b21 := (1,556,1702,413,2062,2103,217,924,912,914,2350,983,1261)(2,325,1399,775, 1098,3048,1725,398,2089,1693,27,2527,2396)(3,67,381,2466,1164,2777,206, 972,1841,2697,1518,1720,1401)(4,1579,1001,1267,130,2225,1047,2125,3184, 2607,2484,859,2030)(5,391,1361,3150,3157,730,906,1076,2447,2126,2560, 3474,2273)(6,2643,997,395,2900,2723,1220,1038,758,656,2001,1537,3385)(7, 1896,1646,411,1434,3224,490,66,72,1640,22,2404,37)(8,2439,1026,3099,1610, 786,2725,178,1881,1623,3288,2576,1268)(9,2666,359,2715,2310,1256,241, 3418,2424,343,710,2293,1214)(10,3145,2009,713,508,1898,1426,1486,3281, 3007,1613,1520,3055)(11,820,1311,3400,3045,2972,771,2159,2667,1378,1294, 1686,1932)(12,2475,2463,991,320,219,1647,1885,2328,1260,1206,3237,1554) (13,3036,1240,1339,3109,2372,3317,2728,1367,1094,787,87,3264)(14,1735, 1104,2763,2108,1169,483,2727,3265,3188,736,139,263)(15,2023,1150,1936, 3062,387,207,2394,2382,51,1768,3032,533)(16,1741,3130,826,318,465,1599, 2124,2994,1530,2571,3300,1778)(17,3404,1691,42,1853,808,2690,477,46,1569, 1877,955,2914)(18,1633,1519,602,1652,2628,2217,1184,1732,3485,2110,989, 3158)(19,363,1374,3445,2579,1030,2829,3433,3050,1141,303,2025,2066)(20, 3334,2679,1992,2314,304,2520,715,2371,1461,676,2356,1785)(21,1163,947, 2781,512,2334,1604,1138,2950,1191,1160,2470,1642)(23,3217,405,3277,1473, 622,2262,2196,2919,2412,2907,2796,700)(24,230,1772,1509,1190,2502,1192, 1072,2069,1897,2678,337,1188)(25,225,2456,93,3149,2453,2823,1889,3336, 1717,677,1440,1126)(26,3302,488,2490,589,802,246,2429,2612,3279,961,1353, 3183)(28,1117,1987,3260,1058,175,190,3097,2461,3262,2345,3091,400)(29, 2398,1228,2508,372,1251,2478,620,2129,2474,2597,3457,1848)(30,2936,3239, 576,999,1086,1701,1763,435,1174,1606,1858,353)(31,2177,2888,1744,2414, 2197,98,1185,2991,3263,3004,3321,1290)(32,3233,2022,2550,2897,2922,3308, 1587,1905,579,2458,122,1870)(33,2216,176,3381,643,1678,848,1178,840,2095, 1096,2485,1803)(34,472,2601,2446,2834,1918,152,697,3327,513,1950,2735, 621)(35,3428,1321,976,1762,3289,1133,1266,232,471,1695,2481,300)(36,2479, 1078,2616,3023,590,1263,2929,910,1740,159,2956,1441)(38,813,2738,2960, 1665,111,276,1233,1700,1034,3487,941,2708)(39,2321,273,2720,119,2349,984, 2671,1287,1031,3234,550,2283)(40,376,1024,3507,2573,1347,2755,1952,2825, 2969,1815,2831,386)(41,199,1355,1535,960,640,2869,2397,330,2689,526,1028, 270)(43,1621,952,3147,156,2032,3123,2280,2354,798,2299,3057,2582)(44, 2948,1521,1152,157,2529,82,1100,561,1974,2112,114,1459)(45,2510,434,551, 1386,1525,239,3431,2319,1625,869,1400,2432)(47,838,1515,3012,943,733, 2389,124,3244,2868,3479,666,1880)(48,2158,1196,423,2488,1112,2407,1370, 646,2050,2302,2400,1429)(49,521,213,2880,801,2106,1105,3489,1618,205,352, 2846,2863)(50,195,598,1586,2762,2996,3310,2644,2176,810,766,2250,3196) (52,2337,1963,2020,1959,686,109,2323,535,2952,2193,669,3395)(53,3118, 2672,2619,436,703,3008,2853,3161,794,1041,2699,2303)(54,1594,2357,1319, 793,828,890,2859,1097,702,2205,511,2802)(55,863,2569,3081,1172,1820,2183, 2743,889,1517,442,2899,1271)(56,790,267,3134,3267,2791,3284,2413,964, 1213,687,3410,3024)(57,1631,1219,3423,350,480,2271,2220,1279,634,1671, 3330,978)(58,2818,2881,173,3229,3139,2034,292,2118,307,2810,3472,1723) (59,3098,2224,523,3035,2010,2865,1369,832,1283,1861,3223,3211)(60,712, 2015,2056,259,1265,2782,1281,2734,1055,172,1079,2322)(61,2188,3338,2082, 2531,1912,1212,2209,2551,2243,2646,2227,1866)(62,2149,745,71,517,1139, 3299,2318,3209,886,981,2549,2174)(63,254,2812,1365,2970,3126,679,1227, 2182,362,1638,293,1015)(64,2574,2278,1010,2766,1221,1002,953,707,1561, 1729,3304,1189)(65,662,872,3250,635,2147,108,162,954,2514,1033,448,1129) (68,580,2254,2997,837,1988,2241,804,3163,1000,3411,2938,361)(69,805,3005, 1114,728,3102,3436,1490,2552,3199,673,1465,1683)(70,3380,402,744,1981, 1480,2054,3182,223,418,3373,2642,2945)(73,414,528,188,258,2653,3329,3116, 310,1144,1574,3345,2676)(74,1366,3142,77,539,1057,2632,845,995,3466,1334, 2963,1409)(75,2998,2854,1413,3103,1547,2903,587,1937,3011,2986,1970,3029) (76,147,971,419,298,2966,255,2786,3452,3104,2230,445,2887)(78,179,1849, 252,3117,2286,3203,470,2419,1373,2958,2797,935)(79,385,1819,184,3314,605, 588,788,1069,2313,2543,306,197)(80,2902,881,2604,1050,1915,675,1673,951, 3350,474,2752,3502)(81,1816,2861,3386,1173,2608,1960,866,2092,91,2134, 3108,2974)(83,1951,444,2100,334,2395,2603,1928,3319,630,821,3171,2053) (84,519,1759,2195,1315,504,2631,3026,384,894,2122,1252,1088)(85,475,1886, 1124,3480,2931,2194,2535,356,1357,1677,2981,2506)(86,2060,94,2739,3335, 1145,1346,1131,1451,2811,3220,2155,1017)(88,3168,1274,2190,2111,1854, 2304,394,3375,2921,312,809,3236)(89,1551,566,1795,2144,942,2331,568,2749, 1798,885,1332,342)(90,3465,1406,2886,2741,2457,115,792,3226,3324,1994, 2554,2203)(92,537,2018,2343,1103,212,1423,907,2565,1046,495,1663,767)(95, 2029,2792,253,379,979,154,3017,1416,689,2891,2593,2441)(96,1529,357,406, 1545,795,3090,3362,3271,1065,2867,2809,2037)(97,2494,2779,2215,3444,3210, 1874,1784,3402,2776,1118,2113,796)(99,2975,1967,1925,1620,240,2141,1075, 2187,3075,1116,1598,2316)(100,2165,3185,1516,3341,2094,2783,482,862,441, 3056,168,153)(101,963,2244,1216,433,1132,3494,1687,3417,812,1829,2718, 2365)(102,1049,996,1941,2712,1292,584,3152,2408,1500,1447,3133,2768)(103, 1337,1934,238,165,280,3040,2115,1680,711,994,1003,1389)(104,3095,696, 1531,2835,1008,929,607,3212,1875,1596,1556,1396)(105,2489,2654,1175,185, 2836,2590,3475,2848,1724,3105,1012,1474)(106,1749,468,1161,2137,2164, 1491,936,2685,141,2085,1675,2068)(107,1428,2086,2390,1802,2257,2675,1331, 769,2223,2434,131,2577)(110,2701,1059,2418,127,701,373,2162,2627,1443, 2376,571,2505)(112,764,2968,716,2789,3283,1398,3488,1782,2993,449,2609, 2856)(113,3122,581,1381,138,1183,1532,536,2048,1956,1462,200,1921)(116, 917,228,224,779,1468,2221,1068,3270,3082,2586,1137,2793)(117,1176,281, 333,3326,1329,615,1272,2650,671,479,2202,899)(118,2298,1810,458,3256,316, 2605,824,2989,2746,2344,2547,785)(120,1298,2309,2555,2045,3268,1151,1101, 1655,137,770,2904,3409)(121,1303,1280,2688,134,681,1550,315,1128,880,849, 3309,892)(123,2281,3063,3434,1812,3156,883,926,1142,1953,2568,3019,2633) (125,2930,2512,1730,2862,1498,1384,1066,905,2588,3509,1340,2411)(126, 1580,3285,3266,266,2670,874,1522,3351,493,831,3251,2645)(128,2525,1940, 1200,878,3456,501,2955,1704,2040,875,1977,923)(129,3068,1624,3287,2364, 695,654,3432,2542,2049,2876,1289,3440)(132,1242,1643,412,2081,2807,1182, 1779,399,3315,3368,2214,1703)(133,1630,201,3191,1856,1728,2287,1006,403, 2218,891,1064,1430)(135,1077,262,2745,1698,2706,2661,685,903,321,1578, 1349,1091)(136,1372,2668,2294,2097,1282,3508,446,245,1830,145,2740,2012) (140,2063,3318,1622,739,776,575,148,1029,192,2427,2742,2711)(142,3164, 3364,1356,2425,3261,525,3291,1388,515,1760,1895,2906)(143,724,183,2362, 1716,2657,852,2308,3221,2473,3379,2566,977)(144,1383,1483,2683,1110,698, 1302,2311,3293,965,722,2894,3311)(146,3214,2915,806,2669,2036,3367,2487, 1533,524,2953,2636,2219)(149,2978,1558,1682,1685,1549,2093,2769,1998, 3501,1852,3482,231)(150,346,1696,2415,2845,773,1450,3446,582,503,990, 3073,2999)(151,2347,1405,2545,2611,2384,2297,2617,1285,327,1894,249,1244) (155,612,457,3120,2794,2039,3491,2852,692,857,829,729,2157)(158,1507, 3290,655,1063,1961,1649,717,1368,1946,1492,3021,2401)(160,1773,545,1734, 1320,1352,719,2557,2647,3354,1565,1750,2828)(161,888,558,1007,3383,1754, 2363,3391,3312,1705,1664,726,783)(163,957,486,855,496,3294,2602,181,2890, 3297,2406,3144,3240)(164,2091,417,1487,2927,721,2181,354,3132,1418,438, 481,3065)(166,1571,2342,2694,313,2832,3348,1099,1154,2622,628,1869,377) (167,3496,3020,1799,3477,2198,937,1238,2087,2142,614,554,1719)(169,950, 2493,279,487,1528,1162,2028,2059,3178,180,2935,723)(170,3426,1424,2788, 2185,3422,3124,2866,1900,287,2184,1645,2167)(171,1706,3394,2767,3365, 1811,1241,3498,1425,234,510,636,1350)(174,3369,632,229,592,553,3506,349, 2758,2084,1666,2795,1345)(177,1933,256,847,1120,2003,1911,1018,962,1764, 2320,494,2942)(182,3076,2438,2847,3066,2459,1538,2995,3006,2538,2253, 2840,2626)(186,3405,637,2207,1835,1476,1211,1067,1343,1218,916,3248,3269) (187,1032,2937,3390,591,709,2455,1814,2189,1837,557,3450,1575)(189,1419, 639,2130,2813,2249,1044,1589,3346,760,1909,2733,2335)(191,2248,2043,896, 1567,290,1657,2750,1804,1254,2301,2879,3071)(193,1876,856,1217,1656,2827, 1534,693,1847,2192,854,2011,430)(194,2136,278,1878,1179,324,3398,1391, 627,1600,2173,2403,1634)(196,2721,1203,2326,1636,574,2716,2386,1276,2714, 850,1748,220)(198,2878,1411,2120,2805,2212,2941,1485,1595,1670,3421,603, 1456)(202,1505,3257,741,2235,1572,842,1637,268,1747,388,1553,2748)(203, 731,2892,452,647,659,606,3077,2613,2282,629,1859,2285)(204,2580,3151, 1635,1084,3162,2431,2392,839,1681,2058,1417,3495)(208,3014,1326,1965, 3047,214,3278,2732,2242,2170,3238,2274,1845)(209,473,428,987,451,1481, 2526,505,570,1382,2340,1917,1317)(210,3286,1273,1324,1403,1463,2339,789, 2567,782,2772,2437,2019)(211,2410,3227,2154,1255,3316,706,3044,1559,1975, 498,1879,2258)(215,348,1296,2355,596,2947,1827,2440,1035,1771,1011,3114, 3295)(216,3101,2346,3165,830,431,2596,1039,1699,345,1626,323,2901)(218, 2150,1737,2655,2051,858,2251,1978,1390,425,657,772,2006)(221,1022,2658, 358,1488,966,3280,3125,1432,3246,1692,1170,3096)(222,3331,1903,3179,397, 1234,2276,836,2324,3110,949,2237,1073)(226,2954,1667,1245,2052,2533,3442, 1679,3463,1721,466,882,2370)(227,1394,2771,3086,478,1536,3195,2625,2208, 1736,2744,3425,1436)(233,3031,865,1431,1809,658,541,2433,2599,3172,1955, 1514,2692)(235,2436,2726,567,1929,2234,2882,1250,2166,1991,1248,1056, 2428)(236,1479,1208,1379,1226,1828,3377,2826,2239,284,1092,2044,2761) (237,668,617,1325,3119,3408,2540,3255,285,2639,2696,1512,2839)(242,2985, 2393,3392,562,1506,2133,380,401,3137,410,1543,2465)(243,3459,3174,2444, 1358,1408,1477,2659,1085,1913,2857,485,1882)(244,2246,825,1949,1149,1770, 1711,3106,2135,967,2228,2206,3443)(247,751,2534,2816,3197,1920,3222,1323, 2161,968,1054,3384,1888)(248,1648,3414,2148,900,1570,1780,1412,1016,2420, 1958,2123,2104)(250,753,3449,1204,1776,2575,684,2724,3167,518,1194,3128, 1496)(251,1230,534,1470,509,1651,2361,3357,1860,2352,2736,800,260)(257, 1090,2387,1348,3343,1540,816,1467,663,2116,1444,396,514)(261,3333,1335, 688,3054,3000,1009,2000,1971,618,2759,2751,1790)(264,2539,625,3013,946, 2391,595,1813,3074,1980,2284,2483,1312)(265,489,2686,2898,1923,1040,2634, 408,2800,897,2495,3499,2366)(269,3305,1832,529,2416,2171,1890,1615,3148, 638,1836,2307,2332)(271,3374,3301,1526,3370,3388,1048,2916,462,2033,1387, 1808,1166)(272,616,1591,1489,341,1985,1628,934,3088,930,2909,958,3497) (274,1239,2790,1907,644,1472,3403,714,1566,454,3016,1113,2664)(275,1555, 453,1186,3001,2844,2500,3435,2971,1833,2977,727,817)(277,2581,1013,1855, 1420,1051,986,3160,2099,1019,868,860,2156)(282,450,815,1143,455,2920,351, 2516,1715,2754,3093,459,2088)(283,467,844,1756,599,2785,2764,1619,322, 3258,2964,665,2201)(286,1632,2296,1338,1288,2451,2850,827,3058,2083,2497, 3027,3252)(288,3272,1826,1207,3219,3166,956,1834,1344,752,1714,3198,2871) (289,2760,2079,1187,708,1797,1215,314,484,1082,3015,3415,1197)(291,1786, 1071,763,3042,1502,2016,1053,3010,3490,1121,1942,1947)(294,368,1590,3407, 3230,2591,1843,1392,876,2289,2585,2272,1376)(295,309,2987,560,641,2870, 1081,1147,2624,2360,1148,2877,3083)(296,1364,2277,1155,1767,3448,1042, 460,1471,1806,2702,2784,1433)(297,2911,2385,861,2042,2918,1020,2515,2070, 3253,2822,3100,2275)(299,2684,1850,1435,748,2984,648,2703,3033,1910,1660, 2705,2713)(301,2449,725,3041,3325,1969,1943,1821,1842,2559,920,650,873) (302,931,608,2204,3396,1817,1404,2373,1359,422,759,2620,1954)(305,2803, 530,980,2423,2027,1336,791,1873,2944,1286,1612,1415)(308,2926,2610,613, 1825,2169,311,1862,3353,2074,3225,3372,2934)(317,1306,1838,2747,3155, 2967,2467,819,1277,2041,756,2330,1583)(319,982,1597,1818,2635,2191,447, 1746,2884,948,1792,565,1548)(326,1089,1846,1111,2757,1751,1062,2912,1990, 3259,3483,2939,3052)(328,928,3141,2035,1499,814,2359,2513,374,2426,2820, 2381,432)(329,2842,754,3320,3206,404,2127,1115,2260,1839,1377,3468,577) (331,2499,2652,2057,1328,1310,2178,1513,1672,2587,3080,2353,1658)(332, 2830,1707,2013,1407,959,3492,2717,853,3049,1307,1322,3416)(335,1908,2132, 2199,2008,2578,879,2152,1354,3092,1253,2469,749)(336,2563,2270,1690,3500, 913,2450,2637,1171,3190,1210,383,2259)(338,2843,2700,546,1023,3481,927, 1269,2519,841,2707,1789,1758)(339,2982,2959,3358,975,3177,2992,3478,1602, 851,2101,737,1684)(340,3323,573,1865,3461,1270,3471,904,1964,2325,1232, 3322,3159)(344,366,2077,1726,2798,2186,469,1609,1982,1371,1745,2295,552) (347,3094,2269,1469,1380,1641,2773,1341,2614,1264,1193,2226,1662)(355, 1181,443,718,2808,2693,2983,1523,429,1070,2341,2874,2430)(360,1794,911, 762,2872,1410,1494,691,969,2663,476,3173,1231)(364,407,1453,2071,1926, 382,3420,1939,1243,2114,1727,1938,1993)(365,2594,1027,559,3276,3360,835, 2055,1753,1914,1906,369,1930)(367,3204,532,3207,3453,420,2537,1948,1777, 823,1305,2962,1258)(370,3243,1927,3009,1438,1979,1495,1052,527,1130,1919, 1158,502)(371,2528,1446,1957,1931,633,2756,3153,1205,2933,822,2889,3484) (375,3169,2908,1800,1722,1966,1871,1123,2075,1710,1614,735,3061)(378, 1107,932,3328,1904,918,2858,2315,1157,1653,884,2965,2247)(389,1644,1976, 1611,2606,1156,3376,1868,2774,2731,998,1822,1738)(390,624,2229,2468,439, 2864,1739,1508,1857,516,3208,3460,2851)(392,3282,2231,2875,2168,3292,757, 544,672,1259,3401,572,1439)(393,1755,1694,1718,2145,1497,2014,2471,1840, 3186,1249,1916,2004)(409,597,2422,1466,543,2523,1650,1478,2600,1235,799, 1775,2518)(415,2775,3089,1769,1639,3363,1316,651,1422,2841,461,846,2279) (416,506,500,2895,3298,2719,1984,1363,3503,803,522,3043,1607)(421,661, 604,3355,1752,1262,992,456,549,2674,2556,440,1668)(424,3127,1275,2778, 1284,1493,1295,3115,2507,2119,1314,778,3344)(426,1573,1539,1014,2682, 2990,2925,1209,1608,843,867,2980,1887)(427,2957,3352,784,1924,601,1510, 1247,1503,898,464,2641,2180)(437,1986,2677,1195,988,1601,2598,1159,1669, 3274,2236,2722,2002)(463,2211,2896,1563,690,1627,1629,1421,2338,3430, 1689,3070,1557)(491,520,761,3154,1299,3455,3235,2530,877,3107,1297,645, 2572)(492,919,945,2417,3078,1449,2651,1765,2105,2522,732,1119,3028)(497, 1393,1437,738,3037,1106,704,1135,2288,797,1313,2067,578)(499,2815,3121, 1504,3079,2503,938,2940,2351,2923,3470,3176,3129)(507,3113,1989,1005, 2369,569,3340,780,3051,3192,674,3254,3393)(531,2546,2290,2139,3022,2256, 586,1109,1823,1742,1223,970,1257)(538,2317,811,1511,1944,1043,1140,2570, 901,3025,2623,864,2076)(540,2498,3467,2640,2128,2824,1902,3231,2153,2496, 2348,2300,1475)(542,925,1102,1180,1351,1697,3313,2893,1617,3034,2336, 1585,3413)(547,2460,2464,902,3429,699,3473,3136,2770,3140,2973,2305,3419) (548,1327,871,3131,3138,2374,3406,2787,747,1448,1708,2462,1482)(555,2729, 1304,2801,2562,1864,1201,664,3339,2445,2245,1199,1246)(563,3030,2024,680, 1524,2976,2621,2107,1308,1983,1568,2312,1544)(564,585,2109,660,781,3387, 2267,3194,1995,1999,1025,3112,1122)(583,3469,2073,2517,3200,3371,2306, 1224,1863,2358,682,3170,3059)(593,600,2233,1427,2078,2472,3337,922,2592, 3382,2838,1454,833)(594,3249,2849,1972,3175,631,3458,2143,2799,2648,2383, 2080,2780)(609,2240,3296,742,1872,1546,1004,2160,1581,1801,2629,2379, 1108)(610,2662,2388,1709,1997,2146,1733,2138,3202,1824,3359,944,2501) (611,3241,2017,3306,2367,3307,2814,2061,3002,1757,2399,2544,2476)(619, 1087,1060,2691,3476,915,2163,2905,2837,1552,777,3003,2409)(623,1291,653, 2264,3135,2291,1761,1713,1080,2917,1360,2704,1883)(626,2521,2232,3493, 1395,3349,895,2817,1146,2151,3181,2730,2873)(642,3084,2932,2753,2448, 1167,3505,3447,1036,2477,2121,2435,3038)(649,2583,683,3111,1442,3189, 1527,3397,2222,2885,909,2656,1805)(652,3187,1901,940,2452,2553,993,2687, 2377,2924,3273,740,3146)(667,3438,2046,1300,1564,1501,3216,2855,1309,870, 3143,2368,3510)(670,1452,818,774,1037,1712,1375,3361,2031,746,3228,2988, 3053)(678,2951,2928,1605,2327,1455,705,1831,1457,2804,2673,2541,1362) (694,2943,2292,1922,2263,1891,2681,3454,2595,2979,933,2833,921)(720,743, 2630,1844,2665,1333,2421,1458,3193,3072,1342,2090,3486)(734,1576,2486, 1774,1330,3437,1095,2117,3347,1168,3399,1893,2536)(750,2698,2961,2883, 2709,1125,1222,1397,2252,2821,2710,2558,3046)(755,1318,3441,3247,1968, 2102,3215,1542,2806,1674,1237,3275,1884)(765,974,2491,2210,1236,2329, 2378,887,2179,3069,1787,2589,1851)(768,2065,3218,2380,3245,3085,1562, 1134,1593,2765,2946,2442,3087)(807,2096,3378,2172,2402,3232,2561,1582, 3451,2737,2482,2454,1973)(834,1165,2131,1402,1791,2532,2255,2492,1603, 2021,1577,985,2265)(893,1793,2200,3389,2910,1783,2266,2261,1225,1385, 2949,2511,2005)(908,1796,3462,3356,3205,1659,2072,1153,2047,1899,2405, 3064,3332)(939,2175,2064,1766,1654,1484,3342,1229,1198,3213,2333,2680, 2638)(973,1935,1592,3067,1414,1464,3464,1867,2213,1202,3060,3242,3018) (1021,1616,1301,1731,1177,1541,2375,1962,2238,2584,2524,1045,2480)(1061, 1560,1807,1996,2026,1661,2504,1945,2860,3427,2038,1460,3439)(1074,2140, 2007,3201,2509,1083,1584,2819,2695,2098,3504,2618,2615)(1093,3424,3366, 1588,1892,2660,1127,2268,2649,2564,1743,3412,1445)(1136,3303,2548,2443, 1788,1688,1781,3180,1278,1293,1676,2913,3039);