21const std::vector<std::vector<et_type>>
MED_LUT = {
22 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
23 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
24 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
25 {0, 0, 0, 76, 57, 564, 771, 940, 696, 962, 878, 770, 802, 790, 627, 55, 0, 0, 0, 0},
26 {4, 16, 138, 262, 363, 866, 1115, 1197, 1163, 1318, 1321, 1166, 1190, 1105, 866, 356, 252, 137, 14, 2},
27 {89, 173, 466, 474, 688, 1031, 1310, 1419, 1356, 1525, 1519, 1352, 1414, 1311, 1034, 674, 471, 468, 164, 83},
28 {395, 652, 831, 797, 1203, 1215, 1541, 1658, 1550, 1718, 1703, 1548, 1627, 1520, 1206, 1214, 805, 850, 656, 409},
29 {960, 1320, 1117, 1177, 1718, 1320, 1704, 1813, 1701, 1876, 1850, 1711, 1838, 1691, 1368, 1724, 1194, 1133, 1369, 947},
30 {2030, 2661, 1758, 1476, 1974, 1462, 1708, 1872, 1711, 1808, 1839, 1732, 1897, 1723, 1433, 1968, 1522, 1735, 2724, 1999},
31 {2946, 3713, 2289, 1608, 1968, 1416, 1658, 1811, 1692, 1766, 1815, 1722, 1813, 1654, 1457, 1999, 1641, 2295, 3768, 2908},
32 {3514, 4471, 2651, 1974, 2271, 1541, 1859, 1982, 1768, 1853, 1884, 1838, 2028, 1795, 1540, 2220, 1953, 2667, 4391, 3466},
33 {3788, 4713, 2764, 2213, 3006, 1670, 2030, 2205, 1880, 2143, 2061, 1915, 2077, 1960, 1623, 2927, 2259, 2773, 4647, 3757},
34 {3923, 4825, 2986, 2833, 3639, 1813, 2228, 2396, 2097, 2185, 2125, 2157, 2347, 2147, 1833, 3515, 2905, 2962, 4910, 3953},
35 {4052, 4949, 3065, 3702, 4337, 1881, 2349, 2650, 2459, 2413, 2312, 2346, 2378, 2342, 1872, 4074, 3394, 3107, 4878, 3957},
36 {4097, 4341, 2903, 3730, 4807, 2009, 2495, 2844, 2511, 2438, 2380, 2374, 3051, 2638, 2251, 4421, 3577, 3062, 5326, 4316},
37 {4280, 5449, 3445, 3770, 4900, 2520, 2855, 3233, 2232, 2745, 2633, 2407, 2999, 2905, 2251, 5173, 4129, 3770, 5644, 4751},
38 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
39 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
40 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
41 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
42 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
43 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
44 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
45 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
46 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
47 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
48 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
49 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
50 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
51 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
52 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
53 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
54 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
55 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
56 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
57 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
58 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
59 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
60 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
61 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
62 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}