8,726,122,631,862,753,375,593,021,214,828,394,599,058,114,066,240,165,292,246,041,349,732,590,785,952,919,386,746,555,069,899,421,979,279,102,222,229,051,541,826,780,082,772,877,377,534,183,716,434,900,736,799,634,961,264,162,452,174,676,489,051,158,522,418,249,482,377,753,528,353,016,582,346,449,326,951,133,599,104,871,170,693,785,709,402,909,164,731,887,561,451,451,885,377,670,027,878,799,468,933,133,413,197,530,958,050,789,715,717,259,711,208,156,077,901,013,687,533,285,785,821,248,435,243,653,924,971,248,971,385,579,737,490,459,114,114,839,291,567,927,503,932,329,460,718,869,899,440,938,629,521,375,346,429,919,400,072,562,075,418,998,025,559,783,090,711,514,373,228,280,760,148,501,433,287,695,942,256,919,230,760,962,517,781,801,411,994,537,685,578,523,509,015,551,817,375,574,756,683,247,544,864,282,475,337,869,967,291,735,937,594,798,469,230,663,948,584,701,707,188,600,272,939,673,530,963,328,448,104,008,100,498,746,857,042,811,201,462,901,124,558,485,102,425,114,486,850,667,436,625,803,326,950,497,674,203,967,732,110,988,628,382,522,346,912,643,353,625,515,014,532,816,503,693,112,870,168,725,548,145,279,543,036,369,410,698,132,928,282,077,894,412,074,458,578,922,521,825,121,324,350,594,916,490,334,547,950,193,004,728,777,090,081,105,035,652,484,125,994,870,851,859,097,112,552,295,652,597,711,338,005,439,783,543,446,851,224,920,447,420,787,754,926,554,289,778,090,416,076,348,066,749,096,058,388,971,436,036,693,607,328,733,342,928,103,471,966,542,218,092,525,602,136,535,394,261,904,064,906,508,178,920,542,812,485,112,520,266,846,057,447,596,434,069,021,453,519,457,085,856,304,475,244,659,961,298,219,089,619,890,515,184,305,183,884,801,984,859,320,002,404,707,829,256,535,618,498,936,588,563,939,242,311,475,850,009,978,306,520,867,525,503,579,320,467,619,255,321,133,165,023,940,866,913,989,730,201,580,641,643,355,313,609,273,907,354,303,600,815,852,191,717,023,663,141,639,361,629,222,309,507,884,971,566,286,978,311,357,656,135,025,412,098,616,839,774,667,519,823,417,067,021,376,877,056,381,145,166,783,589,448,491,724,477,618,367,712,128,048,880,022,112,455,321,710,673,447,285,562,741,983,656,598,292,961,924,349,528,729,971,745,025,138,072,741,926,516,170,273,460,819,025,550,014,941,673,029,816,931,179,569,762,505,589,144,253,866,759,891,619,843,994,791,350,464,487,674,832,874,836,378,902,763,827,091,206,427,933,410,294,959,500,101,307,757,941,658,590,946,052,884,782,409,276,715,259,872,102,970,212,709,683,472,187,751,523,294,715,697,304,865,476,741,811,973,062,701,813,481,871,475,944,417,396,259,679,662,316,288,890,091,510,654,764,309,205,529,058,851,951,952,678,935,035,113,763,240,399,294,111,587,066,766,944,429,527,504,298,900,910,431,140,344,254,989,006,900,764,451,018,390,702,399,648,445,419,689,070,401,149,901,508,130,976,466,270,405,349,049,801,281,485,783,331,919,694,309,138,279,993,500,915,692,206,314,762,609,610,245,561,655,444,837,061,234,746,289,867,725,589,250,737,116,767,853,663,770,228,123,540,257,133,541,073,342,778,736,758,153,786,522,602,339,043,454,558,893,002,881,712,926,795,188,832,748,302,570,037,237,876,954,918,420,733,080,681,721,413,569,945,148,961,431,376,340,736,012,289,503,826,531,499,847,127,352,544,721,052,207,588,804,548,857,752,601,839,318,521,035,768,943,205,160,544,787,146,768,531,334,877,411,860,052,145,272,558,245,644,592,927,134,625,947,044,324,102,266,658,595,577,070,229,638,977,528,017,371,237,248,600,049,301,231,047,107,068,143,870,295,169,501,959,852,023,376,292,688,250,470,532,366,530,375,821,932,098,192,340,321,480,259,812,765,789,625,731,874,773,211,711,337,805,245,351,006,637,980,121,072,808,245,838,437,141,466,290,381,632,323,372,643,896,197,845,545,000,309,595,612,699,071,564,342,369,088,537,545,241,964,059,291,540,356,874,939,376,743,136,004,531,553,239,899,246,783,768,581,729,879,933,410,301,513,454,850,904,187,711,450,108,522,482,866,037,181,965,603,181,570,909,498,146,376,371,247,356,749,348,529,288,188,998,158,418,620,892,842,639,082,766,347,168,835,036,498,105,614,361,432,978,270,710,353,981,274,471,009,040,697,041,500,889,346,907,471,654,035,258,542,319,264,196,840,631,944,272,660,247,349,981,695,559,881,279,877,369,025,927,044,030,903,261,392,912,594,895,510,738,136,762,464,808,884,043,973,451,051,883,890,422,426,914,706,209,387,944,198,375,976,155,643,984,501,921,750,134,694,319,159,593,245,386,987,173,876,883,642,849,033,832,002,882,175,149,922,890,484,681,588,503,686,359,228,208,648,479,072,387,542,083,761,724,932,149,827,430,563,108,704,639,593,054,717,221,799,343,745,579,922,763,913,939,254,537,775,963,876,694,209,281,176,575,618,360,305,045,324,105,447,038,763,118,529,726,120,044,326,423,012,476,119,818,069,682,804,574,287,582,974,163,183,470,842,668,907,195,195,439,107,741,346,605,876,669,148,984,081,014,504,848,245,218,395,069,616,625,891,164,276,014,364,263,383,892,671,178,568,018,569,738,094,877,843,237,257,998,378,806,282,798,445,270,279,311,769,959,978,454,332,473,047,265,169,277,900,131,940,746,734,863,346,260,695,230,546,612,243,123,221,736,789,157,144,868,736,650,428,011,199,736,043,425,517,639,938,179,780,536,435,316,575,273,959,963,929,923,600,379,818,153,886,481,275,089,844,538,310,238,553,598,141,992,556,968,865,067,574,369,489,345,030,329,188,533,377,776,289,881,283,022,787,518,279,609,514,673,046,697,365,946,718,850,327,996,272,044,495,797,244,238,773,875,238,222,669,686,932,806,924,247,447,699,006,968,645,780,198,430,787,018,995,985,038,079,758,589,363,992,599,819,831,914,304,903,387,894,402,054,307,368,032,069,828,554,955,815,014,000,542,982,506,600,180,715,661,908,497,404,367,757,647,897,030,928,937,216,566,243,188,313,727,145,506,904,395,849,586,794,962,385,721,215,010,493,720,173,846,473,785,596,671,458,131,034,194,402,458,450,919,207,429,568,304,883,464,352,130,074,684,122,187,231,591,437,566,480,500,048,887,440,820,008,480,463,010,796,050,060,597,833,367,832,293,699,403,964,575,434,986,243,400,142,997,016,071,382,759,746,862,951,247,053,732,176,813,509,862,746,036,684,498,154,387,013,689,694,594,958,639,833,686,694,492,401,525,203,165,649,868,976,577,325,244,088,480,127,530,495,294,093,295,966,920,335,182,218,155,933,054,286,955,777,051,551,362,289,699,313,724,249,701,262,142,702,667,083,953,527,657,961,852,681,594,004,772,040,278,148,492,396,972,223,829,516,483,785,758,957,009,661,291,921,126,669,256,083,985,140,272,153,134,276,110,845,100,656,885,293,726,652,421,919,325,395,883,290,141,420,274,999,059,640,817,043,066,758,328,690,046,454,656,211,246,174,565,191,806,394,784,092,409,511,710,909,966,578,721,408,501,959,417,904,265,004,428,783,676,698,082,421,578,527,214,556,630,764,764,247,671,033,992,133,864,726,716,279,358,172,087,825,461,181,032,358,983,482,982,441,638,479,793,732,534,191,531,277,247,470,216,213,488,433,808,850,379,738,837,060,276,975,213,117,410,328,307,899,772,982,158,606,769,793,631,800,982,911,314,659,700,574,900,578,443,249,240,034,586,467,974,617,197,252,987,131,305,170,719,563,008,234,157,036,306,181,033,830,199,189,589,726,404,326,351,358,361,787,243,881,876,954,550,873,295,526,003,264,569,530,318,578,416,274,619,938,160,226,749,264,711,102,266,841,980,507,448,830,398,647,414,851,487,127,846,835,258,318,671,365,035,111,011,473,697,344,110,967,634,019,773,474,625,250,807,429,172,842,635,312,131,971,227,672,950,970,043,531,852,096,515,873,616,709,180,715,735,927,477,819,254,447,284,372,839,256,218,699,324,503,895,109,972,828,751,816,341,815,093,551,438,900,424,582,973,702,259,050,453,747,555,957,346,850,561,963,940,550,080,192,197,658,283,674,973,792,567,556,331,221,440,302,688,975,807,771,083,045,318,069,313,807,018,043,625,200,675,947,500,935,784,630,939,434,249,758,455,119,063,979,537,912,650,014,162,357,496,707,566,996,230,915,543,241,418,535,922,906,000,102,752,448,248,052,591,921,470,588,045,949,376,164,740,465,630,727,018,127,911,162,992,340,726,769,312,237,468,521,677,003,738,268,856,459,542,240,391,765,943,081,044,167,328,470,655,747,756,757,100,310,454,363,373,265,688,851,532,175,005,796,242,158,478,928,580,128,693,458,636,598,222,328,199,889,239,599,056,876,443,220,238,472,719,625,510,123,875,089,661,303,600,837,807,335,828,698,291,504,565,579,154,242,270,818,027,148,161,478,883,189,624,621,277,466,847,259,349,882,585,032,967,836,842,273,463,395,462,785,577,335,580,887,750,037,022,977,552,872,388,099,640,549,177,035,698,494,266,118,315,389,376,112,324,874,991,285,660,647,256,815,546,919,332,065,442,513,135,405,846,974,117,644,921,524,412,587,940,823,937,861,915,176,763,877,320,916,340,111,721,317,961,939,869,591,860,677,579,787,433,949,270,035,581,242,665,598,820,250,471,119,441,053,327,366,924,696,043,824,158,566,891,550,706,728,940,271,861,846,075,336,093,025,258,166,174,987,302,156,502,134,410,787,434,318,624,702,016,664,683,599,477,447,609,657,869,630,157,538,260,400,225,275,545,825,578,458,905,524,211,002,352,196,929,464,094,846,997,979,067,644,360,132,643,207,723,698,281,140,414,943,800,625,436,798,646,591,516,869,999,875,143,611,154,471,173,467,594,101,006,680,385,104,152,693,677,733,650,512,139,380,120,364,370,924,989,704,348,518,955,545,361,414,680,892,280,916,748,637,700,172,606,763,926,737,253,829,707,482,034,310,952,210,129,761,015,846,725,743,084,824,177,888,967,252,538,050,585,726,091,292,040,965,109,447,672,570,230,912,529,197,577,357,303,885,311,126,943,981,896,895,037,759,464,860,753,539,950,278,506,727,242,706,224,319,739,774,310,600,770,825,503,085,453,560,094,368,650,855,600,651,175,069,373,033,438,041,750,280,570,362,992,572,531,357,746,070,686,485,353,068,455,474,539,629,053,263,670,550,959,612,802,287,038,455,849,255,132,604,072,419,235,935,625,874,220,134,317,730,591,375,040,165,203,537,352,795,723,486,245,777,897,783,118,374,277,904,847,736,457,646,085,120,112,307,584,885,765,355,900,593,056,189,562,917,850,753,939,153,938,422,799,639,315,088,707,510,884,138,902,758,279,167,046,526,325,029,982,709,351,531,612,232,629,893,192,485,302,218,864,937,742,295,465,475,035,813,480,289,982,980,199,837,593,106,402,844,034,157,948,003,724,467,120,295,750,169,065,168,875,504,603,597,305,195,733,186,259,268,660,373,221,619,753,082,257,164,562,741,874,171,510,025,563,341,631,111,635,334,859,182,407,833,309,491,601,822,330,098,517,677,060,574,379,460,906,768,029,740,968,508,203,642,427,056,255,829,509,273,478,496,175,230,968,741,919,120,410,345,895,668,587,356,621,604,864,735,068,457,510,373,709,473,673,574,321,331,534,385,001,441,264,346,411,976,952,615,272,398,955,565,422,700,213,673,006,857,540,768,257,762,017,494,029,889,818,135,038,457,390,149,465,213,697,603,465,037,479,522,586,709,938,295,972,826,918,430,120,831,874,962,131,698,411,841,828,390,847,566,113,534,005,073,510,264,191,718,979,907,480,885,166,592,026,430,813,640,424,846,575,435,276,073,923,242,887,021,856,382,695,591,585,971,375,097,350,514,177,952,969,792,252,311,264,880,821,743,387,750,676,503,989,040,868,211,250,789,006,518,037,482,470,952,568,487,908,395,139,620,258,337,941,971,600,767,380,311,728,482,963,002,235,911,002,111,212,121,678,937,337,630,453,002,281,431,083,716,783,258,123,583,986,952,603,037,220,085,001,531,444,640,911,984,028,902,625,161,557,869,357,931,433,094,701,828,735,173,536,848,650,264,472,357,364,657,091,747,109,420,746,192,195,596,307,942,723,694,094,605,140,670,824,191,304,193,301,893,310,408,546,766,340,243,144,637,387,355,545,990,260,079,595,566,813,721,209,891,256,303,570,916,484,667,359,537,461,484,506,217,641,519,469,573,520,195,220,090,980,193,291,121,723,639,508,751,201,896,699,064,900,470,418,127,103,253,690,518,099,312,952,857,603,702,635,536,775,154,923,781,265,276,686,824,818,671,883,287,244,882,695,034,118,863,502,823,333,463,017,884,404,515,533,212,285,366,663,028,745,964,593,775,841,333,448,791,678,218,813,272,406,620,103,263,074,232,162,641,134,831,956,861,048,107,217,473,049,024,490,444,312,963,579,728,173,039,409,206,006,439,479,492,142,458,208,461,485,206,978,034,202,705,849,225,583,307,227,136,264,519,049,767,316,761,066,731,596,925,351,817,658,843,915,537,171,326,142,440,077,977,394,544,763,981,645,625,422,168,403,082,617,355,354,084,401,402,312,249,398,694,496,297,218,751,995,470,434,028,176,331,580,376,119,960,856,083,223,778,756,608,484,395,493,991,290,730,517,972,039,946,457,313,337,047,683,983,244,404,978,682,041,405,871,754,515,116,846,390,246,958,596,036,123,479,820,981,557,537,914,572,996,763,566,844,453,652,429,553,054,383,345,760,627,700,078,315,772,211,432,541,236,848,246,776,530,960,309,291,779,968,611,643,775,787,810,238,264,117,697,552,299,790,042,628,014,348,874,925,997,107,712,055,973,006,314,616,658,545,431,525,197,142,725,306,455,549,804,266,128,130,998,161,853,164,327,623,000,319,277,123,333,557,642,172,938,883,595,042,979,869,210,986,997,018,288,446,216,941,349,492,193,460,596,882,624,496,897,739,936,531,830,331,226,135,220,376,392,220,852,021,513,907,126,727,557,671,775,693,130,979,844,076,400,459,807,325,177,641,963,739,779,479,207,554,243,873,224,123,773,874,381,644,131,351,644,226,512,896,166,874,061,927,220,857,691,126,794,361,298,731,065,456,490,483,645,248,968,740,916,700,700,790,415,101,379,815,641,584,117,315.715763972180279296
$ 27044235398624079611728006244014646070742374896565806579617952727432620205081427700004901550174780083516226916784767447267970042420814288970040527905936287213727491227001331001463239933773050605679467801086312263703919857170897434385310833079004385834284127814149130250950126961349399391893363507566730594218379192830292607039642151420597141097666856443899014558721713784078217215303799922535234979706129502367551894318855398678048550836122427570297283920875740271113756192143938825085036427885347952643387892988155440586252592690151631565667780377896890190995957760233484833906336498061624542846465546312842028025289484158047827620345560130133125139656721064135964702044779936899376856846431881197236649084589013176604618708776478587602940478166991371110934788016568804031393617371392694007226229072617258097344403968627453737241637723143070071514777798460871443435904881358488697582544300897626797596447685971053076029470296753290216853585790564076807593693421446687312682671376700144043907792660697650471633285263105908996882891823857595396966308499703003369778961320214001400803164879394992148121180320677139547129254502331767635094049007136647071897092204974367342111106528535332836240969555400625677001974333412898557856688616323837116356760727801777251061456545459140597174057424329387306641782231091225085825976028101277122607458181408339740295973433226794101847240689343989316027396618706955118953556738372383993797708876962607915067469116803278003682447106014626523629514176687461039042633504242902893477900350158873594076687695538446656888214360076673821782789803546201659437818043031601369428045382457707372189363543163578494556580331183165598224809707442184128611033247311719887284808768780551232747567193798185466675010515695486330911383118570928557243843084781613495758676545777933506985419271415185005756041549771527035534302160210918351671083406036208355550406657243450947184310611767025376500644459154489567552959365772937865556328566454354458145022930226553357383891448484959460232010182247313005120165698816551974462517525982776231768015210426242636265273573465131441083887184640539764035486716964714406881101143721080825003341074557050852105125956080673930684153112353856861162782053381346644238326128932909914806008909597772896468794060897827204356924613825161207037645793754674904182959117921775303909925930016328920490469991340162520885971917403486199559813105530253467870705559032257686515159675357970870956443098743343553547751664223696423355508835747726323072926592111120153020833275381850479576403674054620153117575102977918661599961525882015800347306960975646607888863509538484911836843388046516167095554306407798621819584829695658377701030168739049434755182705690180913470207931038856808304046145944197034087816249445902152809747522585571666057215881940821974661885145381270499190068102969089633515547037557812484277057046279129427287857796656716716941773487758723280203420417554937980346298640493144641655905748636891623676973727419657710453218899555512570821575770815655932548982568531878368489013784606501767901928236028572773261813516364531296616189605798297326063456451420267174856580855458680624055189786641619868059975738690566123914292793871169311721292048266137360988050479970367342969226188721324724816193467588999004558031328006088824000627049905814619818598739376092795728256158116274068585154598547840072475533228936185986855526613513979652969193926792056767303625684996574768147445336881658626754314736974645069148429960484757904420538427143981227918655017689431845237932451578837643222710030859971328319503770695181544713679587180801222024532432038649981788098558049909574683304719026126180142341804551039796181482959213634435981571087651842512646131470768735328088231256903362284167329692473827681485431263873196098987944395552598635183768001441480020958243238649854091833628307729144300933940200742823709665406853404396974578393804866948497990718306860889553302861630038437355235089556708004788752260105079260222262744120367172003687288342132607138107147282249871040369233323935822907117372929710849849564970661314696793570993151365474050804931885174767483610356562737001418038220623247499007012863524383713216048889003000851921892865382684367976122296413376686449204305681613683984152517188983636121007314081635019305244970120805045637114251811358913022294872569700362448998791314926052472611482418414667959399405243342076223805512309359499076507454216436953013356630603325438079699161198992224115815053818374946897326852624541989261520731285430404249318000804632126218134827422710513184905364910294328148933332736228663535555939413841876950992568568870567852310732413687483333284037788714887773322698813548032577848400695116977364753409724270286845019469869170050864654787361142600115571654441496275092642881322374665026965900767706949688740692119592030912892901125233475302953664142541077530932661813981756219800681155698161363701243421327639733609507248899342104136311398698551598791096108753706137860758361855039567124055153291422652381795418477528332367423803096963951505452192215361744361475853580391781191655782540573232613131019060216991311318358647817969812469161646267667332093709228983815360673379131140039914490543069566543820150747670448305038873647304414082903731803865609490941777371545564300610444510731962378282807781932894793606417884126319778028561813175693506186344899194166385926741277144937560659814988232644591854233019156457314433365008905290120266695630092396980247302511817889589837838015711919992456692102997595921734657236605789837650105453967913536038436677692793369758708553140721362320869843349924952872994954922717252482123459854742846359652241585943865242073733450265304623074834744529666397465664656237080125328282261029858283116927218383361610352110284632032637809079542103805618450793657131822441460495777543779728457100577190742476043226925058002701633887157098524982648345876323004445103207751936950483196106181018048482715688275086840271453067689036406700242105833098575465077802421433626667613180662431122463547363234883213043026579947402589037925805653590186000930883881885273661819878462454119202364762318495510387672357694662419884365622523500549265441103047042022992414548332151622346136119516960981018101055973193560639394883629903607679336297552544161861629077679823501418184861193083062577528852686567051704095748522047515529046939666016787344455306551285696998633519005773649720595650144462048091031349404922997030266611837563359486439945120068149967379208397557325411443351434014246599455407229772987135435078410137198310009702650291234581555087663135359786662644052156421418647633694276412083120688585939874541285796556692968590429448398057112648812142481831748013164136278561920403259086445467639459389232233424463188715224950804002133290783144185208001714729946160798195847094569553500035146120703493242809718281034010983780054081572415400738079087241410966185604529782747160762977045275121723271878459802088536454820058499787278216370128659676526944633461588161074477175732646065726366551123264841081705894054075939675958818679086915778060782611203572466824174733488788815760555444379155604754786490390192962721863591143453920203607323598543806790384078647152022468506206769330082415485317332624013891912511117111949969472743923237534611464159629401190686558462879326786033025131425156347683702706425077259535916037786748957538112825351414736280057932393396930086773936957358473524339137058298306386623201612821551271170219830796363971053392606525659937417024574548371959534470832167702140950538548937608161376608138829644828329267303927727637260526155460501291914511883973294908215278383671875309146028201872553649603248896581165672896569480950860976994048517747148307812413451930129438734482243065113113993231204333959013080806989951745618005878800783798833174195068288557129091434083797324171348991025585396292395883214676399808508435648079261610627908562999343162747092281852660028352801496587343306796240520874087321569679785143142760275056259949317150957145060891920534336205298387436804361958493551602437209594727485264098657825493476300664147338026212962354333023726093478003103888196394410146664904431724682647239752005966434878816613772032154749262644667045977513399199272013775743718363879472391075371641321278385026541130046446786328185279745290885527349662588942373207269392702594431555459318331865306025957289138124395913781331548194097270517804843448049425924064294572644740561535055937839801414809532198560224124289338076990909291350866984785897491584676264255318151547436042870113686088553226545683027870250415179193104073169166395287198127028620316329240008215051830682459295079419462437391684092581137324593930290529065759675602782674405922331567302652751418153727878451461126875185609307143047089040591982473988750322058407900831295237650130591979938595792071108682576386177675291372924069340515252607093212131112303026067081604657600024923443645351056384884566668122697670213694240299855338154624721060185887452988250079076833133514203433598540156978753416003873245767243704660124382500567621925234029333330969001937948047122467386196464154733227594229283640509158530825451243088358476987064882656201939183225364898316696826822272181700839278119756779006265701581991953173728393371786410313475063463689640653051881365287468038099796479737916517704135502086686160294236179048002292051954704162840387148628222159519821059366343294639123478968422860137765181118530097264520120853194192866188268940777956247860269745348467462959055540663308480883065340215729629862125751627777242640548316113251505817760148358200106358627312289823867739320832032598393650973334246864924714303570043842036932917892390128914064033102713889078914516040030569539467112769087972900919963553042533487347565884831125674262287307548608471527817333723496148261092439149535568156670.99
