b21 := (1,3,7,14)(2,5,10,20)(4,8,16,30)(6,12,23,42)(9,18,33,59)(11,21,38,68)
     (13,25,45,80)(15,28,50,89)(17,31,55,98)(19,35,62,110)(22,40,71,125)(24,
     43,76,134)(26,47,83,146)(27,48,85,150)(29,52,92,162)(32,57,101,177)(34,
     60,106,186)(36,64,113,198)(37,66,116,204)(39,69,121,213)(41,73,128,225)
     (44,78,137,240)(46,81,142,249)(49,87,153,267)(51,90,158,276)(53,94,165,
     288)(54,96,168,294)(56,99,173,303)(58,103,180,315)(61,108,189,330)(63,
     111,194,339)(65,114,200,349)(67,118,207,361)(70,123,216,376)(72,126,221,
     385)(74,130,228,397)(75,132,231,402)(77,135,236,411)(79,139,243,423)(82,
     144,252,438)(84,148,258,449)(86,151,263,458)(88,155,270,470)(91,160,279,
     485)(93,163,284,494)(95,166,290,504)(97,170,297,516)(100,175,306,531)
     (102,178,311,540)(104,182,318,552)(105,184,321,558)(107,187,326,567)(109,
     191,333,579)(112,196,342,594)(115,202,352,611)(117,205,357,620)(119,209,
     364,632)(120,211,367,637)(122,214,372,646)(124,218,379,658)(127,223,388,
     673)(129,226,393,682)(131,229)(133,233,405,702)(136,238,414,717)(138,241,
     419,725)(140,245,426,737)(141,247,429,743)(143,250,434,752)(145,254,441,
     764)(147,256,445,771)(149,260,452,783)(152,265,461,798)(154,268,466,807)
     (156,272,473,819)(157,274,476,825)(159,277,481,834)(161,281,488,846)(164,
     286,497,861)(167,292,507,878)(169,295,512,887)(171,299,519,899)(172,301,
     522,905)(174,304,527,914)(176,308,534,926)(179,313,543,941)(181,316,548,
     950)(183,319,554,960)(185,323,561,971)(188,328,570,986)(190,331,575,995)
     (192,335,582,1007)(193,337,585,1013)(195,340,590,1022)(197,344,597,1033)
     (199,347,602,1042)(201,350,607,1051)(203,354,614,1063)(206,359,623,1078)
     (208,362,628,1087)(210,365)(212,369,640,1105)(215,374,649,1120)(217,377,
     654,1129)(219,381,661,1141)(220,383,664,1147)(222,386,669,1156)(224,390,
     676,1167)(227,395,685,1182)(230,400,693,1196)(232,403,698,1205)(234,407,
     705,1217)(235,409,708,1223)(237,412,713,1232)(239,416)(242,421,728,1257)
     (244,424,733,1266)(246,427,739,1276)(248,431,746,1287)(251,436,755,1302)
     (253,439,760,1311)(255,443,767,1322)(257,447,774,1334)(259,450,779,1343)
     (261,454,786,1353)(262,456,789,1359)(264,459,794,1368)(266,463,801,1174)
     (269,468,810,1394)(271,471,815,1403)(273,474,821,1413)(275,478,828,1425)
     (278,483,837,1440)(280,486,842,1449)(282,490,849,1461)(283,492,852,1467)
     (285,495,857,1476)(287,499,864,1488)(289,502,869,1497)(291,505,874,1506)
     (293,509,881,1518)(296,514,890,1533)(298,517,895,1542)(300,520,901,1552)
     (302,524,908,1564)(305,529,917,1579)(307,532,922,1588)(309,536,929,1600)
     (310,538,932,1606)(312,541,937,1615)(314,545,944,1627)(317,550,953,1642)
     (320,556)(322,559,967,1666)(324,563,974,1678)(325,565,977,1684)(327,568,
     982,1693)(329,572,989,1704)(332,577,998,1718)(334,580,1003,1727)(336,583,
     1009,1736)(338,587,1016,1747)(341,592,1025,1762)(343,595)(345,599,1036,
     1780)(346,600,1038,1784)(348,604,1045,1796)(351,609,1054,1810)(353,612,
     1059,1819)(355,616,1066,1831)(356,618,1069,1837)(358,621,1074,1846)(360,
     625,1081,1858)(363,630,1090,1873)(366,635,1096,1884)(368,638,1101,1893)
     (370,642,1108,1905)(371,644,1111,1910)(373,647,1116,1919)(375,651,1123,
     1931)(378,656,1132,1946)(380,659,1137,1955)(382,662,1143,1965)(384,666,
     1150,1976)(387,671,1159,1989)(389,674,1164,1998)(391,678,1170,2007)(392,
     680,1173,2013)(394,683,1178,2021)(396,687,1185,2033)(398,690,1190,2042)
     (399,691,1192,2046)(401,695,1199,2058)(404,700,1208,2073)(406,703,1213,
     2082)(408,706,1219,2092)(410,710,1226,2104)(413,715,1235,2119)(415,718,
     1240,2128)(417,721,1245,2137)(418,723,1248,2142)(420,726,1253,2151)(422,
     730,1260,2162)(425,735,1269,2177)(428,741,1279,2193)(430,744,670,1157)
     (432,748,1290,2212)(433,750,1293,2218)(435,753,1298,2227)(437,757,1305,
     2239)(440,762)(442,765,1318,2260)(444,769,1325,2272)(446,772,1330,2281)
     (448,776,1337,2293)(451,781)(453,784,1349,2313)(455,787,1355,2321)(457,
     791,1362,2332)(460,796,1371,2346)(462,799,1376,2355)(464,803,1382,2366)
     (465,805,1385,2372)(467,808,1390,2381)(469,812,1397,2393)(472,817,1406,
     2407)(475,823,1416,2424)(477,826,1421,2433)(479,830,1428,2444)(480,832,
     1431,2450)(482,835,1436,2459)(484,839,1443,2471)(487,844,1452,2485)(489,
     847,1457,2494)(491,850,1463,2504)(493,854,1470,2516)(496,859,1479,2528)
     (498,862,1484,2537)(500,866,1491,2549)(501,867,1493,2553)(503,871,1500,
     2565)(506,876,1509,2580)(508,879,1514,2588)(510,883,1521,2600)(511,885,
     1524,2606)(513,888,1529,2614)(515,892,1536,2626)(518,897,1545,2641)(521,
     903,1555,2658)(523,906,1560,2666)(525,910,1567,2678)(526,912,1570,2684)
     (528,915,1575,2692)(530,919,1582,2703)(533,924,1591,2718)(535,927,1596,
     2727)(537,930,1602,2737)(539,934,1609,2747)(542,939,1618,2762)(544,942,
     1623,2771)(546,946,1630,2783)(547,948,1633,2789)(549,951,1638,2798)(551,
     955,1645,2810)(553,958,1650,2819)(555,961,1655,2827)(557,964,1660,2836)
     (560,969,1669,2851)(562,972,1674,2860)(564,975,1680,2870)(566,979,1687,
     2882)(569,984,1696,2897)(571,987)(573,991,1707,2916)(574,993,1709,2920)
     (576,996,1714,2929)(578,1000,1721,2939)(581,1005)(584,1011,1739,2969)
     (586,1014,855,1472)(588,1018,1750,2988)(589,1020,1753,2994)(591,1023,
     1758,3003)(593,1027,1765,3013)(596,1031,1772,3025)(598,1034,1777,3033)
     (601,1040,1787,1356)(603,1043,1792,3058)(605,1047,1799,3070)(606,1049,
     1801,3074)(608,1052,1806,3083)(610,1056,1813,3095)(613,1061,1822,3110)
     (615,1064,1827,3119)(617,1067,1833,3129)(619,1071,1840,3141)(622,1076,
     1849,3156)(624,1079,1854,3165)(626,1083,1861,3176)(627,1085,1864,3182)
     (629,1088,1869,3190)(631,1092,1876,3200)(633,1093,1878,3203)(634,1094,
     1880,3207)(636,1098,1887,3219)(639,1103,1896,3234)(641,1106,1901,3242)
     (643,1109)(645,1113,1913,3262)(648,1118,1922,3276)(650,1121,1927,3285)
     (652,1125,1934,3296)(653,1127,1937,3302)(655,1130,1942,3311)(657,1134,
     1949,3322)(660,1139,1958,3337)(663,1145,1967,3352)(665,1148,1972,3361)
     (667,1152,1978,3371)(668,1154,1981,3377)(672,1161,1992,3395)(675,1166,
     2001,3409)(677,1168,2003,3413)(679,1171,2009,3423)(681,1175,2015,3432)
     (684,1180,2024,3447)(686,1183,2029,3456)(688,1187,2036,3468)(689,1188,
     2038,3472)(692,1194,2049,3490)(694,1197,2054,3498)(696,1201,2061,3510)
     (697,1203,2064,3516)(699,1206,2069,3524)(701,1210,2076,3534)(704,1215,
     2085,3549)(707,1221,2095,3566)(709,1224,2100,3574)(711,1228,2107,3586)
     (712,1230,2110,3592)(714,1233,2115,3601)(716,1237,2122,3613)(719,1242,
     2131,3627)(720,1243,2133,3631)(722,1246,2139,3641)(724,1250,2145,3651)
     (727,1255,2154,3666)(729,1258,2159,3675)(731,1262,2165,2443)(732,1264,
     2168,3690)(734,1267,2173,3699)(736,1271,2180,3710)(738,1274,2185,3719)
     (740,1277,2189,3726)(742,1281,2196,3737)(745,1285,2203,3749)(747,1288,
     2208,3758)(749,1291,2214,3767)(751,1295,2221,3779)(754,1300,2230,3794)
     (756,1303,2235,3803)(758,1307,2242,3815)(759,1309,2245,3821)(761,1312,
     2250,3830)(763,1315,2255,3838)(766,1320,2263,3850)(768,1323,2268,3859)
     (770,1327,2275,3871)(773,1332,2284,3886)(775,1335,2289,3895)(777,1339,
     2296,3906)(778,1341,2299,3912)(780,1344,2304,3920)(782,1347,2309,3929)
     (785,1351,1722,2940)(788,1357,2323,3950)(790,1360,2328,3959)(792,1364,
     1080,1856)(793,1366,2337,3975)(795,1369,2342,3984)(797,1373,2349,3996)
     (800,1378,2358,4011)(802,1380,2362,3102)(804,1383,2368,4026)(806,1387,
     2375,4037)(809,1392,2384,4051)(811,1395,2389,4059)(813,1399,2396,4071)
     (814,1401,2399,4076)(816,1404,2403,3914)(818,1408,2410,4095)(820,1411,
     2415,4104)(822,1414,2420,4111)(824,1418,2427,4123)(827,1423,2436,4138)
     (829,1426)(831,1429,2446,2922)(833,1433,2453,4164)(836,1438,2462,4179)
     (838,1441,2467,2884)(840,1445,2474,4198)(841,1447,2477,4204)(843,1450,
     2482,4213)(845,1454,2488,1316)(848,1459,2497,4236)(851,1465,2507,4253)
     (853,1468,2512,4261)(856,1474,2521,4276)(858,1477,877,1511)(860,1481,
     2531,4291)(863,1486,2540,4305)(865,1489,2545,4314)(868,1495,2556,4331)
     (870,1498,2561,4340)(872,1502,2568,4352)(873,1504,2571,4358)(875,1507,
     2576,4367)(880,1516,2591,4391)(882,1519,2596,4400)(884,1522,2602,4410)
     (886,1526)(889,1531,2617,4434)(891,1534,2622,4443)(893,1538,2629,4455)
     (894,1540,2632,4461)(896,1543,2637,4470)(898,1547,2644,4482)(900,1550,
     2649,4491)(902,1553,2654,4500)(904,1557)(907,1562,2669,4525)(909,1565,
     2674,4534)(911,1568,2680,4544)(913,1572,2686,4554)(916,1577,2695,4569)
     (918,1580,2700,4578)(920,1584,2706,4588)(921,1586,2709,4594)(923,1589,
     2714,4603)(925,1593,2721,4615)(928,1598,2730,4630)(931,1604,2302,3916)
     (933,1607,1466,2509)(935,1611,2750,4662)(936,1613,2753,4667)(938,1616,
     2758,4676)(940,1620,2765,4687)(943,1625,2774,4702)(945,1628,2779,4711)
     (947,1631,2785,4719)(949,1635,2792,4731)(952,1640,2801,4745)(954,1643,
     2806,4754)(956,1647,2813,4765)(957,1648,2815,4769)(959,1652,2822,4781)
     (962,1657,2830,4793)(963,1658,2832,4797)(965,1662,2839,4809)(966,1664,
     2842,4814)(968,1667,2847,4823)(970,1671,2854,4833)(973,1676,2863,4847)
     (976,1682,2873,4864)(978,1685,2878,4873)(980,1689,2885,4884)(981,1691,
     2888,4889)(983,1694,2893,4897)(985,1698,2900,4909)(988,1702,2907,4921)
     (990,1705,2912,4930)(992,1595,2725,4621)(994,1711,2923,4946)(997,1716,
     2932,4960)(999,1719,2937,4969)(1001,1723,2942,4975)(1002,1725,2945,4981)
     (1004,1728,2950,4990)(1006,1731,2955,4999)(1008,1734,2960,5008)(1010,
     1737,2965,5017)(1012,1741,2972,5028)(1015,1745,2979,5039)(1017,1748,2984,
     5047)(1019,1751,2990,5057)(1021,1755,2997,5068)(1024,1760)(1026,1763,
     3009,5086)(1028,1767,3016,5096)(1029,1769,3019,5101)(1030,1770,3021,5105)
     (1032,1774,3028,5115)(1035,1778,3035,5126)(1037,1782,3041,5135)(1039,
     1785,3046,5144)(1041,1789,3052,5154)(1044,1794,3061,5169)(1046,1797,3066,
     5178)(1048,1275)(1050,1803,3077,5195)(1053,1808,3086,5210)(1055,1811,
     3091,5219)(1057,1815,3098,5231)(1058,1817,3101,5237)(1060,1820,3106,5245)
     (1062,1824,3113,5257)(1065,1829,3122,5269)(1068,1835,3132,5286)(1070,
     1838,3137,5295)(1072,1842,3144,5307)(1073,1844,3147,5313)(1075,1847,3152,
     5322)(1077,1851,3159,5332)(1082,1859,3172,5352)(1084,1862,3178,5362)
     (1086,1866,3185,5374)(1089,1871,3193,5387)(1091,1874,1985,3384)(1095,
     1882,3210,5413)(1097,1885,3215,5304)(1099,1889,3222,5433)(1100,1891,3225,
     5439)(1102,1894,3230,5448)(1104,1898,3236,5457)(1107,1903,3245,5472)
     (1110,1908,3253,5486)(1112,1911,3258,5495)(1114,1915,3265,5507)(1115,
     1917,3268,5513)(1117,1920,3273,5521)(1119,1924,3279,5532)(1122,1929)
     (1124,1932,3292,5554)(1126,1935,3298,5563)(1128,1939,3305,5575)(1131,
     1944,3314,5590)(1133,1947,3318,3114)(1135,1951,3325,5608)(1136,1953,3328,
     5614)(1138,1956,3333,5622)(1140,1960,3340,5634)(1142,1963,3345,5643)
     (1144,1569,2682,4547)(1146,1969,3355,5659)(1149,1974,3364,5673)(1151,
     1977,3369,5682)(1153,1979,3373,5689)(1155,1983,3380,5700)(1158,1987,3387,
     5711)(1160,1990,3392,5719)(1162,1994,3398,5729)(1163,1996,3401,5734)
     (1165,1999,3405,5742)(1169,2005,3416,5759)(1172,2011,3425,5774)(1176,
     2017,3435,5791)(1177,2019,3438,5797)(1179,2022,3443,5806)(1181,2026,3450,
     2848)(1184,2031,3459,5832)(1186,2034,3464,5841)(1189,2040,3475,5858)
     (1191,2044,3481,5869)(1193,2047,3486,5878)(1195,2051,3493,5889)(1198,
     2056,3501,5902)(1200,2059,3506,5910)(1202,2062,3512,5920)(1204,2066,3519,
     5931)(1207,2071,3527,5944)(1209,2074,2002,3411)(1211,2078,3537,1867)
     (1212,2080,3540,5963)(1214,2083,3545,5972)(1216,2087,3552,5984)(1218,
     2090,3557,5993)(1220,2093,3562,6002)(1222,2097,3568,6012)(1225,2102,3577,
     6026)(1227,2105,3582,6034)(1229,2108,3588,6044)(1231,2112,3595,6056)
     (1234,2117,3604,6070)(1236,2120,3609,6078)(1238,2124,3616,6090)(1239,
     2126,3619,6096)(1241,2129)(1244,2135,3634,6118)(1247,1940,3307,5578)
     (1249,2143,3647,6140)(1251,2147,3654,6152)(1252,2149,3657,6158)(1254,
     2152,3662,6167)(1256,2156,3669,6179)(1259,2161,3678,6192)(1261,2163,3681,
     6198)(1263,2166,3686,6207)(1265,2170,3693,6217)(1268,2175,3702,6230)
     (1270,2178,3707,6239)(1272,2182,3713,6248)(1273,2183,3715,6252)(1278,
     2191,3729,6274)(1280,2194,3734,6282)(1282,2198,3740,6292)(1283,2200,3743,
     5603)(1284,2201,3745,6301)(1286,2205,3752,6309)(1289,2210,3760,6322)
     (1292,2216,3770,6339)(1294,2219,3775,6347)(1296,2223,3782,6359)(1297,
     2225,3785,6365)(1299,2228,3790,6374)(1301,2232,3797,6386)(1304,2237,3806,
     6401)(1306,2240,3811,6409)(1308,2243,3817,6418)(1310,2247,3824,6429)
     (1313,2252,3833,6442)(1314,2253,3835,6445)(1317,2258,3842,6457)(1319,
     2261,3847,6466)(1321,2265,3853,6476)(1324,2270,3862,6490)(1326,2273,3867,
     6499)(1328,2277,3874,6511)(1329,2279,3877,2419)(1331,2282,3882,6523)
     (1333,2286,3889,6534)(1336,2291,3898,6549)(1338,2294,3902,6556)(1340,
     2297,3908,6566)(1342,2301,3915,6577)(1345,2306,3923,6589)(1346,2307,3925,
     6593)(1348,2311)(1350,2314,3936,6610)(1352,2317,3941,6618)(1354,2319,
     3944,6624)(1358,2325,3953,6639)(1361,2330,3962,6654)(1363,2333,3967,6663)
     (1365,2335,3971,6669)(1367,2339,3978,6680)(1370,2344,3987,6695)(1372,
     2347,3992,6703)(1374,2351,3999,6715)(1375,2353,4002,6721)(1377,2356,4007,
     6730)(1379,2360,4014,6741)(1381,2364,4020,6751)(1384,2370,1879,3205)
     (1386,2373,4033,6773)(1388,2377,4040,6784)(1389,2379,4043,6790)(1391,
     2382,4048,6798)(1393,2386,4054,6808)(1396,2391,4062,6820)(1398,2394,4067,
     6828)(1400,2397,4073,6837)(1402,2400,4078,6845)(1405,2405,4086,6857)
     (1407,2408,4091,6866)(1409,2412,4098,6875)(1410,2413,4100,6879)(1412,
     2417)(1415,2422,4114,6902)(1417,2425,4119,6910)(1419,2429,4126,6922)
     (1420,2431,4129,6928)(1422,2434,4134,6937)(1424,2438,4141,6947)(1427,
     2442,4148,6959)(1430,2448,4156,6972)(1432,2451,4160,6979)(1434,2455,4167,
     6991)(1435,2457,4170,6997)(1437,2460,4175,7006)(1439,2464,4182,7017)
     (1442,2469,4189,7028)(1444,2472,4194,7036)(1446,2475,4200,7046)(1448,
     2479,4207,7058)(1451,2483,4215,7069)(1453,2486,4220,7076)(1455,2490,4224,
     7083)(1456,2492,4227,7089)(1458,2495,4232,7097)(1460,2499,4239,7109)
     (1462,2502,4244,7117)(1464,2505,4249,7125)(1469,2514,4264,7147)(1471,
     2517,4268,7154)(1473,2519,4272,7161)(1475,2523,4278,7171)(1478,2526,4282,
     7177)(1480,2529,4287,7185)(1482,2533,4294,7195)(1483,2535,4297,7201)
     (1485,2538,4301,7208)(1487,2542,4308,7219)(1490,2547,4317,7231)(1492,
     2551,4323,7242)(1494,2554,4327,7250)(1496,2558,4334,7260)(1499,2563,4343,
     7275)(1501,2566,4348,7284)(1503,2569,4354,7293)(1505,2573,4361,7304)
     (1508,2578,4370,7319)(1510,2581,4374,7326)(1512,2584,4379,7334)(1513,
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