#include <bits/stdc++.h>
#include "Alice.h"
using namespace std;
#define ll long long
vector<vector<int>> ars(25);
void init() {
ars[0] = {1779, 3520, 3644, 1859, 4955, 4806, 1106, 413, 4458, 3976, 3250, 879, 1646, 1681, 4621, 782, 90, 23, 4757, 314, 4523, 258, 52, 1840, 3543, 4678, 346, 3091, 3808, 1621, 4905, 2183, 4489, 1823, 4959, 1868, 4828, 3980, 4357, 2447, 2665, 86, 390, 1331, 1980, 342, 1499, 4092, 1144, 3556, 1797, 2281, 3433, 4616, 1427, 2293, 3208, 3862, 3225, 2518, 3982, 1253, 3100, 4044, 3494, 3998, 2744, 4548, 3878, 378, 1036, 2168, 1085, 3505, 4459, 2320, 3476, 3447, 1029, 4701, 935, 2811, 632, 4153, 4882, 4600, 2782, 3930, 3234, 4930, 20, 1854, 3385, 3472, 3902, 1841, 4119, 145, 4751, 4645, 4068, 1351, 3742, 1346, 2563, 2725, 306, 1866, 1977, 451, 1535, 3874, 860, 1206, 2029, 129, 2787, 4129, 3465, 3446, 2399, 92, 579, 3326, 4237, 1169, 1458, 603, 4271, 1562, 2173, 184, 107, 4251, 1735, 4754, 767, 394, 1739, 778, 2473, 4111, 3988, 1287, 1582, 1682, 862, 3632, 533, 4025, 1944, 1100, 119, 4252, 2342, 3019, 2649, 2074, 3552, 662, 1833, 3012, 1239, 3008, 2043, 2785, 3507, 2005, 4243, 3021, 4407, 979, 3110, 2018, 4425, 3285, 4387, 4383, 1175, 1401, 1771, 2699, 2907, 4286, 214, 3, 2898, 874, 4473, 1223, 2745, 3669, 1874, 3065, 3169, 2774, 4680, 3158, 3149, 3969};
ars[1] = {1625, 1031, 3714, 1507, 3738, 3168, 2638, 535, 188, 2528, 1083, 1502, 4202, 1059, 383, 3086, 546, 4672, 635, 1319, 185, 531, 4717, 3518, 3256, 244, 34, 302, 4452, 698, 648, 2723, 4221, 2289, 4926, 2031, 3247, 1374, 3191, 2404, 3082, 2796, 4261, 2945, 4842, 2985, 1927, 3517, 4190, 3502, 2124, 468, 4949, 998, 3320, 580, 170, 4035, 1382, 1602, 1407, 4762, 4957, 3238, 2218, 3356, 735, 2476, 4104, 3825, 887, 2311, 3113, 3994, 1219, 2727, 3026, 428, 2953, 4448, 4981, 2946, 541, 4540, 4409, 3586, 3087, 3150, 888, 2392, 4029, 1046, 3041, 3907, 2221, 3180, 4143, 3384, 460, 4498, 4030, 2992, 4152, 626, 3725, 790, 227, 2219, 2826, 2499, 121, 1464, 3989, 754, 4784, 2454, 159, 4831, 173, 4211, 4107, 2954, 3136, 2812, 1081, 4091, 1478, 1123, 1241, 4505, 3919, 1131, 3389, 2136, 795, 2706, 1940, 224, 2696, 2225, 4723, 3053, 1200, 3724, 80, 1183, 3395, 2730, 3470, 1738, 409, 4820, 2088, 3835, 396, 2272, 4902, 4856, 96, 959, 4999, 89, 4732, 2234, 1345, 4014, 2367, 2256, 1177, 3929, 4017, 2541, 4740, 828, 4809, 529, 901, 4575, 3697, 4975, 4526, 4829, 57, 4093, 4039, 3807, 179, 3550, 1979, 4923, 3027, 4282, 4813, 236, 1245, 1724, 4127, 2091, 1756, 3269};
ars[2] = {4598, 2887, 334, 4123, 1403, 1652, 4405, 3818, 2994, 796, 3321, 4609, 4960, 4449, 4903, 294, 2646, 3089, 2205, 3276, 4343, 3912, 2718, 1068, 839, 3529, 2147, 625, 384, 751, 3187, 3004, 3183, 4002, 4879, 4001, 859, 4985, 4722, 973, 4179, 1363, 3631, 2119, 1009, 4718, 905, 1651, 2480, 3589, 602, 1743, 3463, 3625, 213, 2871, 2287, 180, 4578, 4585, 2138, 4185, 801, 2873, 2908, 259, 942, 3636, 999, 270, 3196, 2956, 794, 1552, 2632, 2624, 835, 2277, 1658, 2767, 141, 1087, 1933, 642, 1495, 4782, 613, 4189, 4983, 1800, 2075, 1222, 321, 3831, 3764, 2830, 2055, 1216, 3569, 2226, 4367, 418, 4486, 3413, 3762, 3512, 4773, 2494, 3927, 427, 1397, 2835, 3090, 4322, 1198, 585, 335, 1207, 530, 88, 2926, 3609, 2721, 2348, 974, 1668, 4987, 2590, 4065, 1252, 376, 2568, 232, 2350, 4200, 4769, 969, 3575, 1688, 2409, 3050, 3040, 4519, 3054, 3539, 2875, 1417, 434, 3412, 4257, 1120, 1142, 4016, 1984, 3537, 3101, 2236, 2862, 1364, 2596, 1820, 909, 1626, 1129, 272, 4087, 4456, 4054, 1466, 2134, 2415, 4095, 2341, 2157, 2550, 2045, 689, 1851, 3692, 4019, 1600, 3521, 4321, 986, 2286, 2481, 3325, 1676, 2534, 4516, 4365, 3486, 2531, 4290, 3557, 233, 4351, 948, 283, 4384};
ars[3] = {3984, 3797, 1286, 2283, 3811, 2755, 2492, 1890, 295, 2600, 2855, 4398, 3131, 2627, 2694, 4120, 4836, 4121, 618, 1396, 24, 750, 3154, 2336, 4579, 1560, 4438, 3911, 3749, 329, 1503, 3454, 1218, 4907, 1393, 4057, 2588, 2877, 192, 3203, 3332, 2368, 4090, 2766, 2046, 710, 4693, 1853, 3933, 2328, 2851, 4766, 1717, 3828, 1484, 3491, 4431, 3020, 4122, 2467, 3469, 2906, 1032, 4771, 1700, 776, 1372, 2595, 2816, 2786, 1925, 2885, 3614, 3740, 3651, 1353, 3756, 700, 2704, 1509, 808, 4170, 4468, 1751, 1969, 1760, 568, 1862, 3409, 4688, 326, 833, 3223, 3667, 1096, 4110, 2073, 2849, 3672, 766, 2276, 2160, 3230, 4925, 2020, 1982, 1178, 2583, 3720, 1441, 4961, 765, 2497, 1440, 2547, 4000, 2959, 3058, 4098, 4511, 4666, 3318, 3184, 3616, 3031, 1526, 1369, 4194, 1354, 2188, 4420, 4602, 1203, 3776, 1543, 820, 271, 3801, 2496, 1916, 2185, 4603, 1318, 3437, 3564, 4964, 4350, 4133, 1809, 264, 2860, 3673, 389, 4186, 560, 4114, 1563, 289, 3654, 2591, 2815, 2810, 3282, 3205, 1015, 4543, 3117, 483, 975, 2793, 13, 1355, 2798, 1498, 3188, 1598, 1765, 667, 3072, 2857, 4631, 2118, 2844, 4466, 2675, 1413, 4534, 3565, 2973, 3580, 3647, 4583, 962, 1935, 4719, 2809, 1326, 2867, 2238, 157};
ars[4] = {1520, 1140, 38, 439, 3648, 2838, 4668, 3905, 3185, 2113, 4998, 2249, 699, 59, 337, 3751, 1298, 432, 3489, 3084, 647, 2643, 3532, 570, 2176, 4191, 298, 2776, 4015, 7, 1260, 2241, 4819, 3729, 4715, 168, 1284, 54, 1425, 3939, 4914, 1614, 565, 1089, 4503, 4056, 2500, 2594, 640, 630, 2731, 2795, 1167, 3837, 2949, 4711, 2935, 4622, 2947, 155, 1220, 3761, 3555, 3085, 3708, 3380, 4594, 1049, 3643, 2162, 3288, 4268, 2942, 2345, 3588, 42, 4494, 1482, 3309, 4780, 3420, 4653, 134, 2083, 1512, 1731, 475, 1968, 1881, 4031, 4848, 628, 4254, 3630, 4684, 3613, 2268, 3815, 1442, 2929, 2880, 1293, 3561, 2808, 1633, 716, 3525, 1624, 2366, 2142, 992, 3602, 3585, 1883, 1830, 72, 120, 951, 2617, 1041, 1233, 921, 3350, 223, 3434, 3778, 1385, 1692, 4356, 1712, 1344, 3610, 4436, 1514, 4525, 110, 491, 1485, 4830, 1186, 2247, 3049, 3513, 1058, 3460, 4273, 1885, 1961, 1742, 4790, 4742, 1607, 1487, 2273, 4369, 1888, 1446, 791, 3526, 3707, 4467, 2036, 1213, 4860, 3120, 338, 2384, 4464, 2166, 806, 3652, 1720, 4962, 3044, 4928, 2267, 1506, 4562, 1040, 3137, 2052, 2978, 1634, 1017, 3741, 1105, 4222, 4606, 268, 4509, 3243, 2364, 2883, 3278, 2768, 3633, 3803, 4324, 481, 1846};
ars[5] = {2777, 4258, 1728, 397, 552, 3057, 2526, 4933, 4845, 4393, 2780, 62, 4097, 1115, 1279, 171, 4777, 2439, 2833, 467, 447, 2466, 4556, 3991, 3833, 1954, 4461, 3009, 977, 1002, 395, 2728, 2739, 1585, 4714, 4992, 495, 1879, 412, 3006, 1793, 4444, 2292, 4574, 1716, 2996, 972, 301, 967, 2028, 3889, 3152, 1919, 3145, 1538, 3261, 800, 3419, 3595, 956, 1513, 2544, 1315, 3490, 2132, 910, 943, 793, 3111, 3822, 1430, 1785, 1606, 4791, 4247, 2940, 1282, 978, 3498, 848, 4181, 4570, 2410, 79, 4913, 4145, 1332, 3873, 1593, 4888, 1611, 1377, 4011, 752, 4331, 2123, 340, 1628, 572, 847, 3639, 980, 3076, 2933, 1999, 275, 4293, 745, 3194, 3226, 1650, 944, 2554, 3786, 183, 4729, 1773, 319, 4156, 1667, 1447, 2100, 3248, 4215, 3244, 3810, 2714, 2680, 3075, 3883, 1664, 1145, 3657, 3195, 478, 4788, 4379, 3102, 2060, 1192, 3880, 1366, 1380, 391, 166, 257, 430, 2980, 1181, 669, 1531, 4611, 1048, 3268, 3259, 3849, 2145, 4875, 4058, 4391, 4971, 4320, 3885, 3231, 1924, 2457, 769, 2032, 617, 1683, 1490, 1740, 2239, 3204, 228, 4716, 2736, 1812, 914, 4472, 1195, 2056, 4161, 1158, 4361, 1418, 3408, 3658, 1469, 3367, 176, 2495, 2575, 4553, 1379, 43, 2485, 242, 353, 989};
ars[6] = {1101, 3713, 4197, 2266, 527, 850, 729, 1551, 1161, 1695, 4953, 2382, 1943, 1923, 2828, 4360, 2041, 1679, 1357, 2689, 2652, 1254, 2968, 608, 142, 3854, 497, 1580, 1084, 1133, 3335, 3146, 250, 2053, 587, 3947, 946, 2577, 1627, 1609, 1047, 3857, 1342, 3232, 786, 941, 1322, 3970, 916, 607, 3109, 3894, 4070, 4400, 3922, 614, 1597, 2303, 4517, 3910, 4919, 1780, 1381, 3270, 1928, 1530, 1527, 3566, 2453, 3151, 2820, 3284, 853, 411, 307, 876, 673, 4136, 2592, 253, 2414, 21, 2329, 445, 4565, 2442, 760, 988, 4283, 3381, 1321, 1303, 2363, 2889, 2593, 4198, 1461, 2084, 375, 330, 3005, 2958, 4160, 2498, 4996, 3759, 736, 1268, 548, 1280, 3887, 3792, 996, 114, 832, 457, 1639, 2187, 1276, 1090, 2891, 235, 1428, 2913, 2019, 2035, 117, 4555, 3300, 1694, 837, 1615, 1686, 1911, 1544, 4696, 2677, 1367, 2214, 4906, 1993, 4674, 2635, 415, 4192, 3186, 3283, 3024, 195, 1899, 4843, 2259, 4619, 4770, 4303, 3103, 1934, 4835, 1274, 4027, 2093, 4628, 4864, 518, 3123, 2177, 4003, 1972, 4560, 4969, 2010, 2967, 4447, 4744, 3039, 1541, 2702, 4595, 1237, 470, 1151, 1869, 2265, 4295, 1882, 4477, 1410, 312, 2648, 1674, 193, 1992, 3303, 111, 4106, 3731, 616, 2215, 2599, 3138};
ars[7] = {3733, 3038, 4359, 1910, 704, 2135, 2840, 1477, 2636, 4453, 584, 1247, 4730, 4597, 1836, 1948, 2597, 1673, 4993, 4141, 2764, 1483, 3432, 4533, 1481, 2924, 4673, 4713, 2150, 4074, 4655, 1121, 322, 4592, 730, 3258, 4994, 201, 3781, 2850, 2395, 4944, 1642, 2564, 871, 1494, 4386, 3747, 1328, 3966, 3357, 3934, 2549, 4912, 1306, 1893, 4973, 3795, 1001, 749, 1262, 4876, 2737, 4521, 2858, 1072, 1556, 2243, 3074, 3182, 4371, 4125, 2955, 1013, 3563, 2614, 2997, 2859, 2783, 612, 4948, 1406, 934, 3826, 783, 4238, 593, 937, 1827, 4694, 2970, 1235, 3373, 3073, 147, 3217, 472, 4524, 3327, 4838, 2658, 878, 2237, 3453, 2312, 3798, 1375, 1476, 1815, 3771, 1917, 3676, 393, 1996, 2129, 133, 1653, 234, 3279, 1870, 4504, 1473, 2567, 3689, 1783, 3547, 3387, 362, 2229, 1784, 1075, 2169, 2114, 3081, 3886, 2598, 685, 3604, 4847, 25, 4422, 1025, 3313, 2340, 1565, 3391, 4554, 723, 575, 1921, 818, 4402, 2417, 3029, 4022, 372, 4296, 3979, 4223, 2398, 1288, 4502, 3441, 3444, 3229, 1160, 126, 2719, 3482, 3397, 4406, 2011, 4302, 3950, 2965, 2553, 2465, 3974, 841, 2545, 3567, 3322, 1504, 4544, 2986, 2232, 3695, 2158, 2193, 2133, 2605, 1936, 4661, 4059, 4105, 3396, 2203, 615, 4414, 2059};
ars[8] = {3070, 1236, 744, 1845, 3794, 3060, 1750, 4921, 2613, 2557, 3118, 210, 2437, 3080, 4883, 2910, 856, 2244, 4759, 3452, 1660, 484, 2540, 727, 2472, 2422, 1443, 81, 3333, 2202, 4785, 2683, 1685, 4457, 239, 2400, 2546, 3363, 4224, 4980, 4055, 3775, 1431, 4028, 2645, 4399, 2712, 4542, 2387, 3812, 1337, 4823, 2128, 2440, 827, 4108, 1126, 2308, 4712, 3042, 3617, 1790, 4234, 4313, 1817, 2330, 4047, 566, 2024, 2742, 407, 3392, 1892, 4599, 1741, 547, 1855, 3587, 2722, 3093, 1146, 3095, 885, 665, 2141, 4670, 4124, 2881, 1825, 16, 1035, 4803, 1637, 207, 3214, 4837, 771, 2824, 2974, 4264, 2769, 212, 4507, 1119, 1320, 3017, 3941, 1251, 1880, 2892, 1249, 2369, 3663, 1974, 1191, 2797, 629, 2918, 2264, 1886, 3167, 226, 2489, 620, 3181, 1258, 325, 3819, 2488, 3144, 1963, 1023, 217, 305, 2982, 3105, 4319, 1529, 466, 4435, 4796, 3264, 2539, 1571, 4515, 2186, 3744, 2021, 1043, 1764, 1542, 3003, 3262, 1707, 4814, 1127, 2033, 1704, 1603, 3623, 3062, 1837, 2455, 3629, 3715, 2555, 2013, 345, 3730, 1117, 1462, 952, 4649, 4043, 3376, 1409, 4410, 4677, 1422, 3739, 3592, 1416, 2806, 3909, 4772, 3222, 247, 2007, 3861, 4596, 4236, 4140, 1168, 441, 1612, 3578, 717, 2507, 1693, 4855};
ars[9] = {926, 1592, 3316, 557, 2048, 4936, 1226, 4131, 2629, 2274, 4900, 4483, 4708, 380, 913, 1330, 3706, 4720, 6, 653, 3531, 1449, 3423, 1675, 554, 2450, 2666, 1400, 4278, 4662, 1649, 3709, 1016, 2927, 945, 3466, 1291, 984, 2076, 1746, 293, 896, 425, 1486, 1261, 3456, 469, 1308, 1545, 3055, 4256, 4032, 3497, 2805, 2216, 3428, 1014, 2530, 1378, 1894, 3964, 4866, 2402, 4231, 1573, 4942, 1324, 420, 4276, 1500, 2846, 3923, 1373, 1587, 200, 1386, 2661, 1806, 2916, 2707, 589, 3129, 2543, 3177, 2370, 2324, 873, 127, 3211, 453, 1435, 3796, 780, 2002, 990, 311, 4690, 1824, 1238, 2397, 2418, 3752, 1229, 3305, 3228, 67, 361, 1850, 1376, 4241, 742, 4163, 1166, 3869, 4281, 1471, 4889, 3898, 2346, 3965, 2936, 1450, 4624, 819, 4463, 2217, 442, 3611, 3827, 3132, 3484, 1561, 4288, 821, 1536, 4705, 834, 4937, 2668, 701, 3130, 2532, 3122, 3530, 204, 763, 1998, 3011, 3820, 4989, 4874, 3675, 4620, 3347, 1412, 677, 4746, 3342, 2735, 964, 4147, 4067, 4508, 1648, 2888, 1489, 4561, 3293, 2305, 3582, 285, 3841, 4520, 4148, 2057, 2571, 3216, 2110, 132, 1399, 605, 196, 3918, 1786, 2823, 450, 2817, 1311, 2198, 4284, 3166, 2576, 3506, 3311, 2688, 3405, 94, 595, 918, 494};
ars[10] = {2423, 1887, 3593, 1426, 3906, 1718, 4274, 2087, 627, 2972, 3233, 2471, 2175, 4013, 2640, 190, 829, 4660, 2171, 4118, 4381, 4886, 3868, 549, 3148, 1300, 2290, 2802, 2393, 3851, 4085, 2644, 82, 3236, 4397, 2863, 2159, 3097, 3157, 838, 3944, 1109, 377, 3612, 4311, 2443, 3450, 2307, 672, 1547, 3426, 3178, 1678, 3399, 1913, 2137, 4308, 2615, 3924, 1018, 598, 3308, 2762, 2201, 1517, 408, 650, 4451, 1699, 3414, 1884, 3881, 2294, 2144, 4566, 4270, 3784, 3323, 202, 872, 4299, 4695, 4892, 3688, 1905, 1147, 2310, 3958, 3920, 3147, 4536, 4187, 3116, 1456, 3048, 1988, 2482, 4424, 1950, 764, 4285, 4576, 1671, 401, 118, 2195, 1534, 3379, 3948, 2837, 703, 4442, 2925, 1404, 965, 792, 3475, 3411, 3127, 4841, 1872, 2445, 954, 877, 4333, 4076, 2080, 4580, 4500, 3383, 2116, 634, 511, 2210, 3417, 4012, 3422, 3600, 2449, 1778, 2468, 2475, 4675, 4549, 4954, 30, 2715, 2322, 4546, 2700, 3162, 4137, 2240, 3952, 474, 4244, 341, 3935, 3624, 1669, 3372, 1211, 243, 517, 3914, 2179, 1794, 3296, 4747, 3716, 102, 3705, 1518, 3496, 670, 3462, 2969, 4682, 1938, 3772, 1134, 1638, 2931, 4474, 2630, 4230, 4128, 3480, 949, 4658, 1154, 4033, 3726, 1437, 3510, 3779, 3836, 1749, 649, 4495};
ars[11] = {4126, 3690, 4146, 1955, 993, 26, 4557, 2139, 4853, 2095, 4312, 1805, 4309, 3681, 1190, 2819, 2253, 3078, 1336, 2375, 1546, 2566, 2987, 4783, 4337, 2355, 925, 963, 3846, 452, 924, 1576, 2211, 2227, 1816, 1092, 2656, 1256, 1455, 3493, 4040, 4625, 1559, 1184, 2923, 1448, 725, 4833, 633, 966, 2999, 4239, 3703, 4018, 4305, 4317, 2579, 1094, 1215, 1459, 1172, 4880, 4008, 288, 2773, 1732, 4329, 2672, 1897, 983, 3942, 2609, 3783, 4733, 1497, 2919, 199, 4721, 4734, 1475, 536, 1082, 1065, 4643, 3314, 421, 2651, 1832, 4810, 85, 721, 733, 2064, 2432, 240, 1302, 3198, 4434, 1799, 4537, 3528, 3842, 3538, 4512, 355, 840, 194, 1350, 679, 3711, 2089, 3985, 2408, 433, 3360, 3670, 586, 359, 2899, 1122, 1953, 87, 3317, 2365, 2957, 4724, 3967, 1452, 3319, 3224, 4250, 1474, 347, 56, 1842, 663, 3913, 4804, 3763, 1411, 3142, 3206, 3448, 1248, 10, 1460, 4176, 4637, 789, 4535, 1709, 3839, 4454, 1395, 1689, 3126, 3277, 2327, 2034, 2381, 2781, 564, 3106, 2460, 1523, 3817, 1931, 4368, 1672, 2044, 1347, 3068, 4177, 4613, 1246, 3524, 4988, 804, 645, 525, 4748, 4167, 4171, 2250, 269, 3990, 2078, 655, 3698, 2748, 688, 2371, 2121, 3562, 2006, 499, 3691, 3554, 567, 2302};
ars[12] = {4947, 4499, 2847, 2799, 2659, 4901, 2420, 4077, 4739, 3572, 2107, 4328, 1323, 1232, 4370, 4310, 1052, 3859, 3175, 191, 14, 1270, 1102, 105, 758, 381, 3867, 137, 3306, 4513, 2502, 3993, 1932, 4159, 770, 4332, 4094, 4775, 1479, 2693, 4872, 103, 3163, 4363, 1066, 2713, 4679, 4636, 3995, 1266, 2687, 2337, 9, 352, 1128, 1020, 2868, 4584, 1316, 643, 1480, 4795, 2878, 4005, 678, 2669, 3664, 1210, 3877, 1645, 3176, 1028, 1042, 652, 1108, 4432, 3685, 4671, 1696, 686, 4492, 1107, 148, 1307, 2313, 957, 3542, 2717, 2655, 1617, 3872, 1492, 3272, 2255, 2585, 2446, 1684, 459, 4605, 479, 1926, 880, 1733, 3721, 3348, 2631, 1242, 4038, 4685, 4571, 160, 3573, 4952, 4344, 2708, 3481, 4096, 4865, 1856, 61, 4753, 1463, 4741, 3735, 4210, 315, 4797, 4292, 2101, 2153, 4646, 4471, 1182, 3468, 644, 4869, 4910, 4358, 863, 1231, 4184, 1329, 2681, 3668, 4897, 2246, 1818, 3199, 2174, 3608, 3753, 2377, 1234, 3576, 3814, 4707, 4527, 1787, 3932, 1754, 4266, 1000, 1414, 276, 462, 3571, 4417, 4728, 1802, 694, 1795, 2804, 1390, 2505, 659, 682, 3960, 3418, 1532, 3646, 854, 3955, 2012, 2842, 2928, 410, 2376, 2552, 2692, 1706, 3173, 2353, 4301, 1757, 4354, 2674, 3329, 1062, 2228, 3694};
ars[13] = {1333, 3393, 746, 2156, 4528, 524, 2094, 4419, 3968, 3777, 4396, 3304, 2493, 2354, 3483, 1755, 2062, 3665, 3290, 230, 1525, 156, 163, 1212, 131, 2026, 3978, 95, 2067, 826, 953, 162, 4887, 2902, 3926, 955, 2749, 71, 4132, 3375, 2667, 186, 2895, 2684, 1038, 1185, 4931, 3067, 252, 2461, 1758, 2092, 1644, 3287, 4702, 2391, 2894, 4768, 1736, 2425, 254, 4482, 68, 3782, 4478, 2206, 485, 2270, 2131, 3346, 4149, 3659, 4918, 1335, 465, 368, 1281, 443, 2621, 4010, 4551, 1429, 1269, 3750, 2105, 922, 606, 4485, 344, 15, 1745, 3421, 153, 3897, 287, 2181, 2512, 1828, 4909, 1155, 446, 728, 2109, 3527, 2347, 540, 2178, 4048, 693, 1896, 906, 1661, 1467, 1878, 1843, 12, 578, 3804, 3957, 597, 2963, 3627, 1143, 4306, 3033, 4811, 4725, 93, 2054, 2172, 4764, 83, 2383, 1975, 1037, 2102, 1691, 49, 1056, 4691, 3954, 2233, 3451, 2792, 4976, 3439, 4871, 2380, 1772, 1877, 542, 4763, 4207, 1064, 4974, 2519, 970, 106, 3133, 3511, 1027, 2657, 1719, 4654, 2647, 3768, 1519, 2841, 267, 636, 2068, 4703, 3888, 2818, 519, 3263, 477, 825, 2140, 1632, 4941, 1863, 32, 2130, 2189, 3577, 4657, 4817, 4439, 3298, 2607, 3549, 241, 508, 2434, 1453, 4249, 1616, 3515, 3161};
ars[14] = {74, 4531, 857, 4315, 3467, 4440, 569, 1989, 1521, 1591, 610, 1179, 1305, 2426, 1942, 4935, 3728, 4325, 4801, 4652, 2917, 543, 3094, 1540, 3083, 2501, 881, 2027, 724, 1088, 492, 781, 211, 3343, 687, 2278, 1465, 2604, 1370, 1714, 849, 3098, 1136, 1622, 3096, 1687, 2989, 622, 505, 3701, 3876, 3865, 3503, 3940, 3684, 8, 596, 3640, 3034, 2373, 4427, 3415, 2610, 2869, 797, 1164, 4877, 2122, 2069, 1810, 237, 1697, 4066, 3035, 971, 1227, 4480, 3722, 976, 4593, 851, 3732, 1987, 1813, 1387, 4026, 4323, 1095, 2248, 4376, 348, 1566, 1074, 3088, 2548, 2821, 2513, 1439, 310, 522, 2464, 203, 2879, 1391, 3996, 4706, 2893, 4950, 2562, 3201, 3696, 2670, 175, 3254, 2401, 1137, 40, 842, 1304, 2295, 2701, 2433, 1338, 2724, 2126, 2679, 3908, 2523, 1814, 845, 1986, 958, 4867, 149, 1273, 576, 4175, 3207, 1468, 3336, 702, 2698, 2385, 4034, 2071, 639, 4891, 2112, 379, 4692, 1033, 4330, 2000, 2090, 403, 2104, 638, 489, 1371, 3606, 2734, 3361, 4750, 2509, 2014, 4099, 3141, 1130, 2952, 3202, 4894, 351, 3971, 44, 2254, 656, 4318, 1730, 1240, 4262, 528, 3424, 3770, 4927, 3650, 2016, 2741, 1601, 1528, 3430, 2456, 299, 1176, 2451, 3931, 2463, 3255, 903, 3893, 1623};
ars[15] = {4663, 3366, 4455, 4279, 2271, 2469, 4854, 3025, 3299, 2522, 504, 1405, 2361, 3104, 601, 4700, 807, 2932, 4280, 2520, 100, 2275, 4353, 3509, 4199, 2620, 3992, 3077, 3220, 1596, 1553, 1118, 1937, 759, 671, 316, 1858, 2951, 182, 2515, 2834, 3135, 3590, 3334, 1365, 4214, 588, 1947, 4206, 2429, 2516, 225, 4895, 1187, 4984, 55, 4217, 1501, 3443, 3442, 4870, 520, 3438, 398, 939, 2626, 4818, 473, 1138, 2004, 2358, 3789, 1149, 3492, 899, 1263, 592, 788, 3945, 3975, 209, 399, 1912, 1067, 875, 4839, 1557, 4117, 2065, 135, 130, 4623, 3574, 27, 2050, 189, 458, 3001, 1662, 3769, 4510, 2394, 711, 22, 1613, 3682, 981, 2149, 4378, 4945, 3219, 1283, 1516, 2207, 882, 1334, 2710, 755, 684, 2023, 930, 1296, 1493, 324, 1590, 3251, 917, 2703, 4232, 1973, 775, 4514, 4178, 2504, 4550, 4786, 4229, 4345, 4997, 4259, 1831, 2349, 4991, 1297, 2419, 197, 1759, 1970, 581, 2524, 2937, 3671, 2915, 1583, 400, 4228, 5, 799, 172, 1024, 4382, 1666, 2490, 4165, 2697, 1729, 1339, 1775, 2009, 3620, 3160, 3043, 367, 3785, 4446, 1997, 4916, 464, 4529, 761, 1124, 1941, 3353, 1165, 3591, 1781, 4450, 3345, 125, 266, 3416, 4908, 2581, 4364, 1811, 2870, 1438, 3394, 2525, 805};
ars[16] = {894, 4084, 2988, 2212, 2323, 4731, 4640, 3925, 3634, 4858, 3699, 3522, 1635, 3844, 1162, 3046, 220, 2759, 4800, 1077, 2335, 1539, 350, 705, 1152, 1358, 4650, 1554, 3884, 3059, 2261, 1763, 4135, 933, 1415, 3523, 3192, 4481, 1098, 3637, 218, 3723, 4433, 4172, 3246, 4591, 4103, 1983, 559, 1078, 2478, 4142, 4150, 4157, 1789, 1039, 1574, 3921, 1903, 3618, 4756, 2650, 1665, 4429, 1570, 3977, 1753, 2025, 2452, 3746, 1214, 1857, 4021, 1873, 1070, 374, 2213, 50, 3427, 1057, 1221, 3748, 4911, 1990, 4632, 1725, 809, 4469, 1508, 4086, 2379, 3853, 4060, 3128, 1663, 4815, 1852, 4061, 45, 556, 4050, 3973, 3712, 1808, 3499, 3479, 3780, 1384, 66, 2740, 1432, 756, 3936, 3461, 435, 333, 2685, 4802, 1701, 1352, 1132, 4073, 323, 4138, 3700, 1710, 561, 2934, 1713, 4604, 4260, 140, 1505, 3355, 2235, 3843, 2845, 817, 2874, 753, 4203, 317, 3354, 1114, 2242, 281, 4020, 4924, 1844, 3687, 3710, 947, 3541, 3683, 4687, 1922, 438, 3013, 4532, 3239, 4850, 426, 3501, 1734, 3358, 3292, 2435, 2338, 1019, 327, 2483, 490, 3312, 2538, 2086, 3864, 994, 1537, 1620, 3240, 502, 3092, 3156, 591, 4, 46, 1605, 1189, 2738, 461, 2072, 4968, 2257, 3626, 4568, 3540, 884, 4849, 3718, 1762};
ars[17] = {4787, 1721, 2975, 422, 2551, 2901, 4226, 3916, 4139, 128, 4982, 2660, 4089, 1715, 3388, 4314, 2765, 741, 3267, 1301, 1361, 231, 1951, 2757, 35, 4151, 2003, 3583, 3164, 3946, 3487, 296, 416, 1958, 1577, 895, 1012, 4346, 181, 2756, 562, 2984, 4940, 4665, 900, 3274, 1021, 3260, 1748, 2360, 3190, 4246, 3622, 4951, 739, 4615, 444, 1113, 1004, 4166, 2374, 2729, 2444, 1230, 2890, 4765, 4162, 544, 2601, 3655, 2843, 261, 3218, 4082, 4977, 4426, 787, 4873, 3071, 2572, 968, 1209, 4327, 2589, 715, 4749, 3546, 3755, 2671, 4430, 1768, 4825, 1952, 3850, 4475, 1063, 810, 2352, 3108, 366, 3473, 4063, 1865, 3594, 4590, 2284, 1956, 3331, 2165, 2678, 2911, 1421, 2829, 2726, 1655, 2431, 3734, 1807, 2333, 2922, 3315, 696, 1201, 3642, 2301, 4601, 2362, 961, 4776, 1054, 600, 574, 1656, 1908, 3516, 869, 2357, 60, 1257, 1010, 4275, 1564, 4390, 4212, 3760, 3693, 3390, 3519, 2612, 4922, 551, 4437, 3310, 1659, 1619, 3997, 108, 165, 1310, 2853, 2180, 1914, 3291, 4698, 747, 2510, 2344, 2750, 855, 4042, 2775, 3891, 2424, 3928, 97, 1086, 2578, 290, 1860, 431, 4423, 2743, 4213, 4761, 4294, 1971, 867, 4938, 4617, 151, 3165, 1967, 4667, 215, 1125, 768, 3635, 169, 1641, 3045};
ars[18] = {3500, 3200, 3051, 811, 3879, 1434, 4395, 1770, 4352, 2285, 4778, 1572, 515, 732, 1804, 1511, 706, 4990, 76, 4115, 1285, 4289, 1864, 1394, 1839, 3834, 995, 2789, 1112, 1767, 4896, 3951, 4577, 2542, 4878, 4218, 2040, 1362, 2170, 1703, 1788, 4418, 2111, 4277, 476, 4235, 697, 4573, 3847, 3402, 3953, 3249, 2831, 4335, 4805, 843, 3257, 658, 278, 1445, 4743, 2964, 3362, 4564, 950, 4347, 831, 3736, 3436, 291, 3790, 2642, 2508, 1918, 757, 2081, 3153, 1555, 4972, 4861, 3900, 4341, 2491, 1423, 388, 537, 1402, 4639, 631, 861, 1569, 2565, 4404, 2948, 4846, 1848, 3302, 18, 2770, 2778, 2269, 387, 2938, 4227, 1567, 2971, 3440, 1588, 3324, 1889, 1259, 356, 2800, 4182, 3601, 1994, 1711, 4978, 2653, 3018, 1055, 2790, 382, 3010, 2022, 3351, 4781, 3341, 2533, 1726, 2438, 4563, 4885, 2325, 2015, 2085, 3855, 1290, 3656, 318, 336, 2574, 219, 249, 2580, 3215, 77, 1180, 2836, 1408, 2319, 4051, 907, 708, 3963, 2950, 902, 4726, 1680, 4225, 2506, 611, 1959, 3679, 1702, 4388, 1368, 3816, 1093, 37, 3275, 3286, 3464, 2192, 1202, 2569, 4479, 2251, 2436, 1116, 1278, 53, 4041, 4053, 798, 3406, 997, 2001, 1073, 3349, 718, 4392, 2814, 113, 4587, 1006, 3896, 487, 4298, 3193};
ars[19] = {2252, 2209, 929, 3959, 936, 2143, 571, 4164, 2182, 404, 3429, 4493, 3788, 928, 2406, 4704, 2070, 3047, 868, 661, 2163, 4697, 4614, 4852, 1244, 158, 719, 500, 2521, 3174, 3799, 2628, 4460, 4413, 590, 2618, 779, 4488, 889, 2280, 1960, 1265, 985, 577, 4545, 2876, 3514, 3398, 3758, 136, 4079, 3455, 1722, 4336, 357, 4709, 1156, 582, 2848, 714, 3607, 938, 41, 3107, 830, 2676, 4154, 3597, 3212, 4586, 2484, 3022, 2866, 2794, 4798, 3536, 3289, 4630, 3338, 4462, 1174, 2983, 1433, 4834, 354, 1586, 3431, 1744, 526, 75, 4491, 664, 1915, 198, 2421, 4208, 1920, 2222, 2582, 3159, 1157, 4939, 3365, 4242, 2832, 1829, 1902, 2606, 3553, 3273, 3806, 2317, 3052, 448, 932, 304, 1030, 2151, 1011, 4180, 507, 33, 2854, 532, 4263, 360, 3829, 405, 2262, 2263, 726, 2297, 1871, 4758, 1965, 674, 1135, 4893, 563, 4037, 4366, 4355, 4375, 4412, 3544, 4917, 1294, 2602, 812, 1568, 3007, 4465, 4656, 3680, 2619, 2690, 4752, 4862, 4487, 2654, 2943, 4326, 3028, 4799, 263, 2332, 2231, 3621, 3579, 4664, 2561, 4233, 4080, 3661, 657, 1071, 3838, 104, 116, 2359, 3773, 2260, 523, 4822, 3301, 960, 4920, 2038, 870, 2514, 3766, 260, 3037, 3119, 29, 371, 3677, 2825, 1003, 1575};
ars[20] = {803, 3745, 150, 3558, 3330, 286, 402, 1900, 4618, 777, 4088, 2413, 3425, 3961, 4816, 2791, 2477, 292, 1007, 2106, 594, 822, 1454, 496, 3134, 4789, 4868, 2196, 1171, 178, 2298, 4411, 1034, 2990, 4046, 2637, 3809, 4812, 1895, 5000, 604, 222, 4558, 1978, 836, 2017, 3242, 1891, 3213, 623, 3813, 2167, 2625, 621, 4986, 139, 637, 506, 4644, 722, 2108, 2536, 436, 774, 4827, 4859, 2807, 343, 2920, 3641, 919, 3802, 4374, 1776, 1150, 1420, 1579, 3793, 2351, 2960, 4334, 4240, 2529, 1584, 4216, 3359, 738, 152, 660, 3294, 2662, 4248, 734, 3535, 1907, 1044, 503, 2695, 3717, 1349, 534, 4102, 4269, 1170, 666, 4183, 3986, 3702, 3962, 4380, 3252, 4943, 482, 187, 154, 331, 31, 3956, 262, 2747, 4144, 4470, 2199, 1906, 4484, 1705, 1867, 2120, 2966, 501, 1791, 369, 4428, 3172, 1388, 4291, 2686, 2204, 2448, 1217, 1737, 1299, 2356, 2763, 386, 4116, 2751, 3328, 2061, 2827, 2161, 3352, 4832, 858, 3649, 248, 2921, 651, 1022, 284, 923, 2779, 4634, 4134, 1962, 3064, 4045, 358, 1766, 1945, 3063, 695, 3765, 2416, 4506, 1599, 4204, 1604, 3066, 4307, 4389, 3628, 1061, 1909, 737, 4956, 143, 3371, 1595, 4196, 2603, 2882, 1796, 4607, 1774, 2558, 3477, 2309, 3904, 1309};
ars[21] = {216, 2220, 4349, 3662, 4676, 2864, 1224, 1747, 2300, 4963, 4173, 4840, 1383, 1327, 2977, 2191, 2930, 3015, 681, 2459, 897, 429, 1103, 3845, 3937, 3400, 246, 3002, 2709, 3787, 4824, 300, 3832, 177, 112, 39, 4648, 2914, 2194, 101, 3949, 3584, 365, 1153, 4193, 1798, 3852, 3856, 2058, 4779, 91, 4201, 1228, 1946, 3266, 3099, 1708, 931, 4316, 3179, 3032, 4612, 823, 3823, 4130, 4195, 1110, 2486, 280, 65, 1277, 3800, 4441, 1267, 2903, 573, 3253, 3337, 440, 488, 11, 2099, 1051, 2386, 2407, 2339, 208, 2077, 2752, 2331, 115, 890, 2634, 3382, 4530, 2664, 4727, 1194, 553, 123, 238, 1199, 4155, 2537, 2746, 332, 513, 927, 2343, 1510, 4965, 3899, 691, 4857, 3209, 4745, 2884, 3870, 2441, 1821, 2754, 692, 4826, 2389, 4681, 2641, 424, 550, 1264, 2190, 2503, 2939, 3704, 864, 1849, 2390, 2291, 2608, 4774, 4109, 3548, 363, 1424, 1629, 4582, 1610, 4735, 4168, 1496, 4808, 4300, 2535, 4904, 4552, 3678, 3645, 4174, 815, 1630, 4794, 17, 449, 676, 4807, 2037, 1752, 2096, 4443, 1250, 4101, 4255, 3114, 4253, 3743, 3016, 4372, 3404, 4304, 3866, 2682, 3339, 1139, 455, 4219, 4559, 3478, 3112, 3170, 731, 4539, 1803, 3598, 2559, 1550, 3069, 4072, 3568, 4821, 221, 2691};
ars[22] = {4642, 3079, 2458, 3754, 4158, 4007, 2771, 2788, 146, 4610, 1522, 2306, 4738, 1698, 2079, 78, 3265, 619, 3458, 1255, 3237, 1312, 2839, 4075, 1657, 1904, 816, 4064, 2560, 844, 2813, 3485, 824, 2611, 2897, 370, 886, 2396, 4272, 2896, 4394, 1594, 3495, 463, 1045, 1558, 3559, 3210, 2720, 1341, 256, 161, 1727, 1930, 3987, 2146, 84, 2148, 2412, 1792, 712, 2865, 3972, 866, 1080, 4627, 3824, 1643, 3551, 3504, 419, 3660, 2230, 2117, 2570, 122, 846, 3666, 1053, 229, 892, 1148, 1524, 4581, 3488, 1079, 265, 3871, 2587, 2405, 309, 3983, 3848, 4416, 1343, 2279, 2288, 4169, 3860, 4522, 1359, 3307, 1470, 4970, 1159, 3457, 1677, 4792, 3023, 1472, 4915, 2127, 4946, 3603, 277, 3221, 2200, 4588, 1008, 3901, 2527, 245, 1548, 2316, 274, 308, 4245, 813, 1111, 4669, 2372, 2388, 4844, 1104, 1491, 1966, 2326, 2049, 3560, 3377, 1141, 982, 912, 1654, 2411, 2803, 4699, 512, 4205, 624, 328, 2961, 3000, 4342, 4348, 493, 2733, 1436, 4689, 486, 2296, 1392, 3938, 555, 1589, 297, 538, 3374, 3999, 3570, 99, 2912, 3297, 2334, 4497, 4297, 2428, 2479, 3197, 1939, 4421, 4737, 339, 2299, 1076, 2511, 4934, 4629, 2008, 2103, 883, 4220, 4881, 2224, 3155, 58, 3459, 1822, 3378, 2623};
ars[23] = {908, 255, 893, 891, 2314, 4518, 19, 583, 2586, 1835, 174, 498, 313, 4608, 1976, 4385, 1313, 3121, 2462, 2856, 521, 852, 4112, 3840, 2822, 2430, 683, 1631, 814, 303, 2900, 4062, 3619, 1964, 4710, 1292, 2872, 3719, 3370, 4635, 3805, 2760, 4659, 3030, 3235, 3615, 2673, 4377, 1957, 4287, 2184, 3407, 1163, 4339, 4851, 3445, 3605, 2801, 2622, 1360, 1826, 3227, 414, 206, 2991, 1295, 251, 740, 4572, 3401, 2995, 3890, 2753, 4547, 1325, 456, 4267, 2030, 2318, 1761, 2716, 1608, 1533, 4633, 1647, 4036, 516, 4995, 2082, 2063, 3875, 3581, 3892, 1457, 1991, 599, 4501, 2772, 4362, 987, 2164, 1069, 1782, 3245, 2979, 920, 3821, 4209, 3435, 2905, 3115, 1801, 1173, 320, 940, 2705, 2909, 1060, 2427, 4004, 2487, 2556, 1581, 3863, 1050, 373, 98, 4078, 1995, 3791, 1618, 2573, 680, 1356, 3368, 3295, 4569, 2304, 1289, 4415, 510, 1488, 1208, 2904, 4373, 762, 898, 2042, 3767, 3124, 3344, 2861, 1723, 514, 3981, 3036, 3014, 454, 3638, 1949, 480, 654, 2051, 865, 4641, 2197, 4541, 2152, 609, 3917, 3280, 3533, 1636, 2378, 4966, 991, 1398, 2470, 1929, 1097, 48, 406, 4567, 1091, 282, 4967, 1205, 4023, 3545, 3686, 1515, 1847, 4265, 2784, 4589, 63, 2097, 904, 4340, 668};
ars[24] = {707, 73, 4929, 3534, 4647, 2944, 4932, 1819, 3895, 2962, 4403, 124, 1340, 3471, 4408, 349, 2998, 2941, 385, 2245, 1861, 2517, 4884, 1875, 3737, 2315, 4736, 2155, 4100, 417, 773, 279, 748, 1348, 3369, 1876, 138, 1769, 3508, 4890, 2223, 4081, 164, 2852, 4793, 2616, 2584, 3858, 2039, 3943, 1204, 4083, 3774, 1834, 772, 4006, 4760, 3653, 1901, 2125, 4490, 1005, 1243, 4755, 3410, 2066, 785, 2115, 3364, 2993, 3403, 1451, 4049, 2639, 802, 3830, 4899, 4188, 1099, 4009, 690, 3386, 70, 4069, 509, 64, 51, 1981, 4071, 641, 4052, 4113, 3140, 2047, 1026, 3474, 2154, 539, 911, 2633, 2282, 2098, 558, 1838, 4024, 2663, 1670, 2208, 2761, 4638, 2981, 3061, 47, 2886, 2732, 1225, 1275, 1196, 1317, 4979, 1898, 545, 437, 2711, 1640, 713, 784, 28, 1777, 1549, 36, 720, 743, 4401, 3727, 144, 392, 4958, 3599, 2474, 1444, 1389, 205, 4863, 4626, 4767, 1314, 1271, 273, 3903, 4538, 109, 3139, 3281, 4496, 3271, 675, 69, 3449, 3056, 1272, 4898, 3674, 3125, 2258, 4686, 915, 3171, 4683, 4476, 1690, 3143, 1985, 1188, 2321, 423, 2758, 1578, 2976, 646, 1197, 1419, 3340, 4651, 3241, 364, 4338, 3882, 3915, 167, 3757, 709, 471, 2403, 4445, 3596, 1193, 3189};
}
vector<pair<int,int>> Alice() {
init();
int n = 5000;
ll x = setN(n);
vector<pair<int, int>> edges;
edges.push_back({1, 2});
for (int currSet = 0; currSet < 25; currSet++) {
int needSend = (x >> currSet) & 1;
for (auto x: ars[currSet]) {
edges.push_back({needSend + 1, x});
}
}
return edges;
}
#include <bits/stdc++.h>
#include "Bob.h"
using namespace std;
#define ll long long
vector<vector<int>> ars(25);
void init() {
ars[0] = {1779, 3520, 3644, 1859, 4955, 4806, 1106, 413, 4458, 3976, 3250, 879, 1646, 1681, 4621, 782, 90, 23, 4757, 314, 4523, 258, 52, 1840, 3543, 4678, 346, 3091, 3808, 1621, 4905, 2183, 4489, 1823, 4959, 1868, 4828, 3980, 4357, 2447, 2665, 86, 390, 1331, 1980, 342, 1499, 4092, 1144, 3556, 1797, 2281, 3433, 4616, 1427, 2293, 3208, 3862, 3225, 2518, 3982, 1253, 3100, 4044, 3494, 3998, 2744, 4548, 3878, 378, 1036, 2168, 1085, 3505, 4459, 2320, 3476, 3447, 1029, 4701, 935, 2811, 632, 4153, 4882, 4600, 2782, 3930, 3234, 4930, 20, 1854, 3385, 3472, 3902, 1841, 4119, 145, 4751, 4645, 4068, 1351, 3742, 1346, 2563, 2725, 306, 1866, 1977, 451, 1535, 3874, 860, 1206, 2029, 129, 2787, 4129, 3465, 3446, 2399, 92, 579, 3326, 4237, 1169, 1458, 603, 4271, 1562, 2173, 184, 107, 4251, 1735, 4754, 767, 394, 1739, 778, 2473, 4111, 3988, 1287, 1582, 1682, 862, 3632, 533, 4025, 1944, 1100, 119, 4252, 2342, 3019, 2649, 2074, 3552, 662, 1833, 3012, 1239, 3008, 2043, 2785, 3507, 2005, 4243, 3021, 4407, 979, 3110, 2018, 4425, 3285, 4387, 4383, 1175, 1401, 1771, 2699, 2907, 4286, 214, 3, 2898, 874, 4473, 1223, 2745, 3669, 1874, 3065, 3169, 2774, 4680, 3158, 3149, 3969};
ars[1] = {1625, 1031, 3714, 1507, 3738, 3168, 2638, 535, 188, 2528, 1083, 1502, 4202, 1059, 383, 3086, 546, 4672, 635, 1319, 185, 531, 4717, 3518, 3256, 244, 34, 302, 4452, 698, 648, 2723, 4221, 2289, 4926, 2031, 3247, 1374, 3191, 2404, 3082, 2796, 4261, 2945, 4842, 2985, 1927, 3517, 4190, 3502, 2124, 468, 4949, 998, 3320, 580, 170, 4035, 1382, 1602, 1407, 4762, 4957, 3238, 2218, 3356, 735, 2476, 4104, 3825, 887, 2311, 3113, 3994, 1219, 2727, 3026, 428, 2953, 4448, 4981, 2946, 541, 4540, 4409, 3586, 3087, 3150, 888, 2392, 4029, 1046, 3041, 3907, 2221, 3180, 4143, 3384, 460, 4498, 4030, 2992, 4152, 626, 3725, 790, 227, 2219, 2826, 2499, 121, 1464, 3989, 754, 4784, 2454, 159, 4831, 173, 4211, 4107, 2954, 3136, 2812, 1081, 4091, 1478, 1123, 1241, 4505, 3919, 1131, 3389, 2136, 795, 2706, 1940, 224, 2696, 2225, 4723, 3053, 1200, 3724, 80, 1183, 3395, 2730, 3470, 1738, 409, 4820, 2088, 3835, 396, 2272, 4902, 4856, 96, 959, 4999, 89, 4732, 2234, 1345, 4014, 2367, 2256, 1177, 3929, 4017, 2541, 4740, 828, 4809, 529, 901, 4575, 3697, 4975, 4526, 4829, 57, 4093, 4039, 3807, 179, 3550, 1979, 4923, 3027, 4282, 4813, 236, 1245, 1724, 4127, 2091, 1756, 3269};
ars[2] = {4598, 2887, 334, 4123, 1403, 1652, 4405, 3818, 2994, 796, 3321, 4609, 4960, 4449, 4903, 294, 2646, 3089, 2205, 3276, 4343, 3912, 2718, 1068, 839, 3529, 2147, 625, 384, 751, 3187, 3004, 3183, 4002, 4879, 4001, 859, 4985, 4722, 973, 4179, 1363, 3631, 2119, 1009, 4718, 905, 1651, 2480, 3589, 602, 1743, 3463, 3625, 213, 2871, 2287, 180, 4578, 4585, 2138, 4185, 801, 2873, 2908, 259, 942, 3636, 999, 270, 3196, 2956, 794, 1552, 2632, 2624, 835, 2277, 1658, 2767, 141, 1087, 1933, 642, 1495, 4782, 613, 4189, 4983, 1800, 2075, 1222, 321, 3831, 3764, 2830, 2055, 1216, 3569, 2226, 4367, 418, 4486, 3413, 3762, 3512, 4773, 2494, 3927, 427, 1397, 2835, 3090, 4322, 1198, 585, 335, 1207, 530, 88, 2926, 3609, 2721, 2348, 974, 1668, 4987, 2590, 4065, 1252, 376, 2568, 232, 2350, 4200, 4769, 969, 3575, 1688, 2409, 3050, 3040, 4519, 3054, 3539, 2875, 1417, 434, 3412, 4257, 1120, 1142, 4016, 1984, 3537, 3101, 2236, 2862, 1364, 2596, 1820, 909, 1626, 1129, 272, 4087, 4456, 4054, 1466, 2134, 2415, 4095, 2341, 2157, 2550, 2045, 689, 1851, 3692, 4019, 1600, 3521, 4321, 986, 2286, 2481, 3325, 1676, 2534, 4516, 4365, 3486, 2531, 4290, 3557, 233, 4351, 948, 283, 4384};
ars[3] = {3984, 3797, 1286, 2283, 3811, 2755, 2492, 1890, 295, 2600, 2855, 4398, 3131, 2627, 2694, 4120, 4836, 4121, 618, 1396, 24, 750, 3154, 2336, 4579, 1560, 4438, 3911, 3749, 329, 1503, 3454, 1218, 4907, 1393, 4057, 2588, 2877, 192, 3203, 3332, 2368, 4090, 2766, 2046, 710, 4693, 1853, 3933, 2328, 2851, 4766, 1717, 3828, 1484, 3491, 4431, 3020, 4122, 2467, 3469, 2906, 1032, 4771, 1700, 776, 1372, 2595, 2816, 2786, 1925, 2885, 3614, 3740, 3651, 1353, 3756, 700, 2704, 1509, 808, 4170, 4468, 1751, 1969, 1760, 568, 1862, 3409, 4688, 326, 833, 3223, 3667, 1096, 4110, 2073, 2849, 3672, 766, 2276, 2160, 3230, 4925, 2020, 1982, 1178, 2583, 3720, 1441, 4961, 765, 2497, 1440, 2547, 4000, 2959, 3058, 4098, 4511, 4666, 3318, 3184, 3616, 3031, 1526, 1369, 4194, 1354, 2188, 4420, 4602, 1203, 3776, 1543, 820, 271, 3801, 2496, 1916, 2185, 4603, 1318, 3437, 3564, 4964, 4350, 4133, 1809, 264, 2860, 3673, 389, 4186, 560, 4114, 1563, 289, 3654, 2591, 2815, 2810, 3282, 3205, 1015, 4543, 3117, 483, 975, 2793, 13, 1355, 2798, 1498, 3188, 1598, 1765, 667, 3072, 2857, 4631, 2118, 2844, 4466, 2675, 1413, 4534, 3565, 2973, 3580, 3647, 4583, 962, 1935, 4719, 2809, 1326, 2867, 2238, 157};
ars[4] = {1520, 1140, 38, 439, 3648, 2838, 4668, 3905, 3185, 2113, 4998, 2249, 699, 59, 337, 3751, 1298, 432, 3489, 3084, 647, 2643, 3532, 570, 2176, 4191, 298, 2776, 4015, 7, 1260, 2241, 4819, 3729, 4715, 168, 1284, 54, 1425, 3939, 4914, 1614, 565, 1089, 4503, 4056, 2500, 2594, 640, 630, 2731, 2795, 1167, 3837, 2949, 4711, 2935, 4622, 2947, 155, 1220, 3761, 3555, 3085, 3708, 3380, 4594, 1049, 3643, 2162, 3288, 4268, 2942, 2345, 3588, 42, 4494, 1482, 3309, 4780, 3420, 4653, 134, 2083, 1512, 1731, 475, 1968, 1881, 4031, 4848, 628, 4254, 3630, 4684, 3613, 2268, 3815, 1442, 2929, 2880, 1293, 3561, 2808, 1633, 716, 3525, 1624, 2366, 2142, 992, 3602, 3585, 1883, 1830, 72, 120, 951, 2617, 1041, 1233, 921, 3350, 223, 3434, 3778, 1385, 1692, 4356, 1712, 1344, 3610, 4436, 1514, 4525, 110, 491, 1485, 4830, 1186, 2247, 3049, 3513, 1058, 3460, 4273, 1885, 1961, 1742, 4790, 4742, 1607, 1487, 2273, 4369, 1888, 1446, 791, 3526, 3707, 4467, 2036, 1213, 4860, 3120, 338, 2384, 4464, 2166, 806, 3652, 1720, 4962, 3044, 4928, 2267, 1506, 4562, 1040, 3137, 2052, 2978, 1634, 1017, 3741, 1105, 4222, 4606, 268, 4509, 3243, 2364, 2883, 3278, 2768, 3633, 3803, 4324, 481, 1846};
ars[5] = {2777, 4258, 1728, 397, 552, 3057, 2526, 4933, 4845, 4393, 2780, 62, 4097, 1115, 1279, 171, 4777, 2439, 2833, 467, 447, 2466, 4556, 3991, 3833, 1954, 4461, 3009, 977, 1002, 395, 2728, 2739, 1585, 4714, 4992, 495, 1879, 412, 3006, 1793, 4444, 2292, 4574, 1716, 2996, 972, 301, 967, 2028, 3889, 3152, 1919, 3145, 1538, 3261, 800, 3419, 3595, 956, 1513, 2544, 1315, 3490, 2132, 910, 943, 793, 3111, 3822, 1430, 1785, 1606, 4791, 4247, 2940, 1282, 978, 3498, 848, 4181, 4570, 2410, 79, 4913, 4145, 1332, 3873, 1593, 4888, 1611, 1377, 4011, 752, 4331, 2123, 340, 1628, 572, 847, 3639, 980, 3076, 2933, 1999, 275, 4293, 745, 3194, 3226, 1650, 944, 2554, 3786, 183, 4729, 1773, 319, 4156, 1667, 1447, 2100, 3248, 4215, 3244, 3810, 2714, 2680, 3075, 3883, 1664, 1145, 3657, 3195, 478, 4788, 4379, 3102, 2060, 1192, 3880, 1366, 1380, 391, 166, 257, 430, 2980, 1181, 669, 1531, 4611, 1048, 3268, 3259, 3849, 2145, 4875, 4058, 4391, 4971, 4320, 3885, 3231, 1924, 2457, 769, 2032, 617, 1683, 1490, 1740, 2239, 3204, 228, 4716, 2736, 1812, 914, 4472, 1195, 2056, 4161, 1158, 4361, 1418, 3408, 3658, 1469, 3367, 176, 2495, 2575, 4553, 1379, 43, 2485, 242, 353, 989};
ars[6] = {1101, 3713, 4197, 2266, 527, 850, 729, 1551, 1161, 1695, 4953, 2382, 1943, 1923, 2828, 4360, 2041, 1679, 1357, 2689, 2652, 1254, 2968, 608, 142, 3854, 497, 1580, 1084, 1133, 3335, 3146, 250, 2053, 587, 3947, 946, 2577, 1627, 1609, 1047, 3857, 1342, 3232, 786, 941, 1322, 3970, 916, 607, 3109, 3894, 4070, 4400, 3922, 614, 1597, 2303, 4517, 3910, 4919, 1780, 1381, 3270, 1928, 1530, 1527, 3566, 2453, 3151, 2820, 3284, 853, 411, 307, 876, 673, 4136, 2592, 253, 2414, 21, 2329, 445, 4565, 2442, 760, 988, 4283, 3381, 1321, 1303, 2363, 2889, 2593, 4198, 1461, 2084, 375, 330, 3005, 2958, 4160, 2498, 4996, 3759, 736, 1268, 548, 1280, 3887, 3792, 996, 114, 832, 457, 1639, 2187, 1276, 1090, 2891, 235, 1428, 2913, 2019, 2035, 117, 4555, 3300, 1694, 837, 1615, 1686, 1911, 1544, 4696, 2677, 1367, 2214, 4906, 1993, 4674, 2635, 415, 4192, 3186, 3283, 3024, 195, 1899, 4843, 2259, 4619, 4770, 4303, 3103, 1934, 4835, 1274, 4027, 2093, 4628, 4864, 518, 3123, 2177, 4003, 1972, 4560, 4969, 2010, 2967, 4447, 4744, 3039, 1541, 2702, 4595, 1237, 470, 1151, 1869, 2265, 4295, 1882, 4477, 1410, 312, 2648, 1674, 193, 1992, 3303, 111, 4106, 3731, 616, 2215, 2599, 3138};
ars[7] = {3733, 3038, 4359, 1910, 704, 2135, 2840, 1477, 2636, 4453, 584, 1247, 4730, 4597, 1836, 1948, 2597, 1673, 4993, 4141, 2764, 1483, 3432, 4533, 1481, 2924, 4673, 4713, 2150, 4074, 4655, 1121, 322, 4592, 730, 3258, 4994, 201, 3781, 2850, 2395, 4944, 1642, 2564, 871, 1494, 4386, 3747, 1328, 3966, 3357, 3934, 2549, 4912, 1306, 1893, 4973, 3795, 1001, 749, 1262, 4876, 2737, 4521, 2858, 1072, 1556, 2243, 3074, 3182, 4371, 4125, 2955, 1013, 3563, 2614, 2997, 2859, 2783, 612, 4948, 1406, 934, 3826, 783, 4238, 593, 937, 1827, 4694, 2970, 1235, 3373, 3073, 147, 3217, 472, 4524, 3327, 4838, 2658, 878, 2237, 3453, 2312, 3798, 1375, 1476, 1815, 3771, 1917, 3676, 393, 1996, 2129, 133, 1653, 234, 3279, 1870, 4504, 1473, 2567, 3689, 1783, 3547, 3387, 362, 2229, 1784, 1075, 2169, 2114, 3081, 3886, 2598, 685, 3604, 4847, 25, 4422, 1025, 3313, 2340, 1565, 3391, 4554, 723, 575, 1921, 818, 4402, 2417, 3029, 4022, 372, 4296, 3979, 4223, 2398, 1288, 4502, 3441, 3444, 3229, 1160, 126, 2719, 3482, 3397, 4406, 2011, 4302, 3950, 2965, 2553, 2465, 3974, 841, 2545, 3567, 3322, 1504, 4544, 2986, 2232, 3695, 2158, 2193, 2133, 2605, 1936, 4661, 4059, 4105, 3396, 2203, 615, 4414, 2059};
ars[8] = {3070, 1236, 744, 1845, 3794, 3060, 1750, 4921, 2613, 2557, 3118, 210, 2437, 3080, 4883, 2910, 856, 2244, 4759, 3452, 1660, 484, 2540, 727, 2472, 2422, 1443, 81, 3333, 2202, 4785, 2683, 1685, 4457, 239, 2400, 2546, 3363, 4224, 4980, 4055, 3775, 1431, 4028, 2645, 4399, 2712, 4542, 2387, 3812, 1337, 4823, 2128, 2440, 827, 4108, 1126, 2308, 4712, 3042, 3617, 1790, 4234, 4313, 1817, 2330, 4047, 566, 2024, 2742, 407, 3392, 1892, 4599, 1741, 547, 1855, 3587, 2722, 3093, 1146, 3095, 885, 665, 2141, 4670, 4124, 2881, 1825, 16, 1035, 4803, 1637, 207, 3214, 4837, 771, 2824, 2974, 4264, 2769, 212, 4507, 1119, 1320, 3017, 3941, 1251, 1880, 2892, 1249, 2369, 3663, 1974, 1191, 2797, 629, 2918, 2264, 1886, 3167, 226, 2489, 620, 3181, 1258, 325, 3819, 2488, 3144, 1963, 1023, 217, 305, 2982, 3105, 4319, 1529, 466, 4435, 4796, 3264, 2539, 1571, 4515, 2186, 3744, 2021, 1043, 1764, 1542, 3003, 3262, 1707, 4814, 1127, 2033, 1704, 1603, 3623, 3062, 1837, 2455, 3629, 3715, 2555, 2013, 345, 3730, 1117, 1462, 952, 4649, 4043, 3376, 1409, 4410, 4677, 1422, 3739, 3592, 1416, 2806, 3909, 4772, 3222, 247, 2007, 3861, 4596, 4236, 4140, 1168, 441, 1612, 3578, 717, 2507, 1693, 4855};
ars[9] = {926, 1592, 3316, 557, 2048, 4936, 1226, 4131, 2629, 2274, 4900, 4483, 4708, 380, 913, 1330, 3706, 4720, 6, 653, 3531, 1449, 3423, 1675, 554, 2450, 2666, 1400, 4278, 4662, 1649, 3709, 1016, 2927, 945, 3466, 1291, 984, 2076, 1746, 293, 896, 425, 1486, 1261, 3456, 469, 1308, 1545, 3055, 4256, 4032, 3497, 2805, 2216, 3428, 1014, 2530, 1378, 1894, 3964, 4866, 2402, 4231, 1573, 4942, 1324, 420, 4276, 1500, 2846, 3923, 1373, 1587, 200, 1386, 2661, 1806, 2916, 2707, 589, 3129, 2543, 3177, 2370, 2324, 873, 127, 3211, 453, 1435, 3796, 780, 2002, 990, 311, 4690, 1824, 1238, 2397, 2418, 3752, 1229, 3305, 3228, 67, 361, 1850, 1376, 4241, 742, 4163, 1166, 3869, 4281, 1471, 4889, 3898, 2346, 3965, 2936, 1450, 4624, 819, 4463, 2217, 442, 3611, 3827, 3132, 3484, 1561, 4288, 821, 1536, 4705, 834, 4937, 2668, 701, 3130, 2532, 3122, 3530, 204, 763, 1998, 3011, 3820, 4989, 4874, 3675, 4620, 3347, 1412, 677, 4746, 3342, 2735, 964, 4147, 4067, 4508, 1648, 2888, 1489, 4561, 3293, 2305, 3582, 285, 3841, 4520, 4148, 2057, 2571, 3216, 2110, 132, 1399, 605, 196, 3918, 1786, 2823, 450, 2817, 1311, 2198, 4284, 3166, 2576, 3506, 3311, 2688, 3405, 94, 595, 918, 494};
ars[10] = {2423, 1887, 3593, 1426, 3906, 1718, 4274, 2087, 627, 2972, 3233, 2471, 2175, 4013, 2640, 190, 829, 4660, 2171, 4118, 4381, 4886, 3868, 549, 3148, 1300, 2290, 2802, 2393, 3851, 4085, 2644, 82, 3236, 4397, 2863, 2159, 3097, 3157, 838, 3944, 1109, 377, 3612, 4311, 2443, 3450, 2307, 672, 1547, 3426, 3178, 1678, 3399, 1913, 2137, 4308, 2615, 3924, 1018, 598, 3308, 2762, 2201, 1517, 408, 650, 4451, 1699, 3414, 1884, 3881, 2294, 2144, 4566, 4270, 3784, 3323, 202, 872, 4299, 4695, 4892, 3688, 1905, 1147, 2310, 3958, 3920, 3147, 4536, 4187, 3116, 1456, 3048, 1988, 2482, 4424, 1950, 764, 4285, 4576, 1671, 401, 118, 2195, 1534, 3379, 3948, 2837, 703, 4442, 2925, 1404, 965, 792, 3475, 3411, 3127, 4841, 1872, 2445, 954, 877, 4333, 4076, 2080, 4580, 4500, 3383, 2116, 634, 511, 2210, 3417, 4012, 3422, 3600, 2449, 1778, 2468, 2475, 4675, 4549, 4954, 30, 2715, 2322, 4546, 2700, 3162, 4137, 2240, 3952, 474, 4244, 341, 3935, 3624, 1669, 3372, 1211, 243, 517, 3914, 2179, 1794, 3296, 4747, 3716, 102, 3705, 1518, 3496, 670, 3462, 2969, 4682, 1938, 3772, 1134, 1638, 2931, 4474, 2630, 4230, 4128, 3480, 949, 4658, 1154, 4033, 3726, 1437, 3510, 3779, 3836, 1749, 649, 4495};
ars[11] = {4126, 3690, 4146, 1955, 993, 26, 4557, 2139, 4853, 2095, 4312, 1805, 4309, 3681, 1190, 2819, 2253, 3078, 1336, 2375, 1546, 2566, 2987, 4783, 4337, 2355, 925, 963, 3846, 452, 924, 1576, 2211, 2227, 1816, 1092, 2656, 1256, 1455, 3493, 4040, 4625, 1559, 1184, 2923, 1448, 725, 4833, 633, 966, 2999, 4239, 3703, 4018, 4305, 4317, 2579, 1094, 1215, 1459, 1172, 4880, 4008, 288, 2773, 1732, 4329, 2672, 1897, 983, 3942, 2609, 3783, 4733, 1497, 2919, 199, 4721, 4734, 1475, 536, 1082, 1065, 4643, 3314, 421, 2651, 1832, 4810, 85, 721, 733, 2064, 2432, 240, 1302, 3198, 4434, 1799, 4537, 3528, 3842, 3538, 4512, 355, 840, 194, 1350, 679, 3711, 2089, 3985, 2408, 433, 3360, 3670, 586, 359, 2899, 1122, 1953, 87, 3317, 2365, 2957, 4724, 3967, 1452, 3319, 3224, 4250, 1474, 347, 56, 1842, 663, 3913, 4804, 3763, 1411, 3142, 3206, 3448, 1248, 10, 1460, 4176, 4637, 789, 4535, 1709, 3839, 4454, 1395, 1689, 3126, 3277, 2327, 2034, 2381, 2781, 564, 3106, 2460, 1523, 3817, 1931, 4368, 1672, 2044, 1347, 3068, 4177, 4613, 1246, 3524, 4988, 804, 645, 525, 4748, 4167, 4171, 2250, 269, 3990, 2078, 655, 3698, 2748, 688, 2371, 2121, 3562, 2006, 499, 3691, 3554, 567, 2302};
ars[12] = {4947, 4499, 2847, 2799, 2659, 4901, 2420, 4077, 4739, 3572, 2107, 4328, 1323, 1232, 4370, 4310, 1052, 3859, 3175, 191, 14, 1270, 1102, 105, 758, 381, 3867, 137, 3306, 4513, 2502, 3993, 1932, 4159, 770, 4332, 4094, 4775, 1479, 2693, 4872, 103, 3163, 4363, 1066, 2713, 4679, 4636, 3995, 1266, 2687, 2337, 9, 352, 1128, 1020, 2868, 4584, 1316, 643, 1480, 4795, 2878, 4005, 678, 2669, 3664, 1210, 3877, 1645, 3176, 1028, 1042, 652, 1108, 4432, 3685, 4671, 1696, 686, 4492, 1107, 148, 1307, 2313, 957, 3542, 2717, 2655, 1617, 3872, 1492, 3272, 2255, 2585, 2446, 1684, 459, 4605, 479, 1926, 880, 1733, 3721, 3348, 2631, 1242, 4038, 4685, 4571, 160, 3573, 4952, 4344, 2708, 3481, 4096, 4865, 1856, 61, 4753, 1463, 4741, 3735, 4210, 315, 4797, 4292, 2101, 2153, 4646, 4471, 1182, 3468, 644, 4869, 4910, 4358, 863, 1231, 4184, 1329, 2681, 3668, 4897, 2246, 1818, 3199, 2174, 3608, 3753, 2377, 1234, 3576, 3814, 4707, 4527, 1787, 3932, 1754, 4266, 1000, 1414, 276, 462, 3571, 4417, 4728, 1802, 694, 1795, 2804, 1390, 2505, 659, 682, 3960, 3418, 1532, 3646, 854, 3955, 2012, 2842, 2928, 410, 2376, 2552, 2692, 1706, 3173, 2353, 4301, 1757, 4354, 2674, 3329, 1062, 2228, 3694};
ars[13] = {1333, 3393, 746, 2156, 4528, 524, 2094, 4419, 3968, 3777, 4396, 3304, 2493, 2354, 3483, 1755, 2062, 3665, 3290, 230, 1525, 156, 163, 1212, 131, 2026, 3978, 95, 2067, 826, 953, 162, 4887, 2902, 3926, 955, 2749, 71, 4132, 3375, 2667, 186, 2895, 2684, 1038, 1185, 4931, 3067, 252, 2461, 1758, 2092, 1644, 3287, 4702, 2391, 2894, 4768, 1736, 2425, 254, 4482, 68, 3782, 4478, 2206, 485, 2270, 2131, 3346, 4149, 3659, 4918, 1335, 465, 368, 1281, 443, 2621, 4010, 4551, 1429, 1269, 3750, 2105, 922, 606, 4485, 344, 15, 1745, 3421, 153, 3897, 287, 2181, 2512, 1828, 4909, 1155, 446, 728, 2109, 3527, 2347, 540, 2178, 4048, 693, 1896, 906, 1661, 1467, 1878, 1843, 12, 578, 3804, 3957, 597, 2963, 3627, 1143, 4306, 3033, 4811, 4725, 93, 2054, 2172, 4764, 83, 2383, 1975, 1037, 2102, 1691, 49, 1056, 4691, 3954, 2233, 3451, 2792, 4976, 3439, 4871, 2380, 1772, 1877, 542, 4763, 4207, 1064, 4974, 2519, 970, 106, 3133, 3511, 1027, 2657, 1719, 4654, 2647, 3768, 1519, 2841, 267, 636, 2068, 4703, 3888, 2818, 519, 3263, 477, 825, 2140, 1632, 4941, 1863, 32, 2130, 2189, 3577, 4657, 4817, 4439, 3298, 2607, 3549, 241, 508, 2434, 1453, 4249, 1616, 3515, 3161};
ars[14] = {74, 4531, 857, 4315, 3467, 4440, 569, 1989, 1521, 1591, 610, 1179, 1305, 2426, 1942, 4935, 3728, 4325, 4801, 4652, 2917, 543, 3094, 1540, 3083, 2501, 881, 2027, 724, 1088, 492, 781, 211, 3343, 687, 2278, 1465, 2604, 1370, 1714, 849, 3098, 1136, 1622, 3096, 1687, 2989, 622, 505, 3701, 3876, 3865, 3503, 3940, 3684, 8, 596, 3640, 3034, 2373, 4427, 3415, 2610, 2869, 797, 1164, 4877, 2122, 2069, 1810, 237, 1697, 4066, 3035, 971, 1227, 4480, 3722, 976, 4593, 851, 3732, 1987, 1813, 1387, 4026, 4323, 1095, 2248, 4376, 348, 1566, 1074, 3088, 2548, 2821, 2513, 1439, 310, 522, 2464, 203, 2879, 1391, 3996, 4706, 2893, 4950, 2562, 3201, 3696, 2670, 175, 3254, 2401, 1137, 40, 842, 1304, 2295, 2701, 2433, 1338, 2724, 2126, 2679, 3908, 2523, 1814, 845, 1986, 958, 4867, 149, 1273, 576, 4175, 3207, 1468, 3336, 702, 2698, 2385, 4034, 2071, 639, 4891, 2112, 379, 4692, 1033, 4330, 2000, 2090, 403, 2104, 638, 489, 1371, 3606, 2734, 3361, 4750, 2509, 2014, 4099, 3141, 1130, 2952, 3202, 4894, 351, 3971, 44, 2254, 656, 4318, 1730, 1240, 4262, 528, 3424, 3770, 4927, 3650, 2016, 2741, 1601, 1528, 3430, 2456, 299, 1176, 2451, 3931, 2463, 3255, 903, 3893, 1623};
ars[15] = {4663, 3366, 4455, 4279, 2271, 2469, 4854, 3025, 3299, 2522, 504, 1405, 2361, 3104, 601, 4700, 807, 2932, 4280, 2520, 100, 2275, 4353, 3509, 4199, 2620, 3992, 3077, 3220, 1596, 1553, 1118, 1937, 759, 671, 316, 1858, 2951, 182, 2515, 2834, 3135, 3590, 3334, 1365, 4214, 588, 1947, 4206, 2429, 2516, 225, 4895, 1187, 4984, 55, 4217, 1501, 3443, 3442, 4870, 520, 3438, 398, 939, 2626, 4818, 473, 1138, 2004, 2358, 3789, 1149, 3492, 899, 1263, 592, 788, 3945, 3975, 209, 399, 1912, 1067, 875, 4839, 1557, 4117, 2065, 135, 130, 4623, 3574, 27, 2050, 189, 458, 3001, 1662, 3769, 4510, 2394, 711, 22, 1613, 3682, 981, 2149, 4378, 4945, 3219, 1283, 1516, 2207, 882, 1334, 2710, 755, 684, 2023, 930, 1296, 1493, 324, 1590, 3251, 917, 2703, 4232, 1973, 775, 4514, 4178, 2504, 4550, 4786, 4229, 4345, 4997, 4259, 1831, 2349, 4991, 1297, 2419, 197, 1759, 1970, 581, 2524, 2937, 3671, 2915, 1583, 400, 4228, 5, 799, 172, 1024, 4382, 1666, 2490, 4165, 2697, 1729, 1339, 1775, 2009, 3620, 3160, 3043, 367, 3785, 4446, 1997, 4916, 464, 4529, 761, 1124, 1941, 3353, 1165, 3591, 1781, 4450, 3345, 125, 266, 3416, 4908, 2581, 4364, 1811, 2870, 1438, 3394, 2525, 805};
ars[16] = {894, 4084, 2988, 2212, 2323, 4731, 4640, 3925, 3634, 4858, 3699, 3522, 1635, 3844, 1162, 3046, 220, 2759, 4800, 1077, 2335, 1539, 350, 705, 1152, 1358, 4650, 1554, 3884, 3059, 2261, 1763, 4135, 933, 1415, 3523, 3192, 4481, 1098, 3637, 218, 3723, 4433, 4172, 3246, 4591, 4103, 1983, 559, 1078, 2478, 4142, 4150, 4157, 1789, 1039, 1574, 3921, 1903, 3618, 4756, 2650, 1665, 4429, 1570, 3977, 1753, 2025, 2452, 3746, 1214, 1857, 4021, 1873, 1070, 374, 2213, 50, 3427, 1057, 1221, 3748, 4911, 1990, 4632, 1725, 809, 4469, 1508, 4086, 2379, 3853, 4060, 3128, 1663, 4815, 1852, 4061, 45, 556, 4050, 3973, 3712, 1808, 3499, 3479, 3780, 1384, 66, 2740, 1432, 756, 3936, 3461, 435, 333, 2685, 4802, 1701, 1352, 1132, 4073, 323, 4138, 3700, 1710, 561, 2934, 1713, 4604, 4260, 140, 1505, 3355, 2235, 3843, 2845, 817, 2874, 753, 4203, 317, 3354, 1114, 2242, 281, 4020, 4924, 1844, 3687, 3710, 947, 3541, 3683, 4687, 1922, 438, 3013, 4532, 3239, 4850, 426, 3501, 1734, 3358, 3292, 2435, 2338, 1019, 327, 2483, 490, 3312, 2538, 2086, 3864, 994, 1537, 1620, 3240, 502, 3092, 3156, 591, 4, 46, 1605, 1189, 2738, 461, 2072, 4968, 2257, 3626, 4568, 3540, 884, 4849, 3718, 1762};
ars[17] = {4787, 1721, 2975, 422, 2551, 2901, 4226, 3916, 4139, 128, 4982, 2660, 4089, 1715, 3388, 4314, 2765, 741, 3267, 1301, 1361, 231, 1951, 2757, 35, 4151, 2003, 3583, 3164, 3946, 3487, 296, 416, 1958, 1577, 895, 1012, 4346, 181, 2756, 562, 2984, 4940, 4665, 900, 3274, 1021, 3260, 1748, 2360, 3190, 4246, 3622, 4951, 739, 4615, 444, 1113, 1004, 4166, 2374, 2729, 2444, 1230, 2890, 4765, 4162, 544, 2601, 3655, 2843, 261, 3218, 4082, 4977, 4426, 787, 4873, 3071, 2572, 968, 1209, 4327, 2589, 715, 4749, 3546, 3755, 2671, 4430, 1768, 4825, 1952, 3850, 4475, 1063, 810, 2352, 3108, 366, 3473, 4063, 1865, 3594, 4590, 2284, 1956, 3331, 2165, 2678, 2911, 1421, 2829, 2726, 1655, 2431, 3734, 1807, 2333, 2922, 3315, 696, 1201, 3642, 2301, 4601, 2362, 961, 4776, 1054, 600, 574, 1656, 1908, 3516, 869, 2357, 60, 1257, 1010, 4275, 1564, 4390, 4212, 3760, 3693, 3390, 3519, 2612, 4922, 551, 4437, 3310, 1659, 1619, 3997, 108, 165, 1310, 2853, 2180, 1914, 3291, 4698, 747, 2510, 2344, 2750, 855, 4042, 2775, 3891, 2424, 3928, 97, 1086, 2578, 290, 1860, 431, 4423, 2743, 4213, 4761, 4294, 1971, 867, 4938, 4617, 151, 3165, 1967, 4667, 215, 1125, 768, 3635, 169, 1641, 3045};
ars[18] = {3500, 3200, 3051, 811, 3879, 1434, 4395, 1770, 4352, 2285, 4778, 1572, 515, 732, 1804, 1511, 706, 4990, 76, 4115, 1285, 4289, 1864, 1394, 1839, 3834, 995, 2789, 1112, 1767, 4896, 3951, 4577, 2542, 4878, 4218, 2040, 1362, 2170, 1703, 1788, 4418, 2111, 4277, 476, 4235, 697, 4573, 3847, 3402, 3953, 3249, 2831, 4335, 4805, 843, 3257, 658, 278, 1445, 4743, 2964, 3362, 4564, 950, 4347, 831, 3736, 3436, 291, 3790, 2642, 2508, 1918, 757, 2081, 3153, 1555, 4972, 4861, 3900, 4341, 2491, 1423, 388, 537, 1402, 4639, 631, 861, 1569, 2565, 4404, 2948, 4846, 1848, 3302, 18, 2770, 2778, 2269, 387, 2938, 4227, 1567, 2971, 3440, 1588, 3324, 1889, 1259, 356, 2800, 4182, 3601, 1994, 1711, 4978, 2653, 3018, 1055, 2790, 382, 3010, 2022, 3351, 4781, 3341, 2533, 1726, 2438, 4563, 4885, 2325, 2015, 2085, 3855, 1290, 3656, 318, 336, 2574, 219, 249, 2580, 3215, 77, 1180, 2836, 1408, 2319, 4051, 907, 708, 3963, 2950, 902, 4726, 1680, 4225, 2506, 611, 1959, 3679, 1702, 4388, 1368, 3816, 1093, 37, 3275, 3286, 3464, 2192, 1202, 2569, 4479, 2251, 2436, 1116, 1278, 53, 4041, 4053, 798, 3406, 997, 2001, 1073, 3349, 718, 4392, 2814, 113, 4587, 1006, 3896, 487, 4298, 3193};
ars[19] = {2252, 2209, 929, 3959, 936, 2143, 571, 4164, 2182, 404, 3429, 4493, 3788, 928, 2406, 4704, 2070, 3047, 868, 661, 2163, 4697, 4614, 4852, 1244, 158, 719, 500, 2521, 3174, 3799, 2628, 4460, 4413, 590, 2618, 779, 4488, 889, 2280, 1960, 1265, 985, 577, 4545, 2876, 3514, 3398, 3758, 136, 4079, 3455, 1722, 4336, 357, 4709, 1156, 582, 2848, 714, 3607, 938, 41, 3107, 830, 2676, 4154, 3597, 3212, 4586, 2484, 3022, 2866, 2794, 4798, 3536, 3289, 4630, 3338, 4462, 1174, 2983, 1433, 4834, 354, 1586, 3431, 1744, 526, 75, 4491, 664, 1915, 198, 2421, 4208, 1920, 2222, 2582, 3159, 1157, 4939, 3365, 4242, 2832, 1829, 1902, 2606, 3553, 3273, 3806, 2317, 3052, 448, 932, 304, 1030, 2151, 1011, 4180, 507, 33, 2854, 532, 4263, 360, 3829, 405, 2262, 2263, 726, 2297, 1871, 4758, 1965, 674, 1135, 4893, 563, 4037, 4366, 4355, 4375, 4412, 3544, 4917, 1294, 2602, 812, 1568, 3007, 4465, 4656, 3680, 2619, 2690, 4752, 4862, 4487, 2654, 2943, 4326, 3028, 4799, 263, 2332, 2231, 3621, 3579, 4664, 2561, 4233, 4080, 3661, 657, 1071, 3838, 104, 116, 2359, 3773, 2260, 523, 4822, 3301, 960, 4920, 2038, 870, 2514, 3766, 260, 3037, 3119, 29, 371, 3677, 2825, 1003, 1575};
ars[20] = {803, 3745, 150, 3558, 3330, 286, 402, 1900, 4618, 777, 4088, 2413, 3425, 3961, 4816, 2791, 2477, 292, 1007, 2106, 594, 822, 1454, 496, 3134, 4789, 4868, 2196, 1171, 178, 2298, 4411, 1034, 2990, 4046, 2637, 3809, 4812, 1895, 5000, 604, 222, 4558, 1978, 836, 2017, 3242, 1891, 3213, 623, 3813, 2167, 2625, 621, 4986, 139, 637, 506, 4644, 722, 2108, 2536, 436, 774, 4827, 4859, 2807, 343, 2920, 3641, 919, 3802, 4374, 1776, 1150, 1420, 1579, 3793, 2351, 2960, 4334, 4240, 2529, 1584, 4216, 3359, 738, 152, 660, 3294, 2662, 4248, 734, 3535, 1907, 1044, 503, 2695, 3717, 1349, 534, 4102, 4269, 1170, 666, 4183, 3986, 3702, 3962, 4380, 3252, 4943, 482, 187, 154, 331, 31, 3956, 262, 2747, 4144, 4470, 2199, 1906, 4484, 1705, 1867, 2120, 2966, 501, 1791, 369, 4428, 3172, 1388, 4291, 2686, 2204, 2448, 1217, 1737, 1299, 2356, 2763, 386, 4116, 2751, 3328, 2061, 2827, 2161, 3352, 4832, 858, 3649, 248, 2921, 651, 1022, 284, 923, 2779, 4634, 4134, 1962, 3064, 4045, 358, 1766, 1945, 3063, 695, 3765, 2416, 4506, 1599, 4204, 1604, 3066, 4307, 4389, 3628, 1061, 1909, 737, 4956, 143, 3371, 1595, 4196, 2603, 2882, 1796, 4607, 1774, 2558, 3477, 2309, 3904, 1309};
ars[21] = {216, 2220, 4349, 3662, 4676, 2864, 1224, 1747, 2300, 4963, 4173, 4840, 1383, 1327, 2977, 2191, 2930, 3015, 681, 2459, 897, 429, 1103, 3845, 3937, 3400, 246, 3002, 2709, 3787, 4824, 300, 3832, 177, 112, 39, 4648, 2914, 2194, 101, 3949, 3584, 365, 1153, 4193, 1798, 3852, 3856, 2058, 4779, 91, 4201, 1228, 1946, 3266, 3099, 1708, 931, 4316, 3179, 3032, 4612, 823, 3823, 4130, 4195, 1110, 2486, 280, 65, 1277, 3800, 4441, 1267, 2903, 573, 3253, 3337, 440, 488, 11, 2099, 1051, 2386, 2407, 2339, 208, 2077, 2752, 2331, 115, 890, 2634, 3382, 4530, 2664, 4727, 1194, 553, 123, 238, 1199, 4155, 2537, 2746, 332, 513, 927, 2343, 1510, 4965, 3899, 691, 4857, 3209, 4745, 2884, 3870, 2441, 1821, 2754, 692, 4826, 2389, 4681, 2641, 424, 550, 1264, 2190, 2503, 2939, 3704, 864, 1849, 2390, 2291, 2608, 4774, 4109, 3548, 363, 1424, 1629, 4582, 1610, 4735, 4168, 1496, 4808, 4300, 2535, 4904, 4552, 3678, 3645, 4174, 815, 1630, 4794, 17, 449, 676, 4807, 2037, 1752, 2096, 4443, 1250, 4101, 4255, 3114, 4253, 3743, 3016, 4372, 3404, 4304, 3866, 2682, 3339, 1139, 455, 4219, 4559, 3478, 3112, 3170, 731, 4539, 1803, 3598, 2559, 1550, 3069, 4072, 3568, 4821, 221, 2691};
ars[22] = {4642, 3079, 2458, 3754, 4158, 4007, 2771, 2788, 146, 4610, 1522, 2306, 4738, 1698, 2079, 78, 3265, 619, 3458, 1255, 3237, 1312, 2839, 4075, 1657, 1904, 816, 4064, 2560, 844, 2813, 3485, 824, 2611, 2897, 370, 886, 2396, 4272, 2896, 4394, 1594, 3495, 463, 1045, 1558, 3559, 3210, 2720, 1341, 256, 161, 1727, 1930, 3987, 2146, 84, 2148, 2412, 1792, 712, 2865, 3972, 866, 1080, 4627, 3824, 1643, 3551, 3504, 419, 3660, 2230, 2117, 2570, 122, 846, 3666, 1053, 229, 892, 1148, 1524, 4581, 3488, 1079, 265, 3871, 2587, 2405, 309, 3983, 3848, 4416, 1343, 2279, 2288, 4169, 3860, 4522, 1359, 3307, 1470, 4970, 1159, 3457, 1677, 4792, 3023, 1472, 4915, 2127, 4946, 3603, 277, 3221, 2200, 4588, 1008, 3901, 2527, 245, 1548, 2316, 274, 308, 4245, 813, 1111, 4669, 2372, 2388, 4844, 1104, 1491, 1966, 2326, 2049, 3560, 3377, 1141, 982, 912, 1654, 2411, 2803, 4699, 512, 4205, 624, 328, 2961, 3000, 4342, 4348, 493, 2733, 1436, 4689, 486, 2296, 1392, 3938, 555, 1589, 297, 538, 3374, 3999, 3570, 99, 2912, 3297, 2334, 4497, 4297, 2428, 2479, 3197, 1939, 4421, 4737, 339, 2299, 1076, 2511, 4934, 4629, 2008, 2103, 883, 4220, 4881, 2224, 3155, 58, 3459, 1822, 3378, 2623};
ars[23] = {908, 255, 893, 891, 2314, 4518, 19, 583, 2586, 1835, 174, 498, 313, 4608, 1976, 4385, 1313, 3121, 2462, 2856, 521, 852, 4112, 3840, 2822, 2430, 683, 1631, 814, 303, 2900, 4062, 3619, 1964, 4710, 1292, 2872, 3719, 3370, 4635, 3805, 2760, 4659, 3030, 3235, 3615, 2673, 4377, 1957, 4287, 2184, 3407, 1163, 4339, 4851, 3445, 3605, 2801, 2622, 1360, 1826, 3227, 414, 206, 2991, 1295, 251, 740, 4572, 3401, 2995, 3890, 2753, 4547, 1325, 456, 4267, 2030, 2318, 1761, 2716, 1608, 1533, 4633, 1647, 4036, 516, 4995, 2082, 2063, 3875, 3581, 3892, 1457, 1991, 599, 4501, 2772, 4362, 987, 2164, 1069, 1782, 3245, 2979, 920, 3821, 4209, 3435, 2905, 3115, 1801, 1173, 320, 940, 2705, 2909, 1060, 2427, 4004, 2487, 2556, 1581, 3863, 1050, 373, 98, 4078, 1995, 3791, 1618, 2573, 680, 1356, 3368, 3295, 4569, 2304, 1289, 4415, 510, 1488, 1208, 2904, 4373, 762, 898, 2042, 3767, 3124, 3344, 2861, 1723, 514, 3981, 3036, 3014, 454, 3638, 1949, 480, 654, 2051, 865, 4641, 2197, 4541, 2152, 609, 3917, 3280, 3533, 1636, 2378, 4966, 991, 1398, 2470, 1929, 1097, 48, 406, 4567, 1091, 282, 4967, 1205, 4023, 3545, 3686, 1515, 1847, 4265, 2784, 4589, 63, 2097, 904, 4340, 668};
ars[24] = {707, 73, 4929, 3534, 4647, 2944, 4932, 1819, 3895, 2962, 4403, 124, 1340, 3471, 4408, 349, 2998, 2941, 385, 2245, 1861, 2517, 4884, 1875, 3737, 2315, 4736, 2155, 4100, 417, 773, 279, 748, 1348, 3369, 1876, 138, 1769, 3508, 4890, 2223, 4081, 164, 2852, 4793, 2616, 2584, 3858, 2039, 3943, 1204, 4083, 3774, 1834, 772, 4006, 4760, 3653, 1901, 2125, 4490, 1005, 1243, 4755, 3410, 2066, 785, 2115, 3364, 2993, 3403, 1451, 4049, 2639, 802, 3830, 4899, 4188, 1099, 4009, 690, 3386, 70, 4069, 509, 64, 51, 1981, 4071, 641, 4052, 4113, 3140, 2047, 1026, 3474, 2154, 539, 911, 2633, 2282, 2098, 558, 1838, 4024, 2663, 1670, 2208, 2761, 4638, 2981, 3061, 47, 2886, 2732, 1225, 1275, 1196, 1317, 4979, 1898, 545, 437, 2711, 1640, 713, 784, 28, 1777, 1549, 36, 720, 743, 4401, 3727, 144, 392, 4958, 3599, 2474, 1444, 1389, 205, 4863, 4626, 4767, 1314, 1271, 273, 3903, 4538, 109, 3139, 3281, 4496, 3271, 675, 69, 3449, 3056, 1272, 4898, 3674, 3125, 2258, 4686, 915, 3171, 4683, 4476, 1690, 3143, 1985, 1188, 2321, 423, 2758, 1578, 2976, 646, 1197, 1419, 3340, 4651, 3241, 364, 4338, 3882, 3915, 167, 3757, 709, 471, 2403, 4445, 3596, 1193, 3189};
}
ll Bob(vector<pair<int,int>> V){
init();
int n = 5000;
vector<int> conn(n+1, -1);
for (auto [u, v]: V) {
conn[u] = v;
conn[v] = u;
}
ll fin = 0;
for (int bit = 0; bit < 25; bit++) {
bool add = false;
bool flag = false;
for (auto x: ars[bit]) {
if (conn[x] == -1) continue;
add = (conn[x] - 1);
flag = true;
break;
}
//assert(flag);
fin |= (((1LL)*add) << bit);
}
return fin;
}
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