b21 := (1,133,179)(2,153,202)(3,187,246)(4,211,278)(5,223,294)(6,89,123)(7,254,
     332)(8,77,107)(9,302,395)(10,310,404)(11,339,445)(12,350,459)(13,370,485)
     (14,33,49)(15,414,542)(16,423,554)(17,28,42)(18,469,611)(19,495,644)(20,
     504,656)(22,52,74)(23,561,728)(24,57,740)(25,586,32)(26,61,86)(27,619,
     798)(29,666,856)(30,681,873)(31,692,889)(34,743,319)(35,764,831)(36,775,
     994)(37,807,1037)(38,818,1051)(39,197,428)(40,94,130)(41,861,1105)(43,
     896,1150)(44,915,1174)(45,177,384)(46,943,1209)(47,110,150)(48,961,548)
     (50,1004,1284)(51,1013,1295)(53,1058,1349)(54,1077,1372)(55,1086,1384)
     (56,105,236)(58,1127,1432)(59,138,184)(60,1158,451)(62,1192,1294)(63,660,
     1527)(64,262,347)(65,148,323)(66,1244,1570)(67,1261,1592)(68,158,208)(69,
     1301,1640)(70,461,1652)(71,503,1674)(72,167,220)(73,1357,1707)(75,1391,
     1747)(76,261,443)(78,1417,1779)(79,1442,1811)(80,1218,1820)(81,574,1234)
     (82,1477,1851)(83,1485,1871)(84,192,251)(85,1514,572)(87,1144,913)(88,
     419,1925)(90,1579,1969)(91,1019,1992)(92,1608,2003)(93,479,1018)(95,1662,
     2072)(96,1682,2097)(97,1686,2101)(98,719,924)(99,1715,2138)(100,439,1092)
     (101,228,299)(102,1761,491)(103,398,520)(104,1768,2204)(106,724,2222)
     (108,1149,2274)(109,1553,140)(111,1859,1181)(112,647,834)(113,1877,907)
     (114,1905,2365)(115,866,1111)(117,258,139)(118,1841,2396)(119,1937,2403)
     (120,1947,2416)(121,266,348)(122,1974,2445)(124,2009,711)(125,1194,2510)
     (126,366,789)(127,2049,1348)(128,281,364)(129,2078,2238)(131,2051,2330)
     (132,353,2609)(134,800,2641)(135,2158,1998)(136,1989,2670)(137,2182,2686)
     (141,2231,1984)(142,2242,2754)(143,2259,2772)(144,314,411)(145,1549,2803)
     (146,448,583)(147,2295,2815)(149,2315,2839)(151,2181,2488)(152,2346,2870)
     (154,2368,2897)(155,1232,1053)(156,2376,2904)(157,936,2910)(159,545,707)
     (160,2423,1613)(161,2433,765)(162,2453,1397)(163,1741,1899)(164,2468,
     2160)(165,355,466)(166,2494,3029)(168,2524,3063)(169,2543,3082)(170,2135,
     2629)(171,2571,3115)(172,2511,3123)(173,326,822)(174,375,492)(175,2619,
     3174)(176,2094,3182)(178,2647,3127)(180,2679,3243)(181,442,264)(182,2691,
     3257)(183,2701,3268)(185,2717,3290)(186,1005,3297)(188,2762,3346)(189,
     2773,3358)(190,2780,3365)(191,2793,3380)(193,2818,2379)(194,2825,916)
     (195,1476,2530)(196,2220,2665)(198,260,1578)(199,2884,3467)(200,435,570)
     (201,413,1398)(203,424,3298)(204,2913,3502)(205,2919,3507)(206,2927,3517)
     (207,2938,3530)(209,1921,3560)(210,2422,1031)(212,1887,2549)(213,3007,
     3607)(214,560,3295)(215,1632,2034)(216,3037,3639)(217,3050,1990)(218,474,
     616)(219,2099,3672)(221,3099,1759)(222,3102,309)(224,3129,3736)(225,2334,
     499)(226,3141,3747)(227,2888,496)(229,3186,3796)(230,841,2873)(231,513,
     3821)(232,751,3463)(233,3226,2652)(234,509,663)(235,2344,3859)(237,1677,
     960)(238,3276,1240)(239,1179,964)(240,523,440)(241,3301,2986)(242,3312,
     1205)(243,2080,2850)(244,530,689)(245,3349,1918)(247,3285,3975)(248,528,
     1114)(249,556,426)(250,3395,3709)(252,558,4016)(253,3420,917)(255,422,
     4050)(256,3444,4056)(257,1235,4061)(259,3472,4079)(263,3484,551)(265,
     3160,1254)(267,3510,4116)(268,3519,579)(269,3538,4142)(270,1236,3931)
     (271,1854,2162)(272,589,761)(273,1718,1257)(274,3576,4182)(275,1164,3643)
     (276,598,772)(277,2661,2407)(279,325,3048)(280,3621,4219)(282,3642,697)
     (283,1286,1621)(284,3660,811)(285,3515,4026)(286,3678,4272)(287,1481,
     2846)(288,623,804)(289,3712,2928)(290,951,388)(291,3720,4318)(292,632,
     815)(293,1934,755)(295,2068,4141)(296,3767,3220)(297,3775,4372)(298,2219,
     3018)(300,1523,2074)(301,1379,734)(303,3832,3769)(304,3840,1622)(305,
     3848,4440)(306,1668,2020)(307,3864,713)(308,670,441)(311,2797,1225)(312,
     521,1522)(313,2448,4173)(315,3647,4002)(316,3940,2789)(317,2493,3523)
     (318,2816,617)(320,1603,872)(321,696,342)(322,3941,3289)(324,1664,4573)
     (327,1574,1732)(328,710,912)(329,4034,4612)(330,3279,4617)(331,4045,3937)
     (333,4058,1233)(334,2804,4636)(335,3569,3162)(336,1268,2813)(337,731,940)
     (338,4084,1812)(340,712,642)(341,2372,1991)(343,4097,2993)(344,3988,453)
     (345,4105,3232)(346,747,903)(349,3339,1995)(351,784,4714)(354,4165,601)
     (356,3861,2417)(357,1128,3811)(358,3480,4753)(359,1089,2746)(360,1415,
     2711)(361,2300,3548)(362,780,1001)(363,4224,4786)(365,4229,1654)(367,
     4244,3559)(368,4264,3095)(369,3803,1723)(371,4286,4844)(372,4031,4854)
     (373,4265,4864)(374,2145,620)(376,4316,1435)(377,4323,4887)(378,1071,
     1141)(380,1666,3922)(381,2851,3336)(382,585,1055)(383,4208,4912)(385,
     4380,1708)(386,4386,881)(387,2198,2153)(389,836,1074)(390,4382,4965)(391,
     1083,2147)(392,4419,4969)(393,845,947)(394,4429,4057)(396,3957,4804)(397,
     1449,540)(399,2965,3137)(400,715,2487)(401,3875,5011)(402,1519,4339)(403,
     1278,2472)(405,3230,5027)(406,4492,4608)(407,1709,4001)(408,4412,4729)
     (409,876,1124)(410,2951,2470)(412,4529,5069)(415,3529,1116)(416,3853,
     3015)(417,824,5086)(418,3492,3823)(420,3563,1323)(421,901,580)(427,4599,
     5129)(429,1306,2038)(430,1387,1801)(431,2303,4178)(432,1186,1824)(433,
     927,1189)(434,4630,3495)(436,4162,1711)(437,3460,4835)(438,4404,3610)
     (444,1917,5170)(446,1784,4534)(447,3350,3142)(449,4672,977)(450,2426,
     3841)(452,3838,525)(454,3960,674)(455,3331,5216)(456,4709,2393)(457,968,
     1241)(458,4719,5233)(460,2268,3711)(462,3882,5240)(463,4737,5246)(464,
     983,1258)(465,4748,5257)(467,4242,3318)(468,1148,2267)(470,4767,1201)
     (471,4490,2218)(472,1767,2130)(473,1195,5277)(475,4799,1919)(476,1733,
     3203)(477,1213,1271)(478,4818,5312)(480,4831,3828)(481,1595,4985)(482,
     622,2970)(483,1025,1309)(484,1601,3474)(486,862,1876)(487,1109,2194)(488,
     3397,1970)(489,1712,654)(490,1039,1326)(493,4892,4984)(497,3300,4268)
     (498,4874,5382)(500,1516,1566)(501,2914,4587)(502,1063,766)(505,4945,
     3292)(506,4948,5424)(507,3077,5426)(508,4190,529)(510,4410,4464)(511,
     4971,3779)(512,4974,5130)(514,605,1266)(515,4750,4332)(516,1091,603)(517,
     4993,793)(518,594,1706)(519,2076,814)(522,3313,1979)(524,3533,5213)(526,
     1085,1834)(527,988,894)(531,1594,3656)(532,2201,3586)(533,5042,4582)(534,
     5049,2382)(535,4884,5443)(536,5058,698)(537,1132,1439)(538,954,3551)(539,
     700,820)(541,5080,3405)(543,2657,5527)(544,3211,1382)(546,1773,2207)(547,
     1486,2826)(549,3167,4868)(550,2357,2990)(552,1162,1474)(553,4368,4434)
     (555,5121,5552)(557,3499,1935)(559,1177,1491)(562,5147,5137)(563,5151,
     3542)(564,3217,1630)(565,2905,3518)(566,4632,946)(567,4042,1002)(568,
     1197,1511)(569,5162,2885)(571,2760,3087)(573,2952,588)(575,640,1183)(576,
     3466,1900)(577,1214,1517)(578,2662,2188)(581,1220,1539)(582,2363,2606)
     (584,3846,1256)(587,1923,2179)(590,3752,5085)(591,2236,3207)(592,2763,
     4649)(593,1090,3904)(595,1959,5178)(596,1249,1577)(597,1137,4904)(599,
     3565,4738)(600,5249,5640)(602,2029,1009)(604,4246,4813)(606,5206,1562)
     (607,932,2252)(608,2926,5172)(609,1146,1605)(610,5055,2492)(612,1633,
     5043)(613,3468,3739)(614,4585,5662)(615,5287,2044)(618,5300,5681)(621,
     2159,4972)(624,2312,926)(625,5330,1431)(626,4073,5705)(627,1495,4751)
     (628,638,1377)(629,1499,4334)(630,1315,1659)(631,1758,675)(633,1550,5491)
     (634,1371,2635)(635,5359,2071)(636,3219,4880)(637,4514,5393)(639,864,
     1679)(641,3670,4458)(643,1355,2972)(645,4267,2611)(646,5385,3341)(648,
     5001,3863)(649,2810,3019)(650,5410,5758)(651,2137,4763)(652,1956,3457)
     (653,5176,5448)(655,3291,2973)(657,1839,5348)(658,2355,949)(659,2307,
     5779)(661,1375,1727)(662,4555,2333)(664,2119,4192)(665,1890,5562)(667,
     790,3754)(668,4619,5252)(669,5454,3319)(671,1012,5795)(672,745,4006)(673,
     5462,2751)(676,4307,2006)(677,1367,1658)(678,5472,1418)(679,1406,1365)
     (680,5340,1304)(682,737,1928)(683,5485,1409)(684,4086,5634)(685,5488,
     2083)(686,726,1281)(687,1421,1783)(688,3908,1769)(690,4494,1596)(691,
     5497,5820)(693,5505,4771)(694,1941,5509)(695,5471,2132)(699,2715,4481)
     (701,1687,1459)(702,1454,1825)(703,2170,5842)(704,1464,1819)(705,1555,
     2342)(706,1763,3649)(708,4730,3723)(709,5540,5683)(714,850,3089)(716,882,
     3651)(717,1480,1857)(718,1161,5536)(720,4557,3090)(721,4129,2874)(722,
     4008,4852)(723,2692,802)(725,3147,4860)(727,3953,4206)(729,1462,4538)
     (730,3384,4388)(732,5576,2501)(733,1702,5837)(735,4879,3885)(736,2359,
     5882)(738,1518,1902)(739,3200,3812)(741,890,3441)(742,3760,2976)(744,
     3448,1509)(746,3490,1538)(748,1600,4775)(749,2713,5401)(750,1742,2474)
     (752,1544,1381)(753,1647,2728)(754,2282,3982)(756,2943,4319)(757,1182,
     5829)(758,5047,5898)(759,1557,1944)(760,4794,3509)(762,5623,4337)(763,
     5624,5292)(767,2515,1963)(768,1983,3580)(769,2210,2688)(770,1305,1650)
     (771,1123,2215)(773,1242,5775)(774,3813,4497)(776,5344,1531)(777,4361,
     2309)(778,2644,5185)(779,4111,2112)(781,4359,3378)(782,3891,4477)(783,
     4891,4053)(785,1807,1310)(786,1490,2129)(787,1612,1185)(788,5466,2232)
     (791,806,5402)(792,1901,5626)(794,1624,2025)(795,2077,4583)(796,3923,
     3149)(797,4278,5695)(799,3414,5964)(801,1446,4716)(803,982,2046)(805,
     4613,5654)(808,4255,1729)(809,5101,1560)(810,4194,2869)(812,4220,5247)
     (813,1802,3249)(816,3932,4696)(817,1119,1272)(819,4917,5316)(821,5419,
     1408)(823,5690,2284)(825,1806,5864)(826,2446,3315)(827,4103,2081)(828,
     1689,2107)(829,3956,5549)(830,4447,5366)(832,1697,2117)(833,5749,3475)
     (837,1988,4501)(838,1084,5468)(839,5646,5373)(840,1166,4656)(842,2249,
     1972)(843,1719,1370)(844,2902,5508)(846,3899,4379)(847,4357,4119)(848,
     3744,1938)(849,974,5604)(851,1152,1546)(852,3822,3299)(853,2400,2127)
     (854,1737,2167)(855,5790,4204)(857,3043,1180)(858,1289,2886)(859,5031,
     1849)(860,1447,2180)(863,3925,4027)(865,4581,5104)(867,5706,3269)(868,
     5548,1427)(869,2008,3536)(870,3598,4200)(871,4014,5460)(874,4554,5767)
     (875,3574,3653)(877,3306,1814)(878,4958,1880)(879,1327,6033)(880,2969,
     1636)(883,1789,2229)(884,5095,2607)(885,2632,5849)(886,2326,1100)(887,
     1798,2239)(888,4918,5067)(891,5830,2864)(892,2531,3425)(893,1396,2256)
     (895,5835,5530)(897,2709,1740)(898,4745,5336)(899,2756,3553)(900,1190,
     3427)(902,3122,2185)(904,1302,4955)(905,3073,3890)(906,1838,1178)(908,
     5311,2538)(909,2726,2781)(910,1843,2293)(911,4449,1751)(914,1607,1581)
     (918,2724,5140)(919,5262,4424)(920,2829,5376)(921,2065,2725)(922,1862,
     2313)(923,5866,4869)(925,1021,1343)(928,2350,4287)(929,5777,5048)(930,
     2992,4575)(931,2452,5839)(933,3944,2261)(934,1881,2339)(935,4091,2463)
     (937,1131,5808)(938,1534,957)(939,4400,5769)(941,1336,1047)(942,4658,
     3732)(944,3079,5223)(945,2005,4284)(948,1283,4677)(950,5281,4467)(952,
     5893,2045)(953,1913,1672)(955,1692,1014)(956,5222,5098)(958,1219,2383)
     (959,2960,2331)(962,2168,3805)(963,2627,2896)(965,4500,1500)(966,5665,
     1730)(967,1438,4576)(969,2192,3872)(970,4295,3111)(971,4760,3406)(972,
     5194,3550)(973,1912,3476)(975,1952,1910)(976,5418,5502)(978,2962,4565)
     (979,1960,2430)(980,3252,4611)(981,5727,1041)(984,5232,3120)(985,2630,
     4639)(986,4504,1106)(987,2011,5923)(989,1121,2450)(990,5386,2673)(991,
     1410,3876)(992,1985,2296)(993,2512,3047)(995,1797,4000)(996,3360,3967)
     (997,1330,4517)(998,3390,1611)(999,1776,2465)(1000,5375,5575)(1003,5933,
     5404)(1006,4934,4941)(1007,1433,4003)(1008,5152,4570)(1010,1450,4803)
     (1011,2012,2491)(1015,1726,5518)(1016,3027,1808)(1017,5512,2014)(1020,
     3695,4682)(1022,5958,4635)(1023,2036,1341)(1024,3146,1290)(1026,2157,
     5806)(1027,3235,1788)(1028,3750,1695)(1029,4675,2954)(1030,1669,5056)
     (1032,5726,4692)(1033,2659,4273)(1034,3696,4036)(1035,2060,2551)(1036,
     1868,5986)(1038,4621,4896)(1040,3262,2722)(1042,4392,2749)(1043,4761,
     1598)(1044,3277,2164)(1045,1710,1915)(1046,2695,1482)(1048,3857,3045)
     (1049,1117,2576)(1052,3234,1700)(1054,3354,4618)(1056,4358,4508)(1057,
     5255,2480)(1059,3259,6097)(1060,5132,3540)(1061,2332,3100)(1062,5989,
     1416)(1064,1191,3972)(1065,4528,3728)(1066,2821,4415)(1067,5165,5261)
     (1068,5998,5658)(1069,2121,2616)(1070,2151,1614)(1072,1369,2624)(1073,
     1335,2066)(1075,2542,2140)(1076,1405,2139)(1078,5333,4101)(1079,4519,
     2042)(1080,1909,5003)(1081,1587,3293)(1082,2226,5016)(1087,3452,2425)
     (1088,3418,4826)(1093,4341,5427)(1094,4667,4022)(1095,3839,4054)(1096,
     4040,4580)(1097,2171,2676)(1098,2508,1886)(1099,4375,3214)(1101,1334,
     1835)(1102,2594,3159)(1103,2039,2689)(1104,3066,2633)(1107,1756,2802)
     (1108,4814,2819)(1110,1673,3800)(1112,5437,3531)(1113,2409,4443)(1115,
     5608,5235)(1118,5455,3740)(1120,2459,2651)(1122,1874,3337)(1125,3854,
     3726)(1126,1298,1265)(1129,4177,1616)(1130,4746,2457)(1133,2120,3193)
     (1134,3831,4546)(1135,2466,3628)(1136,2265,1936)(1138,4684,4694)(1139,
     2247,2528)(1140,5351,5992)(1142,2767,1750)(1143,6041,2834)(1145,1852,
     3106)(1147,5451,1777)(1151,4594,2720)(1153,3436,6023)(1154,5793,5345)
     (1155,2277,2790)(1156,4048,1170)(1157,6048,1637)(1159,1691,1793)(1160,
     3238,4364)(1163,5785,1649)(1165,3317,2758)(1167,2197,1452)(1168,2298,
     1339)(1169,2672,5714)(1171,3409,2387)(1172,2301,2823)(1173,1260,5173)
     (1175,5078,4964)(1176,2069,4916)(1184,2319,2844)(1187,2324,2336)(1188,
     2831,6138)(1193,4707,2420)(1196,3486,2881)(1198,2496,1506)(1199,2893,
     4646)(1200,2618,4733)(1202,2923,5880)(1203,2351,2877)(1204,1520,5936)
     (1206,4422,5783)(1207,1216,1792)(1208,1968,6094)(1210,5493,4317)(1211,
     1942,3521)(1212,2225,3928)(1215,3088,1817)(1217,6072,5607)(1221,2669,
     5884)(1222,3245,3028)(1223,5685,3134)(1224,5874,6140)(1226,1353,3256)
     (1227,3250,2849)(1228,5697,5772)(1229,1331,2917)(1230,1263,3919)(1231,
     4739,4563)(1237,4280,4678)(1238,4850,5189)(1239,2405,2935)(1243,5873,
     3164)(1245,3176,2126)(1246,2894,2918)(1247,5009,4523)(1248,4893,4110)
     (1250,4741,4297)(1251,1754,1264)(1252,3556,3169)(1253,6063,3622)(1255,
     2435,1701)(1259,2978,5106)(1262,4841,5560)(1267,3025,4779)(1269,3481,
     1532)(1270,5574,5313)(1273,4137,5024)(1274,2953,5613)(1275,4513,5006)
     (1276,3483,4913)(1277,2424,1545)(1279,1287,2102)(1280,2759,5265)(1282,
     2479,3014)(1285,4099,5015)(1288,5907,5499)(1291,4052,1512)(1292,5657,
     5675)(1293,2499,3035)(1296,3247,4533)(1297,5818,1655)(1299,5899,3348)
     (1300,2694,6112)(1303,3215,5912)(1307,2529,2640)(1308,1755,4755)(1311,
     2306,2699)(1312,5688,4371)(1313,4742,4932)(1314,4308,6124)(1316,6107,
     5999)(1317,3819,3544)(1318,2584,3184)(1319,5970,2471)(1320,4427,4531)
     (1321,5449,4276)(1322,2556,3096)(1324,3699,3280)(1325,3708,3498)(1328,
     1585,4397)(1329,3847,5161)(1332,3722,6012)(1333,5703,4383)(1337,3669,
     5335)(1338,2583,2131)(1340,3143,1916)(1342,1738,1785)(1344,1583,3674)
     (1345,5813,4124)(1346,5225,5641)(1347,2591,3138)(1350,1356,4511)(1351,
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     5046)(4298,5537,4817)(4300,5563,5481)(4301,4433,6052)(4320,5930,5013)
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     5010)(4503,6149,4821)(4545,5218,5668)(4567,5643,6054)(4572,5862,5474)
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     5859)(4946,5660,6096)(4953,5954,5465)(4956,5725,5461)(4959,6010,5642)
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     6150)(5320,5914,5431)(5321,5913,5593)(5368,5612,5583)(5399,5735,5606)
     (5456,5895,5603)(5463,5721,5718)(5486,6067,5931)(5510,5715,5573)(5543,
     6066,5983)(5553,6071,5852)(5569,6065,6009)(5667,5782,6087)(5816,6051,
     6137);