2,006,178,419,819,158,240,371,349,513,998,916,421,891,808,634,990,205,268,931,088,576,202,863,238,994,650,688,359,148,000,635,217,776,221,321,325,217,596,639,215,409,904,225,772,540,365,987,739,003,669,962,507,662,097,896,031,192,287,814,332,061,420,113,001,621,251,424,401,933,185,679,646,535,062,448,840,851,791,207,265,900,979,375,822,406,349,961,297,520,399,057,664,226,505,763,439,928,947,776,153,088,766,164,758,414,172,464,948,260,384,258,981,386,766,966,545,085,380,352,670,711,292,811,273,705,263,278,120,057,641,294,104,133,779,062,103,870,529,425,932,014,884,385,012,405,075,096,902,954,690,704,444,617,508,338,634,863,023,631,744,470,477,798,907,217,132,830,384,909,257,643,409,187,521,333,578,727,081,964,563,969,919,471,779,615,330,452,696,711,724,949,926,751,369,802,149,812,932,098,198,630,071,172,063,029,873,719,542,502,020,074,763,984,117,163,257,561,937,811,874,639,041,521,942,620,047,427,835,505,027,243,862,436,144,622,136,733,827,993,407,134,483,043,916,263,882,892,679,714,229,796,438,523,836,126,069,309,020,961,710,727,326,656,091,040,894,274,664,972,131,616,966,285,314,190,799,899,022,236,935,674,020,857,505,409,535,770,864,983,426,932,024,673,135,558,179,272,712,237,225,816,273,273,827,460,370,451,540,822,985,526,277,166,744,863,369,348,761,957,514,646,016,179,874,396,841,179,239,267,703,540,767,178,812,448,609,654,685,340,808,572,764,383,009,299,600,398,056,162,504,876,841,736,281,165,920,991,472,581,201,988,384,960,634,694,174,263,500,644,540,805,134,645,803,480,638,513,227,329,730,207,420,969,519,705,606,203,829,700,350,798,838,449,409,924,822,584,777,468,426,230,963,127,714,285,554,332,987,467,144,688,347,006,919,561,217,095,474,783,166,475,505,693,831,335,697,405,431,296,792,125,194,776,502,734,745,538,024,002,414,042,552,972,457,302,772,976,344,151,383,686,204,384,855,861,963,293,659,617,032,151,901,635,109,875,706,255,755,672,404,743,731,770,557,693,721,931,114,800,625,184,714,306,965,719,864,871,645,464,545,322,598,738,654,153,516,653,051,248,609,250,305,157,891,023,266,938,077,810,905,333,462,742,188,659,366,558,011,416,806,157,306,474,922,375,490,993,121,017,244,974,218,629,508,907,017,656,107,352,752,800,826,244,382,633,407,169,032,204,451,167,893,954,239,039,746,747,254,339,023,830,252,364,446,026,210,161,467,000,511,397,104,121,386,685,195,086,837,057,689,999,236,752,448,970,804,324,066,153,899,373,426,945,984,308,236,340,566,286,781,130,435,499,661,355,093,030,722,398,877,062,586,261,737,783,279,436,771,572,971,837,206,431,906,552,799,614,119,787,017,558,874,192,842,548,339,095,013,215,811,634,042,268,465,148,006,406,274,085,025,302,941,448,866,444,863,942,115,477,406,690,800,884,502,605,965,668,779,727,140,188,504,099,907,098,597,112,549,579,065,275,861,389,994,522,311,224,355,412,662,740,383,814,012,314,188,987,526,054,716,689,463,381,277,181,839,454,396,039,248,808,604,241,960,669,237,164,563,503,142,301,569,824,015,910,194,491,876,586,739,297,984,049,442,634,924,254,986,011,613,884,024,916,823,350,553,187,391,199,995,810,128,176,371,239,579,201,938,636,274,642,029,962,911,139,820,380,209,307,624,651,825,242,349,623,420,317,448,621,688,651,784,014,702,143,183,061,681,918,524,717,684,013,992,497,120,449,039,266,964,848,504,034,770,570,179,974,482,229,527,885,158,469,104,733,022,723,378,257,266,207,467,830,646,303,121,536,887,553,583,456,235,752,594,976,331,097,641,026,133,611,652,782,637,780,088,628,416,566,335,369,132,327,353,392,811,071,705,655,619,599,404,732,844,646,065,690,065,847,519,388,722,837,189,925,864,678,591,496,423,750,929,827,317,424,304,451,811,743,414,472,943,100,817,260,267,131,472,692,652,868,592,826,737,967,990,553,448,325,269,555,778,836,896,449,620,078,613,657,904,994,452,591,625,039,720,526,594,286,376,889,723,012,394,772,228,415,313,672,277,416,487,177,488,463,122,367,863,471,821,104,208,292,303,725,102,982,541,806,353,835,799,234,377,204,228,363,309,595,668,572,909,143,012,841,571,192,856,930,786,213,630,598,066,418,832,712,453,636,578,629,322,922,149,296,104,059,081,942,330,694,731,886,113,420,868,925,564,482,442,924,257,585,638,585,259,168,694,328,275,114,680,996,936,704,485,448,778,196,919,751,529,772,940,168,377,855,760,222,812,884,621,202,701,659,432,521,569,367,810,726,493,813,559,886,615,436,871,279,979,611,520,038,530,099,860,030,191,295,552,666,439,441,574,726,351,340,833,872,622,455,543,411,061,385,099,208,202,501,948,404,532,902,564,340,064,330,802,202,760,520,407,795,015,901,282,155,059,521,883,271,496,572,249,009,696,209,977,335,526,336,775,890,609,645,942,359,920,588,638,594,484,351,652,616,872,616,561,075,776,232,091,338,797,638,803,504,834,998,326,276,125,574,422,312,136,818,983,173,898,756,401,816,057,292,235,095,012,738,822,162,233,924,326,128,900,514,956,125,818,638,272,114,175,010,009,474,964,530,580,454,877,895,644,821,257,498,542,872,809,341,357,896,473,144,928,978,112,757,745,591,078,991,181,573,354,656,197,996,486,124,504,352,625,478,907,300,643,377,806,071,304,970,930,208,098,369,402,436,167,733,484,867,023,995,576,966,111,207,634,280,093,501,892,908,624,273,581,031,103,089,804,124,389,580,011,744,108,400,146,146,155,546,450,997,002,204,296,935,911,055,396,150,445,946,088,741,298,654,423,120,716,803,372,270,189,161,184,032,652,469,338,534,714,431,824,713,020,547,071,347,260,431,043,325,742,370,474,755,435,234,512,628,046,512,119,695,918,987,560,492,883,965,155,971,913,082,513,074,866,345,871,241,858,354,153,653,272,392,460,236,125,386,454,834,855,478,046,873,970,792,602,651,592,053,810,869,815,721,130,846,686,286,832,159,250,206,672,043,128,335,307,360,536,056,977,380,176,075,068,270,099,006,766,491,413,854,468,686,384,719,530,808,495,321,584,518,365,072,901,920,582,766,701,285,646,504,147,869,074,566,713,752,134,576,838,182,460,914,484,012,876,627,905,445,392,813,231,070,681,381,236,821,738,334,704,535,390,325,014,499,768,225,810,113,607,611,110,580,703,082,273,384,184,381,699,161,019,784,517,730,448,684,115,219,449,603,959,511,055,284,530,365,120,958,616,562,722,355,123,073,290,438,351,707,685,841,979,916,132,327,654,526,789,679,748,548,483,166,511,951,935,050,501,837,715,200,826,645,983,556,375,810,871,469,804,419,614,432,304,114,818,907,747,038,228,910,406,321,930,893,031,630,023,331,545,453,856,004,189,728,073,303,954,114,019,000,016,541,231,584,512,442,998,401,464,678,934,215,206,765,637,383,108,842,572,785,074,494,047,298,265,578,109,683,786,866,366,281,886,295,123,503,718,784,747,665,291,892,610,373,590,056,691,265,243,573,516,761,147,652,624,641,519,317,133,371,264,012,444,208,418,521,429,485,348,613,487,576,724,291,369,399,625,894,737,517,258,322,420,486,937,689,102,715,651,639,801,455,381,075,919,030,680,952,546,865,571,415,278,839,264,975,393,261,994,066,301,863,951,588,762,495,288,721,820,625,259,940,567,216,715,523,607,338,487,556,954,980,391,117,361,923,554,890,146,397,704,638,702,584,896,980,648,489,589,023,340,335,530,116,944,874,981,466,828,516,670,523,265,610,459,043,275,471,469,378,192,161,146,541,541,182,770,148,584,158,863,933,904,172,176,059,586,290,847,155,087,950,942,723,816,771,593,143,518,306,246,113,351,235,664,453,358,069,956,292,438,350,185,538,439,959,575,805,725,616,831,519,649,856,975,312,631,063,248,551,846,330,355,281,096,815,637,800,062,112,805,223,865,247,759,877,686,940,796,974,900,556,237,189,936,701,055,973,621,260,367,914,983,057,098,935,664,087,443,422,561,315,685,756,765,881,434,584,066,721,569,778,644,143,486,395,983,336,094,947,094,337,859,738,094,982,684,729,117,721,647,460,516,905,054,018,416,446,812,900,810,526,637,016,475,923,050,263,157,702,868,203,720,424,044,474,619,290,515,703,211,458,706,135,779,516,859,712,188,578,147,328,418,562,624,475,714,999,963,124,913,685,029,635,130,637,449,575,599,261,520,240,651,179,796,571,073,463,619,885,084,466,513,406,101,260,633,146,958,788,302,236,055,610,175,660,891,411,721,777,714,395,251,479,450,187,119,386,020,175,969,864,824,415,660,430,652,661,353,944,401,881,166,872,687,142,673,954,643,550,725,512,289,571,638,223,578,103,405,504,130,284,644,951,526,589,647,180,511,835,764,428,605,504,015,991,817,150,246,896,631,178,432,764,899,520,723,847,446,467,174,447,828,007,256,226,050,034,970,989,266,241,700,628,289,734,313,592,512,380,462,794,633,734,541,426,224,747,203,645,117,879,706,414,719,216,365,769,344,912,638,201,014,468,241,823,197,368,462,791,951,861,106,108,102,179,228,654,033,601,517,041,360,574,665,753,640,619,045,663,850,092,476,078,098,859,297,263,793,026,395,638,253,005,559,917,482,394,575,599,752,399,589,457,572,818,499,357,428,583,289,334,705,863,251,465,311,957,633,823,464,644,474,995,372,803,595,025,944,668,589,527,811,407,141,895,907,168,295,004,189,810,668,759,079,289,491,150,824,945,945,693,284,035,070,325,872,975,786,147,013,329,702,811,281,669,558,436,718,651,962,414,951,316,094,110,351,663,622,529,862,864,749,773,945,683,433,351,805,939,081,500,049,810,974,728,248,549,415,833,402,063,077,096,870,773,342,672,147,087,866,727,953,375,046,985,454,069,914,366,077,470,081,553,725,859,291,257,123,474,821,990,534,551,147,549,117,820,519,596,528,996,560,663,692,502,667,133,134,846,952,503,012,428,949,948,217,277,959,156,559,927,589,611,261,979,248,920,842,825,382,150,646,697,279,369,341,131,027,023,611,124,314,148,418,802,794,003,703,022,324,145,274,543,007,871,965,389,894,654,029,457,503,268,473,746,006,901,368,780,593,840,089,962,301,528,981,239,655,788,011,330,142,991,051,814,545,930,763,940,285,165,223,707,932,614,180,445,913,840,223,475,090,537,182,215,470,481,983,242,876,870,587,583,811,215,760,453,286,580,109,288,659,565,423,842,058,219,988,350,296,523,877,832,417,492,628,445,484,421,797,879,747,634,126,183,067,098,128,012,157,822,383,170,202,355,241,346,606,023,595,559,639,463,823,906,843,705,716,567,185,389,072,391,000,648,427,077,538,421,212,389,461,948,884,388,124,863,704,549,946,715,152,755,133,144,167,510,429,881,259,139,458,265,547,008,641,009,347,793,000,069,745,461,321,946,372,173,918,862,399,727,288,124,462,527,959,680,431,983,470,723,271,530,454,724,587,520,932,282,266,562,183,258,229,658,303,657,765,557,765,459,336,640,680,075,051,462,693,958,187,078,638,814,439,476,307,072,707,501,171,056,383,544,072,196,884,378,854,517,377,765,965,312,143,281,399,426,654,987,279,764,373,155,848,155,791,079,663,689,535,061,844,744,647,248,164,105,161,321,570,499,488,940,086,279,561,661,411,108,284,100,947,814,654,746,205,994,801,607,091,165,341,258,484,186,082,498,737,361,095,984,145,470,068,432,583,207,549,209,713,163,273,120,090,824,413,621,733,858,793,349,836,520,125,635,162,935,776,481,308,567,287,270,906,575,473,640,815,185,726,160,329,080,490,474,161,529,703,750,565,920,414,120,227,116,683,318,455,419,473,144,081,083,573,359,548,972,017,518,996,548,309,706,604,332,747,605,502,288,277,770,113,014,365,086,062,839,267,456,202,432,680,754,091,992,263,668,645,381,331,343,471,335,945,063,240,843,023,715,635,923,393,076,386,105,373,322,955,342,011,690,017,616,597,763,735,439,912,027,482,244,070,650,325,928,578,717,587,946,656,450,114,821,300,283,537,092,909,875,367,996,432,544,350,277,038,616,242,882,832,341,064,642,782,033,398,662,367,906,643,253,725,803,389,918,487,947,580,749,768,800,504,096,722,239,879,377,855,941,186,869,673,676,012,935,696,969,540,229,118,298,144,814,897,819,332,610,682,708,457,765,795,129,317,638,535,109,512,450,175,028,212,187,956,732,801,436,304,831,931,817,180,856,898,507,836,949,907,649,744,811,709,235,973,592,943,110,996,544,078,083,712,648,853,123,044,439,366,743,217,099,492,801,962,753,452,819,541,213,039,311,982,819,069,896,191,873,308,848,062,939,024,340,716,452,896,308,266,254,794,924,866,304,639,269,158,727,315,648,902,858,200,175,239,877,983,640,243,135,113,264,213,772,687,760,623,932,744,192,697,526,900,355,861,361,695,809,363,014,199,805,690,019,753,420,262,936,682,550,703,440,717,194,661,122,274,479,235,596,653,777,940,519,621,166,429,268,413,524,997,292,328,047,601,904,884,059,003,001,740,684,890,791,668,514,385,501,649,558,973,854,687,503,949,337,567,441,476,270,228,887,093,634,352,589,302,533,596,514,569,037,460,128,214,586,435,822,569,424,035,539,138,952,149,722,369,890,826,105,765,863,232,639,948,609,222,591,087,096,664,567,591,142,596,767,989,536,372,154,685,547,383,523,260,920,877,536,680,413,497,725,810,944,023,183,293,841,443,733,387,661,693,408,756,899,076,712,537,856,069,865,572,997,472,298,353,026,009,361,931,464,850,209,865,798,536,212,948,899,665,359,065,428,782,381,859,899,797,949,443,848,429,732,386,598,657,154,136,051,951,831,757,699,756,299,187,190,155,480,359,797,330,766,006,388,361,590,008,537,664,429,397,670,610,474,719,468,783,627,274,865,872,905,146,861,912,731,001,839,896,631,487,191,590,338,919,955,456,420,069,162,508,988,077,744,122,291,716,371,482,583,780,297,091,491,549,140,408,482,925,046,697,314,757,172,437,821,979,181,923,711,756,416,507,115,589,355,890,345,745,097,381,862,269,566,379,823,493,873,833,393,888,589,362,119,619,735,594,589,208,552,952,698,614,983,879,239,614,886,330,940,270,569,809,696,606,264,213,923,877,511,156,005,808,731,562,478,823,820,544,123,075,313,342,931,975,626,841,547,524,904,295,313,883,021,850,639,601,360,011,959,845,120.547599712857882624
$ 3035736113580600486675113357163900157790344109378628675926794874605931438167288093575550565894632907016942823418724197540107021737613680933527454340038763019308007634881367699113820702515486024553401272600816362987587550744085144013981343887881011468085025115200317928820662089127201504840146893856198598981356292351687639931023747330417782135173957067690599257326392482326346486873204068206656223838288688009120741017416054609678018425134321823474975659127344163497612677599396520893626608226354632759602903013748681499509313373524218338398864877182334642553001098613664449771971288622646225309614640734167984679775145782442927396834991083934538674372219890073544431179236643596863693772957527194167433904304421778395223027247205512528708956653215776465631599897647680708154749048962846049524819164753219536492007904855861988137822488165840017137228495099317565479056132103484264687692068260126022740201446004570275020056503264776511409839458574868401569187824193312188614920324698859568186799246883002238105814615299134857883276251425551913095122668173071005380587682002055097446791516133054578418022182372063159618558854926829028138781167312119659991098078931338820543152193339603829145509302023849683869688416355224070992826577922092191235939267061765120084745606906111211699680926067801435359517684261763723702108956228269954568726282151926355866080194151308872766243874278178792695266767475657571669467985285628716035972956223924318459765410655837032395098522956693454910427861293867176740943257143644032084670689439021083952648602536158009249116492878013179310824296801265286248272369578043944255027310333998737458825432511967435153416362526817056185941322282467570454796950804962939203112889945429152755121880401449392828777243016506425349786934540883737281874539246638126384633875766645229216790266490431593153153023688403974052374659572676675880627739339401421805995558544534500786885027512641826950034191067866934338502215682437494354749773524554961208821773399538014508647000811185822469708046336849444943615052375986325156928237818660202891655464140710265158726529383313546793981068459434757658529084819704118781665153640741068964712220784555620812498435369554651418922074908314656915080864709102693562257576868204320306148628302074020349842320180831809180843530480248434027108674322130236810438844011625599660965099651776026372807101498740366155982408537577684716911175203222978661417228741658579454216913586128971173287461997043877480922144627544923600991887299422503166215996138130107810603260114556864820797538243325110943193399343052433994448447763675564135170404118328013587476080207758902811058455875727777491011028755925210660685489693263703430219548702098036468121383593652907505869457751885964937676996447893989157829933059942383480438475996638478923710630562981301341178648216921987377489730362222992959965478914374182530236380531367723186001755900887729419433009506727426119270151833887899508431940692707971349172417164574440848983608369100979030895709956428434613640224281872944324305083638445017164631542635599637953016904387824132147927688866821145630418652051185552393787672977514543140798308609437179616890090005611706074534319404719643977226564761220705522840070473650902153057495024746281903847510087917071889868369448129229372531020826476001660706978214928356895361238424700895506851514191919143650723479034902206441960779682065671268048961618194921697470399426450208159305729920768073376906282106694830696628374511605976461484231805612684584949832871696006036131377275385407293995879673771421607798836192407587562896903413561909728958738700550288592925816882134294344922405256167609514241861388283206178233942954203896817643728242278705872759238299083512434312702116407696171763654882692798188361656720754082254541358943782740934538614254113656734437625519100136838771362762640534048181830366838347028614739742278179054048525896984768849990909328529836940357246739094742404101733583915260407395734373132444556204488622002935986184727522894970106515907214568893340917802300679664152363222608468611239293353117634457171539627877530128058136542846905238996922989392664851868454094170863120313182088735471214617229435479696570811129364453494533653418847585088821815290215759429895196318321881412142242208592505454687870636710223408619432168006969462875942836698070377941211186319998061708490092419150260154606030352080107886590316489119383835256927295453649237190878766859035759029783421278174487624638608146470648650784900969533600515448880889002603920557112933806840613399169117066486263522342209087351149382142293343422244300414112939216412887320175005471329338289060437083689825944552397050765958137431789448625292868067912267110650905982065985931497934416505844937585375059760423970650570908592462779979221131807218288657052883932853143722413409499606193101896005362618429398417487715224336639525434612065659651887802614758097874624555613628794931315483059481266698502204412018683795980141072277913901067811016988345492255251391371263250209682941216642670018956128816005521911202033230599444898800368098569537420665800787648925395268300566330699934386608616497145247651487375514847616213112885067876566388609535903434140376240889906474057000993596272328165511091078867127657074961681998138327621006674101306916866823787174375096789708397132219888192319445733018248240098389344254348885917231837443546441092668936999347665170330896324592247330101321504287979632340573235265716361644996717704744375855384153985134758267955589617728092945697132409175065349170977229900358143396535067892351614624132812473408259922156699933344703811204924373481274277207093437206705784624234058685074552525006726488756669488213349411245789685892877343603118484758653719423845623784052048090806590099580102177803077698265362343167065975936185539656793676292732590237792565046335253991594623016167777313904680248122764198274548245857904940064580352884593155384093086225020842225832507670443082338381277480166916364983530529475145372418337822684197256243829759026395297083780244588459910428593314752237028475663147873171767415833142267982754939597186148674964673588720863211710987932532641138565236301725419951027888831790811732040853658068307325380994703865384199419323773360538742396844889799309973796845738327942858851735471421547062706155937221131201663509610817531829297654470687379424392923422286030142597129619299357902900188601794399555354740044383508677378598894065422902541881355108707467389302593986133089285485770206880777025422819368281087663957562027983168594217993557660031607258671240170343095343721238804804783081159007523531570046163402999691900992037849217888818181685772743844379746707447628632094519410905316799532045189329895356908217649462728288493894253523611998327551896957490544024781143124866447005749472700926975220702534770612978313497791459939567698814247464781974445748263285113770815171335111712483284894525471777579557726867003888458408752801980094725275721291463428863199320667110166886590383205039952504617900991494427523015214240082851989566701869780370076935257935707253260500646094097556465949260820217386406786444882333771399974162140335234073289216917109934166553923859419211292757948803034792057317235623149050691335061172416906491423811115435866755270491894467624457543348174035994678057230230463324407089966658337431493601330002907814745520438004304063346841849002659655166062406910710154565954723254075546792707756583573985458669742256418840141313566782737841662341925490388649024892376354429710225795631491772922454791597376889408714028231072630588901717782215488433114951828505766935936444690998808937172838514331160030388504605671714245105763447391862722961058723286164581672979902688434033405283789214809680189992029280192570840066771318861692663242960450502805244728582276536943524926881682055773605731656747786937313651903359168063403318641065165699372286649443933122315119471032283307848903975992407260416368235293173684717445933875109597395859261835023590695272417732906268872826475266333010820336333182704018937379496990248798909698316348757547453435168370401423709282881232854351664946784736673684821259348357609783852080516548941947190895682902086463050334980788184082716199470642942154752664719706461820632768942666624436603475894174445209118870226795642382720642351022719820405466436297342533665854320274065291712932150493216469767886582572343700681479995534513994277562327794114023105748742299786165018065627551017477738578981527057237040704536894229063643463156114712871264226844360545289649038499371626294157963017417370767813795311352794640154172368411633676404317831143196806775116855694869728187793180817443514786078134527103335099598371754019583420607857791716229297686671689234840066853911650284228571244165955931508694052677097094649392472408596135121801974268100687977834714601262361481614136203578090222989274101973914250541082255319245314582114613768450774887085563604395276772726129410573293860372500334882825930853795684371169926022591092121270243479825554787861436445688825596086181455167356466197034559870336499099663343049105232335712210545603553760842593615729868808087355084086351308142605177782772052964508920579632923363048221898099625614306468029589425771806543611644395645871787072327858156404200411869621501458373210379580376256515115581296759305857288274321099991434049529631072035488015804866855175534364844092552674555494130589245693986181048328003160693136494856299129446642162008833338061465918491600628510574284694922451819085397234173942283035504353229498662777660707206293020308451319439895312115016643607642140703882187694895423011458293037613307960290675582932650055775940559618471376870100996675125582022828576523261382242670577088890682077987541439878062858953905993343316862115881171983289298086889596906328309552227389637725457190329010840701082805725674715384497439701173141686682970.23
