MeatAxe.Perms := [
    PermList([9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55
,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,2,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,149,150,1,3,4,5,6,7,8,1975,1597,1976,1977,417,
1978,1979,1980,1981,1572,1457,1949,1041,1776,1982,1983,605,1346,780,966,1168,
1984,1171,1985,1902,765,1914,1986,1987,1988,1640,932,1989,1611,1990,1991,1992
,1993,1994,1407,1995,917,1996,1997,1145,986,1998,1999,2000,2001,2002,2003,
2004,2005,2006,2007,2008,1707,2009,2010,2011,797,1896,2012,2013,2014,2015,
1679,866,499,2016,1487,1969,754,502,1112,2017,927,2018,2019,2020,1018,2021,
2022,1593,2023,2024,424,861,469,294,2025,1342,2026,580,1312,2027,954,2028,
2029,1760,2030,852,373,1912,1542,1344,2031,2032,2033,2034,1274,2035,2036,822,
2037,312,1198,1512,1768,1866,2038,877,2039,240,2040,280,2041,1586,678,1380,
356,2042,397,2043,394,2044,942,523,2045,2046,1349,750,1131,2047,2048,2049,
2050,1816,2051,755,1233,2052,2053,2054,375,804,1047,598,2055,1793,156,2056,
741,574,934,961,2057,1917,1929,1163,500,471,413,2058,360,555,271,1243,1533,
2059,2060,2061,430,2062,2063,1786,2064,2065,1192,824,2066,2067,2068,1016,2069
,2070,2071,2072,1337,2073,552,2074,2075,626,1880,2076,1097,1570,1619,2077,834
,570,2078,933,2079,1115,2080,2081,596,2082,1530,275,857,468,2083,2084,2085,
621,1898,1436,617,1510,988,2086,2087,863,1729,1494,2088,1932,480,521,1554,
1095,2089,1139,1176,2090,2091,491,2092,336,2093,2094,1834,372,2095,2096,2097,
618,399,1524,2098,2099,2100,2101,597,1118,2102,1739,563,1215,2103,1889,2104,
1668,1221,1093,1633,2105,2106,2107,825,1426,1300,1398,930,699,2108,2109,1384,
819,2110,2111,2112,2113,2114,2115,2116,706,2117,2118,1352,1658,923,2119,2120,
163,2121,880,2122,320,2123,1528,1083,1515,1966,926,1579,2124,155,786,931,441,
949,2125,1759,204,1798,809,2126,1076,1058,1178,2127,1609,1501,2128,641,1489,
2129,2130,283,2131,2132,2133,2134,2135,1918,957,2136,1705,172,2137,2138,2139,
1878,2140,2141,546,2142,1725,1391,2143,2144,2145,1440,232,2146,2147,812,1174,
2148,1268,749,778,2149,2150,2151,350,978,2152,1945,352,1646,365,2153,739,1044
,1602,414,2154,1055,1726,689,1944,1057,383,2155,2156,2157,511,2158,2159,483,
2160,939,2161,423,306,2162,2163,2164,1677,2165,2166,261,379,1650,2167,2168,
443,1155,1876,2169,1389,2170,1758,1789,2171,398,2172,898,1931,1087,2173,860,
2174,972,2175,2176,2177,1670,2178,2179,1548,1325,2180,1755,2181,1802,1973,
2182,1864,2183,1070,1428,1567,1042,384,1253,2184,2185,2186,161,1410,2187,2188
,2189,2190,2191,1957,1480,2192,1970,1129,2193,152,1130,2194,357,2195,836,187,
2196,2197,2198,1028,2199,2200,753,692,2201,289,2202,2203,881,1690,2204,1680,
548,801,2205,253,2206,539,2207,2208,2209,1836,1032,2210,903,2211,1405,668,840
,2212,2213,1891,1900,2214,1887,1134,907,585,1706,959,785,528,910,2215,1234,
2216,2217,292,2218,1239,2219,2220,760,2221,490,2222,2223,2224,2225,711,1613,
2226,2227,2228,1968,2229,2230,2231,578,2232,2233,1953,2234,1832,465,2235,2236
,554,971,2237,2238,1915,2239,2240,1159,2241,2242,2243,2244,2245,2246,772,2247
,2248,1373,2249,2250,2251,2252,330,2253,1895,2254,2255,2256,311,2257,1137,
1749,1873,2258,2259,2260,2261,2262,202,2263,1779,723,2264,1851,2265,1252,2266
,1332,2267,1573,1589,1892,453,2268,1808,2269,2270,390,2271,1302,611,2272,2273
,1708,2274,854,1536,519,1006,581,1825,1608,691,1587,1764,1517,940,2275,2276,
361,952,2277,2278,1376,1290,609,2279,2280,354,2281,1354,1144,2282,2283,2284,
1421,2285,2286,789,1211,1149,1039,2287,1629,393,1727,1955,713,1355,2288,1089,
2289,708,1188,503,1296,277,671,1027,530,2290,1821,1094,1478,962,1486,205,2291
,929,2292,2293,793,2294,2295,2296,897,1588,2297,2298,2299,1186,1350,1258,886,
2300,2301,1921,2302,712,2303,999,2304,2305,2306,2307,2308,2309,767,1526,653,
2310,1100,2311,983,2312,794,2313,2314,406,2315,687,457,323,1101,982,520,904,
1928,2316,506,1960,631,461,1333,2317,1735,2318,2319,2320,1236,2321,2322,2323,
2324,169,1193,1644,351,439,875,371,998,2325,1661,2326,2327,248,1803,1238,2328
,477,2329,633,868,1716,2330,2331,2332,2333,2334,2335,2336,981,2337,2338,2339,
435,1015,2340,1662,2341,871,2342,773,2343,2344,2345,2346,2347,833,2348,1470,
255,2349,1304,2350,2351,193,1272,2352,2353,1497,164,1255,2354,269,975,1201,
643,1614,2355,2356,600,1916,1477,2357,2358,1299,1564,844,2359,682,1842,1599,
1197,576,2360,1218,447,492,2361,178,1687,758,2362,224,446,651,1656,2363,2364,
2365,2366,2367,2368,2369,545,342,2370,2371,1276,1200,544,191,1730,2372,686,
784,215,1809,1002,2373,977,337,2374,584,2375,2376,1180,558,1202,1167,915,2377
,2378,743,1549,2379,485,1514,707,2380,762,2381,1763,2382,1737,2383,894,2384,
1199,2385,1634,612,569,504,1020,996,565,2386,1620,912,307,1714,2387,538,799,
1615,1638,1741,2388,416,2389,1628,1123,2390,501,2391,2392,2393,189,2394,1676,
2395,2396,2397,568,1224,2398,2399,2400,2401,1395,2402,2403,2404,1596,279,2405
,2406,1784,2407,339,2408,1675,1595,1204,1162,2409,2410,168,1270,1578,1894,
2411,1465,363,1888,2412,2413,1766,1318,1232,1416,2414,1479,1445,655,1584,479,
1107,1648,2415,994,1859,378,2416,2417,1237,1060,2418,1390,1012,1516,2419,602,
1214,2420,2421,2422,2423,392,1314,1552,1713,1740,2424,2425,623,1830,2426,2427
,953,967,850,2428,470,1156,828,1045,182,2429,1860,2430,2431,1025,2432,1833,
380,2433,1905,1663,872,2434,1684,2435,1723,1590,2436,1513,2437,1347,1074,2438
,2439,2440,2441,1140,1143,251,2442,2443,2444,2445,2446,2447,1577,2448,1388,
1466,1769,2449,1566,2450,463,243,1183,814,1502,1282,1306,2451,2452,1433,2453,
2454,2455,338,1207,1788,887,1396,1122,1618,2456,2457,2458,1288,1473,2459,2460
,2461,2462,2463,1493,831,1375,2464,153,533,1582,1642,941,2465,2466,2467,1438,
638,429,1837,2468,2469,1745,2470,333,228,770,516,2471,426,403,2472,2473,680,
2474,1903,648,1636,2475,1946,1651,2476,2477,2478,914,1088,1086,2479,2480,559,
2481,1051,181,688,1908,2482,2483,1244,1674,2484,2485,1190,1249,2486,2487,2488
,2489,2490,2491,1359,422,2492,1681,2493,1840,2494,1212,1104,1135,775,1266,656
,659,2495,1472,293,2496,2497,965,1711,2498,2499,2500,704,2501,2502,1068,1108,
1340,2503,2504,796,624,2505,2506,431,1817,1612,217,2507,2508,1177,162,2509,
693,2510,532,1787,2511,2512,2513,325,1703,2514,969,1699,2515,401,1364,1458,
2516,322,2517,591,1293,2518,2519,1071,697,2520,1448,1828,895,1799,2521,200,
1481,190,2522,2523,1133,2524,2525,507,1909,260,518,2526,456,1518,1030,2527,
2528,2529,2530,1743,1251,2531,1762,1385,213,1297,284,1712,1770,1124,2532,2533
,498,2534,2535,1819,2536,632,2537,2538,2539,1718,2540,582,218,1697,727,2541,
732,1686,1408,1702,660,2542,1941,1196,2543,1553,2544,1329,415,1920,1688,1678,
165,1709,667,817,756,2545,1862,348,2546,1861,2547,920,2548,308,2549,714,1603,
2550,475,223,2551,2552,1363,382,2553,1117,2554,2555,2556,2557,792,1285,1795,
2558,964,2559,428,550,2560,2561,2562,685,2563,1805,2564,2565,2566,2567,2568,
368,846,2569,1343,2570,2571,2572,1778,2573,1752,2574,1459,575,318,2575,1111,
266,1369,331,1719,2576,1222,884,1269,221,210,1732,1867,2577,2578,2579,2580,
973,2581,314,526,1420,2582,1404,1645,1884,2583,1885,476,1696,2584,1750,2585,
2586,366,1822,2587,1424,2588,2589,673,1053,2590,717,2591,821,2592,2593,549,
1938,1324,1592,317,2594,1326,241,2595,1507,963,1930,1641,1406,332,1422,1281,
726,716,2596,2597,2598,1054,488,454,2599,676,2600,976,2601,1877,830,551,2602,
630,1511,421,564,698,2603,1653,2604,2605,2606,2607,2608,2609,635,985,2610,
1937,2611,1625,263,2612,1847,1519,1904,2613,2614,1278,588,805,1561,358,646,
367,1461,1464,2615,607,2616,1065,2617,1412,522,267,776,1400,2618,1529,879,
2619,2620,296,2621,2622,1227,1165,2623,1683,740,1136,2624,1815,882,444,2625,
2626,2627,1114,1230,2628,2629,1378,2630,1335,420,1818,557,1078,1605,2631,459,
2632,2633,2634,1484,1005,761,1814,1120,1434,902,2635,2636,2637,2638,672,724,
445,199,321,2639,990,1402,2640,452,2641,1964,362,2642,2643,1330,262,197,745,
2644,1066,257,1291,1806,870,1419,1807,2645,484,1562,1321,2646,629,2647,1223,
1974,1801,2648,1181,2649,604,386,603,1935,1617,2650,989,2651,2652,1040,2653,
677,254,1468,2654,2655,2656,937,606,2657,493,2658,1509,2659,1754,1339,2660,
640,2661,2662,2663,1187,2664,304,1852,2665,364,705,1874,2666,1368,2667,525,
1152,2668,1307,654,2669,297,599,259,2670,1179,2671,627,2672,2673,628,2674,
2675,2676,1260,1550,1283,2677,434,236,478,2678,2679,2680,1403,2681,2682,2683,
1077,411,645,2684,2685,291,2686,2687,1872,2688,883,1637,1377,2689,1173,1294,
473,960,2690,662,2691,535,1189,1826,2692,1604,2693,587,1059,1881,2694,2695,
1460,2696,1446,816,1926,2697,1773,2698,1092,2699,2700,2701,2702,1490,1301,157
,1393,2703,2704,2705,1049,2706,2707,2708,2709,1831,1064,2710,2711,1626,1453,
1013,239,1649,1383,2712,2713,893,487,355,734,2714,639,1591,1751,2715,1689,
1506,295,2716,1829,2717,2718,2719,2720,1413,1317,2721,1024,2722,652,427,2723,
608,593,1217,2724,947,890,752,889,1855,2725,2726,2727,2728,509,2729,2730,634,
256,2731,2732,1365,2733,1441,326,1804,344,2734,683,203,2735,1565,2736,2737,
2738,2739,1229,818,2740,709,2741,1568,970,2742,1631,987,1664,1698,2743,2744,
1952,2745,2746,1050,1098,2747,2748,2749,1748,1169,681,2750,2751,869,2752,2753
,896,2754,346,561,388,2755,2756,2757,1000,1146,1439,1824,1228,2758,2759,1865,
2760,1310,1052,1967,1411,2761,2762,2763,2764,345,956,2765,2766,2767,1379,619,
1498,231,2768,1734,310,2769,876,2770,517,583,2771,2772,247,948,2773,1643,1673
,436,2774,300,438,1096,2775,862,404,2776,2777,2778,2779,2780,1080,2781,1336,
1366,759,2782,839,2783,2784,1483,1691,2785,829,1303,2786,2787,455,2788,2789,
2790,2791,1474,1022,1563,2792,235,669,508,496,2793,2794,2795,234,450,474,2796
,400,1315,1839,807,1414,2797,1210,1940,1191,341,2798,733,540,2799,791,2800,
921,1246,1800,495,2801,1965,2802,2803,837,2804,2805,1534,2806,1331,695,2807,
1362,2808,2809,661,1036,2810,1295,2811,2812,542,788,1062,2813,1109,1323,1950,
900,2814,2815,2816,2817,2818,1280,891,2819,466,2820,1372,1682,684,2821,1523,
2822,2823,1813,782,2824,2825,1382,2826,2827,2828,2829,1882,2830,334,2831,1958
,2832,2833,2834,2835,1858,374,2836,658,888,529,2837,1520,2838,305,389,2839,
2840,2841,2842,2843,1001,909,1267,2844,722,1925,2845,2846,1035,2847,451,1469,
2848,657,1082,2849,1657,1871,407,2850,808,1508,674,2851,1559,2852,2853,2854,
2855,315,1073,2856,1119,1774,730,2857,2858,2859,1962,2860,783,209,2861,2862,
1151,1655,1715,1812,2863,1475,1462,562,1154,2864,1113,1500,1717,274,410,301,
2865,1704,2866,560,2867,2868,1105,2869,1846,2870,220,185,613,1184,2871,1555,
359,1532,1736,2872,1205,2873,1792,2874,2875,944,924,701,2876,2877,2878,1449,
1309,2879,1627,2880,1110,2881,2882,1666,2883,1845,1870,2884,1875,2885,2886,
159,664,2887,806,2888,2889,2890,1106,340,1545,2891,1574,2892,2893,2894,700,
2895,2896,1869,2897,1886,2898,1811,2899,647,2900,2901,1273,2902,2903,2904,
2905,2906,1437,183,2907,1356,1863,1009,2908,237,694,1820,1503,1348,309,2909,
1897,798,1744,2910,369,1417,1756,2911,2912,1810,2913,180,154,642,179,2914,
2915,1857,160,1038,2916,763,2917,2918,2919,2920,1647,1558,1026,595,757,1635,
2921,1791,2922,1720,2923,2924,1353,1796,481,1594,1386,288,2925,1710,2926,1019
,1322,2927,2928,1919,892,2929,2930,1443,1694,395,462,1835,1358,2931,2932,2933
,1132,2934,1452,2935,2936,2937,2938,2939,2940,577,2941,1541,2942,2943,2944,
2945,703,1547,1616,2946,2947,867,1844,458,1256,614,2948,1387,2949,2950,1654,
2951,2952,377,175,1242,1397,198,2953,2954,2955,766,2956,1488,2957,848,1879,
1451,302,1598,2958,1289,2959,2960,590,2961,1150,2962,2963,515,795,2964,1127,
1771,2965,2966,1685,2967,1923,1351,1943,1499,2968,192,2969,2970,720,2971,908,
1936,2972,1601,2973,2974,2975,2976,1225,2977,2978,2979,2980,1142,2981,1116,
2982,2983,1063,777,769,2984,2985,1823,2986,2987,696,1868,1972,285,945,486,
1327,207,1777,2988,1659,2989,2990,1546,1785,2991,2992,665,2993,1956,2994,2995
,742,1430,865,2996,2997,2998,2999,3000,1571,735,281,3001,690,206,1033,1576,
811,1485,1471,3002,3003,3004,556,771,3005,1141,1316,3006,3007,1606,1733,1263,
3008,376,258,3009,328,3010,222,787,3011,1153,1203,226,3012,592,1933,1959,3013
,3014,1841,3015,1021,702,899,171,3016,859,3017,3018,1046,764,194,3019,3020,
1913,3021,992,264,3022,1753,3023,3024,3025,997,387,1450,1757,1838,290,3026,
3027,3028,3029,3030,1537,1206,1927,173,1148,728,1241,3031,3032,3033,3034,419,
3035,1160,3036,1939,3037,1357,335,567,3038,3039,3040,858,601,835,3041,1624,
901,1482,3042,1906,3043,832,3044,1521,278,1048,3045,230,186,3046,1761,1632,
3047,1610,3048,3049,1693,174,1370,1747,3050,537,216,1491,3051,1660,3052,851,
1284,3053,984,855,3054,3055,3056,3057,1017,449,3058,1007,1004,823,489,803,
3059,472,3060,3061,3062,911,1765,1195,167,1948,1427,3063,736,3064,845,329,874
,1147,442,1003,3065,3066,497,905,242,3067,1775,1535,408,3068,3069,3070,1854,
3071,3072,3073,3074,3075,3076,3077,3078,1585,3079,3080,1667,3081,1259,385,738
,1208,3082,1014,1623,3083,276,781,1797,3084,1328,3085,1334,201,725,1084,1580,
396,3086,3087,166,3088,3089,3090,249,1099,1219,3091,299,1399,527,1671,3092,
1560,3093,3094,1910,3095,3096,1492,1029,3097,238,3098,188,3099,524,3100,3101,
3102,3103,1011,287,3104,212,252,1794,3105,3106,946,1538,303,3107,1827,1157,
3108,3109,3110,3111,918,3112,1738,1345,3113,1639,878,3114,3115,3116,233,433,
3117,1010,3118,1311,3119,1250,3120,3121,3122,1172,3123,1746,1138,1265,3124,
1544,3125,3126,3127,3128,432,827,3129,3130,343,1103,3131,1360,151,3132,3133,
3134,3135,3136,3137,494,746,460,670,3138,482,3139,3140,729,951,3141,3142,919,
838,1409,3143,922,1226,3144,3145,719,1701,1540,3146,3147,3148,622,3149,1182,
1429,616,1495,1264,3150,710,3151,748,1527,3152,980,1161,1287,1308,3153,177,
1557,1423,925,467,1583,1772,849,3154,1401,1286,3155,3156,3157,1023,3158,3159,
3160,170,1262,3161,1607,1425,936,3162,3163,3164,391,1849,3165,3166,3167,1081,
298,3168,1371,1476,3169,3170,3171,1432,541,3172,1034,176,3173,3174,1447,3175,
571,353,347,3176,3177,3178,536,3179,3180,847,3181,3182,3183,1320,3184,1031,
3185,3186,3187,1418,3188,1922,1394,615,3189,3190,3191,1767,802,3192,1934,1782
,1848,1963,3193,1056,3194,1504,1722,3195,1954,184,3196,1665,675,873,3197,943,
3198,3199,1102,1728,3200,272,1166,1313,3201,3202,3203,3204,219,229,3205,790,
1467,543,3206,864,1731,3207,3208,1556,3209,1091,3210,3211,286,991,313,3212,
3213,1692,547,425,1374,3214,586,3215,993,3216,3217,3218,3219,448,3220,1630,
273,3221,3222,1392,3223,1600,1853,610,512,3224,3225,938,3226,3227,3228,1338,
1164,3229,316,1621,3230,768,573,1569,935,319,928,1175,3231,3232,1893,3233,
1951,440,3234,1271,245,510,3235,3236,553,3237,1455,3238,1947,1170,1043,505,
208,3239,3240,3241,1622,1341,1128,636,1245,589,1235,3242,3243,779,3244,3245,
3246,1551,1248,1275,3247,1261,3248,3249,1700,3250,3251,841,3252,513,3253,679,
3254,1505,913,3255,3256,3257,3258,3259,1247,3260,3261,3262,1254,349,1883,715,
3263,3264,531,1158,3265,158,1783,3266,1240,3267,620,3268,718,1924,1780,1209,
3269,1279,211,3270,246,916,3271,1185,663,1367,3272,594,751,270,644,1496,3273,
3274,3275,3276,3277,1724,774,3278,3279,856,968,1121,3280,3281,579,566,3282,
1079,409,3283,3284,3285,1742,637,3286,1942,1126,3287,843,195,1522,1061,3288,
225,1444,1890,1415,3289,3290,885,282,3291,649,3292,437,402,1790,1305,3293,
3294,3295,3296,3297,1781,1431,1961,1361,955,3298,1292,3299,3300,1543,3301,
3302,370,906,3303,744,1901,324,3304,1231,3305,3306,3307,3308,3309,3310,3311,
1319,721,3312,3313,747,1069,3314,268,327,3315,3316,1525,3317,244,250,3318,
1381,1037,3319,815,1125,1899,650,214,3320,1971,3321,1695,1669,3322,1067,3323,
1456,3324,3325,1652,3326,196,1257,1220,810,3327,995,3328,666,1531,3329,958,
842,979,3330,3331,853,731,412,381,227,974,1907,3332,820,625,405,826,534,1463,
3333,265,3334,464,1721,1194,3335,950,813,3336,1085,3337,1435,514,3338,1072,
1539,3339,1216,1850,1843,3340,3341,1090,1442,1213,737,1298,3342,3343,3344,
3345,3346,1911,1575,3347,572,3348,3349,3350,3351,800,1581,3352,3353,418,3354,
3355,1454,3356,3357,1672,1075,3358,1856,1008,1277,3359,3360,3362,3364,3361,
3367,3368,3363,3365,3366,3369])
];