5,313,411,032,672,932,672,664,889,790,580,310,885,944,563,371,150,559,315,000,071,845,646,423,981,117,985,751,887,867,726,689,860,879,001,203,318,299,003,347,639,703,194,692,159,195,060,427,212,210,330,975,969,659,366,777,375,969,258,182,004,277,529,815,345,180,637,993,626,445,477,559,183,307,505,531,120,132,940,071,797,037,883,820,408,191,702,050,559,901,014,624,047,242,514,834,481,945,590,380,610,372,525,815,674,793,067,155,456,582,483,857,256,892,739,268,948,556,084,426,678,510,497,653,423,332,823,822,492,630,462,113,896,743,507,614,671,545,400,160,419,496,822,479,404,336,350,543,863,220,484,494,861,771,111,679,407,671,020,616,884,557,726,715,925,370,975,490,497,943,764,180,013,117,888,443,637,630,788,267,932,475,994,083,360,074,447,810,518,773,061,965,629,590,842,854,640,525,104,558,899,584,715,184,185,953,245,578,910,871,501,406,255,890,441,100,798,124,136,708,986,448,420,568,749,010,686,369,671,452,015,198,660,629,912,498,467,761,673,967,698,601,665,621,988,481,370,417,945,577,684,404,220,110,167,345,666,965,384,686,424,091,115,227,282,183,587,013,113,160,221,282,171,794,775,908,530,637,351,602,439,467,697,331,026,502,753,847,049,027,557,739,268,641,539,141,880,241,340,677,062,446,003,931,896,769,623,417,611,962,424,848,549,332,267,868,892,612,900,936,400,852,091,141,073,898,401,481,879,899,139,759,705,439,308,920,132,638,424,804,834,883,963,168,887,041,265,036,295,130,830,162,642,605,056,560,819,856,381,784,006,065,256,804,816,654,581,728,106,009,327,667,879,466,416,643,499,916,241,666,673,552,195,596,462,153,928,969,230,952,233,373,711,467,181,421,844,781,163,690,451,871,789,878,513,225,880,798,655,271,781,408,509,811,667,657,759,258,000,001,608,618,765,101,177,629,073,925,324,449,463,302,421,945,306,545,063,412,163,123,418,647,928,108,385,188,709,861,339,678,841,172,405,234,686,808,637,726,412,700,203,640,932,879,740,086,292,753,984,842,309,590,945,421,783,126,442,965,513,688,921,029,523,539,092,562,272,114,451,912,278,770,880,375,621,828,327,388,520,193,463,755,643,538,244,481,666,591,447,553,454,328,838,556,265,448,203,551,387,569,094,258,388,659,943,060,149,649,724,909,442,200,896,716,512,068,593,950,181,158,291,719,165,110,823,507,222,144,137,582,043,614,333,328,386,088,503,950,236,299,209,645,761,266,910,593,754,988,960,529,885,793,909,986,954,043,536,786,196,966,513,047,264,333,755,816,608,462,530,414,541,831,719,796,810,181,713,029,092,141,322,625,896,996,916,549,323,781,863,172,731,377,158,161,942,357,845,570,644,407,894,099,736,496,022,332,263,286,314,442,834,851,274,946,377,709,247,703,760,597,509,135,707,367,554,242,727,530,976,950,941,190,330,034,125,885,046,972,883,747,546,179,803,049,656,886,748,724,246,662,461,505,232,571,149,807,913,159,778,781,489,836,608,519,454,980,570,495,660,668,692,635,147,534,316,760,834,802,982,784,471,333,087,960,549,908,675,205,459,328,586,955,896,226,018,929,232,501,034,450,400,712,590,790,712,682,741,584,916,844,796,415,779,837,845,446,715,397,152,459,974,455,904,177,462,978,973,179,746,393,403,272,570,809,405,956,857,630,859,429,038,530,535,671,818,080,850,757,694,411,200,645,024,409,831,471,720,781,631,264,589,960,915,142,175,112,095,013,972,736,100,760,509,704,730,745,000,056,771,846,161,203,529,933,176,129,800,242,914,254,401,252,214,718,579,837,858,721,488,313,015,522,173,110,435,296,831,614,963,891,159,292,410,785,383,624,081,288,009,485,434,117,347,780,718,355,452,729,165,429,310,093,527,991,220,451,992,202,178,169,242,680,896,664,524,465,387,836,998,676,810,713,632,794,579,769,684,396,500,160,849,585,324,713,030,587,014,155,680,495,642,290,574,206,988,760,198,410,587,465,761,341,964,077,195,314,216,870,810,783,882,714,700,432,739,984,804,322,785,225,734,250,688,661,485,045,975,072,429,464,834,037,525,304,573,188,521,346,430,615,069,565,512,853,974,498,639,126,639,118,777,520,527,834,352,438,954,619,276,107,345,422,226,631,774,646,916,790,572,864,378,200,547,359,673,452,195,989,195,026,174,451,568,586,494,232,958,196,750,053,331,812,099,349,627,246,995,424,962,853,163,101,512,664,525,435,014,003,641,437,669,523,209,533,097,934,349,981,493,382,780,479,494,893,511,897,912,172,890,546,851,866,202,522,743,893,228,707,931,167,690,479,912,956,146,854,318,582,929,684,598,418,881,152,234,891,400,814,920,027,879,508,488,349,349,742,739,607,812,482,715,180,470,241,334,634,150,213,071,625,814,522,665,290,833,462,630,683,740,040,518,840,766,756,995,162,611,755,642,218,255,392,334,721,457,885,350,241,668,959,724,249,647,999,365,213,905,630,127,420,057,286,401,931,943,237,040,477,613,276,426,246,636,769,351,224,606,320,029,175,982,251,062,608,024,330,551,255,711,204,430,887,372,670,723,067,836,343,690,441,864,043,494,066,339,848,630,326,849,236,960,703,428,305,541,993,390,275,844,123,524,173,187,738,672,417,018,874,757,338,944,798,901,494,558,753,937,236,999,711,789,898,977,062,289,445,692,703,329,902,988,998,187,487,814,415,503,411,248,314,256,790,663,097,201,728,865,723,628,485,991,150,093,652,032,774,544,544,169,943,809,493,305,406,469,482,386,115,423,534,631,045,447,239,920,820,874,806,698,011,751,238,608,875,280,561,804,605,784,460,633,658,065,253,173,244,267,168,261,896,204,970,647,362,943,205,725,596,422,126,989,168,849,801,519,780,942,765,818,408,349,767,223,393,222,215,547,135,258,164,115,695,966,869,394,003,183,589,785,500,556,928,156,682,584,205,715,865,789,777,280,431,215,533,196,126,499,235,803,856,188,864,970,098,117,511,021,009,021,015,903,072,847,562,052,011,403,660,363,146,463,439,086,827,990,813,147,698,666,221,851,433,192,588,150,297,890,408,527,543,319,636,882,748,726,562,243,752,700,691,987,244,518,989,407,251,958,992,719,062,039,104,501,530,523,065,834,100,671,397,678,764,019,712,497,740,725,793,103,657,160,427,490,423,291,671,587,938,843,900,760,832,920,707,155,387,458,453,288,121,998,899,254,643,710,634,476,892,452,194,891,879,411,109,946,338,246,467,674,201,657,771,006,460,471,996,720,145,789,810,494,178,652,468,946,280,562,604,956,631,328,901,629,650,043,317,906,094,371,641,360,060,516,062,401,249,025,435,996,216,057,659,156,560,423,584,459,000,998,131,000,978,953,090,512,514,473,853,582,161,337,566,806,609,001,276,733,247,404,749,559,602,581,450,288,240,659,333,881,919,450,024,390,675,264,259,555,368,807,493,902,797,261,719,295,690,712,872,328,773,422,951,748,122,405,550,773,917,666,757,686,997,976,464,289,300,429,355,778,625,663,976,850,345,174,995,292,457,808,265,509,001,778,666,168,353,435,188,406,906,163,897,984,642,703,065,097,661,686,702,836,285,932,790,815,272,410,725,512,643,539,490,884,368,291,294,761,503,875,333,116,407,245,908,834,323,224,409,459,822,639,002,546,577,750,651,755,398,559,328,734,296,564,403,891,596,953,686,545,708,681,521,679,865,033,176,324,155,883,617,312,478,491,750,982,465,480,857,901,885,336,899,178,261,684,116,434,762,029,470,118,814,050,904,573,676,341,603,685,897,910,125,218,208,390,763,169,333,782,359,183,761,335,154,896,537,635,149,633,975,396,677,347,487,557,307,550,310,367,394,272,965,713,981,501,488,003,815,050,955,124,990,752,588,190,419,231,961,105,089,055,124,329,398,799,409,603,086,159,524,821,187,144,692,524,286,782,483,967,988,210,142,439,757,943,879,500,236,167,296,618,948,579,703,599,089,393,630,751,225,331,113,373,244,683,119,902,841,411,803,223,515,231,264,780,786,413,910,219,841,415,129,066,500,806,239,635,446,771,268,209,892,642,486,327,486,314,050,910,126,237,769,758,634,985,585,693,311,140,693,006,135,853,124,978,598,984,792,434,418,809,606,986,320,530,693,367,878,699,457,468,129,351,661,606,895,200,826,428,648,588,398,525,819,130,557,985,070,921,780,445,664,176,989,478,304,943,393,861,773,567,139,841,930,750,830,578,414,477,623,965,772,775,613,464,201,335,418,211,965,971,609,684,546,477,671,198,820,055,334,096,129,522,771,278,111,339,056,016,048,563,525,644,916,056,656,636,928,708,936,496,767,193,683,032,886,156,016,665,292,738,226,935,899,604,550,745,826,723,037,198,340,102,084,677,378,921,933,727,865,794,330,730,685,816,680,760,218,922,464,983,490,724,550,606,989,214,584,429,164,542,958,682,985,577,678,727,070,884,584,088,400,147,123,627,008,920,237,513,234,950,114,788,311,883,402,515,377,958,941,693,544,053,371,310,296,263,272,179,630,939,126,753,743,010,762,948,373,497,530,583,371,513,455,600,994,896,221,187,134,747,501,067,476,206,144,742,265,662,426,605,703,801,599,450,871,678,427,804,905,894,871,971,149,539,609,497,449,916,817,228,546,408,545,687,908,775,263,148,432,151,626,952,127,768,503,971,427,154,461,671,657,589,649,896,706,345,345,735,427,282,602,945,860,639,425,269,764,356,435,206,162,642,205,721,051,293,505,228,394,056,893,367,534,980,994,439,657,443,138,072,424,993,421,787,436,280,609,277,954,857,438,392,756,129,448,033,389,003,343,460,283,451,903,457,493,205,121,299,001,714,389,526,559,259,635,055,915,992,888,297,176,802,001,857,339,189,411,976,631,986,517,845,031,336,796,697,493,993,798,756,560,956,924,638,409,273,122,337,006,411,260,620,751,582,429,019,937,211,370,552,629,489,816,482,440,555,244,941,990,955,590,434,886,337,225,534,744,786,965,749,522,295,660,842,342,422,189,418,221,705,956,335,761,606,313,136,156,604,190,841,756,306,368,248,755,121,216,171,039,745,625,000,952,257,336,201,477,444,581,507,335,044,464,936,188,671,189,062,969,143,940,696,952,780,310,746,270,221,849,589,472,444,842,111,427,525,471,985,522,987,331,898,950,397,447,253,003,549,763,661,264,656,224,606,551,305,868,114,779,384,887,094,566,013,248,433,065,874,031,574,163,404,394,151,646,065,641,743,042,905,348,319,491,844,379,800,897,115,622,905,715,064,147,953,867,722,236,446,191,740,358,654,417,833,559,294,499,747,839,964,893,554,028,139,616,611,971,112,324,753,557,599,381,333,590,048,976,277,971,186,095,835,443,432,690,397,497,499,075,931,515,115,333,308,242,253,082,622,898,401,112,049,486,675,810,610,625,570,303,798,993,305,383,646,058,277,118,897,157,689,330,702,991,603,839,581,848,143,632,741,122,430,402,675,441,717,654,113,913,457,750,662,250,770,046,539,527,283,367,446,354,324,925,131,107,387,283,677,420,764,796,125,392,684,830,028,421,875,648,952,990,566,611,188,451,873,692,662,731,657,907,778,980,540,875,784,325,357,707,543,376,628,662,946,788,897,304,497,501,033,584,238,527,208,868,514,833,646,824,616,721,747,883,096,262,599,770,543,732,141,995,297,330,280,024,717,738,238,236,500,439,874,212,916,307,668,125,857,926,331,414,789,886,125,985,796,097,003,439,844,688,490,223,163,303,991,630,830,775,781,322,563,422,587,272,905,580,188,746,698,102,468,775,721,840,624,820,307,530,871,113,898,299,492,424,332,744,751,458,359,957,237,917,292,226,533,745,580,906,179,623,855,858,035,111,860,953,062,286,306,098,218,347,156,746,673,878,567,794,077,241,487,240,912,778,345,229,137,903,437,526,976,455,945,175,247,865,203,469,804,131,482,145,747,138,777,815,397,544,284,377,831,664,116,402,871,030,714,033,130,093,902,296,004,869,047,402,128,702,187,986,495,500,251,639,621,435,127,475,159,846,275,354,166,046,174,023,689,244,335,299,552,568,094,297,188,594,265,690,549,039,020,185,257,972,448,307,384,545,119,323,689,147,084,075,483,360,664,897,372,112,598,779,518,950,778,132,103,351,765,595,673,078,042,126,858,645,491,542,483,667,869,775,266,287,162,565,103,273,054,920,947,274,676,163,726,822,098,553,653,663,772,861,843,567,016,466,844,699,014,942,371,785,640,481,455,036,171,837,674,424,812,242,087,054,062,246,667,695,282,234,369,247,381,796,808,879,097,843,038,368,376,889,381,909,801,289,760,719,553,712,209,832,867,347,526,769,550,871,612,355,017,511,365,283,600,346,479,704,118,399,734,159,006,747,181,742,060,005,410,767,605,140,894,560,262,725,960,348,326,662,452,286,689,154,775,357,972,515,575,990,413,037,476,419,224,538,011,211,168,139,634,186,181,252,475,038,619,960,953,232,765,731,281,052,500,137,071,287,919,793,179,672,967,705,944,596,289,355,885,703,793,783,776,566,468,414,579,201,114,352,186,554,079,174,957,517,815,421,057,354,410,629,222,960,263,838,313,056,487,955,185,155,986,477,633,120,898,956,652,594,833,010,621,485,841,926,809,035,768,687,483,674,326,156,059,773,855,914,723,426,682,240,080,815,168,848,725,979,454,789,600,662,487,451,570,885,165,921,124,432,072,155,681,608,331,268,420,064,351,541,746,703,159,307,467,543,919,322,695,527,028,640,944,112,327,932,390,855,602,988,555,507,367,296,547,672,495,406,707,649,338,313,527,007,030,517,479,795,561,621,161,850,334,774,687,559,153,054,651,113,090,846,631,674,313,492,832,067,482,690,918,208,772,164,526,640,854,817,046,998,660,890,872,656,155,205,166,685,437,196,587,753,120,321,854,793,619,914,549,634,019,010,553,330,637,575,381,158,487,643,566,525,797,985,405,158,339,761,229,702,120,565,789,805,927,887,653,966,410,088,445,768,228,613,035,039,915,898,138,073,848,615,877,356,790,209,167,879,623,535,034,202,306,377,722,455,100,730,226,839,256,492,501,871,116,182,028,340,050,571,279,975,064,854,309,982,613,019,540,924,184,928,544,742,108,825,098,419,350,995,661,041,307,130,372,154,091,006,811,495,670,861,410,226,165,578,415,689,728,415,204,680,341,329,947,574,104,122,067,836,182,568,637,610,827,785,159,009,174,488,743,207,416,206,077,545,300,340,939,704,523,927,402,501,236,349,684,167,339,188,450,808,193,516,840.399570767112568832
$ 6992536688792800518235955044345585060942368185604378075802130667921717224616161894991393837601508376920356163783393592469018362937523436435368280394575902502905866533713751571190764690999094358185222619677213056041817565877101046142191330467792037175020822873195626924256354078065600330912271330025999861425676313232249496685883505822903292751359315737467022946951646829712927996748410149202555573421416057855449613254108285467020980496006337962403465664645240134119976891068945487797514882621520056137557434620596349028898451243326280709699974968051827062868205130878048082090767417767057975597804535837453130536907815414526379640782382748609372671596335040726574686983102172429540069086253090882889882101458310253974336633211997101619836332708576103465240432609239745573741290082964993806671838918464823478697394079209757894116758634918234569917381398618012126398505844280151702868521582890275042511253396317537571685048752715278363585092639127498539932059376198119601754348804439177007137220033783577755274166670947362199354771795441565813253400672101540948741340168854487297691927155245694024467236440525888862448163292644404652031523898141185589058452423591184167545365236667554482341645236853874145463989618353698526491785256556750414866440881473663192950834329253073281018425499571122216857787479185325854797910853842251124339340274392218503008336451249117707978803674279143404057635093166678753287599355313793522428192571547757238645593095080847392550719667071950160489265808801786291341110463078937712270467845528163495422653181906946892289962189823488105280518068138130470938840298980279909508963683156168771623834494205949753113373956129006184219269639995036033781816636707683012636182638291419809634914823674584437526267188861296025361020570506029457815890625873612296889354308458947411465498170566533807875528955174736226415341272058951710507475489561834322970604136741175604899401125836858539203175068339975702721943872399153783566521358701104761274355524070892945957240623914442791024316337748013914155319130934598394219498989629292537540369041426037912397419555236643728747620284490254250000952835133010839249569218889894307596493501639011084514778033651289443154265196175691640037954677702295975886164911895012710346753478005225894828662036347216498801681848823553451957087844460980576541331927936232343402577369294352280504520438724103075353714014076138203314770427755318580017339340638705632825151183841452115869340214712509570457011802754628264258143391513607035997207097871517865532003083020620760532391025993515630101210740277567035675538304225333833805092550790924813279557086223431427400517973331388263588204728937559184287799082335707768221168930184918750611668219089681958975793222922179710935497356783665020151361838595913789671408048132254362739495875364786828927308046796677921716686118824639436499921177808564018722546724650109337361227824876642340915914677987109651148946366980855224086541859193417686999371670429428696155165822823274677798400014282198388738968935187032245158328850322475502936178058311367698072249012319514613238807550063762624002158406227544829212911182159390939007520452634829334636904208894954033585688964737162230453152931027933076967024492051856917755754179770236753604311758607563330670182528554247317314504081784075542040346070724073992777682255571530553141507420481189023426657112801212033031451718888987228357886663620419024349686717031746467301285016812191417702568026178598934268418943533699774237300147043359974388811007784089973196546947999295032042628108721780057487610434419775841624070388129751442865551334366047202529802175565808337747372014457237763614370015695172187601300517554871095805967592454301255414887901043315567615481364375229077324884849536055924539411543294791975873807083369086063631937862479398690105262412552596086772040512062920520067692222099815361270952468974505809431375424814682581876951053014465430642534054072838366833711167154218667893900882037216012879563116033262163042162613789825442349011066434377236631722456878786366329601859900320400142316760993000345959227038962084359225983110337619675210903265383576427668092006469972453611550603806964840883025005250415847887025887394834445730094930218963588827779475470887310754066429969863997970810343713894162717314806444052559872464955563615402243261709935308183272982071370279348870000172111864546447610644916874964550705231149965310798711176641774165270345137060504841597551910373905398703944644740353684603989903144192719784261775468866017690492633455834806471903412974275657944711990350561845126838954952692125125253402657785501305772471496405321135840247056996257566070880352510529300025635709853431205597527103028126119456368893832762360792824909851344446481153411664741077634960003598143568917851938103441263719864176797291807735266308068170633901128155751494684684351741833835900139992108974641507294255692792537250298443599814272124424855653470786255341959288824170767302661918845246674611251275268946640745844554951388849162800607783891591302917394976576878774394683647526781006508583392876604777020685143883549853441255120955091154669392736112856657346706822041091569702324449136579938596579241011192407902262463306572316622724842023329076354484434055834485021870354083584764686476252993987642701199211566980766917129285205202851968756509445849588331785850110266994581807657982162320121254434928241995058321434699205512585180029100443481063828954945756458238897624826667981873134092034808553002791342071960477274930100734829090461682720286495157367268951910404471592528213194918495313052413521194446508677987986656053115974909114775474567731781821713383882937607283080468761733659169946531526648766871045649626570042192265584903661160693290412953256881364795673078208694852368564452857305190661346285734329208980844000866187771961814957125490667290199563707895562474582428480931030120348974242261073342109465249827064917785125193063749391700611134226679075994533787748143468506799452776322659952786087390013972226322812569591480451296336518169607129954083929357904165638638308041469629569240952470001050712475239345841215064569133309977128037853636464155412293861753578960886216832909061946761534151274637529678557564501085616191195312753968208808361339042250156500040319497214294554813164789419514727241076567733221085604651326328176355060462159927102828267948563072855548889811983947504653646938387960554790337302668373462693370473958786704672706243886625349998910481705588991756332123325186698912237672448851911482467982117245435383526105491402460891522969468028073737120641944897851415984362632997880819163653466293545540419434792701527271076165427958147904078416366974096665355712961032772687311548336591465038185417845252220478899860168338279687584519970939403727144890091939637162579217214294772269934864265567958270424907536492294993246248876282909579106664720552624414087992133879712762961898986618017262698564204053908778607732508620952196235243778569566613922062995857698027061275662836872298852542935934785044105969764989262217519726366196764648030782679901543379921238283850737510073249548854841796359603315205622899886917094080254079789367626322931783803654655031829012232458937307731090403856752046663627982699604244192227403945920411766777765040686557225060811254579507272399266642429686263990106377891078633539400191793362076182846558513152877835852938426216913075672887293004879688026043694978138074062597041843482928116416987617577831376698986788305891614243810116072752171793275464190672260576296891319393198306400822968236370831069052440591164275200972829854306035689149972946138658616552363648545813065258082021627192943791258281520109130905746227182798891992340128563057648002868481462796919778274733536657077656941579979267376620437510390819503957332442001006573643895335055434614593353397663267247292439990287504356801694675232647196368167329810408839732343847450028645656977028627543054404983110114819840939856140027412167183664370547779284505392263861205223243298982563758409429132217913924751970399664548680418152172572485273086134082376122678073997163679586894736223086655317164664255127054295435747304989275573592395848916338797001352150175448902523741569535433867863572925550410341682925399143211730936827626439876038637183640047926586514239203200601167530554180492570130000631114075744507535631395193956002970845114071845328523696006819481310575428543187268859503364486586991966509504782050455114228606029087391981561696840461696133527888715322696287286309602269673046206351318778839510859498754709678223015625062837576298954741629731772128040481408877093059632887933190914322640164682870592580088724876181003092197804825395968146318656635389365285746252305591519575619496699201966043493845658538678505145476936207288793475801137207957417910257274591243837974943562220847213308407663054976878786296013557298586968316510428337379993798225600146361539260399816016450475123941251335263990852887726435975510891027154587734418522713211783824828982949851568397963903784296443029486186918742673483149585818201806901670182897966734847861761431150951741839644242891347607720699141726767945412663885998163450859703463091595909853296771141826475858449506093971365808814073792185988782229358658383561375716004212307474436572159492218590109165636503400859657998523831511001482930196129694622314247685751488166214645700768224991531261169479332869329622553482456784126277656893854439986875400284314789287913132187123319398097010915107908193210803887889361528433473024181350992435540109215792891544737351183282803242092187972200762331584569302959851113582660264781642152161421352389177233956932437983693983171874429142424407191594564485128996589151300560971267174800110921234558771038875930169403737083248175946203293535555433790731034427104768752327909545952925324315999103827522464906943059496536690358243252.60
