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a1-a4,1,2,10,49,265,1048,4248,15501,59043,201661,703834,2205535,6950152,19604088,54509075,135286964,325087905,697894372,1428417837,2635029368,4662751390,7709018091,12578873630,19728685036,30864995475,45823463319,67185227940,90036789217,115979811506,136889932403,153575992392,158020852625,154671927664,136899259750,117618949110,90614534710,68534787460,46830322334,31249733029,18610762483,10699664642,5409134530,2652466068,1144663237,488434575,185541248,69696340,23284791,7297134,2165914,661440,202346,38059,8109,2005,532,92,32,3,1,0,0
a1-a6,1,2,10,48,262,1049,4252,15537,59372,203066,710769,2224386,7028304,19734342,54977395,135286790,325473369,690276193,1413867861,2568554365,4542030465,7369931786,12013936974,18495624301,28948448329,42306264728,62212206761,82362615079,106658191203,124552602410,140364010118,142186583595,139318379549,120872569120,103839918094,78314893271,59074024789,39413471884,26096532333,15051169927,8496499926,4100511648,1942332965,784560987,320017435,112998648,41524980,13511130,4043828,1168946,378072,111106,20074,4045,1286,427,64,15,3,1,0,0
a1-a8,1,2,10,50,268,1142,4680,18818,72503,270966,953683,3253277,10310196,31463457,87621969,233222912,558592846,1271908439,2582241542,4995096899,8726893411,15033467910,24149461874,39490778702,60718887490,94093936393,134939393710,187761143745,234789229776,285752032298,311512129470,328169509489,310747404336,280251246916,233346080299,183322257723,134572763214,93834023264,60620392742,36790274734,20314204232,10358153448,4777843213,2046547530,800046500,294515090,97379515,30793733,8507914,2372754,568021,150351,24698,5555,1182,371,48,4,0,0,0,0
a1-b3,1,1,5,24,130,506,2026,7177,27036,90071,311892,950799,2978693,8148970,22557859,54146844,129895767,269293810,552513362,984094319,1752402550,2800012480,4605252152,6971103780,10999096930,15733526302,23268699506,29824649279,38642683516,43357749206,48629353095,47118972119,45985861671,37852843598,32305784621,22563601979,16629594719,10085015852,6449298645,3297796780,1795806051,750468116,333828706,113087194,44719338,12418436,4227015,1122410,383145,56618,17446,5662,2250,34,3,3,3,0,0,0,0,0
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a1-b7,1,2,10,48,262,1026,4160,14969,57150,191807,670744,2058146,6498699,17877403,49851942,120129671,289919779,601694370,1239167333,2202415975,3925350088,6245123658,10253285385,15460992222,24322556786,34718094494,51165237392,65641420473,84807334392,95527845594,107250861969,104960365343,102833007190,85997468422,73777562141,53046623904,39613443893,24971130299,16296824288,8784323133,4871573683,2177956166,1009731153,377706341,152062531,50344444,18376323,5975007,1755657,481234,171864,64073,12393,2233,791,274,31,4,3,2,0,0
a1-c4,1,2,10,46,240,920,3573,12650,46495,153225,517623,1563447,4800076,13074084,35744244,86123348,205836138,431644765,888243086,1609451532,2885922136,4690966734,7748121866,11851601861,18661383971,26816484090,39471354527,50964760035,66181056787,75269746151,85601591564,84776714271,84451923327,71650445740,62652944980,45496533150,34743379680,21979328420,14763679381,8029629267,4662899498,2129642916,1058848979,409685826,180176881,63442517,26258655,8963096,2931418,883612,322430,99526,17132,3357,1209,364,61,11,6,3,0,0
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a1-d7,1,2,10,49,263,1028,4129,14819,55992,187670,650302,1994726,6241576,17200457,47518728,114997516,274891990,573728719,1169886402,2090472655,3687479491,5874266252,9557208563,14350972403,22444842903,31753299668,46768664648,59444376310,77244802336,86251639347,98233358341,95306124125,94621290368,78476271689,68560425220,49178918109,37921430885,24048510949,16427525612,9015022975,5331748845,2467547196,1253267110,494927401,219344239,76586051,30825825,10182499,3257040,906498,321309,97669,18101,3225,1166,387,54,7,2,1,0,0
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a2-d4,1,3,15,66,260,967,3498,12255,41767,136202,427532,1286540,3667689,10003326,25420978,61556106,137104085,289915651,558404164,1023176690,1727226969,2837426245,4415345565,6798193244,10065309169,14548948172,20096335871,26195886575,31743512673,36589397737,38550529449,39228491207,36407955615,31866136862,25913413107,19484221695,13867795648,9234652929,5873609650,3406909434,1899001994,941103745,456393334,197146530,86911417,34972103,14868852,5549568,1861938,638750,238371,70276,11443,2791,1019,317,61,15,7,6,0,0
a2-d6,1,3,15,68,274,1022,3680,12781,43582,139236,436635,1272078,3630645,9487839,24140119,55620799,124277217,249445517,483788558,841653021,1434954435,2237561359,3535440870,5173068375,7847762051,10807776211,15472405061,19296657738,24450177008,27076670230,30007190979,29435697064,28761167332,24303144639,20895536309,15254996417,11535002655,7479740904,5077748367,2890908193,1730443071,851503863,445745090,192325330,90624743,35933406,15788931,5633622,1955897,609835,222994,68324,13057,2855,1034,246,38,4,3,0,0,0
a2-d8,1,3,15,69,285,1085,4084,14687,52446,174591,574365,1746917,5208234,14177198,37323895,89059177,203170344,419296033,818483429,1454311825,2468247052,3941779761,6178717531,9358445261,14072960023,20184655111,28469403924,36834564559,45308220040,51602116717,55065092326,55368337921,51736045300,44644809007,36589640935,27239281830,19648073069,13034607718,8433007804,4879456102,2764573864,1364683933,671077841,287798396,126652974,49721167,20286231,7419028,2471839,805674,283235,89020,16006,3281,1000,312,52,3,2,0,0,0
a2-e1,1,3,15,68,282,1078,4053,14610,52209,174815,575770,1760943,5252842,14373503,37886857,90831236,207713474,430654876,844130559,1507147320,2573606824,4122497806,6515567446,9895217306,15037857100,21671595555,30904060604,40309004605,50274560960,57788127338,62031009254,62898661064,59546149647,51650432027,42843570156,32076498111,23408408978,15575068316,10225070697,5925817960,3389466435,1672734814,825553391,351859275,154563929,60433903,24325842,8926325,2973614,990533,329438,98971,18312,3863,1011,347,64,24,11,7,7,0
a2-e3,1,3,15,67,267,991,3589,12456,42821,137571,433844,1271101,3642958,9571509,24430907,56554673,126584815,255024560,494700734,863503923,1472692804,2312050147,3656565211,5417884986,8223386248,11507731053,16428820690,20789611279,26146542420,29246353595,32098111213,31727513175,30717663128,26181683045,22354282403,16410409658,12303920518,7991254061,5360791923,3033618085,1788143121,867255018,447418727,189289412,87921020,34079592,14836347,5109785,1732541,496831,185070,49908,9133,1894,830,190,33,4,1,0,0,0
a2-e5,1,3,15,67,267,984,3535,12335,42238,137699,432585,1294593,3690554,9975427,25287244,60577265,134325670,280997628,537851376,975276149,1631494354,2645567591,4061493981,6160487333,8989105507,12841292242,17553849547,22780432729,27482136634,31717963146,33570777917,34392283029,31921192179,28113250304,22845537076,17261967952,12299670659,8212330324,5213809735,3035034012,1693887746,846977095,412996458,178572808,79174570,31429405,13047662,4679998,1528426,506528,182125,46871,7830,2063,675,154,26,15,6,0,0,0
a2-e7,1,3,15,67,273,1043,3879,13761,48753,160044,523898,1568046,4660766,12445296,32732159,76313857,174235595,349958244,684910746,1180308444,2009456942,3092682515,4862992252,7047649411,10659424306,14556826453,20776477135,25617331229,32154656851,35029631243,38368788832,36841169379,35452307006,29350380298,24998026083,18020418088,13713959594,8869116965,6128200292,3486638391,2130971802,1038963356,553769316,231115678,108138753,39828324,16800569,5483992,1811111,521455,177873,42622,8705,2135,673,184,26,8,0,0,0,0
a2-f2,1,3,15,66,284,1079,4158,14794,54038,177654,598561,1791439,5469479,14555162,39195689,90617694,210906770,417952974,829921720,1404993221,2418461154,3653593560,5810762152,8309948038,12740523436,17259016063,24965496108,30618496224,38704409549,41885481586,45600847139,43638782776,41926614951,34394169271,29192868823,20998120993,15828892871,10214478602,6960072438,3925797829,2338363490,1120934232,573850802,231797705,104029511,36383206,14807198,4771205,1580482,458763,162516,43940,9369,1949,639,159,33,4,2,0,0,0
a2-f4,1,3,15,64,246,933,3397,11969,41198,133638,422199,1249467,3583913,9502430,24228271,56501590,126138774,255440631,494031627,864764526,1468820503,2299352578,3615334433,5306960625,8011816078,11078408291,15791793108,19766857665,24949977772,27639239824,30515878042,29736274343,28774980723,23951496512,20277760647,14392614825,10624470301,6585911285,4309176559,2287938113,1299625280,578505214,281427831,106438381,46222739,16004489,6521455,2290824,733357,218460,86123,29475,5225,1089,431,108,13,0,0,0,0,0
a2-f6,1,3,15,67,267,1009,3676,12773,44352,142284,459429,1337504,3941526,10173987,26696002,59870187,137411473,265045898,526158670,870856321,1512623913,2227299856,3598804986,5010449828,7868421852,10415350798,15566676868,18792828984,24812273969,26571521604,30341631683,28396961759,28203547495,22572773935,19688397940,13601905543,10452578362,6395633508,4384801935,2339681352,1403730378,648058454,336714463,135504770,63124164,23436749,10223037,3727826,1230560,379141,134614,42237,8650,2114,690,207,17,1,0,0,0,0
a2-f8,1,3,15,70,288,1098,4145,15003,53804,179710,594331,1808360,5416414,14670885,38769880,91446535,209101431,423995971,828565256,1438372125,2435064380,3768738125,5875053118,8607806356,12883425413,17949839463,25257437936,31945059786,39293906976,43861208188,46559897989,45545157849,41943803948,35062476811,28178306674,20267888643,14176924334,9036395766,5566393053,3071040037,1629518689,760701662,341218736,135358645,54440136,20018543,7603415,2771226,844025,258773,87646,28527,5800,1165,330,114,6,0,0,0,0,0
a2-g3,1,3,15,67,285,1081,4158,14745,53953,177035,597463,1785068,5458102,14500856,39102280,90240149,210328663,415903902,827285851,1396576824,2409288473,3626806091,5785332827,8232703446,12675950006,17071826569,24831473344,30229373488,38456980648,41245652680,45239456780,42922774371,41527443346,33760222550,28874217602,20454741761,15573416105,9879154768,6811289184,3775673675,2280809217,1070093261,556479206,220146562,100784192,34710743,14409099,4640234,1555794,430537,152691,44336,9596,1624,536,157,33,2,2,0,0,0
a2-g5,1,3,15,69,283,1065,3945,14005,49604,163013,533092,1595221,4734519,12633237,33175087,77274932,176145581,353231663,690020978,1185858262,2014064741,3083338997,4826380690,6942360944,10434884533,14149216717,20054017895,24573437915,30601280783,33090298464,35740057755,33897826869,31910291180,25866499045,21282601604,14792425303,10612283172,6542559675,4170271905,2238801308,1240446905,567704859,269674062,106597955,45628733,16816500,6856471,2492708,779592,244794,90661,27769,5627,1155,375,113,6,2,0,0,0,0
a2-g7,1,3,15,70,288,1087,4104,14525,51753,169198,557999,1658551,4963464,13128368,34794903,80261907,185001496,367650055,727661360,1242439628,2142987820,3277616510,5221849299,7563445293,11581612503,15914064639,22931665900,28556947794,36006815969,39658112818,43313790912,42008860241,40035176619,33395399383,27854684735,20141947296,14811086609,9558481681,6289149410,3550485769,2032734811,978637669,482747100,199515191,86875715,32332627,12819371,4532808,1426632,432646,138947,46460,8914,1952,553,205,17,3,0,0,0,0
a2-h2,1,3,15,70,288,1106,4185,15127,54397,183088,606606,1869926,5608201,15443077,40843151,98165046,224712123,465030171,910522964,1616847736,2752256011,4388894453,6913989790,10503445436,15950077163,23065903952,32937804900,43143320395,53857905974,62149570293,67124193593,68084184791,64278025386,56043630625,46623578837,35608865518,26268608245,18071292886,11965724699,7217120341,4163035576,2139956128,1059603434,465483026,201150263,77441582,29487108,9759011,3013686,863814,244814,67726,11267,2232,607,196,33,2,1,0,0,0
a2-h4,1,3,15,70,288,1096,4131,14805,52884,175830,579202,1760542,5255834,14306755,37723424,90045148,205704438,424783068,830137811,1476641690,2509354016,4015662021,6304269448,9571060181,14415083704,20724654395,29285898095,37997999780,46958357185,53609582479,57615832361,57977785011,54496256551,47068145760,38849280761,28950731080,21026080539,13928600426,9039266645,5213272460,2953216660,1452812315,714192003,305768877,134862735,53490495,21877249,8052796,2694109,912619,310072,93101,17215,4120,1122,315,56,17,7,7,7,0
a2-h6,1,3,15,70,288,1103,4164,14996,53773,179276,593049,1801205,5397137,14604976,38611105,91074108,208342820,423135423,827529226,1441675279,2443571443,3801463114,5939032859,8754675761,13158277697,18442302028,26108420125,33227040281,41199981697,46306611509,49733425270,49132106185,46107515983,39123285515,32404230392,23987250755,17673330509,11785315992,7841813392,4610226302,2699586983,1366359624,693801127,302260522,134722172,51818485,20638813,6945687,2211872,654704,196194,50059,10076,2297,590,200,27,1,0,0,0,0
a3-a4,1,4,15,58,239,873,3300,11530,40903,132014,430969,1275710,3769287,10050042,26312468,61893839,140992556,288048774,563727483,993532140,1695172928,2679322057,4219610611,6316446176,9547122006,13579180962,19353044786,25112199704,31623443189,36381585830,39717691008,40532575726,39389744769,34747279605,29783307049,22929153684,17345138843,12048741916,8181958906,5013060076,2955843194,1547083920,783206492,353863039,157422442,65190321,27047578,10343167,3475336,1267106,470400,164456,31758,8048,2724,772,137,44,19,2,1,0
a3-a6,1,4,15,60,245,887,3367,11680,41592,133416,437534,1286994,3818032,10100926,26534090,61776846,141051594,284384069,557537360,967474473,1653360197,2567254313,4054812865,5968923480,9067654787,12719788444,18249711192,23442016877,29818540557,34082239938,37489330277,37879135340,37116306544,32402167261,28130763653,21657869392,16694889231,11662677227,8070807782,4992423275,3005874925,1599115144,822542601,374407246,168286648,68120689,27764804,9998100,3409908,1118908,371611,108896,23468,5543,1573,472,72,16,8,6,0,0
a3-b3,1,4,15,56,237,852,3280,11240,40548,128358,426774,1237390,3722537,9694731,25800390,59062373,136464072,270332347,535671008,913240688,1576656791,2413659399,3851219338,5593658840,8595027724,11851610272,17179222181,21479546886,27447246256,30235507224,33187941595,32146206895,31625610886,26260851113,22834265786,16575728797,12741470725,8314024033,5770791254,3319690290,2020876859,1000257086,523702871,221146619,102438739,38667429,16430825,5856841,2065120,671218,257082,78180,20776,4989,1446,336,76,18,7,1,1,0
a3-b5,1,3,10,40,168,617,2368,8183,29375,94215,311182,913866,2732254,7225295,19154927,44645299,102958753,208094678,412167691,717742352,1239808294,1934245759,3079041821,4529713848,6891463177,9598522477,13738206612,17390980839,21989045008,24666917053,26959780826,26671854211,26028794343,22114276531,18996224063,13991756333,10559823380,6971180984,4714353248,2736869062,1611770125,801988223,404264280,172432197,76524079,30165585,12704046,4837705,1594083,566021,230319,80529,18722,4443,1517,369,85,22,12,10,8,8
a3-b7,1,4,15,57,236,845,3194,10961,39027,123756,405472,1174411,3488950,9073916,23943765,54741279,126040299,249446240,494808052,842969292,1460695934,2231990547,3570712638,5165818921,7928036219,10884199434,15731687989,19647396043,25066770509,27766509606,30637475002,30076210593,29592610898,24994725361,21654277903,15975387665,12189736640,8090089133,5521850989,3212877638,1894004312,936081699,470374667,199876876,88522233,34319256,14193092,5309402,1751097,599992,229394,82942,16777,3869,1315,448,65,9,7,5,3,0
a3-c2,1,3,14,57,238,854,3280,11204,40488,128048,426183,1234158,3717679,9666030,25765930,58856603,136237388,269236996,534430531,908753487,1571507466,2399058484,3837414274,5560972015,8569048259,11786980537,17132205261,21368225396,27354513679,30055557730,33012868439,31979991156,31431048945,26142871025,22685177134,16476058883,12639591089,8254020935,5719261842,3294003107,1999517738,989461963,516625192,219314509,101357864,38244669,16235118,5833502,2051808,640265,244170,77294,20047,3651,1101,331,74,12,5,1,1,0
a3-c4,1,3,8,29,117,426,1572,5418,18786,59907,191363,558012,1622162,4275179,11121106,25977184,59420335,121169050,240763489,425757327,743867790,1179981503,1900210802,2824029857,4328799710,6046408626,8687523678,10991334006,13943276603,15615749612,17240085500,17095041187,16762100940,14282777675,12298703362,8963995792,6704883599,4299144834,2845476524,1578001738,894940120,408518594,190627664,70692883,27886060,8893523,3089967,846200,234285,61303,17003,1689,255,41,15,0,0,0,0,0,0,0
a3-c6,1,4,15,56,223,784,2907,9752,34114,106158,343434,973299,2864131,7266219,19036656,42311545,97048430,186332043,370080682,611157825,1065988983,1572872739,2549947538,3555764165,5582358238,7397337862,11059482181,13388905765,17836024241,19173807087,22099164401,20835509188,21326251747,17249434912,15593531500,10946657699,8709975992,5449334139,3879334556,2124128558,1312552299,616387074,325603124,133215495,63037134,24564357,11199266,4321633,1505551,512589,213165,76206,16231,3871,1454,443,65,16,7,5,3,0
a3-c8,1,4,15,57,238,870,3302,11487,40847,131491,430249,1266943,3749127,9922083,25988746,60462113,137647883,277188591,541780932,938531183,1597630670,2478547051,3889521228,5714343400,8602231289,12009715636,17040645928,21623222314,27064269274,30332913231,32832840727,32378811809,30998117115,26260719021,22132448140,16243625883,11980057293,7861702805,5178026182,2987573264,1713859722,844715671,413734212,175407021,76091924,29945526,12287964,4735726,1564214,537338,210714,80823,19032,3880,1177,366,82,20,11,11,9,0
a3-d1,1,4,15,57,236,876,3310,11535,40860,132049,430773,1275891,3769662,10060445,26353365,62087015,141596900,289724482,567817972,1001574846,1711489402,2704179049,4261763829,6364155824,9620162034,13635400627,19426260736,25074752805,31502000223,36033279775,38932256744,39603832721,38524772787,33677034556,28908645195,22023952025,16681152542,11411629306,7799190752,4694836555,2789844659,1428792277,728802723,322442494,145194499,58589813,24606095,9161974,3178372,1100161,417230,138157,28226,6326,2234,667,124,22,9,1,0,0
a3-d3,1,4,15,58,231,811,2925,9741,32893,101511,316841,900869,2561001,6623825,16879185,38987668,87589636,177639600,347072393,612799234,1055792409,1681815714,2684141272,4026013777,6135141119,8654618171,12378353181,15801678390,20014309345,22641145410,24942586834,25019949553,24706551333,21431049775,18774940702,14202228070,10967303297,7409401504,5143170178,3062929309,1866497291,959654413,507970950,225758621,106408836,43060214,19065926,6824068,2459304,813396,321318,93453,18663,4853,1947,422,63,16,8,0,0,0
a3-d5,1,4,15,58,231,814,2945,9916,33636,105375,328111,949866,2681767,7075845,17821652,42023751,92933220,192445895,368879661,664246052,1117262909,1802426492,2786741229,4206924861,6182237313,8790338261,12107030877,15677806773,19141731237,22127242276,23643272348,24330113083,23168172971,20592057380,17308678760,13296307459,9814436864,6740581596,4450973136,2687114461,1555635603,807037359,403951664,181715900,81472451,33594472,14232339,5330250,1815640,639204,254137,72338,13620,3902,1579,351,64,16,11,4,4,0
a3-d7,1,4,15,59,240,857,3192,10811,37958,119490,387005,1117514,3281634,8534220,22266264,51034618,116212571,230845306,453017205,774426233,1328179953,2029661858,3218576708,4636369117,7079064323,9646419414,13940005447,17275146804,22173597158,24399973646,27278860252,26634236284,26552519651,22385124184,19834201421,14688175344,11628110094,7816840612,5599127673,3330867895,2091556821,1070804266,581303368,255995853,121345258,47358455,20576346,7270430,2575934,808350,305001,91175,20021,4700,1650,454,62,13,9,7,1,0
a3-e2,1,4,15,58,235,855,3204,10990,38652,122855,399221,1161068,3418415,8939232,23347479,53740591,122294353,243907178,477339457,819354771,1398925788,2148572706,3382220426,4901241801,7394821385,10140223450,14426768624,17942472000,22562676729,24778785832,26844202757,26182356458,25667074078,21535287727,18802979583,13818704024,10751603049,7171314447,5091603978,3015320099,1890686671,964763012,523921416,228675553,109088031,42244418,18541294,6422746,2261937,716931,286874,86308,19529,4800,1796,431,88,15,11,9,2,0
a3-e4,1,4,15,56,217,772,2843,9722,33148,104890,328464,955501,2705075,7128220,17952175,42111690,93007938,191260282,365924253,653888369,1096634177,1753871110,2695489986,4028986665,5872421939,8267297296,11288869526,14473099588,17536872690,20057714569,21370387938,21864951810,20756657008,18333209392,15370670347,11699647687,8603215105,5835481284,3842987232,2296404062,1327950708,684403560,344792559,155601721,70874602,30029025,13186830,5124448,1738440,642334,257255,80494,15125,4068,1665,524,103,30,17,6,2,0
a3-e6,1,4,15,59,238,831,2967,9737,32780,100474,311671,877790,2473784,6307720,15894121,36019580,79974543,158625463,307009568,528975728,901796984,1387024597,2184334629,3147712830,4762777838,6501866171,9340791254,11703195626,15049203216,16856330760,18969117254,18855509220,18855018133,16131924004,14233770305,10573200840,8213799295,5446033878,3787788303,2211312280,1346687884,679842991,360690361,158743348,75427971,30683741,13684401,5015012,1724620,572016,219009,63917,12711,3137,1149,239,33,6,2,0,0,0
a3-e8,1,4,15,58,239,868,3278,11288,40070,128418,419624,1234318,3645750,9668347,25288561,59240463,134769058,274546394,536232835,943158680,1604161711,2530286052,3961558255,5914439066,8865820880,12572590520,17715525554,22851774281,28355453238,32363674467,34916664519,35324908846,33784811895,29362206992,24793433954,18678118550,13941661785,9420865018,6317292321,3757914382,2206627203,1126627290,571548561,251809982,112912926,45522655,18918055,7012525,2404196,821235,308655,94920,19852,4409,1467,394,89,16,12,4,4,0
a3-f3,1,4,15,57,224,801,2932,9852,34060,105497,338101,958718,2810010,7156496,18788483,42141164,97324022,189437477,379306975,636825254,1118884401,1683550857,2748076865,3909526272,6172714224,8323362115,12486821052,15343165732,20495166237,22337286273,25918288116,24833953450,25575698714,21039974405,19195407968,13764461635,11080442468,7084880586,5097554945,2855361873,1786481542,856501575,457812358,188264485,88622276,33601107,14802307,5549083,1949533,657958,268346,92819,20833,5186,1735,491,73,15,7,2,1,0
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a3-f7,1,4,15,57,242,872,3382,11483,41760,131305,438748,1260685,3811798,9821762,26281221,59311976,137705228,267342100,531096075,879386349,1512544452,2213069046,3491851087,4793434765,7269210429,9430216376,13512875633,15965941478,20111037398,21114266459,23110295810,21648218135,20828396432,16802317044,14402452722,10241499476,7885508503,5091400490,3549943877,2026199196,1238285961,603916876,316613943,132371806,61222618,22806772,9852889,3466039,1184106,365723,133682,38331,7652,1605,509,145,31,8,3,0,0,0
a3-g2,1,4,15,59,242,871,3291,11161,39614,124552,407495,1174038,3484552,9029473,23806737,54285818,124803325,246418264,487427593,828236256,1429135638,2176309639,3462421003,4990550261,7616863014,10423926462,15004254171,18660799683,23711406805,26075189598,28730259637,28055975418,27635648629,23239710101,20257943597,14860174368,11454369615,7593806051,5260056388,3070414753,1849341031,925282778,479123710,207525806,94921015,37252711,15641552,5977273,2037689,673494,259630,97060,20903,4304,1482,472,65,8,8,2,1,0
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a3-g6,1,4,15,59,244,872,3382,11405,41682,130620,438052,1255448,3806925,9785219,26249867,59102130,137528734,266410932,530265736,876585112,1509819383,2206623485,3485068156,4779768790,7253839436,9405150671,13482624639,15935311014,20067648049,21071122415,23056746640,21586184355,20771215322,16742773369,14351080392,10198432471,7851340610,5067603985,3535460893,2019405985,1234840662,604588599,316482975,132570793,61155526,22825033,9797151,3463723,1186019,369555,136095,37574,7558,1647,535,146,31,6,1,0,0,0
a3-h3,1,4,15,60,245,892,3384,11654,41490,133080,436447,1285384,3818023,10141117,26700738,62583569,143370669,291777082,574052297,1007442817,1726972239,2722015792,4302346803,6424380328,9737007221,13788347751,19677229390,25329552953,31900383997,36319980488,39523452049,39791526007,38598455159,33484689924,28805046795,21950565762,16721287112,11508909017,7890727565,4805493333,2881409890,1510281745,777286701,348231288,156850684,62934764,25578898,8933119,3033497,1011173,354677,109123,24769,6392,1758,511,106,31,11,9,2,2
a3-h5,1,4,15,60,245,887,3359,11475,40672,129366,422184,1237123,3659417,9695903,25425389,59573625,135914469,276870657,542499029,953584023,1627758437,2565461933,4036177049,6016443402,9068287592,12808778930,18135430618,23241133345,28918088190,32747799166,35320181053,35521113112,34041178020,29401807341,24878240821,18645919391,13937576742,9392471710,6290858696,3721957023,2181120060,1103605511,558087158,244034619,109436081,43852820,18351096,6798238,2345984,818209,305557,92074,19551,4577,1567,416,93,21,10,4,4,0
a4-a5,1,4,18,80,328,1241,4606,16596,57839,191959,612847,1836416,5268676,14003947,35458981,82435451,182040256,366681785,699362278,1217837423,2040641066,3195203892,4944082796,7278220238,10766331659,15042702377,21079675951,27172525051,34321097975,40177971453,45177830287,47304699909,46950368501,42250176696,36745063887,28552471882,21753610979,15082411191,10184912616,6169913382,3634316273,1906446210,974864553,441574903,199345838,81568083,33369649,11923886,4049348,1332156,470821,139093,30877,8926,3007,758,93,40,15,7,7,0
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a4-b4,1,4,18,77,313,1176,4355,15581,54364,179281,574965,1723541,5012130,13415094,34760684,81823663,186727695,383082466,763546016,1353567095,2350981430,3664424165,5778902127,8328926052,12493053955,17163221381,24613776308,31815908392,42169848260,48928496433,58579213390,60010041110,64162824627,58022937343,53858074366,42642453497,34572490832,23791490226,17320410191,10441327737,6670529614,3483217440,1941497315,864155854,423094399,167438628,73643220,26475980,11835186,3575106,1265396,397125,168485,33102,7812,1817,852,127,31,0,0,0
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a4-f6,1,4,18,78,306,1139,4069,14156,48138,153241,480631,1369494,3896133,9773354,24794053,54089491,120827169,227449505,442737733,717321796,1230084843,1773809694,2820356366,3803724244,5842817679,7488087355,11062482932,13181194999,17756124643,19265899006,23064802873,22234730502,23383636692,19221443658,17720494313,12432402740,9984017410,6116228736,4303816009,2256398022,1364825420,605216228,310371170,116446337,52285773,17986868,7513800,2717304,885114,278197,115135,41692,9451,2164,858,306,30,3,2,1,1,0
a4-g3,1,4,18,79,331,1240,4715,16652,59502,193213,632804,1845773,5428050,13941790,36115144,80508578,181329667,347369621,672912763,1104498351,1867672831,2729288706,4236051352,5767862717,8534982403,10942422581,15337661894,18052944729,22670589550,24178547893,27038262143,25964318499,25599430215,21007897130,18199740683,12804572276,9690123224,6039596749,4069766708,2196920978,1298714966,601490104,308158652,122209065,55935107,20212155,8807345,3250119,1142493,373161,152572,56032,14237,3803,1414,434,59,5,5,2,0,0
a4-g5,1,4,18,79,319,1200,4402,15608,53955,175498,556928,1631020,4658596,12064353,30452557,68796629,151621563,295878572,563632104,947495850,1583985232,2379641750,3660824448,5125242505,7530215830,9949670724,13915960238,16950606598,21539649373,23868295529,27197653204,26977951101,27131336564,22976821799,20307046965,14774244019,11485496489,7434919026,5151540624,2917921103,1780736692,876428834,468720364,199846493,94897292,36752426,16238859,5944666,2065170,690244,267200,77333,15859,3552,1237,317,50,11,5,3,0,0
a4-g7,1,4,18,81,331,1243,4614,16284,56639,183436,586260,1704222,4904642,12586527,32062366,71723957,159822295,309019686,596195326,995099241,1687615304,2526448930,3944733805,5533136088,8239396710,10961807313,15473351886,19018932355,24212666406,27066572707,30640020331,30636737650,30521658637,26131362397,22774596951,16704290777,12683196295,8209857589,5472031950,3056858543,1752609052,833224632,406274844,164079710,69650011,25234430,9740293,3459738,1093208,342295,122706,45042,9990,2204,766,314,34,8,2,1,1,0
a4-h4,1,4,18,82,334,1261,4688,16723,58188,191669,612030,1825913,5246540,13932003,35326912,82296151,181811459,367773333,700607745,1227296129,2050654683,3246389575,5002394124,7469984923,10964525538,15495943505,21437768233,27733344518,34402494556,40096606335,44422103267,46425727048,45500507229,40868422233,35320621436,27438738479,20880760392,14481835521,9803697843,5942581172,3522037800,1849267797,955089160,435685621,199719548,82519551,34023684,12321449,4261751,1449476,501407,161039,36829,11066,3604,1086,163,51,23,1,0,0
b2-b3,1,4,20,91,379,1394,5365,18529,66626,211097,698021,1994309,5921006,14930065,38910285,85137622,191950373,360760664,696077445,1121018078,1883382945,2710361026,4202447203,5707024438,8517384777,10984552706,15560765845,18388533831,23068108233,24313401488,26448160807,24946873164,24008026857,19388121550,16447025435,11636701094,8699403231,5602393697,3815773154,2178515100,1325960088,661467361,353465450,153165502,73245918,27790973,12179454,4146388,1447244,401793,158817,44456,10428,2027,866,232,72,15,9,4,0,0
b2-b5,1,4,20,92,364,1339,4975,17264,60346,192367,617917,1780526,5144550,13144082,33407760,74449965,164200715,315803501,598041555,989882922,1636908734,2421712359,3690344522,5125205233,7493945816,9855029808,13667423025,16467369675,20394279997,21998547832,23895171208,22936187939,21993790277,18021652855,15122111774,10734657214,7874605074,5035217291,3328655231,1876710002,1101572345,542787374,280353608,121242704,56617375,23062139,10260298,4011240,1388507,505832,196243,58473,10667,2786,996,217,43,23,8,1,1,0
b2-b7,1,4,20,92,372,1377,5146,17792,62803,199339,645534,1848439,5385789,13652954,35075624,77516877,173121400,330207740,633955865,1041606346,1745995166,2569155366,3968149180,5502677560,8152493900,10746851870,15067690805,18224021480,22676147331,24587083300,26776313529,25852503565,24719418497,20497913615,17207684314,12438799464,9187898072,6001861967,3999688907,2313877530,1369045489,690799928,361345708,161057000,76163379,30965421,13396112,4948077,1701168,544061,192803,63395,13387,2860,916,297,52,10,7,5,2,0
b2-c4,1,3,13,61,243,889,3264,11084,38117,119211,376297,1065165,3028894,7658168,19317202,43008491,95052630,184340674,353098584,593954377,1000330309,1510546102,2346449254,3323954632,4927086212,6595267657,9220494641,11294297285,14098913798,15492508653,17003128771,16709291557,16241441114,13707772005,11715236241,8534559306,6366220095,4147796533,2778257110,1590989903,948225181,473860938,248838953,109985930,52639226,22058885,10209480,4116466,1451554,532301,223259,78248,13779,3274,1308,384,51,9,3,3,2,0
b2-c6,1,4,20,92,356,1284,4656,15722,53987,166504,527439,1459769,4187957,10213103,26009478,55154969,123025176,224945570,434677705,683989309,1161366642,1633479980,2577593055,3428039653,5239447263,6654525162,9718643251,11384576679,14890741912,15677224972,17842616966,16667015041,16666718321,13304618551,11675901863,8061812622,6173074868,3808636271,2620014451,1433848122,878821641,424307352,229748009,98473234,49020645,19824781,9430663,3607054,1300123,422619,171742,56879,12569,2857,1040,287,51,13,9,5,2,0
b2-d5,1,4,20,90,342,1231,4449,15275,51430,163090,501933,1453811,4030600,10487003,25751122,59300274,127422929,256315393,476391701,831583723,1356194798,2116177507,3169853376,4609298697,6564724926,8993855725,12050614245,15123369555,18092249897,20426369832,21513768800,21719114723,20208736832,17433835933,14162493169,10467012810,7375567085,4835795890,3032750690,1724259441,952802587,463067359,221728571,91998245,39614231,14985936,6157908,2234376,730300,241470,97441,30668,5453,1318,453,107,15,1,0,0,0,0
b2-d7,1,4,20,92,364,1342,4988,17228,60167,191134,613161,1762236,5085129,12965693,32959662,73362055,162093160,311652332,592112882,980394514,1625953806,2401876887,3671133826,5080140049,7461296677,9770684045,13634310477,16349199961,20401614679,21924668755,24017385921,22909079441,22005484959,17882538611,15013678053,10515067956,7725589985,4832830400,3189518491,1751469513,1025870538,491362139,253256370,107077171,50270684,20084621,9071306,3492012,1281571,448399,169334,51036,9760,2251,717,221,62,14,9,0,0,0
b2-e6,1,4,20,93,363,1307,4659,15598,52184,160502,492252,1370032,3795687,9443762,23289311,51121554,110895652,212439529,400712677,665876162,1103578687,1633530744,2492966629,3442116513,5033435729,6569320537,9138457133,10968167874,13718724871,14834934494,16366112603,15790673432,15334971569,12651974146,10752785400,7627677974,5658490185,3571287681,2373772451,1313001575,776404350,374228443,195598849,83872811,40210139,16411554,7512659,2917561,1028685,354271,138437,41113,7579,1781,724,172,29,14,10,7,1,0
b2-f7,1,4,20,93,381,1401,5389,18487,66818,210276,695795,1971234,5848496,14606509,38008375,82334472,185309633,344746804,663851592,1056899048,1763889277,2482028069,3795507818,4996230005,7353212527,9188806846,12886384736,14783740353,18405098592,18952576392,20593665489,18861582351,17906350468,14064946124,11797597711,8134826768,6099563197,3836705904,2654941891,1494391643,934527502,460967549,253750551,109149402,53306667,20163110,8989902,3054854,1081176,316126,108428,27851,6516,1279,327,82,16,3,2,0,0,0
b3-b4,1,1,1,4,19,101,395,1484,5282,18557,61947,197276,599381,1708694,4636968,11556758,27361206,58509227,119017099,217102073,385683811,628387343,1036610957,1587702511,2505418602,3608983362,5331310968,6954228591,9062429571,10422168236,11682741163,11848526185,11806385614,10231524614,8967552409,6765748443,5255531872,3551820806,2491396784,1479952071,905448276,462462377,247267404,111282110,53327126,22574020,10445375,4219882,1522015,583587,248976,84080,16241,4329,1646,436,85,38,22,4,3,2
b3-b6,1,1,1,5,24,126,502,1878,6840,23913,81232,256421,792833,2230671,6155780,15064742,36193816,75508985,155198125,274251568,490469999,770981722,1281185584,1896170327,3015618216,4194285265,6219523874,7817718297,10146258270,11235360488,12438807908,12152397402,11955062496,9992784438,8705049688,6434278996,5020287633,3342634483,2378571126,1398075045,870089866,438670084,237054112,103433875,49553416,19172538,8563713,3009764,1096570,340460,126018,35932,9047,2248,821,184,35,16,9,6,6,0
b3-c3,1,1,1,5,24,122,462,1719,5979,20682,67766,213454,641063,1807447,4872954,12021046,28443857,60284639,123092921,222841967,399678943,647625537,1085205757,1651854205,2657201359,3781045806,5679808931,7242080784,9551137406,10684270422,12051406452,11826412169,11883556380,9981592476,8876602448,6485156261,5081660584,3304351132,2353474034,1345516241,839833667,413876181,225395193,96439636,47179578,19122058,9085422,3451659,1261725,447250,195361,66163,13599,3942,1664,491,70,14,8,6,1,0
b3-c5,1,1,1,5,24,126,482,1767,6018,20444,65257,201265,584839,1616844,4223215,10296562,23730086,50211685,100522228,183238754,322903251,525548308,857902690,1302861774,2024483801,2892477175,4206097522,5452403192,7023179289,8075935258,9020740289,9177126504,9121866270,7926727338,6918835394,5164893839,3955488533,2626068420,1813802726,1056807152,637799347,320238262,169617802,75684567,36299282,15422308,7221799,2896240,1046625,390694,173053,53294,10047,2857,1281,258,34,15,10,8,6,0
b3-c7,1,1,1,5,24,124,500,1891,6854,23837,81184,255625,792436,2225353,6155361,15046427,36220732,75492030,155458516,274342576,491686160,771290029,1285158111,1894687471,3024918451,4186147343,6236356804,7790351102,10160859337,11177863577,12442289642,12106719049,11954927941,9969528962,8711217853,6409663383,5017406620,3327852397,2375198473,1393668461,869851197,438180535,237468083,103486848,49743967,19123252,8547697,2989963,1090367,325617,122340,35669,9002,2093,772,184,36,15,8,6,6,0
b3-d2,1,1,1,5,24,124,485,1813,6402,22459,74470,237006,716340,2042577,5521337,13771882,32495823,69515692,140842693,256723016,454161503,738890531,1214705822,1857734215,2918908888,4194722150,6143081928,7954326786,10246443699,11654747576,12810463790,12806754076,12565805060,10668329286,9167084414,6741589267,5091071241,3341470648,2286332051,1321307308,792655260,396806754,209545520,92890920,44419881,18793541,8786628,3596918,1304302,513106,224206,76289,16237,4543,1671,404,73,20,11,9,5,0
b3-d4,1,1,1,4,18,88,342,1268,4346,14973,48195,152141,444812,1268239,3327152,8415864,19426242,42771633,85536292,162523254,285855121,486821805,792278678,1260882616,1936656332,2885565557,4096834495,5509737253,6834180556,8146186661,8692659506,9166995898,8637788132,7786581263,6389390386,4922640797,3501016336,2356155682,1480713839,855241234,454470847,213491701,93853075,36442357,13697084,4559474,1493556,456484,118418,30692,6710,1085,103,23,8,8,8,8,8,8,8,0
b3-d6,1,1,1,5,24,124,464,1732,5865,20244,63949,198340,569326,1579258,4071592,9946622,22632254,47819180,94721584,171670931,299923893,484451145,788555196,1191271299,1854843501,2628360674,3833381230,4923720132,6355208473,7238574814,8114131841,8190036527,8109834780,7013215209,6113214779,4553597840,3488695145,2294124109,1573063778,901495119,537677364,262584012,136661248,59380879,28063093,11844016,5574174,2303744,816707,306681,131544,45079,8064,2307,930,239,39,17,17,10,3,0
b3-e3,1,1,1,4,17,91,347,1268,4355,14797,47818,148707,437865,1224898,3248285,8039192,18830250,40477147,82266120,152206096,272196375,451729528,752044107,1170989317,1856107633,2704853682,3984155125,5231570540,6795972682,7881648877,8888053930,9104496182,9107444377,8006376513,7073079223,5396723476,4204525352,2841777644,1978364412,1168159041,706316622,356567000,188358770,83746107,39854503,16784189,7788096,3106765,1125388,427462,189083,59385,11335,3605,1436,244,28,10,3,0,0,0
b3-e5,1,1,1,5,24,121,443,1661,5710,19991,63455,203228,586588,1695583,4381868,11185794,25379372,56136591,110111657,208939447,358900551,604993924,958905708,1504401704,2257212697,3321495859,4631621380,6186518699,7607409366,9025949789,9655008157,10189097804,9664262753,8716140827,7249194526,5623956550,4107417259,2826181786,1847835802,1111171633,632951473,323667987,160188723,71191782,31602161,12944123,5615959,2237276,744933,292560,129958,37481,6432,1986,841,188,22,11,5,0,0,0
b3-e7,1,1,1,5,24,124,476,1802,6312,22110,72730,230210,690992,1955508,5261895,13018218,30645254,64915137,131349728,236220618,416871038,665092315,1088657208,1624257548,2537578084,3540967294,5161407240,6504605830,8327473240,9270255838,10288973132,10151006933,9906828328,8384759212,7224871442,5310280244,4053996682,2673775248,1838361683,1065994143,639876627,317135100,165900367,72761642,34371667,14234068,6623463,2661257,953482,360806,151488,48413,8738,2457,947,247,41,19,16,1,0,0
b3-f4,1,1,1,5,24,122,450,1690,5773,19932,63055,196060,566334,1573695,4084006,9974389,22797210,48101191,95484727,172815147,302127273,487322516,793345284,1197641291,1865194262,2641789209,3849465560,4934767733,6361085979,7230839544,8087677409,8181851127,8129793222,7042083379,6174187955,4611861183,3556637360,2350864275,1625873612,941224300,568374821,281459694,149228204,66446456,32083872,13845005,6651455,2782061,1006509,375978,161322,55280,9627,2366,988,251,35,8,7,6,0,0
b3-f6,1,1,1,5,24,127,485,1787,6017,20470,65145,197858,579970,1558485,4135980,9649033,22664363,45177344,92341592,156589285,281283147,423117834,711986523,1011371236,1645102427,2214477565,3394244175,4183432206,5663208326,6200133125,7218497883,6959962666,7095973559,5861289024,5269495355,3796189552,3031987959,1955658209,1401035591,801464942,502577689,251697441,138771445,62378450,31152530,13243183,6462524,2640923,952930,335066,142072,51585,10969,2909,1046,285,31,11,4,1,0,0
b3-g3,1,1,1,5,24,126,502,1880,6847,23910,81296,256980,795457,2246430,6206867,15286052,36760247,77343335,159047707,283910758,507706882,808201710,1343269656,2018261570,3210411082,4534462781,6718786084,8542334034,11081255935,12369407263,13714757730,13498901865,13329259262,11244376154,9855848693,7339906486,5766523747,3860782314,2754693990,1627047072,1009971916,508660568,272745681,118088603,56210979,21320052,9406387,3208740,1160234,355680,138098,39410,9657,2423,840,187,27,8,4,1,0,0
b3-g5,1,1,1,5,24,127,491,1846,6435,22446,73550,231997,695848,1962188,5282105,13026389,30681500,64826336,131190939,235464169,415343100,661054134,1080836396,1610911989,2518338125,3520946392,5142077996,6487803283,8312481019,9251735564,10275252124,10102976149,9850311942,8275928730,7101483260,5163681418,3921223659,2552471720,1747189874,1002989669,603405210,298594829,157954301,69497794,33263241,13820931,6488275,2626554,939220,354686,148784,47482,9072,2432,959,246,42,18,11,1,0,0
b4-b5,1,6,27,105,408,1455,5347,18011,61451,191155,597819,1686281,4722755,11816728,29116840,63743092,136892632,259741221,482175427,791981597,1295976260,1923961266,2914605244,4087511902,5916561986,7875827963,10794947558,13195586027,16265719610,17841784022,19198340713,18860696225,18364412188,15396552056,13206240618,9627205149,7292686032,4795722363,3298249795,1904798699,1156892148,581388083,310924653,136144318,64868228,25654336,11448878,4052196,1462324,499291,206248,62673,15035,4314,1747,342,52,15,2,1,0,0
b4-c4,1,6,27,103,384,1322,4670,15178,49726,149521,449392,1231661,3340937,8227498,19873196,43377668,92354327,176741263,328576389,549785230,909577093,1386736304,2137204615,3083599393,4538811970,6190764219,8574323727,10668000466,13221697701,14719289092,16057912125,16055394877,15796458152,13592148880,11811576257,8805158657,6742310393,4499927481,3100128820,1810326997,1095846703,555892695,295731452,131373530,63158458,25994691,11917584,4390622,1644232,578088,246540,76176,16148,4525,1917,502,74,22,15,5,0,0
b4-c6,1,5,20,76,290,1017,3776,12501,43044,130908,414588,1139690,3251059,7902992,19972337,42380314,93968214,172675141,332957189,528800485,900913763,1286445062,2035762924,2741395507,4167196954,5338226718,7735115109,9147092925,11971621257,12725274490,14505864004,13799869712,14144708850,11470629353,10351566002,7271323374,5739177563,3587251688,2540276457,1386618921,853858285,404563214,216208531,89840002,43085682,17033675,7924259,3183709,1147749,412264,177852,65014,15687,4035,1481,491,48,12,6,5,0,0
b4-d3,1,5,20,75,281,994,3563,11763,38998,118505,359230,991115,2701402,6653659,16112074,35021417,74781388,142199288,265617600,440970333,731916601,1099798263,1690098731,2386465546,3490901420,4665809060,6446921979,7908286563,9804221525,10808928398,11782295766,11629819957,11318468793,9526472351,8115049740,5805868461,4286252204,2677626368,1738259930,924639904,514380537,227465670,105830224,39484604,15980228,5252361,1961958,646058,193445,50793,16946,4944,1104,81,37,15,5,0,0,0,0,0
b4-d5,1,5,20,76,295,1063,3788,12667,41786,130463,394956,1127472,3064797,7865368,18971469,43199932,91584528,182905734,337569906,588229215,959657624,1508180110,2262817081,3326148622,4710534550,6539661297,8686928257,11079081441,13173757831,15132010144,15788516968,16297420525,15236071794,13404906529,10952645699,8249214193,5876157748,3943733350,2517476844,1479184252,834199604,428592315,214886283,98797298,45818594,19997487,8989658,3570786,1221499,475879,200858,64658,12532,4043,1543,371,39,20,10,5,2,2
b4-d7,1,6,27,101,392,1395,5143,17228,58986,182463,571543,1603402,4493987,11190966,27603258,60217421,129538995,245355279,456649957,749589647,1228679244,1815717309,2747817084,3810542939,5503190506,7227100444,9895348904,11965946206,14749761522,16074325922,17447309710,17003347582,16474846634,13656659759,11583262662,8269892012,6146799142,3926244191,2618284998,1462495171,857101833,417467370,215271964,92696743,42976589,17472693,7820912,3091678,1080036,396735,172418,60925,14491,4102,1419,411,60,21,11,11,8,0
b4-e4,1,6,27,104,391,1364,4809,15871,52056,160053,480383,1355213,3659259,9303720,22304845,50380850,106171758,210348949,385671441,666769258,1080585684,1685838740,2518856234,3683851488,5221317829,7212643919,9598048138,12179579717,14518934645,16647697614,17526238369,18166082467,17178619396,15305833751,12738217401,9828981450,7194122562,4965684865,3252874842,1954475291,1119658916,581297154,291401804,132327783,60025859,25047751,10876279,4042529,1417090,517548,215277,60752,11713,4037,1526,353,61,27,15,3,1,0
b4-e6,1,6,27,102,377,1301,4617,15071,49481,148964,446665,1223175,3304538,8107053,19501637,42339793,89830954,170841121,316645985,525343140,862275557,1287486957,1949788463,2724512363,3931628669,5200865573,7125785224,8713911322,10810764999,11961969812,13132627599,13031741732,12793799777,10833768986,9343564996,6765315814,5103434243,3259456323,2191847625,1208308255,710470231,334998999,171403226,69961589,32065171,12207289,5391407,2052912,688875,238479,106498,34829,7554,1779,680,159,9,1,1,0,0,0
b4-f3,1,6,27,104,391,1355,4809,15562,51703,154721,476512,1288803,3589133,8608148,21344735,44890310,98062201,179267219,341568744,541508263,913140154,1302383266,2042575381,2750529779,4156288389,5336539143,7698118216,9141252960,11914713916,12771360937,14558535382,13920365729,14208027271,11592741495,10427478739,7374087296,5836265216,3685738302,2614817933,1439025607,889223901,424443579,227473384,95655929,46164172,18602517,8762455,3479299,1247155,435128,195335,74349,16590,4056,1641,550,80,21,19,10,0,0
b4-f5,1,6,27,104,391,1351,4724,15212,49454,147319,439829,1195450,3228360,7868700,18965485,40938227,87207877,164995904,307420091,507399983,837820163,1243043489,1898064863,2636991998,3846206003,5068399483,7023503603,8560081594,10739481052,11849977496,13132257701,13010952733,12890989103,10900568244,9466262129,6892407425,5245320436,3396973534,2309914041,1307358539,782288508,385588153,204892900,90236696,43774636,18128032,8431420,3227675,1180039,415842,174624,56678,12406,3227,1306,301,43,24,17,2,0,0
b4-g4,1,6,27,104,399,1417,5174,17170,58345,179271,561045,1571265,4417983,11017275,27344072,59841659,129708168,246596722,462292567,761362628,1255270505,1864185700,2845089383,3989725588,5832547007,7752096095,10728540774,13054266381,16216834307,17684452450,19314238302,18848649636,18463234102,15465763241,13395125081,9834424699,7598498962,5066603216,3543862064,2078610511,1278382685,651296311,351695214,156782374,75177153,30078856,13424859,4857207,1763757,606492,244058,76498,17798,5357,1796,536,90,49,35,23,12,0
c3-c4,1,8,34,124,460,1560,5561,17847,59220,173756,525950,1407340,3843006,9203672,22238048,46998438,99326856,183256835,335316248,537967901,866480272,1253834736,1863845712,2541897180,3607431451,4655106541,6247215081,7375431081,8792781619,9265435253,9748495393,9305842110,8787376441,7297030332,6145591244,4433838639,3286823763,2141073469,1444798163,843806035,512459933,266165441,144370079,67738211,34209760,15510301,7651298,3225543,1229644,507447,223203,75520,14865,4606,1782,403,37,14,10,3,2,2
c3-c6,1,8,34,127,487,1629,5803,18286,61349,177231,548570,1429615,4003287,9231777,22916796,46139987,100240613,174891449,329360403,497513759,824987519,1122463587,1728503309,2234930583,3320412068,4094646620,5810489235,6624324088,8379795950,8582644976,9458734066,8683418160,8533689960,6777737715,5939349183,4130392993,3188195252,1997339928,1396863606,784643757,490883328,247647698,137810846,62715962,32322255,14128884,7092479,2861670,1120375,422267,181993,60165,13965,4129,1501,334,48,16,10,7,0,0
c3-d5,1,7,27,99,387,1330,4786,15455,51660,154910,473945,1297868,3577868,8801418,21454925,46646067,99169598,188112268,344987636,567014647,910045021,1338861166,1966851168,2708601832,3761786884,4883865297,6376913900,7593194207,8772647386,9363418302,9520137585,9245285988,8448766434,7092319376,5728337621,4124809331,2905330748,1875789093,1193222440,682915852,385535049,191613414,94749366,41524655,18987609,7936692,3590335,1427767,511608,201659,90560,30467,5485,1633,606,144,19,10,6,6,6,0
c3-e6,1,8,34,125,467,1545,5480,17001,55688,158709,475582,1236831,3357609,7844544,18954570,39212705,83337496,150827476,278791518,438350723,711799988,997995925,1488039034,1950031692,2777119252,3442558162,4670221046,5345379399,6482095262,6680889454,7146594099,6670652809,6372337994,5133061251,4339127968,3002767320,2220797561,1372254143,919366577,506969527,305398357,150185321,81370526,36756824,18860337,8520984,4333690,1856692,706639,286036,127366,41480,7713,2210,909,223,20,12,8,1,1,0
c4-c5,1,8,36,136,504,1802,6374,21291,69381,212885,633825,1755956,4693611,11553522,27394638,59238842,123354993,231939866,420100968,684858798,1096345547,1603694378,2361107240,3222889717,4508710513,5819998259,7736907491,9223474346,11088350237,12023794539,12961822989,12821535991,12443722351,10618568930,9131933402,6718747248,5059771019,3329972289,2250066213,1298615987,780489093,395994381,212300775,95772726,47111572,20113389,9495835,3557188,1335086,461188,188032,50866,10555,2860,1234,237,28,6,2,2,0,0
c4-d4,1,8,36,136,504,1787,6307,21090,68419,212002,627428,1774426,4717103,11973313,28217927,63338942,130881276,256361952,459688221,781241330,1233920129,1877241666,2713882172,3841168697,5248405648,6997249839,9010824100,11049534018,12811106979,14287694587,14824244846,15140770668,14158759791,12514735875,10370214921,7928749774,5769497500,3967030572,2598556061,1570516791,909455806,479026260,243483576,112952688,52586392,22871836,10260865,4001022,1444499,563371,224198,62756,11611,3572,1295,259,38,9,1,0,0,0
c4-d6,1,7,29,111,425,1551,5585,18924,62871,194792,588348,1638595,4426842,10907855,26023651,56097891,117171107,218996786,397232311,641704263,1025244176,1477261263,2163006502,2896423086,4025949636,5097441913,6755011921,7927186943,9568108412,10255280336,11134638941,10877223660,10614751344,8918194034,7683712819,5508569500,4132797915,2619041919,1750413234,962544621,564683065,266385388,135665573,55284339,25466040,9703513,4288184,1622300,564447,193398,80932,28837,5763,1399,647,171,18,2,2,2,2,0
c4-e5,1,7,29,107,415,1533,5488,18755,61849,195081,585887,1670318,4474844,11356576,26838134,59920567,123693158,240190167,429355510,721617211,1133147617,1696628967,2430022452,3373332095,4561146134,5985668415,7669593920,9326986692,10832031614,12048752033,12563192018,12745067548,11902554952,10360925559,8517452585,6342786736,4543812387,3028039313,1945846754,1140882441,650489194,334626234,169126465,77144469,36120102,15626355,7046298,2767593,958960,367360,149015,43505,7671,2164,807,191,20,11,6,2,1,1
c4-f4,1,8,36,140,532,1891,6567,21577,69580,210589,623209,1706992,4555725,11120627,26398068,56706689,118447035,221611322,403387468,654790303,1051393730,1525296030,2251202615,3044897583,4282859389,5477358265,7331026389,8674859487,10539051854,11371322547,12391219330,12161163194,11890968870,10093121379,8759850093,6453758588,4931360018,3261118571,2239363949,1307244023,795805346,408373609,219974383,100107192,49556701,21388528,10115847,3835494,1456162,531732,216594,64873,14041,4227,1662,346,53,21,16,5,0,0
d4-d5,1,8,40,146,516,1880,6470,21877,69851,218696,641322,1836309,4850589,12450017,29189372,66331043,136469890,271206217,484465115,838519897,1321079526,2049070888,2939026781,4206740502,5667162286,7623634168,9709396284,12117479034,14146767717,16347325205,17421848896,18514279687,17711025544,16195355803,13666556165,10725215391,7910849730,5536092659,3625109924,2208343263,1276979340,681501770,349362166,164586627,77538814,34400616,15390025,5798515,2077989,727988,275024,70092,13589,4146,1456,301,63,30,17,1,0,0