085, 2853, 2282, 457, 3509, 1106, 2833, 3537, 54, 2750, 1801, 1838, 518, 598, 2586, 2165, 20, 2453, 2425, 3717, 3718, 4097, 2126, 536, 1031, 1349, 90, 2117, 298, 1029, 1364, 71, 1462, 1308, 1378, 3080, 891, 1485, 3485, 60, 1861, 2433, 354, 1881, 1373, 1353, 1098, 346, 329, 342, 92, 1370, 342, 213, 69, 1122, 1290, 282, 2117, 523, 5, 1033, 72, 2053, 1395, 892, 1037, 3422, 1829, 633, 1865, 803, 3558, 1938, 1559, 2259, 2886, 1296, 534, 2062, 1018, 3162, 139, 2330, 1412, 927, 1374, 1208, 777, 50, 1301, 2390, 1642, 42, 2974, 1086, 301, 407, 2326, 51, 38, 1439, 466, 1243, 846, 3287, 3659, 99, 1107, 2686, 239, 605, 608, 223, 330, 2094, 890, 109, 62, 2314, 2414, 1500, 3097, 5, 1754, 70, 982, 294, 283, 1483, 1001, 2643, 827, 3177, 908, 2939, 1895, 3751, 3474, 21, 1628, 1661, 381, 1700, 16, 1074, 3589 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1535, 407, 1481, 85, 1546, 3290, 2474, 1433, 474, 1605, 26, 761, 1917, 26, 1453, 801, 281, 590, 1621, 1221, 654, 1017, 2507, 3902, 3599, 527, 411, 3081, 28, 3800, 3153, 3022, 74, 1554, 3137, 23, 2622, 1482, 2053, 585, 3102, 2179, 1255, 2015, 531, 584, 1039, 2590, 1010, 1434, 3706, 1878, 82, 725, 90, 1909, 3413, 345, 1377, 3769, 665, 1469, 773, 2313, 586, 3142, 537, 19, 407, 3675, 806, 2451, 133, 2041, 343, 1445, 1513, 1580, 3456, 73, 2555, 287, 1393, 956, 2404, 2465, 933, 3118, 3870, 86, 690, 1760, 1285, 859, 1064, 3125, 1347, 3417, 166, 292, 1097, 1118, 2013, 3357, 319, 3296, 164, 2594, 2591, 3485, 1423, 456, 3665, 988, 25, 953, 2250, 2504, 536, 2605, 2184, 1402, 1349, 122, 3728, 2566, 2445, 1673, 947, 2565, 2349, 1967, 2074, 1933, 2394, 367, 3662, 2946, 81, 1418, 3080, 1145, 579, 852, 242, 1445, 2582, 5, 1097, 1436, 1428, 393, 945, 3510, 2399, 434, 482, 2104, 3128, 2168, 836, 3898, 3683, 3276, 2628, 896, 3260, 1952, 2546, 3121, 1812, 2252, 1102, 3127, 277, 2332, 1063, 326, 17, 53, 1037, 1809, 1551, 1830, 1425, 900, 293, 358, 1429, 3573, 124, 85, 773, 2874, 24, 1040, 385, 1336, 727, 133, 765, 3014, 901, 762, 3365, 3301, 824, 372, 7, 3981, 280, 2064, 1734, 5, 5, 1013, 212, 82, 49, 1526, 1233, 2893, 517, 3047, 3849, 3589, 2268, 1160, 901, 3281, 165, 3857, 1741, 195, 3317, 1253, 253, 198, 2949, 3036, 437, 965, 229, 3085, 761, 517, 3047, 3849, 3589, 2268, 1160, 901, 3281, 165, 3857, 1782, 2853, 768, 966, 901, 997, 779, 3591, 3937, 1733, 3845, 904, 37, 2837, 3029, 5, 69, 8, 3913, 2381, 237, 2068, 3368, 3352, 245, 81, 211, 3257, 3265, 2515, 3207, 516, 832, 104, 195, 181, 128, 1861, 3400, 3866, 54, 2049, 1409, 2942, 2424, 3997, 1822, 2578, 2068, 37, 195, 54, 2081, 3446, 3253, 641, 225, 1798, 1847, 817, 2353, 1094, 3853, 51, 215, 214, 3603, 2566, 2097, 597, 3894, 3971, 42, 3463, 3202, 2567, 3980, 2429, 3597, 221, 909, 967, 1921, 529, 183, 746, 733, 3262, 3876, 440, 551, 547, 3717, 3062, 3599, 3845, 1918, 2443, 3725, 3665, 925, 989, 986, 1160, 2149, 774, 3156, 94, 3777, 1377, 1670, 2116, 406, 2187, 3901, 358, 2949, 3921, 3598, 520, 2889, 2172, 3208, 1843, 1918, 3427, 893, 3605, 3200, 2002, 901, 140, 3713, 1933, 3650, 288, 396, 3869, 357, 451, 371, 1633, 1375, 474, 888, 1219, 2850, 3624, 778, 3200, 1765, 3792, 2072, 2875, 326, 1801, 2393, 1974, 3923, 1124, 768, 1976, 1905, 1807, 390, 27, 3350, 2149, 3070, 1051, 17, 615, 3083, 330, 950, 3094, 743, 1755, 830, 3653, 3514, 3845, 1400, 347, 529, 3149, 1549, 521, 2099, 3463, 3173, 1797, 3593, 2097, 1953, 2021, 3189, 914, 1036, 1301, 1509, 1050, 3069, 2403, 901, 487, 895, 576, 65, 204, 1445, 491, 1078, 2045, 1057, 65, 1509, 3957, 139, 3463, 3971, 1554, 3105, 3517, 1573, 3897, 1727, 70, 3079, 862, 2148, 1005, 570, 1811, 358, 2855, 4072, 1813, 2222, 117, 787, 914, 3729, 2003, 80, 3647, 3282, 2064, 1653, 1002, 2004, 418, 3953, 437, 3900, 2142, 1425 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3427, 292, 2062, 3279, 616, 3577, 2603, 996, 1189, 712, 1687, 2124, 479, 1764, 3640, 285, 1663, 715, 965, 1956, 1520, 202, 2294, 2098, 1832, 2292, 916, 1794, 1292, 1293, 3021, 1487, 2767, 660, 148, 1856, 406, 1041, 3657, 210, 3420, 2760, 354, 2057, 1533, 3965, 49, 2833, 1993, 1236, 1133, 2353, 237, 1636, 4035, 3147, 227, 2908, 2693, 4049, 1825, 2353, 1048, 3534, 1185, 848, 3861, 1477, 3901, 869, 2956, 2278, 2277, 1124, 1957, 504, 193, 3990, 3812, 587, 4075, 1040, 2269, 2329, 787, 3147, 2851, 2844, 1236, 902, 2021, 918, 2805, 470, 605, 2867, 1993, 1830, 2810, 335, 987, 2822, 1996, 2538, 263, 3242, 280, 1061, 991, 1549, 715, 3913, 2020, 203, 1960, 653, 2521, 2451, 3262, 377, 737, 1893, 3791, 289, 4005, 1916, 2645, 1445, 676, 280, 467, 2838, 454, 272, 720, 2293, 1896, 3284, 2806, 3464, 968, 908, 824, 4088, 1514, 3793, 1960, 3900, 3021, 1918, 2979, 3527, 3189, 3985, 1865, 2504, 534, 150, 1863, 537, 261, 3080, 69, 2165, 3173, 2679, 290, 471, 3506, 455, 3510, 413, 3113, 520, 2357, 4001, 3157, 1559, 795, 1233, 2129, 2707, 3601, 1305, 678, 3455, 751, 621, 734, 7, 2989, 44, 2611, 2087, 1370, 2097, 1369, 90, 1387, 345, 1455, 75, 1393, 1103, 773, 118, 3594, 1766, 1574, 1703, 1260, 967, 4054, 2505, 3524, 3115, 3222, 778, 2462, 1882, 27, 365, 2403, 3818, 2661, 1666, 2400, 1633, 257, 1710, 1032, 3690, 301, 1838, 1409, 569, 747, 3514, 915, 2281, 2166, 2986, 1530, 688, 1488, 2035, 1979, 1014, 3814, 2001, 1256, 2263, 1032, 484, 2397, 3621, 1900, 2373, 4096, 761, 1741, 1634, 3452, 1114, 1289, 412, 356, 327, 2985, 3483, 2335, 282, 3002, 1246, 545, 740, 790, 1285, 1574, 3874, 1333, 5, 218, 5, 1737, 3152, 2415, 1812, 1186, 2073, 1036, 75, 1395, 3848, 2058, 145, 3340, 3864, 715, 1945, 3161, 149, 1354, 1046, 1417, 1097, 1106, 3257, 1412, 2015, 45, 3726, 1674, 349, 197, 1593, 487, 1618, 90, 2581, 2891, 2622, 3816, 2144, 1355, 1411, 957, 3770, 2425, 139, 2312, 2679, 2323, 794, 3235, 2666, 1552, 2350, 106, 199, 2577, 3796, 2463, 2822, 518, 378, 2057, 2516, 2411, 2438, 2570, 1930, 1818, 1339, 1299, 1846, 2568, 69, 3516, 41, 1387, 2309, 586, 1366, 1436, 3804, 1689, 3463, 1844, 3210, 864, 614, 21, 135, 90, 643, 3643, 3924, 293, 214, 2757, 17, 667, 3300, 9, 853, 345, 1247, 894, 2823, 415, 2054, 27, 3525, 618, 2090, 3865, 1051, 2075, 3926, 2569, 274, 3858, 3081, 2823, 6, 328, 1669, 3975, 1082, 1285, 2573, 1093, 69, 25, 37, 1105, 345, 265, 2087, 6, 1317, 133, 7, 37, 3525, 2357, 921, 9, 265, 540, 112, 37, 133, 9, 39, 18, 1029, 1367, 69, 123, 527, 86, 3, 2, 1141, 1857, 3717, 809, 2821, 3237, 1026, 3244, 1839, 2569, 2077, 2766, 949, 2477, 605, 2789, 51, 1765, 390, 1585, 50, 3304, 1426, 1929, 941, 1028, 15, 517, 3904, 3652, 1665, 35, 3016, 2113, 827, 57, 1388, 3098, 229, 2557, 1468, 3760, 34, 2280, 1784, 3718, 3810, 2327, 2170, 804, 21, 294, 845, 1037, 3393, 1949, 2577, 352, 41, 1077, 806, 1761, 965, 2063, 1109, 1050, 1311 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1333, 1033, 857, 2407, 2054, 3865, 501, 1029, 1885, 1129, 1401, 1370, 1077, 4037, 1032, 4098, 858, 961, 2421, 3411, 978, 3128, 3090, 1042, 3090, 3643, 146, 1341, 537, 1469, 3605, 3476, 331, 597, 756, 703, 2740, 3371, 4065, 224, 2021, 42, 3025, 897, 35, 1029, 1992, 216, 132, 12, 2190, 28, 1479, 3784, 1512, 3269, 2029, 2976, 3611, 2405, 1915, 3089, 2097, 2045, 509, 2293, 2113, 2816, 81, 775, 2051, 2647, 944, 528, 890, 2113, 2994, 1400, 2627, 2391, 2243, 1710, 1375, 3723, 3254, 3515, 931, 17, 3045, 2090, 3050, 2407, 1418, 1044, 2602, 3462, 3201, 501, 56, 3411, 1455, 512, 22, 4008, 47, 2607, 3158, 3710, 1915, 165, 2522, 1691, 946, 1406, 1379, 2033, 1310, 1390, 681, 1403, 3814, 1150, 2645, 3924, 3670, 1418, 1112, 2832, 2504, 329, 3362, 2053, 3029, 533, 3077, 3930, 1481, 95, 1098, 1045, 21, 13, 1365, 125, 1496, 2317, 853, 3341, 4037, 3172, 2328, 1308, 810, 1789, 3461, 1290, 10, 1034, 9, 90, 3370, 345, 585, 1049, 3226, 1304, 2779, 292, 3452, 2021, 1562, 3429, 2133, 1255, 67, 141, 1505, 3509, 621, 580, 3590, 3598, 2532, 2580, 1957, 2183, 2951, 3080, 1373, 3239, 1700, 2501, 3571, 2559, 563, 2469, 3071, 2476, 583, 1065, 519, 951, 3621, 2579, 2599, 522, 3100, 226, 1379, 597, 218, 42, 1055, 1414, 74, 1469, 828, 2066, 975, 2220, 3469, 2607, 2352, 365, 1794, 1712, 2668, 3062, 1414, 1197, 578, 4085, 84, 93, 2339, 925, 1536, 78, 1782, 248, 1393, 355, 316, 3081, 3804, 1379, 2565, 302, 3674, 1790, 1070, 455, 1416, 1938, 2651, 3989, 3764, 1291, 3156, 10, 1062, 2858, 1030, 2291, 2477, 3775, 2918, 1473, 1524, 1509, 1935, 266, 917, 1482, 1546, 1930, 1764, 2400, 4045, 736, 899, 1372, 2249, 1541, 1986, 2289, 964, 1086, 1297, 718, 1378, 4060, 3650, 1757, 485, 1301, 532, 3270, 3659, 327, 2777, 2390, 78, 1050, 2369, 2374, 1432, 3163, 1061, 1473, 1104, 1296, 90, 1029, 2868, 1101, 58, 557, 134, 1474, 3343, 3116, 1660, 1897, 3407, 2026, 2602, 1462, 1385, 1972, 1675, 915, 1402, 1757, 1228, 3596, 3134, 3649, 1464, 3542, 2684, 938, 2080, 773, 1574, 2064, 2659, 1404, 3662, 3415, 3940, 3607, 855, 919, 2503, 1406, 1594, 1342, 2925, 19, 1006, 3693, 3822, 1465, 1692, 2115, 1475, 1469, 935, 1938, 1921, 3989, 1541, 965, 128, 11, 3482, 3467, 290, 2317, 2491, 1579, 3459, 2799, 2562, 1311, 422, 2749, 398, 2411, 1582, 2015, 1475, 26, 3608, 3804, 348, 3390, 846, 637, 3565, 847, 247, 2057, 2580, 716, 4029, 250, 1506, 1411, 3554, 3554, 3636, 1946, 3258, 3768, 2149, 1544, 3159, 288, 2106, 3092, 2458, 189, 2117, 60, 620, 2549, 3317, 2473, 1700, 2239, 353, 469, 849, 2473, 3839, 1393, 1675, 1597, 678, 1680, 2581, 75, 3077, 1356, 1373, 1613, 1850, 1043, 1638, 3468, 1371, 3554, 2189, 1397, 1064, 681, 1547, 437, 9, 2264, 2072, 1047, 2085, 39, 2177, 629, 2501, 2913, 3654, 3298, 1830, 477, 3397, 504, 2702, 84, 225, 4037, 693, 60, 568, 3107, 3724, 3643, 2635, 1996, 378, 136, 2766, 3205, 701, 453, 1491, 365, 4086, 1049, 34, 1842, 2352, 5, 3594, 3275, 2517, 264, 3216, 829, 262, 74, 710, 2037 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1547, 1351, 1561, 109, 341, 34, 1350, 1482, 3222, 26, 2149, 2389, 1097, 1589, 1365, 2434, 1301, 2393, 95, 2389, 360, 347, 1884, 2453, 1372, 1581, 1470, 1301, 373, 262, 1285, 929, 76, 138, 3393, 598, 294, 931, 3198, 266, 3210, 806, 264, 1051, 86, 1630, 1530, 665, 3739, 2074, 2021, 91, 1518, 1557, 538, 484, 1314, 1901, 3759, 72, 2221, 615, 701, 3725, 729, 461, 124, 2050, 3526, 3338, 643, 1740, 1506, 844, 157, 1616, 768, 1575, 3642, 4005, 735, 3106, 2639, 1427, 3081, 1872, 3411, 99, 2487, 2256, 2183, 2205, 2189, 2189, 2240, 2189, 2978, 3643, 537, 416, 1049, 325, 2568, 1732, 2120, 2181, 225, 2346, 237, 1378, 2497, 933, 2188, 3763, 189, 2181, 3987, 2453, 2509, 2177, 2109, 2916, 537, 612, 2637, 2701, 2701, 2637, 2749, 2445, 2093, 2189, 2488, 1490, 3220, 3060, 1436, 3420, 3538, 147, 133, 453, 2133, 3539, 3847, 3847, 4035, 2322, 3826, 3798, 3556, 1475, 2885, 3545, 2693, 237, 543, 3703, 2916, 1166, 2015, 1781, 1366, 3738, 1343, 2402, 1704, 146, 3244, 1483, 1491, 8, 520, 3414, 338, 1302, 1625, 4046, 3388, 325, 1030, 25, 1292, 53, 1653, 37, 2629, 1348, 1096, 1046, 1352, 2026, 1413, 776, 1946, 3909, 570, 921, 2134, 1964, 1549, 1308, 1655, 205, 3197, 261, 1126, 1354, 89, 2550, 61, 41, 325, 1418, 3566, 341, 3427, 1370, 1086, 2079, 2085, 616, 2421, 1978, 1394, 3421, 1864, 3135, 193, 3972, 6, 3141, 2246, 3122, 3782, 517, 3244, 3031, 1572, 1719, 504, 3080, 1884, 2821, 509, 258, 34, 1004, 3077, 2540, 144, 3762, 2124, 2060, 2272, 3747, 3878, 1300, 1888, 882, 1906, 3939, 570, 2055, 1078, 2234, 1086, 1037, 6, 806, 282, 1050, 1350, 69, 446, 3414, 321, 277, 2057, 1314, 903, 1032, 2074, 19, 97, 360, 1357, 398, 1497, 2213, 2310, 67, 70, 1381, 2201, 522, 2085, 1353, 1050, 1300, 277, 156, 2919, 410, 1739, 479, 1529, 3643, 2258, 3105, 453, 3256, 2016, 716, 2716, 1517, 262, 3021, 457, 3749, 2166, 515, 3492, 268, 1800, 2138, 69, 282, 1147, 3460, 4056, 1013, 2780, 3098, 1059, 1478, 1046, 1804, 70, 33, 3219, 1489, 3984, 3140, 3611, 1372, 858, 561, 261, 3308, 2066, 85, 3338, 198, 1297, 3386, 2578, 99, 1111, 2074, 506, 3351, 1621, 325, 435, 3700, 857, 282, 1290, 2140, 1232, 2439, 1113, 1830, 346, 1389, 1461, 122, 2430, 1289, 133, 22, 1866, 2121, 126, 2395, 181, 3849, 1165, 1256, 1369, 2219, 1808, 671, 598, 1549, 571, 602, 1402, 368, 2591, 2145, 101, 1512, 1472, 1675, 787, 3335, 348, 2528, 3082, 141, 2399, 3423, 3752, 995, 3985, 3300, 3845, 950, 1543, 3751, 472, 2581, 1354, 2122, 2476, 3179, 635, 2425, 538, 1433, 2681, 64, 3786, 1387, 3423, 2973, 2391, 3315, 1653, 124, 2310, 6, 1057, 2544, 3136, 98, 101, 4095, 16, 177, 80, 1545, 990, 3973, 146, 2293, 1543, 326, 3207, 134, 902, 993, 657, 916, 1674, 557, 2185, 2057, 2181, 1071, 398, 1690, 2982, 2394, 1372, 2442, 1730, 4052, 627, 342, 1372, 1888, 1893, 1546, 1098, 3970, 280, 2614, 342, 42, 1768, 2120, 4072, 1372, 2185, 1545, 9, 2238, 943, 1056, 3414, 294, 21, 1053, 1739, 26, 1581, 2057, 3613, 1397 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 446, 2748, 3189, 3020, 3141, 1925, 1842, 2621, 3905, 629, 3614, 3707, 3211, 2138, 3684, 2586, 3450, 511, 1480, 4088, 1689, 2031, 517, 2570, 3624, 2285, 3988, 2094, 2090, 2605, 703, 869, 3551, 1960, 1834, 2093, 4039, 4090, 109, 675, 2281, 1628, 3723, 1788, 1587, 1391, 2637, 2799, 3183, 2391, 2735, 2717, 3468, 3619, 2919, 1556, 894, 2676, 180, 1698, 1826, 3720, 2588, 1312, 4073, 1317, 94, 776, 2106, 1219, 896, 1527, 28, 2400, 1005, 2603, 406, 724, 1298, 65, 277, 87, 1299, 1565, 1527, 897, 1397, 422, 2252, 1917, 1045, 262, 12, 1870, 346, 2070, 3298, 3719, 7, 1799, 3228, 221, 23, 1350, 1882, 2456, 2670, 2119, 367, 2400, 1366, 413, 590, 1374, 2461, 3675, 853, 1861, 629, 3493, 637, 2074, 1157, 3413, 688, 2585, 3982, 1286, 2766, 1818, 1213, 2192, 2395, 1110, 3608, 2577, 1165, 56, 1387, 581, 774, 2276, 1427, 652, 523, 2963, 1509, 1813, 2140, 2060, 1388, 1354, 1113, 833, 518, 517, 2056, 1882, 3169, 501, 347, 3142, 3960, 5, 3080, 3930, 1430, 275, 3121, 4070, 281, 471, 1577, 1106, 3222, 509, 3669, 3966, 2331, 354, 598, 1869, 1496, 3143, 1297, 325, 794, 76, 2125, 1910, 325, 1036, 1961, 133, 474, 1050, 2406, 1477, 2970, 3419, 157, 1549, 805, 1287, 86, 1559, 1847, 1637, 2055, 3851, 12, 2057, 3180, 1515, 2744, 2559, 751, 605, 1597, 1963, 1927, 3751, 104, 945, 19, 101, 2057, 1541, 608, 2442, 2939, 263, 8, 901, 163, 788, 3600, 3117, 357, 3365, 1005, 3459, 864, 667, 2727, 2989, 2503, 655, 2202, 2574, 2703, 132, 3552, 627, 2303, 454, 345, 3334, 3776, 2115, 1399, 1391, 612, 1583, 3578, 2663, 1113, 2053, 517, 517, 5, 3289, 3620, 3382, 4039, 4059, 1882, 2052, 433, 2074, 749, 1372, 3079, 1375, 1662, 1912, 1426, 1518, 2177, 655, 1370, 1529, 3852, 4100, 4100, 3842, 2053, 1917, 218, 3458, 3515, 3479, 4093, 1397, 1330, 1123, 2357, 3364, 1362, 348, 3036, 8, 1381, 1514, 4064, 1741, 1522, 1369, 1286, 28, 2275, 2226, 2467, 2239, 3982, 1454, 2590, 3427, 2970, 3404, 2053, 1376, 869, 258, 1851, 1247, 1716, 4077, 2574, 2221, 890, 3132, 8, 2813, 1490, 37, 3456, 3930, 1571, 511, 60, 53, 638, 1365, 2564, 20, 3549, 916, 68, 183, 713, 2704, 18, 1561, 326, 3135, 237, 3466, 1786, 2969, 75, 3703, 280, 618, 2400, 490, 91, 3466, 796, 2278, 926, 5, 133, 2330, 1497, 329, 70, 1036, 6, 3415, 1313, 1097, 1814, 2309, 525, 56, 782, 524, 2249, 663, 1367, 2509, 1307, 2170, 1376, 3097, 1103, 778, 3542, 1625, 1306, 905, 3593, 330, 345, 2575, 1667, 804, 2253, 1812, 2055, 1762, 3016, 2609, 63, 327, 905, 486, 199, 2817, 2101, 3414, 285, 356, 1055, 2624, 2387, 534, 2596, 2616, 2452, 671, 280, 3803, 1408, 1965, 3323, 2532, 1392, 2331, 1878, 2659, 914, 972, 3682, 567, 1367, 2759, 1666, 1880, 1685, 1290, 445, 338, 1036, 2289, 968, 1204, 2080, 4059, 1464, 3973, 3325, 3638, 955, 929, 2548, 2053, 454, 1388, 2400, 1405, 3014, 3752, 266, 2498, 1392, 1664, 1897, 3419, 347, 349, 1382, 1338, 1391, 2495, 3679, 3847, 1371, 1581, 2594, 1884, 1354, 1890, 1303, 2773, 1478, 1881, 3092, 2759, 54, 2652 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1373, 440, 1539, 1388, 246, 581, 265, 2276, 81, 1912, 1954, 1755, 3164, 2427, 3189, 2533, 666, 1310, 343, 1338, 668, 614, 2589, 618, 2665, 695, 38, 2883, 94, 2148, 27, 3325, 2533, 3135, 373, 83, 405, 2152, 1037, 419, 347, 855, 205, 486, 318, 1960, 2568, 3145, 906, 3747, 974, 1980, 1915, 1857, 409, 1955, 550, 3233, 3697, 3875, 3109, 1537, 3073, 3, 2, 1507, 1365, 1366, 3145, 97, 2490, 114, 3462, 34, 2390, 1514, 385, 1445, 341, 356, 2123, 2120, 2634, 2124, 417, 3094, 3422, 1354, 2441, 2794, 3941, 43, 2578, 3995, 266, 1439, 831, 3304, 1036, 839, 2186, 1668, 1439, 1365, 1953, 2392, 266, 26, 3281, 974, 3275, 2458, 2188, 1144, 2466, 56, 1418, 8, 429, 1434, 3851, 645, 3090, 4054, 2518, 1364, 2306, 2005, 2475, 2986, 135, 2929, 2139, 922, 342, 1919, 632, 1742, 326, 4002, 1221, 348, 1403, 27, 219, 1606, 1435, 1461, 1265, 619, 12, 586, 2220, 1414, 2298, 406, 1356, 2581, 27, 90, 346, 2646, 1352, 3083, 1486, 635, 1112, 1361, 2891, 1432, 279, 1733, 1535, 138, 96, 3107, 2539, 1178, 1043, 3450, 1507, 1103, 2458, 1428, 3535, 550, 1416, 3413, 1876, 4100, 4100, 4090, 1818, 1013, 890, 1431, 2859, 3754, 90, 1418, 1354, 1350, 1371, 1062, 2150, 1109, 393, 2794, 2938, 9, 1420, 439, 191, 3178, 2085, 382, 458, 902, 3085, 1372, 235, 341, 1368, 91, 1163, 1877, 1892, 1367, 1445, 2398, 91, 2054, 91, 3884, 2410, 245, 1478, 874, 1441, 2150, 1397, 90, 1493, 1386, 73, 1106, 738, 1314, 345, 1145, 1353, 1097, 1916, 1409, 1037, 3078, 1634, 1399, 1342, 3195, 3450, 3454, 3710, 3454, 638, 3454, 3706, 3454, 3706, 3662, 3706, 3710, 1662, 3710, 3450, 3710, 1662, 3714, 835, 1690, 3226, 1486, 1691, 1630, 1300, 2482, 2850, 1480, 458, 1370, 1498, 3984, 1366, 1114, 1874, 2619, 794, 1402, 1368, 2586, 348, 3610, 491, 1380, 2121, 2211, 619, 1356, 929, 1350, 3658, 829, 1353, 999, 1882, 2301, 2394, 341, 1292, 2458, 2022, 295, 1934, 2458, 1491, 1818, 118, 333, 3610, 276, 2234, 487, 1369, 349, 2076, 2508, 1155, 2440, 2239, 1325, 2074, 268, 3367, 61, 666, 918, 809, 1090, 3682, 1349, 533, 202, 2396, 1130, 1406, 1366, 342, 620, 1450, 666, 3924, 4037, 2104, 1578, 346, 3663, 1363, 1928, 327, 1341, 490, 65, 3715, 2398, 2514, 2713, 2652, 3396, 3847, 1937, 3510, 1044, 2486, 1837, 121, 479, 2060, 785, 2391, 1756, 858, 1864, 43, 345, 1409, 75, 1474, 1286, 993, 2165, 115, 409, 3285, 511, 1213, 3327, 1081, 82, 2739, 2443, 4091, 2611, 1731, 542, 3734, 2424, 3041, 3886, 1132, 2014, 2702, 257, 2650, 788, 3073, 715, 1554, 3233, 2444, 1250, 3626, 793, 2170, 1397, 2211, 678, 3503, 1334, 22, 89, 1771, 1738, 2137, 2120, 289, 760, 2693, 377, 874, 1033, 1120, 1885, 1916, 134, 81, 3079, 1013, 57, 261, 550, 527, 261, 2311, 89, 2096, 3217, 1196, 2393, 1367, 1360, 2297, 2985, 1609, 585, 1097, 627, 801, 1077, 137, 25, 7, 1296, 781, 3077, 1313, 97, 2997, 365, 1563, 1444, 3403, 3921, 1124, 3849, 36, 1157, 345, 5, 345, 60, 2048, 2032, 1377, 3802, 1876, 1800, 3332, 2435, 2182, 3418, 3849, 2057 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3976, 135, 5, 2760, 6, 2055, 90, 2056, 1412, 2947, 776, 1372, 3973, 1737, 3082, 1173, 1113, 2390, 117, 2313, 25, 1797, 75, 75, 90, 2120, 1924, 2435, 90, 4020, 1401, 4028, 3717, 857, 477, 1121, 1221, 1357, 810, 325, 261, 517, 1077, 13, 808, 66, 315, 3291, 2743, 1128, 302, 3402, 2793, 3061, 497, 349, 91, 906, 1388, 3094, 2841, 284, 3846, 9, 773, 227, 1421, 475, 28, 4028, 309, 387, 205, 133, 1157, 2057, 49, 773, 3462, 2138, 2565, 1372, 926, 3933, 543, 3478, 3422, 779, 1868, 2390, 391, 2409, 1642, 314, 2664, 864, 603, 500, 759, 820, 580, 2646, 2091, 3990, 1817, 2126, 1161, 2395, 117, 1618, 303, 1358, 2337, 3340, 3913, 138, 1382, 218, 4082, 3666, 1404, 1482, 3586, 333, 3138, 3333, 2586, 3846, 235, 3820, 3929, 876, 1899, 1798, 2391, 3669, 1573, 2526, 858, 1342, 2632, 24, 3803, 276, 567, 463, 800, 641, 2364, 425, 2120, 73, 1142, 1046, 3924, 19, 1307, 1414, 1082, 891, 1624, 2586, 3215, 586, 662, 334, 2330, 327, 1934, 3650, 3683, 783, 1473, 4014, 1781, 3967, 3619, 1378, 4022, 2604, 3318, 1831, 186, 2402, 3427, 2723, 1165, 3164, 2887, 2422, 3882, 3900, 2091, 2053, 1642, 1032, 1625, 64, 4002, 838, 2015, 2842, 3310, 1434, 2182, 3893, 1484, 2522, 1062, 1209, 2322, 1913, 3873, 1110, 1882, 1837, 246, 21, 1435, 6, 817, 82, 1038, 90, 1575, 229, 2693, 1580, 231, 1940, 1948, 2247, 2404, 1007, 1473, 163, 2960, 2396, 2033, 1678, 3905, 1485, 50, 1626, 2134, 1106, 2089, 102, 85, 1113, 2010, 1106, 896, 322, 582, 1365, 82, 1478, 1285, 1372, 1370, 534, 1541, 1284, 1178, 3334, 1285, 2383, 1478, 280, 3782, 2830, 1374, 3100, 1197, 554, 61, 282, 2385, 3790, 2397, 222, 1371, 2329, 1438, 3530, 777, 551, 802, 1386, 1908, 1446, 1594, 4071, 558, 261, 2082, 7, 74, 789, 1301, 1834, 3092, 2510, 1129, 85, 2066, 25, 1487, 1298, 3513, 1362, 3552, 482, 2612, 1596, 914, 731, 2633, 1246, 1817, 184, 1362, 3477, 2696, 666, 2474, 2422, 158, 1114, 1306, 3490, 1738, 1368, 638, 1613, 857, 1914, 611, 878, 91, 556, 1397, 2828, 861, 642, 2442, 1530, 693, 1802, 3417, 3350, 1738, 373, 134, 40, 1907, 1310, 3422, 2106, 2583, 184, 2074, 2789, 1251, 1909, 666, 2858, 3234, 1413, 2568, 745, 3093, 2102, 3797, 2982, 1674, 1380, 1680, 346, 1790, 2026, 1236, 1899, 2302, 2464, 154, 357, 3313, 3283, 3896, 2454, 437, 2283, 1374, 742, 572, 575, 3141, 92, 517, 1147, 2402, 2385, 858, 1038, 1286, 2326, 1114, 1309, 386, 652, 1029, 364, 3418, 2147, 2375, 3402, 326, 1033, 1258, 774, 945, 406, 3374, 73, 517, 1034, 1541, 462, 1302, 1222, 354, 2136, 842, 2282, 3792, 1397, 25, 468, 2081, 1500, 878, 1659, 2958, 3811, 2440, 281, 2396, 2074, 346, 342, 1353, 90, 1613, 726, 1114, 1141, 282, 1374, 2073, 462, 1626, 1925, 343, 3417, 343, 850, 2182, 91, 2402, 348, 1754, 1891, 82, 57, 1989, 1034, 1308, 1036, 3338, 3785, 3938, 3077, 3086, 2836, 1558, 22, 975, 3609, 2076, 1060, 2671, 2540, 1198, 4055, 2073, 1330, 2329, 2121, 326, 1113, 1861, 1145, 1033, 1048, 1301, 1050, 2652, 1116, 2389 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1306, 1865, 1354, 221, 1399, 1289, 1826, 470, 3181, 1305, 1306, 12, 2186, 795, 99, 1594, 1562, 1402, 1370, 1498, 365, 353, 1114, 1032, 3827, 91, 393, 1513, 2822, 2029, 43, 2693, 1209, 96, 1386, 2845, 3100, 352, 3761, 32, 1630, 909, 562, 1385, 3418, 615, 531, 229, 361, 1369, 3163, 1314, 1640, 2936, 2880, 3089, 3301, 1380, 2781, 2565, 228, 2790, 894, 45, 470, 4018, 1209, 1634, 1118, 891, 1402, 2061, 2549, 661, 661, 1815, 2915, 1590, 2074, 3554, 2090, 3861, 3650, 2107, 2089, 1201, 2054, 2374, 1477, 20, 1580, 1544, 94, 90, 2145, 3546, 1369, 122, 1122, 1099, 1389, 2325, 1370, 351, 10, 1336, 3706, 3571, 2057, 1285, 6, 1490, 1625, 1422, 1114, 73, 3546, 3910, 1621, 3094, 1439, 620, 1826, 1078, 521, 1313, 1872, 3166, 1578, 69, 21, 1029, 8, 1370, 1002, 1110, 3184, 1409, 1650, 1316, 1438, 1031, 1834, 234, 538, 3135, 1069, 233, 1993, 2755, 907, 3801, 3123, 2488, 682, 1487, 4002, 1116, 1985, 530, 1183, 3722, 4066, 2949, 689, 1427, 1406, 1914, 411, 1707, 2671, 3034, 1432, 2140, 2425, 3934, 1057, 1639, 1470, 2753, 3424, 1978, 3457, 1371, 3629, 3373, 3909, 1569, 2284, 1548, 1835, 2886, 443, 1003, 409, 1800, 1021, 890, 2744, 3684, 1586, 1820, 2273, 2533, 807, 2130, 1892, 1872, 3546, 2901, 1505, 1382, 2917, 861, 2625, 923, 2257, 1228, 748, 928, 83, 2513, 1881, 2262, 2162, 1825, 1823, 2994, 2921, 1318, 2585, 2160, 1961, 1681, 2029, 4081, 3564, 2147, 3668, 3437, 602, 100, 1981, 2092, 3962, 1428, 1372, 898, 3687, 1889, 333, 1471, 147, 54, 434, 189, 3518, 716, 1400, 1629, 95, 778, 1325, 3106, 1360, 3846, 281, 1370, 535, 1066, 982, 4041, 2374, 1269, 293, 123, 586, 1349, 1946, 81, 919, 1429, 1163, 2007, 3398, 338, 3084, 2661, 1894, 2474, 139, 186, 3413, 2125, 1308, 4001, 1042, 1306, 1477, 3545, 3045, 3865, 1886, 459, 1142, 1891, 2127, 3995, 1619, 2732, 3087, 3317, 3210, 3176, 1922, 3958, 309, 1033, 1371, 3645, 3589, 3805, 621, 2103, 166, 3363, 909, 218, 133, 530, 822, 325, 2538, 3562, 3077, 2865, 2161, 1016, 2024, 3303, 797, 2691, 3592, 837, 1477, 3646, 1651, 810, 649, 3562, 197, 3133, 3831, 3621, 2321, 1163, 3270, 2384, 2701, 3917, 199, 1756, 1989, 3207, 999, 2072, 52, 1495, 2463, 3342, 2352, 3086, 3947, 3644, 564, 3027, 210, 2419, 1821, 1631, 31, 935, 3115, 343, 1647, 3738, 163, 417, 2323, 653, 799, 1873, 352, 584, 2870, 1205, 870, 1041, 3598, 2055, 1989, 774, 2073, 1053, 1823, 2323, 2561, 205, 39, 934, 2150, 579, 2069, 3671, 1322, 3478, 2566, 1116, 8, 1955, 1943, 3613, 3759, 413, 39, 525, 2207, 2163, 650, 1490, 1412, 2055, 504, 2716, 148, 1295, 3613, 2088, 27, 3646, 2331, 1335, 3453, 2109, 1462, 825, 2028, 129, 2380, 1349, 267, 44, 2542, 2055, 293, 3786, 3337, 1224, 2552, 1962, 245, 3563, 1271, 3099, 1101, 2710, 52, 2829, 1685, 2062, 659, 1073, 1133, 2140, 2508, 553, 2071, 224, 424, 303, 837, 919, 3197, 595, 749, 1611, 1506, 13, 1534, 1925, 1536, 2128, 837, 3857, 227, 40, 3405, 1359, 2317, 133, 3711, 2989, 2005, 1807, 547, 3615, 2184, 2761, 725, 2126, 1257, 1419 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2000, 963, 1582, 3521, 141, 1234, 2577, 2867, 157, 2133, 229, 3979, 1166, 3993, 1040, 1470, 2479, 1079, 2002, 520, 1694, 1097, 602, 3087, 2124, 3161, 2027, 2878, 516, 2099, 440, 229, 2161, 2130, 576, 909, 3480, 3166, 3270, 2135, 2003, 1676, 3358, 1781, 2869, 1101, 2065, 2381, 1093, 2427, 328, 9, 3640, 709, 3333, 1158, 3077, 2367, 1574, 2566, 2666, 3601, 42, 361, 3363, 933, 945, 2535, 3015, 3237, 2623, 2290, 1034, 1880, 3725, 2247, 3101, 1382, 12, 8, 584, 584, 582, 21, 3589, 2173, 133, 14, 534, 1308, 47, 2912, 2419, 3289, 389, 3350, 345, 296, 74, 1037, 89, 2314, 346, 2651, 1898, 1372, 1881, 3415, 1643, 1382, 3804, 1341, 3532, 1410, 3450, 1401, 1925, 1251, 1770, 3598, 1398, 1404, 1628, 1170, 1888, 3426, 2538, 1541, 1052, 2798, 3926, 15, 1084, 1733, 1605, 300, 1505, 1180, 1620, 3934, 149, 581, 3971, 1477, 3852, 489, 2041, 3355, 3588, 4050, 3899, 1290, 3834, 798, 683, 3804, 3320, 1066, 1399, 3295, 1863, 1541, 1417, 1977, 492, 1562, 1719, 797, 3414, 336, 1886, 1162, 2544, 1630, 22, 2613, 2217, 86, 1535, 3675, 3295, 3741, 81, 2527, 3156, 1189, 1993, 3435, 3190, 1633, 1858, 3982, 2854, 966, 2134, 3, 2, 582, 1482, 2901, 2053, 3458, 3662, 3922, 4041, 923, 3317, 1223, 790, 3229, 66, 158, 1418, 1136, 1594, 1971, 774, 2425, 69, 344, 282, 2253, 1053, 1630, 2543, 66, 75, 69, 101, 2325, 1886, 945, 541, 619, 61, 333, 3738, 1045, 2677, 405, 3749, 2326, 1533, 395, 3207, 515, 2959, 2779, 2268, 780, 2417, 3505, 2108, 3476, 1389, 3632, 58, 2616, 378, 3780, 2620, 915, 1350, 2497, 1644, 2190, 2828, 3623, 3286, 826, 1078, 1404, 108, 3667, 1877, 1557, 1569, 1184, 6, 623, 5, 483, 5, 1905, 781, 1882, 1834, 2779, 4005, 2443, 2553, 1713, 1713, 1652, 3424, 427, 1859, 1997, 701, 228, 52, 226, 2994, 2819, 2726, 1052, 1838, 1345, 2491, 3492, 2193, 175, 838, 3726, 3599, 149, 113, 3491, 136, 1509, 1520, 2394, 3517, 2420, 488, 1386, 2945, 2690, 3748, 1837, 1363, 901, 253, 3660, 130, 36, 2275, 4077, 2467, 87, 463, 931, 2280, 1530, 3981, 4052, 1528, 3300, 644, 2324, 1244, 2205, 1586, 388, 984, 2125, 2045, 1177, 979, 70, 3578, 1128, 2105, 3726, 3291, 3152, 3980, 1313, 2113, 1846, 3575, 164, 1533, 3627, 2410, 2973, 257, 3870, 93, 3532, 2452, 3649, 1035, 344, 227, 1636, 9, 17, 1065, 2572, 453, 381, 10, 581, 213, 25, 3365, 10, 3418, 238, 29, 201, 1078, 385, 3669, 3392, 203, 1372, 1327, 3102, 2983, 1451, 3127, 1446, 2394, 1444, 889, 3439, 1937, 1561, 819, 2255, 780, 932, 2567, 3896, 3276, 3796, 2066, 3622, 2776, 247, 417, 1770, 1403, 3581, 1319, 179, 57, 1684, 788, 4100, 4052, 1813, 3987, 1028, 1011, 914, 1540, 1016, 1925, 3128, 2312, 453, 3560, 520, 2209, 2514, 2725, 3765, 866, 1899, 2134, 1434, 1934, 3313, 216, 1253, 1363, 1294, 2584, 3337, 70, 2825, 1297, 2161, 1354, 1113, 1342, 26, 1918, 3419, 1704, 1870, 1923, 1452, 2282, 3792, 1911, 3212, 1223, 1052, 1759, 624, 724, 3102, 2930, 3649, 3899, 3971, 4092, 4071, 833, 3603, 980, 3872, 3884, 3120, 612, 2277, 2481, 2533 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1534, 3632, 1471, 1505, 2301, 1035, 858, 3421, 3339, 4029, 3601, 877, 609, 881, 104, 1480, 1736, 1085, 2683, 4035, 1797, 3620, 1822, 1846, 1395, 3554, 1979, 266, 3079, 3187, 3964, 558, 1032, 3615, 2696, 2020, 2253, 2467, 1370, 2021, 2951, 155, 3719, 3289, 337, 3444, 3516, 2976, 3979, 3100, 1411, 1818, 476, 3315, 1997, 3722, 2660, 2565, 253, 2270, 958, 3590, 21, 645, 88, 2854, 1338, 125, 2117, 1078, 724, 3012, 1152, 284, 2871, 1669, 1539, 224, 2492, 1969, 3151, 3531, 2577, 1709, 799, 2940, 3987, 222, 133, 3341, 389, 2061, 145, 21, 464, 857, 71, 583, 116, 2403, 1811, 1402, 3925, 1856, 2093, 1116, 3217, 1736, 1758, 2102, 3763, 2751, 4007, 837, 3747, 2212, 1575, 3237, 3685, 2084, 2059, 2277, 1253, 2277, 2599, 376, 2091, 2163, 2590, 3313, 2440, 3237, 1639, 1893, 2239, 2215, 1517, 3790, 249, 1831, 1363, 926, 1994, 1481, 1461, 2362, 1140, 3361, 3291, 2821, 3437, 1718, 1874, 3430, 25, 1190, 4028, 3946, 2884, 3668, 3395, 1660, 1914, 987, 2153, 1234, 1534, 98, 3550, 3398, 36, 92, 1596, 1034, 509, 3124, 378, 1050, 3545, 3726, 3976, 1800, 3350, 2418, 781, 474, 3358, 1398, 2085, 1126, 2508, 2158, 3602, 42, 3446, 89, 2123, 354, 1167, 25, 1036, 3013, 474, 2084, 1482, 3484, 1389, 2289, 122, 1792, 1462, 1960, 2279, 1595, 2267, 2305, 23, 2353, 3906, 205, 73, 2124, 69, 797, 1691, 3144, 553, 2821, 3086, 345, 333, 121, 1140, 10, 326, 3132, 2547, 3525, 1132, 3850, 1060, 3859, 3973, 88, 3850, 2059, 175, 487, 3845, 2507, 3418, 675, 2117, 122, 1500, 127, 2151, 93, 582, 1053, 133, 493, 818, 538, 1557, 17, 3896, 95, 1925, 3423, 3407, 2644, 7, 1649, 351, 1010, 1720, 1482, 1178, 1557, 1030, 2396, 3603, 2589, 245, 9, 342, 38, 1352, 3904, 2932, 2860, 2638, 3542, 470, 2325, 3571, 3916, 1055, 3273, 2400, 3108, 2180, 3435, 3496, 3304, 1227, 3161, 1037, 4019, 3749, 3555, 2284, 2799, 3979, 3449, 1629, 791, 2399, 1116, 2321, 930, 3309, 3885, 742, 2827, 2373, 3203, 998, 1838, 3680, 3363, 2112, 13, 1659, 3499, 20, 3186, 2930, 2433, 791, 1097, 1356, 3948, 3963, 2395, 476, 1320, 3808, 1696, 356, 3006, 2163, 1664, 2664, 1466, 945, 968, 404, 1740, 2422, 3902, 3611, 2125, 3930, 3035, 3683, 2508, 2668, 1729, 3868, 13, 1662, 2043, 3347, 4063, 1512, 319, 877, 266, 3090, 91, 2685, 2469, 1828, 3045, 3958, 237, 3416, 1776, 3359, 1928, 3170, 1832, 1136, 3412, 3965, 1625, 1261, 165, 30, 1654, 2503, 629, 3137, 1752, 1489, 1041, 3418, 2792, 1670, 789, 3397, 978, 1089, 844, 1142, 3381, 585, 1446, 3162, 1480, 1037, 1642, 650, 2374, 3657, 777, 79, 650, 1305, 3244, 2906, 1038, 2790, 1165, 389, 3549, 4008, 249, 1375, 530, 1118, 301, 119, 2181, 2456, 3436, 2538, 3078, 3358, 3985, 1215, 1958, 791, 314, 3096, 888, 3632, 2937, 51, 261, 1509, 335, 3819, 3107, 349, 1143, 3163, 830, 3646, 1482, 2842, 2156, 42, 3847, 2181, 3763, 3027, 1990, 2513, 2962, 1595, 3638, 3638, 518, 3638, 3701, 3201, 4022, 2963, 1554, 1856, 1915, 1000, 720, 414, 132, 2084, 2150, 102, 2150, 1832, 2811, 1570, 1930, 1260, 4093, 2505, 3203, 856, 1807 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2575, 207, 220, 2198, 3087, 1692, 3398, 2532, 60, 2108, 893, 2456, 1543, 353, 2393, 1512, 2990, 103, 29, 74, 1402, 2987, 66, 1356, 3734, 3696, 1524, 1419, 3482, 3870, 3872, 3108, 3105, 1462, 3819, 22, 1485, 815, 893, 1463, 1442, 433, 2510, 2558, 3868, 311, 1606, 2268, 2466, 1518, 1734, 4063, 2117, 1319, 1178, 3610, 1323, 226, 1589, 1028, 1825, 695, 1477, 1883, 1050, 1251, 1290, 3425, 1356, 3656, 28, 74, 1030, 2134, 278, 1557, 932, 89, 613, 3098, 2122, 2898, 2646, 74, 2505, 1167, 1473, 2394, 402, 2069, 2523, 90, 2389, 859, 2765, 1823, 2241, 1371, 686, 1454, 3489, 1391, 612, 2359, 2057, 123, 667, 135, 2821, 986, 2570, 3128, 285, 2107, 38, 3596, 1663, 1998, 2043, 482, 2397, 1328, 1614, 1282, 406, 2340, 3931, 1492, 1823, 3759, 2862, 2145, 125, 147, 1206, 495, 4013, 1599, 2847, 1726, 3180, 652, 1305, 1288, 558, 228, 3519, 200, 2049, 1995, 3872, 1762, 3506, 3562, 1874, 3645, 2893, 262, 1249, 2134, 5, 325, 737, 3694, 2366, 3078, 348, 521, 275, 922, 3571, 1962, 2426, 1389, 2249, 2137, 1103, 280, 2789, 359, 189, 135, 3533, 2049, 1793, 2042, 2042, 1394, 2418, 4095, 1909, 1418, 1498, 3738, 3737, 1978, 1356, 1366, 1006, 3819, 339, 496, 400, 787, 1301, 1377, 619, 2910, 3674, 3900, 3313, 2369, 2115, 522, 3462, 10, 3714, 2770, 3219, 743, 1768, 2586, 3277, 1351, 4004, 2621, 434, 413, 3693, 134, 1073, 373, 255, 3444, 2513, 1703, 3674, 1376, 3316, 3061, 483, 906, 1033, 346, 2851, 2095, 557, 659, 2952, 2506, 354, 550, 1354, 3701, 342, 497, 35, 547, 3124, 795, 359, 12, 1536, 2156, 1083, 602, 1366, 2118, 2889, 2292, 21, 785, 2181, 497, 3152, 77, 3014, 2350, 3102, 2257, 1624, 2750, 164, 1804, 161, 3078, 416, 2334, 2522, 164, 3162, 1608, 2737, 410, 3309, 1341, 3674, 1264, 3097, 3170, 2498, 3875, 609, 2390, 2403, 2621, 1884, 3852, 3090, 2692, 369, 534, 1405, 2186, 1795, 31, 1916, 3742, 3116, 2300, 3503, 3105, 1020, 2266, 3637, 681, 3269, 3973, 2707, 1798, 858, 459, 2194, 1275, 1112, 177, 1482, 1128, 2504, 25, 1797, 3158, 1474, 2181, 4037, 270, 1913, 72, 1501, 1946, 1418, 604, 26, 349, 2310, 2517, 157, 3465, 929, 1327, 631, 1432, 1225, 37, 2398, 380, 603, 2418, 1370, 1384, 2565, 3085, 517, 1421, 3610, 2662, 1242, 1498, 3565, 2084, 220, 3493, 3455, 635, 1696, 630, 3142, 1035, 954, 3617, 2183, 1419, 13, 3325, 161, 225, 372, 2557, 8, 296, 307, 797, 2076, 989, 711, 763, 2106, 3463, 3047, 1876, 2247, 2585, 2458, 2404, 3994, 3096, 1391, 2725, 5, 3088, 49, 133, 520, 2648, 2402, 410, 1502, 3710, 1355, 941, 1360, 1957, 403, 4065, 226, 1925, 467, 832, 36, 2822, 1199, 252, 10, 3418, 2675, 1469, 968, 3077, 1445, 1973, 28, 2221, 3304, 750, 2618, 2988, 3290, 1703, 604, 2300, 3260, 1653, 2401, 1347, 928, 2907, 2097, 3418, 2209, 3419, 2002, 3065, 262, 3541, 2142, 3340, 3703, 1147, 1154, 3980, 15, 3179, 1851, 491, 3160, 1589, 3098, 1409, 2108, 196, 2458, 3293, 2533, 2797, 3290, 1674, 2698, 1715, 3711, 3317, 41, 956, 1421, 1094, 3298, 3002, 1137, 1780, 2023, 2522, 2780, 2118 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1470, 3496, 3757, 3277, 2232, 1450, 2660, 3407, 9, 1357, 2139, 3972, 1040, 47, 1011, 3666, 1606, 3130, 3796, 3314, 3988, 1900, 2541, 3178, 3843, 2140, 1071, 81, 2706, 1319, 1606, 3329, 1593, 3149, 518, 153, 3710, 132, 1036, 3113, 3079, 3500, 3078, 3558, 69, 1962, 100, 3397, 141, 601, 3663, 1845, 2126, 1350, 3100, 71, 1382, 3155, 283, 502, 1246, 1102, 1078, 3090, 345, 1613, 1352, 1033, 1114, 1815, 620, 227, 901, 1851, 3176, 2279, 1628, 17, 38, 306, 3358, 1544, 238, 1833, 312, 2341, 2026, 4013, 1035, 1769, 2582, 2952, 419, 2424, 2467, 1453, 3132, 2139, 3287, 401, 2290, 669, 1818, 1757, 1370, 3628, 2319, 435, 149, 1987, 788, 791, 49, 163, 417, 971, 1768, 1844, 255, 3058, 3572, 1535, 1004, 2378, 3460, 29, 1032, 393, 69, 1268, 2259, 905, 3274, 1802, 1908, 3486, 2884, 1787, 554, 1052, 2536, 264, 2875, 2064, 3179, 1527, 2037, 727, 568, 1986, 2587, 4063, 886, 1571, 1823, 416, 1458, 2790, 2455, 2338, 4006, 2494, 2562, 97, 1200, 994, 1818, 3333, 2053, 634, 1945, 1037, 67, 2426, 483, 711, 403, 914, 967, 135, 1802, 1476, 89, 3144, 241, 34, 1382, 2757, 2561, 566, 62, 989, 173, 511, 421, 3183, 239, 2607, 844, 2059, 117, 2585, 3428, 3086, 467, 157, 3167, 2624, 171, 2850, 4062, 2590, 2273, 2509, 3233, 1508, 3483, 3922, 137, 2743, 1627, 591, 108, 1450, 3144, 2510, 1128, 2884, 1625, 74, 1054, 3746, 1142, 1436, 1157, 2981, 1881, 1928, 326, 3944, 3815, 3739, 2414, 2885, 61, 1715, 1717, 184, 3430, 294, 335, 1568, 2766, 1451, 1822, 1806, 326, 1277, 91, 348, 354, 4076, 600, 2292, 469, 1298, 3894, 2054, 4050, 307, 1797, 1884, 826, 3130, 3994, 642, 794, 5, 5, 1941, 325, 1109, 1385, 1833, 136, 283, 35, 279, 67, 1055, 346, 1057, 29, 3081, 1059, 1957, 538, 2419, 2342, 1301, 569, 37, 391, 1398, 1374, 474, 517, 1674, 2109, 20, 3110, 3146, 486, 2373, 802, 1310, 417, 3749, 64, 6, 1434, 261, 121, 1542, 3862, 81, 421, 3, 2, 1441, 1894, 3882, 1361, 3592, 3685, 1430, 395, 363, 577, 837, 674, 53, 118, 1045, 1061, 3093, 25, 1249, 2076, 1929, 1509, 591, 1021, 1306, 93, 493, 1034, 1030, 117, 1683, 784, 3489, 2562, 197, 36, 3164, 2632, 478, 3325, 1722, 2005, 12, 1096, 2877, 3676, 1463, 1504, 1039, 1581, 2234, 605, 2403, 989, 1055, 773, 885, 1212, 1223, 148, 1555, 2426, 4007, 4010, 3165, 837, 3512, 3364, 1002, 1805, 328, 906, 3169, 1252, 2461, 231, 86, 1425, 827, 1933, 3166, 10, 3077, 352, 3485, 1185, 72, 2002, 411, 2196, 188, 2155, 2109, 2067, 3926, 1462, 197, 1439, 3077, 1361, 97, 902, 1118, 2693, 598, 3139, 607, 869, 2230, 1058, 1821, 3077, 501, 3114, 1034, 945, 2737, 1365, 1039, 4064, 2145, 1350, 2148, 913, 2889, 1181, 2142, 3589, 2002, 1093, 81, 3038, 2660, 3589, 161, 1396, 3574, 859, 1996, 1029, 421, 965, 775, 2146, 935, 134, 774, 17, 3409, 1769, 2561, 897, 785, 773, 801, 1137, 3489, 108, 1797, 1034, 1125, 183, 5, 795, 804, 3785, 2146, 3462, 1674, 2113, 3874, 2218, 977, 1413, 3085, 950, 928, 1318, 3102, 3893, 14, 8, 33 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 14, 1090, 1833, 2197, 358, 3105, 294, 3866, 973, 2166, 1810, 3297, 1812, 2057, 1370, 701, 2627, 886, 1233, 1416, 2647, 3237, 376, 850, 1377, 1947, 901, 151, 3093, 2056, 1397, 2854, 124, 3940, 3728, 861, 17, 1114, 1830, 1110, 1036, 3269, 513, 354, 1883, 3985, 2145, 54, 3376, 518, 1030, 789, 1057, 1541, 285, 278, 1356, 3269, 1439, 17, 6, 1031, 277, 327, 2194, 2201, 3015, 1931, 1935, 282, 3991, 2306, 1666, 790, 1937, 1036, 1029, 2578, 1112, 1926, 88, 3105, 1385, 1153, 1838, 119, 2003, 1819, 3921, 787, 1045, 326, 138, 95, 2593, 381, 3090, 1994, 2090, 245, 502, 1445, 2075, 2054, 327, 2210, 3905, 2196, 3877, 1090, 1637, 1110, 2821, 1804, 1877, 154, 974, 12, 3855, 1541, 3866, 341, 3432, 2885, 1493, 1825, 389, 22, 21, 3826, 1914, 391, 3667, 6, 353, 1722, 972, 3459, 658, 2242, 1428, 14, 1366, 1541, 604, 3141, 1029, 1804, 3869, 3850, 422, 785, 1029, 1308, 3845, 277, 773, 1354, 378, 821, 1120, 111, 252, 3157, 1413, 2267, 1426, 2141, 3165, 3018, 1985, 2987, 2821, 905, 1955, 850, 2339, 1042, 975, 1570, 1046, 83, 1253, 216, 869, 2710, 5, 1269, 3206, 1701, 625, 3708, 1939, 1582, 3672, 1802, 109, 206, 20, 390, 1829, 1094, 3894, 2339, 1528, 1819, 2230, 1194, 908, 3157, 2276, 1544, 1078, 2058, 1093, 200, 193, 1830, 1781, 325, 23, 1804, 3101, 1877, 3473, 3861, 1683, 794, 907, 2308, 897, 1429, 2618, 3173, 2529, 1372, 3573, 991, 3084, 3667, 815, 17, 604, 3744, 3645, 3490, 785, 674, 2374, 23, 3914, 33, 2054, 801, 1686, 1329, 326, 776, 3355, 2262, 773, 598, 726, 83, 294, 24, 370, 3638, 3079, 197, 1043, 2331, 390, 1115, 837, 3894, 198, 961, 146, 1878, 1077, 525, 777, 2618, 1277, 822, 60, 2645, 101, 65, 101, 3205, 1045, 74, 3466, 3103, 346, 3877, 3876, 3934, 210, 2004, 202, 3589, 1445, 1937, 341, 1877, 543, 102, 1361, 12, 2606, 136, 2378, 69, 35, 1557, 3847, 381, 2004, 3141, 2630, 3781, 2326, 2568, 57, 1526, 1396, 3445, 27, 3445, 57, 1352, 780, 1863, 3555, 249, 1037, 23, 925, 3590, 132, 1066, 3717, 280, 887, 3191, 367, 3422, 1047, 1990, 793, 2964, 1689, 1314, 1036, 1413, 32, 2029, 7, 341, 969, 2915, 1866, 2908, 2179, 2213, 934, 554, 774, 3912, 2846, 155, 819, 346, 915, 616, 202, 1123, 1232, 4037, 475, 2070, 2331, 805, 3015, 26, 1876, 931, 197, 337, 1553, 3402, 1059, 77, 773, 1095, 3171, 957, 3681, 65, 2294, 1820, 3610, 1119, 2755, 975, 1578, 3028, 1116, 3859, 2002, 1083, 117, 301, 1349, 3798, 116, 2855, 1114, 3225, 2833, 123, 158, 1356, 1542, 787, 490, 27, 255, 329, 2198, 856, 1845, 3885, 529, 858, 143, 1021, 1370, 100, 207, 666, 774, 881, 646, 3857, 1797, 116, 26, 3864, 3576, 598, 2565, 117, 3089, 1388, 3925, 3573, 225, 282, 3607, 3693, 3592, 3093, 501, 65, 95, 1046, 785, 1021, 82, 1354, 65, 1845, 1501, 1699, 204, 3738, 965, 3969, 66, 3605, 4085, 1825, 1090, 2770, 3989, 837, 3197, 3860, 278, 2200, 678, 1173, 92, 1706, 3860, 69, 3490, 1829, 33, 4001, 2577, 3717, 208, 152, 951, 452, 123, 2102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3014, 2134, 3974, 3450, 3426, 3400, 1501, 859, 1267, 335, 1041, 1107, 648, 283, 1105, 2054, 21, 171, 902, 286, 815, 3668, 802, 1846, 1912, 1179, 1525, 1410, 1129, 1301, 129, 1673, 1365, 122, 133, 4053, 1982, 1101, 214, 3317, 860, 2824, 605, 1258, 1809, 3596, 1246, 874, 789, 1149, 221, 3403, 3854, 1809, 37, 1034, 3414, 3149, 3480, 408, 229, 3811, 1690, 2826, 1156, 1450, 3357, 1114, 356, 1094, 3873, 801, 1233, 3594, 785, 22, 3125, 1402, 789, 2613, 2094, 1813, 582, 1541, 519, 418, 3937, 1415, 1429, 1610, 56, 135, 785, 1877, 2469, 1368, 214, 3590, 198, 1845, 2167, 786, 1621, 773, 1305, 1881, 1089, 390, 10, 2390, 3159, 3085, 3661, 2442, 3169, 788, 2821, 93, 916, 2134, 238, 3446, 1814, 1053, 3032, 3653, 1157, 1118, 2303, 29, 3669, 17, 99, 2054, 1597, 3294, 1473, 3118, 838, 1684, 16, 3476, 1217, 597, 3858, 3351, 634, 147, 2308, 1354, 2161, 2837, 374, 2136, 1925, 895, 1658, 1256, 3615, 421, 378, 2302, 1119, 3967, 96, 33, 800, 3142, 130, 3607, 187, 2825, 1350, 1301, 1377, 3153, 1449, 1574, 119, 3859, 2186, 29, 477, 3084, 3598, 21, 3270, 485, 968, 1535, 2549, 1427, 3105, 1059, 481, 3165, 3742, 63, 789, 963, 3116, 2153, 1031, 850, 2859, 1032, 1324, 3921, 3409, 53, 216, 1530, 3413, 3935, 1973, 1413, 880, 1661, 471, 2027, 1542, 1802, 3425, 1407, 1597, 978, 1352, 2147, 3721, 1495, 3976, 177, 2837, 94, 867, 2605, 1062, 1595, 2824, 1809, 330, 391, 665, 1108, 774, 1249, 959, 3126, 1116, 3871, 3701, 587, 74, 29, 1185, 3850, 1808, 373, 1057, 85, 342, 3089, 3117, 1541, 373, 794, 538, 2589, 1115, 3021, 1956, 326, 1123, 1350, 582, 3154, 326, 73, 1382, 757, 483, 1917, 520, 125, 902, 170, 1940, 1722, 3730, 585, 75, 82, 21, 521, 21, 1095, 21, 22, 571, 2198, 442, 3413, 1221, 471, 1431, 309, 61, 34, 1285, 1082, 97, 3365, 378, 3097, 9, 277, 653, 377, 421, 1030, 1032, 2613, 41, 4013, 1477, 1624, 1509, 69, 1805, 1099, 21, 296, 1678, 634, 262, 3598, 73, 2316, 1163, 1598, 1956, 2714, 3985, 475, 550, 3111, 3094, 341, 810, 522, 1539, 1722, 2123, 1314, 33, 440, 950, 25, 1113, 3866, 1878, 2324, 2854, 4067, 382, 2053, 2169, 341, 3559, 589, 1851, 871, 1489, 1755, 2751, 1685, 82, 2713, 3585, 3239, 789, 3950, 2995, 1553, 1277, 3196, 2744, 2948, 672, 276, 3073, 2330, 600, 3742, 3800, 3722, 1178, 204, 2843, 1570, 2217, 1349, 2760, 282, 2566, 10, 859, 1317, 43, 184, 1042, 2411, 356, 3226, 569, 1501, 286, 1405, 2396, 2768, 2418, 4028, 26, 492, 1670, 371, 1512, 1510, 1593, 3427, 964, 2832, 2909, 3149, 3150, 1401, 1630, 420, 91, 2939, 1870, 1409, 2369, 3867, 2753, 1024, 315, 3437, 1878, 1955, 951, 3473, 3781, 34, 1492, 2889, 1589, 194, 52, 3911, 197, 693, 101, 1637, 5, 1901, 229, 241, 5, 1393, 377, 447, 3978, 3273, 3333, 60, 2238, 3212, 1892, 2762, 32, 296, 2441, 1147, 2075, 3130, 492, 1130, 1173, 1647, 3144, 319, 185, 57, 698, 872, 2597, 721, 2403, 2400, 3417, 3049, 8, 103, 326, 941, 441, 140, 1541, 49, 604, 3057 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3193, 1940, 1390, 516, 21, 1306, 1152, 2698, 3269, 1502, 3618, 2534, 1385, 1033, 102, 3362, 2191, 1591, 3956, 129, 2587, 518, 1625, 120, 1094, 3094, 3220, 3717, 134, 3642, 1366, 3453, 3418, 1150, 1517, 1369, 142, 330, 870, 337, 471, 1397, 1826, 2618, 1370, 1370, 842, 318, 3353, 1116, 2403, 1628, 2652, 2760, 350, 2399, 2822, 3089, 3461, 3078, 3632, 2056, 19, 2097, 998, 1453, 3217, 3060, 17, 965, 301, 1189, 69, 1093, 3636, 3593, 5, 253, 773, 1043, 1797, 1050, 26, 3767, 951, 3511, 1987, 829, 3648, 2215, 2053, 2227, 654, 2291, 3760, 2791, 2223, 1578, 1694, 3767, 3435, 1950, 1662, 3058, 1402, 1869, 346, 3819, 857, 3454, 2998, 2970, 1422, 1383, 3359, 2835, 958, 3081, 1034, 3354, 1213, 199, 1734, 1490, 437, 41, 1226, 2675, 2489, 3156, 9, 146, 3096, 1916, 1288, 32, 7, 1068, 262, 1309, 1717, 1780, 1987, 1652, 3043, 3946, 3002, 404, 1937, 657, 1240, 3897, 1250, 303, 1105, 3517, 1916, 2386, 3860, 15, 731, 2656, 3082, 2431, 2268, 2809, 3268, 2495, 179, 3553, 385, 17, 3922, 1045, 9, 26, 4037, 434, 3078, 1596, 785, 1916, 2609, 2827, 3667, 1649, 121, 1097, 1506, 128, 2309, 262, 1676, 60, 1938, 2941, 3717, 1797, 1445, 2144, 379, 518, 1957, 355, 3081, 1113, 25, 1105, 3656, 2291, 1832, 1900, 2133, 1408, 1941, 482, 3546, 1407, 2933, 283, 2981, 478, 3426, 3932, 1871, 2968, 387, 11, 2936, 2522, 1353, 1098, 1865, 1380, 2566, 903, 3774, 3690, 2841, 3175, 1733, 1613, 3513, 1098, 1686, 94, 2853, 2524, 1765, 394, 346, 1402, 1366, 1855, 1736, 1888, 27, 3121, 3270, 1639, 3904, 1372, 2653, 2799, 1583, 3083, 2073, 3730, 1891, 325, 378, 3350, 1368, 1626, 1878, 1392, 2414, 2394, 138, 2850, 3821, 4028, 3078, 1006, 3141, 2055, 22, 3013, 160, 827, 3109, 3449, 3960, 3369, 73, 3137, 34, 1553, 4010, 2004, 3529, 156, 2106, 1149, 2104, 2684, 1989, 77, 2182, 3048, 1161, 1113, 3674, 350, 2379, 390, 1546, 666, 2211, 2022, 1098, 3765, 698, 2025, 362, 2559, 443, 4010, 1287, 1367, 2419, 1198, 3907, 3816, 1803, 2183, 915, 948, 2292, 2066, 1423, 645, 533, 1298, 2029, 28, 2633, 329, 332, 1720, 3893, 1816, 801, 475, 520, 795, 572, 1109, 3746, 1878, 3334, 1443, 3768, 4037, 2104, 345, 3205, 37, 524, 1302, 3660, 2057, 1386, 2122, 1291, 537, 86, 74, 3209, 1029, 2174, 325, 2593, 165, 138, 3198, 1121, 1401, 2121, 1435, 1111, 923, 63, 159, 3823, 1463, 416, 3661, 1791, 1416, 2703, 240, 2551, 435, 1487, 2237, 2790, 3632, 2506, 1776, 399, 3880, 2603, 935, 3567, 3821, 2540, 2335, 1760, 711, 1793, 3841, 1696, 1458, 2559, 2963, 1679, 2096, 2536, 1776, 2874, 3495, 2559, 3944, 3662, 3971, 1726, 1533, 2984, 160, 3527, 3219, 390, 2451, 3304, 2319, 2335, 451, 759, 952, 2187, 1400, 479, 3676, 3320, 3232, 3658, 2272, 2515, 3, 2, 2977, 3846, 2675, 542, 2976, 2481, 2390, 1667, 3484, 3717, 2003, 3046, 1965, 2812, 3622, 3970, 1566, 2945, 2781, 3786, 3681, 1896, 3029, 883, 244, 2958, 1812, 2480, 2995, 2166, 1629, 1919, 1901, 3167, 354, 1024, 1985, 883, 993, 2958, 1821, 1789, 2002, 3918, 1842, 3683, 1043, 3822, 1826, 4061, 2131 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1934, 1907, 961, 782, 2014, 1970, 3700, 2622, 2948, 2237, 3460, 1462, 836, 2017, 627, 1011, 1166, 1853, 3778, 1668, 3694, 2738, 2004, 4096, 1520, 435, 2008, 3784, 3292, 3578, 3060, 3790, 3262, 2898, 2997, 3886, 3610, 3518, 2128, 2212, 2029, 2618, 2618, 2750, 3706, 3006, 3710, 2675, 3707, 3714, 1812, 2677, 1903, 3709, 3678, 2670, 3649, 3646, 2494, 1578, 3693, 3812, 3622, 2805, 3029, 2525, 4042, 4007, 2585, 2221, 2974, 2669, 3779, 3683, 3566, 2755, 1571, 2718, 1967, 2030, 3238, 3239, 2037, 1970, 2787, 946, 3629, 1373, 1919, 3629, 3678, 3846, 3520, 498, 579, 574, 1934, 1889, 1577, 1630, 2994, 3622, 3005, 3204, 1554, 3155, 3830, 1660, 1042, 743, 898, 1939, 1106, 1726, 1822, 1930, 3837, 3246, 2670, 2022, 2595, 2862, 3708, 3454, 3454, 3710, 3709, 2978, 1573, 3045, 2344, 2540, 2423, 3706, 3453, 526, 3709, 3777, 190, 2598, 3518, 2565, 4044, 944, 2684, 2604, 3798, 1956, 1746, 1952, 1570, 3504, 1887, 2980, 2046, 3971, 2222, 3696, 1869, 3702, 1971, 1837, 2979, 3633, 1856, 1899, 2503, 3709, 2588, 253, 3949, 1883, 1716, 1654, 3946, 2527, 2021, 2478, 2103, 2025, 3578, 931, 200, 4037, 1862, 2618, 802, 3917, 213, 1638, 1299, 2444, 3646, 557, 1825, 126, 1951, 2390, 1541, 1505, 147, 3423, 1493, 2390, 271, 2389, 3445, 1487, 2138, 214, 2268, 121, 1626, 3290, 2137, 253, 86, 1077, 678, 3397, 1119, 3730, 1625, 1175, 2198, 2890, 2692, 2149, 373, 3092, 552, 3340, 31, 2124, 2839, 65, 1898, 35, 794, 2087, 1519, 157, 1319, 294, 1063, 231, 545, 419, 2522, 2530, 3549, 3485, 1033, 1384, 2138, 2731, 3088, 2765, 1710, 3694, 3719, 2390, 2277, 220, 3443, 1375, 2090, 3684, 2294, 325, 453, 1882, 2527, 3765, 128, 520, 1266, 11, 145, 480, 4037, 1539, 193, 36, 11, 369, 3290, 1832, 3848, 2831, 2065, 3519, 1542, 2449, 3909, 2890, 3386, 1920, 1063, 31, 348, 4073, 385, 3459, 2106, 3077, 4037, 3028, 466, 2770, 209, 3713, 26, 2083, 1447, 531, 551, 535, 1558, 1019, 4043, 2081, 989, 666, 1387, 2364, 3309, 2778, 3617, 3559, 968, 3905, 80, 2048, 2399, 2602, 3838, 110, 2050, 3514, 1355, 35, 838, 1406, 1365, 3802, 1354, 3751, 2789, 2189, 2044, 1148, 1916, 1909, 878, 1459, 569, 701, 380, 1380, 2385, 3905, 2592, 8, 3125, 522, 1828, 907, 1644, 3565, 1562, 213, 2122, 1049, 1029, 3276, 3825, 23, 328, 263, 278, 428, 2189, 2208, 1876, 2530, 618, 3210, 2087, 3414, 1907, 829, 531, 1565, 1695, 2278, 2653, 1687, 421, 2158, 2152, 2917, 4033, 614, 1061, 2232, 824, 824, 3320, 835, 2481, 3586, 3570, 3554, 227, 3442, 3586, 868, 3578, 4068, 2536, 4004, 2295, 140, 2183, 871, 1892, 2845, 2551, 3857, 551, 1669, 1290, 1070, 4091, 4008, 3538, 1862, 1827, 606, 3416, 2125, 2018, 495, 1370, 2102, 20, 102, 3461, 804, 1626, 23, 265, 214, 905, 1146, 365, 1145, 1947, 601, 215, 1090, 373, 3530, 1285, 1490, 1597, 2167, 1339, 762, 1666, 942, 2910, 3880, 3187, 2443, 2380, 2146, 1831, 3006, 1111, 3859, 2212, 773, 1211, 3256, 2506, 2686, 1116, 2652, 1360, 1378, 1374, 1114, 1826, 1354, 1374, 2664, 1373, 3450, 3753, 1497, 1500, 1436, 3708, 1033, 2905, 1165, 2189, 2196, 2196, 2189 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 739, 1315, 3975, 730, 1946, 3082, 1290, 1639, 3792, 2565, 844, 2341, 972, 997, 3874, 3716, 1800, 4076, 3799, 3626, 4036, 2696, 2524, 2652, 1406, 2410, 3450, 3450, 1386, 3710, 3453, 3735, 3831, 1290, 106, 3708, 3993, 3762, 1902, 3986, 1636, 2335, 2905, 1694, 682, 1715, 173, 367, 2659, 2096, 3425, 2974, 206, 1626, 2798, 1396, 1658, 1658, 2522, 1532, 268, 1009, 2295, 1215, 1370, 1596, 3709, 1285, 634, 3314, 2036, 1398, 1828, 1469, 4013, 3295, 1287, 3421, 3674, 1258, 1403, 601, 327, 179, 567, 1344, 2396, 1322, 1033, 76, 92, 3094, 75, 1937, 3919, 1657, 1620, 1433, 1384, 213, 1059, 854, 1178, 49, 3181, 1391, 1049, 2406, 1757, 3740, 1042, 3333, 3453, 1050, 3430, 1171, 3225, 123, 2758, 3444, 1461, 1380, 234, 100, 2211, 114, 1082, 1660, 3237, 3584, 1476, 1261, 351, 1498, 3942, 1514, 3832, 2280, 3319, 997, 2805, 1013, 3576, 2856, 3084, 3893, 3016, 2530, 1891, 1157, 1294, 3591, 1938, 3129, 72, 35, 3729, 4049, 251, 1616, 130, 2853, 122, 1117, 1565, 354, 1307, 3203, 149, 2970, 2851, 1629, 1956, 2586, 2906, 91, 459, 2400, 833, 854, 2990, 3415, 1954, 3782, 1194, 1285, 2902, 147, 2130, 18, 3788, 824, 824, 824, 1056, 3602, 1301, 1297, 2778, 3849, 1770, 1621, 3621, 1406, 3673, 10, 1098, 2058, 3735, 3413, 3413, 37, 3147, 2250, 1151, 607, 2592, 2965, 264, 1484, 1027, 3845, 3418, 3722, 2434, 3586, 3402, 597, 795, 1891, 1031, 1031, 3512, 3643, 14, 1357, 40, 1599, 325, 2414, 2022, 2389, 3869, 772, 2768, 2137, 1123, 2407, 262, 2439, 818, 2066, 1306, 2954, 1397, 325, 1041, 1403, 728, 31, 355, 1800, 1583, 551, 551, 3355, 866, 2644, 3213, 2957, 2508, 820, 2117, 3333, 2266, 1450, 351, 1950, 2395, 2634, 2409, 3141, 1189, 3953, 170, 3747, 1078, 369, 3626, 2022, 1365, 1370, 1504, 3013, 18, 1840, 3132, 3777, 1375, 607, 3417, 3163, 865, 3583, 3852, 1954, 3083, 1034, 214, 1309, 227, 1205, 223, 538, 1466, 3994, 1390, 2140, 3850, 596, 4026, 3920, 905, 1956, 2124, 1485, 3471, 1954, 3754, 2025, 2828, 1909, 1098, 1724, 3519, 2842, 3192, 691, 2597, 3519, 2523, 2406, 545, 545, 2998, 3451, 866, 2266, 2219, 1485, 2441, 2982, 3451, 2144, 2091, 298, 1379, 918, 307, 1695, 147, 1269, 282, 4058, 8, 1236, 2757, 1286, 1093, 2061, 1150, 1733, 3613, 3426, 70, 36, 3077, 639, 1121, 3542, 261, 1024, 17, 15, 641, 2005, 30, 3281, 2155, 1799, 3005, 2173, 85, 1277, 3621, 36, 2295, 186, 3654, 3823, 2908, 2146, 2539, 3623, 919, 550, 551, 1319, 1530, 2988, 1760, 3161, 565, 794, 1626, 1381, 197, 2181, 2085, 5, 602, 2458, 1408, 2458, 1627, 1643, 1642, 1701, 1898, 1395, 3414, 1469, 3771, 549, 2875, 3945, 3579, 2085, 2092, 200, 1840, 2788, 1538, 1383, 885, 110, 3525, 972, 2540, 1484, 2524, 3346, 1642, 3436, 2252, 2103, 1877, 972, 2631, 868, 602, 1973, 3272, 2645, 3276, 3015, 3089, 3282, 2731, 1628, 1804, 1091, 145, 3078, 2836, 473, 913, 3522, 1241, 6, 282, 2003, 1341, 3930, 1497, 1050, 1800, 1003, 81, 997, 2772, 3179, 335, 2846, 2652, 532, 3507, 773, 917, 2328, 1343, 4024, 2693, 2046, 3097, 310, 200, 3213, 260, 2405, 3227, 2745 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1962, 69, 1034, 69, 5, 1377, 205, 1166, 10, 1116, 1361, 9, 1800, 97, 83, 3429, 74, 1047, 2886, 3481, 91, 2650, 478, 38, 2386, 1116, 1369, 598, 1358, 3421, 357, 2109, 109, 194, 3335, 2181, 674, 1032, 3601, 2086, 2470, 1319, 2138, 92, 2021, 1717, 1830, 1359, 3626, 92, 1295, 1000, 199, 3275, 2204, 17, 62, 3265, 2055, 3848, 3091, 2164, 4037, 268, 1989, 1555, 3626, 2288, 4035, 866, 2872, 2630, 2757, 2773, 120, 723, 1942, 3842, 1682, 1597, 2042, 3034, 1537, 2026, 2906, 3950, 2046, 3331, 1919, 634, 2786, 2650, 1556, 2077, 549, 489, 2373, 89, 1404, 563, 721, 2961, 2181, 4051, 4065, 2032, 3089, 3103, 161, 1010, 1925, 3621, 554, 144, 2254, 3581, 3729, 2189, 2301, 189, 2749, 3149, 2237, 2189, 3329, 2956, 1011, 2853, 20, 523, 138, 1293, 2393, 997, 246, 528, 2004, 1027, 3693, 3448, 34, 3456, 3468, 2138, 1119, 2467, 637, 22, 1037, 1333, 2361, 12, 3080, 245, 602, 474, 2979, 2107, 1435, 1103, 6, 1958, 1114, 1676, 1933, 2053, 1016, 3896, 3473, 3600, 3928, 247, 488, 3764, 247, 968, 2157, 2029, 3613, 3216, 3214, 1830, 1299, 2541, 1489, 2747, 1570, 506, 1449, 650, 2791, 1581, 1278, 1910, 34, 4045, 1372, 1962, 2265, 366, 202, 1358, 3610, 455, 973, 1949, 531, 1586, 1431, 3461, 1121, 2358, 3857, 850, 1038, 3642, 1870, 3261, 106, 1299, 155, 1785, 154, 1606, 2061, 2499, 2241, 954, 3128, 1882, 1782, 484, 3126, 4066, 3413, 3494, 3480, 2565, 625, 2426, 1884, 2682, 3757, 504, 2535, 1494, 2685, 3700, 2458, 1675, 2281, 117, 3646, 2074, 2989, 2258, 3128, 58, 2673, 3560, 2172, 3306, 3130, 1389, 1661, 425, 2041, 2193, 3243, 2157, 2033, 1922, 1925, 226, 1948, 3474, 3106, 3974, 3587, 3329, 1443, 2113, 3961, 456, 2791, 35, 549, 2146, 1589, 3432, 3418, 1938, 101, 56, 3077, 1797, 3594, 1891, 860, 1406, 1839, 206, 3212, 3845, 1288, 1750, 1921, 58, 4053, 1445, 1530, 250, 1351, 211, 1850, 3099, 3462, 119, 226, 2138, 329, 48, 421, 3774, 1302, 2838, 1558, 347, 1535, 341, 3877, 3205, 1814, 1058, 633, 1301, 2693, 643, 42, 1370, 2041, 1088, 65, 1027, 1030, 3081, 1595, 263, 117, 130, 229, 262, 1625, 1877, 4005, 3467, 651, 72, 1545, 3674, 1563, 3106, 3564, 1099, 1590, 3490, 1893, 32, 100, 2070, 1418, 1098, 1560, 2634, 1368, 3866, 26, 3658, 3724, 2552, 3598, 2596, 2407, 533, 369, 1530, 2437, 4089, 39, 3607, 738, 345, 2399, 1178, 1388, 2006, 3572, 2113, 3988, 487, 747, 3741, 220, 2533, 3453, 3461, 3773, 3773, 648, 962, 605, 1543, 3304, 2431, 3604, 1063, 744, 1447, 555, 35, 205, 373, 3853, 265, 93, 3114, 38, 235, 25, 198, 3548, 1561, 2074, 1042, 1937, 341, 3819, 1029, 1944, 2122, 1916, 1359, 262, 1562, 3911, 1958, 2312, 1943, 170, 3763, 1954, 3811, 727, 279, 2169, 3400, 158, 1514, 2028, 2285, 3598, 4051, 1773, 2425, 3216, 1933, 3401, 61, 1093, 351, 1113, 607, 3980, 1384, 2189, 2189, 2949, 3619, 551, 902, 1014, 277, 884, 3489, 2178, 222, 53, 137, 1724, 520, 1039, 671, 995, 165, 2069, 1047, 1368, 1244, 346, 1418, 2202, 554, 1388, 2596, 1379, 1729, 1371, 2394, 2962, 1371, 2695, 3228 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2092, 858, 3994, 3208, 509, 3325, 2323, 3121, 2101, 373, 1475, 1940, 2024, 3341, 2650, 2733, 2703, 159, 2202, 2799, 928, 3649, 1916, 579, 1377, 3704, 1372, 3047, 2423, 947, 970, 1268, 1709, 3524, 3673, 282, 72, 2510, 1787, 1277, 861, 3304, 917, 3717, 303, 2140, 3689, 20, 53, 7, 2824, 3645, 3637, 3645, 63, 3483, 86, 3589, 3328, 2034, 67, 220, 3752, 764, 548, 2572, 100, 4037, 13, 813, 1008, 3189, 86, 3644, 3556, 2250, 3589, 3930, 364, 3, 2, 2102, 2033, 1355, 53, 25, 6, 3557, 1366, 3589, 3094, 2117, 554, 3329, 1113, 1412, 249, 1033, 1250, 264, 18, 3553, 38, 1989, 3349, 1382, 1127, 1077, 454, 345, 270, 2074, 2522, 1419, 517, 397, 122, 2584, 218, 634, 1409, 90, 821, 3454, 1013, 679, 1414, 2632, 143, 1490, 2647, 1099, 2194, 3223, 1650, 1171, 2139, 2336, 970, 2732, 2060, 2259, 2172, 2549, 1375, 1446, 2592, 906, 2801, 37, 29, 2472, 443, 3908, 1596, 3111, 2431, 4093, 1734, 1787, 2983, 2394, 1331, 1744, 3851, 823, 483, 211, 145, 1517, 4097, 1396, 2139, 122, 2617, 3922, 1014, 3557, 2060, 45, 414, 3331, 2024, 1532, 3517, 3650, 612, 312, 2808, 3176, 2088, 2158, 3299, 148, 2535, 1263, 36, 346, 2650, 1351, 360, 3281, 1358, 1402, 2523, 2511, 2024, 2555, 2042, 1694, 12, 3581, 397, 552, 2615, 2169, 1690, 1432, 532, 418, 812, 3030, 2530, 1569, 1029, 1763, 2524, 2403, 2074, 1353, 3083, 1866, 2571, 491, 1833, 982, 1898, 821, 1441, 3292, 3718, 933, 2842, 19, 3429, 266, 521, 2698, 3974, 1446, 1802, 1897, 3425, 1308, 2378, 1866, 2891, 1994, 2390, 458, 1356, 2823, 1365, 1900, 311, 1048, 3644, 3596, 3398, 1990, 1464, 2525, 2458, 1562, 1034, 3682, 257, 245, 68, 2001, 346, 2182, 121, 1913, 1094, 290, 1397, 351, 1102, 778, 3413, 214, 333, 3077, 1288, 347, 2062, 30, 4006, 1958, 1433, 2581, 650, 1665, 534, 2413, 601, 21, 1317, 3925, 325, 3978, 3414, 1698, 2374, 3334, 467, 1098, 2629, 121, 453, 2231, 8, 2077, 1177, 30, 2662, 1920, 1038, 1461, 3247, 2842, 44, 3931, 2032, 2645, 2375, 2639, 265, 1350, 2854, 1077, 86, 486, 1544, 832, 2033, 138, 1369, 979, 921, 858, 638, 1034, 1138, 3573, 1884, 3046, 3451, 3698, 1827, 2189, 2821, 589, 774, 1043, 215, 3077, 513, 913, 2997, 456, 2678, 3943, 3052, 2705, 8, 3420, 3417, 1367, 1919, 1402, 1518, 1408, 2801, 933, 1541, 1666, 2280, 2280, 3445, 865, 1380, 4058, 2051, 486, 21, 459, 956, 2289, 1786, 1350, 1165, 3235, 865, 2142, 3875, 2819, 292, 2240, 1540, 2129, 2249, 2053, 36, 139, 2053, 2516, 572, 826, 1889, 2212, 1960, 2558, 2510, 34, 1479, 921, 218, 3765, 2348, 1918, 138, 3637, 2175, 520, 3213, 2139, 2889, 121, 842, 1434, 3581, 1626, 2735, 1797, 2111, 200, 1544, 3080, 3083, 364, 1386, 371, 387, 350, 1179, 2223, 44, 1841, 2348, 1902, 1503, 1943, 3289, 1370, 1435, 2401, 2509, 1115, 293, 1514, 3978, 3548, 347, 2179, 1877, 374, 3868, 2531, 3226, 1831, 2189, 2076, 2075, 2732, 2524, 2268, 2596, 965, 2475, 246, 2482, 3846, 1621, 3603, 486, 127, 887, 3491, 2968, 1690, 3871, 1911, 1570, 2483, 1806, 3210, 1175, 1370, 4086, 1368 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3277, 1369, 1993, 1574, 1782, 1982, 56, 3122, 488, 3164, 4086, 34, 3462, 2566, 1077, 430, 2370, 1718, 1413, 3788, 3100, 727, 2167, 3466, 13, 469, 1118, 1098, 2393, 277, 83, 2041, 1361, 1378, 1829, 2785, 314, 1033, 3098, 39, 2121, 1034, 25, 1102, 280, 1865, 3418, 2170, 2276, 2082, 1235, 857, 1369, 1539, 1433, 71, 420, 2079, 1555, 3119, 1354, 2321, 1934, 1883, 609, 165, 3089, 3973, 2193, 1867, 1111, 2737, 3130, 3794, 415, 3270, 2284, 743, 822, 3584, 820, 777, 4093, 2296, 3296, 3567, 776, 3024, 2157, 2424, 31, 675, 718, 3847, 3180, 2846, 2816, 279, 2191, 493, 2599, 1006, 2127, 2672, 420, 419, 1850, 3747, 858, 90, 3939, 3578, 2408, 1536, 2538, 1260, 2778, 2347, 3301, 637, 3159, 2578, 1855, 2376, 1914, 2582, 2298, 1126, 1772, 1564, 1756, 2027, 2871, 230, 746, 2209, 2695, 3249, 758, 1033, 1126, 1410, 1706, 1350, 3092, 3448, 2502, 1594, 2971, 3191, 2268, 3713, 926, 3049, 558, 3078, 3987, 1328, 6, 22, 16, 3086, 1306, 3073, 2098, 537, 2190, 22, 3673, 1809, 237, 2022, 3094, 4005, 1018, 3910, 319, 3314, 118, 1814, 1857, 866, 2432, 3401, 1317, 75, 2394, 3972, 3993, 2210, 229, 1242, 3542, 1029, 1120, 781, 796, 101, 376, 285, 3081, 1493, 282, 1043, 265, 18, 97, 249, 2661, 3393, 80, 686, 2092, 313, 1113, 1101, 2133, 1303, 1029, 1097, 3114, 1651, 1881, 3929, 1418, 1910, 3786, 2692, 2313, 223, 1341, 12, 1293, 328, 8, 4085, 3805, 2306, 3434, 37, 157, 2264, 3677, 7, 5, 77, 5, 5, 533, 89, 3087, 3914, 1348, 282, 1477, 1857, 1322, 3973, 2395, 2054, 1173, 1506, 1958, 1955, 346, 412, 2702, 3801, 1000, 104, 223, 1555, 3517, 198, 3065, 3989, 2314, 10, 12, 1286, 2066, 3171, 1403, 829, 661, 1981, 3106, 3110, 2988, 3702, 3133, 4085, 3460, 3127, 264, 3215, 2327, 3859, 1499, 2772, 213, 487, 518, 1199, 237, 3086, 1137, 2112, 2027, 3236, 2501, 3016, 2245, 3464, 3557, 165, 29, 1319, 2523, 711, 574, 2996, 3089, 1912, 1873, 242, 774, 2828, 3219, 3893, 3340, 1859, 749, 865, 28, 190, 2898, 1567, 3604, 3445, 3130, 2667, 4090, 4090, 1308, 1378, 346, 3862, 858, 1376, 4041, 642, 2242, 1571, 1584, 2398, 3456, 1923, 1009, 2181, 1973, 3591, 1034, 1068, 1633, 1128, 25, 263, 1292, 963, 2289, 3017, 3211, 1927, 987, 2062, 1891, 931, 353, 1774, 1733, 970, 1936, 28, 2138, 98, 346, 1119, 345, 1372, 654, 2838, 1117, 2508, 3386, 4070, 1255, 1370, 915, 1962, 1649, 3428, 776, 3534, 1077, 2874, 1434, 3394, 582, 1033, 1885, 3314, 1378, 266, 1110, 2331, 391, 3413, 909, 773, 4060, 25, 3466, 1923, 803, 67, 929, 210, 1449, 1877, 1097, 2073, 149, 146, 70, 66, 1353, 1045, 857, 218, 346, 1067, 6, 490, 1389, 1077, 3765, 1322, 2907, 3861, 2898, 1052, 836, 2631, 3802, 89, 1493, 1690, 889, 1180, 2415, 1038, 786, 22, 92, 2117, 1161, 1306, 2034, 1107, 322, 1541, 1218, 1258, 1880, 2106, 2284, 577, 574, 2074, 1638, 4040, 2929, 3182, 1297, 1133, 2730, 1107, 1298, 277, 1401, 2986, 403, 2949, 2489, 1455, 3674, 391, 1418, 741, 1952, 2118, 1132, 2820, 3845, 2446, 2277, 2056, 597, 3725, 171, 2394 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2827, 3080, 3909, 332, 3611, 3862, 1177, 393, 2140, 642, 2986, 500, 915, 1511, 3613, 2052, 28, 33, 2268, 857, 1843, 3009, 4093, 3448, 465, 305, 486, 346, 3974, 3613, 3453, 381, 887, 911, 913, 1844, 4056, 4086, 4085, 3035, 2000, 461, 675, 162, 2054, 3505, 2276, 2053, 2525, 3782, 4035, 4004, 3782, 3536, 2582, 11, 2117, 1313, 240, 259, 3880, 2002, 2606, 2754, 3522, 3979, 3986, 1929, 470, 1608, 3199, 8, 3297, 805, 706, 1927, 1675, 793, 2926, 1281, 2446, 2844, 2681, 1411, 3446, 1818, 920, 2021, 13, 2532, 2542, 1407, 1694, 1433, 454, 1049, 456, 3721, 325, 1389, 2402, 1150, 3747, 1379, 483, 1050, 466, 1365, 1306, 1509, 1292, 1498, 2429, 2621, 277, 1306, 2691, 148, 391, 969, 1955, 1562, 3475, 2869, 3801, 113, 3247, 5, 2971, 2418, 2260, 1026, 773, 181, 811, 997, 2830, 1946, 2266, 4096, 2565, 1350, 346, 2170, 2650, 1512, 2546, 2459, 1882, 1371, 1372, 3385, 325, 242, 1882, 1396, 299, 902, 829, 2814, 2814, 1554, 3612, 1445, 1373, 592, 456, 3079, 1894, 1733, 613, 1498, 3846, 3674, 2941, 3918, 3002, 1532, 2897, 1626, 2459, 3743, 335, 90, 1412, 3957, 135, 822, 2410, 1678, 506, 1404, 2850, 1950, 3709, 3969, 2283, 12, 1437, 4017, 885, 2027, 1498, 845, 3401, 44, 1368, 347, 2462, 1402, 1626, 1973, 740, 3116, 94, 3597, 283, 58, 3189, 1275, 1597, 2758, 407, 1137, 1037, 826, 867, 3974, 1049, 345, 1603, 2309, 536, 3674, 712, 56, 349, 3422, 86, 357, 805, 1046, 1109, 3142, 1322, 4071, 1285, 1881, 2378, 7, 3737, 773, 2317, 2078, 3590, 3606, 1734, 3354, 2534, 363, 522, 1862, 3423, 345, 1373, 3214, 91, 2138, 2381, 2573, 1647, 359, 1627, 1393, 1869, 74, 1146, 486, 1036, 3094, 1388, 1406, 2219, 603, 2365, 349, 2527, 262, 282, 1598, 2813, 3710, 3493, 1390, 419, 108, 2077, 119, 1741, 604, 2245, 2139, 1345, 1388, 1375, 1389, 3801, 3669, 1498, 3590, 1257, 338, 1049, 806, 3159, 128, 899, 20, 3601, 1657, 1451, 2266, 1018, 839, 2506, 2045, 1356, 45, 1373, 97, 87, 2231, 2969, 778, 1721, 349, 581, 467, 1085, 5, 5, 757, 3261, 469, 37, 4035, 1095, 2128, 10, 237, 10, 1797, 2081, 3681, 526, 1052, 802, 1539, 2968, 2719, 1491, 2026, 2427, 442, 55, 1290, 1113, 1311, 2614, 1367, 1951, 378, 1394, 1307, 2104, 4099, 1999, 2101, 1045, 74, 52, 2608, 2280, 2757, 53, 165, 938, 232, 48, 2757, 3120, 3676, 3654, 1272, 2420, 3845, 1100, 1063, 2822, 2574, 3001, 1882, 1153, 1949, 1644, 1932, 1388, 1502, 2662, 2901, 2734, 1702, 2597, 2460, 3417, 1826, 2872, 348, 2218, 465, 30, 1591, 1772, 3723, 1675, 1678, 3771, 3711, 106, 3397, 2495, 1544, 2790, 1831, 1402, 3818, 2026, 2927, 810, 523, 2705, 3420, 964, 222, 3364, 2137, 3998, 1515, 1370, 1337, 1382, 3390, 2546, 353, 223, 3428, 2525, 64, 1290, 1352, 1961, 3537, 3482, 1647, 2161, 3416, 1640, 1636, 2573, 3726, 2068, 3050, 1054, 2248, 2284, 2786, 98, 482, 3522, 1492, 2374, 3283, 770, 1554, 3976, 1898, 3478, 1369, 1405, 3611, 1411, 2568, 1806, 2133, 1403, 3693, 120, 1517, 673, 2138, 1706, 3126, 1381, 2511, 2009, 1487, 2282, 1390, 2138, 1473, 154, 3596 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2398, 333, 786, 467, 1829, 987, 3398, 294, 86, 284, 3226, 838, 342, 345, 72, 3080, 2582, 390, 1113, 261, 3329, 2542, 1177, 329, 89, 1545, 53, 2846, 2379, 1098, 1094, 1100, 1106, 1114, 229, 2336, 358, 1590, 2376, 2647, 854, 1306, 2821, 699, 526, 1050, 1451, 1094, 1382, 1068, 3654, 1115, 2095, 2502, 328, 2477, 7, 2085, 35, 101, 1357, 1114, 34, 1534, 2281, 381, 69, 476, 677, 25, 181, 2112, 854, 1349, 1392, 1254, 3537, 665, 2488, 740, 2693, 774, 3459, 2406, 341, 1306, 2245, 1510, 1390, 1642, 1370, 394, 1573, 290, 176, 3539, 3298, 2133, 1411, 2088, 3528, 4022, 2052, 604, 4088, 1480, 3279, 3302, 3220, 778, 3877, 3449, 245, 282, 1480, 1328, 1322, 3060, 2114, 945, 1756, 1725, 2758, 1302, 453, 282, 1322, 1519, 3422, 2303, 643, 997, 3292, 2883, 1045, 613, 1299, 3132, 1088, 1901, 3308, 1998, 2532, 1554, 3958, 3505, 2263, 509, 2374, 1837, 3676, 867, 3422, 4008, 3169, 3625, 3057, 485, 432, 369, 742, 1126, 2470, 93, 125, 997, 3325, 1510, 3229, 3585, 1590, 232, 1792, 6, 1892, 2597, 21, 289, 776, 3783, 2053, 5, 7, 165, 728, 194, 931, 2064, 2524, 554, 1391, 2282, 1370, 1402, 1440, 2249, 209, 1901, 260, 2451, 3538, 3044, 2092, 2083, 2475, 446, 3187, 50, 2949, 3058, 3079, 3, 2, 881, 1533, 262, 3618, 364, 80, 1237, 117, 1993, 2453, 1509, 520, 780, 3542, 1534, 3802, 1244, 3756, 2738, 352, 2057, 2275, 3209, 3144, 1910, 2384, 26, 1413, 74, 1121, 1381, 1110, 3334, 1365, 1514, 1574, 551, 1420, 2410, 2376, 1344, 3429, 3446, 3454, 1836, 1114, 3520, 355, 329, 1051, 3308, 736, 3137, 2850, 4035, 1628, 2021, 3429, 3560, 1406, 2842, 3834, 1371, 2828, 1379, 2070, 1379, 2145, 2088, 3838, 1514, 1498, 2413, 1378, 1402, 3674, 1954, 1122, 1122, 1494, 2431, 843, 1655, 1260, 2594, 1817, 1379, 270, 3136, 3645, 501, 28, 1353, 1517, 977, 965, 189, 2741, 165, 294, 1538, 866, 158, 3392, 2604, 1011, 522, 1455, 908, 1375, 68, 3092, 3108, 3108, 3236, 3188, 3104, 3100, 3106, 36, 3892, 3970, 1538, 1274, 57, 3085, 86, 717, 2189, 2191, 2092, 2735, 2079, 688, 1709, 3519, 773, 733, 263, 244, 2273, 524, 3331, 916, 3084, 2561, 56, 2707, 3475, 1374, 512, 1391, 2274, 1391, 2163, 1375, 650, 62, 2275, 534, 776, 539, 3193, 3779, 173, 211, 1882, 1671, 2663, 2702, 1611, 2244, 3570, 354, 2082, 1946, 1636, 2525, 1354, 1757, 1356, 2054, 1354, 3722, 1455, 1648, 2323, 1453, 1375, 904, 853, 3601, 3320, 2010, 1522, 3845, 2659, 2073, 125, 1936, 1686, 1536, 1774, 1402, 3455, 2970, 1375, 694, 1634, 2650, 2064, 2139, 1507, 1516, 3810, 3989, 1288, 2828, 2727, 4072, 1989, 2515, 1704, 2073, 2399, 2725, 2052, 2256, 8, 3076, 3561, 2948, 2401, 610, 1414, 1678, 3939, 2557, 1987, 549, 2056, 3021, 2185, 340, 3847, 2824, 2616, 2625, 1334, 2650, 1576, 3032, 1343, 3589, 1508, 2377, 3937, 6, 1932, 1082, 289, 3630, 1222, 3106, 1482, 266, 1290, 831, 585, 75, 1992, 1597, 3292, 2289, 257, 1085, 357, 3342, 1669, 637, 1542, 1146, 1370, 2637, 2115, 1633, 1358, 1012, 2652, 2223, 94, 1038, 3079, 2067, 67, 2022, 23, 2367, 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 ]
[ 1906, 2172, 184, 190, 484, 1148, 3094, 1390, 3583, 3259, 517, 2403, 3296, 1021, 743, 565, 352, 100, 3621, 866, 1755, 2413, 2487, 1405, 3572, 1500, 1500, 1120, 3563, 1500, 2173, 2796, 2203, 2135, 3657, 2339, 277, 1970, 3725, 2595, 2128, 291, 293, 245, 3901, 3795, 2046, 859, 1012, 1416, 3978, 2753, 2796, 573, 77, 1097, 2121, 696, 580, 529, 22, 3109, 1960, 2490, 984, 460, 19, 460, 12, 21, 1522, 3611, 27, 2926, 3567, 2113, 1541, 3590, 1959, 85, 1469, 3209, 504, 3878, 3824, 969, 18, 29, 3866, 1268, 1109, 3588, 3428, 2111, 643, 3061, 262, 290, 538, 486, 1177, 1042, 4049, 4100, 4100, 2828, 3339, 1666, 3624, 1921, 76, 804, 86, 3142, 1628, 940, 1045, 3682, 3593, 76, 3605, 3079, 1078, 2329, 3846, 3160, 1305, 45, 1349, 1162, 1080, 1129, 1544, 1097, 2007, 2210, 3602, 1152, 515, 1042, 1359, 2567, 895, 1576, 1329, 2354, 82, 1088, 2647, 901, 2530, 656, 3314, 307, 105, 352, 579, 1052, 2072, 248, 3640, 896, 122, 1178, 3527, 162, 3554, 703, 1662, 1691, 2153, 391, 1365, 2021, 945, 133, 1686, 605, 3985, 1914, 1498, 4037, 1250, 248, 3286, 1874, 23, 53, 133, 1477, 1369, 2037, 1398, 3846, 1802, 3082, 3413, 1482, 1113, 2195, 3722, 3459, 2401, 3560, 1035, 3293, 381, 201, 2139, 36, 328, 1054, 1151, 3285, 1396, 2534, 1307, 659, 1342, 3971, 2135, 2115, 1180, 2076, 1484, 3397, 1929, 1382, 3195, 2031, 988, 1762, 2780, 2214, 2547, 978, 1650, 1683, 2066, 2510, 3978, 1741, 3674, 2765, 752, 1640, 1306, 1756, 2465, 3002, 512, 652, 179, 548, 2309, 227, 1596, 1766, 3091, 3765, 1004, 2300, 3168, 3577, 2116, 1522, 2042, 4060, 3457, 124, 2298, 4003, 2060, 3059, 3445, 2074, 19, 4081, 524, 3707, 2021, 1772, 899, 3090, 144, 1473, 483, 2704, 3526, 3557, 1563, 416, 1806, 625, 3107, 366, 2698, 1494, 3198, 1370, 2720, 2495, 3436, 1658, 373, 501, 1413, 3883, 1413, 1308, 2858, 3386, 3994, 1309, 282, 232, 3592, 3973, 1692, 2757, 3679, 338, 2026, 1574, 3762, 2742, 3203, 1791, 2756, 3798, 741, 1541, 505, 3187, 285, 3165, 401, 2067, 1585, 2118, 1811, 35, 3554, 3674, 3486, 4084, 2607, 1115, 1750, 1563, 1554, 1703, 933, 997, 1166, 3845, 325, 3541, 249, 1359, 1109, 201, 1093, 1882, 3147, 1433, 914, 349, 65, 339, 2010, 1858, 140, 2430, 3607, 90, 1386, 1578, 2327, 346, 1355, 889, 1501, 1955, 2359, 3129, 2277, 721, 948, 2363, 232, 2589, 184, 525, 3219, 136, 2582, 2073, 1416, 2118, 1477, 2142, 2126, 3137, 2467, 1406, 1515, 952, 3868, 3871, 1407, 2259, 1636, 2728, 2103, 1438, 2858, 1407, 1797, 2394, 25, 1349, 1852, 2796, 2540, 2824, 1828, 786, 1399, 190, 1534, 1423, 354, 74, 1797, 324, 742, 1918, 1411, 796, 22, 3514, 1031, 1285, 507, 1867, 2391, 1426, 1134, 419, 2108, 3425, 3392, 53, 342, 3080, 1286, 91, 1052, 1302, 2110, 1125, 2458, 154, 2709, 210, 230, 145, 391, 27, 7, 1411, 2225, 3978, 2858, 2790, 58, 1413, 3489, 3565, 3446, 3351, 166, 790, 290, 278, 298, 1166, 1868, 2586, 3909, 246, 1366, 3275, 2940, 3004, 1148, 1852, 3926, 2691, 3108, 2066, 65, 792, 3213, 1678, 1197, 2313, 2570, 892, 2721, 61 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1947, 25, 1906, 3378, 4066, 3546, 3694, 1869, 3647, 1660, 1932, 1913, 1916, 1922, 485, 1403, 175, 1809, 912, 456, 1481, 1754, 1284, 3303, 3973, 2124, 2805, 2162, 1679, 2149, 1035, 2713, 2067, 543, 119, 2757, 3987, 1652, 1760, 3428, 1506, 3417, 3745, 1090, 145, 265, 269, 540, 3597, 2873, 3789, 766, 535, 3302, 621, 1395, 1382, 2885, 1338, 387, 473, 1173, 713, 465, 2505, 2698, 2666, 1386, 1663, 1629, 1384, 2086, 3426, 3993, 114, 2977, 3646, 446, 557, 3269, 2613, 2424, 3177, 3398, 2032, 3818, 1539, 2117, 486, 1319, 1400, 2823, 391, 517, 1975, 1936, 300, 1561, 1572, 513, 252, 2614, 3145, 2744, 3538, 700, 327, 1892, 3647, 2954, 156, 2858, 136, 3673, 2880, 606, 1452, 3397, 3409, 799, 1349, 136, 1927, 3965, 1510, 858, 807, 1404, 1506, 1451, 15, 2320, 55, 1461, 1215, 2588, 89, 325, 3111, 613, 2541, 1290, 1450, 892, 2165, 4002, 3788, 3593, 1289, 2069, 300, 3208, 3494, 1038, 3508, 2202, 44, 1603, 3086, 328, 695, 2980, 2698, 422, 1264, 3108, 1532, 3579, 990, 1034, 3848, 2026, 2538, 3926, 1420, 3614, 2534, 70, 2358, 106, 2088, 3999, 3862, 1421, 2175, 3110, 1383, 705, 894, 1279, 2309, 688, 1534, 1363, 447, 4051, 1114, 1900, 2746, 1347, 2396, 247, 509, 3963, 3713, 1345, 3502, 131, 2234, 3627, 348, 3737, 36, 345, 2239, 738, 3715, 2067, 1543, 3859, 900, 1650, 2546, 4014, 154, 1670, 2134, 3114, 1548, 637, 2085, 493, 1094, 2650, 1098, 3094, 6, 2571, 734, 3488, 3694, 2859, 2159, 2428, 1378, 957, 25, 217, 885, 1971, 2611, 943, 228, 427, 3492, 2548, 1690, 1594, 3062, 488, 3152, 2550, 3292, 3512, 2038, 474, 3459, 1852, 3106, 3714, 1278, 3926, 2487, 2207, 1404, 2801, 1981, 2791, 1747, 69, 2490, 3894, 1498, 162, 1381, 1379, 1381, 2184, 2876, 2203, 197, 2514, 887, 3091, 78, 1287, 2131, 33, 3649, 404, 727, 104, 1402, 3644, 1468, 647, 3572, 2364, 1298, 1997, 2939, 3322, 1912, 3891, 3550, 3581, 1753, 2720, 1059, 2186, 1722, 1674, 1674, 2762, 3804, 2586, 2524, 2108, 2901, 3725, 921, 350, 1879, 3738, 2277, 1360, 950, 232, 538, 1710, 2191, 115, 37, 369, 686, 2049, 3403, 2442, 1674, 1691, 3814, 29, 1640, 2821, 128, 1109, 136, 2869, 282, 1810, 3162, 1298, 651, 2599, 2053, 3387, 2266, 1356, 3613, 1046, 1351, 163, 650, 81, 284, 460, 227, 3467, 3731, 3518, 1889, 1866, 3930, 2522, 3795, 606, 53, 65, 2659, 37, 828, 3231, 1373, 3406, 2324, 3445, 2092, 1780, 3162, 2953, 97, 2963, 28, 547, 2292, 532, 901, 161, 230, 12, 26, 83, 2559, 2188, 551, 480, 2714, 1572, 3083, 2692, 1415, 441, 383, 1644, 3574, 2046, 3363, 1035, 2119, 33, 105, 457, 581, 1828, 182, 786, 3846, 1412, 3271, 3674, 2376, 156, 84, 1373, 951, 1830, 1605, 1479, 1622, 1294, 3424, 643, 2082, 1097, 1555, 2309, 213, 1803, 1366, 826, 1087, 547, 2565, 10, 2275, 3245, 831, 325, 859, 929, 484, 1046, 470, 348, 2122, 1155, 239, 978, 1536, 2138, 1141, 2447, 3038, 1941, 602, 70, 3589, 777, 522, 1678, 2878, 3866, 3139, 3688, 2851, 1809, 2835, 1653, 3190, 3994, 1260, 3108, 1422, 1266, 85, 2435, 163, 1825, 881, 2832, 1525, 1340 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3641, 1565, 1341, 382, 2884, 1351, 394, 74, 1960, 1959, 1831, 2045, 110, 3347, 2294, 2734, 702, 652, 1883, 1953, 2393, 336, 2962, 5, 1052, 878, 1381, 1716, 2856, 1492, 3183, 1976, 1598, 3091, 2013, 2511, 517, 2602, 3108, 2652, 2084, 575, 643, 1049, 1917, 3639, 2134, 3691, 883, 3610, 1918, 4030, 3811, 1608, 1290, 1679, 3869, 3861, 2031, 3674, 3727, 1392, 2395, 2976, 162, 3567, 501, 260, 1378, 3584, 2195, 1809, 996, 1351, 546, 745, 2360, 370, 1494, 80, 1529, 2074, 93, 1260, 3930, 2146, 3411, 846, 1191, 1374, 296, 342, 909, 309, 4057, 841, 3013, 466, 670, 589, 647, 1166, 1375, 2285, 1589, 927, 3978, 1930, 1515, 1349, 3733, 2394, 3727, 2757, 3363, 189, 484, 3086, 2140, 2189, 2189, 2193, 3281, 3162, 2152, 3856, 3811, 1587, 3337, 121, 1330, 3747, 1508, 1249, 2063, 2605, 2733, 1702, 3721, 2727, 2398, 1002, 341, 577, 565, 687, 3077, 38, 2966, 3764, 3079, 435, 1006, 2466, 1402, 746, 3445, 2300, 2762, 530, 3718, 1394, 932, 3825, 3398, 1797, 2394, 98, 1347, 963, 139, 1733, 2254, 2026, 859, 3811, 2031, 1818, 719, 1002, 2544, 3789, 3421, 337, 2279, 1923, 2113, 2962, 4000, 740, 4060, 3792, 4074, 1713, 1536, 2794, 1450, 1851, 3561, 1445, 651, 3246, 3037, 2093, 2157, 2159, 543, 1406, 3139, 3806, 3626, 1738, 3426, 1636, 2465, 44, 1050, 124, 2701, 494, 2599, 478, 1856, 463, 2562, 551, 773, 1539, 597, 393, 2101, 2913, 6, 3460, 22, 3336, 2093, 132, 2328, 3244, 563, 90, 782, 1364, 62, 3813, 214, 3661, 598, 3339, 714, 1399, 585, 3371, 1425, 478, 325, 645, 446, 2026, 1886, 1350, 1317, 1385, 1942, 442, 1389, 891, 2092, 2470, 2159, 2204, 3690, 2190, 2028, 732, 2026, 1594, 3549, 1482, 3932, 1619, 352, 1498, 3426, 1498, 3427, 1663, 1462, 2875, 2419, 2296, 2548, 1372, 1882, 3547, 3546, 1979, 2687, 611, 2599, 2016, 3725, 55, 1003, 573, 283, 730, 3905, 3627, 3647, 619, 652, 1670, 1891, 308, 357, 1547, 86, 3598, 3762, 2588, 1308, 2118, 1617, 3540, 2620, 732, 3729, 253, 3086, 58, 3170, 3951, 2302, 3014, 1754, 3860, 2667, 3098, 3832, 347, 3166, 3, 2, 2054, 2321, 90, 2070, 608, 298, 3350, 726, 272, 2844, 2719, 2117, 1212, 13, 16, 841, 374, 1089, 3609, 1549, 164, 2262, 1157, 121, 1174, 746, 3210, 1302, 309, 3702, 1482, 3126, 3513, 61, 3101, 115, 479, 2069, 2404, 1923, 181, 49, 3460, 2686, 3454, 1036, 1037, 63, 561, 1088, 5, 3547, 407, 1130, 1416, 2889, 1170, 1302, 37, 774, 1431, 3343, 568, 59, 3720, 1945, 2649, 9, 119, 344, 1383, 986, 266, 329, 1366, 1109, 1046, 71, 1094, 73, 265, 1866, 329, 1358, 282, 329, 3473, 666, 133, 422, 2024, 1113, 1030, 2326, 1494, 2326, 2330, 345, 1113, 342, 1185, 1163, 4022, 2824, 498, 1336, 4033, 3089, 2884, 869, 1919, 1786, 3645, 1471, 545, 2403, 162, 1982, 2442, 3451, 629, 1422, 3450, 3449, 2531, 3450, 3548, 1896, 1526, 2796, 2428, 1532, 3208, 3998, 1155, 499, 1559, 1913, 1916, 1916, 1993, 1962, 2490, 2975, 2494, 1958, 465, 1047, 2421, 2944, 1595, 992, 1536, 1383, 161, 589, 379, 283, 378, 3451, 3386, 3369, 3385, 2551, 327, 1288, 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 ]
[ 3080, 1916, 3025, 1373, 2198, 2758, 277, 1042, 2108, 2962, 2049, 314, 2326, 2454, 2541, 1363, 338, 2155, 14, 3312, 2353, 509, 2911, 650, 1527, 105, 640, 2203, 2833, 3215, 2821, 344, 1544, 828, 598, 2201, 41, 90, 1843, 37, 933, 2181, 3431, 643, 2120, 1158, 547, 149, 5, 5, 645, 2053, 324, 3085, 57, 776, 2137, 925, 1357, 1927, 1580, 951, 821, 829, 731, 1490, 4032, 2424, 1490, 1985, 977, 157, 2600, 3283, 2206, 1057, 3649, 125, 3422, 2111, 3094, 2865, 3398, 3802, 3297, 3420, 1082, 1115, 3886, 1436, 3162, 1292, 2285, 3098, 537, 1418, 974, 1097, 84, 25, 1055, 789, 1378, 137, 1365, 538, 1318, 1889, 166, 73, 14, 1051, 92, 1520, 1046, 2520, 3411, 3397, 1099, 2394, 2491, 1321, 1455, 2521, 359, 2565, 253, 3654, 1954, 3259, 3987, 3648, 3637, 3558, 1690, 1180, 1920, 1978, 5, 3789, 2053, 292, 1802, 132, 892, 1380, 1917, 1499, 1280, 1930, 1913, 1948, 1916, 1084, 2485, 1400, 1834, 1427, 3283, 3418, 850, 3312, 2139, 1537, 3883, 26, 2024, 2491, 3816, 2435, 90, 1355, 192, 2979, 625, 893, 485, 1308, 2275, 628, 363, 1691, 1643, 2667, 1407, 1497, 645, 1980, 1916, 1912, 1987, 1327, 2903, 1685, 862, 2999, 1982, 2532, 21, 2438, 3316, 833, 2494, 2493, 1032, 2142, 858, 3641, 1938, 1406, 3554, 3554, 1392, 2018, 1374, 1882, 1933, 5, 16, 3792, 1744, 1598, 3047, 1918, 3899, 1468, 1500, 1814, 90, 3643, 3995, 3986, 2961, 77, 742, 2761, 1927, 3856, 2138, 3024, 3055, 3296, 1457, 3961, 3807, 3167, 3165, 3165, 3167, 3254, 3001, 1125, 1749, 906, 243, 383, 2137, 2237, 3494, 1009, 32, 1407, 374, 39, 717, 383, 3078, 1046, 2566, 36, 2579, 141, 133, 3526, 25, 3655, 888, 117, 1223, 2687, 1317, 127, 3207, 710, 1621, 1042, 3613, 3653, 1829, 2053, 1734, 1564, 518, 854, 21, 1093, 773, 572, 153, 6, 3205, 285, 735, 1413, 34, 801, 825, 1182, 3599, 14, 2057, 2701, 522, 1286, 885, 1223, 22, 1734, 2182, 1301, 25, 6, 3449, 11, 2314, 3081, 1032, 3098, 1113, 354, 586, 2154, 7, 887, 610, 1643, 8, 162, 1071, 2061, 229, 1222, 2074, 1389, 1109, 3351, 3772, 1902, 1370, 3370, 1424, 2122, 2164, 3046, 2080, 2752, 1378, 1482, 1376, 3609, 277, 381, 447, 3682, 2460, 1406, 2530, 1330, 3554, 3569, 51, 2866, 1970, 2867, 818, 931, 2994, 1842, 2994, 2866, 2978, 2995, 1894, 3589, 1985, 58, 1371, 3815, 1765, 346, 309, 1930, 1354, 1787, 1380, 1478, 867, 383, 2283, 227, 3550, 2810, 3169, 2339, 1774, 3554, 3555, 2545, 1762, 3810, 3554, 3554, 3310, 3225, 276, 3055, 378, 3093, 2074, 3002, 1366, 1046, 1327, 3297, 106, 885, 481, 2438, 6, 3195, 2054, 89, 198, 1191, 218, 2076, 709, 1702, 7, 390, 2083, 349, 1259, 74, 1557, 485, 1621, 247, 522, 89, 29, 3601, 619, 6, 1517, 3152, 2569, 1313, 538, 1289, 3205, 3131, 337, 1395, 1285, 102, 1331, 3709, 1382, 341, 496, 1632, 363, 3431, 1935, 2053, 635, 1493, 39, 1688, 106, 3077, 94, 5, 1226, 3092, 1425, 3084, 4037, 54, 3281, 5, 2597, 1000, 2278, 517, 1806, 3391, 42, 2504, 2536, 2261, 133, 519, 53, 3765, 5, 1798, 3089, 3100, 3320, 2277 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 786, 931, 215, 569, 264, 1913, 1370, 3065, 3442, 2931, 2090, 1186, 3651, 34, 133, 1372, 1594, 1546, 1467, 4083, 1492, 655, 2731, 350, 650, 1679, 859, 646, 1679, 3750, 3206, 4008, 3522, 2984, 1645, 3454, 906, 1178, 3771, 4074, 4029, 2278, 117, 2053, 2321, 3783, 773, 2053, 6, 77, 6, 3381, 184, 3588, 3539, 1845, 29, 623, 790, 3665, 2053, 36, 2058, 24, 2757, 12, 1260, 2284, 2951, 390, 1991, 2719, 2751, 2872, 2375, 2663, 2431, 2157, 3447, 2148, 347, 2383, 1458, 1786, 1390, 1370, 1395, 2622, 1614, 1305, 1366, 1360, 1371, 3975, 443, 2992, 303, 2406, 615, 3086, 1034, 586, 1158, 3914, 1372, 3709, 1378, 1686, 1372, 2074, 1370, 1370, 1402, 1366, 1658, 2247, 1517, 4021, 1369, 1097, 1097, 1865, 2138, 1307, 3610, 2494, 3977, 218, 1353, 1380, 260, 3407, 2106, 3198, 2539, 2984, 2314, 1562, 2048, 861, 3430, 1370, 488, 2542, 1788, 3167, 3713, 101, 395, 1425, 3049, 1733, 1097, 447, 473, 401, 1445, 1254, 601, 83, 165, 3458, 2289, 1369, 1544, 2613, 227, 885, 1846, 2908, 4071, 734, 2954, 1770, 2457, 1552, 351, 282, 1158, 1368, 281, 133, 135, 163, 135, 195, 1166, 1402, 837, 1388, 1478, 1030, 709, 2055, 277, 18, 3595, 2053, 37, 281, 729, 181, 2325, 901, 266, 5, 3391, 334, 1397, 1498, 1542, 3589, 197, 250, 2888, 2085, 5, 853, 489, 230, 1398, 125, 534, 2065, 3729, 341, 552, 2053, 262, 9, 326, 293, 563, 4093, 635, 5, 1613, 525, 2066, 3598, 1415, 135, 9, 893, 3641, 2085, 2053, 3609, 2182, 1805, 135, 293, 5, 74, 3727, 21, 5, 689, 197, 371, 3677, 1373, 3006, 3606, 89, 2466, 3693, 2121, 1097, 1097, 1097, 262, 7, 2093, 319, 2053, 17, 117, 223, 3613, 521, 11, 1964, 2138, 1962, 1506, 3308, 2703, 784, 821, 3626, 1308, 1097, 10, 279, 447, 4052, 931, 903, 2603, 2111, 1018, 3728, 1697, 3710, 3347, 1648, 2280, 2536, 2278, 2278, 2963, 907, 915, 957, 3599, 3773, 3613, 356, 2396, 3985, 3142, 1297, 2057, 1148, 489, 1933, 1597, 3660, 22, 3378, 493, 99, 1370, 1381, 267, 3590, 41, 9, 1113, 458, 98, 85, 1851, 262, 85, 2874, 2934, 1258, 3942, 789, 950, 2664, 1457, 1981, 1291, 88, 1037, 38, 341, 1754, 423, 1417, 327, 639, 73, 1883, 383, 1178, 1498, 202, 1398, 33, 1082, 3269, 332, 1261, 1052, 1353, 408, 2641, 1162, 1358, 1897, 791, 283, 1823, 381, 1366, 273, 3474, 778, 338, 338, 2278, 1045, 1532, 74, 3985, 1625, 174, 1439, 1416, 3042, 1794, 1616, 446, 1138, 1789, 175, 3078, 1164, 121, 2193, 72, 1417, 265, 1917, 494, 2145, 2146, 2653, 3789, 3569, 1872, 64, 34, 3335, 54, 549, 2044, 1532, 836, 3419, 512, 3588, 1028, 3572, 3509, 2561, 892, 4073, 1592, 3805, 2083, 3187, 2952, 1158, 1930, 3301, 1177, 973, 3130, 2109, 635, 3298, 815, 310, 552, 2344, 298, 1913, 1468, 3362, 3288, 287, 3564, 1132, 1223, 1674, 2245, 1417, 5, 73, 1129, 2362, 3147, 1208, 1095, 3016, 2787, 3117, 186, 1642, 91, 1616, 1382, 3034, 1773, 796, 2570, 1819, 526, 483, 2279, 1131, 1965, 417, 3595, 1803, 1973, 3840, 3434, 402, 4095, 2512, 2288, 1388, 677, 336, 574, 1534 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2991, 440, 2678, 740, 2822, 2501, 125, 525, 277, 341, 3601, 86, 1805, 6, 3350, 3371, 3370, 1622, 220, 1571, 115, 3591, 13, 5, 56, 903, 7, 8, 3013, 2138, 3818, 1622, 2115, 305, 97, 1350, 1372, 2501, 355, 3728, 181, 90, 1188, 2541, 892, 3082, 1098, 2726, 278, 470, 362, 1159, 73, 3365, 265, 1870, 1865, 1121, 1244, 1242, 714, 2875, 3293, 742, 3933, 86, 2950, 1426, 1370, 1110, 282, 2137, 1373, 2054, 855, 945, 1061, 4003, 617, 1108, 3449, 5, 71, 458, 1710, 3082, 261, 2053, 29, 1927, 3114, 1927, 813, 1117, 709, 1798, 1151, 2905, 1438, 1505, 1289, 1666, 1210, 346, 1788, 342, 1494, 538, 1741, 3930, 1542, 58, 2272, 234, 981, 1366, 1969, 646, 1381, 4001, 1554, 1434, 2100, 637, 3706, 1539, 2394, 1370, 1402, 281, 3142, 3879, 1541, 890, 1190, 2555, 3089, 1063, 540, 2581, 2857, 1029, 1045, 212, 1890, 23, 35, 126, 3797, 565, 709, 525, 737, 2056, 1909, 2133, 306, 1305, 517, 709, 3298, 3077, 169, 21, 709, 1091, 5, 2750, 3228, 593, 163, 2036, 19, 3896, 3078, 3416, 1739, 676, 2977, 2598, 740, 442, 1370, 1383, 1290, 569, 3931, 515, 1289, 1077, 1366, 1305, 1493, 1357, 2786, 197, 319, 1745, 282, 340, 1930, 1578, 2214, 1930, 1221, 127, 3705, 117, 1374, 3925, 1033, 74, 2904, 3761, 3935, 2651, 597, 3918, 3722, 1366, 1711, 341, 1735, 2822, 3612, 2685, 1165, 1161, 1145, 1129, 3238, 88, 2512, 1929, 948, 3109, 3213, 1350, 3725, 518, 1589, 2589, 480, 764, 3595, 1635, 2079, 3973, 2137, 519, 3847, 930, 2490, 2490, 2382, 2378, 2378, 2394, 1700, 2700, 4010, 2047, 2557, 3907, 419, 291, 2056, 3134, 3663, 39, 1696, 2532, 2277, 1939, 2013, 3321, 2685, 3653, 3384, 2691, 2188, 2868, 3057, 3938, 3725, 3435, 1262, 933, 2057, 3581, 639, 1929, 42, 3989, 2858, 1375, 3455, 3690, 3226, 1930, 3078, 2941, 359, 2540, 2538, 2540, 2288, 2860, 2540, 2540, 2540, 3048, 1068, 2085, 2081, 2913, 486, 2534, 2499, 963, 3987, 135, 139, 443, 2012, 2170, 122, 574, 3626, 3626, 3598, 2930, 2930, 2930, 2165, 1851, 3790, 1998, 2823, 2814, 2404, 2458, 2643, 1939, 174, 1630, 1626, 1392, 2991, 2429, 607, 547, 86, 1374, 1004, 2058, 3635, 1707, 1657, 1644, 2155, 1867, 1209, 1635, 3699, 2937, 1607, 2155, 1130, 1979, 1946, 1955, 1955, 1891, 638, 3642, 3694, 2043, 1486, 3738, 1500, 345, 2114, 3573, 1834, 2008, 2987, 443, 810, 1501, 2268, 985, 2341, 1227, 3080, 3355, 1298, 381, 2499, 2138, 921, 6, 3932, 1307, 473, 1362, 1517, 2167, 3354, 1749, 13, 1245, 1179, 1042, 1210, 851, 203, 2431, 3085, 3614, 1650, 2908, 1269, 3606, 277, 2331, 1441, 2589, 1493, 3610, 1698, 3994, 3994, 3978, 3867, 3674, 4007, 3996, 3413, 3748, 1720, 612, 2791, 3414, 3955, 3417, 469, 1500, 1494, 1171, 26, 3391, 385, 1500, 1532, 1006, 1520, 1532, 1493, 1407, 358, 3451, 4005, 899, 3164, 1482, 3514, 774, 1555, 2029, 558, 1790, 3164, 2619, 3420, 3, 2, 299, 1223, 1568, 2828, 3932, 6, 613, 581, 2645, 91, 1288, 1097, 1045, 1081, 2090, 1045, 1099, 1286, 1625, 2842, 290, 1353, 2934, 2521, 92, 2256, 2074, 2404, 1545, 2950, 3848, 1378, 441, 2423, 1306 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1097, 2122, 1361, 1043, 433, 3093, 3925, 3526, 2994, 3875, 1909, 3189, 1761, 1254, 2997, 641, 175, 1509, 2933, 2175, 3772, 3084, 6, 282, 6, 349, 3575, 4024, 2650, 3697, 125, 120, 3080, 2716, 3804, 2175, 3845, 3569, 1997, 759, 1929, 890, 2293, 963, 3777, 2064, 1536, 2190, 1901, 974, 2947, 200, 3297, 741, 2967, 3003, 89, 1484, 2576, 2097, 1852, 1973, 2058, 3745, 886, 3462, 3917, 2515, 1288, 1367, 230, 1113, 1378, 1097, 1093, 1931, 3675, 2362, 386, 69, 58, 1302, 1046, 21, 3078, 70, 3227, 323, 391, 1799, 39, 350, 2450, 3644, 1848, 3553, 1092, 3452, 1785, 26, 3519, 145, 2035, 1132, 1735, 3608, 2989, 903, 2133, 75, 2733, 3597, 2403, 3466, 373, 902, 1453, 3045, 309, 113, 13, 48, 113, 3089, 497, 6, 3084, 33, 69, 309, 1575, 833, 2264, 12, 2853, 500, 4075, 240, 2282, 835, 2851, 3782, 384, 2128, 2607, 2305, 3645, 2437, 296, 1725, 2078, 979, 2575, 369, 3471, 2137, 3245, 1674, 3292, 3903, 573, 4013, 382, 3906, 3161, 602, 1663, 1958, 1562, 2650, 2072, 2181, 909, 2253, 2771, 4024, 804, 2245, 1122, 2022, 602, 1554, 3423, 1962, 2685, 1890, 2659, 1700, 2508, 3782, 4023, 2027, 2400, 2791, 1700, 2467, 1881, 1365, 2396, 3610, 1920, 2831, 4097, 352, 2687, 1030, 965, 3333, 2053, 3834, 37, 22, 3077, 1034, 3085, 2439, 2831, 2814, 3490, 2309, 879, 2913, 3995, 2205, 401, 3516, 3612, 3581, 1591, 2053, 3724, 2219, 1495, 261, 3382, 2513, 1666, 2232, 1695, 2227, 796, 99, 2475, 2032, 7, 3594, 1820, 2579, 2624, 3099, 3084, 4044, 2695, 1091, 103, 602, 2915, 348, 2403, 1444, 3548, 2186, 2605, 221, 565, 1974, 1178, 2265, 278, 3642, 2391, 1365, 1809, 1111, 13, 3611, 987, 2281, 1612, 2074, 22, 278, 3861, 1421, 261, 1098, 2444, 2715, 1546, 2570, 1690, 261, 1050, 1754, 3610, 99, 73, 341, 1477, 2061, 45, 168, 2249, 2184, 42, 97, 87, 3971, 99, 481, 1369, 455, 3654, 573, 124, 1742, 2314, 3738, 2024, 1509, 508, 774, 1889, 3814, 1388, 1137, 453, 225, 12, 326, 1199, 2557, 97, 2743, 299, 4029, 4041, 4042, 1446, 3365, 2534, 1974, 1762, 3014, 2021, 150, 1391, 365, 2243, 2091, 87, 188, 3767, 1908, 2524, 3978, 2074, 1711, 2925, 3793, 13, 961, 51, 3613, 205, 145, 3713, 3204, 3988, 3924, 3079, 2050, 3460, 3706, 4060, 1397, 18, 3493, 2170, 3877, 2759, 2036, 2985, 41, 1951, 749, 1801, 568, 3019, 990, 1342, 1371, 3706, 1661, 3569, 6, 293, 1643, 590, 2134, 1084, 328, 1305, 26, 2357, 2649, 3925, 2378, 7, 262, 1864, 1046, 3350, 346, 1229, 341, 1390, 1434, 2139, 636, 2275, 1180, 1950, 1182, 1866, 1339, 486, 3206, 1371, 2253, 3455, 1918, 1372, 2404, 3419, 2403, 2243, 1698, 1878, 1892, 4015, 1402, 1995, 732, 202, 1626, 1881, 2832, 2209, 2193, 1886, 3996, 474, 2031, 2202, 1882, 1939, 1813, 856, 1213, 1701, 945, 2379, 3568, 2698, 124, 1671, 1558, 466, 413, 1032, 334, 1300, 1747, 537, 446, 4054, 794, 161, 1260, 2509, 2198, 1501, 346, 382, 3449, 229, 586, 3093, 1593, 2514, 2145, 2458, 3413, 3405, 394, 1158, 1508, 1564, 3683, 1375, 1883, 1276, 281, 1299, 538, 30, 277, 343, 206, 90, 54 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 288, 6, 3165, 12, 4082, 904, 218, 1538, 32, 309, 355, 87, 2078, 1045, 109, 100, 14, 1169, 3708, 1051, 2637, 1734, 2117, 1547, 3747, 384, 1799, 245, 3743, 2053, 2701, 1722, 3240, 278, 1578, 2640, 150, 2355, 17, 2085, 467, 2195, 1650, 1175, 545, 1825, 15, 1908, 268, 454, 2769, 1056, 264, 1919, 2009, 2308, 223, 340, 3535, 3437, 3764, 171, 1367, 1322, 3579, 918, 2826, 1711, 1370, 1407, 3734, 647, 3748, 1322, 1352, 2138, 3595, 3870, 2912, 3201, 3396, 333, 26, 2826, 2168, 693, 3813, 2065, 2303, 1114, 2074, 2775, 3596, 1406, 4018, 1382, 242, 2096, 355, 2989, 2413, 3823, 2186, 3930, 4013, 3586, 3206, 1465, 2557, 2026, 18, 3107, 1938, 3646, 2570, 108, 2156, 1132, 1867, 895, 1793, 989, 1401, 665, 581, 2058, 1800, 2556, 2755, 285, 3964, 3492, 1444, 2852, 2714, 1151, 2528, 1301, 131, 2276, 3804, 3580, 3613, 3443, 2164, 2277, 757, 147, 914, 933, 518, 232, 2285, 594, 2889, 2375, 3475, 934, 3088, 3912, 1375, 3463, 2979, 3053, 1033, 1466, 3706, 2544, 2594, 31, 3973, 3573, 3460, 649, 104, 3142, 2053, 1157, 713, 1023, 576, 1368, 3718, 1285, 3752, 802, 3977, 933, 501, 391, 2878, 2012, 4041, 45, 841, 16, 321, 1046, 332, 1379, 278, 1526, 70, 1375, 1062, 1365, 2438, 2138, 1755, 380, 773, 3156, 2053, 97, 3334, 3094, 1326, 9, 1374, 9, 2182, 1562, 72, 1305, 855, 825, 118, 581, 2389, 394, 2102, 1112, 282, 2082, 1819, 345, 1615, 659, 1128, 1866, 1303, 1122, 1681, 2092, 921, 1434, 1493, 609, 2285, 312, 1591, 45, 518, 2695, 154, 1499, 3911, 198, 2988, 1504, 1369, 342, 1198, 2951, 1061, 261, 1013, 934, 1921, 461, 97, 1859, 2100, 3530, 1103, 3861, 2330, 96, 110, 3553, 426, 1670, 1681, 2126, 1891, 1663, 1851, 1693, 2685, 484, 2570, 3046, 675, 3493, 1739, 1295, 920, 2578, 2669, 667, 915, 915, 147, 931, 3584, 2401, 696, 457, 528, 464, 460, 2605, 2660, 2221, 365, 724, 336, 555, 3503, 845, 3420, 2640, 481, 4046, 2977, 2560, 461, 963, 980, 787, 3788, 3791, 2013, 1019, 846, 2721, 1735, 2764, 3631, 3517, 1508, 845, 3056, 460, 1852, 3677, 493, 1506, 2323, 955, 1996, 915, 915, 67, 1648, 2669, 2418, 2746, 1549, 3744, 967, 1937, 2747, 1584, 2708, 2588, 3016, 2694, 2468, 2004, 2695, 1001, 3719, 1939, 2004, 2961, 443, 3270, 3013, 660, 2237, 648, 2695, 925, 1991, 863, 135, 995, 147, 979, 915, 3491, 916, 135, 97, 4043, 1939, 3747, 979, 184, 448, 979, 3531, 3539, 964, 964, 915, 3539, 4039, 960, 959, 915, 4039, 967, 1732, 196, 931, 3795, 3783, 1724, 444, 159, 3531, 3527, 1732, 452, 147, 3531, 4051, 956, 704, 971, 3775, 904, 3027, 3515, 827, 783, 950, 1952, 659, 815, 1183, 2031, 63, 1965, 3611, 1005, 2788, 1647, 423, 2602, 1952, 2607, 3747, 2781, 3629, 2605, 3698, 2881, 2349, 2467, 1837, 4039, 3787, 2004, 2691, 3730, 1965, 495, 3613, 2336, 445, 3695, 179, 1823, 1595, 934, 2620, 2608, 1428, 2451, 1821, 3443, 2211, 1380, 880, 3087, 1552, 3169, 1069, 2755, 1804, 3596, 2535, 3308, 3312, 2657, 3458, 2572, 3263, 3747, 1805, 715, 1667, 932, 579, 1996, 700, 2249, 451 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3269, 3796, 867, 3437, 572, 2759, 3518, 2321, 642, 807, 1729, 548, 33, 1415, 2571, 1415, 1806, 2128, 43, 2093, 3791, 1600, 419, 2096, 3207, 3094, 3416, 649, 862, 800, 106, 3547, 664, 2641, 452, 3162, 3910, 1643, 922, 1743, 2153, 486, 573, 158, 3720, 105, 677, 3689, 746, 1674, 2793, 601, 3449, 873, 378, 1404, 1323, 1106, 1245, 637, 1548, 1797, 1861, 6, 45, 3158, 1544, 254, 3713, 2405, 2322, 3046, 3690, 1509, 153, 370, 3463, 1517, 328, 1475, 1066, 659, 657, 1400, 2930, 2600, 3580, 3336, 3162, 2778, 2027, 1511, 1691, 2029, 583, 2067, 2268, 681, 447, 1382, 3883, 1831, 1410, 2177, 1955, 603, 551, 3290, 2991, 1643, 602, 2543, 2182, 1551, 1420, 3216, 1917, 2983, 1535, 263, 2677, 3656, 1390, 2039, 936, 3782, 3991, 26, 1350, 69, 2290, 3908, 126, 3090, 1388, 2470, 1673, 218, 3488, 1869, 2373, 69, 3453, 2392, 1884, 612, 3140, 965, 3928, 2403, 1923, 1877, 3199, 253, 265, 228, 2104, 3340, 15, 884, 981, 453, 380, 3521, 1797, 2598, 2844, 3894, 1986, 23, 1337, 94, 1086, 1450, 1861, 2138, 3161, 990, 252, 1417, 108, 332, 2077, 1354, 262, 2037, 424, 1994, 2913, 329, 186, 1630, 353, 2284, 1298, 2650, 3138, 793, 3139, 774, 85, 349, 2330, 1581, 3422, 1061, 136, 1033, 2201, 300, 345, 3846, 30, 1865, 2090, 3400, 2389, 70, 3208, 2535, 154, 959, 1600, 544, 3398, 3461, 356, 1034, 21, 63, 2690, 3132, 548, 1854, 611, 930, 1917, 1843, 225, 3499, 3732, 29, 2373, 861, 1541, 3816, 2743, 2012, 2645, 3754, 3050, 3206, 4074, 3212, 3985, 965, 964, 17, 13, 894, 3125, 2561, 146, 1518, 3820, 2828, 1554, 2788, 2189, 133, 3645, 2181, 177, 369, 3688, 925, 7, 3269, 16, 1257, 3346, 3103, 1633, 2396, 3211, 368, 7, 2455, 1179, 2526, 2762, 1341, 12, 1487, 716, 835, 957, 197, 2415, 420, 2604, 678, 1395, 795, 2765, 1482, 31, 2237, 863, 3125, 26, 3301, 62, 3317, 3575, 4025, 1670, 456, 2351, 1178, 275, 2580, 1914, 2054, 2294, 2092, 3446, 4072, 709, 475, 663, 150, 2160, 1375, 343, 3161, 117, 3662, 2419, 3720, 2109, 3638, 3286, 1544, 10, 3192, 1509, 242, 202, 3094, 3335, 216, 1532, 521, 413, 1289, 3144, 2849, 1126, 524, 970, 3097, 1358, 1174, 1041, 1221, 1117, 22, 1058, 1320, 525, 581, 70, 1413, 1545, 157, 2792, 2642, 1277, 2195, 14, 2216, 1410, 2010, 2323, 1088, 2662, 1003, 3117, 40, 1399, 935, 1802, 1031, 2347, 1392, 1434, 1518, 1850, 1351, 1415, 1509, 1397, 1497, 262, 1494, 2245, 1469, 1030, 2077, 563, 136, 162, 3860, 4093, 1076, 43, 3104, 3856, 4060, 2535, 27, 1015, 45, 168, 3060, 79, 13, 15, 3110, 1994, 2506, 1281, 1129, 2897, 1723, 1464, 3515, 550, 1843, 80, 318, 3305, 1592, 285, 3275, 1409, 629, 135, 3065, 1658, 1510, 1912, 406, 3120, 285, 827, 383, 400, 1872, 2794, 582, 1255, 1269, 367, 2833, 1702, 824, 824, 1132, 7, 824, 151, 1132, 75, 2011, 1092, 2411, 2027, 3417, 3146, 597, 1327, 3910, 2822, 1266, 490, 2634, 100, 3290, 2358, 322, 1629, 2102, 1658, 3529, 24, 1305, 1302, 1461, 1095, 2714, 1980, 1819, 2382, 99, 2300, 359, 268, 1177, 2122, 2121 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2562, 583, 1365, 2305, 261, 3683, 1350, 1297, 3932, 1398, 716, 2106, 90, 3081, 9, 1097, 278, 74, 1357, 3609, 1118, 3141, 350, 283, 1349, 1351, 134, 1294, 3413, 389, 1873, 146, 2009, 1286, 1286, 589, 1374, 2122, 371, 193, 1378, 1381, 2392, 3209, 331, 304, 3846, 535, 290, 264, 15, 1656, 2797, 62, 3460, 2192, 499, 2490, 1512, 3610, 236, 10, 3710, 9, 1405, 2207, 531, 1939, 1292, 1500, 2524, 2540, 1500, 1891, 1500, 1516, 1142, 3424, 2524, 1500, 1496, 1516, 1372, 1259, 1535, 931, 374, 3808, 2566, 3415, 2632, 2633, 637, 3463, 1776, 3, 2, 3673, 1734, 1448, 364, 2990, 3353, 251, 1418, 2003, 159, 1731, 3412, 1989, 1542, 287, 795, 1616, 804, 3699, 2045, 3674, 3849, 3919, 3565, 288, 418, 794, 1343, 69, 1130, 1127, 1357, 361, 992, 1353, 2578, 409, 3873, 1400, 2556, 1635, 2890, 1772, 2576, 2617, 3684, 104, 1874, 116, 3648, 3171, 1002, 2039, 3757, 3584, 84, 2093, 3041, 1122, 3082, 1169, 3685, 1292, 3882, 3629, 368, 3191, 361, 1401, 3932, 2814, 1818, 3986, 1389, 3339, 1629, 3702, 2022, 1042, 1997, 429, 931, 3629, 3757, 3197, 2618, 3693, 1179, 1876, 1901, 2130, 2598, 2966, 219, 2065, 1594, 1625, 923, 1478, 2311, 1145, 1881, 3449, 1701, 615, 1531, 2451, 2029, 1440, 2051, 401, 1629, 1592, 472, 1680, 2703, 4021, 1931, 790, 798, 280, 1680, 2706, 922, 99, 285, 2304, 1115, 651, 1538, 1764, 1100, 1703, 917, 1526, 374, 1393, 1610, 1164, 1956, 1065, 1097, 678, 2519, 1099, 2350, 1505, 2613, 558, 3443, 3421, 3422, 3955, 2069, 3416, 2309, 2659, 2325, 1962, 2143, 1869, 3148, 3042, 2326, 3766, 941, 1393, 4082, 3981, 3048, 2663, 952, 606, 1294, 566, 137, 327, 1381, 1383, 99, 597, 1525, 1478, 3921, 91, 2117, 2074, 2542, 3702, 1305, 3616, 2764, 276, 599, 377, 3935, 1279, 2246, 2022, 2489, 3722, 3416, 2375, 884, 952, 2406, 1405, 2905, 101, 3093, 276, 27, 115, 1289, 5, 240, 3539, 316, 1837, 52, 2403, 3333, 303, 127, 364, 2323, 1354, 341, 282, 1298, 3413, 318, 53, 604, 342, 325, 1269, 2060, 1501, 1031, 890, 90, 473, 18, 12, 1413, 1350, 1219, 894, 1405, 1380, 2282, 3645, 2554, 1095, 1239, 1287, 930, 1205, 75, 1370, 1352, 30, 37, 199, 1365, 81, 1989, 2168, 422, 1477, 725, 261, 309, 14, 14, 3731, 51, 549, 913, 3429, 3451, 3592, 46, 1847, 2421, 229, 3335, 29, 346, 3547, 1706, 329, 133, 1034, 2371, 1158, 3309, 2436, 2659, 3874, 3629, 3505, 3875, 2207, 1838, 3851, 2407, 2026, 3045, 2483, 2993, 4010, 2141, 222, 2964, 130, 3101, 4081, 1921, 3238, 3152, 3997, 61, 121, 934, 1418, 1069, 3274, 265, 139, 2054, 287, 2196, 2533, 2970, 3269, 647, 3276, 2539, 163, 127, 1312, 2258, 2908, 18, 3731, 3318, 1413, 807, 3525, 1964, 949, 456, 246, 2550, 1161, 1459, 201, 3019, 392, 2248, 2344, 1768, 1391, 3722, 1215, 3130, 2288, 2290, 914, 1534, 3317, 3768, 3190, 757, 3752, 3653, 206, 3637, 558, 3694, 3711, 3589, 2683, 2335, 648, 18, 3775, 649, 3287, 3560, 504, 3325, 3575, 131, 636, 3275, 3079, 3308, 392, 2874, 1887, 3573, 639, 111, 118, 1695, 3235, 543, 3318, 578, 1087, 1049, 3673 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3502, 2838, 342, 2406, 265, 598, 2010, 74, 1865, 675, 1175, 293, 3879, 96, 1362, 1226, 1036, 22, 3797, 1050, 197, 2316, 3669, 73, 420, 1180, 1187, 1539, 666, 3274, 464, 2861, 1752, 2515, 3133, 203, 2241, 1677, 1515, 2207, 3816, 1040, 3295, 1763, 1824, 251, 1939, 813, 1667, 210, 1507, 2463, 1789, 1789, 2604, 220, 3229, 1618, 2623, 1807, 1979, 1717, 2319, 3183, 3623, 3539, 911, 1512, 1580, 3308, 3284, 402, 2016, 1990, 3548, 241, 743, 2255, 2083, 3105, 1784, 2976, 16, 3903, 1539, 497, 2271, 2251, 2440, 1261, 1757, 2800, 3535, 36, 2211, 1500, 3868, 2271, 989, 3023, 353, 2595, 3616, 1484, 2472, 3621, 1954, 3359, 2957, 1752, 3626, 796, 2591, 2004, 3537, 164, 2031, 1825, 1827, 3239, 1520, 2556, 35, 1916, 1946, 3638, 2604, 3189, 2604, 3779, 672, 3727, 753, 3384, 3232, 3763, 1931, 575, 668, 1503, 653, 2304, 892, 1700, 1537, 1990, 1740, 3483, 562, 1775, 894, 1785, 1684, 669, 675, 1703, 3988, 1182, 3227, 931, 1729, 1793, 1489, 1440, 3987, 3335, 831, 3676, 3475, 610, 3695, 1378, 540, 1232, 3327, 916, 2881, 1331, 3877, 2330, 859, 2062, 1583, 1024, 1949, 207, 1885, 220, 1146, 1259, 298, 1821, 1704, 283, 666, 3171, 758, 2723, 1695, 1751, 1994, 225, 673, 1532, 3995, 248, 1532, 3660, 200, 2189, 1756, 2462, 2775, 1858, 3397, 3763, 3747, 864, 880, 1226, 233, 1373, 1674, 1447, 3161, 2438, 3420, 352, 2550, 408, 3379, 153, 2893, 2311, 4025, 2629, 890, 3912, 2137, 1573, 3971, 942, 2845, 1111, 13, 278, 89, 1365, 1030, 1030, 343, 278, 56, 3669, 278, 3530, 1046, 328, 2437, 277, 69, 1046, 2006, 1541, 1674, 3145, 356, 1319, 1296, 1315, 2393, 188, 1045, 1303, 298, 3849, 3347, 1049, 1238, 1086, 1047, 3414, 106, 1177, 2652, 38, 1392, 1310, 2499, 2274, 3250, 1743, 749, 824, 2891, 3231, 2725, 21, 453, 1159, 2684, 2693, 2194, 1435, 1755, 1691, 2138, 3419, 549, 225, 5, 22, 2501, 229, 2256, 2890, 2767, 3173, 581, 1389, 2327, 845, 1094, 2182, 1845, 1733, 689, 2797, 2835, 3817, 87, 743, 300, 63, 40, 3017, 3625, 3615, 1161, 1105, 2897, 1097, 3468, 3816, 75, 943, 3301, 898, 3901, 4035, 4035, 904, 2195, 3191, 1676, 2748, 55, 103, 3772, 901, 993, 3389, 2178, 3647, 1225, 435, 2070, 551, 555, 555, 679, 812, 2184, 3116, 455, 2508, 511, 184, 1027, 413, 3802, 2807, 4024, 139, 1416, 2044, 3983, 320, 3949, 3015, 764, 1120, 4069, 726, 2908, 1580, 3162, 2694, 1686, 2774, 3645, 2748, 3528, 1452, 735, 1947, 2159, 122, 3180, 2307, 3723, 1884, 3209, 2504, 3205, 2016, 3756, 1206, 3571, 650, 2540, 1673, 2079, 2540, 4021, 2759, 184, 877, 2502, 3816, 3776, 460, 1990, 3237, 248, 1157, 22, 2359, 3739, 1208, 231, 247, 664, 860, 3594, 2914, 2121, 1686, 3686, 384, 3798, 1306, 534, 893, 903, 1678, 2160, 207, 1187, 2093, 519, 2077, 1547, 655, 3341, 2263, 2152, 1298, 3869, 2614, 2074, 2085, 2909, 492, 314, 2140, 3589, 3247, 3570, 1433, 1862, 1905, 1738, 3265, 1054, 3930, 1118, 2139, 1390, 2671, 1157, 1292, 262, 3106, 386, 121, 345, 44, 1567, 3434, 1086, 1089, 1034, 1338, 98, 1353, 1213, 1817, 2394, 1845, 2348, 2876 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3007, 447, 447, 346, 1495, 1825, 1369, 951, 1150, 3712, 2815, 332, 1804, 1342, 90, 1021, 3741, 1738, 2917, 2587, 3808, 1624, 1131, 2073, 1987, 363, 2597, 1188, 2119, 10, 2578, 96, 102, 1863, 866, 3411, 1484, 1308, 45, 2057, 49, 330, 3113, 2157, 1770, 1914, 1695, 2936, 2913, 3693, 2978, 1665, 35, 3507, 347, 1931, 1853, 3638, 1622, 1970, 3683, 3645, 3190, 2605, 1886, 2660, 1873, 419, 3187, 906, 2963, 843, 1719, 2661, 2967, 2177, 2590, 1923, 3801, 3196, 2651, 3813, 910, 1959, 622, 2181, 1919, 3814, 2820, 620, 626, 3151, 1394, 3807, 1437, 1910, 353, 3227, 3936, 2530, 558, 1891, 928, 3220, 2129, 1823, 3816, 2932, 2146, 1149, 1663, 3650, 3790, 2621, 3172, 2756, 2131, 1636, 2182, 3891, 982, 763, 1591, 2662, 3710, 3606, 4078, 2621, 3792, 3426, 787, 2242, 3973, 1475, 625, 4066, 3517, 2475, 3514, 1444, 2221, 3598, 1944, 36, 318, 1646, 4013, 3182, 3428, 2510, 2926, 2329, 2897, 2414, 2689, 26, 1017, 1302, 341, 1325, 1253, 629, 2020, 2010, 1370, 1370, 3585, 364, 1161, 1610, 456, 3098, 1356, 1029, 4062, 230, 261, 519, 1946, 2012, 853, 3338, 1874, 258, 966, 1162, 474, 614, 1178, 60, 3082, 1390, 1050, 3658, 202, 409, 1771, 3225, 3126, 3141, 453, 3337, 1378, 3120, 154, 2036, 1578, 418, 1338, 1242, 1350, 3653, 74, 67, 3657, 70, 405, 120, 1800, 1348, 141, 1355, 1118, 789, 164, 2649, 32, 603, 1306, 3905, 3721, 113, 4028, 1517, 1631, 2074, 1112, 1989, 341, 23, 2569, 3172, 3260, 2670, 1393, 3561, 1583, 645, 2053, 1239, 141, 133, 2978, 2822, 3418, 3414, 4036, 3108, 3901, 3356, 1628, 2435, 1944, 3597, 2219, 3313, 911, 2082, 3166, 789, 3159, 4008, 1000, 3623, 1508, 2614, 14, 2182, 2476, 2931, 1974, 3652, 1980, 2860, 3995, 3018, 897, 2490, 3691, 2884, 3963, 2107, 3565, 892, 3499, 2266, 3581, 1718, 3510, 3500, 2280, 2411, 10, 3813, 3883, 1981, 2176, 1477, 3516, 3114, 1511, 2092, 317, 3627, 3638, 3674, 2279, 2092, 4068, 2059, 2631, 3979, 2463, 845, 3769, 3370, 3715, 2251, 2523, 3707, 2250, 3533, 2955, 2548, 680, 1255, 205, 960, 3606, 2162, 2435, 651, 3615, 422, 3777, 3922, 3970, 3969, 451, 3206, 3791, 3005, 2062, 2284, 3851, 38, 2915, 2022, 2932, 3274, 2100, 3726, 2060, 3812, 933, 1477, 1546, 141, 419, 3267, 3986, 3645, 3508, 2925, 3839, 237, 716, 3641, 493, 3832, 912, 365, 1392, 4074, 1734, 1988, 540, 62, 3711, 3080, 2546, 4043, 943, 19, 1536, 1742, 2595, 2725, 2331, 1120, 19, 1134, 3608, 1030, 1818, 9, 1315, 3227, 1350, 1049, 6, 351, 1350, 490, 2838, 1362, 3173, 69, 1098, 89, 289, 335, 1370, 389, 413, 858, 354, 3351, 909, 214, 1288, 837, 1298, 90, 1032, 364, 2594, 3162, 997, 1753, 2188, 8, 380, 5, 2124, 1441, 2106, 9, 265, 421, 470, 905, 1685, 2712, 277, 2341, 2347, 860, 1238, 1406, 1503, 370, 1338, 73, 1134, 1566, 291, 1115, 3041, 2272, 941, 221, 2248, 2029, 2504, 576, 1389, 2001, 1121, 606, 3681, 494, 3616, 1901, 3202, 798, 1660, 1446, 1940, 3742, 3185, 2029, 3046, 822, 1830, 2483, 1892, 2621, 3812, 546, 900, 3602, 819, 3709, 3440, 4042, 2758, 1648, 498, 1135, 2980, 2586 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2659, 1808, 694, 3591, 3881, 1661, 2970, 3154, 3785, 1801, 3852, 3187, 3909, 2059, 2276, 3558, 815, 861, 114, 767, 1995, 1939, 2062, 2925, 2065, 2982, 372, 2067, 829, 3150, 2427, 3537, 1981, 2792, 1348, 3715, 612, 2275, 1645, 1486, 1140, 566, 2597, 622, 2288, 2130, 1901, 113, 1650, 782, 1136, 917, 2084, 2770, 3264, 1041, 292, 481, 2816, 2032, 1901, 1003, 3116, 3669, 546, 3646, 1090, 2894, 1553, 1829, 1688, 2000, 2032, 2072, 2608, 109, 498, 1648, 2662, 3025, 1597, 2362, 1674, 1648, 512, 1974, 2021, 509, 3685, 2032, 730, 2621, 2302, 1911, 711, 2003, 1655, 956, 621, 3715, 3922, 2186, 3145, 3678, 2981, 2531, 2605, 1304, 2648, 2627, 3683, 36, 547, 925, 2762, 2871, 2245, 1917, 2571, 3712, 877, 886, 742, 571, 2786, 1171, 2569, 3897, 1406, 3700, 2602, 2068, 2962, 1578, 2846, 2655, 3566, 3178, 2535, 2160, 162, 813, 3787, 2082, 627, 2227, 2012, 1191, 2789, 2153, 2966, 2568, 1555, 2001, 2250, 3095, 1941, 3174, 3052, 764, 2272, 3684, 1995, 2950, 3998, 3110, 2003, 3214, 1974, 3797, 2154, 1934, 2659, 351, 784, 3783, 3045, 2868, 2650, 2949, 2343, 865, 3046, 2606, 1998, 2685, 4077, 3441, 194, 3192, 2690, 1637, 2009, 2392, 1786, 1648, 2784, 1629, 3693, 2691, 2020, 1982, 1604, 3710, 3710, 1660, 3271, 3581, 1000, 2083, 1332, 3486, 3428, 3558, 3026, 2982, 1064, 2536, 355, 3576, 957, 988, 2267, 2312, 3081, 1158, 1225, 3, 2, 4076, 2429, 653, 4035, 730, 903, 3618, 2099, 147, 135, 139, 267, 440, 1856, 2258, 4100, 3642, 2396, 1049, 552, 112, 2416, 3597, 3719, 277, 1170, 2101, 6, 3548, 83, 2118, 283, 1093, 9, 1816, 165, 2409, 2852, 1949, 30, 1930, 1428, 530, 245, 3546, 2165, 262, 2389, 3146, 534, 278, 277, 2373, 605, 1067, 203, 2430, 517, 2143, 1110, 1663, 2789, 1506, 3811, 3568, 3645, 3597, 1549, 3646, 675, 3212, 951, 467, 3212, 951, 515, 140, 903, 482, 2764, 2905, 3842, 4015, 3709, 473, 1864, 2491, 1975, 411, 1260, 2557, 547, 673, 3728, 780, 710, 3208, 547, 49, 3464, 511, 788, 3108, 2180, 3638, 65, 3205, 3893, 248, 528, 805, 3895, 3447, 860, 4012, 3516, 3720, 477, 2395, 340, 2284, 3219, 2814, 4003, 1970, 3359, 1926, 3454, 868, 1524, 2540, 1412, 460, 2180, 2220, 1510, 4035, 3417, 3160, 1774, 3338, 853, 1062, 3976, 3618, 2310, 1938, 2999, 389, 1509, 3838, 3610, 1827, 486, 1398, 1826, 1943, 3071, 915, 915, 39, 2088, 2907, 883, 2759, 122, 486, 282, 97, 1082, 1363, 545, 1034, 1289, 1506, 3985, 3854, 1943, 1655, 517, 211, 2209, 1939, 903, 963, 915, 903, 391, 147, 360, 2606, 3390, 4093, 533, 3767, 262, 2585, 240, 2181, 1445, 3334, 1032, 2265, 157, 374, 1464, 744, 2277, 2261, 3320, 2280, 2088, 2088, 2088, 2088, 2072, 2088, 2292, 2285, 2087, 2499, 134, 6, 37, 2576, 8, 3332, 5, 421, 629, 501, 3701, 504, 680, 1006, 3035, 69, 1369, 1768, 2112, 892, 1904, 1924, 2565, 3852, 2913, 1249, 136, 903, 3987, 963, 147, 903, 1001, 717, 695, 933, 2088, 240, 2141, 1010, 1869, 141, 1161, 525, 573, 3597, 13, 3597, 525, 3597, 525, 3597, 1549, 3725, 3645, 553, 2058, 1400, 93, 3717, 7, 2053 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 217, 258, 1189, 8, 3943, 135, 248, 2791, 462, 2124, 2621, 569, 587, 1994, 1373, 3818, 1348, 1295, 1635, 28, 2401, 1299, 1912, 925, 629, 1084, 887, 1835, 631, 1228, 3592, 966, 501, 3809, 1891, 2295, 1356, 3225, 415, 1941, 1025, 774, 3453, 3672, 968, 2197, 630, 3972, 3142, 1916, 3080, 1614, 1917, 857, 2557, 1099, 381, 5, 5, 1258, 1130, 1383, 91, 2578, 96, 3269, 3080, 308, 118, 1107, 2087, 1124, 2989, 740, 3980, 1038, 1405, 3270, 3610, 309, 458, 1045, 34, 1302, 1286, 304, 1230, 1058, 1175, 1882, 2407, 91, 1407, 650, 1074, 3941, 868, 2566, 343, 3019, 2283, 1363, 1419, 283, 3837, 2704, 2178, 1377, 1263, 163, 525, 2235, 2730, 1434, 1189, 2140, 3987, 355, 2137, 631, 2567, 2981, 2533, 125, 35, 151, 1959, 1507, 191, 915, 903, 133, 603, 1667, 2101, 1920, 2284, 2277, 2268, 2792, 1509, 2280, 2088, 2085, 1696, 2172, 4041, 197, 1948, 1007, 33, 3077, 5, 129, 12, 5, 69, 261, 3217, 80, 3053, 3154, 2696, 1631, 3483, 1247, 861, 234, 1531, 2205, 870, 1572, 2076, 65, 3330, 1044, 4005, 1012, 4057, 1025, 3853, 3631, 3776, 1905, 1477, 342, 3175, 90, 3925, 1930, 1468, 1404, 2593, 1325, 122, 359, 3693, 2510, 2988, 3874, 3426, 3442, 552, 53, 289, 3169, 377, 3869, 285, 305, 1292, 21, 1368, 3994, 153, 1406, 601, 1086, 93, 943, 1382, 1526, 490, 1349, 889, 1691, 1302, 1498, 2057, 2504, 2650, 2056, 1898, 2572, 1643, 3290, 1350, 3961, 1916, 1916, 1916, 826, 1692, 3475, 101, 1957, 131, 3843, 3612, 2860, 2384, 3399, 1037, 1445, 747, 2071, 3301, 519, 3713, 1925, 2982, 4035, 2906, 2627, 2813, 1298, 1427, 2962, 1376, 3881, 875, 3162, 2043, 1602, 2483, 2017, 557, 274, 934, 3653, 2024, 866, 2214, 2637, 2826, 2555, 325, 3605, 893, 25, 1354, 2844, 2434, 603, 3183, 1357, 2266, 1925, 1525, 339, 1062, 1405, 373, 525, 3971, 174, 4009, 293, 1674, 1792, 3838, 2024, 2544, 1037, 2139, 1952, 1385, 3578, 3458, 1910, 1891, 1954, 1907, 351, 3420, 2540, 2348, 2796, 2524, 2477, 1372, 4057, 4035, 2024, 3800, 3171, 2964, 831, 4073, 482, 2425, 355, 511, 354, 3077, 885, 218, 1498, 2138, 1962, 347, 1535, 3776, 115, 1958, 1954, 1955, 1955, 1971, 1370, 3797, 332, 3046, 1367, 2915, 3044, 13, 3389, 2381, 927, 1367, 4019, 2510, 3703, 2056, 3069, 61, 3459, 3674, 2442, 2054, 871, 2053, 3760, 9, 3589, 2368, 81, 3717, 35, 2101, 120, 2090, 1356, 3404, 384, 1506, 2540, 2544, 2545, 489, 76, 2596, 12, 3573, 36, 35, 2060, 1708, 2733, 2280, 2790, 2654, 635, 2236, 4025, 1853, 484, 2440, 1516, 2524, 2538, 1575, 522, 953, 1891, 410, 3556, 3548, 2218, 2990, 2650, 1774, 2547, 2158, 2685, 915, 1033, 3079, 1939, 479, 454, 2175, 2254, 1083, 1122, 1955, 1971, 1890, 2913, 2182, 2088, 232, 2280, 2277, 2280, 2088, 2277, 2280, 2092, 232, 2086, 3320, 2088, 2076, 356, 2573, 1220, 2540, 383, 943, 1834, 3931, 1399, 1057, 1157, 2853, 2277, 2088, 1063, 840, 915, 903, 167, 381, 3048, 2277, 2170, 3767, 755, 1568, 1341, 497, 711, 609, 3162, 2493, 3546, 1152, 2046, 2794, 3852, 2648, 537, 1865, 3542, 1452, 826, 1395, 2918, 1892, 1123 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1180, 3850, 1666, 382, 3626, 3081, 1395, 1950, 1260, 459, 1406, 476, 2542, 3658, 1146, 362, 390, 1891, 232, 2086, 1512, 2544, 1404, 1379, 819, 35, 88, 1302, 3155, 1328, 2369, 492, 1482, 1807, 31, 3719, 3170, 1889, 2204, 3669, 2549, 998, 1798, 1911, 3991, 2974, 3085, 2091, 1791, 69, 2953, 1098, 262, 1766, 279, 49, 11, 3318, 2469, 527, 3215, 1888, 2795, 75, 17, 3634, 3237, 3709, 541, 1772, 2597, 3045, 2170, 1402, 2431, 3552, 962, 2088, 3269, 1161, 1285, 261, 5, 1351, 31, 3079, 915, 371, 2425, 269, 1051, 563, 1904, 581, 45, 5, 1026, 3581, 3012, 3024, 915, 714, 2762, 3540, 2545, 1520, 3842, 1064, 2837, 438, 2047, 68, 3597, 3971, 2181, 272, 2474, 3413, 773, 3125, 8, 1509, 3077, 233, 999, 15, 259, 259, 1029, 1550, 3930, 2952, 3604, 914, 2053, 1157, 901, 2562, 2520, 3717, 2821, 965, 2265, 48, 2825, 72, 389, 3756, 2501, 1381, 798, 1031, 65, 997, 69, 245, 3813, 256, 3004, 2094, 1846, 89, 450, 1658, 1848, 2061, 2301, 3213, 2197, 328, 197, 268, 2070, 278, 278, 3350, 290, 534, 2338, 3606, 21, 245, 149, 653, 2183, 1976, 3045, 125, 2929, 1827, 2848, 933, 125, 3773, 134, 1800, 2138, 2949, 189, 381, 3109, 3313, 242, 1829, 1252, 2869, 134, 3804, 1798, 1785, 2189, 3269, 34, 2906, 1062, 1045, 2185, 353, 1043, 486, 1356, 6, 3707, 2966, 3894, 2791, 9, 2106, 2565, 85, 457, 3413, 75, 92, 549, 3078, 1609, 1833, 149, 986, 1130, 1477, 778, 2409, 1117, 1366, 1449, 277, 1502, 1114, 2382, 1114, 2539, 597, 3821, 218, 651, 1122, 1354, 1221, 3179, 3106, 1597, 2954, 1647, 2572, 1376, 122, 1453, 2138, 3727, 1695, 2715, 1535, 721, 1404, 2061, 3140, 861, 296, 228, 351, 1891, 1739, 903, 1435, 1421, 3139, 1629, 3902, 332, 1105, 3084, 894, 3302, 2150, 2277, 556, 262, 1116, 566, 1098, 1978, 3114, 2047, 3577, 776, 768, 3597, 1289, 16, 781, 2174, 3267, 286, 2300, 3973, 56, 4096, 1383, 1028, 3972, 3970, 1928, 3621, 3560, 2597, 3446, 3325, 189, 3089, 645, 34, 3176, 197, 4037, 341, 303, 1581, 1406, 1592, 3093, 70, 1286, 1225, 266, 1939, 2125, 3590, 533, 69, 610, 1613, 1033, 10, 5, 25, 91, 1573, 362, 1568, 1042, 1506, 3784, 1306, 1123, 1121, 3846, 1418, 1380, 2543, 1664, 781, 1353, 3681, 300, 2687, 1380, 2116, 1116, 2087, 8, 230, 621, 1891, 929, 3269, 3684, 3952, 2535, 1379, 2915, 1607, 33, 3805, 1898, 1968, 1765, 133, 1656, 2074, 1356, 262, 143, 3052, 1026, 24, 516, 3276, 2268, 3324, 3956, 3929, 2893, 1029, 2125, 1161, 2125, 137, 2125, 596, 2257, 2521, 1113, 3544, 3759, 4072, 1296, 3603, 20, 515, 4100, 772, 1530, 3925, 194, 4088, 3045, 575, 3987, 1507, 37, 518, 2994, 794, 345, 3557, 238, 1063, 581, 1515, 998, 3812, 3399, 2155, 1923, 1409, 3495, 977, 2488, 2115, 3183, 384, 168, 3332, 2278, 438, 3584, 453, 78, 3994, 2099, 3910, 1032, 454, 2926, 2946, 2663, 171, 1151, 2923, 627, 553, 3670, 2479, 1651, 1643, 1643, 1643, 1591, 1004, 219, 3095, 25, 1947, 340, 2614, 191, 2614, 2115, 1991, 278, 2573, 77, 1534, 3252, 2069, 3984, 1145, 1868, 1145, 2617 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1868, 374, 1059, 1365, 2171, 2963, 28, 3108, 129, 757, 2022, 1990, 3568, 3785, 4036, 18, 2878, 194, 2356, 781, 351, 672, 345, 149, 1814, 1472, 1881, 410, 1317, 483, 2146, 1053, 1793, 264, 3324, 1501, 1601, 316, 33, 146, 1677, 384, 1094, 1701, 1549, 286, 3030, 1991, 266, 17, 1178, 1836, 3597, 1145, 49, 153, 377, 63, 3087, 3459, 1561, 363, 352, 246, 2794, 2767, 10, 1498, 1123, 3456, 1370, 1369, 1358, 1114, 1366, 2285, 3709, 226, 1628, 27, 3826, 3717, 69, 1384, 2389, 949, 5, 37, 197, 728, 3128, 4077, 2522, 1114, 2744, 3194, 675, 1834, 2522, 3034, 2526, 2906, 90, 1155, 1731, 3855, 2427, 1286, 3803, 1885, 1382, 1970, 2024, 2518, 3514, 1754, 1889, 2693, 1386, 177, 794, 2333, 3256, 2691, 2248, 1930, 1034, 3087, 2396, 3775, 4057, 2734, 1146, 1298, 2364, 58, 1636, 3004, 590, 1856, 1282, 817, 197, 258, 53, 888, 1452, 3731, 1884, 3655, 1861, 1103, 3412, 1433, 671, 2736, 3269, 3451, 2656, 2134, 1928, 390, 2845, 568, 3084, 54, 3958, 3158, 1498, 2710, 83, 2315, 3553, 1202, 2552, 58, 90, 1299, 3932, 1924, 3782, 3597, 3194, 1680, 859, 3449, 2442, 2057, 1093, 1413, 1093, 312, 2421, 3691, 1029, 262, 266, 1342, 2450, 22, 2200, 1510, 1353, 286, 3562, 1441, 2422, 3846, 2166, 1704, 3671, 2566, 1161, 1334, 1221, 8, 135, 2483, 3688, 351, 3608, 157, 2685, 709, 997, 1809, 3269, 326, 402, 1512, 3077, 1809, 1797, 2021, 2457, 1289, 3206, 2077, 3842, 1719, 20, 2765, 3722, 3580, 2008, 2111, 3178, 4008, 2075, 422, 3885, 1865, 3294, 295, 2829, 2577, 1060, 2604, 1155, 2723, 1661, 328, 3045, 1426, 1589, 1733, 1525, 1509, 2037, 2021, 2045, 509, 131, 2084, 228, 2815, 806, 4071, 2068, 2700, 3572, 869, 3557, 554, 3791, 1896, 2925, 3838, 903, 131, 2410, 3674, 2795, 1973, 374, 1038, 2141, 1057, 2100, 2280, 3429, 1073, 3433, 3115, 1062, 1482, 1883, 2650, 2285, 3101, 1029, 1766, 294, 986, 3738, 1112, 3914, 25, 1037, 165, 3337, 389, 1288, 1352, 341, 3426, 3137, 278, 1446, 1372, 645, 278, 292, 1371, 351, 2283, 603, 236, 1303, 1736, 2257, 3358, 2683, 146, 2076, 2025, 455, 1060, 554, 2179, 2056, 2111, 3285, 29, 2411, 1387, 1372, 2428, 3733, 3, 2, 3973, 3496, 1993, 181, 3624, 802, 3983, 1955, 703, 835, 2106, 1699, 60, 3821, 3116, 2428, 2427, 2239, 2744, 3095, 2520, 1146, 1314, 1353, 1878, 1010, 481, 118, 1110, 246, 1901, 135, 1072, 354, 550, 2657, 997, 853, 4074, 3292, 3858, 449, 1330, 2029, 867, 3007, 784, 721, 942, 3694, 2037, 1973, 1811, 113, 2339, 2658, 958, 3180, 2801, 1662, 1989, 2670, 3630, 3637, 1854, 1587, 3697, 1272, 2604, 2778, 2025, 2024, 2501, 2995, 2589, 1810, 2593, 3848, 597, 3947, 2659, 2167, 2227, 2227, 2406, 2989, 1880, 1358, 3413, 1818, 1031, 3161, 3416, 2405, 868, 1529, 8, 3141, 193, 2397, 2394, 522, 1350, 1398, 3405, 732, 798, 3116, 796, 3655, 3322, 3555, 2272, 3509, 461, 1462, 3354, 444, 3735, 1399, 2085, 1368, 241, 1856, 1210, 1371, 2458, 1061, 2245, 266, 265, 344, 2417, 639, 3126, 1034, 3280, 646, 2012, 637, 2060, 3490, 3346, 489, 277, 1372, 87, 23, 290, 603, 381 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 266, 4059, 224, 22, 3089, 1737, 1161, 2125, 1145, 2944, 2245, 3077, 2183, 377, 2330, 1309, 346, 278, 1365, 647, 2834, 1850, 1884, 1530, 1906, 1473, 4021, 779, 1172, 1632, 3441, 1434, 3615, 3185, 1063, 1818, 4004, 3894, 3585, 2863, 903, 462, 3870, 313, 1107, 2319, 2062, 1061, 1173, 1737, 1760, 2338, 1755, 3482, 2274, 900, 1618, 2444, 1953, 3517, 1694, 2467, 2744, 2147, 1884, 2520, 1122, 1886, 375, 3715, 2162, 1721, 88, 1453, 3418, 262, 73, 349, 1049, 1140, 3960, 3137, 1018, 2430, 3402, 3683, 2914, 1764, 1080, 3548, 3453, 3173, 600, 2380, 2652, 2524, 2332, 2524, 1368, 2395, 1563, 854, 2317, 1049, 3714, 890, 1242, 1179, 1378, 1402, 1500, 1494, 3450, 3354, 1948, 1377, 266, 1045, 1350, 1317, 3242, 2422, 2443, 3365, 2184, 2229, 959, 658, 1694, 3270, 3457, 3139, 3754, 3125, 3983, 3967, 2476, 2435, 3202, 4013, 3644, 2274, 3434, 3382, 3243, 3971, 2432, 657, 2534, 2150, 3792, 743, 3915, 3140, 321, 2230, 3731, 3266, 1895, 172, 4022, 4013, 3702, 3382, 4066, 3434, 4091, 4072, 2127, 3795, 3915, 3381, 3765, 3395, 3984, 3382, 3190, 3756, 2241, 2207, 3087, 761, 2079, 182, 3771, 3690, 3126, 2434, 2109, 3455, 2255, 3957, 1424, 2511, 682, 3730, 403, 933, 3705, 96, 1265, 230, 1210, 857, 1527, 346, 1372, 1371, 3590, 301, 535, 2873, 3069, 223, 260, 1229, 231, 824, 3389, 2624, 3629, 2808, 3720, 1520, 3784, 1267, 2247, 2044, 1436, 1680, 2607, 968, 661, 3405, 2185, 317, 708, 3801, 3546, 1726, 2954, 3655, 488, 637, 222, 2220, 2425, 2427, 2421, 3973, 3432, 940, 3940, 3129, 1654, 3258, 4005, 3455, 3821, 3137, 2869, 1708, 2474, 1990, 3830, 61, 391, 2175, 2425, 2538, 3524, 3702, 1498, 2870, 3564, 172, 2296, 2266, 2192, 2438, 4099, 3267, 874, 3895, 931, 3894, 3743, 3987, 3083, 2423, 3103, 147, 437, 426, 3750, 1406, 3335, 544, 1926, 2029, 43, 1817, 416, 570, 2781, 1772, 508, 298, 3958, 694, 3190, 302, 1505, 1878, 3875, 1814, 367, 2179, 500, 3532, 3570, 1929, 506, 713, 1210, 1218, 346, 3352, 1996, 1206, 1578, 1881, 2244, 1925, 20, 2182, 785, 319, 2067, 2060, 12, 1797, 1373, 470, 1034, 263, 2823, 2821, 547, 602, 1369, 1370, 1805, 3401, 177, 177, 13, 1934, 1370, 1397, 2279, 1157, 2009, 2055, 346, 3842, 3129, 20, 1368, 2853, 453, 2057, 13, 1933, 3410, 262, 3975, 1287, 1292, 2312, 4090, 74, 3108, 1356, 3085, 1600, 1380, 1317, 1306, 3450, 1914, 844, 2938, 3986, 1972, 1031, 2010, 1917, 8, 3525, 858, 387, 3052, 3455, 740, 2010, 32, 277, 72, 1186, 1989, 328, 1429, 2618, 922, 3079, 1081, 23, 509, 1330, 3977, 2117, 1161, 894, 1129, 342, 3403, 1233, 289, 2117, 1546, 3642, 2362, 3864, 963, 873, 2554, 1418, 3285, 796, 4086, 1929, 383, 557, 2181, 5, 3080, 97, 373, 58, 2084, 8, 2569, 1100, 3978, 1852, 3964, 904, 510, 312, 3728, 3418, 1370, 3986, 2022, 1773, 1480, 3002, 1497, 345, 3226, 2104, 2288, 2795, 1978, 946, 3578, 1034, 282, 1265, 85, 403, 349, 1485, 1018, 1314, 141, 2435, 56, 162, 3676, 2588, 1394, 1438, 1658, 2458, 2401, 71, 178, 1129, 444, 1335, 1377, 1534, 3848, 828, 234, 1386, 3053, 2285, 2257, 3768 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 917, 254, 2934, 3337, 3741, 3713, 10, 2344, 1511, 3573, 923, 2225, 1004, 914, 2898, 843, 2182, 2620, 1298, 1307, 1290, 2146, 1121, 1510, 207, 655, 551, 2245, 6, 1885, 454, 3165, 861, 618, 1500, 1367, 271, 1000, 347, 1381, 1949, 3940, 353, 1349, 5, 21, 1045, 230, 1269, 2599, 3798, 1402, 36, 3660, 3685, 1462, 1737, 374, 421, 1402, 1958, 727, 92, 1116, 1883, 1099, 573, 2055, 2821, 26, 426, 366, 3016, 1589, 3489, 705, 3045, 2502, 1948, 1800, 1450, 1776, 30, 3731, 1262, 3692, 2640, 1792, 1768, 1776, 2592, 1554, 1597, 566, 3314, 3313, 3284, 4049, 3803, 1643, 1100, 2124, 2258, 497, 96, 3281, 3765, 5, 2368, 3459, 147, 738, 3795, 3281, 4081, 3275, 3774, 1128, 1953, 3099, 198, 1548, 1773, 1466, 3605, 3317, 3356, 1191, 554, 3371, 337, 39, 1372, 1394, 1411, 2167, 2053, 1929, 1155, 2076, 1371, 343, 2714, 2882, 1393, 3059, 1385, 190, 1957, 117, 1872, 2183, 343, 356, 2057, 3767, 221, 3712, 232, 758, 879, 3416, 2362, 3411, 1226, 1617, 796, 82, 3370, 2329, 2221, 77, 1898, 2646, 1549, 28, 4054, 2401, 1117, 3417, 782, 612, 643, 1333, 155, 73, 2280, 1805, 342, 1542, 517, 645, 586, 390, 1366, 6, 18, 1797, 3292, 66, 1354, 98, 1496, 2330, 99, 1086, 326, 138, 2026, 1115, 1041, 1282, 2024, 2211, 1254, 3534, 1514, 1655, 3495, 2544, 2462, 2718, 2461, 2971, 3486, 1424, 2304, 3128, 4084, 2976, 5, 128, 1811, 3160, 263, 606, 3654, 570, 89, 1095, 1897, 2855, 1371, 251, 2777, 1573, 25, 2117, 21, 209, 3666, 1965, 1541, 209, 3797, 12, 2268, 2066, 1187, 6, 3669, 1517, 25, 195, 949, 3401, 346, 510, 2274, 3788, 116, 3930, 973, 4082, 3872, 3681, 29, 2209, 26, 2800, 644, 2869, 1525, 481, 1471, 1014, 469, 1045, 553, 413, 648, 1925, 445, 2309, 4007, 520, 3991, 69, 2069, 397, 1801, 2327, 3366, 1073, 1488, 1589, 1018, 1092, 3364, 3108, 70, 81, 774, 3271, 644, 3087, 2906, 1395, 454, 1366, 2389, 1032, 61, 3944, 17, 257, 3975, 2065, 3081, 3405, 1323, 1297, 69, 647, 1643, 1642, 2407, 551, 559, 3144, 1180, 2240, 2284, 3550, 3980, 3900, 952, 1024, 1340, 3622, 3850, 1120, 2092, 1914, 2125, 2205, 1920, 644, 3032, 134, 2076, 2611, 3417, 2328, 83, 2534, 1532, 1097, 265, 1116, 1925, 1940, 2570, 1819, 1233, 893, 363, 1397, 277, 1765, 1420, 1927, 346, 1751, 817, 3779, 2541, 626, 1942, 1929, 868, 2267, 2290, 3939, 28, 3137, 81, 2037, 54, 2624, 2026, 2413, 1374, 1444, 3355, 1036, 154, 3868, 4089, 1030, 693, 218, 3654, 751, 89, 1330, 3413, 1484, 3591, 522, 1789, 2073, 1371, 3604, 3404, 1085, 2395, 4054, 1381, 3501, 1396, 3163, 1376, 488, 1287, 3015, 1948, 1735, 293, 5, 729, 3413, 647, 695, 521, 5, 1341, 2135, 270, 565, 1619, 3604, 1842, 3097, 514, 5, 29, 509, 3920, 4071, 699, 1626, 2426, 229, 211, 2493, 121, 310, 309, 83, 521, 2653, 3446, 155, 1573, 221, 2246, 7, 1434, 1937, 401, 2835, 3004, 2446, 2033, 453, 1465, 228, 2052, 1649, 4079, 887, 1540, 453, 3709, 9, 2790, 438, 867, 1351, 2006, 1307, 4022, 2336, 283, 920, 352, 3418, 370, 3146, 1403, 3911 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1379, 1238, 21, 292, 2330, 1484, 1049, 45, 3350, 1210, 1305, 1030, 1091, 244, 3868, 230, 2070, 2838, 1369, 302, 1029, 1114, 1163, 3226, 2698, 473, 1110, 1353, 1302, 329, 1308, 2874, 2502, 1165, 58, 55, 1114, 474, 1045, 1994, 2135, 85, 1661, 2971, 1412, 25, 528, 674, 719, 1690, 1957, 588, 261, 594, 1478, 3356, 2137, 756, 1370, 99, 1626, 1367, 7, 18, 1386, 1353, 1286, 2068, 1403, 2054, 1990, 413, 1195, 3445, 442, 2566, 1693, 1735, 1866, 1083, 2021, 2389, 1372, 3722, 1379, 26, 3926, 2821, 1845, 116, 1050, 3509, 1377, 1828, 1199, 1057, 10, 3669, 386, 2053, 86, 1697, 160, 3425, 226, 1169, 1497, 3596, 1289, 903, 517, 2269, 1754, 1260, 935, 2394, 2029, 854, 1653, 34, 1376, 9, 1558, 1621, 1365, 186, 3445, 246, 115, 14, 1819, 12, 2203, 1302, 709, 102, 1308, 837, 1386, 1462, 1498, 1421, 1885, 2054, 1866, 1850, 866, 286, 3930, 2313, 1375, 1535, 1537, 1158, 1337, 922, 1915, 1369, 1406, 3362, 4062, 1865, 3029, 1394, 376, 2968, 2070, 1062, 1338, 560, 36, 3845, 2154, 744, 338, 473, 1865, 2217, 1865, 1641, 3418, 3101, 3631, 2039, 1005, 3095, 1272, 1380, 3811, 1860, 3364, 1053, 117, 3119, 1386, 1478, 1466, 3940, 568, 4057, 341, 997, 2005, 981, 201, 253, 133, 1925, 3372, 3666, 23, 2051, 2453, 588, 717, 2153, 3211, 3295, 1147, 2391, 3578, 408, 334, 1476, 1161, 1446, 3985, 1157, 535, 568, 1993, 1398, 290, 313, 1124, 1312, 1871, 3170, 3411, 3420, 2428, 3397, 808, 1303, 121, 388, 73, 3420, 1373, 1686, 1506, 3161, 1466, 2970, 1370, 3414, 1370, 1372, 2010, 3418, 3418, 341, 1370, 2425, 1269, 525, 12, 3261, 33, 1497, 1240, 1117, 1881, 2699, 1514, 1330, 1338, 150, 321, 291, 16, 1166, 1046, 346, 1410, 1402, 1329, 1378, 1174, 3438, 1137, 1654, 585, 1036, 2283, 1031, 1494, 1628, 540, 1442, 1675, 1898, 1626, 1109, 2334, 1462, 2560, 3614, 1930, 1865, 1642, 746, 1413, 1162, 1045, 2139, 1105, 74, 2067, 1858, 853, 1418, 2137, 1434, 345, 3415, 3412, 1314, 1242, 889, 2470, 278, 3188, 1890, 1241, 3913, 2153, 1868, 1181, 2238, 353, 342, 2512, 601, 3690, 2437, 1421, 1286, 1045, 1361, 2092, 1397, 1284, 3408, 3174, 1046, 470, 3492, 3368, 3877, 2161, 238, 2485, 715, 4042, 321, 1396, 113, 945, 1409, 248, 833, 45, 3406, 3078, 2053, 1185, 589, 709, 261, 527, 245, 2826, 346, 3418, 1370, 3546, 1289, 282, 1182, 1370, 3401, 1353, 282, 310, 345, 3692, 1058, 791, 121, 2274, 791, 420, 1906, 2187, 427, 472, 332, 1873, 1286, 3114, 146, 12, 1232, 741, 5, 3689, 149, 1364, 1041, 1089, 1034, 1029, 1049, 469, 24, 2006, 1370, 3346, 1382, 2389, 1366, 3418, 1378, 1352, 2392, 1098, 482, 60, 3422, 280, 1406, 2994, 1541, 373, 12, 482, 3650, 1282, 1666, 3092, 4100, 4046, 3669, 3951, 468, 3898, 4067, 2624, 3202, 1350, 1093, 2345, 1575, 997, 660, 2980, 786, 3272, 4097, 3948, 325, 1990, 1820, 3971, 1996, 2050, 1782, 1528, 3881, 2049, 2132, 76, 3132, 3298, 1530, 3937, 2884, 3045, 118, 295, 3, 2, 3338, 3348, 2286, 641, 1097, 26, 3358, 1032, 1046, 330, 1175, 1357, 2169, 1027, 329, 28, 1130, 457, 3538 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 3409, 268, 1899, 2373, 1941, 505, 1105, 21, 224, 77, 2097, 1893, 1381, 717, 2158, 1058, 3796, 685, 605, 123, 391, 3613, 1797, 1045, 535, 475, 3610, 1198, 4074, 1498, 2550, 1762, 3306, 330, 1626, 343, 268, 1133, 1684, 2674, 1390, 2428, 1926, 1318, 144, 2317, 91, 2620, 2507, 412, 4096, 1796, 3812, 1356, 1660, 1178, 3481, 1402, 1353, 2981, 538, 4035, 1366, 3796, 788, 1569, 3932, 387, 2556, 1425, 1796, 1885, 2027, 2908, 515, 45, 1030, 1244, 1027, 3860, 2134, 1628, 4077, 3078, 4097, 204, 1881, 1292, 3669, 4074, 388, 4046, 1634, 2428, 2035, 2251, 14, 1372, 36, 853, 249, 3217, 3121, 3205, 1800, 2158, 3417, 869, 780, 3671, 1221, 1913, 1182, 3345, 145, 27, 1357, 351, 2102, 2358, 338, 330, 3937, 2565, 1627, 3594, 2383, 1566, 2763, 1227, 3973, 1124, 3733, 501, 94, 341, 262, 598, 3068, 1914, 1450, 1652, 2389, 1059, 2151, 450, 241, 37, 40, 3161, 1658, 3566, 3974, 1994, 989, 3897, 2397, 1604, 3574, 3773, 2975, 629, 1426, 1904, 3169, 947, 163, 163, 3300, 164, 3203, 889, 668, 821, 1427, 2294, 3619, 3718, 1902, 3945, 1650, 2336, 1001, 3358, 2590, 3360, 2381, 1897, 2423, 251, 2426, 3996, 1426, 2010, 2462, 2454, 3298, 3554, 722, 1482, 355, 2294, 139, 141, 2514, 1858, 1320, 2543, 4045, 458, 3578, 3566, 3822, 1823, 1498, 1564, 2906, 3172, 346, 3380, 2654, 3455, 1546, 237, 2144, 1971, 1135, 1133, 2655, 352, 2539, 1790, 1882, 3146, 1308, 2528, 2082, 1498, 346, 3263, 3723, 44, 2275, 3980, 655, 1695, 1568, 1695, 1436, 431, 687, 346, 1380, 4068, 666, 1920, 3707, 76, 1546, 1452, 2603, 2028, 2539, 2395, 458, 1612, 549, 328, 1469, 1504, 1761, 3418, 2907, 3611, 475, 1963, 3164, 349, 1377, 1869, 1466, 2982, 1450, 2838, 1738, 1097, 1369, 1376, 1718, 3044, 1993, 1468, 3432, 2144, 3569, 1524, 2086, 1098, 1354, 35, 104, 2074, 1759, 1378, 3498, 1484, 3741, 2282, 3160, 98, 1347, 85, 614, 490, 3162, 2907, 2842, 1442, 91, 2836, 3418, 2394, 1953, 1514, 1920, 3998, 278, 1738, 516, 3368, 1371, 3109, 181, 1094, 69, 2895, 1098, 2788, 1033, 1117, 3672, 69, 85, 490, 538, 1404, 2262, 1349, 1306, 2714, 1945, 329, 78, 211, 285, 1093, 242, 2069, 219, 2026, 214, 1226, 326, 1673, 12, 1166, 1497, 1061, 6, 149, 936, 2539, 1295, 137, 11, 346, 1301, 534, 291, 1110, 210, 1370, 1132, 1938, 3909, 36, 1675, 2584, 1302, 1749, 3720, 2906, 794, 2508, 2250, 4001, 372, 1036, 3117, 2567, 1551, 430, 598, 338, 1422, 794, 1304, 3824, 857, 3613, 3196, 1374, 1370, 1935, 67, 2557, 92, 2058, 3091, 341, 1509, 377, 1306, 1409, 3788, 932, 2061, 15, 647, 3316, 3558, 1030, 2113, 3867, 3985, 1536, 2858, 48, 2536, 3039, 3174, 31, 1489, 3612, 3902, 484, 1375, 1857, 1492, 485, 1747, 4036, 3847, 2029, 2074, 2778, 1730, 1939, 19, 915, 3747, 925, 3165, 2394, 3827, 936, 2060, 2085, 2115, 3085, 1379, 3931, 2051, 3606, 2734, 1353, 3755, 1645, 3127, 2697, 2573, 1773, 1747, 1191, 189, 1929, 86, 1115, 2487, 1518, 3726, 1955, 2060, 1516, 2086, 1436, 2559, 3819, 626, 1939, 3420, 2124, 683, 3317, 3460, 1148, 3286, 3530, 3644, 529, 1053, 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 ]
[ 3849, 562, 854, 1093, 1049, 2053, 1132, 914, 970, 1033, 1093, 2281, 1629, 133, 1044, 1871, 519, 773, 489, 69, 1050, 3593, 2393, 1354, 22, 2118, 278, 1637, 3282, 159, 608, 78, 1874, 2821, 601, 1644, 1718, 1579, 3500, 1247, 2779, 1978, 1437, 1785, 2918, 1947, 3747, 3105, 2140, 3132, 3428, 1503, 2265, 2799, 2647, 2687, 679, 2291, 2714, 1255, 1928, 1959, 3751, 3715, 174, 2044, 1920, 1017, 1029, 204, 141, 137, 1400, 2970, 1882, 3610, 1305, 2189, 2206, 3229, 2117, 2053, 1466, 1508, 1369, 1587, 567, 145, 3598, 1695, 525, 3183, 1697, 2567, 1161, 1103, 425, 2713, 2439, 2095, 440, 2062, 3673, 385, 3510, 3962, 342, 262, 3443, 2139, 1632, 1471, 2266, 3610, 2138, 1411, 857, 98, 1010, 2172, 278, 2029, 1787, 2500, 2436, 2396, 3756, 3167, 2830, 2873, 2750, 2668, 2511, 1499, 1932, 1434, 1706, 1350, 3674, 1890, 1535, 3090, 3673, 1910, 3413, 865, 22, 4004, 2295, 325, 3554, 1329, 1922, 3245, 1096, 1974, 3434, 429, 3646, 1937, 2404, 476, 894, 1097, 2513, 3077, 3735, 261, 3289, 353, 277, 1438, 141, 332, 2941, 1237, 3592, 1033, 1371, 1302, 245, 9, 282, 6, 3946, 1114, 1623, 3611, 1293, 1370, 2081, 1036, 51, 1130, 133, 49, 2570, 1131, 372, 2938, 789, 1679, 674, 2819, 271, 94, 859, 2414, 2619, 3794, 2653, 3830, 1964, 2081, 2669, 980, 2558, 2082, 2116, 1196, 3304, 734, 2700, 1951, 1999, 2136, 2451, 1706, 3105, 16, 2296, 253, 3721, 48, 1798, 2185, 2066, 3610, 192, 2598, 2053, 5, 9, 13, 1873, 776, 3791, 833, 7, 348, 3417, 325, 3096, 49, 465, 3784, 1916, 4039, 282, 1050, 122, 932, 815, 840, 1179, 2905, 2281, 3260, 2599, 550, 3554, 3554, 4078, 2572, 1564, 2597, 528, 3597, 94, 2859, 91, 773, 1818, 183, 1722, 2045, 1798, 1928, 3132, 2769, 3366, 3198, 2736, 3501, 878, 1278, 1115, 4048, 886, 1286, 4088, 2341, 69, 5, 645, 773, 3125, 85, 3782, 3500, 3109, 237, 1427, 963, 967, 1355, 584, 2037, 108, 1526, 1371, 894, 3606, 501, 3458, 3577, 20, 206, 2539, 1122, 2688, 519, 1710, 3931, 219, 3548, 1620, 3255, 2778, 1470, 1494, 702, 1498, 1954, 1381, 3964, 2324, 1010, 231, 2061, 1373, 1358, 1522, 1365, 1588, 1288, 3148, 1591, 165, 2795, 3402, 280, 723, 2027, 2031, 1908, 1699, 2924, 3649, 1893, 2949, 1416, 1798, 3197, 2103, 899, 901, 3781, 716, 965, 1269, 833, 2100, 2277, 69, 3868, 2352, 3189, 1934, 1562, 3129, 3125, 245, 1937, 2662, 1880, 1596, 2353, 3849, 2113, 1135, 979, 3431, 2884, 2291, 2578, 2111, 2056, 3160, 184, 4066, 3820, 2268, 346, 2955, 2154, 2849, 1570, 1411, 282, 3582, 3534, 2068, 3780, 277, 1582, 1640, 3900, 218, 2801, 187, 2026, 1990, 1300, 1866, 1157, 3469, 3288, 3084, 3457, 1363, 453, 1790, 788, 1625, 1801, 1366, 1137, 541, 282, 2081, 1354, 346, 99, 1162, 1623, 547, 1386, 54, 1482, 3164, 90, 600, 2369, 1190, 157, 104, 1113, 1098, 289, 1399, 251, 790, 2385, 1641, 617, 1191, 2590, 1428, 3139, 26, 679, 410, 2860, 2373, 1079, 389, 393, 1479, 410, 792, 399, 1334, 775, 874, 1499, 2464, 300, 442, 2060, 8, 3201, 65, 1299, 3993, 4092, 1919, 2892, 2166, 2678, 3194, 1501 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1129, 3790, 3986, 2068, 1343, 49, 781, 495, 777, 1474, 3845, 2597, 320, 3375, 1062, 1376, 3679, 930, 1389, 3060, 1825, 866, 1770, 3738, 199, 1372, 200, 2796, 2536, 870, 1050, 2878, 3988, 885, 2397, 526, 1890, 2995, 2013, 4064, 2217, 1854, 2203, 3422, 495, 821, 3341, 1372, 2733, 1709, 1930, 1099, 1049, 40, 3546, 1049, 1520, 2074, 91, 2920, 1888, 2107, 2170, 3370, 1392, 186, 1882, 1699, 3741, 1036, 2740, 2602, 3981, 1367, 3305, 3125, 2585, 14, 3453, 2399, 1583, 220, 2442, 979, 351, 934, 3772, 2456, 289, 1290, 1498, 1722, 1112, 626, 6, 4007, 834, 3896, 2639, 3706, 1111, 1406, 1064, 1449, 2245, 1310, 17, 602, 1434, 2332, 1877, 1333, 3189, 490, 1349, 268, 3546, 1449, 3085, 1349, 3654, 773, 3912, 1372, 122, 330, 3418, 138, 1493, 729, 202, 885, 2901, 3454, 1818, 1629, 1289, 22, 2647, 1566, 3114, 1124, 3082, 26, 3527, 2586, 70, 1162, 2585, 1127, 2399, 1889, 2119, 2155, 176, 155, 2720, 2161, 682, 1450, 1449, 678, 1110, 2902, 3846, 42, 1401, 3304, 10, 2599, 3338, 540, 1604, 3906, 3569, 3291, 104, 1497, 1370, 2555, 2315, 90, 1805, 2119, 817, 15, 142, 1325, 1254, 1417, 2374, 2297, 265, 533, 325, 1037, 758, 4043, 3281, 199, 1366, 1391, 54, 3092, 4085, 1740, 3788, 716, 1914, 26, 2240, 1318, 1288, 2159, 136, 1639, 71, 7, 659, 1953, 2541, 2255, 4047, 3885, 3238, 648, 649, 2693, 2763, 2102, 424, 74, 3602, 1561, 1157, 2213, 1543, 438, 4065, 1284, 2977, 4093, 3450, 3901, 3916, 11, 2073, 240, 1603, 32, 4019, 146, 1889, 1013, 163, 171, 701, 2190, 1623, 1546, 781, 3078, 1736, 3084, 1918, 507, 1707, 3193, 1916, 2981, 2053, 1033, 3014, 3072, 16, 1277, 3949, 767, 714, 1519, 266, 1486, 2766, 2565, 2465, 2401, 2467, 4017, 2476, 2594, 2842, 1451, 2309, 3996, 865, 1373, 899, 2813, 636, 3626, 3084, 1498, 2399, 2459, 1533, 1435, 674, 2114, 3325, 3386, 3891, 1652, 624, 3883, 1991, 2860, 1834, 299, 2859, 3849, 2834, 3593, 784, 1605, 669, 2203, 14, 1407, 3085, 1544, 1488, 1165, 511, 374, 3529, 2091, 3299, 53, 133, 561, 174, 850, 2410, 3946, 3567, 830, 1597, 1665, 833, 900, 916, 2205, 2253, 447, 3213, 3312, 1681, 436, 884, 1659, 3259, 3515, 3483, 3459, 3971, 1414, 3452, 1757, 3741, 531, 3333, 1118, 2246, 1927, 154, 3999, 4003, 903, 938, 1533, 26, 2836, 2088, 3315, 1147, 1863, 3685, 3606, 3567, 2234, 4083, 2268, 1333, 339, 353, 921, 79, 1045, 1345, 31, 1325, 1033, 2406, 1297, 2586, 1034, 2022, 45, 1900, 2054, 217, 309, 1871, 2060, 1368, 1402, 1138, 3855, 2578, 798, 3686, 2478, 1453, 92, 1245, 2026, 626, 443, 3247, 367, 537, 3774, 698, 1561, 2757, 411, 1631, 2954, 781, 523, 3201, 2856, 2598, 2853, 1155, 2281, 1929, 3633, 1869, 2746, 2734, 3159, 2266, 2323, 830, 1614, 637, 2590, 2590, 3303, 1293, 1376, 3995, 3939, 475, 2930, 3564, 122, 3605, 264, 2961, 1575, 3591, 62, 3645, 3087, 3389, 552, 1223, 2215, 193, 2273, 2241, 2241, 2086, 2066, 3447, 1485, 1377, 717, 1365, 2682, 1256, 2290, 2771, 2875, 2195, 2387, 2616, 1336, 2757, 901, 2567, 242, 4005, 933, 3475, 3565, 1960, 1531, 3613, 1264 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 58, 3976, 4092, 3948, 3398, 4097, 1340, 4078, 836, 3989, 4096, 3318, 4100, 4094, 2053, 4095, 33, 3240, 2835, 37, 2175, 492, 2079, 3105, 2535, 3706, 1877, 1966, 1455, 2046, 241, 565, 1587, 3847, 2292, 1036, 2465, 2611, 60, 1226, 3805, 1113, 3934, 1270, 3945, 3677, 3145, 42, 10, 1109, 2054, 1669, 3095, 3547, 1573, 24, 1504, 10, 1441, 230, 1029, 89, 522, 3082, 1605, 166, 277, 3148, 1370, 3079, 1305, 1116, 3576, 158, 2518, 1352, 3970, 1045, 309, 1112, 2375, 1111, 1031, 1045, 2058, 3436, 1954, 1609, 2415, 89, 304, 3093, 945, 1078, 1017, 1605, 3529, 1119, 2082, 3626, 668, 1440, 2524, 1516, 2405, 2356, 2548, 2412, 2519, 2873, 1476, 3, 2, 3573, 72, 968, 1604, 2532, 1939, 2063, 3157, 2335, 1189, 214, 1415, 301, 3764, 3785, 1036, 2000, 3329, 2383, 4096, 1489, 764, 121, 1636, 739, 1859, 888, 542, 3910, 2778, 2195, 2853, 2331, 3499, 3371, 37, 1411, 289, 3461, 449, 321, 13, 108, 113, 353, 148, 4021, 105, 477, 2445, 371, 1328, 3973, 2609, 1374, 1536, 3141, 1803, 544, 871, 501, 3051, 1062, 1454, 32, 2649, 65, 480, 1865, 4094, 1050, 3099, 451, 3248, 1532, 3634, 2376, 3099, 1697, 2332, 2196, 352, 28, 1626, 2392, 3850, 1877, 3338, 1798, 2557, 3110, 1930, 2325, 3797, 1146, 1111, 65, 245, 1609, 2389, 3334, 267, 1878, 1633, 378, 1365, 2158, 354, 1356, 346, 3594, 1549, 3422, 1818, 147, 2081, 40, 1031, 378, 1393, 1373, 1879, 381, 308, 347, 2573, 1290, 1494, 347, 2848, 2089, 1206, 743, 3477, 1113, 1094, 3162, 1036, 2501, 1049, 9, 1478, 2569, 131, 3172, 846, 3371, 585, 1511, 595, 1671, 1265, 989, 3437, 2077, 2394, 2208, 3644, 89, 61, 1481, 2074, 2602, 18, 581, 1918, 1498, 2378, 9, 1033, 1033, 70, 70, 21, 1033, 69, 1033, 262, 21, 1033, 69, 1030, 402, 352, 3485, 773, 17, 474, 1286, 750, 3354, 1361, 1521, 1298, 2421, 3481, 882, 3114, 2870, 2421, 934, 1049, 171, 1944, 3582, 1465, 3206, 1525, 914, 1446, 1710, 910, 1685, 1889, 3336, 3915, 1832, 1735, 29, 198, 2910, 2460, 1378, 3834, 314, 3640, 2524, 2574, 1629, 4085, 294, 407, 230, 510, 3721, 74, 1309, 1049, 197, 769, 589, 1162, 4026, 517, 410, 343, 2366, 1410, 3856, 1006, 3890, 1559, 901, 1280, 3080, 1926, 1368, 3355, 298, 3718, 1900, 2195, 2598, 1812, 2574, 3093, 790, 680, 922, 1082, 3473, 474, 136, 1454, 3078, 1564, 95, 2650, 3140, 257, 95, 3320, 1818, 2624, 473, 3591, 2316, 1362, 440, 926, 3994, 2094, 3019, 1746, 1553, 661, 174, 2478, 130, 3122, 628, 570, 17, 86, 4095, 511, 12, 60, 227, 262, 1357, 2630, 1029, 3334, 3443, 1356, 2059, 732, 1833, 69, 1327, 2111, 3777, 1221, 1788, 3637, 1082, 1803, 2981, 204, 36, 2017, 1828, 2303, 2402, 1354, 2582, 410, 3729, 1390, 1111, 3674, 2906, 1706, 1745, 1909, 949, 10, 3605, 1988, 1059, 2293, 128, 2621, 261, 775, 51, 599, 693, 198, 923, 2523, 332, 13, 861, 2029, 606, 1881, 1692, 646, 1077, 2125, 1132, 902, 2198, 2254, 2451, 1080, 2598, 2443, 319, 1041, 1243, 790, 549, 3402, 1046, 285, 1478, 103, 1141, 3054, 1944, 3643, 2201, 3536, 37, 328, 956 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1205, 3191, 1926, 278, 577, 4037, 59, 1953, 1305, 1110, 278, 599, 3151, 2086, 2843, 1366, 86, 371, 1917, 4077, 1279, 3750, 794, 9, 4042, 1041, 3329, 766, 1608, 2491, 4028, 1291, 810, 107, 346, 350, 2013, 3614, 1306, 346, 1775, 1903, 1931, 1947, 1648, 2124, 2389, 528, 348, 3485, 1989, 743, 1184, 1232, 1487, 751, 643, 3088, 1376, 2147, 3045, 698, 76, 2423, 30, 1379, 2650, 4032, 2619, 3590, 5, 15, 667, 3594, 2978, 2914, 2978, 1890, 1918, 378, 3766, 3774, 3666, 3628, 33, 264, 1928, 1618, 1287, 1096, 281, 1098, 350, 3173, 198, 1398, 302, 1542, 2201, 1032, 2890, 64, 2977, 229, 1377, 9, 837, 2886, 2567, 2841, 2087, 1669, 3414, 1558, 1432, 3044, 583, 3770, 2434, 2687, 1394, 1884, 1330, 2202, 3995, 2956, 2664, 621, 153, 3262, 1342, 1640, 622, 2391, 4061, 3926, 1330, 181, 2606, 3214, 1429, 1356, 3651, 2055, 2332, 2794, 1661, 1421, 1642, 2285, 1724, 31, 2586, 2825, 2417, 3352, 1608, 929, 1313, 2609, 1051, 2916, 1378, 883, 678, 1189, 3020, 2700, 1348, 340, 833, 1789, 3134, 3969, 553, 2618, 630, 2471, 2399, 3858, 2710, 1050, 97, 2056, 3645, 2054, 3951, 3333, 1671, 1210, 1162, 1045, 278, 1352, 2394, 760, 3085, 856, 458, 261, 1542, 1302, 690, 1098, 350, 3491, 408, 977, 794, 1417, 1579, 566, 378, 229, 1084, 1706, 2219, 610, 1374, 1932, 114, 1237, 154, 1297, 290, 1177, 859, 44, 540, 3881, 881, 3512, 1490, 1776, 587, 790, 2265, 2451, 1247, 241, 3098, 1549, 1371, 1991, 438, 774, 2049, 5, 1290, 1036, 1924, 3062, 802, 1477, 37, 2506, 1053, 5, 1538, 3586, 3583, 3420, 4033, 1372, 2058, 3153, 121, 55, 1164, 3173, 2062, 1974, 3806, 1503, 2309, 1625, 1945, 409, 700, 1254, 1304, 1449, 798, 2866, 2128, 3217, 3069, 1897, 3185, 2495, 1121, 1697, 1553, 278, 298, 1097, 3521, 190, 1691, 2024, 1318, 602, 2113, 408, 1103, 345, 2455, 3285, 3061, 1029, 1357, 342, 3302, 738, 3623, 296, 1486, 3707, 633, 1977, 3080, 802, 1772, 1235, 1606, 2462, 2974, 1805, 12, 2872, 156, 3309, 2737, 6, 2940, 2053, 114, 512, 1331, 412, 1311, 2274, 2404, 2626, 2859, 2978, 1819, 1821, 777, 1093, 2390, 315, 3849, 3679, 1443, 2009, 1102, 1393, 2827, 1251, 602, 1067, 1144, 1092, 3349, 1806, 2614, 1291, 2906, 2630, 1890, 2420, 3208, 2430, 1318, 1353, 5, 341, 2375, 268, 861, 1834, 1941, 345, 1379, 110, 694, 3051, 802, 1114, 234, 480, 2627, 3090, 294, 535, 296, 1252, 3605, 3354, 3877, 3081, 2141, 278, 1498, 3346, 2146, 1322, 129, 28, 1350, 90, 850, 1034, 981, 2117, 2124, 3143, 1417, 3446, 1293, 10, 602, 1317, 337, 4035, 1346, 344, 518, 1113, 123, 262, 1285, 3077, 869, 2245, 22, 133, 1289, 267, 2652, 2921, 1582, 1397, 3258, 1529, 2258, 3373, 930, 3926, 105, 1477, 1134, 1673, 1002, 3098, 2565, 1627, 7, 1977, 402, 1510, 1134, 3713, 3361, 970, 2469, 1546, 1447, 2260, 3852, 2166, 1109, 3878, 2310, 347, 1398, 1572, 1446, 2088, 3117, 107, 2579, 2273, 1001, 2955, 2693, 277, 2303, 2476, 119, 1307, 1655, 300, 3565, 2396, 1670, 378, 1785, 405, 2053, 6, 1370, 1981, 3525, 2437, 830, 1419, 3693, 2055, 378, 2613 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1827, 1004, 3719, 282, 1380, 2066, 2083, 3417, 598, 1468, 3098, 1252, 1095, 1660, 1914, 1369, 1113, 1354, 2005, 1165, 3455, 2885, 348, 1093, 1548, 282, 1863, 3081, 2624, 1303, 1289, 330, 1050, 1353, 96, 2314, 1706, 3426, 2732, 1352, 1050, 326, 1033, 57, 3922, 144, 1565, 781, 122, 1049, 5, 90, 74, 1393, 525, 3173, 837, 2330, 34, 3195, 1545, 2396, 2608, 2693, 1500, 1502, 3480, 2398, 1128, 2248, 1105, 1797, 3909, 3045, 137, 2667, 3810, 162, 227, 618, 1882, 331, 82, 1322, 342, 2286, 3369, 1797, 3608, 2755, 865, 233, 508, 1605, 1177, 1901, 2364, 1145, 1938, 10, 3450, 282, 1490, 2830, 75, 2781, 3459, 1089, 2099, 1077, 261, 22, 3025, 82, 1339, 1354, 2393, 413, 3669, 3221, 106, 1622, 639, 2380, 1357, 1290, 2552, 3062, 2992, 2436, 284, 377, 1158, 3300, 484, 380, 2010, 1509, 2451, 315, 1434, 2404, 3234, 3654, 1146, 336, 1577, 72, 1305, 90, 3707, 1298, 2058, 3385, 1818, 4087, 3124, 364, 1718, 156, 336, 1670, 341, 923, 326, 1366, 1356, 3605, 1153, 3064, 1428, 3697, 161, 1802, 3206, 1916, 3881, 947, 1380, 2202, 765, 145, 1549, 2394, 3751, 2514, 3652, 3589, 794, 2814, 1741, 2390, 3259, 2136, 1744, 716, 3661, 2174, 3750, 1088, 3167, 2391, 1638, 1547, 1913, 2707, 4005, 4069, 2268, 1531, 3077, 2813, 17, 3709, 22, 3525, 538, 3351, 1790, 3973, 1029, 908, 2864, 3390, 3219, 3820, 8, 1986, 34, 165, 691, 661, 1149, 345, 456, 1051, 68, 1378, 2754, 3274, 2579, 349, 1381, 1410, 1646, 3425, 2573, 2656, 2109, 1189, 29, 2061, 2096, 2186, 1339, 4071, 1281, 31, 1411, 3281, 3243, 2603, 2044, 3580, 1127, 2556, 3574, 2284, 3440, 1492, 3114, 2139, 342, 1424, 2374, 3209, 2058, 1288, 349, 537, 521, 273, 3368, 3717, 85, 665, 1614, 1033, 1289, 2053, 1993, 289, 1057, 23, 1102, 3172, 4037, 345, 837, 1285, 43, 2888, 2201, 9, 3991, 1129, 10, 538, 1272, 596, 2614, 89, 1150, 3965, 2254, 2435, 373, 1489, 90, 4045, 409, 1291, 1878, 813, 1393, 1124, 2498, 1145, 360, 2524, 886, 3720, 4086, 1041, 1337, 1481, 1378, 382, 3778, 1302, 3210, 2025, 1132, 649, 2782, 3250, 264, 1324, 2245, 2138, 3417, 74, 1310, 3850, 1658, 1093, 2041, 235, 1998, 3235, 90, 2602, 517, 273, 1463, 2875, 3347, 1180, 250, 1938, 1147, 1941, 3285, 1681, 3384, 147, 1915, 403, 53, 2850, 1909, 514, 1058, 2037, 417, 3913, 3146, 293, 1124, 4041, 908, 938, 3959, 180, 3061, 1113, 2528, 1996, 2026, 1449, 129, 2085, 971, 3930, 2370, 94, 3461, 1389, 1474, 2060, 702, 3077, 278, 166, 138, 1316, 275, 2589, 2023, 630, 1382, 90, 1049, 3450, 3625, 1890, 3691, 1205, 165, 378, 2188, 3589, 1110, 4042, 2083, 603, 1366, 1098, 2488, 1178, 3672, 1857, 216, 3654, 3038, 291, 3877, 779, 1956, 2378, 1258, 1926, 966, 154, 1933, 1389, 853, 3013, 573, 1354, 83, 317, 1366, 1053, 2195, 1916, 2196, 1589, 409, 1454, 1364, 840, 531, 1368, 520, 331, 79, 298, 2756, 153, 1306, 1363, 1369, 262, 1690, 464, 2581, 2509, 2044, 1306, 1767, 3898, 1927, 1918, 121, 2128, 1121, 3004, 1219, 602, 865, 507, 584, 3747, 789, 3708, 326, 581, 796, 920, 3995, 942 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1442, 418, 1081, 1738, 3418, 1046, 1090, 2042, 3438, 2778, 2414, 3654, 1409, 462, 3358, 1014, 3281, 3785, 1320, 3225, 1393, 224, 839, 3674, 3342, 553, 3523, 274, 1372, 709, 1502, 3422, 1381, 2643, 1382, 1597, 2193, 1005, 346, 308, 1354, 3427, 367, 1389, 2505, 524, 2237, 3207, 1050, 1499, 3977, 842, 1485, 157, 1410, 36, 1886, 3674, 3303, 3545, 391, 98, 1286, 1806, 1372, 3146, 3114, 1045, 13, 6, 1052, 319, 514, 8, 3656, 1298, 1306, 337, 1548, 3453, 2266, 186, 3850, 57, 7, 381, 120, 1350, 3552, 2853, 3708, 1110, 2058, 8, 1352, 38, 119, 1287, 2311, 199, 1008, 1509, 2962, 3851, 1838, 2623, 1457, 60, 185, 997, 1596, 897, 2139, 3511, 3413, 967, 973, 2537, 404, 1098, 1349, 85, 2366, 1032, 3701, 355, 65, 387, 1386, 1147, 61, 181, 3146, 840, 2025, 3466, 839, 1432, 3271, 981, 267, 1806, 3282, 3414, 1184, 3026, 1096, 284, 2048, 354, 1269, 58, 1234, 548, 1487, 3562, 1699, 998, 322, 3579, 260, 296, 1113, 58, 3454, 3463, 1409, 1368, 2298, 685, 2874, 1968, 3789, 1709, 812, 3552, 3594, 1275, 671, 1158, 276, 2186, 1982, 3669, 1532, 123, 3877, 56, 1482, 1388, 970, 1180, 669, 1989, 3341, 809, 69, 1900, 899, 150, 325, 74, 1215, 84, 2024, 12, 3782, 602, 1302, 546, 284, 2095, 2479, 2458, 1836, 1462, 2907, 71, 918, 867, 3354, 1074, 3449, 802, 1365, 2626, 1425, 3224, 3590, 391, 330, 585, 1221, 1297, 26, 2458, 1402, 1478, 3758, 3978, 2577, 1078, 1400, 3, 2, 1100, 3191, 1337, 3337, 3938, 1589, 38, 491, 6, 1486, 185, 1464, 2338, 817, 2118, 1477, 2342, 2628, 34, 1627, 1356, 53, 3341, 1116, 3943, 34, 694, 66, 299, 2614, 3215, 22, 3130, 309, 22, 2633, 2573, 3199, 3218, 3668, 2907, 3391, 1442, 86, 1169, 2907, 325, 90, 1654, 2141, 2983, 1296, 1002, 1861, 198, 3429, 1461, 1997, 3637, 1926, 3197, 1461, 1194, 13, 3097, 453, 2573, 1321, 2263, 2614, 1474, 53, 1379, 269, 694, 3666, 40, 3619, 3904, 3370, 549, 3175, 130, 2085, 2413, 3581, 1214, 1553, 475, 613, 3957, 838, 223, 589, 3109, 3097, 767, 358, 2047, 262, 2138, 2861, 1161, 1155, 230, 1420, 3333, 950, 2129, 2588, 1559, 2331, 1612, 6, 2578, 1541, 2446, 2892, 1004, 3161, 3128, 1143, 1358, 3381, 1130, 260, 54, 166, 384, 3263, 1502, 2953, 521, 54, 2501, 523, 145, 3081, 1285, 3407, 657, 1541, 3653, 2293, 95, 1864, 3253, 3593, 3461, 293, 3317, 56, 2061, 309, 239, 59, 1141, 3451, 70, 119, 520, 22, 3417, 389, 310, 39, 226, 1305, 49, 3845, 522, 3421, 2970, 3194, 3191, 1494, 1606, 3085, 1398, 2310, 2075, 1381, 1002, 349, 63, 3852, 2117, 269, 12, 2825, 1581, 949, 2252, 1445, 1401, 1577, 117, 1349, 264, 3975, 2873, 2485, 57, 3113, 3658, 2341, 252, 266, 311, 6, 3253, 3688, 325, 3082, 1485, 27, 2166, 3182, 309, 3907, 2190, 3914, 1777, 680, 1541, 389, 794, 1110, 2031, 2252, 648, 523, 1544, 1145, 206, 1884, 34, 2085, 3717, 333, 550, 709, 621, 1293, 1484, 2576, 2621, 573, 1398, 634, 1290, 3151, 386, 2601, 2757, 1781, 3265, 120, 1149, 3405, 393, 1974, 2319, 218, 1337, 586, 2573 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2566, 18, 3653, 570, 3592, 3657, 1397, 1306, 3372, 215, 3949, 456, 731, 333, 3173, 3920, 3095, 6, 1578, 454, 3097, 1925, 1100, 2121, 3078, 2317, 1619, 3687, 2150, 2062, 1345, 521, 3089, 935, 2830, 1350, 3094, 306, 1559, 288, 3399, 18, 3172, 3210, 2009, 2582, 1422, 1123, 1414, 525, 2717, 315, 2167, 1123, 2583, 3113, 3354, 3985, 2351, 805, 1413, 3163, 840, 263, 9, 3245, 279, 153, 3255, 1182, 56, 2373, 1937, 2357, 1504, 1159, 829, 785, 473, 3077, 3589, 3830, 773, 1297, 1142, 966, 518, 91, 3097, 9, 3894, 57, 1322, 773, 3085, 3942, 217, 3141, 790, 3138, 2646, 3257, 3382, 321, 262, 3206, 271, 325, 577, 840, 37, 2057, 3366, 54, 1001, 8, 2181, 1222, 3077, 5, 4069, 1548, 2567, 2397, 1045, 153, 71, 4012, 403, 2055, 73, 520, 536, 277, 1734, 1366, 1051, 9, 2125, 1114, 1434, 358, 1285, 361, 1126, 21, 1877, 1418, 6, 74, 1081, 346, 345, 1060, 1046, 865, 1221, 270, 1562, 2391, 3402, 1285, 212, 3906, 3385, 1917, 1099, 3330, 556, 1193, 1081, 2195, 142, 1244, 2147, 262, 34, 2440, 1856, 1814, 203, 678, 1315, 1352, 2322, 2278, 2727, 3715, 2980, 2582, 499, 275, 1643, 1643, 1642, 294, 278, 307, 1950, 1663, 3707, 3267, 4029, 3517, 3354, 981, 3160, 555, 1873, 3925, 3843, 783, 3422, 3662, 2833, 3144, 197, 1029, 3971, 2512, 3709, 2695, 1928, 7, 738, 1637, 1532, 3606, 386, 1305, 2107, 747, 1819, 2606, 2320, 524, 2189, 2689, 1132, 3146, 1994, 2684, 1364, 1424, 585, 415, 1971, 383, 3445, 1913, 264, 2188, 604, 3482, 1154, 1535, 3576, 92, 3773, 3687, 2421, 2744, 1061, 1837, 213, 680, 379, 2913, 2945, 1906, 3427, 1471, 363, 2942, 1635, 1791, 532, 525, 483, 134, 1036, 1543, 979, 1377, 2000, 2373, 398, 3614, 3475, 1831, 2003, 3050, 2906, 3581, 451, 3124, 1012, 1781, 420, 4033, 2050, 3668, 1883, 2018, 1475, 3332, 4100, 4037, 1160, 1588, 194, 2125, 910, 3981, 1428, 397, 2056, 2285, 2188, 512, 3304, 3563, 320, 1349, 471, 678, 37, 227, 37, 934, 37, 3320, 3235, 829, 232, 3565, 3585, 2552, 516, 2556, 3588, 3717, 2396, 2727, 2586, 3780, 1690, 1960, 3248, 2764, 1755, 3410, 1375, 1964, 2619, 1927, 3879, 1818, 912, 2032, 825, 345, 1381, 3414, 1405, 92, 356, 3913, 1748, 1032, 3528, 162, 865, 18, 3505, 86, 1850, 1523, 146, 2826, 339, 1741, 309, 1750, 1350, 1381, 57, 1442, 1379, 45, 326, 1500, 1946, 2649, 74, 346, 1493, 90, 778, 356, 463, 581, 848, 1819, 405, 1097, 1930, 1116, 1034, 3354, 1184, 1460, 1258, 3331, 636, 2489, 139, 3715, 936, 2832, 540, 123, 2046, 3219, 175, 1380, 2674, 2466, 2603, 2583, 3759, 239, 2474, 3517, 2604, 2207, 2416, 3518, 3955, 2966, 1507, 1726, 2795, 570, 1880, 2403, 1404, 771, 1442, 1972, 1469, 4078, 2289, 2593, 3421, 3064, 2560, 4086, 117, 3140, 3453, 3901, 3382, 3499, 2294, 2725, 3714, 3714, 3713, 3713, 3599, 2115, 68, 2683, 954, 1442, 3712, 2402, 1365, 1164, 1212, 3581, 1754, 330, 346, 1914, 3762, 324, 949, 3878, 2723, 3351, 3340, 1422, 3618, 3554, 3814, 277, 2700, 3949, 1895, 3623, 337, 981, 563, 3424, 2599, 3197, 1037, 1409, 2143, 371 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 2707, 2107, 3604, 675, 3554, 3979, 3460, 1329, 581, 1286, 1367, 391, 355, 3677, 1336, 513, 60, 3649, 4066, 3028, 354, 3585, 2067, 2108, 1514, 3512, 1967, 3585, 454, 2022, 3062, 3894, 4087, 4086, 4038, 4086, 4022, 1790, 232, 1716, 2621, 3205, 1850, 3794, 330, 3972, 3078, 3973, 3591, 1577, 88, 2708, 3739, 3064, 3844, 2177, 2448, 3202, 3636, 2568, 3198, 4008, 565, 1877, 598, 2964, 2119, 3165, 374, 3885, 2549, 2505, 3587, 2249, 385, 1234, 2000, 2000, 1804, 1852, 3837, 728, 3628, 2833, 37, 3767, 1350, 1373, 1842, 1104, 1797, 3541, 1033, 1097, 1142, 1358, 1432, 3365, 185, 3461, 3957, 1029, 2842, 3153, 1949, 1205, 1895, 651, 1050, 773, 1742, 1277, 41, 10, 1526, 2986, 3508, 78, 89, 605, 1307, 2146, 69, 1518, 709, 1815, 357, 1160, 292, 1913, 337, 3584, 1902, 3674, 1550, 2049, 3487, 109, 247, 2407, 1740, 1239, 1789, 1697, 491, 1355, 2003, 3587, 488, 2255, 1394, 1500, 295, 3580, 2832, 2860, 3031, 2400, 1768, 1447, 3423, 3048, 3760, 2652, 773, 2282, 1681, 1661, 1026, 3972, 1593, 2366, 916, 294, 3295, 2574, 1205, 1658, 1794, 3093, 1506, 843, 2949, 2281, 3873, 3377, 1317, 2109, 3869, 55, 511, 119, 1533, 1625, 17, 2577, 744, 2176, 3758, 179, 3551, 2438, 923, 3388, 1975, 902, 1882, 2565, 1117, 73, 2413, 97, 233, 1638, 1962, 2037, 2835, 225, 3574, 3054, 3013, 495, 3511, 3158, 3692, 227, 2751, 1671, 1084, 840, 1034, 332, 268, 2970, 1745, 3784, 1938, 2340, 3596, 1286, 1799, 1433, 325, 156, 2534, 7, 2024, 2279, 440, 3091, 1934, 3777, 58, 1629, 2993, 825, 3909, 70, 3168, 3078, 2862, 3397, 1566, 2189, 3353, 277, 1365, 206, 3976, 2073, 22, 777, 1104, 1685, 3441, 2581, 125, 361, 341, 474, 2802, 2773, 3439, 3269, 3941, 3353, 332, 1623, 3187, 270, 1866, 1228, 3833, 431, 346, 859, 226, 68, 4058, 2113, 2043, 2452, 558, 2780, 2685, 104, 1909, 3589, 1039, 3669, 3882, 3790, 2028, 3002, 3846, 136, 30, 3755, 2281, 3294, 3702, 3656, 3325, 3394, 2048, 515, 2485, 60, 3845, 3585, 244, 3080, 4071, 2868, 228, 3072, 3196, 2434, 2303, 385, 2588, 3715, 2195, 4008, 1348, 8, 2344, 2269, 3902, 572, 3845, 93, 325, 903, 912, 1068, 42, 1434, 1470, 2490, 1389, 858, 3358, 1383, 2919, 2667, 1100, 1913, 1916, 1916, 1916, 1916, 1367, 1499, 3580, 2053, 3092, 163, 1540, 2701, 3309, 1255, 1400, 1301, 3458, 3731, 1896, 1435, 2542, 1032, 1510, 3515, 1695, 1354, 2541, 1671, 3130, 3646, 3078, 1809, 1128, 1410, 4004, 1548, 3832, 1544, 1798, 828, 2997, 3848, 2862, 220, 129, 820, 2833, 2435, 1979, 1404, 2485, 2060, 21, 1094, 3355, 2330, 101, 3403, 2204, 2595, 2971, 2215, 2202, 2782, 125, 3760, 371, 537, 2890, 2994, 3327, 1198, 3782, 3259, 593, 404, 1542, 1024, 3620, 3322, 1372, 3848, 996, 3932, 1010, 2552, 3716, 3607, 25, 1892, 915, 12, 3598, 2210, 3849, 1376, 3715, 1515, 1643, 1447, 1643, 3411, 2758, 3501, 1643, 1667, 43, 668, 924, 927, 1538, 2650, 1612, 3964, 2346, 131, 2141, 1471, 933, 2199, 937, 3847, 680, 2095, 2689, 219, 347, 3418, 3210, 1384, 1372, 1407, 1306, 2621, 3442, 1466, 2010, 2907, 3567, 1954, 1342, 3554, 1379, 4089 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 85, 360, 332, 3052, 3640, 3690, 152, 453, 1846, 3319, 3108, 4004, 3534, 3978, 1114, 2582, 374, 1946, 1292, 3146, 1515, 1952, 2949, 3977, 996, 930, 2812, 1311, 2027, 2667, 122, 2698, 2698, 2499, 2282, 2602, 1604, 906, 90, 343, 314, 36, 1414, 1884, 3706, 3161, 3564, 3098, 2253, 3525, 1290, 3425, 1404, 3832, 3046, 2912, 1375, 2274, 3768, 1430, 278, 1354, 1454, 345, 1354, 1370, 1370, 2029, 1948, 2590, 472, 3470, 1391, 2868, 1627, 3703, 1915, 2642, 3161, 2266, 1116, 2194, 1301, 261, 2525, 888, 819, 2909, 2512, 1533, 3710, 2153, 509, 1391, 495, 494, 3413, 871, 2221, 2163, 2223, 701, 3722, 1878, 3709, 4050, 1538, 1198, 2599, 2797, 1966, 2762, 1595, 2271, 3474, 2216, 1618, 2077, 3457, 733, 392, 2296, 2568, 1324, 2977, 3688, 2195, 981, 2366, 3854, 164, 2096, 1576, 64, 37, 901, 587, 4084, 13, 1391, 4037, 2202, 237, 635, 1354, 1513, 674, 2887, 325, 2396, 346, 3628, 2949, 537, 3269, 1341, 199, 3335, 2183, 2064, 323, 1029, 1301, 1407, 1322, 90, 477, 3283, 781, 3855, 20, 2842, 1649, 2333, 3152, 2901, 1598, 900, 897, 1798, 276, 3209, 785, 419, 1626, 2870, 1957, 333, 330, 3338, 2310, 1033, 453, 2565, 1882, 1541, 2490, 776, 2888, 858, 4051, 3492, 76, 2238, 1302, 1310, 1620, 3078, 3211, 2506, 3845, 2549, 1051, 1209, 1307, 1046, 2554, 1814, 2556, 3673, 1368, 920, 1366, 1290, 1436, 1035, 1409, 2390, 1285, 6, 2205, 583, 1034, 1162, 2113, 169, 1373, 1115, 281, 281, 1299, 2062, 3443, 262, 202, 3372, 1238, 1164, 2837, 162, 602, 65, 3979, 225, 402, 3626, 1095, 1372, 1261, 412, 2201, 212, 2678, 667, 2085, 840, 3158, 346, 1148, 2278, 430, 1411, 2536, 3913, 521, 550, 2582, 551, 2024, 2117, 6, 1581, 2975, 3690, 2051, 135, 1628, 3820, 2396, 2431, 1955, 1955, 1955, 1946, 1662, 1662, 1260, 2398, 2412, 3717, 1856, 4008, 2668, 2462, 2738, 2462, 2237, 1229, 2021, 2104, 3300, 1828, 1252, 2531, 2276, 1252, 1253, 3045, 768, 3675, 410, 1368, 2192, 2989, 867, 2540, 2691, 2565, 3442, 701, 1715, 368, 2139, 3935, 2660, 1774, 3511, 1893, 390, 1501, 3083, 631, 931, 1320, 2565, 2189, 2239, 3726, 2493, 2445, 2189, 2188, 2813, 973, 2044, 3723, 3851, 3514, 2988, 2504, 866, 2175, 531, 136, 3237, 1009, 3469, 3309, 2267, 1818, 1742, 1521, 1197, 307, 1888, 3, 2, 1009, 2086, 382, 1386, 1562, 50, 1356, 2929, 3651, 2075, 2660, 2471, 1983, 6, 3026, 1482, 198, 140, 1533, 1486, 1030, 1288, 1461, 2437, 3738, 2570, 1302, 1031, 1882, 42, 1047, 3273, 3468, 62, 2091, 603, 1481, 1418, 2857, 60, 3396, 2378, 520, 1302, 89, 2386, 1037, 275, 2078, 1087, 1271, 1691, 1546, 3669, 3015, 773, 2138, 4041, 1114, 1084, 3024, 3512, 795, 2733, 978, 2677, 582, 3592, 1956, 602, 4095, 440, 2269, 892, 2951, 2541, 1093, 892, 1974, 3595, 3297, 2672, 1263, 799, 2703, 794, 2185, 2387, 1678, 684, 573, 2766, 4060, 2024, 2234, 2538, 1881, 125, 34, 3270, 277, 69, 2374, 782, 1895, 802, 2652, 3758, 1972, 1518, 4060, 541, 2158, 3749, 867, 3621, 1287, 1365, 2394, 3730, 1521, 245, 1431, 2723, 431, 1931, 1506, 2202, 1315, 539, 2186, 1403, 483, 613, 3013 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1517, 1919, 16, 3390, 3743, 157, 3690, 4011, 2075, 2539, 2476, 3791, 3675, 2138, 2207, 2679, 860, 2266, 1682, 1341, 3426, 1522, 1115, 3421, 2138, 1414, 1498, 342, 1520, 1498, 3539, 3082, 3590, 777, 511, 3090, 285, 220, 826, 1535, 596, 2035, 3805, 3234, 2298, 3477, 518, 1221, 3080, 1373, 634, 3687, 2868, 1250, 3350, 3350, 649, 2021, 4073, 9, 17, 3120, 69, 724, 2309, 1660, 1804, 132, 189, 3198, 1892, 2694, 3098, 3989, 134, 3635, 2714, 3714, 2459, 3626, 1503, 2991, 1798, 2060, 1114, 343, 2330, 538, 1930, 1306, 3502, 2795, 1439, 3691, 1659, 3084, 1374, 3162, 1674, 1690, 1377, 2307, 1365, 3655, 544, 488, 1533, 99, 1360, 2016, 122, 2013, 2798, 237, 2409, 95, 351, 2154, 1517, 1455, 2317, 479, 604, 3053, 862, 1811, 412, 447, 340, 2578, 1084, 1550, 2376, 1412, 1298, 1837, 3095, 593, 69, 3434, 1068, 2537, 515, 1029, 2570, 2389, 2310, 394, 1474, 3526, 2137, 289, 1370, 2876, 2153, 846, 2325, 162, 3525, 773, 678, 3126, 3739, 318, 1927, 3108, 3580, 3654, 1546, 2025, 205, 352, 2965, 453, 1305, 66, 1859, 2101, 979, 3848, 20, 2457, 802, 1140, 21, 1404, 1031, 2068, 1957, 2117, 82, 2830, 62, 3627, 227, 224, 1367, 17, 1608, 314, 2106, 864, 2284, 870, 1286, 2042, 1174, 2058, 1838, 1391, 3771, 2037, 504, 804, 1030, 4037, 1909, 2935, 1508, 2284, 1772, 325, 2405, 1289, 37, 749, 1927, 3471, 1778, 481, 2187, 1645, 509, 1379, 1695, 1138, 3066, 3836, 2442, 486, 1293, 1930, 173, 2800, 1862, 3594, 6, 3731, 1805, 2117, 1319, 3669, 268, 2245, 1289, 862, 3444, 2673, 2477, 4013, 1067, 1290, 667, 919, 264, 306, 1980, 4021, 4021, 3269, 3539, 3255, 993, 3089, 232, 318, 3153, 3130, 3125, 3111, 893, 3465, 940, 2885, 2275, 554, 1436, 3724, 1403, 3308, 679, 4088, 2547, 2054, 2586, 2418, 2619, 3779, 2162, 1046, 1690, 1260, 1404, 3104, 2304, 3371, 2394, 3018, 2029, 1122, 4003, 1371, 3690, 1498, 2684, 2442, 475, 3077, 1767, 2817, 3737, 43, 338, 2970, 3486, 3689, 77, 3562, 1387, 3547, 1498, 498, 1958, 2063, 3261, 547, 19, 2441, 184, 95, 2149, 2239, 773, 229, 1537, 61, 120, 1800, 712, 1049, 231, 2117, 587, 380, 3962, 3127, 3383, 1428, 1078, 1974, 1809, 1819, 348, 27, 1370, 1290, 345, 30, 1370, 3068, 15, 601, 1717, 2418, 3598, 434, 2560, 2192, 348, 1917, 3427, 362, 1375, 679, 2842, 2559, 149, 1033, 1004, 1657, 144, 2121, 2053, 1955, 1830, 1509, 2074, 2810, 4002, 1459, 1632, 2234, 1389, 2442, 1446, 3501, 3822, 1378, 485, 1975, 419, 1904, 2558, 1369, 1817, 1301, 3428, 2479, 3034, 1371, 2490, 1884, 1308, 2428, 3068, 4065, 1922, 1883, 1935, 2410, 4021, 347, 599, 2972, 1955, 1706, 1370, 1757, 2044, 2530, 3702, 3420, 1890, 3467, 439, 741, 3461, 2059, 645, 2057, 893, 196, 2138, 4038, 3956, 2243, 520, 3344, 3590, 3848, 357, 2701, 35, 1628, 1037, 6, 2935, 255, 775, 133, 3526, 198, 1769, 2650, 2522, 2646, 1362, 1186, 1316, 1603, 2067, 1727, 352, 683, 2068, 13, 2631, 2420, 2538, 346, 1212, 3093, 1480, 1382, 1490, 1902, 2652, 1499, 1370, 1403, 504, 3576, 3575, 44, 1517, 868, 881, 159, 1986, 2100, 2876, 885 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 20, 1299, 1546, 22, 1828, 804, 2876, 3204, 776, 1802, 1675, 97, 26, 275, 1516, 698, 2543, 1985, 26, 89, 2190, 3834, 3103, 4060, 3689, 1033, 970, 3378, 250, 1389, 1507, 351, 133, 3210, 1624, 56, 2182, 1798, 1978, 3395, 1036, 2650, 21, 296, 22, 1352, 1375, 97, 1226, 134, 1313, 2396, 1142, 1441, 273, 15, 567, 2181, 970, 2633, 2570, 430, 26, 2393, 283, 1862, 354, 462, 2902, 1946, 1113, 1122, 2070, 1960, 60, 1234, 225, 1923, 584, 1801, 247, 2637, 1935, 795, 2730, 3051, 2709, 3853, 2607, 2652, 3077, 2901, 1914, 3110, 3715, 3910, 3564, 525, 2950, 2293, 3696, 1372, 3576, 1860, 3040, 4051, 3869, 543, 1613, 4008, 805, 461, 3565, 2175, 561, 1403, 1148, 1084, 1958, 1762, 1198, 4062, 2666, 2798, 3662, 2667, 3774, 1628, 586, 1946, 3423, 3680, 1390, 2001, 3509, 266, 2433, 3059, 3564, 1914, 1822, 3517, 2436, 1022, 1561, 3587, 2736, 143, 18, 3427, 2925, 1557, 1347, 3026, 2613, 2172, 1378, 3759, 1205, 55, 2954, 1599, 2590, 1323, 229, 28, 1948, 1395, 1881, 605, 795, 2527, 3162, 2185, 1414, 3995, 3717, 4008, 1420, 2077, 3411, 53, 2642, 27, 520, 2574, 1571, 117, 481, 212, 3397, 454, 475, 282, 3081, 2378, 2086, 1405, 262, 89, 3538, 585, 2058, 3392, 157, 2439, 1832, 3225, 856, 1372, 1814, 1788, 3651, 4034, 3418, 3426, 1373, 3435, 2831, 3556, 3576, 1547, 261, 1141, 343, 559, 2084, 563, 2601, 3746, 750, 2611, 294, 646, 3594, 684, 2284, 2205, 416, 2241, 2411, 564, 282, 4060, 3192, 2936, 3960, 3963, 3834, 3325, 3722, 1856, 3087, 3846, 2090, 1283, 3738, 1881, 1974, 1370, 3819, 1934, 2829, 2245, 517, 2097, 2277, 2085, 549, 2229, 2536, 2101, 2097, 765, 2497, 6, 2131, 574, 1348, 3775, 402, 1594, 1446, 2607, 346, 1259, 282, 2963, 396, 3498, 354, 1341, 1920, 515, 63, 2023, 246, 1914, 1421, 2282, 1484, 1366, 3603, 2834, 3089, 510, 3490, 2250, 2725, 3012, 3217, 2149, 1085, 133, 2565, 5, 877, 2246, 135, 3137, 1525, 181, 632, 3407, 2130, 1033, 3093, 1154, 100, 3915, 22, 1272, 922, 3914, 1644, 10, 3172, 317, 1234, 1933, 89, 538, 1370, 2872, 2455, 2377, 37, 2389, 1884, 3021, 2990, 3702, 1293, 85, 1009, 1967, 943, 1450, 3675, 3651, 2178, 3163, 1553, 1391, 2695, 1836, 4037, 382, 2585, 91, 2568, 1977, 102, 1341, 3976, 1885, 3650, 1562, 664, 148, 386, 4084, 3976, 2407, 3661, 2847, 604, 2602, 4000, 3114, 1378, 3820, 2085, 932, 5, 155, 357, 1700, 4006, 2085, 2085, 2085, 2088, 2195, 3904, 3141, 130, 2053, 2588, 230, 3162, 131, 957, 56, 1752, 132, 3620, 3359, 472, 2562, 229, 1418, 1050, 3811, 2233, 1020, 2106, 1219, 3053, 3873, 1934, 507, 3509, 3914, 2084, 220, 1389, 3976, 2296, 88, 2342, 1444, 1298, 2821, 3957, 23, 1102, 297, 1103, 297, 1097, 1097, 3364, 89, 1397, 725, 2117, 1349, 2055, 1978, 1338, 18, 334, 3016, 235, 86, 325, 1110, 3591, 64, 3097, 3214, 1032, 1250, 266, 2645, 45, 261, 2398, 1221, 3414, 654, 1461, 234, 1363, 2604, 1086, 3471, 1391, 68, 1136, 1397, 673, 180, 3013, 2478, 1959, 1030, 2702, 2718, 3797, 533, 1374, 1392, 2634, 1211, 517, 4024, 2625, 978, 1464, 67 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]