Datasets:

roa7n

/

G_quad_DNA_tokenized_K6

like 0

[ 2, 3300, 900, 3585, 2040, 4052, 3907, 3325, 997, 3974, 3594, 2074, 90, 346, 1371, 1375, 1389, 1445, 1671, 2573, 2086, 140, 548, 2180, 516, 2051, 4093, 4072, 3985, 3640, 2260, 835, 3326, 1004, 4004, 3716, 2562, 2044, 4066, 3964, 3554, 1916, 3556, 1924, 3588, 2049, 4086, 4042, 3868, 3172, 386, 1530, 2012, 3939, 3453, 1509, 1928, 3604, 2114, 252, 995, 3966, 3564, 1956, 3716, 2561, 2040, 4050, 3900, 3300, 900, 3588, 2050, 4092, 4067, 3965, 3560, 1940, 3652, 2305, 1013, 4040, 3860, 3140, 259, 1023, 4078, 4011, 3742, 2668, 2467, 1661, 2535, 1933, 3623, 2191, 557, 2215, 656, 2610, 2235, 735, 2928, 3506, 1723, 2783, 2926, 3499, 1693, 2662, 2443, 1567, 2158, 428, 1699, 2686, 2537, 1942, 3660, 2337, 1144, 468, 1858, 3323, 989, 3944, 3475, 1598, 2283, 926, 3692, 2466, 1657, 2519, 1869, 3366, 1164, 546, 2172, 483, 1918, 3564, 1956, 3713, 2549, 1992, 3857, 3128, 211, 829, 3301, 902, 3594, 2073, 88, 339, 1344, 1268, 964, 3844, 3074, 4092, 4067, 3967, 3566, 1961, 3733, 2632, 2323, 1085, 232, 914, 3644, 2274, 891, 3551, 1901, 3494, 1675, 2589, 2150, 396, 1572, 2177, 503, 2000, 3890, 3260, 740, 2948, 3586, 2043, 4062, 3947, 3486, 1644, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1580, 2211, 637, 2536, 1939, 3647, 2286, 939, 3741, 2661, 2439, 1551, 2094, 170, 667, 2654, 2412, 1444, 1668, 2563, 2046, 4075, 3997, 3685, 2437, 1543, 2062, 44, 162, 635, 2525, 1894, 3467, 1567, 2159, 429, 1703, 2703, 2607, 2223, 685, 2728, 2707, 2623, 2286, 939, 3743, 2670, 2476, 1697, 2677, 2502, 1801, 3096, 83, 318, 1260, 932, 3716, 2561, 2039, 4047, 3885, 3239, 653, 2600, 2196, 579, 2301, 998, 3980, 3619, 2173, 485, 1927, 3597, 2087, 143, 557, 2215, 653, 2599, 2191, 559, 2221, 680, 2707, 2622, 2281, 917, 3654, 2314, 1050, 90, 346, 1370, 1370, 1369, 1366, 1354, 1306, 1114, 346, 1370, 1369, 1366, 1354, 1306, 1114, 346, 1370, 1369, 1366, 1354, 1306, 1114, 346, 1370, 1370, 1370, 1370, 1372, 1377, 1400, 1489, 1847, 3277, 808, 3217, 568, 2258, 827, 3294, 875, 3488, 1651, 2494, 1772, 2978, 3708, 2530, 1915, 3550, 1899, 3487, 1647, 2477, 1704, 2708, 2627, 2302, 1001, 3992, 3665, 2360, 1234, 828, 3299, 893, 3560, 1938, 3644, 2276, 899, 3584, 2034, 4028, 3809, 2934, 3531, 1822, 3179, 413, 1640, 2451, 1598, 2283, 925, 3687, 2446, 1580, 2211, 637, 2533, 1928, 3603, 2110, 235, 927, 3696, 2483, 1727, 2798, 2987, 3743, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1558, 2124, 292, 1156, 514, 2044, 4068, 3972, 3587, 2047, 4079, 4014, 3753, 2709, 2630, 2315, 1055, 109, 421, 1670, 2569, 2070, 76, 289, 1143, 462, 1836, 3233, 629, 2504, 1810, 3131, 223, 878, 3498, 1689, 2647, 2381, 1320, 1172, 577, 2293, 968, 3857, 3128, 212, 833, 3320, 977, 3894, 3274, 793, 3160, 340, 1345, 1271, 973, 3879, 3213, 552, 2193, 566, 2249, 790, 3148, 291, 1149, 486, 1932, 3619, 2173, 486, 1929, 3605, 2117, 264, 1044, 65, 245, 965, 3848, 3089, 55, 207, 813, 3238, 652, 2594, 2172, 481, 1909, 3528, 1809, 3127, 205, 806, 3212, 547, 2173, 488, 1937, 3640, 2257, 821, 3272, 786, 3131, 221, 869, 3462, 1547, 2077, 102, 395, 1566, 2156, 418, 1657, 2517, 1864, 3346, 1083, 221, 869, 3464, 1556, 2113, 247, 973, 3879, 3213, 552, 2196, 579, 2302, 1003, 3997, 3688, 2449, 1592, 2260, 833, 3317, 965, 3847, 3087, 45, 165, 647, 2575, 2095, 174, 684, 2723, 2687, 2541, 1960, 3730, 2619, 2269, 869, 3463, 1549, 2087, 143, 558, 2218, 668, 2657, 2422, 1483, 1822, 3178, 412, 1636, 2433, 1527, 1998, 3882, 3227, 607, 2413, 1448, 1683, 2623, 2286, 939, 3743, 2669, 2472, 1681, 2613, 2246, 778, 3100, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 6, 12, 36, 132, 516, 2052, 4098, 4090, 4057, 3925, 3398, 1289, 1046, 73, 280, 1105, 309, 1221, 773, 3080, 20, 65, 245, 968, 3860, 3139, 253, 997, 3974, 3594, 2076, 100, 386, 1529, 2006, 3915, 3357, 1126, 394, 1561, 2135, 334, 1321, 1173, 582, 2314, 1051, 95, 367, 1453, 1704, 2707, 2621, 2277, 903, 3599, 2094, 170, 665, 2647, 2382, 1324, 1188, 641, 2551, 1997, 3878, 3210, 538, 2138, 345, 1366, 1355, 1310, 1131, 415, 1645, 2472, 1681, 2613, 2245, 776, 3090, 59, 221, 872, 3473, 1590, 2250, 794, 3164, 356, 1410, 1532, 2020, 3970, 3580, 2017, 3957, 3526, 1803, 3101, 101, 389, 1544, 2066, 57, 213, 839, 3341, 1064, 148, 580, 2305, 1013, 4038, 3851, 3101, 103, 398, 1577, 2199, 589, 2342, 1162, 539, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3920, 3380, 1217, 759, 3023, 3888, 3252, 705, 2807, 3022, 3883, 3232, 628, 2497, 1783, 3022, 3883, 3232, 625, 2485, 1736, 2833, 3125, 198, 778, 3098, 92, 354, 1404, 1508, 1922, 3580, 2018, 3961, 3544, 1876, 3393, 1272, 977, 3894, 3275, 800, 3188, 449, 1784, 3028, 3905, 3319, 976, 3892, 3265, 757, 3016, 3858, 3132, 226, 892, 3554, 1915, 3551, 1904, 3505, 1719, 2765, 2853, 3208, 532, 2116, 257, 1013, 4038, 3851, 3104, 116, 449, 1783, 3023, 3886, 3244, 673, 2677, 2501, 1799, 3085, 40, 148, 580, 2308, 1026, 4092, 4068, 3972, 3586, 2044, 4068, 3972, 3587, 2048, 4081, 4024, 3796, 2881, 3319, 974, 3881, 3224, 593, 2357, 1221, 776, 3090, 59, 223, 877, 3496, 1681, 2616, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 415, 1646, 2474, 1691, 2653, 2408, 1426, 1594, 2267, 862, 3436, 1443, 1662, 2539, 1950, 3692, 2465, 1654, 2507, 1822, 3178, 409, 1624, 2386, 1338, 1241, 854, 3402, 1306, 1115, 350, 1386, 1436, 1634, 2427, 1502, 1898, 3483, 1630, 2412, 1443, 1662, 2537, 1944, 3667, 2366, 1258, 922, 3674, 2396, 1377, 1397, 1478, 1802, 3098, 92, 354, 1402, 1498, 1884, 3427, 1406, 1516, 1954, 3706, 2524, 1891, 3454, 1514, 1946, 3674, 2395, 1374, 1385, 1432, 1618, 2362, 1243, 862, 3434, 1434, 1626, 2393, 1365, 1350, 1290, 1050, 90, 348, 1377, 1398, 1484, 1826, 3194, 473, 1880, 3410, 1340, 1250, 892, 3554, 1915, 3549, 1893, 3462, 1546, 2074, 90, 345, 1368, 1361, 1334, 1227, 798, 3178, 410, 1627, 2397, 1382, 1419, 1566, 2154, 410, 1626, 2395, 1374, 1387, 1438, 1642, 2460, 1634, 2428, 1505, 1912, 3539, 1853, 3302, 906, 3610, 2137, 344, 1362, 1340, 1251, 894, 3561, 1942, 3657, 2325, 1093, 262, 1034, 26, 91, 351, 1391, 1454, 1707, 2718, 2665, 2455, 1613, 2343, 1165, 551, 2190, 556, 2211, 638, 2538, 1946, 3673, 2389, 1349, 1286, 1036, 34, 124, 482, 1915, 3551, 1903, 3501, 1704, 2705, 2616, 2257, 822, 3274, 795, 3166, 364, 1444, 1666, 2553, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 9, 23, 78, 300, 1188, 644, 2563, 2047, 4077, 4008, 3732, 2627, 2301, 997, 3976, 3604, 2114, 252, 996, 3971, 3582, 2027, 3997, 3687, 2445, 1575, 2191, 558, 2217, 662, 2633, 2325, 1094, 267, 1055, 111, 429, 1704, 2707, 2621, 2279, 910, 3626, 2202, 604, 2401, 1400, 1489, 1848, 3284, 835, 3326, 1004, 4001, 3704, 2516, 1859, 3325, 1000, 3988, 3650, 2300, 996, 3969, 3574, 1995, 3869, 3175, 399, 1582, 2220, 673, 2680, 2516, 1858, 3323, 989, 3944, 3476, 1601, 2296, 978, 3898, 3291, 861, 3429, 1416, 1553, 2103, 207, 813, 3240, 659, 2623, 2286, 940, 3748, 2691, 2559, 2029, 4005, 3719, 2573, 2086, 140, 548, 2179, 512, 2033, 4021, 3781, 2823, 3087, 47, 174, 684, 2722, 2683, 2526, 1899, 3486, 1641, 2455, 1614, 2345, 1173, 581, 2311, 1037, 38, 137, 535, 2125, 293, 1157, 520, 2065, 54, 202, 793, 3160, 339, 1343, 1261, 936, 3732, 2626, 2300, 994, 3964, 3556, 1922, 3580, 2020, 3970, 3580, 2019, 3968, 3571, 1981, 3815, 2959, 3630, 2220, 674, 2681, 2517, 1863, 3343, 1071, 175, 685, 2725, 2695, 2574, 2089, 151, 590, 2347, 1184, 628, 2500, 1793, 3064, 4052, 3907, 3326, 1004, 4001, 3704, 2516, 1858, 3324, 993, 3960, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 2019, 3967, 3565, 1960, 3732, 2625, 2293, 965, 3845, 3079, 14, 41, 152, 593, 2358, 1225, 792, 3154, 315, 1245, 870, 3465, 1558, 2121, 279, 1101, 293, 1160, 529, 2103, 205, 805, 3205, 520, 2066, 58, 220, 866, 3449, 1495, 1870, 3371, 1182, 618, 2457, 1623, 2383, 1326, 1195, 669, 2663, 2445, 1574, 2187, 541, 2150, 393, 1558, 2121, 279, 1101, 293, 1157, 517, 2053, 6, 10, 25, 85, 327, 1294, 1067, 157, 613, 2437, 1541, 2054, 12, 36, 129, 502, 1994, 3865, 3157, 325, 1288, 1041, 56, 211, 831, 3309, 936, 3729, 2614, 2252, 803, 3197, 485, 1928, 3604, 2116, 259, 1022, 4073, 3989, 3653, 2309, 1029, 5, 7, 15, 46, 169, 663, 2637, 2341, 1159, 525, 2087, 142, 554, 2202, 602, 2396, 1378, 1404, 1506, 1916, 3554, 1915, 3549, 1893, 3461, 1544, 2068, 65, 247, 973, 3879, 3214, 553, 2198, 587, 2333, 1125, 392, 1553, 2101, 197, 774, 3082, 26, 90, 345, 1365, 1349, 1285, 1032, 17, 53, 198, 778, 3098, 90, 348, 1377, 1398, 1484, 1828, 3201, 501, 1989, 3846, 3082, 28, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 4005, 3718, 2571, 2078, 108, 417, 1654, 2508, 1826, 3194, 474, 1881, 3414, 1354, 1306, 1115, 350, 1386, 1433, 1622, 2378, 1305, 1111, 333, 1318, 1161, 533, 2119, 271, 1070, 171, 670, 2666, 2459, 1630, 2410, 1435, 1629, 2406, 1420, 1570, 2170, 475, 1887, 3437, 1446, 1676, 2594, 2171, 477, 1894, 3466, 1563, 2142, 362, 1436, 1634, 2427, 1501, 1894, 3466, 1562, 2139, 350, 1385, 1429, 1605, 2311, 1038, 43, 158, 619, 2463, 1646, 2473, 1685, 2632, 2323, 1085, 231, 910, 3626, 2202, 603, 2397, 1382, 1417, 1557, 2118, 265, 1048, 81, 309, 1223, 781, 3110, 137, 534, 2123, 286, 1130, 409, 1621, 2376, 1299, 1085, 229, 902, 3593, 2069, 70, 265, 1046, 75, 287, 1133, 422, 1674, 2585, 2133, 326, 1289, 1048, 84, 324, 1281, 1014, 4041, 3864, 3154, 314, 1241, 855, 3405, 1318, 1161, 533, 2118, 266, 1050, 89, 342, 1356, 1313, 1142, 460, 1827, 3197, 486, 1930, 3611, 2141, 357, 1416, 1555, 2109, 229, 902, 3596, 2084, 129, 501, 1990, 3849, 3094, 73, 280, 1105, 312, 1234, 827, 3293, 870, 3467, 1565, 2149, 389, 1541, 2053, 8, 17, 53, 198, 780, 3105, 120, 468, 1859, 3325, 997, 3975, 3597, 2086, 138, 538, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 318, 1257, 917, 3656, 2321, 1078, 201, 790, 3148, 292, 1153, 501, 1991, 3855, 3117, 165, 647, 2574, 2090, 153, 597, 2376, 1298, 1084, 226, 890, 3547, 1885, 3430, 1419, 1565, 2152, 402, 1596, 2276, 897, 3574, 1996, 3873, 3189, 455, 1808, 3124, 193, 759, 3021, 3877, 3205, 520, 2065, 53, 197, 773, 3079, 16, 50, 188, 737, 2934, 3532, 1826, 3193, 470, 1865, 3350, 1097, 279, 1101, 295, 1165, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1604, 2305, 1013, 4040, 3857, 3125, 200, 788, 3137, 245, 967, 3855, 3117, 165, 645, 2566, 2060, 36, 130, 507, 2013, 3942, 3465, 1557, 2120, 275, 1085, 232, 913, 3640, 2257, 823, 3277, 806, 3209, 534, 2124, 289, 1141, 455, 1808, 3122, 188, 739, 2941, 3557, 1928, 3604, 2115, 253, 998, 3980, 3618, 2171, 478, 1897, 3477, 1608, 2321, 1078, 201, 789, 3141, 263, 1037, 40, 147, 574, 2283, 926, 3689, 2456, 1617, 2358, 1228, 801, 3191, 462, 1835, 3229, 614, 2443, 1565, 2151, 397, 1576, 2196, 580, 2306, 1017, 4053, 3909, 3333, 1029, 5, 8, 17, 54, 204, 801, 3189, 454, 1801, 3093, 70, 265, 1046, 73, 277, 1096, 273, 1078, 201, 792, 3154, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1530, 2010, 3931, 3421, 1383, 1421, 1574, 2187, 541, 2150, 393, 1559, 2126, 298, 1178, 603, 2397, 1381, 1413, 1541, 2053, 8, 18, 58, 218, 858, 3417, 1365, 1350, 1291, 1055, 109, 424, 1684, 2625, 2296, 978, 3897, 3285, 840, 3345, 1080, 209, 821, 3269, 773, 3080, 20, 68, 257, 1013, 4038, 3850, 3099, 93, 359, 1422, 1578, 2204, 610, 2426, 1498, 1882, 3420, 1377, 1400, 1490, 1851, 3295, 878, 3498, 1690, 2650, 2394, 1371, 1374, 1385, 1432, 1618, 2364, 1251, 893, 3559, 1935, 3629, 2216, 657, 2615, 2253, 807, 3214, 556, 2211, 638, 2537, 1944, 3665, 2357, 1224, 787, 3134, 234, 922, 3675, 2399, 1389, 1446, 1676, 2595, 2173, 486, 1931, 3614, 2154, 412, 1635, 2430, 1515, 1949, 3685, 2438, 1547, 2079, 109, 423, 1677, 2599, 2189, 549, 2181, 519, 2063, 45, 165, 647, 2574, 2091, 158, 620, 2466, 1660, 2532, 1921, 3576, 2001, 3895, 3277, 808, 3219, 574, 2284, 929, 3702, 2505, 1815, 3150, 297, 1176, 593, 2359, 1231, 815, 3245, 678, 2698, 2585, 2134, 329, 1304, 1105, 312, 1233, 824, 3284, 833, 3320, 977, 3893, 3269, 773, 3078, 10, 28, 97, 376, 1492, 1858, 3323, 992, 3956, 3522, 1785, 3029, 3911, 3342, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3724, 2595, 2174, 492, 1954, 3707, 2526, 1898, 3482, 1626, 2393, 1365, 1351, 1293, 1061, 133, 518, 2058, 25, 85, 325, 1285, 1030, 10, 26, 89, 342, 1353, 1301, 1096, 273, 1078, 202, 793, 3157, 325, 1288, 1041, 54, 204, 801, 3189, 453, 1797, 3077, 6, 10, 27, 93, 360, 1428, 1602, 2299, 991, 3950, 3499, 1693, 2661, 2437, 1541, 2055, 16, 51, 190, 747, 2975, 3696, 2481, 1719, 2766, 2858, 3226, 604, 2401, 1400, 1489, 1848, 3284, 835, 3325, 998, 3980, 3617, 2168, 465, 1848, 3281, 821, 3269, 774, 3084, 33, 117, 456, 1809, 3126, 201, 791, 3152, 308, 1219, 765, 3048, 3985, 3638, 2250, 795, 3165, 359, 1421, 1575, 2191, 558, 2219, 671, 2671, 2477, 1702, 2699, 2590, 2155, 414, 1642, 2460, 1635, 2430, 1515, 1949, 3686, 2442, 1563, 2142, 364, 1441, 1656, 2515, 1854, 3308, 930, 3707, 2526, 1900, 3491, 1662, 2539, 1950, 3690, 2458, 1628, 2401, 1397, 1477, 1800, 3092, 65, 245, 966, 3852, 3108, 131, 511, 2031, 4013, 3751, 2701, 2600, 2193, 565, 2247, 781, 3110, 139, 542, 2154, 410, 1627, 2397, 1384, 1426, 1593, 2264, 850, 3386, 1244, 868, 3457, 1528, 2004, 3907, 3326, 1001, 3991, 3662, 2348, 1186, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2227, 703, 2799, 2990, 3755, 2719, 2671, 2480, 1713, 2743, 2767, 2863, 3248, 692, 2756, 2817, 3061, 4040, 3859, 3135, 239, 943, 3758, 2731, 2720, 2676, 2497, 1782, 3018, 3868, 3172, 385, 1527, 1999, 3887, 3248, 691, 2751, 2799, 2991, 3759, 2736, 2739, 2751, 2799, 2991, 3757, 2728, 2707, 2621, 2280, 916, 3650, 2299, 990, 3946, 3483, 1632, 2420, 1475, 1791, 3055, 4015, 3757, 2727, 2704, 2611, 2237, 742, 2955, 3613, 2151, 399, 1584, 2227, 702, 2794, 2972, 3683, 2432, 1523, 1981, 3815, 2959, 3631, 2224, 689, 2744, 2769, 2870, 3275, 799, 3184, 435, 1725, 2792, 2962, 3644, 2276, 898, 3579, 2016, 3955, 3519, 1776, 2995, 3774, 2795, 2974, 3691, 2463, 1645, 2472, 1683, 2623, 2287, 943, 3760, 2740, 2755, 2814, 3051, 3999, 3696, 2483, 1726, 2795, 2976, 3699, 2495, 1776, 2996, 3780, 2818, 3067, 4061, 3944, 3475, 1598, 2282, 924, 3684, 2435, 1534, 2027, 3999, 3696, 2483, 1726, 2796, 2979, 3711, 2543, 1968, 3763, 2751, 2798, 2987, 3743, 2671, 2479, 1711, 2736, 2739, 2751, 2800, 2995, 3775, 2797, 2984, 3731, 2622, 2283, 925, 3687, 2447, 1583, 2223, 686, 2732, 2724, 2691, 2560, 2036, 4034, 3836, 3043, 3968, 3569, 1975, 3791, 2861, 3240, 660, 2628, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2181, 518, 2058, 27, 94, 364, 1444, 1668, 2561, 2037, 4040, 3858, 3131, 223, 879, 3501, 1704, 2705, 2615, 2255, 815, 3247, 685, 2728, 2706, 2619, 2269, 872, 3475, 1600, 2291, 959, 3824, 2995, 3775, 2799, 2991, 3758, 2732, 2723, 2685, 2534, 1930, 3611, 2143, 367, 1455, 1710, 2730, 2715, 2654, 2411, 1437, 1640, 2450, 1596, 2274, 891, 3550, 1897, 3480, 1620, 2369, 1270, 972, 3876, 3204, 516, 2049, 4086, 4041, 3863, 3149, 294, 1164, 545, 2165, 456, 1812, 3140, 258, 1018, 4060, 3940, 3460, 1540, 2050, 4091, 4061, 3941, 3464, 1556, 2116, 260, 1027, 4093, 4072, 3985, 3638, 2252, 803, 3199, 496, 1972, 3780, 2820, 3076, 4100, 4097, 4087, 4045, 3880, 3220, 577, 2294, 972, 3876, 3203, 509, 2021, 3976, 3601, 2104, 212, 835, 3325, 999, 3983, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 554, 2204, 610, 2428, 1506, 1916, 3553, 1911, 3534, 1835, 3229, 615, 2446, 1580, 2211, 637, 2533, 1926, 3594, 2076, 99, 383, 1517, 1959, 3726, 2602, 2202, 603, 2397, 1384, 1428, 1601, 2293, 967, 3854, 3113, 150, 586, 2332, 1121, 374, 1481, 1814, 3145, 279, 1102, 300, 1185, 630, 2505, 1814, 3148, 289, 1144, 465, 1845, 3270, 777, 3094, 74, 282, 1114, 345, 1366, 1354, 1306, 1113, 341, 1350, 1289, 1045, 70, 267, 1056, 114, 443, 1757, 2918, 3467, 1565, 2150, 394, 1562, 2139, 350, 1386, 1435, 1630, 2411, 1438, 1642, 2460, 1633, 2421, 1477, 1797, 3080, 18, 60, 227, 894, 3562, 1946, 3674, 2396, 1379, 1405, 1509, 1928, 3603, 2109, 232, 916, 3650, 2297, 981, 3912, 3345, 1077, 200, 788, 3137, 245, 966, 3849, 3095, 78, 297, 1176, 596, 2370, 1276, 993, 3958, 3531, 1821, 3174, 394, 1562, 2140, 353, 1397, 1479, 1806, 3115, 158, 620, 2465, 1655, 2509, 1829, 3206, 522, 2073, 86, 330, 1306, 1113, 342, 1354, 1306, 1115, 350, 1387, 1438, 1642, 2458, 1628, 2403, 1405, 1509, 1925, 3590, 2060, 36, 129, 501, 1989, 3846, 3081, 23, 77, 293, 1160, 532, 2113, 245, 967, 3856, 3122, 187, 735, 2926, 3499, 1695, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1325, 1192, 657, 2616, 2257, 822, 3274, 795, 3166, 364, 1444, 1668, 2562, 2042, 4057, 3925, 3399, 1296, 1074, 187, 733, 2918, 3468, 1569, 2168, 468, 1858, 3321, 982, 3915, 3357, 1127, 399, 1581, 2214, 649, 2584, 2129, 310, 1226, 794, 3164, 356, 1409, 1526, 1995, 3869, 3175, 398, 1578, 2202, 602, 2394, 1369, 1366, 1354, 1305, 1112, 340, 1346, 1273, 984, 3921, 3381, 1223, 782, 3113, 152, 594, 2362, 1242, 857, 3413, 1349, 1285, 1029, 5, 7, 16, 51, 190, 745, 2966, 3657, 2326, 1098, 282, 1114, 345, 1365, 1350, 1290, 1049, 87, 334, 1324, 1187, 637, 2534, 1932, 3620, 2177, 502, 1994, 3865, 3159, 334, 1322, 1177, 597, 2374, 1290, 1050, 90, 346, 1371, 1374, 1387, 1439, 1645, 2472, 1681, 2615, 2255, 814, 3243, 670, 2666, 2457, 1623, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1016, 4049, 3893, 3271, 784, 3124, 196, 772, 3075, 4096, 4084, 4035, 3840, 3060, 4033, 3832, 3026, 3900, 3297, 885, 3525, 1800, 3092, 68, 258, 1018, 4060, 3937, 3448, 1492, 1857, 3319, 973, 3878, 3211, 543, 2159, 429, 1704, 2708, 2627, 2301, 1000, 3985, 3637, 2248, 788, 3140, 257, 1014, 4041, 3864, 3154, 316, 1250, 892, 3553, 1912, 3539, 1853, 3301, 904, 3604, 2115, 253, 998, 3980, 3617, 2165, 456, 1812, 3138, 252, 996, 3971, 3581, 2023, 3982, 3626, 2204, 612, 2436, 1539, 2045, 4072, 3988, 3652, 2308, 1027, 4093, 4072, 3988, 3652, 2305, 1016, 4050, 3900, 3300, 900, 3586, 2044, 4068, 3972, 3587, 2045, 4072, 3988, 3652, 2306, 1020, 4068, 3969, 3576, 2004, 3907, 3326, 1004, 4004, 3713, 2552, 2001, 3895, 3277, 807, 3216, 564, 2244, 771, 3069, 4069, 3976, 3604, 2116, 258, 1018, 4057, 3928, 3411, 1342, 1259, 927, 3693, 2469, 1672, 2580, 2116, 257, 1016, 4051, 3903, 3310, 940, 3747, 2685, 2536, 1939, 3645, 2279, 911, 3629, 2214, 652, 2595, 2175, 493, 1957, 3720, 2577, 2104, 211, 831, 3310, 937, 3736, 2644, 2372, 1283, 1023, 4078, 4012, 3746, 2683, 2525, 1896, 3476, 1604, 2305, 1014, 4044, 3873, 3192, 467, 1853, 3304, 915, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 778, 3099, 94, 362, 1434, 1627, 2398, 1385, 1430, 1612, 2338, 1146, 473, 1877, 3397, 1288, 1042, 58, 219, 862, 3436, 1443, 1662, 2539, 1951, 3694, 2474, 1690, 2650, 2394, 1370, 1372, 1378, 1402, 1499, 1886, 3434, 1434, 1628, 2403, 1405, 1509, 1925, 3590, 2057, 22, 73, 278, 1098, 282, 1114, 347, 1375, 1391, 1455, 1711, 2733, 2728, 2706, 2619, 2270, 876, 3490, 1657, 2518, 1867, 3359, 1134, 428, 1698, 2683, 2526, 1898, 3482, 1626, 2393, 1365, 1350, 1291, 1055, 110, 427, 1694, 2666, 2458, 1625, 2390, 1353, 1302, 1100, 292, 1156, 515, 2046, 4074, 3994, 3674, 2396, 1379, 1405, 1512, 1937, 3640, 2259, 829, 3301, 901, 3589, 2054, 12, 34, 122, 474, 1881, 3413, 1350, 1290, 1050, 90, 348, 1377, 1400, 1492, 1857, 3320, 977, 3894, 3275, 799, 3181, 424, 1682, 2618, 2267, 861, 3430, 1418, 1561, 2133, 326, 1290, 1050, 91, 350, 1386, 1433, 1622, 2379, 1310, 1130, 409, 1624, 2388, 1345, 1269, 966, 3851, 3103, 110, 428, 1699, 2686, 2538, 1947, 3678, 2412, 1444, 1666, 2556, 2018, 3963, 3549, 1896, 3476, 1602, 2299, 990, 3945, 3477, 1608, 2321, 1077, 199, 782, 3115, 158, 620, 2467, 1663, 2541, 1960, 3732, 2625, 2295, 975, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2093, 165, 645, 2568, 2065, 54, 204, 802, 3196, 484, 1923, 3582, 2028, 4004, 3713, 2552, 2002, 3899, 3293, 870, 3468, 1571, 2174, 492, 1956, 3716, 2561, 2037, 4037, 3847, 3085, 37, 133, 520, 2065, 54, 202, 795, 3166, 362, 1433, 1623, 2384, 1329, 1205, 709, 2821, 3080, 18, 57, 215, 846, 3370, 1177, 599, 2383, 1326, 1194, 665, 2648, 2385, 1333, 1221, 773, 3078, 9, 23, 77, 296, 1169, 566, 2252, 804, 3201, 501, 1991, 3853, 3110, 137, 536, 2131, 319, 1263, 941, 3750, 2698, 2588, 2147, 382, 1513, 1941, 3655, 2318, 1068, 163, 637, 2533, 1925, 3589, 2055, 13, 40, 145, 568, 2257, 823, 3277, 808, 3217, 567, 2253, 808, 3217, 567, 2253, 808, 3217, 567, 2253, 807, 3213, 551, 2189, 550, 2185, 534, 2121, 279, 1101, 295, 1165, 549, 2181, 519, 2061, 40, 145, 566, 2249, 791, 3149, 296, 1169, 567, 2253, 808, 3217, 567, 2253, 808, 3217, 567, 2253, 807, 3213, 551, 2189, 550, 2185, 534, 2121, 279, 1101, 295, 1165, 549, 2181, 519, 2061, 40, 145, 566, 2249, 791, 3149, 296, 1169, 567, 2253, 808, 3217, 567, 2253, 808, 3217, 568, 2257, 824, 3281, 821, 3269, 776, 3092, 67, 253, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1626, 2394, 1371, 1375, 1390, 1450, 1690, 2650, 2396, 1379, 1405, 1512, 1940, 3649, 2295, 974, 3881, 3224, 596, 2371, 1279, 1007, 4014, 3754, 2714, 2649, 2389, 1352, 1297, 1077, 197, 774, 3081, 24, 81, 310, 1225, 789, 3144, 275, 1086, 235, 926, 3691, 2462, 1644, 2465, 1656, 2516, 1858, 3321, 983, 3918, 3369, 1175, 590, 2348, 1185, 632, 2513, 1848, 3283, 829, 3304, 915, 3647, 2285, 936, 3729, 2614, 2252, 804, 3203, 510, 2025, 3991, 3661, 2342, 1162, 540, 2145, 373, 1477, 1800, 3090, 59, 222, 873, 3480, 1617, 2359, 1231, 815, 3245, 678, 2698, 2588, 2145, 373, 1477, 1798, 3082, 25, 88, 338, 1339, 1247, 878, 3499, 1693, 2664, 2452, 1601, 2293, 965, 3846, 3082, 25, 86, 330, 1307, 1119, 365, 1448, 1682, 2618, 2265, 854, 3403, 1310, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2680, 2514, 1850, 3290, 858, 3419, 1375, 1389, 1448, 1684, 2625, 2293, 968, 3860, 3139, 254, 1002, 3996, 3681, 2424, 1490, 1850, 3290, 858, 3419, 1375, 1390, 1452, 1698, 2684, 2530, 1914, 3546, 1882, 3419, 1374, 1385, 1432, 1620, 2369, 1269, 968, 3857, 3126, 204, 802, 3196, 484, 1921, 3575, 1997, 3877, 3208, 532, 2115, 253, 1000, 3986, 3644, 2273, 885, 3528, 1812, 3139, 255, 1008, 4019, 3775, 2799, 2992, 3764, 2756, 2819, 3071, 4080, 4019, 3775, 2798, 2986, 3739, 2655, 2413, 1448, 1683, 2622, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1782, 3020, 3874, 3193, 472, 1874, 3386, 1242, 860, 3428, 1412, 1538, 2044, 4068, 3972, 3585, 2040, 4049, 3896, 3282, 827, 3296, 884, 3524, 1794, 3067, 4064, 3956, 3524, 1794, 3067, 4064, 3956, 3524, 1796, 3075, 4093, 4071, 3983, 3629, 2215, 654, 2602, 2204, 609, 2424, 1490, 1851, 3295, 878, 3499, 1695, 2671, 2478, 1706, 2713, 2647, 2381, 1318, 1162, 537, 2136, 340, 1345, 1272, 980, 3906, 3323, 989, 3943, 3469, 1575, 2190, 556, 2209, 632, 2514, 1852, 3298, 891, 3551, 1901, 3495, 1679, 2608, 2226, 697, 2773, 2885, 3335, 1038, 41, 151, 591, 2352, 1201, 693, 2760, 2834, 3131, 221, 872, 3473, 1591, 2253, 807, 3213, 550, 2186, 539, 2143, 366, 1450, 1691, 2655, 2414, 1451, 1694, 2666, 2459, 1630, 2409, 1431, 1614, 2346, 1180, 610, 2428, 1508, 1924, 3586, 2044, 4066, 3962, 3545, 1879, 3408, 1332, 1217, 759, 3022, 3882, 3228, 609, 2424, 1492, 1860, 3330, 1019, 4064, 3956, 3524, 1796, 3074, 4089, 4055, 3920, 3380, 1220, 771, 3069, 4071, 3983, 3631, 2221, 680, 2707, 2621, 2280, 916, 3652, 2307, 1024, 4083, 4032, 3828, 3010, 3833, 3032, 3921, 3381, 1224, 785, 3128, 212, 835, 3325, 999, 3983, 3631, 2224, 692, 2756, 2820, 3075, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3131, 221, 871, 3470, 1577, 2198, 585, 2327, 1101, 293, 1159, 525, 2085, 133, 520, 2065, 54, 201, 791, 3150, 298, 1180, 610, 2425, 1495, 1869, 3366, 1164, 546, 2169, 470, 1868, 3362, 1146, 474, 1881, 3414, 1353, 1304, 1107, 317, 1256, 915, 3645, 2279, 909, 3621, 2182, 522, 2074, 92, 355, 1405, 1509, 1926, 3594, 2076, 99, 381, 1509, 1925, 3589, 2053, 6, 9, 22, 76, 292, 1153, 501, 1991, 3855, 3117, 168, 659, 2623, 2287, 941, 3749, 2693, 2566, 2060, 35, 126, 491, 1949, 3686, 2443, 1565, 2149, 390, 1547, 2077, 101, 390, 1547, 2077, 104, 402, 1596, 2276, 897, 3574, 1993, 3861, 3141, 264, 1041, 53, 197, 773, 3078, 12, 34, 124, 482, 1914, 3548, 1891, 3453, 1510, 1929, 3606, 2121, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1098, 281, 1110, 332, 1316, 1153, 501, 1990, 3849, 3094, 74, 281, 1110, 330, 1307, 1117, 360, 1427, 1599, 2285, 934, 3721, 2581, 2117, 261, 1029, 8, 18, 57, 213, 839, 3341, 1061, 133, 517, 2054, 9, 21, 70, 268, 1060, 131, 509, 2022, 3978, 3610, 2140, 355, 1405, 1512, 1939, 3645, 2277, 903, 3599, 2094, 172, 676, 2689, 2550, 1996, 3876, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 2437, 1541, 2055, 13, 37, 133, 517, 2055, 13, 37, 133, 517, 2055, 13, 40, 145, 565, 2247, 781, 3112, 145, 565, 2247, 781, 3109, 133, 517, 2054, 12, 33, 118, 459, 1823, 3183, 431, 1710, 2731, 2718, 2666, 2459, 1630, 2410, 1434, 1626, 2393, 1367, 1358, 1321, 1174, 587, 2333, 1125, 389, 1541, 2056, 18, 58, 217, 855, 3405, 1317, 1157, 517, 2054, 9, 22, 73, 278, 1098, 282, 1114, 345, 1365, 1349, 1286, 1033, 24, 82, 315, 1246, 873, 3477, 1608, 2324, 1090, 250, 985, 3925, 3397, 1285, 1031, 14, 41, 150, 588, 2339, 1149, 486, 1929, 3606, 2121, 278, 1098, 282, 1116, 356, 1410, 1532, 2017, 3957, 3525, 1798, 3082, 27, 94, 364, 1443, 1662, 2538, 1947, 3679, 2413, 1448, 1681, 2616, 2258, 825, 3288, 849, 3382, 1228, 804, 3201, 502, 1994, 3865, 3158, 331, 1310, 1129, 408, 1619, 2367, 1264, 947, 3773, 2792, 2961, 3637, 2245, 776, 3091, 61, 229, 903, 3598, 2091, 158, 617, 2453, 1605, 2309, 1029, 6, 10, 28, 100, 386, 1530, 2009, 3925, 3397, 1285, 1030, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3141, 261, 1030, 9, 23, 78, 298, 1179, 605, 2406, 1417, 1557, 2117, 262, 1034, 25, 85, 328, 1297, 1077, 197, 773, 3077, 8, 18, 57, 213, 837, 3334, 1034, 26, 89, 342, 1353, 1302, 1100, 292, 1156, 514, 2044, 4067, 3967, 3566, 1962, 3740, 2657, 2421, 1479, 1806, 3114, 154, 601, 2389, 1350, 1290, 1050, 90, 347, 1375, 1391, 1455, 1711, 2734, 2731, 2718, 2665, 2453, 1605, 2310, 1033, 23, 80, 306, 1209, 728, 2899, 3389, 1253, 901, 3590, 2058, 27, 94, 363, 1438, 1642, 2458, 1626, 2396, 1379, 1406, 1514, 1946, 3673, 2390, 1354, 1306, 1114, 347, 1374, 1385, 1431, 1614, 2346, 1178, 603, 2397, 1382, 1420, 1571, 2173, 486, 1930, 3612, 2148, 386, 1530, 2011, 3935, 3437, 1446, 1673, 2581, 2118, 265, 1046, 73, 278, 1097, 278, 1100, 289, 1141, 454, 1804, 3105, 120, 465, 1845, 3269, 776, 3090, 60, 225, 888, 3538, 1849, 3285, 837, 3334, 1034, 25, 85, 328, 1298, 1082, 219, 861, 3430, 1417, 1557, 2118, 266, 1050, 90, 348, 1379, 1406, 1514, 1948, 3682, 2425, 1493, 1863, 3343, 1070, 169, 661, 2630, 2313, 1046, 74, 282, 1114, 345, 1365, 1349, 1285, 1029, 6, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2197, 581, 2309, 1029, 7, 16, 49, 182, 713, 2837, 3142, 265, 1048, 84, 324, 1284, 1026, 4089, 4056, 3922, 3385, 1239, 848, 3378, 1211, 736, 2930, 3515, 1758, 2923, 3487, 1648, 2481, 1719, 2765, 2853, 3207, 528, 2097, 183, 720, 2868, 3266, 761, 3032, 3924, 3396, 1284, 1026, 4089, 4056, 3921, 3384, 1236, 836, 3332, 1025, 4088, 4049, 3895, 3280, 820, 3265, 760, 3026, 3900, 3300, 897, 3576, 2004, 3906, 3324, 994, 3961, 3543, 1870, 3372, 1186, 635, 2528, 1905, 3511, 1743, 2862, 3244, 676, 2692, 2561, 2039, 4046, 3882, 3226, 602, 2396, 1378, 1404, 1508, 1921, 3575, 1997, 3880, 3217, 565, 2245, 774, 3084, 36, 129, 503, 1998, 3883, 3231, 624, 2484, 1729, 2805, 3016, 3857, 3127, 207, 816, 3249, 695, 2768, 2866, 3257, 727, 2893, 3367, 1166, 554, 2201, 600, 2388, 1348, 1284, 1025, 4087, 4048, 3892, 3265, 759, 3021, 3879, 3214, 555, 2208, 628, 2500, 1795, 3071, 4078, 4010, 3738, 2651, 2400, 1395, 1469, 1767, 2959, 3630, 2218, 667, 2654, 2412, 1441, 1653, 2501, 1799, 3085, 39, 141, 552, 2196, 580, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 282, 1113, 343, 1357, 1319, 1165, 549, 2184, 531, 2109, 229, 902, 3594, 2075, 94, 363, 1437, 1637, 2438, 1546, 2076, 100, 386, 1530, 2010, 3931, 3421, 1381, 1415, 1551, 2093, 165, 646, 2571, 2080, 114, 444, 1763, 2941, 3560, 1940, 3650, 2297, 982, 3914, 3354, 1114, 348, 1377, 1399, 1487, 1837, 3237, 646, 2571, 2077, 101, 389, 1541, 2053, 6, 9, 24, 81, 312, 1236, 835, 3327, 1005, 4006, 3722, 2586, 2138, 345, 1365, 1352, 1300, 1090, 250, 986, 3930, 3418, 1369, 1366, 1354, 1306, 1113, 341, 1349, 1285, 1030, 9, 22, 74, 282, 1116, 356, 1410, 1529, 2006, 3913, 3350, 1097, 279, 1101, 296, 1170, 570, 2266, 859, 3422, 1386, 1433, 1624, 2386, 1338, 1243, 862, 3434, 1436, 1635, 2431, 1518, 1961, 3733, 2629, 2310, 1036, 33, 118, 458, 1817, 3157, 326, 1289, 1048, 81, 309, 1221, 776, 3090, 57, 213, 837, 3333, 1030, 9, 23, 78, 298, 1177, 597, 2373, 1286, 1036, 34, 121, 470, 1866, 3353, 1111, 336, 1330, 1209, 726, 2892, 3363, 1151, 493, 1959, 3725, 2597, 2181, 518, 2060, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2284, 931, 3709, 2533, 1925, 3590, 2059, 31, 111, 430, 1708, 2724, 2692, 2561, 2037, 4040, 3860, 3137, 246, 972, 3876, 3203, 509, 2024, 3988, 3649, 2294, 971, 3871, 3181, 423, 1677, 2600, 2196, 579, 2302, 1003, 3998, 3692, 2468, 1667, 2557, 2023, 3981, 3623, 2192, 561, 2229, 711, 2831, 3118, 169, 661, 2631, 2319, 1070, 169, 662, 2634, 2331, 1118, 363, 1438, 1644, 2466, 1659, 2526, 1899, 3487, 1646, 2473, 1685, 2629, 2312, 1041, 56, 210, 826, 3292, 865, 3445, 1478, 1802, 3098, 92, 355, 1405, 1510, 1931, 3613, 2149, 390, 1545, 2069, 69, 261, 1031, 16, 51, 192, 754, 3003, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 536, 2130, 315, 1245, 871, 3470, 1579, 2207, 623, 2477, 1702, 2699, 2590, 2153, 406, 1610, 2330, 1113, 343, 1358, 1321, 1173, 581, 2309, 1030, 9, 24, 83, 318, 1257, 917, 3656, 2321, 1077, 197, 775, 3085, 38, 140, 546, 2170, 473, 1877, 3397, 1285, 1032, 18, 58, 219, 863, 3438, 1449, 1686, 2636, 2338, 1145, 470, 1865, 3351, 1102, 298, 1179, 605, 2405, 1413, 1542, 2058, 27, 94, 362, 1434, 1626, 2393, 1368, 1362, 1339, 1246, 873, 3478, 1609, 2325, 1094, 266, 1050, 89, 344, 1362, 1339, 1246, 874, 3482, 1626, 2394, 1371, 1375, 1390, 1449, 1685, 2630, 2314, 1051, 94, 363, 1438, 1641, 2453, 1605, 2309, 1030, 10, 28, 98, 378, 1497, 1877, 3397, 1286, 1034, 26, 90, 345, 1367, 1358, 1322, 1178, 601, 2390, 1354, 1305, 1110, 330, 1308, 1121, 374, 1481, 1815, 3149, 295, 1166, 556, 2212, 641, 2550, 1993, 3864, 3155, 318, 1258, 921, 3670, 2378, 1306, 1114, 347, 1373, 1381, 1413, 1542, 2059, 30, 106, 410, 1627, 2398, 1385, 1429, 1606, 2316, 1058, 121, 471, 1869, 3365, 1158, 522, 2075, 93, 357, 1413, 1542, 2057, 21, 69, 261, 1030, 10, 26, 90, 347, 1375, 1390, 1450, 1690, 2650, 2394, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 635, 2527, 1902, 3499, 1693, 2662, 2441, 1560, 2130, 314, 1241, 853, 3399, 1295, 1070, 169, 663, 2637, 2341, 1159, 526, 2089, 149, 581, 2312, 1042, 59, 222, 874, 3482, 1627, 2399, 1390, 1450, 1690, 2649, 2392, 1364, 1346, 1274, 985, 3925, 3397, 1288, 1041, 53, 198, 780, 3105, 117, 454, 1801, 3095, 78, 298, 1179, 607, 2414, 1450, 1692, 2657, 2424, 1489, 1847, 3278, 809, 3222, 586, 2330, 1114, 347, 1374, 1386, 1436, 1634, 2426, 1498, 1882, 3420, 1380, 1410, 1529, 2006, 3914, 3354, 1114, 345, 1366, 1354, 1308, 1124, 388, 1540, 2050, 4090, 4060, 3939, 3454, 1514, 1946, 3674, 2393, 1365, 1350, 1290, 1050, 89, 344, 1361, 1334, 1228, 801, 3190, 457, 1816, 3153, 309, 1223, 781, 3112, 146, 571, 2270, 875, 3485, 1640, 2449, 1590, 2252, 804, 3201, 501, 1990, 3850, 3098, 90, 345, 1365, 1349, 1285, 1029, 8, 17, 53, 197, 773, 3077, 5, 5, 5, 6, 11, 29, 103, 399, 1582, 2217, 662, 2633, 2325, 1095, 270, 1067, 159, 621, 2471, 1678, 2604, 2211, 638, 2539, 1950, 3689, 2453, 1608, 2321, 1077, 198, 780, 3107, 127, 493, 1958, 3722, 2587, 2143, 365, 1445, 1672, 2577, 2102, 204, 802, 3193, 470, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1384, 1427, 1597, 2280, 915, 3646, 2282, 921, 3670, 2377, 1304, 1105, 312, 1236, 835, 3326, 1004, 4001, 3703, 2511, 1838, 3243, 670, 2666, 2458, 1626, 2396, 1377, 1399, 1485, 1830, 3209, 533, 2117, 264, 1041, 56, 211, 831, 3309, 933, 3717, 2566, 2059, 31, 111, 429, 1703, 2703, 2606, 2219, 669, 2662, 2442, 1562, 2138, 345, 1365, 1350, 1292, 1059, 126, 489, 1941, 3653, 2309, 1031, 15, 47, 174, 684, 2723, 2687, 2542, 1963, 3741, 2661, 2437, 1544, 2066, 60, 225, 885, 3527, 1805, 3110, 140, 548, 2177, 504, 2002, 3897, 3286, 841, 3350, 1100, 290, 1146, 475, 1887, 3437, 1446, 1673, 2582, 2121, 278, 1100, 291, 1150, 490, 1945, 3671, 2383, 1326, 1193, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3435, 1437, 1640, 2452, 1601, 2296, 977, 3896, 3282, 826, 3291, 862, 3436, 1441, 1653, 2502, 1802, 3099, 95, 365, 1445, 1669, 2568, 2067, 61, 230, 908, 3619, 2175, 494, 1964, 3748, 2691, 2559, 2031, 4015, 3759, 2733, 2728, 2705, 2616, 2259, 830, 3306, 924, 3684, 2436, 1537, 2039, 4046, 3884, 3236, 644, 2563, 2046, 4075, 3997, 3688, 2452, 1602, 2300, 995, 3966, 3564, 1954, 3708, 2532, 1924, 3588, 2051, 4093, 4070, 3979, 3615, 2160, 434, 1724, 2786, 2938, 3548, 1891, 3454, 1516, 1956, 3715, 2559, 2029, 4008, 3732, 2628, 2306, 1020, 4065, 3960, 3540, 1859, 3325, 999, 3982, 3627, 2206, 617, 2456, 1619, 2365, 1256, 915, 3647, 2285, 936, 3731, 2621, 2278, 908, 3619, 2173, 488, 1940, 3652, 2308, 1025, 4088, 4052, 3908, 3331, 1023, 4080, 4020, 3780, 2819, 3072, 4084, 4036, 3843, 3070, 4076, 4003, 3710, 2540, 1954, 3706, 2522, 1882, 3418, 1371, 1375, 1390, 1450, 1690, 2652, 2403, 1408, 1524, 1985, 3832, 3026, 3900, 3300, 900, 3586, 2044, 4067, 3967, 3566, 1962, 3740, 2660, 2436, 1538, 2044, 4067, 3965, 3560, 1937, 3637, 2246, 780, 3105, 118, 459, 1823, 3182, 426, 1692, 2659, 2430, 1516, 1955, 3711, 2541, 1957, 3719, 2574, 2092, 163, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2314, 1050, 89, 343, 1357, 1319, 1166, 555, 2207, 623, 2477, 1703, 2703, 2605, 2213, 647, 2573, 2088, 146, 572, 2274, 889, 3541, 1861, 3333, 1032, 19, 61, 230, 906, 3611, 2142, 361, 1429, 1606, 2314, 1050, 92, 354, 1403, 1503, 1901, 3495, 1677, 2598, 2187, 543, 2158, 427, 1694, 2667, 2463, 1645, 2469, 1671, 2573, 2086, 139, 542, 2156, 419, 1662, 2540, 1954, 3706, 2522, 1883, 3423, 1390, 1452, 1697, 2679, 2510, 1834, 3226, 602, 2394, 1369, 1365, 1350, 1292, 1057, 118, 459, 1824, 3187, 447, 1773, 2982, 3722, 2587, 2142, 361, 1429, 1607, 2318, 1068, 164, 642, 2556, 2018, 3964, 3553, 1912, 3537, 1847, 3280, 820, 3266, 761, 3030, 3915, 3358, 1131, 413, 1638, 2442, 1564, 2146, 380, 1508, 1922, 3578, 2010, 3930, 3420, 1377, 1398, 1482, 1818, 3164, 355, 1405, 1510, 1930, 3610, 2139, 350, 1387, 1438, 1641, 2453, 1606, 2316, 1057, 119, 463, 1837, 3240, 658, 2620, 2273, 886, 3532, 1825, 3190, 460, 1825, 3192, 467, 1853, 3302, 906, 3610, 2138, 346, 1370, 1371, 1373, 1382, 1417, 1558, 2124, 290, 1146, 474, 1884, 3426, 1402, 1500, 1892, 3459, 1535, 2029, 4007, 3725, 2598, 2185, 533, 2117, 262, 1036, 34, 123, 478, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2214, 652, 2595, 2175, 495, 1968, 3764, 2755, 2814, 3049, 3989, 3654, 2314, 1050, 90, 346, 1370, 1370, 1372, 1378, 1401, 1494, 1866, 3354, 1114, 346, 1370, 1369, 1368, 1362, 1337, 1240, 849, 3384, 1233, 823, 3277, 808, 3220, 580, 2306, 1018, 4058, 3931, 3421, 1383, 1423, 1581, 2214, 652, 2594, 2170, 473, 1880, 3411, 1343, 1261, 936, 3732, 2625, 2294, 972, 3876, 3202, 507, 2014, 3946, 3484, 1633, 2422, 1483, 1822, 3179, 415, 1646, 2473, 1685, 2631, 2319, 1070, 171, 672, 2674, 2492, 1761, 2934, 3530, 1819, 3168, 371, 1471, 1774, 2988, 3747, 2687, 2542, 1962, 3740, 2660, 2435, 1535, 2030, 4011, 3743, 2671, 2477, 1701, 2693, 2568, 2066, 60, 227, 894, 3564, 1956, 3716, 2561, 2038, 4042, 3865, 3159, 333, 1320, 1172, 579, 2304, 1010, 4028, 3809, 2936, 3539, 1855, 3309, 935, 3727, 2608, 2227, 704, 2803, 3008, 3828, 3011, 3839, 3053, 4006, 3722, 2586, 2138, 346, 1372, 1379, 1406, 1516, 1954, 3706, 2522, 1882, 3417, 1365, 1352, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 751, 2989, 3752, 2706, 2619, 2271, 879, 3503, 1712, 2737, 2743, 2768, 2868, 3268, 770, 3065, 4053, 3910, 3339, 1056, 116, 449, 1783, 3023, 3888, 3252, 706, 2811, 3039, 3951, 3504, 1716, 2756, 2820, 3073, 4088, 4050, 3897, 3285, 839, 3343, 1070, 169, 664, 2644, 2372, 1281, 1016, 4052, 3905, 3319, 975, 3888, 3252, 707, 2816, 3060, 4036, 3842, 3067, 4062, 3948, 3492, 1666, 2556, 2018, 3963, 3552, 1908, 3524, 1793, 3061, 4039, 3856, 3124, 196, 772, 3076, 4100, 4097, 4087, 4048, 3892, 3265, 758, 3020, 3876, 3204, 515, 2048, 4084, 4034, 3836, 3044, 3970, 3579, 2013, 3941, 3464, 1553, 2104, 210, 825, 3285, 839, 3343, 1072, 180, 708, 2817, 3063, 4048, 3892, 3265, 760, 3028, 3908, 3329, 1015, 4048, 3889, 3253, 710, 2826, 3100, 97, 376, 1489, 1847, 3280, 820, 3267, 768, 3060, 4033, 3829, 3015, 3855, 3120, 177, 693, 2760, 2836, 3140, 260, 1025, 4088, 4052, 3905, 3320, 979, 3903, 3309, 936, 3729, 2615, 2253, 808, 3217, 568, 2260, 833, 3320, 980, 3908, 3332, 1027, 4094, 4076, 4001, 3701, 2503, 1805, 3112, 148, 577, 2296, 977, 3895, 3277, 808, 3217, 567, 2254, 811, 3229, 616, 2449, 1591, 2255, 816, 3250, 699, 2783, 2926, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1930, 3610, 2138, 345, 1365, 1352, 1297, 1079, 206, 810, 3227, 607, 2415, 1455, 1712, 2738, 2745, 2775, 2895, 3374, 1194, 666, 2650, 2395, 1373, 1382, 1420, 1569, 2166, 458, 1818, 3164, 353, 1398, 1481, 1816, 3153, 310, 1227, 797, 3174, 394, 1562, 2139, 350, 1386, 1434, 1626, 2394, 1369, 1366, 1353, 1304, 1107, 318, 1260, 929, 3701, 2502, 1801, 3093, 70, 265, 1046, 74, 282, 1115, 349, 1382, 1418, 1564, 2146, 377, 1494, 1868, 3364, 1153, 502, 1996, 3873, 3189, 455, 1806, 3113, 151, 589, 2344, 1170, 570, 2266, 860, 3426, 1402, 1498, 1881, 3414, 1355, 1311, 1133, 422, 1675, 2590, 2153, 407, 1615, 2350, 1193, 662, 2634, 2332, 1121, 373, 1480, 1812, 3137, 247, 973, 3880, 3219, 574, 2282, 924, 3684, 2434, 1530, 2012, 3939, 3454, 1514, 1947, 3679, 2413, 1448, 1682, 2618, 2266, 858, 3418, 1372, 1380, 1409, 1528, 2003, 3901, 3301, 902, 3593, 2070, 76, 290, 1146, 474, 1882, 3418, 1369, 1368, 1362, 1340, 1252, 898, 3578, 2011, 3935, 3438, 1449, 1686, 2635, 2333, 1125, 390, 1546, 2074, 92, 355, 1408, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1641, 2455, 1613, 2342, 1162, 538, 2137, 341, 1349, 1286, 1034, 27, 94, 363, 1438, 1641, 2456, 1620, 2370, 1273, 984, 3923, 3389, 1255, 910, 3626, 2202, 603, 2398, 1386, 1433, 1624, 2385, 1334, 1227, 798, 3179, 415, 1646, 2475, 1694, 2665, 2454, 1609, 2326, 1097, 277, 1096, 273, 1079, 206, 809, 3221, 581, 2311, 1037, 38, 138, 538, 2137, 341, 1349, 1286, 1035, 31, 110, 426, 1692, 2658, 2427, 1502, 1899, 3485, 1637, 2437, 1541, 2054, 9, 21, 69, 264, 1041, 54, 201, 790, 3148, 290, 1145, 469, 1861, 3335, 1038, 44, 162, 633, 2517, 1861, 3333, 1032, 20, 65, 248, 980, 3905, 3317, 966, 3850, 3097, 86, 331, 1311, 1135, 429, 1701, 2695, 2574, 2089, 150, 587, 2335, 1133, 422, 1673, 2581, 2118, 267, 1054, 105, 406, 1609, 2325, 1093, 262, 1034, 25, 86, 330, 1306, 1113, 341, 1350, 1290, 1050, 91, 350, 1385, 1432, 1618, 2363, 1247, 878, 3497, 1685, 2629, 2310, 1035, 30, 108, 418, 1659, 2527, 1901, 3494, 1674, 2585, 2133, 325, 1285, 1032, 20, 66, 249, 982, 3914, 3355, 1118, 364, 1444, 1668, 2563, 2046, 4073, 3992, 3668, 2371, 1277, 999, 3981, 3624, 2196, 580, 2308, 1027, 4094, 4075, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 4011, 3744, 2675, 2494, 1771, 2975, 3693, 2470, 1674, 2587, 2143, 367, 1455, 1709, 2727, 2702, 2602, 2202, 602, 2393, 1365, 1351, 1296, 1076, 194, 763, 3037, 3943, 3470, 1579, 2208, 628, 2499, 1791, 3054, 4010, 3737, 2645, 2376, 1299, 1087, 240, 946, 3771, 2783, 2926, 3500, 1700, 2692, 2562, 2044, 4066, 3961, 3542, 1868, 3362, 1148, 481, 1912, 3540, 1859, 3326, 1004, 4001, 3701, 2501, 1800, 3092, 68, 257, 1013, 4040, 3860, 3137, 248, 980, 3905, 3317, 967, 3853, 3112, 148, 580, 2306, 1019, 4062, 3948, 3492, 1668, 2563, 2047, 4080, 4020, 3778, 2812, 3041, 3960, 3538, 1852, 3299, 895, 3565, 1958, 3721, 2584, 2130, 314, 1242, 858, 3418, 1371, 1374, 1386, 1433, 1623, 2382, 1322, 1178, 601, 2391, 1358, 1322, 1178, 603, 2398, 1386, 1436, 1636, 2436, 1539, 2046, 4074, 3996, 3684, 2436, 1539, 2047, 4079, 4016, 3764, 2755, 2815, 3055, 4013, 3752, 2708, 2627, 2301, 997, 3973, 3590, 2059, 30, 108, 420, 1668, 2564, 2050, 4089, 4054, 3916, 3364, 1156, 516, 2052, 4099, 4094, 4074, 3996, 3681, 2423, 1486, 1836, 3236, 641, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1539, 2045, 4072, 3986, 3641, 2261, 838, 3338, 1052, 97, 375, 1485, 1830, 3211, 541, 2149, 392, 1555, 2111, 240, 947, 3773, 2791, 2959, 3630, 2219, 671, 2670, 2476, 1700, 2691, 2558, 2027, 3999, 3693, 2472, 1684, 2627, 2302, 1004, 4003, 3712, 2548, 1988, 3843, 3070, 4076, 4001, 3704, 2513, 1846, 3274, 794, 3163, 352, 1393, 1462, 1739, 2846, 3178, 412, 1636, 2436, 1538, 2043, 4062, 3948, 3490, 1660, 2530, 1914, 3547, 1885, 3432, 1425, 1592, 2257, 824, 3284, 836, 3329, 1013, 4040, 3857, 3128, 212, 833, 3318, 972, 3873, 3189, 455, 1808, 3123, 192, 753, 3000, 3793, 2870, 3273, 792, 3153, 309, 1221, 774, 3084, 36, 132, 516, 2050, 4092, 4067, 3965, 3560, 1940, 3650, 2298, 986, 3929, 3416, 1364, 1346, 1274, 986, 3930, 3418, 1371, 1373, 1382, 1419, 1567, 2159, 430, 1706, 2714, 2652, 2404, 1410, 1530, 2011, 3935, 3437, 1448, 1683, 2621, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1545, 2069, 69, 262, 1036, 34, 121, 469, 1862, 3339, 1055, 109, 422, 1675, 2589, 2151, 397, 1574, 2188, 545, 2165, 455, 1805, 3112, 145, 565, 2247, 783, 3117, 165, 646, 2572, 2081, 119, 461, 1829, 3205, 517, 2053, 7, 15, 45, 167, 653, 2598, 2185, 533, 2118, 266, 1049, 86, 331, 1310, 1131, 413, 1640, 2450, 1593, 2264, 849, 3382, 1228, 803, 3197, 488, 1937, 3637, 2245, 773, 3080, 18, 59, 223, 878, 3498, 1691, 2656, 2417, 1462, 1737, 2837, 3141, 261, 1031, 14, 43, 157, 613, 2439, 1549, 2086, 139, 542, 2155, 414, 1642, 2459, 1629, 2406, 1420, 1571, 2174, 489, 1941, 3653, 2309, 1029, 7, 14, 43, 158, 619, 2461, 1637, 2438, 1545, 2069, 69, 263, 1038, 41, 152, 596, 2369, 1269, 966, 3850, 3100, 97, 374, 1484, 1828, 3201, 501, 1991, 3853, 3110, 137, 534, 2123, 287, 1133, 421, 1669, 2565, 2054, 9, 21, 70, 265, 1045, 72, 273, 1080, 210, 826, 3289, 854, 3402, 1306, 1113, 342, 1356, 1313, 1143, 461, 1829, 3205, 519, 2063, 45, 165, 647, 2573, 2088, 147, 575, 2285, 933, 3718, 2569, 2070, 75, 285, 1126, 393, 1559, 2126, 300, 1185, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 2246, 777, 3094, 73, 279, 1101, 294, 1162, 539, 2142, 362, 1435, 1630, 2411, 1437, 1638, 2442, 1564, 2146, 379, 1501, 1895, 3469, 1574, 2188, 548, 2179, 509, 2022, 3977, 3606, 2121, 279, 1102, 299, 1182, 617, 2453, 1605, 2309, 1030, 11, 29, 101, 390, 1547, 2077, 103, 397, 1574, 2185, 533, 2118, 266, 1052, 97, 373, 1479, 1805, 3110, 137, 533, 2117, 261, 1031, 13, 37, 134, 523, 2079, 110, 426, 1689, 2645, 2375, 1294, 1065, 149, 582, 2316, 1058, 121, 469, 1861, 3333, 1032, 17, 53, 199, 783, 3117, 165, 645, 2568, 2066, 59, 221, 870, 3468, 1571, 2175, 493, 1957, 3720, 2580, 2113, 247, 973, 3879, 3214, 555, 2206, 619, 2461, 1640, 2449, 1591, 2255, 813, 3239, 653, 2600, 2195, 573, 2279, 909, 3621, 2182, 521, 2069, 69, 261, 1029, 6, 9, 24, 81, 309, 1224, 786, 3131, 221, 869, 3464, 1553, 2104, 210, 825, 3286, 841, 3349, 1093, 261, 1032, 18, 59, 221, 871, 3470, 1579, 2205, 613, 2437, 1541, 2055, 15, 45, 166, 652, 2593, 2165, 453, 1798, 3082, 25, 87, 333, 1318, 1164, 548, 2177, 501, 1989, 3846, 3082, 25, 85, 325, 1287, 1037, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1898, 3484, 1634, 2426, 1497, 1877, 3400, 1298, 1082, 217, 855, 3406, 1321, 1173, 581, 2311, 1038, 44, 161, 630, 2505, 1815, 3151, 301, 1189, 645, 2566, 2060, 34, 122, 473, 1880, 3409, 1335, 1229, 805, 3206, 524, 2082, 121, 469, 1863, 3341, 1062, 138, 540, 2145, 374, 1482, 1818, 3163, 349, 1383, 1421, 1576, 2193, 565, 2247, 781, 3111, 141, 549, 2183, 526, 2090, 154, 604, 2401, 1397, 1478, 1802, 3100, 97, 375, 1485, 1830, 3210, 537, 2134, 332, 1315, 1151, 494, 1963, 3742, 2666, 2457, 1622, 2377, 1304, 1107, 317, 1253, 901, 3592, 2066, 59, 222, 874, 3483, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 264, 1042, 57, 216, 850, 3388, 1252, 897, 3574, 1995, 3871, 3181, 422, 1674, 2585, 2134, 330, 1307, 1120, 371, 1469, 1766, 2955, 3613, 2150, 396, 1572, 2177, 504, 2002, 3897, 3286, 843, 3359, 1136, 434, 1723, 2781, 2917, 3461, 1541, 2053, 8, 19, 62, 236, 929, 3704, 2516, 1860, 3330, 1020, 4068, 3969, 3573, 1992, 3860, 3137, 248, 980, 3907, 3325, 1000, 3988, 3649, 2293, 968, 3860, 3138, 252, 996, 3972, 3585, 2040, 4050, 3898, 3289, 853, 3398, 1291, 1056, 116, 452, 1796, 3074, 4091, 4061, 3943, 3469, 1576, 2193, 567, 2256, 817, 3255, 717, 2853, 3208, 532, 2116, 257, 1013, 4037, 3845, 3077, 5, 7, 13, 39, 141, 552, 2196, 578, 2297, 984, 3924, 3395, 1277, 998, 3978, 3609, 2136, 338, 1339, 1245, 871, 3469, 1573, 2181, 518, 2059, 30, 105, 408, 1620, 2372, 1282, 1020, 4065, 3957, 3526, 1801, 3094, 74, 284, 1121, 374, 1482, 1819, 3166, 362, 1436, 1636, 2433, 1527, 1997, 3879, 3215, 557, 2214, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 4050, 3898, 3292, 865, 3448, 1489, 1847, 3277, 805, 3208, 529, 2103, 207, 815, 3245, 678, 2699, 2590, 2156, 419, 1663, 2541, 1960, 3729, 2614, 2251, 798, 3177, 405, 1606, 2314, 1052, 97, 373, 1477, 1799, 3086, 42, 154, 602, 2396, 1378, 1404, 1506, 1916, 3554, 1915, 3550, 1899, 3487, 1645, 2469, 1672, 2577, 2104, 209, 821, 3272, 787, 3134, 235, 927, 3694, 2475, 1694, 2666, 2460, 1636, 2433, 1528, 2001, 3895, 3277, 805, 3205, 517, 2056, 19, 63, 238, 938, 3739, 2654, 2410, 1434, 1625, 2390, 1355, 1309, 1128, 401, 1592, 2259, 831, 3311, 943, 3760, 2740, 2756, 2819, 3071, 4079, 4015, 3758, 2731, 2718, 2668, 2468, 1668, 2564, 2049, 4086, 4044, 3876, 3204, 513, 2039, 4045, 3878, 3210, 540, 2146, 378, 1498, 1882, 3419, 1375, 1390, 1450, 1692, 2659, 2429, 1512, 1938, 3642, 2266, 857, 3416, 1361, 1336, 1235, 831, 3309, 936, 3730, 2620, 2274, 889, 3542, 1866, 3353, 1110, 331, 1311, 1133, 424, 1681, 2614, 2252, 804, 3203, 510, 2026, 3994, 3676, 2403, 1407, 1518, 1963, 3743, 2670, 2476, 1698, 2683, 2526, 1900, 3489, 1653, 2501, 1799, 3085, 37, 136, 532, 2114, 252, 994, 3961, 3543, 1869, 3366, 1164, 547, 2176, 498, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3580, 2020, 3971, 3584, 2036, 4036, 3842, 3065, 4055, 3919, 3374, 1196, 674, 2681, 2517, 1862, 3339, 1055, 111, 429, 1704, 2707, 2622, 2281, 919, 3662, 2347, 1182, 620, 2468, 1665, 2552, 2004, 3907, 3326, 1004, 4001, 3704, 2516, 1859, 3325, 1000, 3988, 3649, 2296, 977, 3893, 3270, 780, 3108, 131, 512, 2034, 4028, 3809, 2933, 3527, 1807, 3119, 176, 692, 2756, 2817, 3061, 4040, 3859, 3133, 232, 913, 3640, 2259, 832, 3315, 957, 3815, 2957, 3624, 2194, 572, 2273, 888, 3539, 1855, 3312, 945, 3768, 2769, 2870, 3275, 800, 3187, 448, 1779, 3007, 3821, 2983, 3726, 2604, 2211, 637, 2535, 1934, 3627, 2207, 621, 2472, 1683, 2623, 2286, 940, 3748, 2689, 2551, 2000, 3889, 3255, 717, 2856, 3217, 568, 2259, 832, 3313, 952, 3793, 2871, 3278, 811, 3230, 620, 2466, 1659, 2526, 1899, 3485, 1637, 2437, 1541, 2053, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 22, 73, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 278, 1097, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2221, 677, 2696, 2579, 2109, 229, 903, 3597, 2086, 139, 541, 2149, 390, 1548, 2083, 126, 489, 1943, 3662, 2346, 1178, 603, 2397, 1382, 1418, 1562, 2140, 353, 1399, 1485, 1830, 3209, 533, 2117, 261, 1030, 11, 30, 105, 406, 1609, 2327, 1102, 299, 1181, 615, 2446, 1580, 2212, 641, 2549, 1991, 3854, 3114, 154, 604, 2402, 1404, 1505, 1912, 3539, 1853, 3302, 907, 3613, 2149, 389, 1543, 2061, 39, 141, 549, 2184, 530, 2106, 218, 859, 3422, 1385, 1430, 1612, 2340, 1155, 509, 2023, 3981, 3621, 2182, 521, 2070, 75, 286, 1130, 409, 1621, 2373, 1285, 1030, 9, 22, 73, 278, 1100, 290, 1145, 472, 1876, 3393, 1269, 965, 3846, 3082, 25, 86, 332, 1313, 1143, 462, 1835, 3230, 618, 2457, 1623, 2381, 1319, 1165, 549, 2181, 520, 2065, 56, 211, 830, 3306, 924, 3683, 2431, 1517, 1960, 3729, 2614, 2250, 795, 3166, 362, 1434, 1627, 2397, 1381, 1415, 1549, 2085, 136, 531, 2109, 230, 906, 3612, 2145, 374, 1483, 1822, 3179, 413, 1639, 2445, 1576, 2194, 571, 2269, 872, 3474, 1594, 2266, 858, 3419, 1373, 1381, 1414, 1548, 2082, 124, 484, 1922, 3577, 2006, 3914, 3354, 1114, 345, 1365, 1352, 1298, 1084, 225, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1114, 345, 1368, 1362, 1337, 1239, 846, 3372, 1185, 629, 2501, 1800, 3091, 62, 235, 926, 3691, 2462, 1643, 2463, 1645, 2469, 1669, 2565, 2054, 10, 25, 85, 325, 1286, 1036, 35, 126, 491, 1950, 3691, 2462, 1641, 2454, 1611, 2334, 1130, 411, 1630, 2412, 1442, 1658, 2522, 1882, 3418, 1372, 1378, 1404, 1506, 1914, 3545, 1877, 3397, 1287, 1038, 43, 159, 621, 2471, 1679, 2606, 2220, 676, 2689, 2551, 1998, 3882, 3227, 606, 2410, 1434, 1625, 2390, 1354, 1305, 1109, 326, 1290, 1049, 86, 329, 1301, 1093, 261, 1031, 13, 37, 133, 518, 2057, 21, 69, 263, 1039, 45, 166, 650, 2586, 2140, 355, 1405, 1509, 1926, 3596, 2081, 120, 467, 1854, 3305, 918, 3657, 2325, 1094, 268, 1059, 126, 489, 1944, 3666, 2363, 1245, 871, 3469, 1574, 2188, 548, 2177, 501, 1989, 3845, 3079, 13, 39, 144, 562, 2234, 729, 2904, 3412, 1347, 1277, 997, 3973, 3589, 2055, 14, 41, 151, 590, 2346, 1178, 603, 2398, 1388, 1443, 1661, 2534, 1929, 3606, 2121, 280, 1106, 314, 1244, 866, 3449, 1493, 1862, 3338, 1051, 93, 360, 1426, 1593, 2261, 838, 3338, 1052, 98, 378, 1498, 1883, 3421, 1383, 1422, 1577, 2198, 587, 2333, 1127, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2926, 3497, 1687, 2637, 2343, 1165, 551, 2191, 560, 2228, 708, 2820, 3073, 4088, 4052, 3908, 3329, 1015, 4047, 3886, 3243, 669, 2661, 2438, 1548, 2084, 132, 513, 2037, 4039, 3856, 3121, 184, 724, 2881, 3317, 967, 3856, 3124, 196, 772, 3073, 4088, 4052, 3906, 3323, 989, 3944, 3474, 1595, 2272, 884, 3524, 1796, 3074, 4092, 4066, 3961, 3544, 1876, 3393, 1269, 967, 3856, 3122, 187, 735, 2925, 3493, 1670, 2572, 2084, 131, 509, 2023, 3981, 3623, 2189, 550, 2188, 548, 2178, 506, 2010, 3929, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1286, 1034, 25, 86, 332, 1314, 1145, 470, 1866, 3353, 1111, 334, 1321, 1173, 581, 2310, 1035, 30, 105, 405, 1606, 2313, 1045, 70, 268, 1058, 122, 475, 1887, 3438, 1449, 1688, 2642, 2362, 1241, 854, 3404, 1315, 1150, 492, 1956, 3713, 2549, 1992, 3860, 3138, 249, 984, 3921, 3381, 1221, 776, 3089, 56, 209, 823, 3277, 808, 3220, 579, 2302, 1002, 3993, 3670, 2379, 1309, 1127, 397, 1573, 2182, 521, 2070, 73, 280, 1106, 315, 1245, 870, 3466, 1561, 2134, 329, 1304, 1106, 314, 1242, 860, 3425, 1398, 1483, 1821, 3175, 398, 1580, 2209, 629, 2501, 1797, 3077, 5, 5, 5, 8, 20, 65, 245, 968, 3858, 3129, 216, 849, 3384, 1233, 824, 3281, 822, 3274, 794, 3162, 348, 1377, 1397, 1477, 1798, 3081, 21, 70, 268, 1059, 126, 490, 1948, 3683, 2430, 1516, 1954, 3708, 2531, 1919, 3565, 1957, 3717, 2565, 2056, 18, 58, 217, 856, 3412, 1347, 1277, 999, 3981, 3621, 2181, 520, 2065, 53, 197, 774, 3084, 35, 125, 485, 1925, 3590, 2057, 24, 81, 312, 1233, 821, 3269, 775, 3085, 38, 137, 533, 2117, 264, 1044, 65, 245, 968, 3857, 3125, 197, 775, 3085, 37, 133, 517, 2054, 9, 21, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1654, 2505, 1813, 3142, 265, 1046, 74, 282, 1114, 347, 1374, 1386, 1433, 1624, 2385, 1333, 1222, 778, 3098, 91, 351, 1389, 1448, 1681, 2613, 2245, 773, 3079, 13, 39, 142, 555, 2207, 622, 2474, 1690, 2651, 2397, 1383, 1422, 1577, 2197, 584, 2322, 1083, 221, 872, 3474, 1596, 2276, 898, 3579, 2015, 3950, 3498, 1689, 2647, 2381, 1319, 1166, 554, 2204, 609, 2421, 1479, 1806, 3114, 154, 601, 2392, 1361, 1336, 1234, 826, 3291, 863, 3439, 1453, 1704, 2708, 2625, 2296, 980, 3905, 3320, 977, 3894, 3275, 797, 3173, 389, 1541, 2054, 10, 26, 91, 351, 1389, 1448, 1681, 2613, 2248, 788, 3140, 259, 1022, 4074, 3996, 3682, 2426, 1497, 1880, 3409, 1334, 1225, 790, 3145, 280, 1105, 310, 1226, 794, 3163, 350, 1388, 1444, 1668, 2562, 2043, 4063, 3951, 3501, 1702, 2698, 2587, 2143, 367, 1453, 1701, 2693, 2568, 2066, 59, 222, 875, 3485, 1638, 2442, 1562, 2137, 344, 1362, 1337, 1240, 849, 3383, 1231, 815, 3246, 681, 2709, 2629, 2309, 1030, 10, 26, 91, 349, 1384, 1428, 1602, 2298, 986, 3930, 3417, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 53, 197, 775, 3086, 44, 164, 641, 2550, 1993, 3862, 3146, 281, 1109, 325, 1285, 1029, 8, 18, 58, 219, 863, 3439, 1454, 1708, 2723, 2685, 2534, 1932, 3617, 2166, 457, 1816, 3155, 317, 1254, 906, 3610, 2140, 354, 1401, 1494, 1865, 3349, 1093, 264, 1042, 58, 219, 861, 3429, 1413, 1541, 2055, 13, 40, 145, 567, 2255, 813, 3237, 645, 2566, 2060, 36, 129, 502, 1995, 3870, 3179, 414, 1641, 2453, 1606, 2314, 1050, 92, 354, 1401, 1496, 1873, 3381, 1224, 788, 3138, 251, 989, 3944, 3476, 1604, 2306, 1020, 4068, 3970, 3580, 2020, 3970, 3579, 2013, 3943, 3471, 1582, 2220, 676, 2689, 2552, 2004, 3908, 3330, 1020, 4068, 3972, 3588, 2051, 4096, 4084, 4036, 3841, 3062, 4044, 3876, 3203, 510, 2025, 3989, 3654, 2316, 1057, 120, 467, 1853, 3303, 911, 3631, 2221, 680, 2708, 2625, 2294, 972, 3876, 3204, 516, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 475, 1886, 3436, 1441, 1654, 2506, 1819, 3167, 367, 1454, 1707, 2718, 2666, 2459, 1631, 2414, 1451, 1694, 2666, 2460, 1635, 2430, 1514, 1947, 3678, 2409, 1429, 1606, 2313, 1046, 74, 282, 1116, 355, 1405, 1510, 1930, 3611, 2143, 365, 1448, 1682, 2618, 2265, 855, 3406, 1322, 1177, 599, 2381, 1317, 1159, 526, 2092, 163, 638, 2538, 1946, 3674, 2396, 1380, 1409, 1526, 1993, 3861, 3144, 275, 1086, 233, 920, 3665, 2358, 1228, 801, 3189, 454, 1802, 3100, 97, 375, 1485, 1830, 3211, 542, 2153, 407, 1614, 2345, 1175, 589, 2342, 1162, 537, 2136, 337, 1334, 1226, 793, 3160, 337, 1336, 1233, 821, 3269, 776, 3089, 54, 204, 802, 3196, 482, 1914, 3547, 1888, 3442, 1467, 1758, 2921, 3478, 1612, 2337, 1142, 460, 1825, 3192, 468, 1857, 3318, 969, 3862, 3148, 289, 1142, 460, 1826, 3194, 473, 1878, 3404, 1316, 1154, 507, 2013, 3943, 3472, 1587, 2237, 743, 2958, 3628, 2212, 644, 2561, 2040, 4050, 3900, 3300, 898, 3579, 2014, 3946, 3484, 1633, 2421, 1477, 1797, 3080, 17, 55, 205, 805, 3207, 527, 2093, 168, 658, 2619, 2270, 876, 3490, 1658, 2522, 1882, 3420, 1380, 1410, 1529, 2006, 3916, 3362, 1148, 484, 1923, 3583, 2030, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2752, 2803, 3006, 3820, 2980, 3716, 2563, 2048, 4084, 4035, 3840, 3060, 4036, 3843, 3072, 4084, 4035, 3840, 3059, 4032, 3828, 3011, 3839, 3055, 4016, 3764, 2756, 2820, 3074, 4092, 4068, 3970, 3578, 2010, 3930, 3420, 1379, 1408, 1524, 1987, 3839, 3055, 4016, 3763, 2752, 2803, 3007, 3822, 2987, 3743, 2671, 2480, 1713, 2743, 2765, 2854, 3210, 538, 2139, 351, 1391, 1454, 1707, 2719, 2672, 2482, 1721, 2776, 2898, 3385, 1240, 850, 3386, 1244, 868, 3459, 1536, 2036, 4035, 3837, 3048, 3988, 3652, 2308, 1027, 4095, 4079, 4015, 3757, 2728, 2708, 2626, 2300, 996, 3972, 3588, 2052, 4098, 4091, 4064, 3956, 3524, 1796, 3076, 4099, 4096, 4083, 4031, 3822, 2988, 3747, 2688, 2547, 1984, 3828, 3012, 3842, 3066, 4060, 3939, 3455, 1518, 1963, 3743, 2672, 2484, 1731, 2813, 3048, 3988, 3650, 2300, 994, 3964, 3556, 1923, 3582, 2027, 4000, 3700, 2499, 1792, 3060, 4036, 3843, 3070, 4074, 3993, 3672, 2386, 1339, 1245, 872, 3476, 1603, 2304, 1011, 4030, 3817, 2965, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1048, 83, 319, 1261, 934, 3724, 2594, 2169, 472, 1876, 3395, 1278, 1002, 3995, 3678, 2412, 1444, 1666, 2556, 2019, 3966, 3564, 1955, 3711, 2543, 1965, 3752, 2708, 2627, 2301, 998, 3979, 3615, 2159, 429, 1703, 2701, 2599, 2189, 549, 2184, 531, 2110, 236, 930, 3708, 2532, 1924, 3586, 2044, 4066, 3964, 3555, 1918, 3564, 1956, 3716, 2563, 2046, 4076, 4004, 3713, 2552, 2004, 3908, 3332, 1028, 4100, 4098, 4091, 4063, 3951, 3502, 1708, 2724, 2692, 2564, 2050, 4090, 4058, 3930, 3419, 1375, 1391, 1454, 1706, 2714, 2652, 2401, 1398, 1483, 1821, 3176, 404, 1601, 2296, 979, 3903, 3310, 938, 3739, 2654, 2412, 1444, 1668, 2564, 2049, 4086, 4042, 3866, 3164, 356, 1412, 1540, 2052, 4097, 4088, 4052, 3905, 3319, 976, 3891, 3264, 754, 3003, 3806, 2922, 3483, 1629, 2408, 1425, 1591, 2254, 811, 3230, 619, 2462, 1644, 2468, 1668, 2564, 2050, 4091, 4061, 3943, 3471, 1582, 2220, 676, 2692, 2561, 2037, 4040, 3859, 3133, 232, 913, 3640, 2258, 827, 3293, 870, 3468, 1569, 2168, 468, 1859, 3326, 1004, 4003, 3711, 2543, 1965, 3752, 2705, 2616, 2260, 833, 3319, 974, 3882, 3226, 603, 2399, 1391, 1453, 1704, 2707, 2623, 2285, 934, 3722, 2588, 2148, 388, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 357, 1413, 1542, 2058, 27, 93, 360, 1428, 1601, 2293, 965, 3846, 3081, 23, 77, 293, 1157, 520, 2065, 53, 199, 782, 3115, 159, 621, 2471, 1678, 2601, 2197, 584, 2321, 1078, 201, 791, 3150, 299, 1183, 621, 2470, 1676, 2593, 2168, 465, 1845, 3272, 785, 3126, 203, 797, 3173, 391, 1551, 2095, 175, 685, 2725, 2696, 2580, 2115, 253, 999, 3981, 3622, 2185, 533, 2118, 266, 1052, 98, 379, 1501, 1896, 3473, 1590, 2250, 795, 3165, 359, 1423, 1581, 2213, 648, 2580, 2114, 251, 989, 3941, 3461, 1541, 2054, 12, 33, 117, 453, 1797, 3077, 5, 5, 5, 5, 5, 6, 12, 34, 122, 473, 1877, 3398, 1292, 1060, 131, 509, 2024, 3987, 3647, 2285, 936, 3729, 2616, 2257, 824, 3281, 821, 3269, 776, 3092, 67, 254, 1004, 4004, 3716, 2562, 2043, 4061, 3943, 3471, 1582, 2217, 663, 2637, 2341, 1157, 520, 2068, 68, 257, 1013, 4040, 3859, 3135, 238, 937, 3734, 2635, 2333, 1128, 401, 1591, 2254, 809, 3221, 582, 2316, 1059, 125, 488, 1937, 3638, 2252, 802, 3195, 478, 1899, 3485, 1640, 2451, 1597, 2280, 913, 3637, 2245, 775, 3087, 47, 174, 681, 2711, 2637, 2344, 1172, 579, 2303, 1005, 4008, 3729, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2666, 2458, 1628, 2401, 1399, 1486, 1835, 3232, 628, 2500, 1796, 3074, 4091, 4062, 3947, 3486, 1643, 2463, 1645, 2469, 1670, 2572, 2082, 124, 482, 1915, 3551, 1903, 3502, 1705, 2709, 2631, 2319, 1069, 167, 655, 2606, 2219, 672, 2676, 2500, 1793, 3063, 4047, 3888, 3252, 708, 2820, 3076, 4097, 4088, 4049, 3893, 3272, 785, 3125, 199, 784, 3124, 193, 760, 3028, 3908, 3330, 1020, 4068, 3972, 3585, 2040, 4050, 3900, 3300, 900, 3588, 2052, 4098, 4092, 4068, 3969, 3576, 2001, 3896, 3282, 825, 3288, 852, 3393, 1272, 980, 3908, 3330, 1020, 4068, 3972, 3585, 2037, 4038, 3852, 3108, 132, 516, 2052, 4098, 4092, 4068, 3969, 3573, 1991, 3855, 3118, 171, 670, 2668, 2468, 1665, 2549, 1990, 3850, 3097, 85, 326, 1290, 1051, 94, 364, 1442, 1660, 2530, 1915, 3550, 1900, 3492, 1666, 2555, 2016, 3953, 3511, 1743, 2864, 3249, 693, 2759, 2831, 3120, 180, 706, 2809, 3031, 3919, 3375, 1199, 687, 2734, 2732, 2721, 2680, 2514, 1851, 3293, 871, 3469, 1576, 2194, 571, 2270, 875, 3487, 1648, 2484, 1732, 2817, 3064, 4050, 3899, 3295, 880, 3508, 1730, 2812, 3044, 3969, 3575, 1999, 3887, 3247, 688, 2737, 2744, 2772, 2884, 3329, 1016, 4052, 3906, 3323, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4092, 4066, 3961, 3544, 1874, 3388, 1250, 892, 3554, 1916, 3554, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1691, 2654, 2410, 1435, 1630, 2411, 1439, 1647, 2480, 1713, 2743, 2765, 2855, 3215, 557, 2216, 658, 2617, 2262, 844, 3362, 1148, 482, 1916, 3553, 1911, 3533, 1831, 3213, 550, 2188, 547, 2173, 487, 1935, 3632, 2228, 706, 2812, 3044, 3971, 3584, 2034, 4026, 3802, 2907, 3423, 1390, 1452, 1699, 2687, 2544, 1971, 3773, 2792, 2963, 3645, 2279, 912, 3634, 2234, 732, 2916, 3460, 1537, 2038, 4043, 3871, 3182, 428, 1700, 2691, 2558, 2028, 4004, 3716, 2564, 2052, 4098, 4092, 4068, 3970, 3580, 2020, 3972, 3588, 2049, 4088, 4052, 3908, 3332, 1026, 4091, 4064, 3956, 3521, 1784, 3028, 3905, 3319, 974, 3884, 3236, 644, 2561, 2037, 4040, 3860, 3140, 258, 1019, 4064, 3956, 3524, 1796, 3076, 4097, 4088, 4052, 3906, 3323, 991, 3951, 3504, 1716, 2754, 2810, 3033, 3927, 3408, 1330, 1211, 736, 2930, 3516, 1761, 2934, 3530, 1818, 3161, 344, 1364, 1348, 1281, 1016, 4049, 3896, 3281, 824, 3284, 833, 3320, 980, 3906, 3323, 992, 3954, 3513, 1749, 2888, 3348, 1089, 247, 973, 3879, 3213, 552, 2193, 567, 2253, 808, 3217, 567, 2255, 816, 3252, 708, 2817, 3062, 4042, 3866, 3161, 343, 1357, 1318, 1161, 536, 2132, 322, 1273, 983, 3917, 3367, 1167, 560, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2774, 2891, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3615, 2157, 423, 1678, 2602, 2203, 607, 2414, 1451, 1695, 2670, 2474, 1691, 2655, 2413, 1446, 1675, 2590, 2155, 415, 1646, 2474, 1690, 2652, 2401, 1399, 1487, 1837, 3240, 660, 2625, 2296, 977, 3895, 3279, 813, 3239, 655, 2606, 2218, 668, 2659, 2431, 1519, 1965, 3751, 2702, 2603, 2205, 614, 2443, 1567, 2158, 428, 1699, 2685, 2533, 1928, 3602, 2106, 220, 868, 3460, 1538, 2044, 4068, 3969, 3574, 1996, 3875, 3198, 492, 1955, 3710, 2540, 1955, 3711, 2541, 1957, 3719, 2575, 2095, 173, 680, 2708, 2627, 2303, 1006, 4012, 3748, 2690, 2553, 2008, 3921, 3382, 1228, 802, 3193, 471, 1871, 3375, 1197, 678, 2698, 2587, 2143, 365, 1445, 1671, 2575, 2094, 171, 671, 2669, 2472, 1683, 2623, 2285, 934, 3724, 2596, 2179, 509, 2024, 3987, 3646, 2284, 931, 3710, 2538, 1947, 3677, 2405, 1416, 1556, 2115, 254, 1004, 4004, 3716, 2564, 2050, 4089, 4053, 3912, 3345, 1080, 211, 831, 3309, 933, 3718, 2572, 2081, 120, 466, 1852, 3298, 891, 3550, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 534, 2122, 284, 1123, 383, 1518, 1961, 3734, 2633, 2326, 1098, 281, 1109, 328, 1298, 1081, 214, 844, 3361, 1141, 453, 1798, 3084, 34, 122, 474, 1882, 3419, 1374, 1386, 1434, 1625, 2390, 1354, 1306, 1114, 346, 1371, 1374, 1388, 1442, 1657, 2518, 1865, 3352, 1106, 314, 1243, 862, 3434, 1434, 1626, 2394, 1369, 1366, 1356, 1314, 1146, 473, 1877, 3397, 1286, 1034, 26, 89, 341, 1349, 1286, 1034, 26, 92, 354, 1401, 1493, 1862, 3338, 1052, 97, 375, 1485, 1831, 3213, 550, 2186, 539, 2141, 357, 1414, 1546, 2076, 98, 377, 1496, 1874, 3387, 1248, 881, 3511, 1741, 2853, 3205, 518, 2057, 22, 75, 287, 1133, 424, 1681, 2613, 2246, 777, 3096, 81, 310, 1226, 794, 3162, 345, 1368, 1362, 1338, 1241, 854, 3401, 1304, 1105, 310, 1227, 798, 3180, 420, 1665, 2550, 1993, 3861, 3141, 262, 1036, 33, 120, 468, 1860, 3329, 1014, 4041, 3861, 3143, 269, 1064, 145, 568, 2257, 822, 3274, 793, 3157, 328, 1298, 1082, 217, 853, 3399, 1294, 1067, 157, 614, 2442, 1564, 2147, 381, 1512, 1939, 3647, 2286, 937, 3733, 2630, 2316, 1059, 125, 487, 1934, 3627, 2205, 613, 2440, 1553, 2104, 209, 822, 3276, 801, 3190, 460, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1826, 3195, 479, 1901, 3494, 1673, 2582, 2123, 286, 1131, 413, 1637, 2440, 1555, 2110, 234, 922, 3675, 2399, 1389, 1446, 1673, 2584, 2132, 321, 1269, 968, 3859, 3134, 234, 922, 3673, 2390, 1356, 1314, 1146, 474, 1884, 3428, 1410, 1529, 2005, 3909, 3336, 1043, 61, 232, 913, 3637, 2246, 778, 3100, 97, 374, 1483, 1821, 3175, 398, 1578, 2201, 597, 2374, 1290, 1050, 90, 346, 1369, 1367, 1358, 1323, 1181, 614, 2444, 1570, 2172, 484, 1923, 3582, 2026, 3993, 3669, 2375, 1294, 1067, 158, 620, 2466, 1658, 2522, 1883, 3423, 1391, 1453, 1701, 2693, 2565, 2054, 10, 27, 93, 358, 1417, 1558, 2124, 290, 1146, 476, 1889, 3445, 1477, 1798, 3083, 31, 110, 425, 1685, 2630, 2315, 1055, 111, 431, 1709, 2728, 2706, 2618, 2267, 863, 3438, 1451, 1693, 2663, 2445, 1573, 2182, 524, 2082, 124, 481, 1911, 3534, 1833, 3224, 593, 2358, 1226, 794, 3164, 356, 1409, 1528, 2001, 3893, 3269, 776, 3089, 55, 206, 812, 3234, 634, 2522, 1881, 3416, 1361, 1336, 1233, 824, 3284, 834, 3321, 981, 3910, 3338, 1049, 85, 328, 1298, 1082, 217, 853, 3397, 1285, 1030, 12, 33, 120, 468, 1858, 3322, 985, 3926, 3402, 1305, 1112, 340, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 4067, 3965, 3560, 1940, 3651, 2304, 1012, 4036, 3843, 3070, 4076, 4001, 3704, 2514, 1851, 3295, 877, 3493, 1669, 2565, 2053, 8, 17, 56, 210, 827, 3293, 872, 3474, 1596, 2273, 885, 3528, 1812, 3140, 257, 1016, 4052, 3906, 3321, 984, 3924, 3396, 1284, 1026, 4092, 4068, 3972, 3588, 2051, 4095, 4080, 4018, 3770, 2778, 2906, 3417, 1366, 1353, 1301, 1096, 273, 1078, 202, 794, 3164, 356, 1412, 1538, 2041, 4056, 3924, 3394, 1273, 981, 3909, 3336, 1044, 65, 245, 965, 3845, 3078, 10, 25, 87, 333, 1320, 1170, 571, 2269, 869, 3461, 1544, 2068, 65, 248, 980, 3908, 3330, 1018, 4060, 3939, 3454, 1515, 1950, 3691, 2462, 1644, 2468, 1667, 2559, 2032, 4020, 3779, 2813, 3048, 3985, 3640, 2260, 834, 3324, 996, 3972, 3588, 2052, 4098, 4091, 4061, 3943, 3469, 1573, 2184, 532, 2114, 252, 995, 3966, 3563, 1949, 3688, 2451, 1600, 2292, 964, 3844, 3076, 4097, 4088, 4051, 3902, 3306, 922, 3674, 2396, 1377, 1400, 1491, 1855, 3309, 936, 3732, 2625, 2294, 972, 3873, 3192, 467, 1855, 3309, 936, 3732, 2625, 2296, 977, 3893, 3272, 788, 3137, 245, 966, 3850, 3098, 91, 349, 1383, 1421, 1573, 2184, 532, 2114, 249, 981, 3910, 3340, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3353, 1111, 333, 1320, 1172, 577, 2294, 972, 3873, 3191, 462, 1833, 3222, 585, 2327, 1103, 304, 1204, 708, 2817, 3063, 4046, 3884, 3236, 644, 2562, 2044, 4068, 3970, 3580, 2017, 3960, 3538, 1851, 3295, 880, 3508, 1732, 2820, 3074, 4089, 4053, 3909, 3333, 1032, 17, 53, 200, 788, 3138, 252, 993, 3957, 3525, 1797, 3080, 17, 56, 212, 833, 3320, 977, 3896, 3284, 836, 3330, 1019, 4064, 3956, 3524, 1794, 3068, 4068, 3972, 3588, 2051, 4096, 4084, 4035, 3839, 3053, 4008, 3729, 2614, 2252, 801, 3189, 453, 1800, 3090, 59, 223, 877, 3496, 1681, 2613, 2248, 786, 3130, 219, 861, 3430, 1417, 1559, 2125, 293, 1160, 532, 2113, 246, 972, 3876, 3204, 516, 2052, 4098, 4092, 4066, 3963, 3552, 1908, 3521, 1781, 3013, 3847, 3085, 37, 133, 517, 2053, 7, 16, 50, 187, 733, 2917, 3464, 1556, 2113, 245, 965, 3845, 3079, 16, 49, 181, 711, 2831, 3118, 170, 665, 2647, 2381, 1318, 1162, 537, 2136, 337, 1333, 1223, 783, 3120, 180, 705, 2806, 3018, 3865, 3159, 333, 1319, 1168, 561, 2231, 718, 2859, 3229, 615, 2446, 1578, 2201, 599, 2382, 1322, 1177, 598, 2379, 1312, 1137, 437, 1734, 2825, 3093, 72, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2116, 260, 1028, 4099, 4095, 4077, 4007, 3725, 2598, 2187, 544, 2161, 438, 1740, 2849, 3190, 460, 1828, 3204, 515, 2045, 4072, 3988, 3651, 2304, 1012, 4036, 3841, 3064, 4052, 3906, 3323, 990, 3946, 3484, 1636, 2434, 1532, 2020, 3970, 3578, 2010, 3930, 3420, 1378, 1401, 1494, 1866, 3355, 1117, 357, 1414, 1547, 2077, 103, 398, 1580, 2210, 635, 2526, 1898, 3484, 1635, 2431, 1519, 1967, 3757, 2728, 2708, 2627, 2302, 1003, 3999, 3696, 2484, 1730, 2812, 3042, 3964, 3553, 1911, 3534, 1835, 3230, 620, 2468, 1668, 2564, 2050, 4092, 4068, 3972, 3588, 2051, 4096, 4084, 4033, 3832, 3025, 3895, 3277, 805, 3207, 528, 2100, 196, 769, 3064, 4052, 3908, 3332, 1028, 4099, 4093, 4070, 3978, 3609, 2135, 335, 1325, 1191, 656, 2610, 2236, 740, 2948, 3585, 2040, 4050, 3900, 3297, 886, 3532, 1828, 3201, 504, 2001, 3896, 3281, 824, 3284, 836, 3331, 1021, 4071, 3982, 3625, 2198, 588, 2340, 1155, 511, 2030, 4012, 3748, 2691, 2559, 2029, 4005, 3717, 2565, 2053, 8, 19, 63, 239, 941, 3749, 2696, 2580, 2115, 255, 1008, 4020, 3777, 2808, 3025, 3896, 3284, 834, 3324, 996, 3972, 3588, 2051, 4095, 4079, 4014, 3756, 2723, 2687, 2542, 1964, 3748, 2692, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 3646, 2283, 926, 3692, 2465, 1653, 2504, 1811, 3133, 231, 909, 3624, 2193, 568, 2259, 832, 3313, 949, 3784, 2836, 3140, 258, 1018, 4058, 3932, 3425, 1400, 1492, 1857, 3320, 979, 3903, 3309, 936, 3732, 2628, 2305, 1015, 4047, 3885, 3238, 650, 2586, 2139, 350, 1388, 1443, 1663, 2542, 1962, 3738, 2652, 2403, 1406, 1514, 1947, 3678, 2412, 1444, 1667, 2557, 2024, 3985, 3637, 2245, 774, 3083, 32, 114, 444, 1762, 2940, 3553, 1911, 3535, 1839, 3245, 679, 2701, 2600, 2195, 573, 2277, 904, 3602, 2107, 221, 871, 3469, 1575, 2190, 554, 2204, 610, 2427, 1503, 1902, 3499, 1693, 2664, 2449, 1591, 2253, 806, 3212, 548, 2177, 504, 2004, 3905, 3317, 965, 3848, 3090, 59, 222, 876, 3492, 1667, 2559, 2031, 4013, 3752, 2708, 2625, 2295, 974, 3882, 3228, 612, 2434, 1530, 2010, 3930, 3420, 1379, 1407, 1518, 1963, 3743, 2671, 2477, 1701, 2696, 2580, 2114, 251, 990, 3946, 3483, 1629, 2406, 1418, 1562, 2140, 355, 1406, 1516, 1954, 3708, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2519, 1870, 3369, 1173, 581, 2309, 1029, 6, 9, 23, 77, 293, 1157, 517, 2053, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 25, 88, 339, 1343, 1264, 948, 3780, 2819, 3069, 4070, 3977, 3608, 2130, 316, 1252, 899, 3584, 2035, 4029, 3814, 2956, 3619, 2175, 494, 1964, 3746, 2681, 2520, 1874, 3387, 1247, 878, 3497, 1688, 2643, 2366, 1257, 919, 3663, 2350, 1196, 676, 2692, 2561, 2040, 4052, 3907, 3326, 1004, 4001, 3704, 2516, 1858, 3321, 984, 3921, 3381, 1224, 785, 3125, 198, 777, 3096, 83, 318, 1258, 924, 3681, 2421, 1479, 1806, 3114, 156, 612, 2436, 1537, 2040, 4052, 3907, 3328, 1012, 4033, 3829, 3016, 3858, 3130, 220, 867, 3453, 1512, 1938, 3644, 2273, 888, 3539, 1853, 3304, 913, 3640, 2257, 822, 3274, 796, 3170, 380, 1507, 1919, 3565, 1959, 3726, 2604, 2211, 640, 2547, 1982, 3819, 2975, 3693, 2472, 1683, 2623, 2286, 940, 3748, 2692, 2563, 2048, 4081, 4023, 3789, 2856, 3217, 568, 2259, 829, 3301, 904, 3601, 2103, 206, 811, 3231, 621, 2471, 1679, 2606, 2219, 669, 2661, 2437, 1541, 2053, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2047, 4078, 4011, 3743, 2670, 2475, 1695, 2671, 2479, 1710, 2732, 2723, 2685, 2536, 1937, 3640, 2260, 834, 3323, 990, 3947, 3487, 1645, 2471, 1679, 2605, 2216, 660, 2628, 2307, 1022, 4075, 3999, 3694, 2476, 1700, 2692, 2564, 2049, 4087, 4046, 3883, 3231, 623, 2478, 1708, 2722, 2684, 2532, 1923, 3583, 2030, 4010, 3740, 2660, 2435, 1533, 2024, 3988, 3652, 2308, 1026, 4091, 4063, 3952, 3506, 1724, 2787, 2942, 3563, 1950, 3690, 2459, 1631, 2413, 1448, 1684, 2628, 2308, 1025, 4087, 4047, 3888, 3252, 708, 2817, 3063, 4045, 3880, 3219, 574, 2284, 931, 3709, 2533, 1928, 3604, 2116, 260, 1027, 4096, 4084, 4035, 3840, 3060, 4036, 3841, 3064, 4052, 3907, 3327, 1007, 4014, 3756, 2724, 2690, 2555, 2014, 3948, 3492, 1667, 2558, 2028, 4004, 3716, 2564, 2050, 4092, 4068, 3972, 3587, 2046, 4076, 4004, 3713, 2552, 2001, 3895, 3277, 805, 3205, 519, 2061, 37, 136, 532, 2116, 258, 1017, 4054, 3915, 3357, 1128, 403, 1597, 2280, 916, 3650, 2298, 987, 3933, 3432, 1428, 1604, 2306, 1020, 4068, 3972, 3588, 2050, 4091, 4063, 3950, 3500, 1697, 2680, 2516, 1859, 3327, 1006, 4012, 3748, 2689, 2552, 2001, 3896, 3283, 830, 3308, 929, 3704, 2514, 1851, 3295, 877, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 261, 1029, 8, 18, 59, 222, 873, 3477, 1605, 2310, 1035, 32, 114, 441, 1749, 2885, 3336, 1042, 59, 224, 882, 3515, 1758, 2924, 3492, 1668, 2562, 2043, 4062, 3947, 3486, 1641, 2455, 1616, 2356, 1218, 764, 3044, 3969, 3575, 1999, 3885, 3240, 660, 2628, 2306, 1018, 4059, 3934, 3436, 1444, 1668, 2564, 2052, 4100, 4100, 4097, 4088, 4052, 3908, 3330, 1019, 4063, 3950, 3498, 1692, 2657, 2423, 1486, 1833, 3221, 584, 2322, 1083, 224, 881, 3511, 1744, 2866, 3257, 727, 2894, 3370, 1179, 606, 2412, 1442, 1659, 2525, 1893, 3461, 1542, 2059, 30, 108, 418, 1660, 2532, 1924, 3588, 2049, 4087, 4045, 3879, 3214, 553, 2197, 581, 2309, 1030, 9, 24, 84, 322, 1276, 994, 3963, 3552, 1908, 3522, 1786, 3033, 3928, 3410, 1338, 1241, 856, 3412, 1345, 1269, 965, 3848, 3090, 59, 221, 869, 3461, 1544, 2068, 68, 258, 1019, 4064, 3956, 3524, 1796, 3076, 4097, 4085, 4040, 3860, 3140, 258, 1020, 4068, 3970, 3578, 2010, 3931, 3421, 1382, 1420, 1572, 2180, 513, 2037, 4038, 3850, 3098, 90, 346, 1372, 1380, 1412, 1540, 2050, 4091, 4064, 3956, 3521, 1784, 3025, 3894, 3274, 794, 3161, 341, 1352, 1297, 1077, 199, 783, 3119, 174, 682, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 4052, 3907, 3326, 1004, 4003, 3709, 2536, 1938, 3641, 2261, 839, 3342, 1065, 150, 587, 2334, 1130, 411, 1631, 2414, 1452, 1698, 2684, 2529, 1909, 3528, 1812, 3137, 245, 965, 3847, 3085, 39, 143, 558, 2220, 676, 2690, 2555, 2014, 3945, 3477, 1605, 2310, 1036, 34, 122, 476, 1891, 3454, 1514, 1946, 3676, 2401, 1398, 1483, 1823, 3181, 423, 1677, 2599, 2189, 550, 2187, 541, 2150, 395, 1566, 2153, 406, 1610, 2330, 1114, 346, 1370, 1370, 1371, 1375, 1391, 1455, 1711, 2734, 2732, 2722, 2684, 2529, 1911, 3534, 1834, 3227, 605, 2405, 1415, 1550, 2091, 157, 615, 2446, 1577, 2199, 590, 2347, 1183, 623, 2479, 1709, 2726, 2697, 2581, 2120, 276, 1090, 249, 982, 3913, 3350, 1099, 285, 1125, 392, 1553, 2101, 197, 773, 3080, 18, 58, 218, 857, 3414, 1354, 1306, 1114, 348, 1379, 1405, 1509, 1926, 3593, 2069, 72, 273, 1080, 211, 830, 3305, 920, 3668, 2369, 1271, 975, 3885, 3240, 658, 2619, 2269, 869, 3462, 1546, 2074, 89, 343, 1358, 1322, 1178, 602, 2393, 1367, 1357, 1320, 1172, 580, 2308, 1026, 4092, 4066, 3963, 3551, 1901, 3493, 1670, 2570, 2074, 90, 346, 1370, 1372, 1380, 1411, 1534, 2026, 3995, 3679, 2415, 1454, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3549, 1894, 3466, 1561, 2133, 325, 1287, 1037, 38, 138, 537, 2134, 330, 1305, 1110, 332, 1313, 1142, 460, 1827, 3198, 490, 1945, 3670, 2379, 1310, 1130, 410, 1626, 2394, 1372, 1377, 1399, 1487, 1838, 3242, 665, 2648, 2386, 1340, 1249, 886, 3529, 1813, 3142, 265, 1045, 69, 261, 1032, 18, 58, 220, 868, 3459, 1534, 2026, 3994, 3674, 2395, 1374, 1388, 1444, 1665, 2552, 2004, 3908, 3329, 1016, 4052, 3908, 3332, 1025, 4086, 4041, 3864, 3154, 314, 1242, 860, 3426, 1402, 1499, 1885, 3430, 1417, 1557, 2118, 265, 1046, 76, 289, 1141, 453, 1797, 3077, 5, 5, 5, 5, 6, 10, 26, 90, 346, 1370, 1370, 1369, 1365, 1352, 1298, 1081, 214, 841, 3349, 1096, 275, 1086, 236, 929, 3702, 2508, 1828, 3202, 505, 2008, 3921, 3383, 1229, 806, 3211, 541, 2150, 394, 1564, 2145, 373, 1477, 1797, 3077, 6, 9, 22, 74, 284, 1122, 378, 1499, 1887, 3439, 1455, 1709, 2726, 2697, 2584, 2130, 315, 1245, 870, 3466, 1562, 2140, 356, 1410, 1531, 2013, 3942, 3466, 1562, 2137, 343, 1358, 1324, 1186, 636, 2529, 1909, 3528, 1812, 3139, 254, 1004, 4001, 3702, 2506, 1818, 3162, 346, 1370, 1370, 1370, 1370, 1370, 1371, 1374, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1447, 1679, 2606, 2219, 671, 2669, 2471, 1679, 2605, 2214, 650, 2586, 2139, 351, 1389, 1447, 1678, 2602, 2203, 606, 2411, 1438, 1642, 2457, 1623, 2384, 1330, 1210, 731, 2912, 3442, 1467, 1757, 2917, 3463, 1550, 2090, 155, 605, 2405, 1416, 1553, 2102, 202, 796, 3172, 388, 1540, 2050, 4089, 4053, 3910, 3337, 1046, 74, 282, 1114, 346, 1370, 1371, 1374, 1386, 1434, 1626, 2394, 1369, 1366, 1356, 1316, 1154, 506, 2010, 3930, 3418, 1370, 1370, 1372, 1378, 1402, 1498, 1882, 3418, 1371, 1376, 1396, 1474, 1788, 3042, 3964, 3556, 1922, 3579, 2014, 3946, 3482, 1625, 2389, 1350, 1290, 1051, 94, 362, 1436, 1634, 2427, 1502, 1900, 3490, 1657, 2519, 1869, 3366, 1161, 536, 2130, 315, 1248, 881, 3511, 1744, 2865, 3253, 711, 2832, 3121, 182, 713, 2839, 3150, 297, 1176, 596, 2370, 1274, 986, 3932, 3427, 1408, 1522, 1977, 3799, 2894, 3372, 1185, 629, 2501, 1797, 3078, 10, 28, 97, 376, 1492, 1860, 3332, 1026, 4090, 4060, 3939, 3453, 1511, 1933, 3623, 2191, 557, 2216, 657, 2616, 2257, 822, 3273, 789, 3142, 267, 1054, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3870, 3179, 413, 1637, 2438, 1547, 2079, 110, 426, 1690, 2650, 2393, 1365, 1351, 1293, 1061, 135, 527, 2094, 172, 675, 2685, 2533, 1925, 3592, 2066, 57, 216, 852, 3394, 1273, 981, 3910, 3340, 1059, 127, 494, 1964, 3748, 2692, 2564, 2049, 4086, 4041, 3863, 3149, 295, 1166, 556, 2209, 632, 2516, 1860, 3329, 1016, 4052, 3908, 3329, 1016, 4052, 3905, 3317, 968, 3860, 3140, 257, 1016, 4049, 3896, 3281, 824, 3281, 824, 3281, 824, 3281, 824, 3281, 824, 3281, 824, 3281, 821, 3269, 776, 3089, 53, 197, 776, 3089, 53, 200, 788, 3137, 248, 977, 3893, 3272, 785, 3125, 200, 788, 3137, 248, 980, 3905, 3320, 980, 3905, 3320, 980, 3905, 3320, 980, 3905, 3320, 977, 3895, 3280, 817, 3253, 709, 2824, 3089, 56, 212, 833, 3320, 980, 3905, 3318, 972, 3873, 3192, 468, 1857, 3320, 980, 3905, 3317, 965, 3846, 3081, 24, 81, 312, 1236, 833, 3317, 968, 3857, 3125, 200, 785, 3128, 212, 836, 3329, 1016, 4051, 3901, 3301, 901, 3589, 2056, 17, 56, 209, 824, 3284, 836, 3329, 1016, 4052, 3908, 3329, 1016, 4049, 3894, 3276, 804, 3201, 504, 2004, 3908, 3329, 1016, 4049, 3893, 3269, 776, 3089, 53, 197, 776, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2687, 2542, 1963, 3741, 2664, 2451, 1599, 2286, 939, 3743, 2670, 2476, 1697, 2680, 2515, 1853, 3304, 915, 3646, 2284, 929, 3704, 2513, 1847, 3278, 809, 3223, 589, 2344, 1172, 578, 2300, 995, 3967, 3567, 1965, 3751, 2703, 2605, 2215, 655, 2605, 2215, 656, 2611, 2239, 751, 2992, 3764, 2755, 2814, 3049, 3989, 3654, 2314, 1050, 90, 346, 1370, 1372, 1378, 1401, 1494, 1866, 3354, 1114, 346, 1369, 1368, 1362, 1337, 1240, 849, 3384, 1233, 823, 3277, 808, 3220, 580, 2306, 1018, 4058, 3931, 3421, 1383, 1423, 1581, 2215, 656, 2610, 2234, 732, 2916, 3459, 1535, 2029, 4008, 3732, 2625, 2294, 972, 3876, 3202, 507, 2014, 3946, 3484, 1633, 2422, 1483, 1822, 3179, 415, 1646, 2476, 1697, 2679, 2509, 1830, 3211, 544, 2162, 444, 1761, 2934, 3531, 1823, 3184, 435, 1727, 2799, 2992, 3763, 2751, 2798, 2987, 3744, 2676, 2499, 1791, 3054, 4011, 3743, 2671, 2477, 1701, 2693, 2568, 2066, 60, 227, 894, 3564, 1956, 3716, 2561, 2038, 4042, 3865, 3159, 333, 1320, 1172, 579, 2304, 1010, 4028, 3809, 2936, 3539, 1855, 3309, 935, 3727, 2608, 2226, 700, 2786, 2939, 3551, 1904, 3508, 1731, 2815, 3054, 4012, 3748, 2689, 2550, 1996, 3874, 3196, 483, 1918, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3988, 3651, 2301, 999, 3981, 3624, 2196, 580, 2308, 1025, 4087, 4047, 3887, 3247, 687, 2736, 2737, 2743, 2767, 2863, 3248, 692, 2756, 2817, 3062, 4044, 3875, 3197, 486, 1931, 3615, 2159, 431, 1711, 2733, 2727, 2701, 2599, 2190, 556, 2210, 635, 2527, 1902, 3498, 1691, 2653, 2406, 1420, 1571, 2174, 492, 1953, 3704, 2515, 1854, 3306, 924, 3684, 2435, 1534, 2026, 3996, 3684, 2435, 1534, 2026, 3994, 3675, 2397, 1384, 1428, 1603, 2302, 1004, 4002, 3708, 2532, 1921, 3575, 1998, 3883, 3230, 620, 2467, 1663, 2543, 1965, 3752, 2708, 2625, 2293, 967, 3854, 3116, 163, 639, 2542, 1964, 3748, 2691, 2560, 2036, 4036, 3843, 3071, 4078, 4011, 3741, 2664, 2449, 1590, 2252, 804, 3201, 504, 2004, 3908, 3332, 1028, 4099, 4093, 4071, 3983, 3630, 2220, 676, 2692, 2564, 2049, 4085, 4040, 3860, 3140, 260, 1028, 4100, 4099, 4093, 4071, 3983, 3630, 2220, 676, 2692, 2564, 2049, 4085, 4040, 3860, 3140, 260, 1026, 4092, 4067, 3966, 3564, 1956, 3716, 2564, 2052, 4100, 4099, 4093, 4071, 3983, 3630, 2219, 672, 2676, 2500, 1794, 3065, 4056, 3924, 3396, 1281, 1015, 4047, 3888, 3250, 699, 2782, 2923, 3487, 1647, 2480, 1714, 2748, 2786, 2937, 3543, 1869, 3365, 1160, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 2698, 2586, 2137, 342, 1354, 1307, 1119, 366, 1450, 1690, 2652, 2403, 1406, 1516, 1955, 3710, 2538, 1947, 3678, 2412, 1442, 1658, 2522, 1882, 3420, 1378, 1401, 1494, 1866, 3355, 1118, 362, 1434, 1627, 2397, 1383, 1422, 1580, 2210, 633, 2517, 1862, 3337, 1045, 69, 262, 1034, 28, 98, 377, 1493, 1863, 3342, 1068, 162, 636, 2529, 1909, 3526, 1801, 3095, 77, 293, 1158, 524, 2081, 119, 464, 1841, 3255, 719, 2861, 3238, 650, 2586, 2139, 350, 1386, 1436, 1634, 2428, 1508, 1924, 3586, 2042, 4057, 3926, 3401, 1302, 1098, 281, 1110, 331, 1309, 1125, 389, 1542, 2059, 29, 103, 399, 1581, 2213, 645, 2567, 2064, 50, 188, 737, 2936, 3540, 1860, 3330, 1020, 4065, 3958, 3531, 1823, 3182, 428, 1700, 2692, 2564, 2049, 4086, 4041, 3863, 3151, 302, 1194, 667, 2655, 2413, 1446, 1673, 2581, 2118, 265, 1048, 82, 314, 1242, 858, 3418, 1369, 1365, 1351, 1295, 1070, 169, 661, 2629, 2309, 1029, 5, 6, 9, 21, 69, 262, 1036, 33, 117, 456, 1812, 3137, 245, 965, 3847, 3085, 37, 136, 529, 2101, 197, 774, 3081, 21, 69, 261, 1029, 8, 19, 61, 229, 901, 3590, 2057, 23, 77, 296, 1170, 570, 2265, 855, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3892, 3266, 761, 3032, 3924, 3394, 1275, 992, 3953, 3511, 1743, 2864, 3249, 693, 2760, 2833, 3128, 209, 824, 3282, 827, 3293, 871, 3470, 1579, 2205, 616, 2450, 1596, 2274, 892, 3553, 1912, 3538, 1851, 3294, 875, 3486, 1641, 2453, 1605, 2312, 1041, 55, 207, 816, 3251, 701, 2792, 2962, 3644, 2273, 887, 3536, 1844, 3266, 764, 3041, 3960, 3537, 1848, 3284, 836, 3332, 1026, 4092, 4068, 3972, 3588, 2052, 4097, 4088, 4049, 3896, 3282, 825, 3287, 848, 3378, 1211, 734, 2922, 3484, 1634, 2426, 1497, 1879, 3407, 1327, 1197, 680, 2705, 2616, 2258, 828, 3297, 888, 3537, 1847, 3279, 816, 3249, 696, 2769, 2871, 3278, 812, 3236, 641, 2549, 1992, 3857, 3125, 200, 786, 3132, 226, 892, 3556, 1924, 3586, 2043, 4064, 3954, 3516, 1761, 2933, 3525, 1798, 3084, 33, 120, 468, 1858, 3321, 981, 3909, 3333, 1032, 20, 65, 247, 975, 3886, 3244, 673, 2679, 2511, 1839, 3246, 682, 2714, 2651, 2400, 1396, 1476, 1793, 3061, 4037, 3846, 3081, 23, 77, 293, 1159, 525, 2087, 143, 559, 2224, 690, 2746, 2780, 2913, 3445, 1477, 1799, 3085, 37, 133, 519, 2061, 39, 144, 561, 2230, 714, 2843, 3165, 360, 1426, 1594, 2268, 866, 3451, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 3454, 1514, 1946, 3675, 2398, 1387, 1438, 1642, 2458, 1627, 2399, 1390, 1450, 1689, 2646, 2378, 1307, 1117, 360, 1426, 1594, 2267, 862, 3434, 1434, 1628, 2404, 1409, 1525, 1989, 3847, 3085, 37, 136, 530, 2107, 221, 871, 3470, 1577, 2197, 584, 2322, 1084, 226, 889, 3544, 1876, 3395, 1278, 1001, 3991, 3663, 2350, 1194, 665, 2645, 2376, 1300, 1092, 257, 1014, 4044, 3876, 3204, 516, 2050, 4090, 4059, 3934, 3436, 1444, 1668, 2564, 2049, 4088, 4049, 3896, 3284, 836, 3332, 1025, 4088, 4052, 3905, 3317, 965, 3848, 3091, 61, 229, 903, 3598, 2090, 153, 597, 2376, 1299, 1087, 239, 943, 3757, 2727, 2703, 2606, 2219, 671, 2670, 2476, 1700, 2689, 2552, 2004, 3905, 3320, 980, 3905, 3320, 980, 3905, 3320, 980, 3905, 3320, 980, 3905, 3320, 978, 3897, 3286, 843, 3358, 1131, 415, 1645, 2470, 1673, 2584, 2129, 310, 1226, 794, 3164, 356, 1409, 1525, 1990, 3850, 3099, 94, 362, 1435, 1629, 2408, 1428, 1602, 2297, 981, 3912, 3345, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 4072, 3985, 3638, 2251, 797, 3175, 397, 1573, 2183, 528, 2098, 187, 733, 2920, 3476, 1601, 2296, 977, 3894, 3275, 797, 3173, 392, 1553, 2103, 207, 813, 3238, 651, 2591, 2158, 428, 1700, 2691, 2558, 2025, 3989, 3655, 2317, 1063, 144, 564, 2242, 764, 3041, 3957, 3525, 1799, 3087, 47, 174, 684, 2722, 2683, 2526, 1899, 3486, 1641, 2455, 1614, 2345, 1173, 581, 2309, 1029, 6, 9, 23, 77, 293, 1157, 517, 2053, 5, 5, 5, 6, 10, 25, 88, 339, 1343, 1261, 936, 3732, 2627, 2301, 998, 3980, 3620, 2178, 508, 2020, 3971, 3581, 2024, 3988, 3651, 2301, 999, 3983, 3630, 2220, 674, 2681, 2519, 1870, 3371, 1183, 623, 2477, 1704, 2707, 2622, 2281, 919, 3662, 2347, 1181, 616, 2452, 1601, 2296, 980, 3907, 3326, 1004, 4001, 3704, 2516, 1859, 3325, 1000, 3988, 3649, 2294, 969, 3861, 3142, 268, 1060, 129, 504, 2002, 3900, 3298, 889, 3542, 1866, 3354, 1114, 348, 1378, 1401, 1494, 1866, 3354, 1114, 348, 1377, 1400, 1492, 1860, 3330, 1018, 4058, 3931, 3421, 1383, 1423, 1581, 2216, 660, 2627, 2302, 1004, 4004, 3714, 2555, 2014, 3946, 3484, 1633, 2421, 1479, 1806, 3115, 159, 622, 2476, 1697, 2679, 2509, 1830, 3210, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3121, 181, 711, 2831, 3118, 172, 676, 2692, 2561, 2039, 4047, 3888, 3252, 705, 2805, 3016, 3860, 3140, 260, 1028, 4097, 4088, 4052, 3906, 3322, 988, 3940, 3457, 1527, 2000, 3892, 3268, 769, 3064, 4049, 3896, 3284, 833, 3320, 977, 3895, 3280, 817, 3256, 722, 2875, 3294, 875, 3487, 1646, 2475, 1694, 2665, 2453, 1605, 2309, 1029, 8, 17, 54, 202, 794, 3162, 345, 1367, 1357, 1320, 1172, 578, 2297, 984, 3921, 3383, 1230, 812, 3236, 642, 2553, 2008, 3924, 3394, 1274, 988, 3937, 3448, 1489, 1848, 3284, 833, 3319, 976, 3892, 3268, 772, 3073, 4088, 4050, 3900, 3297, 887, 3536, 1844, 3265, 760, 3028, 3908, 3332, 1026, 4090, 4059, 3935, 3438, 1451, 1694, 2665, 2453, 1605, 2309, 1030, 10, 27, 94, 361, 1430, 1610, 2330, 1113, 341, 1352, 1300, 1089, 246, 970, 3865, 3158, 329, 1304, 1105, 309, 1222, 779, 3102, 105, 405, 1606, 2315, 1053, 102, 396, 1570, 2171, 478, 1899, 3488, 1652, 2500, 1793, 3061, 4040, 3860, 3137, 248, 980, 3908, 3330, 1020, 4066, 3964, 3555, 1920, 3572, 1988, 3842, 3068, 4068, 3972, 3588, 2052, 4098, 4091, 4064, 3956, 3524, 1796, 3074, 4089, 4056, 3924, 3393, 1272, 979, 3903, 3312, 948, 3780, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 601, 2391, 1357, 1318, 1161, 533, 2117, 261, 1032, 20, 67, 253, 998, 3979, 3614, 2156, 417, 1654, 2505, 1814, 3148, 292, 1154, 506, 2010, 3932, 3428, 1409, 1526, 1996, 3874, 3194, 474, 1882, 3420, 1378, 1402, 1499, 1887, 3439, 1454, 1707, 2719, 2669, 2469, 1669, 2566, 2059, 30, 107, 413, 1638, 2441, 1558, 2122, 281, 1109, 325, 1285, 1030, 9, 22, 76, 289, 1143, 463, 1838, 3244, 675, 2685, 2533, 1926, 3596, 2082, 122, 476, 1892, 3457, 1528, 2004, 3906, 3324, 996, 3970, 3579, 2015, 3950, 3500, 1698, 2684, 2532, 1921, 3576, 2004, 3908, 3329, 1016, 4050, 3898, 3292, 868, 3460, 1540, 2052, 4100, 4098, 4090, 4060, 3940, 3458, 1530, 2012, 3940, 3460, 1538, 2043, 4061, 3942, 3468, 1572, 2180, 516, 2049, 4086, 4044, 3876, 3201, 502, 1995, 3871, 3183, 430, 1707, 2717, 2662, 2444, 1569, 2165, 454, 1804, 3108, 131, 510, 2026, 3993, 3669, 2374, 1292, 1059, 126, 492, 1954, 3707, 2527, 1902, 3499, 1693, 2663, 2448, 1588, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1359, 1326, 1194, 667, 2654, 2411, 1437, 1637, 2437, 1542, 2057, 21, 70, 265, 1045, 70, 267, 1053, 102, 395, 1566, 2153, 406, 1610, 2329, 1110, 330, 1308, 1122, 380, 1508, 1922, 3578, 2009, 3927, 3406, 1324, 1185, 630, 2508, 1825, 3192, 468, 1860, 3331, 1022, 4075, 3997, 3687, 2446, 1577, 2198, 588, 2339, 1149, 486, 1931, 3613, 2149, 392, 1555, 2109, 231, 909, 3624, 2194, 572, 2275, 894, 3561, 1941, 3656, 2322, 1084, 226, 892, 3554, 1914, 3545, 1878, 3404, 1316, 1154, 508, 2018, 3962, 3545, 1878, 3404, 1314, 1148, 483, 1917, 3559, 1936, 3633, 2232, 722, 2876, 3297, 886, 3532, 1826, 3195, 477, 1896, 3474, 1594, 2267, 862, 3436, 1441, 1655, 2510, 1836, 3233, 632, 2515, 1854, 3308, 930, 3708, 2529, 1911, 3535, 1838, 3242, 666, 2652, 2404, 1412, 1539, 2046, 4076, 4003, 3710, 2539, 1951, 3694, 2476, 1698, 2683, 2526, 1900, 3492, 1667, 2558, 2026, 3994, 3674, 2396, 1379, 1407, 1519, 1965, 3751, 2702, 2604, 2212, 642, 2556, 2018, 3962, 3546, 1884, 3425, 1397, 1477, 1798, 3084, 36, 132, 515, 2046, 4073, 3989, 3654, 2314, 1052, 98, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3898, 3290, 857, 3416, 1364, 1348, 1284, 1028, 4097, 4088, 4052, 3905, 3320, 977, 3893, 3272, 788, 3138, 250, 985, 3928, 3412, 1348, 1284, 1025, 4085, 4037, 3847, 3085, 40, 148, 578, 2297, 981, 3909, 3336, 1041, 53, 200, 788, 3137, 248, 980, 3905, 3317, 968, 3860, 3140, 257, 1013, 4037, 3845, 3080, 20, 67, 256, 1012, 4034, 3835, 3038, 3946, 3483, 1629, 2406, 1419, 1568, 2164, 451, 1789, 3048, 3988, 3651, 2303, 1007, 4015, 3760, 2737, 2741, 2757, 2821, 3079, 15, 48, 180, 706, 2811, 3038, 3945, 3479, 1615, 2351, 1199, 686, 2730, 2714, 2652, 2401, 1399, 1486, 1835, 3231, 624, 2482, 1722, 2779, 2910, 3436, 1441, 1655, 2511, 1839, 3248, 690, 2747, 2782, 2924, 3492, 1667, 2558, 2026, 3993, 3670, 2380, 1316, 1156, 514, 2043, 4064, 3953, 3511, 1742, 2859, 3230, 619, 2464, 1652, 2500, 1794, 3068, 4068, 3971, 3582, 2027, 3997, 3688, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3908, 3331, 1021, 4072, 3985, 3638, 2249, 791, 3150, 300, 1188, 643, 2557, 2024, 3985, 3640, 2259, 829, 3304, 913, 3640, 2258, 828, 3298, 892, 3556, 1921, 3576, 2003, 3902, 3308, 931, 3712, 2546, 1979, 3806, 2924, 3491, 1661, 2536, 1940, 3650, 2300, 995, 3965, 3560, 1938, 3643, 2271, 878, 3500, 1700, 2692, 2563, 2046, 4074, 3993, 3672, 2388, 1345, 1272, 980, 3905, 3319, 974, 3884, 3234, 635, 2525, 1894, 3467, 1565, 2151, 399, 1583, 2221, 677, 2693, 2566, 2057, 24, 81, 312, 1235, 831, 3309, 936, 3732, 2628, 2308, 1026, 4092, 4067, 3968, 3572, 1988, 3844, 3073, 4085, 4037, 3848, 3092, 66, 252, 996, 3972, 3585, 2038, 4041, 3864, 3156, 324, 1284, 1027, 4093, 4072, 3988, 3652, 2308, 1027, 4094, 4076, 4001, 3704, 2513, 1848, 3283, 831, 3309, 936, 3731, 2621, 2280, 916, 3651, 2301, 1000, 3986, 3643, 2269, 872, 3476, 1603, 2302, 1004, 4004, 3713, 2552, 2004, 3905, 3318, 972, 3873, 3192, 465, 1847, 3279, 813, 3237, 648, 2577, 2101, 197, 776, 3092, 67, 253, 999, 3982, 3628, 2209, 632, 2516, 1858, 3322, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2677, 2501, 1798, 3082, 26, 90, 347, 1375, 1390, 1451, 1696, 2674, 2492, 1762, 2939, 3551, 1902, 3499, 1693, 2661, 2439, 1551, 2095, 173, 677, 2693, 2568, 2068, 65, 248, 980, 3906, 3322, 986, 3930, 3420, 1378, 1404, 1508, 1924, 3586, 2043, 4062, 3947, 3485, 1640, 2452, 1601, 2296, 979, 3904, 3316, 964, 3842, 3068, 4068, 3972, 3588, 2052, 4100, 4098, 4092, 4065, 3960, 3540, 1857, 3320, 980, 3908, 3329, 1015, 4048, 3890, 3260, 737, 2934, 3532, 1828, 3204, 516, 2052, 4100, 4100, 4100, 4100, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1400, 1489, 1845, 3269, 776, 3092, 68, 258, 1019, 4062, 3947, 3485, 1639, 2446, 1579, 2206, 620, 2466, 1658, 2524, 1891, 3455, 1519, 1965, 3752, 2708, 2627, 2302, 1004, 4004, 3713, 2552, 2002, 3900, 3299, 893, 3560, 1938, 3644, 2276, 898, 3580, 2019, 3965, 3557, 1926, 3595, 2078, 106, 412, 1636, 2433, 1526, 1995, 3869, 3175, 397, 1576, 2195, 573, 2277, 903, 3599, 2094, 171, 672, 2676, 2499, 1791, 3054, 4011, 3743, 2670, 2476, 1697, 2680, 2515, 1854, 3307, 925, 3685, 2440, 1555, 2112, 241, 950, 3787, 2847, 3182, 427, 1695, 2671, 2477, 1703, 2703, 2606, 2219, 669, 2664, 2451, 1599, 2286, 939, 3743, 2670, 2476, 1697, 2680, 2514, 1849, 3287, 847, 3374, 1196, 673, 2680, 2513, 1847, 3278, 809, 3223, 589, 2344, 1172, 579, 2301, 999, 3981, 3622, 2187, 543, 2159, 429, 1703, 2703, 2605, 2213, 645, 2567, 2063, 47, 175, 685, 2725, 2694, 2569, 2069, 70, 266, 1050, 91, 350, 1386, 1435, 1630, 2412, 1443, 1661, 2534, 1930, 3610, 2138, 346, 1370, 1372, 1378, 1401, 1496, 1873, 3384, 1233, 822, 3276, 804, 3204, 516, 2050, 4090, 4058, 3931, 3423, 1391, 1455, 1709, 2728, 2708, 2626, 2298, 988, 3938, 3451, 1503, 1901, 3496, 1684, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 4077, 4007, 3727, 2607, 2223, 688, 2740, 2755, 2814, 3052, 4004, 3713, 2549, 1992, 3860, 3139, 253, 998, 3979, 3615, 2159, 431, 1712, 2740, 2753, 2805, 3014, 3852, 3107, 128, 500, 1987, 3840, 3060, 4035, 3838, 3051, 3997, 3688, 2451, 1597, 2279, 911, 3631, 2224, 691, 2751, 2799, 2991, 3759, 2734, 2731, 2720, 2676, 2500, 1793, 3061, 4038, 3850, 3099, 95, 367, 1455, 1712, 2740, 2756, 2820, 3076, 4097, 4088, 4051, 3903, 3312, 947, 3774, 2796, 2980, 3716, 2561, 2040, 4052, 3908, 3329, 1015, 4046, 3883, 3232, 628, 2499, 1790, 3051, 3999, 3695, 2480, 1716, 2756, 2819, 3070, 4076, 4004, 3716, 2563, 2047, 4080, 4020, 3779, 2815, 3056, 4020, 3780, 2819, 3071, 4078, 4011, 3744, 2676, 2500, 1795, 3070, 4075, 3998, 3692, 2465, 1656, 2515, 1856, 3316, 962, 3836, 3044, 3972, 3585, 2038, 4042, 3865, 3160, 337, 1336, 1236, 835, 3326, 1003, 3999, 3693, 2472, 1683, 2623, 2287, 943, 3760, 2739, 2751, 2800, 2993, 3767, 2766, 2858, 3228, 611, 2429, 1512, 1937, 3639, 2256, 818, 3260, 737, 2936, 3537, 1846, 3275, 800, 3188, 452, 1795, 3069, 4071, 3981, 3623, 2191, 558, 2220, 673, 2680, 2515, 1856, 3316, 963, 3840, 3060, 4035, 3840, 3060, 4036, 3844, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 3647, 2285, 935, 3725, 2599, 2189, 551, 2189, 550, 2186, 539, 2141, 359, 1422, 1579, 2208, 627, 2493, 1766, 2953, 3606, 2123, 285, 1126, 395, 1566, 2153, 408, 1617, 2357, 1223, 783, 3117, 167, 654, 2602, 2202, 604, 2404, 1411, 1534, 2027, 3998, 3689, 2455, 1613, 2341, 1157, 520, 2067, 63, 237, 936, 3729, 2616, 2259, 830, 3305, 917, 3656, 2322, 1081, 215, 847, 3374, 1196, 675, 2688, 2545, 1975, 3789, 2853, 3205, 520, 2065, 55, 207, 814, 3244, 674, 2684, 2532, 1923, 3583, 2030, 4012, 3747, 2685, 2533, 1925, 3592, 2067, 63, 238, 937, 3733, 2629, 2309, 1030, 9, 22, 74, 282, 1113, 343, 1358, 1321, 1174, 587, 2334, 1132, 420, 1667, 2559, 2031, 4014, 3754, 2714, 2649, 2391, 1357, 1320, 1169, 565, 2245, 773, 3080, 20, 66, 250, 986, 3929, 3415, 1358, 1321, 1173, 583, 2318, 1068, 163, 638, 2540, 1954, 3706, 2523, 1886, 3433, 1432, 1617, 2358, 1226, 796, 3169, 374, 1483, 1821, 3174, 395, 1568, 2162, 442, 1754, 2908, 3427, 1406, 1514, 1945, 3669, 2374, 1290, 1050, 92, 353, 1400, 1492, 1858, 3324, 996, 3970, 3578, 2010, 3930, 3418, 1370, 1370, 1372, 1378, 1402, 1498, 1882, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2030, 4011, 3743, 2669, 2469, 1671, 2575, 2094, 171, 669, 2663, 2447, 1581, 2215, 655, 2606, 2220, 675, 2686, 2537, 1944, 3667, 2366, 1260, 932, 3716, 2563, 2047, 4077, 4008, 3731, 2621, 2279, 911, 3630, 2219, 671, 2669, 2472, 1684, 2625, 2296, 980, 3906, 3323, 989, 3942, 3468, 1571, 2175, 495, 1966, 3756, 2723, 2687, 2543, 1966, 3756, 2722, 2684, 2532, 1924, 3588, 2050, 4092, 4068, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 524, 2082, 122, 473, 1877, 3400, 1298, 1081, 213, 840, 3345, 1079, 205, 808, 3217, 566, 2251, 798, 3180, 420, 1667, 2557, 2023, 3982, 3625, 2197, 582, 2314, 1050, 89, 342, 1356, 1316, 1154, 508, 2018, 3962, 3546, 1881, 3414, 1353, 1303, 1101, 294, 1162, 538, 2139, 350, 1385, 1430, 1609, 2327, 1103, 302, 1193, 661, 2629, 2309, 1032, 18, 59, 222, 874, 3483, 1630, 2411, 1438, 1643, 2463, 1647, 2478, 1707, 2719, 2669, 2470, 1675, 2591, 2159, 430, 1707, 2719, 2670, 2474, 1690, 2651, 2398, 1386, 1435, 1630, 2410, 1434, 1627, 2399, 1390, 1450, 1692, 2659, 2431, 1518, 1963, 3742, 2667, 2462, 1642, 2458, 1625, 2390, 1355, 1309, 1128, 403, 1597, 2280, 916, 3650, 2297, 982, 3914, 3354, 1113, 342, 1354, 1305, 1109, 328, 1298, 1081, 215, 847, 3374, 1193, 662, 2634, 2329, 1110, 332, 1314, 1148, 483, 1919, 3565, 1960, 3729, 2613, 2245, 775, 3086, 44, 163, 638, 2539, 1950, 3689, 2456, 1620, 2370, 1276, 995, 3966, 3564, 1953, 3704, 2516, 1857, 3318, 969, 3863, 3151, 302, 1194, 668, 2660, 2434, 1532, 2017, 3957, 3525, 1799, 3085, 37, 133, 519, 2061, 40, 145, 566, 2249, 789, 3141, 261, 1030, 10, 27, 94, 363, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 3940, 3457, 1526, 1996, 3873, 3192, 465, 1846, 3276, 801, 3191, 464, 1844, 3268, 769, 3064, 4049, 3896, 3284, 836, 3330, 1019, 4064, 3956, 3524, 1794, 3067, 4064, 3953, 3512, 1748, 2882, 3324, 993, 3960, 3538, 1850, 3289, 856, 3411, 1341, 1256, 913, 3639, 2256, 820, 3266, 761, 3031, 3919, 3373, 1192, 657, 2613, 2245, 776, 3092, 65, 246, 972, 3874, 3195, 479, 1903, 3503, 1709, 2727, 2701, 2600, 2193, 565, 2248, 785, 3126, 202, 794, 3163, 350, 1387, 1438, 1642, 2459, 1631, 2416, 1460, 1730, 2811, 3037, 3941, 3464, 1556, 2116, 257, 1015, 4046, 3883, 3231, 622, 2476, 1698, 2683, 2527, 1903, 3501, 1704, 2706, 2617, 2263, 845, 3368, 1172, 580, 2306, 1020, 4068, 3972, 3585, 2040, 4052, 3906, 3324, 996, 3971, 3582, 2025, 3991, 3664, 2356, 1220, 772, 3074, 4090, 4060, 3940, 3457, 1528, 2002, 3900, 3297, 887, 3535, 1838, 3244, 674, 2684, 2530, 1913, 3543, 1871, 3376, 1202, 699, 2781, 2919, 3471, 1584, 2225, 693, 2759, 2830, 3113, 151, 592, 2356, 1217, 758, 3019, 3870, 3180, 418, 1658, 2522, 1881, 3415, 1360, 1329, 1205, 710, 2827, 3101, 104, 401, 1592, 2257, 822, 3273, 792, 3156, 321, 1271, 975, 3887, 3245, 679, 2703, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 2037, 4040, 3860, 3138, 249, 982, 3915, 3359, 1135, 431, 1710, 2730, 2714, 2651, 2399, 1392, 1458, 1721, 2776, 2900, 3395, 1278, 1003, 3997, 3688, 2450, 1595, 2271, 878, 3499, 1694, 2667, 2463, 1645, 2472, 1684, 2627, 2303, 1007, 4015, 3759, 2733, 2728, 2708, 2625, 2296, 977, 3896, 3284, 834, 3324, 996, 3969, 3575, 1998, 3882, 3226, 604, 2401, 1399, 1487, 1839, 3245, 678, 2700, 2596, 2177, 502, 1993, 3864, 3156, 323, 1279, 1005, 4005, 3717, 2568, 2068, 65, 247, 975, 3885, 3240, 658, 2618, 2266, 858, 3418, 1370, 1371, 1373, 1381, 1415, 1550, 2092, 161, 632, 2514, 1850, 3292, 865, 3447, 1486, 1835, 3231, 622, 2474, 1690, 2652, 2402, 1402, 1500, 1892, 3457, 1528, 2004, 3905, 3320, 980, 3906, 3321, 984, 3922, 3388, 1252, 900, 3586, 2044, 4068, 3969, 3576, 2004, 3908, 3330, 1020, 4068, 3972, 3588, 2049, 4086, 4041, 3862, 3148, 291, 1150, 489, 1944, 3665, 2358, 1225, 791, 3152, 308, 1219, 766, 3052, 4004, 3714, 2553, 2008, 3922, 3386, 1242, 860, 3428, 1412, 1540, 2051, 4095, 4078, 4012, 3746, 2684, 2529, 1912, 3539, 1855, 3309, 936, 3729, 2616, 2259, 830, 3306, 922, 3676, 2403, 1406, 1514, 1946, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 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, 65, 245, 965, 3848, 3091, 61, 232, 913, 3640, 2257, 821, 3271, 783, 3118, 171, 671, 2672, 2483, 1725, 2789, 2952, 3604, 2113, 247, 973, 3880, 3217, 568, 2258, 827, 3295, 879, 3502, 1708, 2723, 2686, 2537, 1944, 3665, 2360, 1234, 827, 3293, 870, 3465, 1558, 2122, 281, 1111, 334, 1321, 1174, 587, 2334, 1132, 418, 1657, 2517, 1861, 3333, 1030, 9, 23, 77, 296, 1169, 567, 2254, 809, 3222, 586, 2330, 1116, 355, 1407, 1519, 1966, 3753, 2709, 2629, 2310, 1034, 26, 92, 354, 1403, 1501, 1893, 3461, 1541, 2056, 18, 57, 214, 842, 3355, 1118, 362, 1435, 1630, 2412, 1444, 1667, 2558, 2026, 3994, 3673, 2390, 1355, 1310, 1132, 417, 1655, 2509, 1832, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 90, 347, 1373, 1381, 1413, 1544, 2068, 65, 246, 969, 3862, 3145, 280, 1105, 309, 1222, 778, 3099, 94, 364, 1444, 1668, 2562, 2042, 4058, 3929, 3414, 1353, 1301, 1094, 266, 1050, 90, 346, 1370, 1370, 1370, 1370, 1371, 1374, 1385, 1432, 1618, 2361, 1240, 850, 3385, 1239, 846, 3370, 1178, 601, 2391, 1357, 1317, 1157, 518, 2057, 22, 75, 285, 1126, 394, 1563, 2143, 365, 1446, 1674, 2588, 2148, 387, 1535, 2029, 4008, 3732, 2627, 2301, 998, 3980, 3620, 2178, 508, 2020, 3971, 3582, 2027, 3997, 3687, 2445, 1575, 2191, 558, 2220, 674, 2681, 2517, 1862, 3339, 1055, 111, 429, 1701, 2695, 2573, 2087, 142, 555, 2206, 620, 2468, 1668, 2561, 2040, 4052, 3907, 3327, 1008, 4017, 3768, 2772, 2882, 3324, 996, 3969, 3574, 1996, 3876, 3201, 502, 1995, 3869, 3175, 399, 1582, 2220, 676, 2692, 2564, 2050, 4091, 4061, 3944, 3476, 1601, 2296, 978, 3898, 3290, 860, 3425, 1400, 1489, 1847, 3278, 809, 3224, 595, 2367, 1262, 940, 3748, 2691, 2559, 2029, 4005, 3719, 2573, 2085, 136, 532, 2115, 253, 997, 3973, 3589, 2055, 15, 46, 171, 669, 2662, 2443, 1566, 2155, 414, 1641, 2455, 1614, 2345, 1173, 581, 2309, 1029, 6, 9, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1222, 780, 3108, 130, 506, 2011, 3936, 3444, 1475, 1791, 3056, 4018, 3771, 2783, 2926, 3499, 1695, 2671, 2479, 1709, 2728, 2708, 2626, 2298, 986, 3930, 3420, 1377, 1400, 1490, 1852, 3298, 890, 3548, 1889, 3447, 1488, 1842, 3258, 731, 2910, 3436, 1443, 1663, 2543, 1966, 3755, 2719, 2671, 2480, 1714, 2747, 2782, 2924, 3492, 1668, 2564, 2052, 4098, 4090, 4060, 3940, 3460, 1540, 2049, 4088, 4050, 3900, 3300, 897, 3575, 2000, 3892, 3266, 763, 3040, 3954, 3516, 1761, 2936, 3538, 1850, 3291, 862, 3436, 1444, 1668, 2564, 2050, 4090, 4059, 3933, 3432, 1428, 1604, 2307, 1024, 4084, 4036, 3842, 3067, 4063, 3951, 3504, 1714, 2748, 2788, 2948, 3585, 2037, 4040, 3860, 3140, 257, 1013, 4039, 3854, 3115, 158, 619, 2464, 1650, 2492, 1764, 2946, 3579, 2016, 3954, 3513, 1749, 2885, 3336, 1042, 57, 215, 847, 3375, 1198, 681, 2710, 2634, 2332, 1121, 376, 1491, 1853, 3302, 908, 3618, 2169, 469, 1861, 3336, 1042, 57, 215, 847, 3375, 1198, 684, 2721, 2680, 2514, 1851, 3294, 875, 3486, 1643, 2463, 1645, 2471, 1679, 2606, 2217, 661, 2630, 2314, 1052, 100, 385, 1527, 2000, 3892, 3265, 759, 3022, 3883, 3231, 621, 2472, 1682, 2620, 2274, 892, 3554, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 774, 3082, 27, 95, 365, 1448, 1684, 2628, 2306, 1018, 4057, 3926, 3404, 1316, 1155, 509, 2023, 3981, 3623, 2189, 551, 2190, 553, 2199, 591, 2349, 1190, 649, 2582, 2122, 282, 1115, 350, 1388, 1444, 1668, 2564, 2049, 4087, 4047, 3885, 3237, 648, 2579, 2110, 233, 917, 3656, 2324, 1092, 258, 1020, 4068, 3971, 3582, 2026, 3995, 3679, 2414, 1452, 1700, 2690, 2555, 2013, 3943, 3470, 1577, 2200, 594, 2363, 1245, 871, 3469, 1576, 2196, 577, 2295, 974, 3881, 3221, 584, 2324, 1091, 253, 1000, 3988, 3652, 2305, 1014, 4044, 3876, 3204, 516, 2050, 4092, 4065, 3958, 3531, 1821, 3175, 399, 1582, 2218, 668, 2660, 2436, 1540, 2051, 4095, 4077, 4008, 3732, 2628, 2308, 1028, 4098, 4091, 4063, 3952, 3508, 1732, 2820, 3076, 4100, 4099, 4095, 4079, 4013, 3752, 2708, 2628, 2308, 1026, 4090, 4059, 3935, 3437, 1448, 1684, 2628, 2305, 1016, 4050, 3899, 3295, 877, 3496, 1684, 2625, 2296, 980, 3908, 3331, 1023, 4077, 4006, 3723, 2590, 2155, 414, 1644, 2467, 1663, 2543, 1966, 3756, 2723, 2685, 2536, 1940, 3649, 2293, 965, 3847, 3085, 37, 136, 529, 2101, 197, 773, 3078, 12, 36, 132, 516, 2050, 4092, 4068, 3971, 3581, 2024, 3987, 3647, 2287, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 4021, 3784, 2833, 3127, 208, 818, 3259, 734, 2923, 3488, 1652, 2497, 1781, 3015, 3855, 3120, 178, 699, 2781, 2919, 3470, 1580, 2212, 642, 2556, 2020, 3970, 3577, 2007, 3919, 3374, 1194, 666, 2652, 2404, 1410, 1532, 2020, 3970, 3580, 2018, 3963, 3551, 1904, 3505, 1719, 2766, 2859, 3232, 628, 2498, 1786, 3036, 3940, 3457, 1527, 2000, 3892, 3268, 772, 3073, 4085, 4040, 3860, 3140, 260, 1025, 4088, 4050, 3899, 3295, 879, 3503, 1712, 2738, 2748, 2785, 2936, 3540, 1857, 3320, 978, 3898, 3291, 864, 3444, 1476, 1796, 3074, 4092, 4065, 3959, 3534, 1835, 3230, 620, 2468, 1666, 2553, 2007, 3919, 3373, 1191, 656, 2609, 2231, 719, 2864, 3252, 706, 2812, 3043, 3965, 3560, 1940, 3649, 2296, 980, 3905, 3320, 980, 3905, 3317, 968, 3860, 3138, 252, 995, 3965, 3560, 1940, 3649, 2296, 980, 3905, 3320, 980, 3905, 3317, 965, 3848, 3089, 55, 206, 811, 3230, 619, 2462, 1642, 2457, 1624, 2388, 1346, 1275, 990, 3948, 3490, 1660, 2530, 1913, 3543, 1872, 3378, 1209, 727, 2894, 3372, 1187, 640, 2548, 1986, 3834, 3034, 3931, 3423, 1391, 1454, 1706, 2713, 2648, 2385, 1336, 1233, 823, 3277, 805, 3208, 529, 2104, 212, 836, 3332, 1027, 4095, 4080, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1704, 2706, 2620, 2274, 891, 3551, 1901, 3496, 1681, 2616, 2259, 831, 3310, 940, 3748, 2692, 2561, 2039, 4046, 3883, 3230, 620, 2467, 1661, 2536, 1939, 3648, 2289, 952, 3793, 2871, 3279, 815, 3245, 680, 2706, 2617, 2264, 849, 3381, 1224, 788, 3139, 255, 1005, 4007, 3726, 2602, 2204, 612, 2433, 1528, 2003, 3901, 3303, 911, 3630, 2218, 666, 2651, 2398, 1388, 1441, 1655, 2512, 1844, 3267, 765, 3048, 3986, 3641, 2264, 850, 3388, 1252, 898, 3580, 2020, 3972, 3588, 2052, 4097, 4086, 4042, 3867, 3166, 363, 1438, 1644, 2467, 1661, 2534, 1932, 3619, 2175, 495, 1967, 3760, 2740, 2756, 2820, 3076, 4099, 4094, 4075, 3998, 3692, 2466, 1657, 2519, 1872, 3377, 1208, 722, 2876, 3299, 894, 3564, 1956, 3715, 2558, 2028, 4004, 3716, 2564, 2052, 4097, 4088, 4052, 3908, 3329, 1016, 4052, 3905, 3320, 980, 3906, 3324, 994, 3964, 3556, 1924, 3587, 2045, 4072, 3985, 3637, 2248, 788, 3137, 247, 975, 3885, 3237, 648, 2579, 2109, 230, 906, 3612, 2148, 385, 1528, 2001, 3896, 3284, 833, 3317, 966, 3851, 3102, 106, 411, 1630, 2412, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2081, 117, 454, 1802, 3097, 85, 325, 1285, 1032, 17, 56, 212, 833, 3318, 969, 3863, 3149, 293, 1157, 519, 2061, 37, 133, 518, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]