99,433,406,331,360,474,131,813,529,981,494,827,803,535,511,707,531,846,599,630,053,193,468,046,236,706,141,259,560,574,098,324,292,370,673,015,572,296,021,691,385,689,452,599,720,984,574,467,121,715,154,145,404,042,731,144,830,210,992,458,185,752,534,455,545,927,695,447,761,284,820,099,559,740,748,169,061,331,726,523,940,654,104,956,996,595,950,311,306,320,816,440,881,271,984,049,212,815,224,529,746,046,397,455,161,414,650,619,826,265,691,022,596,546,322,536,347,600,970,466,518,447,377,993,202,352,196,855,688,952,607,849,107,826,645,431,713,978,949,951,358,562,672,703,276,394,314,680,027,901,712,420,245,617,721,919,070,979,519,265,810,725,477,615,720,197,609,346,787,004,191,472,778,473,138,524,870,095,163,726,768,297,781,388,058,801,078,927,955,772,297,391,866,233,174,363,542,431,350,614,973,534,253,307,603,144,831,458,006,146,388,801,100,953,299,256,376,509,437,150,119,043,258,341,148,079,471,684,065,268,875,980,897,721,274,643,976,809,712,377,596,582,387,839,281,871,780,570,585,403,617,059,187,124,006,939,358,663,508,994,818,522,902,928,721,131,449,048,270,527,695,451,952,087,921,678,914,363,618,588,533,744,402,068,618,630,227,703,422,335,997,057,859,274,285,169,644,741,427,408,346,719,384,448,372,911,735,749,327,133,008,877,887,268,892,636,242,967,110,390,177,422,018,917,432,720,984,650,660,626,860,135,529,240,298,546,203,877,154,262,926,269,875,419,738,344,043,482,535,397,186,710,135,954,514,297,976,375,457,292,658,025,876,924,886,767,061,930,082,153,920,805,663,110,707,028,084,112,790,280,595,380,970,682,089,783,401,403,947,787,106,071,410,616,260,259,340,237,063,325,815,085,172,101,171,900,346,762,682,158,771,142,979,221,024,055,729,034,523,039,633,942,342,663,182,793,920,065,529,576,314,640,767,620,920,257,834,095,840,323,478,367,788,880,221,662,569,615,836,145,226,375,514,020,709,815,348,960,407,714,502,455,696,019,313,546,566,439,200,721,132,371,956,202,292,726,106,453,140,075,782,844,019,093,766,818,707,099,459,490,984,631,538,904,578,779,726,163,655,651,938,049,198,107,046,289,892,781,575,129,759,221,970,790,851,431,851,168,451,150,791,009,736,120,163,265,586,465,056,337,942,396,880,260,457,832,282,496,800,747,810,346,736,976,777,886,739,442,377,279,720,161,480,275,506,150,170,941,295,485,327,438,538,596,692,585,951,027,570,893,807,052,845,925,625,382,562,702,811,531,347,973,486,415,697,597,734,132,892,328,770,120,632,944,005,962,117,477,512,066,627,401,514,509,776,971,447,517,293,971,721,951,718,784,096,102,370,738,238,914,884,434,007,718,125,378,756,036,102,068,754,271,174,146,475,554,154,082,587,542,264,022,320,746,387,058,526,314,219,052,089,437,871,768,447,564,531,595,998,070,969,027,731,073,096,162,709,662,620,939,294,297,598,580,282,852,440,368,442,339,978,642,908,368,385,779,478,316,008,407,932,894,898,396,103,134,994,314,888,639,426,741,199,747,216,542,580,703,185,020,849,147,549,546,924,874,555,573,012,910,661,147,176,624,729,023,835,426,139,947,527,165,253,884,373,119,466,654,446,991,964,846,918,838,572,847,214,537,355,028,638,351,750,195,577,626,042,019,930,767,978,499,149,413,259,586,362,373,422,290,237,114,357,835,244,397,327,770,629,827,232,969,319,216,860,288,722,815,645,487,532,487,688,221,668,129,442,812,490,801,388,401,257,963,519,358,800,755,295,989,328,707,166,998,001,812,445,932,819,175,554,179,833,752,729,621,709,332,118,183,381,865,596,813,158,191,144,606,360,303,069,277,909,711,650,941,032,720,792,569,453,526,353,009,258,729,787,922,991,412,569,896,942,570,574,365,985,936,394,615,360,116,517,458,903,384,995,602,723,830,423,062,451,131,775,160,372,362,325,932,686,056,695,067,985,872,797,745,495,486,430,704,533,358,437,510,235,782,046,255,834,290,444,312,461,879,303,193,561,386,105,349,284,619,707,067,736,796,223,615,092,831,564,639,110,032,131,698,687,251,696,168,561,652,695,951,029,540,918,882,024,467,458,233,206,246,792,236,606,008,922,172,998,365,706,808,929,065,943,134,019,263,175,646,211,743,983,012,171,916,643,388,037,712,757,859,451,537,339,474,167,834,455,130,774,413,473,569,406,709,915,298,164,888,241,491,373,850,038,436,256,650,456,877,715,319,537,990,637,927,604,963,245,744,645,138,129,573,695,820,784,109,521,731,052,626,157,535,233,271,894,800,084,072,401,085,605,215,184,078,450,631,948,661,909,603,381,091,340,420,790,634,421,096,754,785,725,433,852,252,635,883,802,635,325,023,733,487,928,662,109,442,302,239,430,819,738,683,727,714,674,748,735,395,672,493,219,686,791,983,338,032,428,559,775,742,275,730,975,152,354,783,118,870,693,184,585,585,627,710,245,040,860,710,523,453,218,505,819,492,766,517,973,720,135,775,844,272,534,144,437,576,878,964,263,747,883,880,970,298,216,001,065,234,248,900,769,315,072,054,525,432,660,303,630,730,136,903,321,145,092,156,483,850,550,926,619,539,193,379,871,240,496,597,760,896,695,761,301,168,628,738,543,590,776,631,368,555,730,362,022,916,634,345,983,904,858,552,935,377,555,592,264,599,704,651,240,716,709,485,055,807,903,084,557,264,259,420,203,618,749,773,235,908,938,687,986,359,017,836,868,246,821,905,532,258,964,398,161,452,121,374,497,137,476,127,403,584,558,970,578,458,580,343,697,231,289,057,589,476,116,975,548,587,856,421,342,593,526,612,843,705,411,402,700,778,795,713,728,020,635,452,554,813,099,135,859,803,970,947,887,841,809,515,476,203,926,511,518,057,678,737,445,340,198,406,759,306,955,173,255,299,207,157,359,673,619,663,067,802,560,235,781,958,596,533,272,797,938,099,400,798,908,110,466,984,655,696,621,126,269,151,673,847,252,082,671,637,678,670,953,275,590,017,684,982,520,129,539,264,813,838,435,517,792,776,727,287,910,663,217,005,060,637,460,231,524,503,979,817,925,567,916,144,932,422,622,025,082,757,690,542,865,421,256,189,762,522,826,730,953,003,365,296,202,326,245,125,550,498,527,688,272,292,649,247,778,797,791,274,174,980,419,321,959,079,976,012,453,751,353,296,414,116,912,846,123,519,641,385,336,682,439,962,704,847,612,560,100,025,597,183,954,217,488,080,448,177,450,711,487,645,923,914,175,895,532,204,502,454,793,429,695,116,189,287,970,360,804,058,599,317,242,067,792,579,055,199,145,286,119,559,952,489,413,353,413,261,736,715,695,326,769,377,243,927,830,402,673,476,246,151,129,283,129,162,938,285,985,602,584,548,781,125,859,356,606,017,993,041,083,817,324,105,894,310,774,891,653,653,856,836,144,689,411,717,550,067,354,672,932,488,109,682,452,637,715,068,161,649,167,362,966,844,908,746,614,326,555,227,859,748,093,888,625,570,257,670,177,946,572,943,387,194,585,591,646,908,368,012,476,123,422,593,460,420,877,632,045,406,389,193,376,777,563,243,409,232,632,108,708,419,072,722,090,400,123,545,691,397,361,507,190,121,896,134,992,201,760,993,118,476,083,570,214,493,147,762,352,897,552,610,026,197,576,154,174,420,856,184,197,551,639,892,786,171,487,809,303,649,120,005,864,508,316,607,844,772,196,534,376,248,187,949,274,558,788,885,269,583,618,851,725,061,760,458,533,174,951,059,900,123,958,642,642,691,625,221,818,681,894,614,375,537,332,963,225,992,437,773,698,096,830,818,050,455,294,731,320,261,549,061,777,859,095,107,519,577,607,743,129,168,847,895,614,051,306,392,745,232,313,837,670,332,469,441,849,980,192,356,218,399,887,969,552,927,194,701,148,447,830,222,633,373,571,284,857,840,843,277,713,417,211,885,588,805,059,289,174,659,334,863,502,960,453,550,849,914,216,096,850,981,896,571,219,396,718,988,116,236,683,774,721,375,041,356,004,225,428,379,403,996,041,554,906,368,528,180,379,730,053,073,146,027,533,476,895,744,613,996,498,001,127,157,019,794,258,486,338,160,551,041,024,636,671,317,457,195,913,663,639,499,693,757,467,334,082,782,235,166,580,124,966,836,305,118,664,583,123,077,930,803,841,134,482,447,329,042,485,522,026,781,438,317,371,567,311,620,497,187,267,308,626,310,841,769,113,272,542,661,695,347,958,156,007,500,724,589,714,877,534,257,578,698,454,224,943,226,333,425,018,209,440,598,423,483,993,422,079,012,449,832,633,353,640,013,329,783,923,916,455,314,515,921,573,476,913,208,095,441,771,453,109,694,904,383,591,611,370,032,818,164,330,932,312,248,932,063,046,206,754,147,378,056,849,468,242,640,706,815,439,860,422,996,883,767,135,264,962,450,908,553,154,635,061,057,411,688,216,788,883,817,456,085,941,283,038,231,779,880,680,052,815,386,035,685,992,859,435,326,822,249,616,468,113,496,440,154,463,187,967,516,452,682,314,692,988,697,032,454,852,741,303,730,309,059,111,317,848,998,677,888,979,972,012,610,569,087,941,723,989,378,649,729,313,140,240,047,151,628,517,899,552,966,324,388,397,428,477,176,029,045,441,272,029,104,917,345,803,707,982,430,905,804,858,038,744,293,162,319,501,720,774,707,372,693,125,157,153,582,143,181,571,932,209,515,378,385,199,267,110,136,170,523,230,130,430,513,478,649,477,598,896,196,059,307,942,861,208,483,837,995,393,467,678,532,278,532,787,979,933,062,028,197,593,795,677,147,556,465,360,572,800,257,044,008,824,742,400,810,215,934,114,319,453,062,659,417,097,759,383,613,108,835,778,926,212,188,842,419,667,996,733,709,501,047,537,225,204,666,696,623,463,865,031,296,085,009,899,702,553,433,628,488,017,331,748,311,370,190,857,045,582,982,570,426,724,193,386,034,846,568,614,644,773,539,385,042,509,916,090,171,076,474,049,959,077,252,433,610,848,293,427,631,721,371,546,372,379,227,576,397,361,575,433,173,636,552,137,512,871,916,671,789,111,922,465,604,830,340,250,000,748,923,891,611,880,957,276,758,198,589,575,258,962,698,925,764,761,878,725,143,173,798,227,243,606,982,125,434,069,995,839,389,362,281,908,900,267,746,782,650,443,078,476,746,070,056,802,963,699,736,810,975,042,663,816,701,656,793,091,433,079,181,174,355,216,979,652,155,832,301,239,187,937,808,969,294,505,188,807,488,944,518,896,460,219,617,587,064,981,494,630,130,027,719,216,985,401,851,430,326,398,981,310,010,796,207,530,647,693,829,584,096,050,835,715,908,129,071,458,852,076,493,193,946,617,416,112,489,739,714,738,333,171,479,948,532,772,279,054,514,386,630,224,023,755,084,255,717,945,393,449,790,395,343,951,724,027,810,280,253,303,069,856,331,711,145,532,552,254,230,683,474,501,302,588,877,037,858,388,888,240,915,722,781,130,629,959,355,505,431,233,004,829,375,226,727,203,960,480,017,109,264,981,598,535,688,191,490,325,489,405,925,786,654,721,297,170,928,297,889,004,585,527,936,547,622,540,907,459,532,139,295,822,404,853,954,020,738,605,998,813,514,069,282,504,937,703,598,637,175,831,272,337,723,903,111,614,817,237,657,954,378,372,716,174,725,619,462,649,244,055,436,340,023,676,877,474,337,068,122,179,983,799,941,842,579,100,957,571,492,388,909,153,843,840,006,725,114,046,556,147,103,363,665,544,275,573,994,060,791,714,695,644,897,620,844,769,179,297,896,809,921,838,092,288,975,228,227,898,058,598,879,140,643,428,456,003,322,364,910,286,451,588,578,230,704,631,324,331,484,693,800,693,270,288,479,063,063,138,855,022,968,404,534,470,082,504,411,664,809,664,812,216,010,980,156,700,951,812,809,900,224,721,763,054,476,595,020,401,320,360,052,901,938,309,404,330,751,084,683,248,263,270,488,662,893,077,338,956,593,174,878,776,533,711,988,992,066,776,781,524,575,414,251,350,789,440,634,211,799,276,567,202,044,668,616,920,963,580,681,913,517,975,024,373,972,147,843,170,198,340,505,333,197,798,461,433,923,283,312,907,036,815,601,205,093,723,307,948,631,424,513,782,871,974,703,314,165,872,345,283,745,053,822,151,885,229,775,802,486,863,981,495,517,458,398,563,069,106,135,615,538,863,967,752,190,904,309,446,026,693,691,152,357,533,428,841,802,850,005,764,358,580,515,126,267,636,394,683,067,887,379,721,729,656,277,312,192,533,401,224,877,574,392,112,382,466,695,923,982,113,291,179,846,897,912,437,374,766,048,324,255,129,146,185,856,305,316,030,510,887,658,868,477,764,223,740,708,275,220,815,050,941,342,806,527,741,101,228,958,895,586,392,182,178,669,131,959,351,765,576,844,490,272,677,505,436,883,385,568,289,629,620,397,382,462,074,655,067,726,659,379,863,670,327,765,356,861,561,292,456,207,373,418,083,330,817,809,251,682,910,391,474,438,987,008,050,474,773,456,463,915,639,280,255,017,518,525,404,520,882,297,781,452,949,443,172,572,816,408,136,549,468,838,631,135,374,037,288,292,743,723,166,566,219,800,415,850,579,116,132,498,725,361,067,797,976,860,241,538,101,523,897,605,403,611,961,777,414,081,981,921,521,382,341,788,941,827,723,139,110,205,222,938,784,312,163,944,516,336,290,765,511,167,389,075,614,196,254,779,022,553,395,066,810,897,372,128,571,691,304,147,326,418,023,601,636,414,754,678,732,692,295,218,017,831,076,155,648,256,778,638,056,518,186,385,234,247,485,522,525,146,205,111,517,390,324,106,876,882,247,801,622,313,198,763,417,218,323,508,846,482,606,085,979,777,447,877,672,231,415,283,147,291,216,398,350,133,946,095,822,780,689,640,260,050,243,869,262,149,112,373,241,472,664,668,557,369,937,726,467,553,457,064,719,236,789,435,664,095,371,984,111,980,850,162,703,910,868,665,975,104,221,678,244,588,181,616,788,810,152,341,426,770,832,713,353,077,146,126,139,233,787,006,632,993,280,939,233,267,838,183,527,507,286,010,237,244,432,756,890,320,320,861,761,792,727,577,372,596,488,958,778,344,640,494,828,103,824,215,782,432,726,848,279,546,746,060,182,493,602,812,672,544,534,271,589,438,333,787,476,675,596,988,887,206,179,774,103,443,226,881,020,672,228,996,539,489,837,859,936,025,414,145,084,229,694,975,734.800587084475138048
$ 948564321939266182028021216140500553692325956914872500717815826092063078213819228196622838236287799569369440472823420033387675372181770778953397911108146426201463020834931942333802115634084340013635436932035622575937482269778714060865522069635197016651927121696931717506208813475769323310246538409547636864318720258094623095991508607796551288302386310499785652999700727728754986757398212586605791651060625483612099244621017065870884625000043149639558772871112698894009745925196628083964812415142317902351607178861321669779460547251308862770871671432351173721713835585170875858288637442023973721042521756217308988108021287256628247607845870496040467666375739790733232955661527730453887723621910257301748858221987226318457798177515641587561043414393300745635898034218306560338237118435871353484567008869186961588713834636860323035512680144074519859312092347266023574282015706189951212538156839861095507188863305514322997181406842336620563715547769579404510999861783517381945331940695358942503159520940489352561513417739430475703906502312914019872937324679680530648950568725348483774883284116684966253317724923939238876735818249739311865850764066560008997375982116869823335401501960471602110063222672175439685320465302564008011719473926918855223856286041107582337209056384580358823737104267265147982893802823970029329274651511840423599164311141438796970467075016095550573490868953090322007123861996720235468407897417551418300706053235331875664880559190639832462972802944319409158208334052407052082683691173403877342041319708952231837567640035627101041059178813502056638163830225491624241504390524859876676627370579626551353001364659472433894437831874303807471854072213074057806091296123039956258651879033396963771622027389059109591157400255737156803747169206271658202809425236010946228810002400167382670916649464749940635359139143364599370104247715376789099014540039073864990306423299182615134205456031575020444513279334440232599842561853031101795673229015630440480977715085982858331412815057818542013579133911222509305577210933868628592985473587447359361694260547505834702505652309115310684103956491063040103034213256193237902179936573030849510310278608549947129811427104176912979547926919989567343508338536815083730646625811919245905596324666848938099193196514298505156423932069363698138502394877493560312004164668633860048123885118654702270098779159742035653449094409029233140408816006903943413579896325495518308152273120955214733271587092917894512944670655301031167791362986106069552537277858422945234027497756542768772386920149557230569721411592481553091518350350796432108002628055095486660759147382026093173529417822099597102196661087385521037816103871224930622982005282369133919362985059522246931540862068315987084030177984039012968608227573775697347311805634095925004485439332264232186329837138802528645024974892511237327130725329174617796512532760194158465498091555060305570185494611242419265282161543856151248603895738902819273849790681466490188126994690740697016607925428558735092155467406060910032768509849873154693341915044223017159737121703103691206237103284575229996073554708215752001786206876129067671641998832353022378807468913413108705596954496717785529948798242697489791053478719524366408576273835036025845794266532227968903002708497796352749495480589648888793642448015481138514312379886672647169825730867422397707544666965456501218058330445642743410052759815795983514837829182056780996723508041574654442573969292201931248956929816897071489941496064525224268082922095493805898439907393091815175236718109558070466701465844310440943317082445811473551291431939026035596887282983637912797838813243001379568068346657627252017635956233613956772836549871600167688559752294064692266525176477208091310951493057188360825642583013349721318238214090302695949320886540096828447777986856275638651545140433987410882711865566156210114913027044671911491730734184566876246690672488337898256700717383279693763073996545721819215836673703058013364547714123634196760237575015936384834273958131250602245402196031406406317088128836991112394762873345574046450147658359405804005596696050765172570651035233169115779236458292454558281787135044996928867564672488296580913364718149621589045881816420318660564936882841698463103545518801880887085346255811824465470990372543799865167657399176803116558664354918479753459625244568787590780264691901705693092207670257774951054397072246579906442071496660609636479419971313162260974063808185198424178199746166716316253316916117039966064701201851317726574822679467578272819437231087669525808876696026020998206849949115291946708897267002815343750801895719647993236909769095193561206991315645667315491081959212754563149398845599798275500174141260711091648334595839037136225715676784068101046385680221856918080324242770439382434202910649380066982269979117959791776897740442699089426274015735312181285607176674605526113430579359238918406884341596591834833118756605020981571467441928318512196343544313343359422697669329397154693222710601030408080800456135417226564832658110437142048734823157476789941964599078973638191736296372946722802798943524875813579672496341351349792146824036278473477517945470880346151249533695973185902068236290379471406296376541687461319673401092000149221185074962055909145424068792047617345870887362290224420104701640123227554674474012314945190259916315802129396606171325254795334339332749407021908879468095507018424958238527752873888854352816037214913819583628893957364312460634425459626480295329673657818154928970268520100536937038090524643835427494564733354251868749667009237360758971714623802716894853857341405795397702670372036191386081145129410633799722830081829664936464968229473877179807632163900275818191376998802947753379719393924630163676578905838434664009440663083595144216102893052894311469342468573215811924771133378520241296389928612336640122795695041845460540375145240129834041679581257589931835420658341256441848179992213971455229497763600322152438082429537710737161855026601293443663278522846701206625208645715042691808928861499628942628335882475734231376626124358091915958017498382304405582368645758033186656163466949578107146906099869773765122453062714905110010758569507391360612187460248741819644502094906241589860815363776399692247740762025175212907164626692413349439741187093292999312639104988218128746927848974412520939414374937584151017877332571984024420019263664933937032667773564298178685640811800347091540118846877821481474805584123707910219874695404482714108797705540825390297937319981584335589160551457906304923925699652088973008799862382584316828090287204037716138791516192864714313190838588520972820848891150151977947527867486837648965887360585427292325574314863268634938422527555308649588284168638866861304908103991811320781869103498154605136523482271994961320145615894147003284834136452120651234259704356185975589228038230287237749088188414091869822179256779676744024757880080751085863871577548392565410132462399912281496610694160539584643259040094371191554980052465997344831820956162856694027436692502872794475825247124140597151679113361877959878294408029253060457631860813920204836180944367841421359659620128470235617474710633743123890625317963690385840489425171509833373605834900093246384684988337504777414525726603489943421606769897554852090038899247046957455467480029422335979419168567492208511477882458239647316537675371982355852877949590933020661510934619965395493465312899959685750384941425067256648264964628536427000093597265272464724971594822772488669728337970622663466346042107712765654095876479089750269828144027860007546557657743685379583372747152826486762017404695344869801175400362208186618304791928577222708519878308811372155744006197149461247660676538657272712240540945795136767067175941296598446320896499349770513730632721862505647727590124293010316052363703469877456026476044260266266752055083289473867317702803583626155418629572074133398507184225074506894072081880592436369704012131091606240252853574288453550353999036251208277904393177798730582495359386575085376104955303081479089829117636234326668623484006014166019471594689202142691556586063143169681667655087785006576725620912859184799983760340655268705090952743504653085617635994831779416530551756021771239857461473365533631499128582293060320392003053642458497143313943936994518322974778956473604053575880718580759013642407191840427144719471859495470993036613571537946712920424989165471486834283544526252811769505725483831802373483900432078439410608294418891175979766504563109005429771389563496093910247763883463589890403182471746774746683544840431374996635205081291474245223361035144551271734236175268655745964131082772492621859375926989397286260282804676058715091393478752864190016613432458564839851971988903162267182460852498505786783899810267878959746045618517016591088143866668932876631531185650851112012002119461411113514595947532153860275784288696818932108307652803157915456774256060658711629807232955956415730348436449292662978435400921781003103887488298660621373346831131267045679333856338240651319413386112487287431098106292885112145183676870591199950675236020130150851880747395854967760506368731428076402635739942512750912469591074459574222047991328868848440033289853088975609854785968688576257797442358583270660261071296713602824297770601507910970700331159843028005779770707446989081624879977094343881396745487553470904214104767017486881280265868183986212996499548982556922250120288760962799980548183115571504728979381567125149237149781879286870710277923221789452497031829632275781769062017135503099805182300186314120476723210151255167892176051778352143864182839462485015813714294421309540867228139508898995304391097899435323582036367411655393698500265093059980950635741527415547197748993715325451140297043379421889333637191122314385940743210528725366522717072299874678135613491669809149153691552163503213626344982489.58
