bf_P 	= new Array(
1077730734,2168449824,8942562716,3734626502,7045019173,12822839064,1638944963,13861954362,9535498005,6820724059,12356254032,6932161809,11873894642,4826800952,8424313232,16887852573,1904139816,7120715518);

bf_S0 	= new Array(
15383630628,7639792048,2267267176,13407763572,10150562064,12790607805,375020003,3679450895,16821793631,11808692314,6944947381,9525080940,11800561619,14748691234,14509536131,9991652658,480187179,15140529280,9606465911,15724542343,7898283956,12187228710,3904232514,839072710,16697531722,17906804878,27087984106,8397461772,32210102772,32723242068,31637353736,
8439734211,30734672384,26009370607,25247695452,28807886277,2255728558,33484290403,68419253421,27729495908,28100998127,47528119803,36865009332,19857530903,29482510251,50063497000,8248538847,15991031616,23136958062,2832908296,47034840156,8390768851,16877212937,46063364850,1309203746,26056730927,7023240991,8934386124,12668953216,31913694362,20976392614,
21654927574,66231323855,22479842815,682282504,51247810853,40359680599,83850229077,116808855670,51684128415,37447684562,62098545743,55405216480,65180612059,16053154645,51452046383,10966787316,69032131738,133105468743,8862964223,16371875872,107017440766,107656355860,11831221660,36806123723,115515039888,96722969951,63961905255,62250104244,104835573299,36037841539,
59497640849,52977173903,40822463206,111252437607,51584528344,89499203260,115459758622,107501328768,93547045776,107436777872,96758041217,70923575735,125793361104,100792566802,99078700403,92295323700,83808074201,130259904849,10755761573,144740902386,84888011469,109778163425,174182144697,152834532266,127854329355,64234131970,270263824471,170859812994,245826733622,248781019515,
16843125321,93144107623,189829751928,91660154051,11152684951,232142283146,78323764742,82910697401,56923528058,39113399434,247677932206,251993596510,18227897670,21687383492,214092067581,175032608395,103616679321,164870191323,132498249949,90958131067,159864049415,141787604619,168540208995,260272923225,124596524062,120978567070,235791404401,202384101707,224172883936,190492091228,
159187852774,244283418813,212946460767,122232465789,149167250941,272951023319,194559618990,143325779562,370310598710,285474403529,10442432865,517466449280,282321328179,381939426539,404665469717,88757585064,413050663490,442839495963,83645164870,146083137022,384466263735,487256992363,171963342754,67707119731,470876633585,57434293292,185100854709,252128102037,100792345699,56957060586,
529616094268,286387548428,513552565685,521568460601,355455658467,144291200026,321721359627,381153498187,490453990687,269797720757,372333539387,329647049340,208200444245,22154150129,342926165059,400247428342,535849509903,56556655651,336477212243,349112352387,62570927253,123500351714,2747733268,116563518592,43634662111,319924366284,389813897911,117180420630,13666060719,311086523648,
95507722626,458955439785,34482725990,215754539693,340235126650,401053964335,312214091438,29150196625,449634021895,339560037766,458704487031,347534660900,247544458712,282150155009,42333666281,397359430565,191247157327,384379582665,150705257051,120563417172,30279708791,57165848387,489615083742,370227923427,536402476904,490666081663,93204627351,174708961994,489942590623,102304198401,
549710387067,170684749326,288866766346,281495920429,280339509632,107940193401,157397820859,57467557191,82364764460,491880828584,82901133340,457191601199,427043374884,60349021269,92089437996);

bf_S1 	= new Array(
101905551670,160957818496,515059159839,77053175363,311523791019,47196641788,417994448362,951210695690,355626423742,150021870655,591938243604,87350236443,56516009053,1048599776972,625437532078,543254376793,643579139581,599741081977,576771197933,72567699988,170556074225,139919307031,496530485793,45525455486,241970080578,479321080405,904662669772,530839138735,149959419749,932860880987,570122553805,
241195536258,955974763973,602845079651,981140186648,1939370674550,1676031414272,773643460017,656275664878,1768950151155,2138713441758,1065603117264,192027829217,2093094540780,2015423159228,1027253122460,2282238440851,2048655277163,1496789245917,3616861665498,3239440861156,450822894930,808741668836,3237142481600,2430563247454,632986253934,1875441292511,2973987744563,3042387085459,4386634881643,1909402492124,
4339994679589,2124881632594,362021976236,666712754663,282932432657,1029589586465,709117286671,426182925623,2212339898668,2904229875956,364896360838,2238918719596,2833394340346,2758465258169,3105793495654,3109686155416,786379883237,1629159296607,2769163284962,265270733917,478649091466,821335388290,4248795143821,3434066389380,2143920961386,1220685335202,3810486880105,4065124183840,1927575511605,2785135377807,
2610245457290,710265900418,355202587896,1806425766849,233715181294,3481359794703,4235816883457,3992995813181,3730064687042,2367291059177,3692543085696,1308345836374,2316723594865,2433049849846,2269910112893,83139966551,1129416988799,1216574939254,2382258543827,6873918044220,2776691671076,2824933887993,8708850188207,8334652030101,4024669328823,1488144402396,6108083369370,8791751855027,176603603297,1398159170376,
6982710465115,7078092732055,1118081138684,6595907266913,8662571816058,5445551941538,3492252525316,1469180353190,7576397296928,534551164687,286842879934,3757872941804,1522413235457,7225810115743,2075274969009,7464064710922,3156017836827,2627785523639,111112928982,312455264799,3089990219680,750310642136,1823728769373,11557505191997,1313398348690,5379688144623,9844448990448,11216156504797,7339280374871,8747612241435,
17028830951056,14599044285083,8001975453805,15611456813090,9340316227187,9773433989116,4734033294533,7060743421061,12479383759191,13735444183479,6127461889037,2099332046734,16528718630397,11496803702611,5562046139377,4787366947754,14096685292502,12848156548530,3950514059738,7700495633711,1545751298987,6917169895483,15295301611023,985053508438,10634041071262,969424319613,16915660889812,13027197981455,3641718720061,7657309953682,
12678814203061,9412133447592,7381318797913,1943523211729,12425649968084,12851450409373,7732342266536,12003200108757,13918495942872,14011730484752,17340414122063,3216075734982,3571886475500,14974696370814,3052157089709,2736879281444,16895486336965,10914877436121,1853943610998,399675779290,11096562758851,2666956043522,11504526135393,8255320981043,16855735954160,14082472844085,9202983946772,10460800250291,4742526973454,16061811939377,
15603036992137,4116813794683,5406176362001,11453055689459,3152611600160,12790842651758,17273903915427,8662019303167,12570188481435,9202849876665,12621092036108,13055751252604,10418391363681,3718957336784,6646021126119,16839972281001,2991304169118,4065170514276,17034034186668,13411357691294,12591092164973,11129810221600,13649186227071,3911009583325,7652667990069,13694916708395,12503183140381,1468198658470,7961166139722,3855417060304,
14099130959527,13225620412551,7515208881085,11566383305743,10898131276598,14300695930668,5638246148572,2197130513147,10120085762878,11619372060775,2369639379401,10142886721419,9881618143226,14935111597222,8840713879300);

bf_S2 	= new Array(
2047577044294,6910105922335,11777799231112,10077861085865,7738010131044,10904043700720,4814205018094,859747430668,6001698417984,15451301474294,2706633388666,10460094185597,11720588043645,12764221972319,15008213878829,1628817049327,10129567204997,5080160471555,2125737318549,15395214323683,16842221635382,1415979829213,10216981831788,5624050011156,15764650269094,11009550380237,14355643206629,14118472747174,11917598368887,10271402654949,14722505771350,
14113612968572,7523040377478,13371572494914,3113199143223,11841106626639,3803141857955,13867142332426,2737607183179,12843928211162,10100637563029,11176610169142,15528957843846,20023183964719,24914475912124,5868692290501,6666905103834,17835698427545,26125641786786,12931669697108,7769690731994,34318472632409,1117244149672,6356453959542,26592853178556,20651851352713,35171044662554,18471743418446,20128876732826,31796141415939,11845599054110,
15729036985427,9257503673694,10018600220111,12938007869694,1203372526163,10602077549300,11237266226441,26592177986922,2692587734601,12569443065223,34172440141434,24235492357757,3449234719819,16235253769594,21678509072853,14302795168448,28931902166640,24503464753382,31594181947888,23361312480608,6120141184684,17243215245879,13484735738896,28941879326579,15979775248883,29255961449386,2112560020456,19655141824929,3370355695933,32015244447072,
22473624129643,17206218925979,32130064107582,5454724972571,25999177669741,3753894072206,10310771393005,18968021559903,20131438588451,58493223249,17421705825629,9287788271044,30012252738511,34260959644802,28308407450533,17426359280686,24601014746735,29892259318779,18831706377026,27478965946164,25692017617023,20824843712132,3335632939276,11834769248488,17374733366197,7319814526710,19735386545640,1387621642603,27183192413947,20130050568031,
16734148682705,12796124752618,74087940652,25327289415227,22372929706071,7987951274386,7137661284109,25616600690605,30442484025409,8045299166392,31547330800475,32705108643595,15107940668528,21800722720529,31574240965090,8733079000077,3424045161767,10451613846516,24051326824150,14185020252917,23825446119452,21602966744573,13190919543186,18586738127443,26322357253346,6278264150298,27628557598657,13744205416762,20312810531324,24892080070131,
21246093714623,33740455853028,6112771951408,19347176739509,12043827733335,23070001906032,867977545173,32647285448503,25139975646214,14091279612152,31721623506870,29140859203999,10754055162507,21523163172912,7468583035596,34861313703268,19688116606370,20694744062269,449835177167,19127743557193,20025440076300,28476236325737,21421620239458,26391026616647,19657182605359,29691161801089,8479354103234,33297460708016,11964617754623,29800432131391,
11705695118057,24000197446390,22228609328418,7113369845548,3027121899868,34952906702224,28155174027842,27077115740369,7809509447580,18827168569944,33503473491064,33392209781887,29503484334402,11424922221720,18252690339212,16048724421038,30197985898983,2620648223339,24124390564548,19246151153058,2404089815692,34217135052626,19807087021837,5826792430604,17380798238210,28099650979667,13533640219637,10657125750971,29046480743227,21644616710722,
20535346704675,5014618488392,10743340549929,32244076049496,22575274661663,17264020815554,8114943127319,16558310561041,10220192794644,4763985946173,27474029988057,24117124496584,8294267255016,26556988568309,27806229788710,26791942942855,14947416039329,26874785018583,3347647581369,5918964229845,11979551230808,31866828794358,7861505459670,26853971740742,6315801621918,26674241892730,32114469296024,5189891018308,19055958787273,34318621610178,
20483679219331,27945370004453,9641980736537,30919692531898,12674376678222,16760841868979,504087672393,34815716924883,2220895435391,12173682109686,20017252210546,16466539100361,9282510282498,4311624057088,6856099275322);

bf_S3 	= new Array(
33073974846113,12033468525166,18326138236653,31948976415524,11144493424453,4714367784797,22844523430033,25597083875726,32002160532457,25692795324270,26440557425925,9380629697201,52137022585749,13737625241917,9930336397889,60503905954233,58458522519017,30618979000555,30657756093586,39911789767666,43545096625675,642454563002,1118688142955,35992785255220,27170674034514,23400241431296,50998940034345,12489031097758,67264713297169,42734654789108,60643593847663,
10094076488824,4472869911408,53357600271366,10289072494151,123045862500113,77471355007443,13923107999660,47068640881127,76979470296944,73763686587451,68091264833483,25636471177948,19323665256691,72325762892211,7210092806097,63109514354768,33622701885030,29325016587404,32097447608908,12927594363061,45082355661835,17295711408615,4803377243744,366803237324,56371873028322,64885495042506,4595096791552,34173356016754,39498918545612,50246930996696,
104201678142190,1320636139698,86355105785065,63437743604368,139113190101559,139069073887971,31675440914020,17910246628674,55529675207488,61508986455044,27812120900027,16266301816061,80596855162873,6171730679290,18038397601406,17228701889209,40913939467305,71038085506603,77419531319149,44814922154043,67423015850532,127598024261490,21881489258244,37110172273827,132818358526615,5498688855840,53745726308501,181846733770958,26079333538323,61035439387106,
222844647710222,155027543511754,75543641175560,31934838092882,160589109275779,163982698000814,182470405268616,277259665198047,276764360303848,197434007379275,28915097542665,38928408662691,270205523787928,247032886984036,25835523847256,156799786896269,166093992099064,306725328459733,240460295116461,339786516726555,313697102525633,540300540144045,554319996777419,481531570355971,410029480567872,497418120644081,551166457103560,490411961528837,67607875970495,57789809488205,
388097915191218,141516763276978,90022942220247,107445240224544,541866147752219,505414231762229,554905022874290,289308687478886,285738609243393,907089234824319,403775271148667,591829245601,617379477917601,578153838152843,306253929391982,174696487363104,580498852869032,31411337159022,544916441025729,251100945038091,274838215334873,271403320322761,367846710743431,259559332512087,202324236457446,42599053287620,1108820825746250,675980522714427,210897163875834,103705243573601,
621470385034300,570453702191192,149057702477875,519474759311722,854871621246258,330359894223665,195998111856899,243078551959084,193517608831786,844244410923666,424481549928722,1000526241070943,1068623404776445,1085808650502737,1082613006361876,1033644413227981,879841932170861,908939474713864,282283837857330,651676124712802,886173043030640,934713970210192,183082175467331,131680221395330,475577407590597,209901325915324,460919193599624,799598445760916,1452833149791255,1803708875842563,
1117705568024448,666970949650368,1696424941950714,2106306849622760,607033951733112,263205655360494,1309478784222559,2078877475005334,441029662538898,388212198707662,1262424217220763,1387616677027985,38987366571021,1908473223242673,189564977904280,558648477395696,1940943614553394,1788833556864694,381519397566763,466804553527536,1540338161500414,1246463649764702,979966745637463,1056919813062471,2175178433653779,146677332066368,2065831116229009,1447840679405423,1645127447935882,2246282634357801,
1244975926505453,1501007835530868,862843779303500,1332793795871399,781162059050559,431080877373596,893564901764512,1735466032241884,2105481575038107,552558154553062,623419423573387,990794117303341,371046872118727,1403745892481460,2034768486663753,2051049157703544,1409689816576254,2656332669376201,509085539406780,548134696300683,3314237872205561,2694261590017892,613346188169936,148483943457298,426820500771926,2053225448870952,1119595402987565,495604600901913,2971187164185395,1197003149350179,
1144848861837976,2176855993941657,1386885757311680,943730250945627,1140221876398740,563779672753788,631993623092613,3934572917339727,1310172112902677,1032249590293463,2056057345422841,1679950907528426,1905395506992958,1674541348949366,1431285808378156);