8,757,760,957,115,594,264,408,979,399,401,711,773,808,363,933,154,404,616,036,736,151,115,785,219,494,907,517,866,860,627,860,415,308,318,226,859,523,061,478,378,111,903,313,878,207,821,908,521,707,683,515,772,390,948,008,446,359,200,927,624,992,415,356,317,657,199,407,982,043,727,611,077,066,079,095,615,132,346,470,477,857,219,887,482,614,960,020,519,757,582,300,817,835,749,635,467,367,413,461,847,904,349,427,571,368,647,147,961,047,755,612,284,223,991,589,768,782,309,618,048,473,846,018,239,618,143,838,690,487,314,346,339,670,527,759,962,470,411,887,458,254,853,526,189,183,920,748,192,186,849,669,848,159,215,555,568,492,724,227,539,737,386,213,447,128,324,547,377,137,271,593,426,037,898,725,939,775,393,520,004,788,768,721,922,214,774,505,209,904,225,816,128,904,053,550,347,692,808,968,397,517,691,020,499,992,013,936,664,072,171,970,245,386,143,395,891,159,751,957,657,322,223,334,152,401,703,717,379,784,239,710,582,481,869,436,031,375,109,073,297,064,789,897,877,087,973,148,168,995,452,258,448,966,181,616,330,926,496,777,642,164,942,225,802,332,389,318,344,321,174,362,572,392,453,896,456,153,524,914,929,050,131,371,218,775,938,775,723,557,500,096,439,641,320,186,375,765,546,025,447,800,292,354,735,644,406,852,525,638,427,640,528,769,350,961,191,079,414,826,855,374,319,954,479,331,311,377,097,267,248,908,563,615,954,443,679,640,884,044,314,016,935,241,012,129,457,792,594,128,409,352,935,031,758,683,767,446,864,549,178,163,969,026,670,318,273,154,698,464,874,038,558,354,971,009,245,238,811,904,925,694,351,328,394,709,120,236,513,724,746,639,619,567,665,657,553,161,850,774,202,632,459,614,878,506,798,909,058,233,208,570,223,931,530,091,728,574,171,931,392,083,746,553,637,761,548,540,919,188,743,378,227,855,067,561,029,578,542,553,857,121,891,085,783,432,404,064,400,089,440,755,484,635,154,260,850,625,704,997,718,237,151,088,715,015,760,283,487,709,861,771,205,556,117,387,463,085,174,645,090,324,250,834,454,557,224,071,491,261,569,776,978,156,349,490,454,906,393,076,035,787,566,174,301,396,374,702,426,744,178,104,948,635,528,250,795,494,498,654,829,085,757,746,100,980,723,194,044,617,001,261,691,395,633,960,785,901,396,542,093,180,210,514,265,329,056,410,937,465,458,534,140,719,649,339,455,720,541,235,350,077,646,020,801,726,022,998,235,580,540,960,418,507,887,501,727,569,468,927,139,602,904,092,982,403,633,962,700,472,325,555,603,307,213,003,183,796,183,639,615,225,779,686,023,608,898,532,703,660,771,841,312,053,500,557,287,116,784,352,293,840,461,110,280,172,743,462,498,114,920,342,954,203,638,185,015,014,589,444,007,764,641,477,184,007,068,244,900,076,234,026,329,766,060,187,859,700,730,714,490,037,764,726,309,533,175,354,544,129,934,905,522,895,148,888,711,004,248,809,774,892,266,234,824,753,943,743,190,179,032,286,938,773,633,999,878,533,216,741,646,179,636,108,539,595,051,565,779,773,211,014,827,958,050,904,514,392,171,218,885,518,652,985,901,075,900,772,385,848,978,229,973,456,422,947,676,361,169,865,040,353,739,078,467,614,134,631,984,696,719,725,007,689,869,767,908,858,274,908,260,712,323,992,680,967,406,694,375,956,801,002,642,892,104,406,082,470,169,477,281,645,340,146,330,590,491,728,511,950,342,694,996,452,008,093,297,354,422,585,074,673,865,221,784,397,035,370,001,407,256,835,796,431,904,175,423,606,946,708,817,588,276,494,875,823,172,504,330,725,475,482,159,853,086,148,856,774,600,361,341,219,288,400,533,995,969,716,394,270,874,634,158,534,917,758,378,441,563,825,270,690,931,067,891,985,403,686,983,229,693,343,114,119,147,874,559,653,386,348,779,608,890,679,416,751,754,961,535,407,215,227,175,279,081,799,356,145,698,621,236,139,886,085,263,675,181,351,186,625,407,540,370,889,477,274,816,620,521,162,278,835,043,822,673,560,776,089,988,423,050,141,452,384,334,685,657,898,712,062,911,177,737,936,843,466,662,584,232,411,633,564,727,235,334,335,163,829,804,953,592,788,152,200,944,484,201,768,287,239,814,061,595,956,516,649,371,805,172,382,823,120,884,087,861,549,614,438,662,736,487,564,925,011,504,939,425,864,112,506,782,272,745,859,566,960,135,601,722,602,539,426,492,417,856,964,442,338,652,479,561,625,154,040,640,971,194,912,411,541,554,980,280,905,788,817,221,657,627,743,720,194,974,443,051,968,949,578,776,842,640,890,538,496,308,661,086,411,623,394,677,546,782,600,601,792,744,112,184,848,013,896,132,596,507,803,943,341,003,077,784,938,830,117,722,332,990,648,307,082,592,035,309,932,822,990,456,084,259,620,097,774,922,501,495,459,335,412,020,932,363,566,485,552,345,167,031,519,819,471,510,309,073,914,132,625,920,752,000,707,910,980,602,196,270,771,152,696,813,962,320,690,587,446,099,465,533,704,765,362,807,217,085,489,201,122,885,113,814,092,437,593,070,926,098,872,473,557,809,759,469,999,373,880,325,932,298,067,600,930,299,730,895,085,470,601,183,985,946,431,352,836,511,339,101,338,851,992,199,534,984,942,983,632,463,697,946,991,346,519,417,714,873,205,533,340,767,150,508,222,537,264,312,955,270,671,223,596,987,498,992,952,592,567,838,164,679,860,064,367,420,530,734,991,176,343,744,000,530,939,827,064,422,431,016,653,694,919,895,561,491,591,322,531,631,870,143,146,463,252,857,203,961,064,341,294,629,596,527,997,170,372,927,564,153,144,498,192,076,380,082,469,990,116,139,697,100,248,479,871,599,574,372,370,194,935,018,438,480,410,437,099,761,882,089,046,399,778,623,669,943,456,903,970,079,292,848,530,776,387,776,568,816,090,981,674,243,008,426,563,113,994,640,490,449,061,056,161,505,549,577,268,772,523,336,241,437,508,390,172,640,012,195,259,763,200,020,692,416,136,836,523,284,774,080,376,242,245,739,356,612,167,968,129,620,595,127,747,620,293,415,982,458,239,998,800,895,295,474,557,513,877,993,137,461,989,762,964,192,380,471,101,535,440,842,104,003,763,168,605,595,776,019,446,109,700,588,356,984,360,755,729,941,653,847,083,942,468,968,379,869,934,280,181,253,465,250,516,782,471,692,727,909,478,104,773,475,955,738,793,254,029,463,758,991,218,751,779,809,660,167,178,408,668,217,012,497,938,920,373,850,465,279,406,642,564,215,228,239,514,854,448,570,635,494,481,411,003,742,265,493,493,179,539,316,299,754,110,163,271,617,425,127,762,125,489,294,560,223,279,370,633,460,999,251,963,010,215,473,828,003,476,539,945,263,843,891,681,369,444,233,601,330,982,796,335,362,817,462,334,873,233,277,374,466,354,290,701,748,958,243,274,858,043,714,118,021,541,910,686,334,567,233,464,726,499,020,283,518,311,033,930,959,433,111,045,492,304,280,990,755,623,553,911,799,785,416,184,211,940,047,853,175,737,697,666,421,139,859,857,712,032,640,134,996,394,773,511,970,307,530,127,761,029,571,850,523,067,535,719,929,253,902,622,599,868,789,986,879,374,603,574,609,244,372,913,594,575,878,241,117,294,020,074,706,246,221,281,075,825,172,428,533,809,191,915,701,735,235,700,367,106,492,205,824,060,910,632,984,990,209,572,486,792,244,231,224,606,695,806,496,280,307,494,882,472,340,504,792,361,835,496,528,324,718,524,759,211,208,858,165,141,191,952,561,802,784,131,942,842,245,224,228,827,534,118,443,390,639,138,152,890,284,343,166,189,052,435,879,875,492,109,263,068,102,447,393,469,201,378,301,519,305,068,014,579,222,093,581,858,548,416,720,176,282,933,682,369,830,728,837,771,304,568,777,533,906,765,247,858,519,472,240,388,829,410,493,512,375,766,630,670,867,694,296,620,786,049,090,814,469,219,124,161,373,601,389,889,121,273,840,460,804,268,990,408,896,448,263,078,701,047,045,518,534,065,554,777,886,861,108,953,185,067,927,859,660,287,155,726,962,826,993,617,176,459,637,727,883,921,584,491,631,212,033,628,758,819,799,581,683,108,472,902,409,132,212,591,550,430,880,158,744,305,581,350,730,572,248,727,995,931,096,307,045,820,874,642,985,737,514,985,208,016,740,792,493,627,484,057,396,239,756,665,488,554,451,269,004,693,403,229,196,401,983,479,912,354,536,475,272,431,055,117,623,309,763,595,031,748,681,613,040,859,723,150,051,925,016,603,400,600,664,250,266,605,323,805,684,275,060,446,141,867,619,368,058,341,934,556,647,826,179,192,389,356,807,593,482,666,698,038,281,988,979,199,652,847,280,713,534,634,032,152,424,640,879,108,466,952,991,914,331,689,738,729,030,304,969,934,487,885,245,064,572,166,009,719,128,488,274,165,571,904,586,695,379,408,346,283,348,397,365,445,058,137,145,547,206,859,711,116,698,452,770,936,525,166,917,081,883,486,709,132,684,204,937,955,647,325,363,525,682,037,087,480,998,365,111,482,905,688,010,193,121,040,133,565,223,224,405,894,475,131,976,162,084,444,799,399,948,941,256,045,709,053,662,213,741,818,404,617,444,934,252,464,682,495,022,194,824,162,702,409,625,348,967,549,704,829,953,638,022,547,712,286,916,426,830,111,593,359,426,765,234,775,262,762,765,747,298,849,381,519,112,778,447,432,348,145,572,113,250,887,965,341,875,501,000,312,869,849,571,485,386,690,316,961,375,514,172,709,816,819,489,299,312,552,209,932,382,418,222,259,483,870,898,449,341,781,941,169,464,405,404,452,626,044,605,503,187,473,402,131,204,071,422,465,201,595,906,568,459,907,330,443,889,110,761,539,533,120,584,711,601,298,688,597,876,582,445,033,010,087,954,727,254,624,033,979,812,180,201,701,434,801,943,522,474,989,215,897,170,245,951,487,505,382,111,003,236,436,982,485,678,691,371,611,002,259,628,465,309,616,526,247,958,268,661,168,440,690,037,575,946,189,986,995,121,003,963,532,898,860,882,485,553,702,960,195,646,367,864,082,133,786,311,476,831,329,645,151,979,368,753,438,985,269,190,782,696,914,182,181,887,282,562,472,264,464,943,898,131,833,265,596,577,880,830,469,243,191,504,839,168,647,797,730,388,930,149,955,353,022,701,537,715,658,453,683,188,026,318,914,168,989,131,532,746,000,266,141,778,919,515,998,761,410,971,337,023,074,294,481,608,653,402,447,390,469,665,312,010,330,596,048,576,460,125,754,614,169,606,299,623,371,836,323,505,375,163,055,106,247,054,248,620,430,998,510,775,147,412,036,841,722,938,647,660,327,823,883,896,257,837,981,491,863,714,584,242,655,011,553,176,291,106,813,260,988,704,488,101,509,020,009,216,428,523,506,144,105,354,960,882,119,367,144,941,886,271,280,121,551,562,481,726,171,217,121,017,051,248,300,969,498,767,389,234,097,974,917,242,737,148,964,858,393,942,139,956,381,653,017,541,892,184,152,127,915,853,075,022,779,518,132,179,113,273,694,018,392,031,525,323,295,984,850,093,634,711,333,751,666,087,616,633,452,614,432,071,701,977,270,876,776,849,202,455,662,677,914,274,232,250,812,892,879,872,831,269,037,623,155,462,151,426,685,932,028,553,925,600,966,264,698,429,766,765,513,736,536,941,322,651,768,131,465,066,720,466,006,168,911,895,219,256,426,603,980,956,096,668,480,617,813,705,719,120,710,961,424,611,000,369,405,473,929,087,472,412,750,594,220,050,656,549,258,463,608,187,291,992,305,693,740,500,726,523,456,690,023,562,455,743,857,975,634,170,143,979,251,509,415,996,531,931,825,022,480,456,079,633,555,144,621,768,120,010,707,192,368,467,011,458,690,693,827,860,397,804,902,149,285,505,907,512,777,801,439,662,493,453,300,946,384,917,930,417,645,076,043,402,030,024,953,580,738,773,586,726,511,919,148,442,019,906,136,000,845,038,921,324,603,186,022,594,744,006,706,190,817,911,873,074,773,760,548,567,402,988,922,254,955,885,176,083,167,976,401,335,244,644,907,724,471,448,531,419,693,709,787,563,486,521,285,151,105,286,148,088,676,741,532,556,559,435,813,242,784,356,789,595,708,749,668,143,454,658,040,402,760,564,686,580,320,745,526,318,365,985,734,538,338,799,706,463,136,973,393,844,006,254,104,116,681,234,759,887,973,030,934,370,125,658,791,651,638,538,533,092,058,116,415,301,841,174,143,405,362,833,105,808,786,021,618,677,699,629,314,847,141,388,293,248,510,510,480,445,102,924,227,400,360,124,637,117,266,287,697,887,760,454,615,746,244,559,956,162,521,696,352,700,136,662,792,272,760,694,257,848,731,973,384,392,848,707,979,070,852,184,042,283,726,202,974,534,674,554,479,434,144,265,301,715,127,389,522,180,420,726,183,646,077,679,879,234,685,904,554,935,998,179,665,966,148,291,857,593,900,646,955,561,261,689,637,156,005,941,017,684,576,690,455,896,268,414,881,732,117,157,352,478,091,687,982,510,825,708,375,731,095,971,050,815,168,286,125,785,204,864,816,822,331,258,741,833,562,496,225,234,820,488,316,422,732,644,336,726,718,762,574,935,373,889,853,370,909,084,808,110,560,249,035,242,126,933,962,002,648,838,250,238,546,451,951,224,949,224,222,771,620,614,181,336,761,547,181,951,223,171,113,476,823,325,821,645,137,785,507,238,781,297,408,519,924,275,472,174,179,495,317,346,079,185,501,474,897,254,404,141,234,158,333,715,796,713,128,030,415,695,177,174,129,214,370,986,577,231,549,379,730,723,580,308,534,518,287,057,636,014,515,608,286,813,703,516,313,135,294,176,390,923,935,907,491,504,278,797,391,549,353,644,935,382,215,253,546,472,572,676,973,565,511,852,090,585,073,430,125,833,018,399,071,887,301,036,253,303,477,523,595,661,134,704,517,379,983,941,543,047,518,238,092,833,617,274,793,664,385,670,021,628,323,189,406,355,299,504,846,532,469,282,097,764,303,955,524,134,468,936,256,375,116,338,764,208,003,492,041,460,728,244,464,007,687,605,863,408,066,985,278,138,535,840,095,029,980,691,797,142,660,615,953,730,703,570,579,841,309,145,482,034,156,659,685,815,087,385,613,308,142,256,741,063,807,346,084,277,748,266,552,209,537,152,970,770,716,306,662,938,404,229,937,814,349,686.104853133702201344
$ 13311097592260205592910560001099321299703426256545053842773984131121443966631401898625131671156500220420653577424928906321708864350301007087518504123150873455888893717754298283944050512002350174442996661604477558424709878135894222103835994101224304970926137578512199095275726837557385025049893170418311766246237433029195961112965388489341352654260414703290859626347491526534677540836287933492947630245939545697069936383839493836491053756655527314640471845548980002123561679781390908381065302919283116659879141030072711546515422448390450787228046475051616241888372108257862518434616168633844215792072274272781498396546194528139662528374394765852009485542944722010254882567812194577692482206931817711178602085035992867085554818531937899840535862765754727295904689338585789867251021404325108387182638929142202404743479034435117487331635751641216396194007903128877283176311792745204871316845382431426959080768991388543500474982068269488090634315020579686546201368898120089023506801822017592159873100406426969728030580195808306417359965142729179805353091568541941627020866192839334551820326119592103752274439899835195471719082335647163128947695146763921253056398644431244439942459737577888398691355065348254223718619305658566264484339791081842767021112459919367632935283517916413446896531314341120836719401828089554916061155083728633500188578343596018665397601836951372391362582391279880894963847882986761087578577347910623623192590729326994752341107502540857524941922789290772804501832000095146239652674275194650247193910397229737908859189021301585718501032445407863054277050903077816643271952599356529424135264759581261139457926167691408035381848515993790500632888619054687413386118921350891869071615789688899387722445682838981813182860788668711454066292352610138794417492005381366836483662345562353435443400967194585240263484199461600383068799396412300904486978754555150672500205173580086652058350797367011513817527768597461797882816461712399660569517962558951551748243819689963193652125500147137809091150556079931952330277476116886851890227421173640288523823789985730613135637243173935262741670570042440328360220270507365573653993881112879842288382080560319467124641129909077156151500318901732355437373932725143548728768645853129506669883746487308845552414995364473616686710109564720954336866537082916184247184147235055951711140129107143034015990905106326664610692793939549078293953185428462395801385055740453044210831693041244771143548485185697957434715874037746263868789300138548027646057519982748077669095426455411388870074105407470352831727041400869298979650353598774385933725602019367673598373776658551805772288706116884900881656001751414088243925324595077313998264492087847564959446036208396463266185912896980806675195211219696610511094481094763351869697537208214996053896348055947533681434751415603502822901493955568268064489431246728698144550457274074000176606917850797670381804817494740936431600996040022231770807088362088727043787370388314255663942552756156863776238698772850028761645000536435671907110082471370102415169002524652163279624131562580124318314889025521031659511252267534995926142958075682990836214486673136267317808097241424814895735138494947461055764760532552355589444235321861108932058815358069809115239181564929297062953044246888027740764443412632016943881961650490754420687437109713025094227623334539462624905314833733158797059294785883393280601166574748913055169057436869090073897521009945760988120788320800252726575674139603518474167400429776949133037127569619674156829870969931451247000425954232989866565442321858903678342015520888885629482316888991577718187848357434014386583487100947525738541708529252907145387616004965429050359156807391738912066021443565990343100904251921887969882018127248412149273752275702102484058256431678725170611664633133066805749342718404977540402453002889233421321981327934889508872317228451563368811212277275794093939370237723189257752600459149712699124454296121813988776072793012547223702225263844476638162313267744431687409640251727979392505113680481379319314114114471656779758772085699899414873736465149561771199883328186241497387342344670922943377646355147587107431729307633989858416576724334780433915448280243379610982802147223016468531890219989610915955597564981196194629462662319104046318980688343979038931665219423012878765342586878256753345177794291868687749741545328187706029988946902136216995645337816255468714134692647452131178856983181166312104332445940362427914792315307900733560348977657953244640426047705064124095012512759087247870794764376408604020109840342682234965179940694961016734796076599789029883878404843788605798474556656817724004457801189233393093290386408638567213938325454342713528257204791696709382746737284419967634630408202218797096984016363385781049701676012037270639610763551385646719652678720706860649204800532433276956338329068761489777126536448787768075687526341673135124482306036812561941901939574896964298820809112523545831113740480800115490328466237212263671400433182307583476565501577943108122968586444876858620897908919555254366025275884880125431503548778487242793909116587066080897035809514279166886694691292670940342727807515360508800691296352094394740397993379371180231834806688201705908135988918364435052029768143778950583214058751393192435446165242825069602252290973321208444043739040744340221176752297712937442374324835261220305895287026727562803747469113015311283940459648800240387890789019545109146791021862557037717085388200285460178802105776596886338754103576011746264115174129376552715005799127522874820711481154304288083696503235384008590191572358995715096355698114847511606719866513319641525284540100225668199582457640642495055113942107510454462196452526264063089617362013170068160591048001185993726144197325957825408689976923790341607266578256205770526387651958750435568108605154987463973735612081645970980254886096646152885429882473329964872460635854723256045821173062343108118349054766744762341900313236956477516771950259277851931180322083863089322910735513414440514833533843285491938733986745249624436321559403260142452212349066766291194677484320492370338580608494344350742457290940074137352832217686417758447965231356257454540270008820627486005392751597375710529988248266589745474731352602722087039666398963947464401107468348404246950953410060600112652010836100513356552624231828353610911496759569599855412443000195563921876401207834651416036923031734161297582558838633004614056663216619841469139195421783456161578870377908131534764066295103253406010176957781790220242072993275214357416539764922637104852367402073926233792501039784325742363427933694053505775477065719728257061835994472569360542292981523283064174077851162012640663095398145349659212212526939529807068186234271917647796490842326763777195313804575850790998796106121047367989571973065731690725816156102559782905864058001961065346105647356152717227675265397147412739498776865966536262537231819572948773115875476638094451373783428013194201888823482726264572721891119050093089616834372478547679572915195262163525439018103698454327230991068096840476604395891433246985912409938229586190339713078202459456802567861502194625347161652311813185550818477559739241702918096171731631656929750801303900472932456521781414827624527391469940593183296223217062978152063222900347151072139075912308182108360332952614180161687223696201857769029076670953329938347560167770738759170520008363387814816521706042504643123255917196973984788412272952339864638181716731242681996445670742942255794272756702747565479188412158957189628941006352204598601091824984694918868856762499173537085642561640076875953086928888752272872735048997534176028442474381679630664699536121740249729947916901777739024410215303799569397518988096674188572389267587340258696006532680426596272336732347986807673102146433091552983810174810909173409472576953282557298949617459145633445138958348136288384504894080864936033309297124683751966794545713728965988425113811864678248791588735373432695130436339466910711455319278506104978355200697643367894839221801574394190190107480296245633248775595312253445973544835956744133102616620691256232977886471399486416272453572664688169219346200696734554257677421959353545795545553546866336924908251315678006651343647722625491475049173467289011543054850853231616090232378660590236838466853078641283439662420516909919546582731733986011145539006089644133657198965651397033512038847204686135791977259849236603045221521405762147903016576452338154012176478229171859400113978405446906208390283267631920018043524927674836570033514764809094969117951182134787980552885997095303890019468905349093835623201133547032410824107126739399260634111127114874270905160741328314752560079762455324358354238977282900812004125893160624688269337647999002848450355861383092322969672400151205786999679614557931046337867688759496704269531218764050000198920698942520203592381805032551508564492175288001163451913552710347487433320168766236160276401102557153460598602680349298072702424396282364707704444419606839058603544351375624686180160479346814749985312777375016552803539085024892172395063351029914291294998339222529239428281526158049175801959791585280248361725863102048200882569650729226905666346472790362804231063689376359838176736485794319224589664712791986175330062828651797624873966180233163389078600697983812252011225571290351109176702491769178519565903886214339093300124268252613941547778798010492075136055645984968030746484467638625698751372632776252745683446230674083517349152404256292365378183985659449381490842229333190410120930309603176010480600222032586968262496377614205713544046001448178457384712827242431244374487103341617127024666243022072011098866978901593305704038895813328516977181267018090776634175408431825770255081413055528342980668408455245991203609254565401683796526892299919787604438579352701125626828695069649945.03
