8,887,330,460,951,449,889,022,578,586,136,531,449,762,504,322,038,124,145,040,821,703,261,781,254,190,520,722,289,919,565,505,838,270,114,794,894,887,045,156,259,285,093,625,130,281,408,747,325,805,788,377,074,368,697,793,202,140,352,791,072,584,385,912,124,368,392,033,769,512,635,250,757,282,746,425,331,498,010,426,170,153,406,265,751,418,413,844,634,495,470,042,467,349,687,253,967,915,694,312,045,980,551,610,366,089,948,716,070,176,400,874,807,319,072,516,525,069,205,464,482,775,491,362,804,457,037,641,036,938,524,967,032,377,244,125,802,616,636,381,218,646,204,884,619,275,033,925,228,679,449,866,361,048,805,655,456,560,804,951,886,858,650,122,666,574,941,881,912,632,410,379,275,001,458,980,756,907,000,834,037,608,653,542,453,479,132,827,805,841,077,055,727,856,591,364,427,418,431,190,482,673,313,747,405,487,474,999,994,995,186,940,793,634,614,557,713,083,248,783,560,729,233,483,310,100,122,711,552,665,064,979,866,819,476,571,896,397,801,004,057,720,293,416,980,261,869,831,835,245,851,305,627,001,065,198,924,120,433,003,430,833,875,543,416,005,128,449,943,598,357,228,945,681,805,605,731,024,683,813,753,623,031,448,111,540,181,489,000,561,398,222,155,944,944,234,028,169,858,524,099,366,790,815,058,066,768,096,028,414,983,387,690,450,046,958,860,048,776,821,639,878,744,701,259,797,037,127,637,556,892,254,062,767,226,066,018,848,629,655,896,331,080,650,837,967,137,421,725,845,263,207,074,251,700,749,246,688,701,104,970,155,101,273,299,816,885,054,938,133,069,960,490,012,799,651,802,317,073,742,182,398,667,768,138,036,299,468,476,386,690,767,740,104,172,483,826,659,280,797,170,229,497,095,898,175,574,751,541,049,388,583,822,931,663,843,348,090,764,182,525,640,701,779,924,875,188,299,011,653,750,594,832,817,919,552,822,319,584,724,702,769,451,628,051,283,361,318,746,744,874,334,429,431,105,160,340,049,147,373,248,044,599,189,739,542,487,290,107,825,460,751,883,416,747,033,988,125,438,292,307,090,470,091,109,057,327,439,775,258,763,468,696,230,810,413,921,423,185,264,525,970,189,703,741,845,158,694,735,162,745,824,173,104,710,202,556,616,499,020,793,930,614,315,651,735,387,370,720,192,380,490,056,546,212,950,566,345,447,238,293,779,582,052,253,408,506,521,907,217,304,918,889,553,170,491,877,518,568,753,259,042,725,498,268,398,749,737,524,817,221,874,570,560,057,422,125,400,917,027,452,912,480,665,452,864,470,880,382,294,156,351,784,973,057,212,389,243,823,429,088,138,705,003,562,368,701,797,415,003,176,298,925,148,838,625,114,909,133,058,595,234,475,741,956,405,917,961,598,305,529,352,407,990,253,420,121,223,583,497,490,160,365,553,988,443,365,823,493,950,003,042,713,791,526,161,200,216,765,109,947,642,063,606,402,644,971,334,940,337,213,933,567,422,247,083,281,084,397,510,769,146,582,843,381,847,971,729,535,359,636,472,912,949,802,591,333,526,348,165,855,293,721,858,514,659,071,075,662,407,502,796,265,572,838,211,546,189,126,105,834,087,422,461,526,183,423,911,805,696,372,081,948,180,860,312,453,788,771,133,700,800,091,811,482,945,621,332,344,374,535,824,144,765,196,609,312,140,957,185,721,783,822,590,000,220,743,911,052,609,760,879,212,808,037,071,757,697,452,908,226,198,574,225,186,342,093,937,567,373,333,312,156,869,352,904,362,528,724,916,285,442,874,065,117,368,422,583,329,421,646,353,977,085,906,194,830,747,020,413,236,925,714,390,737,481,937,669,155,148,050,428,258,686,744,567,782,031,965,603,421,675,960,018,607,027,346,436,177,832,585,463,087,674,608,857,728,637,672,278,220,954,891,777,528,300,869,294,018,751,439,197,455,698,613,324,772,997,268,754,743,146,557,106,601,616,279,657,638,987,968,105,284,866,437,237,137,193,213,831,924,704,740,154,062,764,104,680,944,990,052,956,469,521,288,757,359,915,794,983,838,188,249,641,268,784,300,880,718,753,255,904,393,967,914,784,055,097,381,414,093,412,769,543,060,841,795,472,459,889,035,899,873,241,334,787,372,827,217,010,190,845,728,290,511,291,944,885,224,699,788,664,967,247,457,341,267,404,295,291,312,903,536,054,848,504,932,856,207,975,357,722,211,740,809,082,599,180,498,007,404,004,357,659,108,324,335,771,261,439,166,081,513,125,582,304,161,978,348,158,566,446,868,470,476,499,171,931,098,377,724,737,451,903,397,902,433,903,441,629,590,652,190,036,245,111,160,931,991,551,140,033,761,880,849,508,609,478,957,279,034,161,217,872,586,318,890,372,004,889,638,466,714,135,350,520,780,591,204,552,633,877,770,636,094,606,429,705,121,821,934,669,860,333,596,987,319,037,577,385,216,225,573,059,488,378,742,320,246,417,985,956,203,346,503,867,133,695,395,342,086,241,626,199,208,160,003,259,426,030,679,232,457,535,446,197,478,005,343,861,142,441,628,424,321,731,931,212,764,202,678,250,860,934,616,690,615,946,701,246,779,191,921,492,113,078,767,074,220,141,981,471,474,363,840,734,475,999,377,542,907,091,696,457,217,421,758,690,735,265,061,621,790,848,678,061,050,312,492,245,936,515,303,974,426,686,478,785,322,296,164,665,588,580,284,015,708,277,239,817,710,672,410,868,120,951,669,188,027,067,585,354,145,028,941,669,067,228,032,544,398,332,557,980,261,609,823,559,532,061,865,263,949,789,864,269,558,031,158,334,314,467,923,608,395,370,051,688,712,488,748,727,854,377,675,133,478,060,453,666,699,319,243,931,631,976,347,655,331,582,533,901,275,433,577,931,822,011,019,576,626,413,058,140,167,856,558,918,458,794,524,383,342,577,971,490,383,965,962,820,367,862,017,569,346,307,021,146,987,535,593,775,741,032,613,281,090,571,260,912,168,989,319,439,779,562,766,186,508,369,519,733,780,672,579,905,394,991,268,213,400,887,951,047,084,480,287,375,532,606,377,962,005,338,032,554,784,307,400,900,490,217,928,456,430,472,149,503,872,290,280,091,268,524,714,687,248,601,427,357,210,237,526,886,846,704,973,821,536,871,013,036,428,754,529,979,774,981,606,585,352,214,647,966,048,489,101,466,874,963,041,218,401,645,926,932,013,076,677,166,438,438,372,674,278,364,124,130,850,521,947,343,823,010,317,533,643,780,890,309,937,871,463,145,446,704,925,072,504,263,546,981,743,392,735,149,360,148,069,648,549,685,147,849,059,049,680,251,414,203,740,469,701,569,170,004,634,030,450,396,279,344,337,697,808,702,602,310,969,561,965,362,680,189,509,991,893,117,801,481,828,584,771,397,792,187,891,428,413,620,448,812,251,332,919,189,390,403,676,177,584,461,836,636,339,565,112,296,485,048,289,770,136,866,667,347,469,409,191,532,824,332,192,288,891,789,779,107,628,777,912,983,085,130,067,393,431,091,731,227,541,383,994,427,347,760,972,434,944,275,352,244,073,165,619,261,236,494,316,139,854,512,670,299,046,458,795,072,094,463,792,052,291,239,970,932,970,928,346,457,607,482,263,059,662,129,434,188,756,858,378,586,335,400,808,769,976,850,064,326,476,170,671,387,932,041,057,763,514,515,119,255,233,667,648,773,090,992,481,049,135,156,242,707,132,839,034,589,378,751,085,474,230,354,993,055,349,419,570,549,332,801,784,237,895,107,658,253,278,436,836,440,528,558,177,264,453,140,523,220,386,772,019,715,258,637,062,074,147,079,858,862,938,054,241,786,258,979,056,671,507,725,114,318,565,354,009,267,502,228,773,507,695,764,847,572,777,662,728,450,540,251,351,645,614,306,348,086,461,144,183,670,641,697,598,609,638,063,449,110,312,541,322,840,550,443,883,054,923,399,620,769,337,688,910,479,243,151,903,932,358,257,975,730,304,572,180,523,478,350,216,054,615,511,709,903,693,881,597,178,110,536,842,196,459,716,153,528,723,041,299,456,402,536,197,114,467,569,100,576,932,233,916,678,056,904,107,331,584,225,380,214,775,889,475,831,624,124,593,516,288,469,960,334,083,578,013,383,873,722,346,062,351,087,034,716,570,465,332,888,604,916,429,857,746,146,012,134,102,269,603,180,102,797,634,297,312,794,637,766,999,649,553,114,529,080,411,025,190,955,520,024,973,292,884,310,433,937,475,271,631,193,607,933,243,458,671,937,577,860,297,959,908,647,011,884,839,231,004,428,484,758,661,949,636,592,760,054,107,061,064,952,878,535,908,273,269,033,135,683,709,793,935,772,277,193,195,322,616,518,874,110,844,932,004,329,306,364,016,185,785,006,723,221,571,370,645,238,674,116,958,940,376,881,962,587,907,685,282,223,364,281,482,633,112,773,565,287,462,054,533,461,291,922,072,375,356,947,850,729,672,018,629,447,452,713,850,664,603,588,555,414,827,577,096,665,995,208,173,330,630,972,820,278,436,239,544,690,204,098,709,777,283,176,701,802,332,478,137,333,769,113,898,543,650,241,888,601,276,360,626,750,135,707,319,720,739,063,815,714,258,454,124,470,708,065,102,379,455,521,613,611,071,433,763,338,304,212,280,683,601,889,837,770,420,337,129,863,250,629,123,008,578,009,741,378,840,897,012,799,637,069,546,706,239,245,250,356,476,927,929,006,683,876,402,775,075,768,260,331,703,770,377,597,251,819,529,692,661,527,931,300,161,639,183,424,066,973,879,211,781,975,823,101,538,528,040,596,700,862,394,347,024,664,468,612,850,361,501,817,241,139,243,554,953,429,126,680,739,610,157,563,419,916,562,029,053,848,894,911,759,289,101,026,776,493,148,870,744,949,049,587,446,904,669,592,704,930,303,539,114,119,834,152,175,438,623,804,339,837,115,771,523,766,509,698,089,217,009,181,966,267,446,115,603,381,172,467,681,365,646,130,514,545,989,147,097,233,271,335,249,131,093,470,089,228,446,888,899,461,988,107,353,166,971,539,161,855,281,548,034,756,756,989,746,624,969,336,785,204,070,501,511,217,376,594,009,183,390,590,605,359,307,083,844,406,056,168,040,939,823,747,445,924,597,019,032,711,612,074,252,955,094,914,734,472,886,989,099,878,688,674,871,533,498,928,950,790,841,340,912,183,313,592,790,945,617,450,073,732,076,345,317,869,204,439,192,917,151,541,313,399,772,652,023,060,746,850,845,225,567,527,577,279,244,901,788,570,444,523,650,097,584,492,800,903,489,694,276,155,642,489,398,089,641,431,626,554,387,057,944,132,315,025,749,807,829,724,893,929,112,999,554,265,804,686,345,682,604,687,115,818,698,304,387,639,947,320,331,362,874,247,588,529,954,901,031,584,291,471,961,789,308,615,865,193,100,635,293,013,662,982,841,458,342,439,185,741,523,957,088,199,005,509,327,986,278,665,735,746,911,781,116,712,505,339,153,301,161,261,417,946,396,680,823,672,644,113,747,631,862,363,843,682,800,771,861,600,393,248,281,949,522,328,680,341,192,061,589,485,779,696,879,597,583,798,938,736,283,136,635,300,646,339,849,174,570,473,002,237,839,042,662,284,248,198,896,032,884,803,914,103,564,649,904,345,192,919,889,018,378,104,865,741,388,783,816,609,586,428,888,496,189,214,074,454,311,250,261,336,167,796,583,120,723,641,070,672,404,743,073,096,980,091,812,096,535,228,484,900,360,703,496,893,753,030,356,914,347,115,433,728,211,855,655,792,617,680,950,161,915,074,846,970,309,802,990,633,685,563,906,483,526,130,209,161,328,150,102,813,913,974,665,370,433,868,753,477,955,168,266,925,068,339,862,674,373,214,232,663,919,584,061,263,293,617,520,209,470,185,340,079,349,259,990,890,245,539,543,565,001,939,575,036,498,090,119,300,886,177,327,990,372,291,568,077,433,362,987,611,741,520,038,393,859,289,706,959,937,111,493,703,863,883,230,021,797,055,695,763,987,480,990,828,541,957,288,807,386,216,739,684,127,746,448,927,563,834,399,576,559,875,673,051,913,612,498,912,967,617,172,678,099,598,736,480,888,149,226,822,197,495,394,039,633,529,592,433,849,235,926,364,298,471,817,418,733,062,579,242,417,419,518,813,006,427,713,889,718,252,255,745,719,450,263,470,447,329,056,481,221,985,959,348,613,935,533,644,277,850,460,258,413,380,934,387,562,692,382,967,080,257,351,056,369,692,470,395,946,820,145,597,558,623,893,413,495,655,891,069,879,014,233,610,604,274,896,588,214,375,169,832,886,478,843,248,594,685,428,248,671,741,198,695,517,594,859,249,607,974,653,954,720,016,115,916,040,475,516,266,112,802,321,678,546,717,743,668,987,007,419,033,136,159,460,657,692,052,522,987,615,243,311,124,690,032,766,366,844,828,983,091,123,363,228,807,093,088,697,763,238,426,177,923,837,455,463,885,320,114,340,119,002,960,515,645,815,417,633,678,870,832,031,770,907,262,069,641,991,276,417,072,699,500,685,561,282,585,762,410,637,137,647,675,894,972,228,690,556,715,399,640,498,375,683,790,206,288,007,309,164,089,508,178,642,351,226,705,902,573,261,426,699,435,941,652,287,862,550,760,348,911,680,943,286,102,159,858,370,234,604,266,502,041,324,470,477,667,000,013,501,524,711,809,002,181,225,210,758,911,218,297,043,628,914,917,987,378,480,545,855,868,313,747,216,983,775,600,988,335,139,312,348,310,713,530,719,104,803,284,106,518,826,146,709,287,057,361,720,488,574,120,529,110,188,711,874,558,411,841,184,599,400,793,194,582,552,341,406,327,936,307,447,732,102,313,201,898,872,281,421,362,206,541,718,645,210,814,329,799,982,826,531,221,340,643,763,917,828,129,195,623,516,831,669,032,221,346,414,383,818,184,473,843,090,264,982,146,683,594,375,335,865,143,225,907,926,267,376,206,004,018,779,345,249,766,775,234,921,852,141,918,262,742,233,311,513,453,151,688,437,909,436,136,495,152,523,535,337,933,486,809,372,701,682,539,823,913,331,270,571,291,116,304,746,178,200,294,949,775,654,649,555,258,801,896,366,857,492,358,464,822,093,659,157,181,353,417,416,959,375,560,093,549,304,846,104,336,712,245,885,842,649,820,028,956,281,680,903,033,720,814,765,436,530,477,829,166,030,258,261,271,863,377,705,176,085,379,405,244,334,338,835,063,381,667,897,735,810,300,916,348,641,949,001,203,121,131,932,372,087,672,529,860,521,651,533.642481825958854656
$ 255108538344363776810290265243287372550302152638081513950046877977880946592488153791024531715419298421888291622022061524791297532586912787813089569665566947399428750874469060127271155304711181789461146765180417221010568820659936121616581887772979801309523003206225274840491265350250352971604567071752463850036257114685858903786546463680298128491825600857953535356774165580840051763400130512716619390050754728739683642725476772751401992210350465403918705476893794034089328330407373891177439903582583473755003628616651698409735188053838400669525031849873363197880834339328434188005319758825239711785232696731033031387734166557920795783722884478890896012348656610118362783046699066448636532495697939466090426035213352993836542435556698506033300721831434018560206499853804941793275719437102245486896852803276798590601245185259709027917748348203082359550315537467180955968110066756308618298150098133715241327994198893015250783279979875843426106667982715372101882519385414790922594372499580678175210622010159822933340414280340593987311029281477390542275359490003338745071950836986554209466042138714923613430915602679940606423714202412745669730134265618295717560420334980781627191752314999368723038156915132715771267687030713614184999555911798011416259720111095059914629009970252153889777590392423357852259253242344790239999941270094396905669824147607358264870918288847736484474595091002385283491621635934662663803889029145892520199962631268221191503027088634543699784490333388460212063903849804977839475227680583607941937218635901633789435280520561302768461038836189959156790157930351448863401472325563476003600892529830407444026177236049485529007544792754408836712705713687380921245292143424843106669923046504231274399112515334910195342055881027210688365320006599827647504724890813659911168012672794022775487281940551921992738088014948456198197736648287764292964259654827134015184722033998069978070397021730296975063412825728523157742047252634492432210706629856373391262304309278150808887100246615594096300403516771994277538239733548254916579835579343839982893944786164545737637670482573078584995563428169253257895753023479543730387508821311622091709948982280652139481650879951046315000418266299205316950516242809608929095974496358806105492659527271691011895744494878740473366879275646277157771965167606487878071814105433958557392382338582960279699201134227645635645214197151198027748503291069506161592651938858567692523741195839251500689830751441457933107313006616304436625618109985989894674977613713077961627764652437295691764452917345850012719329973822824046856104754050283909591506086930824194526801367121998943607656866680485223668129497564369433179513391107336769379911337346475624497602899487076106603799232098773614115378715537483247018445774104464220795425794188620221541875270059400507166321614602075924371014527040962159398444872370376976829846980000934226862000837128363037397734202142824626165308798310871634421093633915382753964273578976448040856545319903351075338441459146209386245750585385461011384041985283713672711241025244882952326522309791152809813143639893409974907242756169245706850778163622983106429796429596965099669167910286066444209796146014031139876191230088472915468923493531180899953765909735440846757140082090546049714714076258570023006103663257969746722165956339914183442193376184677699918695099268760080027750592874141468665875187961974560540511465774569597803265454702348861597903683421908019266201556779064377197007480082258702846663895443563391378370701443076856732929237363836581439797009726398289700340648699736235710845716911430941232592241004138869586428401156673632362085347871063467559752120062087026581820815160281469588726139050788466326026236416093455111937978493987368833962616043088753918680738722909979703742693284539980458715868018878180491152117762007320728929087993769298835886675381303389856573693875570650196905304939320139288818771009593147660517880433754235232124432682841852485641636679286455495668059447804055781344850951445141144428435679455367814752404116923655955186724817737128389074312533848389664179332120148392537798893870790575796799243669960516712008742732305663186495609098080767284314193424934333866082211778284176947206638388948468591997775401000076778703157162293312270778789293453853612877545603867080510656786338702101185108473748720952075320330240748101219230918521641629013422016056311516032611711995133987827072665371210060657594473516397844624707563012725043176253675795616468403374996498944344009633405290284759594073751450920592809115131322437235920773014473354454589751384826032194192793714427309057571025590536324585493018807762157022357407584038246591360396842499085537818102365018492199252186769542870812640499818960019356757642036012259457305646164188683981670482564604678647347682081397905178747238969232700032520434158616713975653492392645717386048381781626885741514624538849452697915113011310617654180457544783067855202368599294376152557217144093257655026898579286256923926590012336525307337369121761781030427736187439270004885547945602299379841556806500555590307894195274773189772389706924706326079395163063544099264892882763226750196484609436247145049145605510031579071465628768627626728405166125412264516906156361021534186713318128064095241829322043220102312739140836689236441921769568692461324053952433102950110011363756536982364105954844407052693368429765327341139734048167790104716909933344039121233809380203523374017940296049413843885539499585540816556565106117263302825793189619974916183318165948033420426970896429895842573677366535412230615881641351622495616499891819684671341602172662621339722835708517615506501060720068549566292875335857384501153085292725526115829827033662740339335151139449433878251509028912643891180662582613597010613390466501563781689572184174782748010479662625251211112600071476905524879209038423133596123127745843795998111030506970135974064150190818460389834203075490422279399062589867454109279631730378812640116834391361404344885768872641645269918513367998762764844264484031277677789368153421352955031256406551829134084921642126733101112825687058197875079805295174110085952861237333598289217286610257888792577407274517019254100729521003465517813798858266218895661530040643339367395290520840846627798446287456790681904725720143310918325139555800206025894314025602856675415450526500066113549442939942006882196900728258141072530571840368246511593225881391660662329372324877569675158952141833810820277997535348417438649549360851748799136693859848248960896161424253103260481797097309870833459884545155471538963400741765594362567601676802914161569116530351044442052553112033798336912237007331299973914595355118157970094671619612452326952599197306669104188480724331775639005580406640979189903596634596827554334081041125388057039482471350565628081593087299717104139737830832955183822786004716797284818182918506793549298137441330144032960523937359162681982628875210458352809005659791437442122189147932659421876913410711858318593393301476937989441674664000791232539266474169846410490703162190769888016105522987635884689580581119364504394829631733259877384843179368996926850425659433740844657962058506821402661007910420759347450290467283306422419205310417708950229752987032707762920307410163081943138275277961117884622126802752997875545484361572686106001972813183091633178616861420322954226718334425429264288548959991104799838200647635015410462825358974708542535045827524713740485560072206441732742262446276744536156014750285007018577953581145014324615109009431624409260480452034254362508532276903100921227323772261400635452245564874789939102686839371426807813381526892716721611533722260592966259737764726130933296935188657632413428234114770904634711245757834997824198619406306453213629590994699652185366668975487474700329629627835182707124194970072117769598379067656098994109147330118275792569293313446443784984840606824131854593379592248433520398855119973129419061617228557236129198516519492113747262646227564768352479574028135589866061773842242661296361116079621946343582783738251456271899209490639952068886510400617310800841041276844986764337690931484470075116409257144765874924480120081149125524304744589020148776455882059757185205413108345581132372863564818280204996661601866105685535047515163417618392849242215400692846608570120058766987751181972224089621579029142025522698398342215539699859941850818346868998523131660910528107330529188929296549939296308694694824863526223757256215067081139026049063334814013027525576361950052780355481833474374942136952603302160245947981628472406480130076089577596393328324585345173445776994011824061634933217509811095863090412065376616616297220734029694747409551703495873620882119940687168357560333110409427723665456485425634861101212223028846386777156286636128180632326294583248517506739322294705544731464244983967282814562076767857863853996738098056105132390220126059509779173050690043546793460670266573962424139949837686648153105804784869499552110787223360610451500734648004098789387722980542217396750008286474878933425737560171287987197177415252365792990760801142908120004458501652349694358833232214396489409011267973766120109418935153054715852139200575110689359985215013888011998030528646781876523437652272941252066529246675692338266351877158691044569299069104432508005073737310262472758149343529022682983544716080532198276729334146260895539606748647812806711887559705368269473472454536729657332934162331868861416311179692947973783650716039093321166507861646472111883437924180659730927554180106870819589162734206824722428608264249364386829070247884607610352556819574950554208649910321149766065689538235601392251069115571174496569929590413711267886420447345834480552270457599963013184859983288877845458334848626275867975551708368460582083503039822938137742301637038951796361688027011709156919886540899731255200914681471696769.07
