7,462,828,359,228,506,374,816,960,690,949,585,712,321,789,463,226,390,283,915,327,769,633,966,190,703,571,583,630,221,667,871,387,731,289,417,521,304,831,946,774,955,936,165,308,785,521,925,369,878,497,053,379,101,849,267,576,021,630,086,958,520,055,015,828,820,493,745,310,453,387,629,791,463,549,537,896,901,104,311,942,194,770,736,396,050,205,829,697,354,386,448,225,187,438,650,708,390,136,180,833,072,296,999,190,277,398,844,816,887,602,003,939,685,757,702,688,295,360,556,872,080,257,655,974,725,978,151,028,422,517,500,687,071,678,621,044,218,251,507,533,599,989,590,477,371,110,777,929,857,482,636,734,696,266,714,877,801,926,717,472,462,167,070,082,610,893,511,834,291,584,027,913,944,478,821,203,803,199,929,063,819,171,587,861,047,016,646,347,925,620,437,510,520,748,310,903,990,252,308,525,818,453,845,305,698,169,128,269,312,297,382,495,430,891,645,450,196,967,080,969,057,801,198,362,564,087,338,574,803,038,183,721,752,958,771,890,198,716,713,621,237,168,461,486,332,237,679,361,607,063,402,093,664,407,909,143,064,509,318,468,286,556,489,336,294,130,895,149,732,013,770,534,327,622,495,347,221,106,912,313,550,559,023,493,584,878,620,467,183,284,835,660,240,195,143,260,040,189,112,070,438,809,895,288,825,214,207,715,894,008,947,051,063,234,376,611,402,777,412,300,399,781,427,605,906,908,080,575,166,486,367,307,007,156,518,917,123,180,280,851,616,432,571,194,452,076,870,462,244,674,359,101,629,971,808,029,709,541,795,767,668,824,383,475,888,162,384,783,758,506,797,579,665,278,672,767,566,113,026,496,735,503,877,853,913,795,132,244,356,652,747,412,255,260,997,467,676,978,266,324,623,728,151,372,743,346,539,423,970,590,965,256,028,428,774,556,336,196,350,916,872,726,725,711,008,792,401,559,230,583,056,895,767,494,338,118,712,933,817,435,688,014,027,173,242,618,052,544,602,816,818,026,130,158,760,809,898,422,036,965,428,138,489,950,290,300,584,287,426,900,540,710,002,729,895,104,033,243,313,051,798,177,304,181,290,012,798,645,078,016,954,988,346,748,466,673,115,078,836,372,627,938,631,297,233,709,906,022,504,403,246,106,333,021,999,579,907,591,331,016,041,593,427,318,097,515,020,145,021,879,336,912,142,503,068,253,703,393,058,538,745,303,383,367,543,328,727,496,039,884,158,429,470,538,354,832,536,801,869,700,335,381,959,075,237,339,568,242,613,186,643,028,795,788,962,267,573,018,116,140,976,457,989,792,320,054,698,514,178,281,736,743,949,376,365,529,211,257,762,092,259,502,724,562,279,646,716,769,918,339,073,733,594,282,101,359,888,494,136,206,827,391,935,038,692,934,167,287,164,675,714,191,896,571,376,168,315,763,559,860,061,688,523,338,688,432,481,761,539,703,974,699,053,700,387,934,128,476,035,283,183,894,923,447,401,111,168,444,925,912,834,379,577,978,970,470,464,541,132,381,819,174,218,654,686,181,289,340,496,187,981,326,257,283,580,208,040,330,785,033,261,873,164,719,474,394,836,120,353,023,005,821,158,752,854,255,625,371,319,976,499,222,420,783,818,967,571,715,824,369,993,820,290,466,766,564,499,953,368,400,256,634,278,652,985,563,268,085,848,743,462,914,844,290,308,370,469,822,055,637,337,465,066,923,397,686,189,070,245,588,268,651,894,839,718,650,294,025,111,823,988,115,442,560,431,046,894,781,265,234,823,661,591,680,127,533,550,857,958,673,797,379,481,119,650,688,345,154,037,721,590,779,049,435,395,598,323,891,982,638,744,670,169,220,260,402,924,054,097,488,445,846,932,202,264,078,604,905,630,914,647,117,313,776,953,596,615,329,409,585,267,473,234,470,223,761,303,512,178,527,225,356,771,847,047,676,996,372,193,983,286,588,851,634,350,287,461,644,538,676,809,413,072,212,557,897,777,657,496,826,747,189,106,668,135,008,329,829,889,849,185,494,580,980,089,036,007,135,811,068,093,600,973,149,567,934,996,231,972,366,107,645,662,577,573,865,389,991,182,446,561,122,421,946,328,674,395,896,269,955,377,896,826,271,974,479,619,857,110,359,403,379,449,840,728,524,190,635,179,567,067,528,585,214,772,808,207,700,609,336,593,763,523,631,603,898,732,775,821,312,024,344,383,203,226,931,841,277,606,377,138,442,005,140,607,703,840,248,108,521,499,783,036,194,776,723,570,104,995,673,741,252,436,494,898,840,852,258,807,374,400,200,801,505,775,411,376,368,515,422,877,634,872,255,184,816,270,761,281,733,943,429,325,111,466,719,364,120,895,828,397,285,865,566,625,487,750,264,641,459,055,099,734,650,291,509,195,381,870,505,860,598,175,927,599,324,692,887,024,665,641,979,146,086,721,101,127,199,556,207,225,464,399,352,750,156,161,579,900,518,312,792,066,976,452,683,719,286,830,192,396,494,986,635,170,198,055,066,562,639,653,519,301,164,804,645,323,433,020,364,158,047,628,523,097,383,951,044,185,114,335,945,969,989,861,340,508,696,168,921,762,601,974,310,737,983,921,073,650,556,452,724,976,333,835,998,740,231,136,444,629,021,030,860,335,268,101,661,192,078,662,287,728,048,210,607,905,495,086,305,729,839,263,558,298,291,780,118,690,678,541,796,247,081,305,639,654,930,375,725,794,642,809,319,982,181,232,912,209,978,605,773,365,014,980,273,741,313,928,929,576,771,451,650,069,399,178,138,518,549,642,277,545,985,178,631,883,221,001,323,728,491,914,071,608,954,117,712,058,219,575,005,348,833,652,171,296,254,920,710,055,356,992,496,961,996,579,710,312,119,677,046,870,636,704,809,639,920,752,261,501,604,944,355,094,997,949,081,664,243,307,457,339,785,723,683,416,800,938,869,913,323,847,212,598,872,966,515,565,850,236,989,076,827,381,965,019,204,138,920,938,917,782,207,579,225,856,864,894,049,163,563,820,719,320,892,291,425,900,648,092,514,103,667,295,100,597,305,157,301,793,062,602,129,720,866,973,812,311,277,893,424,271,063,352,338,453,886,157,444,740,105,710,206,499,595,202,394,520,842,548,123,190,365,705,403,621,568,757,745,463,325,212,485,663,275,630,334,311,242,345,244,805,499,260,211,930,821,173,483,940,395,348,330,725,926,883,279,687,546,039,423,101,361,958,750,400,721,004,505,073,463,537,115,298,556,877,439,901,988,389,348,706,698,542,721,673,916,428,067,950,597,457,999,583,463,162,120,457,525,890,852,943,719,246,946,776,193,393,272,471,063,577,766,165,886,552,856,382,117,858,411,116,671,506,686,498,409,595,092,511,994,314,741,892,153,886,439,693,986,629,603,748,239,383,086,204,085,294,399,808,031,670,919,460,202,340,434,339,640,235,934,777,214,384,571,074,594,104,542,653,891,640,042,621,513,478,446,022,747,093,404,445,007,544,573,931,935,546,416,809,224,023,296,547,431,838,720,376,174,042,342,755,337,743,062,516,350,291,004,207,797,980,416,922,245,299,676,148,038,117,647,014,597,232,689,038,765,999,392,506,353,782,574,550,057,184,638,039,384,936,615,627,572,430,883,712,110,438,285,830,976,313,556,957,841,315,171,212,578,859,980,821,433,933,588,798,679,994,871,344,715,254,878,551,770,048,001,581,315,055,316,244,734,327,407,504,495,805,668,116,252,632,923,582,729,548,216,225,177,121,610,248,314,086,829,775,442,462,074,061,507,362,196,384,690,909,770,478,881,454,376,122,395,162,910,486,989,173,739,339,903,016,813,361,912,146,692,381,998,189,115,717,372,350,207,578,562,390,685,273,735,716,293,749,522,360,316,372,319,365,934,902,526,592,312,398,218,466,366,350,437,681,836,927,510,325,385,226,284,236,261,306,287,830,376,862,238,583,261,025,967,802,843,529,445,320,588,894,859,331,801,850,119,968,634,942,566,923,931,596,186,601,268,755,947,868,882,147,764,445,684,453,757,661,287,383,843,050,491,870,954,468,660,226,641,813,098,925,703,561,910,091,066,879,122,041,870,175,389,607,560,685,986,432,877,608,859,678,873,739,564,775,842,599,493,591,862,982,925,719,521,969,502,807,634,325,516,339,327,581,258,228,491,239,604,814,042,703,863,301,032,007,189,984,985,129,915,997,781,215,162,363,860,452,983,534,869,290,667,941,878,294,827,335,530,647,124,780,471,746,606,742,013,358,667,578,414,010,483,129,376,428,243,063,612,333,001,703,738,838,990,284,144,803,526,789,262,477,406,102,675,428,927,046,273,376,512,600,072,993,854,381,874,234,609,759,433,980,867,333,700,282,032,934,749,116,769,972,844,631,516,873,426,986,192,132,370,034,085,740,789,801,183,397,493,098,774,580,218,958,808,028,639,369,527,004,666,285,048,226,289,605,575,100,086,745,608,833,487,951,485,980,889,116,314,002,051,822,161,119,320,973,774,592,529,836,967,145,620,012,985,635,433,984,363,117,310,797,135,061,696,339,382,832,949,291,671,006,216,451,792,430,863,983,743,356,941,741,557,154,292,318,611,187,441,534,928,796,401,825,839,254,129,499,449,003,789,928,019,974,896,177,277,259,861,039,998,241,140,848,762,271,371,005,568,791,367,609,697,846,851,239,522,982,124,750,152,863,382,998,680,687,092,897,991,139,876,071,725,517,014,135,719,556,212,707,287,698,923,635,922,414,098,905,707,303,177,100,901,052,232,604,031,305,662,976,105,246,947,165,378,823,844,962,793,473,912,813,874,028,295,008,639,605,137,525,165,672,370,300,996,710,644,935,407,975,579,692,479,755,349,724,906,770,900,326,954,315,564,317,499,022,258,113,020,025,429,547,440,751,077,687,281,745,563,127,535,719,504,824,130,199,286,964,101,761,046,483,215,963,314,641,486,495,978,685,358,814,355,173,761,128,792,619,832,301,769,395,521,761,511,337,399,485,702,908,134,385,658,155,314,171,427,376,690,491,019,067,441,687,117,047,620,326,399,089,697,533,936,880,127,598,997,650,158,634,808,274,367,644,998,795,209,631,843,377,254,573,788,805,457,502,083,987,333,248,340,711,888,459,339,659,427,313,562,896,936,823,766,290,940,496,151,968,619,658,565,214,503,769,428,583,952,855,371,772,702,589,476,835,619,951,655,709,968,995,741,413,723,354,905,522,503,930,601,336,247,641,826,289,354,323,639,628,947,445,641,679,888,690,696,827,082,482,541,346,931,002,552,321,916,184,218,659,749,925,756,182,971,325,223,035,861,764,648,909,902,830,797,267,298,109,424,984,336,749,680,500,764,542,041,174,413,423,424,090,855,953,497,945,508,247,013,508,830,202,015,720,564,148,496,373,943,969,540,921,085,327,425,454,192,723,401,884,027,025,577,352,581,881,667,655,940,130,614,305,832,546,056,566,706,951,874,746,990,786,863,873,329,002,171,180,381,373,280,484,461,618,358,187,840,261,766,661,384,939,907,639,864,334,979,072,160,241,143,739,693,972,383,950,476,162,980,118,580,755,304,184,085,362,725,450,167,510,704,337,046,953,485,617,337,560,192,465,523,998,708,230,140,125,414,287,368,837,772,134,986,562,612,770,076,706,993,782,706,749,959,039,790,414,239,791,787,806,154,637,664,178,096,457,942,554,347,087,711,029,054,472,404,415,395,782,557,137,604,148,115,177,662,215,439,077,319,742,282,831,461,381,038,526,210,637,171,438,508,860,613,001,840,491,580,664,070,307,928,382,308,677,208,587,817,025,730,736,890,096,925,785,004,444,636,255,692,521,214,127,280,231,281,364,444,284,891,571,674,931,606,050,267,593,568,285,896,336,875,017,091,938,784,852,205,641,234,172,539,594,930,797,011,223,594,180,151,567,241,640,926,048,761,286,055,128,293,289,706,893,669,922,844,977,770,316,359,744,991,899,469,792,331,091,909,220,760,182,223,908,794,509,318,954,571,545,555,807,337,968,807,520,446,460,356,038,397,768,802,388,819,158,163,491,376,895,129,966,722,559,616,519,903,524,205,816,744,922,529,002,301,911,751,222,398,438,194,727,976,703,409,726,404,498,869,060,124,639,594,513,946,554,476,657,280,703,234,295,311,899,500,901,465,970,861,426,268,808,734,499,041,851,133,068,197,231,986,564,320,747,394,064,401,333,125,223,944,094,788,098,352,759,342,270,613,642,520,476,713,704,151,070,117,003,923,054,035,358,998,656,652,046,839,194,333,826,576,164,961,239,846,094,820,372,228,478,231,885,331,130,631,286,745,526,104,742,755,468,471,427,571,115,998,321,511,131,011,754,263,374,924,628,944,424,374,482,597,764,789,500,757,268,995,412,417,218,045,039,791,761,464,526,088,870,424,721,778,780,787,085,080,444,592,556,606,092,379,603,108,806,114,980,913,195,499,733,840,145,458,215,361,094,819,194,046,007,926,501,036,819,627,780,324,542,502,474,224,982,826,077,025,839,457,587,976,957,850,436,996,035,750,704,799,846,100,955,571,337,294,971,255,997,528,154,558,263,679,617,483,264,775,476,455,979,424,809,728,357,006,280,128,387,153,785,093,659,747,941,339,175,815,105,493,712,092,993,741,664,998,704,943,765,897,410,246,253,616,754,827,377,121,766,352,005,014,284,313,792,151,954,088,458,469,710,792,259,787,388,938,748,480,792,486,374,193,270,680,775,771,333,249,894,247,747,519,212,544,200,888,281,996,554,431,016,272,089,068,546,464,137,309,624,611,758,177,663,129,315,031,147,743,609,555,836,368,769,974,855,978,339,054,117,357,213,205,195,922,437,157,207,626,229,272,897,108,864,421,172,856,041,000,453,940,961,406,428,519,396,920,956,925,969,123,714,133,430,678,011,363,162,029,351,094,156,390,316,737,942,690,976,026,578,285,234,307,416,048,557,013,196,202,476,826,133,054,597,014,379,147,236,634,011,477,594,795,016,871,483,602,345,663,806,760,444,279,037,586,012,731,169,635,400,335,517,983,003,237,692,695,442,258,631,621,272,819,224,138,195,575,319,848,604,829,390,262,628,798,667,411,337,568,075,776,235,644,984,652,234,319,868,890,570,621,113,930,320,629,474,477,034,279,387,681,728,743,512,214,114,342,472,596,760,200,273,487,135,817,929,625,161,309,608,722,936,301,555,846,047,806,868,536,782,895,958,656,431,432,203,452,048,933,544,101,353,048,297,905,205,462,427,159,204,130,904,443,179,196,157,280,848,091,534,579,097,087,727,321,854,023,837,124,017,965,826,346,997,366,099,032.127607566193655808
$ 11039677456266842255216004956825133863787502537148894337431441552417410039979891483332732018503874921498632384377102988994675781885197619297546998958577749153756911345108200495594577233217674456373124549249647705073776502969608049206117377219242745481763763064758194448248381464514966056305626955442679239487340151282154365979221849053287356743736482020683669500442990094821247679090060956822969985206821174778427260399350723775008502804454832671277641173880628977142144034544825616730994491645481190610784649753026709364650325548361659142740436085457773646490765343029560471169940975589229770805260348321063013986974333115874295250191696520297044048507597078583726110727362321207759557897081540056390540515805950700746345393742163035356360326164496008345266230001420058738112399228182708610495511439775675506113527928728374337478921088205210098092033619253574253599806274799331294348102151236437034102924334219665132665242363913358029378384402352837061681783413601569837635137891208349503326376884011834742501883091926654340164650429396224306588785148150773315017942484588865192442688469040135933064351272882405833763972246532963826477228234211601497284360450670845378102373364649861679358273816877949716380223770179780964520886456583998830767692930074636701322283727740907698575601452535976441021828068247745714299587486394547327199341336796457194689933378157088728153244429843927549166343834947283359392858515986571831271676839752383288429813264109298029890639710067530038921085454906652652421345626969336568086484558364368223528743151681059765954974617185499139566574576127093239214925292371618964309385944978766023689794243777812224538895892125810548811618574436848530065909258018787320435307885102751496803074669852535823243600348705494941687329269860733933565767277408482332450345819869593714597775709124827608859456248945345521468636313902948159812893983609406655899196750130497838967580138329504711746168674015726788807232301155662731077250984578544213422771670777859726100206592198496739621849765641323067264971509863667368041541144353900912883125929531232046368843737107580477249454785464888878015833624579118005127077097010305694681994062577955876916140009486388378124294624693294611394103512473499441759289760944694964816195304873711496594341298291813849706491794773815404845866301118074424735318672909383343014569347594664728334129954259889015698645352267727384556585268237662043232720527879968910316654229254140020268059435467313063714147203769059825132312791071026118191988662128647839338708065991884541501462600550639658201256866972444676973151156345428106503649705038214964242689374013501175928416902360490302371393663254623516833813986022101177046849802020020076321740238620580221993624856633657035006305717472906544129902044069330693371867356363977550330338610409939756898417018639406777324901464381737173173703247429613073978720757844446448218949951077175835443146707403315912970830484769336148922281857944191481638308652890525685598613312994589795397734561809484217124476281602660288183906286575975001556450013542605078165455041407582818312368854733945352353558119276017507196346986193750100517712113983004009072796157382977922649178114223014779623140818587843609536747248497074602340742462337671902922206440603243078210990510543033638134160426486342039069697573804728395577639783989387680907988363588833870167387607831563466542486503096691454545626983048500682419551652686713675582462376240779412783053008512997000949787142462810856904775724035220897111386558283188068546370702923826793611192714229685899577442059159793597388298141506270463821994788607240952627812740672471748320952602756028690389540270944723402094592953431943133546797738423656175745727800746714352502573426808844444783794980540779438504159213407965003233542867381067664976450335396072245999144931691022622520323580383279728262775268228583644366278430093362831262237664219895397109271055395458470404672249568169357715393653574698727588337976256316849298749187944656493520033558457730107802844526301168676082013948209772708171719939972706364065380619382309858396721275825145907530643134887646597174100972434179351481169437059920876801552280490088178579347857387798839358830188589825972626468498026450276252382494540739449642826467666130261302113914452258695247265526387126311084306004041055227376665968856243201676299178239915334963818729073949119262243241794646547697506967012754383390247050606885365153697210771280429111588198608755007128858929855210825436933634653605391685850043521250374062285438704048578982560207237443671261831168205611740396946670938417965783659419388192854618201410304289625210815943457888167877850349376250886012854659223485755996742568318801039330752686345884636953423794081572441623596713418469138269307630059991840107167840000908695678273484072303466514177388794779561144068055080294625640173577667172315037862982348085640390536313376785451120970466873552130166418876012113250556582712196806573544372883172502160750948527669433450404783452445381803924751056055227359740990826130655151804580859652834656890325531348552461700059915515190939197232381180868846289813866997886128104600792052630826860798897628592575254374904656352329475134144439687975942429359065501648746319699873850305693858931272192675895193948551544018810365249949816153354496946453353222563902734178453451664721341023147313243822231253131957721404417199627770295236781402308193099319550096761400457038988592107960255439378760451801548376062114580760045879407087249473075157386441000548657643442642178208004995104247989188386403773551507795518545127026122801942714860088413474077476450577295146763309500179752812999702414057115243917909762151673334086285397207007995639778118332128176348791613079198035210766694111517280200591785650183467924421464083334840362048461832881775153129702303345189654633490204460161899195255672151384570847798654746669697025323490743739620015233423063934727657101830350072815837291185140337946696994042973812932728069387409684289156822963958444927657626349309435954324466650678485461536390922812349378635885022349025996890763835520889765270099709558359354108207128607859389530369184678633866452058178288172492212685290646026020752163934211995054985241459053206864644394805502258379748708829160918180718134218631513897639296459688271310109350962505400854395239575177086114241535713253459725435023157108318104635288844976086939129547894976955446798765343538438276755380870301121609429579805330749246864909379068975302049316435024614138091243051654618738852085268361944454043671494137886950188759475767179773028897129620343602833268507259030297142281613420129206719009250331560276490532214896422117547200347758112886788054449903576901505579587144955672833285634678223478556494780868697413293128514735390377015155295691033706893353510665427834555321164004185629295709058187944357068490848472077973092709424599374137114957980026350347789425642590161885788125887341678067312936399679909231312610811040475553139961768325896588231169971955413453098764576371793829399201191757342222316013467652754827779178094324190400879708518223175124595610820507421196608200207527082066704968318886848483171913320000211697355685543371626033476156175279863062803339739935869638139765663473372151320021037137235187149123289139718795710613587493920627809229488043300723712942508412874009011079073589684882966140650331836464335334709439103677977366769780924000930379162197964638954001043306296407862865660112564795402388475714679531334009356500670016139666827101165643797817723851945664706886867257098352073988180913930988769824778388047509503391519969551713387563983551761748854721207026027326947012747385704707855250164326413277123711853403405034089090043998818683436713970668421276850928929841185097268004290378462737259397320812048180341637636444084012889095806059018716013540555782878688977890510907733357843582010338897875421032565544125790594384320107572845517646511055353604920934206571485511175471282969527031570539731116080405845127808108605558257826234189708932393650440056032877340247462221234030731227798433887749508615522294098754048564308011274050558564875679035239995327653340804250026470029269286528025076861842787664696953312691902577092077106705101432903003907709641001051142239550161830765543329744300430063067806729055464829574396884554117707556133912062482244285802776479914213079403195090441656553803891489048269709122665826871440947969027068004911825822133798840241799141075304911283353966187977742040677327118923343517955689570101782573004557726563007404091817211775889874277518281366824663771602271876850934587429698537849198218555308675349272750576378671856628905678831105120341349882936750531183750993691240045026297293638522789679482849187370410155660245745814940311475103543766761061398974739083240775858643160656231498456871905402252684510057098478117243166388341514748545403964747314061683201906547946870213828407751838655496713027224188250896373064053123209055634212603292699413698244615237452024196918269012683982447119598446001546909182892644470883887389099914100387054935878610358920013009575609583616738476840330956462139086951881260254082057176684067041313828924867824768871172783559470825660936396548355966743996512408670137727749384162877146440157283297299513747781994149371970442039356122324181327387613024283229534357657446867688001403298649115576982079036700953611639921219120370635453491480732800735505646335564107253049683790064192864676757531647678106596969357657499280287486619769655938832873478525538059414729364198147890558571541269928971032488770301552637549327191848402435740347956397219893535517459290265921269752452858660888951644197068031407769860956020566903394217153139604927202668960476148292490917556016207261219115861071800228556347186554539098071081148417593419677647257539510279993625524958776269124590383524687141020862714266.61
