12,204,313,626,510,273,647,399,341,315,279,112,168,062,103,652,229,578,827,528,467,730,950,628,454,613,663,966,709,622,957,281,304,235,979,751,028,598,491,943,692,741,758,313,121,163,102,827,372,419,276,493,254,349,081,221,095,629,693,686,496,623,520,486,036,232,860,158,502,196,126,721,814,307,604,792,866,977,067,859,670,513,618,871,054,907,141,811,134,488,569,826,629,201,576,442,014,821,701,382,454,297,235,279,925,030,190,308,922,334,410,338,795,490,838,943,024,737,442,954,172,000,056,335,145,203,153,252,096,101,482,498,461,700,851,820,197,019,081,624,053,592,308,033,988,696,042,701,353,495,681,183,788,333,724,224,478,893,007,271,948,742,250,073,744,024,203,073,305,403,651,078,130,513,532,585,349,086,909,684,765,260,065,919,054,789,298,021,323,313,521,534,885,194,953,592,869,018,543,381,936,403,465,401,266,645,908,466,458,176,617,464,866,957,371,113,289,539,697,282,776,149,111,233,048,203,878,719,128,727,372,941,188,338,891,846,954,937,360,173,780,311,819,489,543,508,846,801,300,525,493,528,916,191,128,215,660,714,112,662,355,177,076,169,376,961,730,791,725,331,694,407,536,789,887,336,162,754,542,697,169,409,927,682,363,179,154,438,256,830,981,956,444,573,051,993,403,952,471,623,838,254,023,951,285,936,322,459,432,320,388,464,334,904,371,711,267,009,694,354,243,731,306,569,427,800,125,824,301,194,758,261,586,045,033,529,395,966,470,072,166,708,645,366,629,330,440,910,265,147,384,813,193,061,503,528,290,284,945,319,273,287,270,248,610,407,114,225,966,116,631,281,655,574,396,031,455,169,640,395,314,031,367,225,959,312,762,067,416,309,114,263,576,662,812,724,860,799,118,069,154,611,725,479,286,474,826,854,809,873,757,035,670,706,648,274,182,341,686,740,490,261,219,825,583,628,512,423,207,016,821,162,942,526,718,504,555,153,570,400,494,070,026,030,053,826,515,273,063,459,905,951,595,461,419,282,731,530,188,041,851,461,490,277,321,444,707,245,114,883,711,618,419,300,358,021,553,789,115,861,861,159,538,306,818,540,303,653,550,965,218,763,006,397,561,969,511,531,484,809,026,032,893,629,936,046,463,563,440,168,420,375,273,044,782,960,859,219,037,693,599,964,331,024,733,177,920,729,049,561,516,254,397,483,178,528,107,305,189,056,663,502,471,298,188,679,754,179,935,820,997,605,555,787,773,870,707,316,336,836,518,764,479,281,696,324,301,362,404,949,693,942,281,817,681,436,447,928,911,972,189,948,868,584,542,632,302,135,903,264,193,038,665,422,539,534,007,993,887,966,999,779,452,669,068,495,126,466,861,846,278,061,777,942,497,699,394,920,102,280,161,194,907,987,159,454,084,999,038,020,312,849,611,858,624,647,403,441,041,874,915,232,992,997,969,165,461,384,074,043,253,328,273,728,816,194,534,766,333,805,062,513,896,957,715,426,037,422,965,252,434,335,118,130,697,241,897,215,177,639,317,233,432,771,086,531,589,862,252,997,889,887,739,926,264,357,902,915,745,847,280,337,187,930,651,821,667,161,289,969,779,253,510,373,807,016,827,756,403,533,547,865,478,030,044,026,997,091,996,503,877,826,355,136,527,454,650,534,851,542,986,535,172,803,740,221,690,487,043,837,769,855,597,900,749,575,009,150,413,416,641,761,639,178,095,772,064,168,530,214,240,857,342,529,330,948,303,225,885,380,653,624,653,393,889,883,972,493,748,432,682,079,563,200,774,714,765,100,151,213,601,516,004,774,739,748,480,499,627,075,503,529,107,929,160,033,109,079,430,020,161,059,943,662,384,109,264,361,110,957,911,230,761,231,958,548,815,931,367,130,770,829,427,538,548,923,378,274,894,153,917,850,955,150,021,134,240,589,920,443,174,378,924,025,510,896,086,603,465,569,101,845,548,315,158,020,923,099,644,981,029,728,683,141,182,514,123,093,301,811,378,897,376,109,510,682,440,493,355,275,882,061,708,896,073,877,101,911,079,668,241,639,688,839,657,679,696,327,040,471,997,252,981,287,288,489,297,616,699,193,160,576,258,966,139,884,101,581,163,234,322,329,795,119,215,376,386,013,139,580,427,019,144,242,764,842,936,143,880,395,091,728,511,203,564,543,439,840,605,719,204,756,838,728,739,610,459,897,618,538,727,558,568,638,353,557,888,953,122,723,121,679,534,390,565,173,830,522,102,297,025,711,137,008,159,568,170,139,807,972,392,336,708,058,307,837,307,084,985,909,953,082,934,776,250,711,185,229,067,254,666,796,877,809,712,048,239,107,750,898,517,548,940,272,645,995,836,682,513,316,647,194,747,860,488,467,799,381,457,755,500,240,960,353,829,030,574,581,639,144,845,953,041,801,554,828,613,216,597,476,030,414,166,215,332,333,541,181,709,316,534,314,760,669,171,104,933,826,706,616,819,588,993,768,931,231,081,795,346,185,633,870,871,779,141,940,547,836,666,046,640,855,153,558,146,990,276,137,194,623,509,958,115,374,666,194,717,304,616,201,934,166,511,247,008,950,590,634,239,754,214,824,736,436,314,047,296,777,237,679,541,410,395,518,497,226,588,901,880,168,363,788,929,357,870,443,247,542,904,000,790,340,408,440,348,469,130,725,953,653,518,705,464,099,907,015,529,539,666,141,978,354,357,426,814,712,347,037,630,904,507,234,418,036,923,115,061,842,945,068,767,259,924,432,819,754,382,794,678,743,336,380,756,189,217,116,529,463,901,431,887,985,074,759,042,614,858,661,438,838,117,266,317,615,126,269,196,385,111,005,865,916,318,423,108,228,980,834,829,889,598,484,237,848,379,929,310,540,509,698,276,696,636,150,013,278,115,058,525,699,963,112,831,271,640,324,549,092,111,906,022,107,253,192,753,231,342,960,957,943,236,744,325,240,503,182,134,928,166,583,096,443,192,330,573,692,763,734,427,976,323,832,298,145,111,179,709,376,227,092,502,968,789,537,073,347,988,755,240,256,372,162,569,450,268,055,626,367,800,861,567,221,499,424,183,297,553,689,312,597,985,943,522,342,213,009,092,616,977,795,896,480,163,339,648,217,128,761,639,956,542,379,408,234,591,121,863,066,413,672,795,916,370,603,405,599,667,845,993,206,979,385,159,809,749,916,669,757,790,902,692,803,664,990,761,037,039,835,471,208,511,758,372,307,228,859,390,103,028,136,764,572,478,310,363,784,818,863,139,724,318,438,094,940,255,738,783,438,040,323,747,744,592,236,206,701,931,533,646,277,090,656,770,929,633,244,076,037,383,908,056,279,386,849,266,980,865,554,735,316,703,239,494,381,405,872,570,440,867,200,862,534,280,348,701,109,339,153,196,954,177,199,799,399,557,873,026,221,839,048,516,081,982,814,932,801,679,818,419,011,753,529,330,635,610,385,254,855,433,250,270,491,890,691,385,929,768,711,445,372,995,244,303,795,591,853,583,255,715,780,094,269,390,791,814,777,300,497,953,727,112,508,270,521,498,560,224,514,627,248,585,418,479,366,575,710,126,048,613,777,529,941,385,405,086,708,345,647,152,712,865,943,021,502,848,848,805,308,968,894,247,981,144,348,785,515,473,415,465,842,760,630,633,627,996,091,652,291,959,917,602,364,653,807,299,409,158,145,523,687,928,481,683,620,251,645,810,737,481,108,417,767,415,127,202,995,932,764,266,332,552,999,912,293,568,271,130,275,105,979,570,330,147,195,782,010,805,492,902,496,542,844,674,325,652,806,096,441,149,310,440,732,597,090,984,238,333,202,510,229,409,508,343,599,964,450,327,077,563,146,595,596,435,247,145,184,493,287,094,553,319,357,589,006,585,219,431,654,778,708,881,178,580,615,348,826,988,193,959,499,340,718,539,585,207,399,815,947,878,382,521,704,424,608,314,653,299,215,661,747,450,174,582,332,016,013,505,346,422,234,636,765,770,283,603,776,084,135,708,121,461,276,183,241,974,443,250,488,503,950,874,654,714,937,380,075,257,390,436,849,686,103,681,796,152,551,999,555,827,513,472,543,190,977,773,732,602,749,880,325,176,717,858,802,200,571,989,568,320,210,918,090,416,529,465,400,181,717,428,738,425,473,483,115,094,408,593,479,949,822,802,305,977,565,354,203,402,730,002,747,759,539,335,065,307,295,785,834,388,284,025,492,080,355,631,268,253,356,084,301,279,514,721,534,855,508,239,438,731,113,601,176,453,929,135,637,794,635,911,374,394,547,456,492,500,474,317,469,777,319,333,839,265,956,595,775,417,678,803,947,699,143,460,635,413,949,165,981,732,543,279,268,859,746,303,804,073,415,292,304,337,267,513,671,291,403,015,921,819,289,254,764,273,859,111,206,889,445,087,681,215,645,181,423,728,484,080,655,667,268,836,393,611,330,361,055,854,493,369,490,187,955,258,989,732,132,860,441,745,186,895,499,197,469,908,406,826,641,408,089,961,755,664,750,581,925,350,823,430,244,802,233,778,616,228,758,875,474,729,117,824,281,488,296,169,420,246,835,399,172,274,698,542,201,036,605,713,229,693,868,564,390,751,102,333,200,413,829,101,688,547,851,047,046,585,451,884,332,039,825,241,100,574,292,979,878,437,013,979,095,996,970,651,322,212,686,805,351,746,762,322,145,290,279,096,489,021,045,755,251,498,315,332,556,127,401,615,096,813,705,949,018,777,061,397,453,363,475,504,425,789,675,478,517,630,748,305,576,230,486,964,253,019,685,584,768,921,610,085,722,106,047,662,007,049,043,895,281,943,189,463,944,818,419,014,350,972,852,725,682,029,832,025,353,117,798,717,415,572,018,768,165,999,321,001,552,214,229,182,650,720,162,674,033,078,893,918,183,257,233,008,698,382,572,285,322,939,885,000,652,416,217,504,407,595,208,794,338,129,480,435,734,927,475,878,135,356,180,615,533,413,913,216,645,859,959,856,001,677,120,120,282,441,865,650,471,719,430,006,124,731,290,641,125,595,592,423,289,979,270,321,863,301,911,957,741,901,189,416,883,527,970,047,392,218,989,160,674,506,080,693,390,063,214,210,052,538,036,657,942,375,623,010,610,530,035,635,157,964,573,188,001,723,640,745,548,910,070,080,473,608,625,504,833,823,126,416,113,011,442,884,545,638,321,484,168,166,617,431,471,348,942,772,778,029,763,140,760,374,078,294,759,877,530,300,448,630,655,406,828,348,892,966,264,133,545,898,185,943,735,759,064,261,771,949,916,028,944,283,756,022,638,499,956,624,241,804,390,738,193,557,983,051,586,609,169,078,011,737,040,144,183,839,054,657,247,885,538,387,136,823,676,467,501,435,220,960,022,891,354,042,872,774,097,623,592,939,373,789,451,554,496,196,816,276,882,495,492,444,865,751,239,170,900,019,045,128,165,517,642,600,933,696,889,563,177,113,992,566,187,307,003,117,600,764,817,635,098,192,412,800,660,950,777,501,095,063,531,440,920,132,704,538,100,669,112,359,359,346,476,978,739,816,680,027,484,424,435,776,349,999,758,627,728,467,312,846,466,582,669,005,524,385,706,499,222,187,506,927,571,003,580,808,351,916,213,131,401,884,911,545,712,566,260,087,420,669,265,903,786,495,442,764,777,399,697,079,846,455,381,215,649,302,614,181,316,825,605,346,290,156,573,471,761,349,817,529,592,103,565,440,687,492,305,342,284,533,324,207,056,741,259,368,081,511,821,199,210,983,034,158,557,263,591,696,858,194,806,032,677,954,167,862,738,017,118,660,259,021,381,576,142,360,938,108,080,512,566,768,878,518,504,675,146,559,661,203,618,441,524,233,277,036,577,590,476,179,488,460,858,878,899,280,721,903,320,089,149,412,846,782,671,244,773,198,645,386,226,257,317,503,387,058,166,739,145,605,205,165,596,977,098,680,302,493,734,937,703,673,582,774,914,745,282,300,819,814,088,185,764,475,596,622,751,001,238,508,487,872,104,490,388,546,478,201,691,325,638,057,289,555,514,811,062,225,950,671,352,832,014,683,392,065,883,455,041,625,117,130,172,043,116,512,002,723,130,540,845,454,451,801,377,107,216,422,234,454,811,196,512,610,190,268,485,985,326,992,065,515,747,531,387,825,087,449,282,890,436,303,593,634,751,865,048,915,174,950,909,176,655,151,383,443,435,310,686,847,976,904,087,770,371,775,605,482,936,763,828,209,603,638,938,387,769,955,666,365,475,175,040,894,817,735,155,098,610,690,175,493,764,870,001,701,959,645,721,609,236,137,910,415,584,288,862,267,298,045,388,404,889,866,596,044,651,727,401,065,757,104,614,088,054,268,760,455,075,883,043,978,290,299,799,271,526,868,079,125,577,493,385,010,580,138,629,836,051,035,687,206,957,738,925,946,334,966,509,268,976,894,985,367,342,689,501,377,577,510,648,404,764,612,830,691,955,442,166,587,344,511,240,419,458,354,094,492,609,917,673,237,797,388,335,104,737,359,804,825,154,788,017,852,822,029,640,918,958,069,715,705,357,870,272,354,919,835,427,653,154,755,105,241,955,594,525,003,946,567,357,718,093,590,693,326,860,727,346,723,408,263,887,182,061,872,150,777,095,446,763,631,197,799,383,881,659,629,493,790,084,338,424,343,638,078,047,975,126,823,974,804,984,413,727,459,889,804,282,610,770,343,355,766,796,946,042,984,082,230,868,459,921,272,121,645,197,138,147,502,549,976,402,434,804,945,521,900,904,764,828,791,473,268,798,599,219,653,733,169,960,011,959,644,862,983,457,891,308,944,670,577,091,739,991,113,646,902,658,804,726,571,076,659,767,645,895,856,166,252,411,134,615,034,271,531,018,670,220,189,954,211,212,488,323,617,064,011,866,757,937,135,421,135,700,836,486,683,961,458,190,904,380,976,440,151,980,363,544,501,037,050,419,517,168,916,067,953,899,256,127,928,996,813,563,359,632,000,068,769,542,112,704,003,924,060,346,223,107,360,022,074,626,660,662,401,107,960,843,001,249,498,099,076,160,708,788,107,755,943,916,797,990,371,150,766,873,590,782,553,763,081,783,338,530,240,745,540,174,226,570,147,993,911,922,384,618,223,871,496,430,236,255,917,513,434,638,627,137,070,449,464,707,718,025,539,398,805,592,074,608,066,332,500,825,114,179,415,342,180,928,282,598,385,969,134,183,016,497,040,416,392,942,324,998,076,757,333,337,105,324,505,319,704,881,786,241,201,217,253,953,722,300,036,911,663,451,595,267,367,446,014,122,905,050,646,957,195,508,337,888,135,474,861,043,854,009,295,190,253.892411672695406592
$ 107966679503097674073425690483850499996647706810230966240376831487807540928406431678455672428925915668941082486250293741101062871952407145231904968936061236889545801588641686826755706385047560984347287211731470490963757775519617374953392413823767361433417529459574877704605991812101657803823579696056465157456122379028165470828837078504576963969054867789268296564838477527925901529115006200548729203185574565566332241875039376380569597931473874254580608826629194639074070150926374695213770303026804332612037048835093074140272679962141710906319655525985782476270481828636420984752924195325603769598090257526715999131482227886827743688747759640041655987929752813047999924366878288712129568558172326749132232665608145288235293140293769943383842981705164751643915264427839319564124657443305546006039976798702452340367685618850405130145229707428325310074743576426752041974488432902797812273928700110456983035111578176785144252902359409612887692391342990570503515942073877057425151832960435410354578924558706270860583000510701202829657019434522688586222598510408047804693045475036586761225727623405897363992532417388934160446388529153680122257019327819007865570982334823104495084205404365634164991952147045064162970835219889255277936625012043234304251953056964291087879410858640780459379672879783965141019480492298531411934790825799163176535135950800486994790314589171405874055980353208144835366278728120362801370751924010613276454258211697569732933539846565067244145285345233462866126007029259211169471745353992051180181215642398312174049145651711439560638835120131305463504284846725419073899464932090147044320732359218408175903199023633916713892726436830966396971081045201513251568544407684417847128941979166367186170065856082363877655501791799562629599305542339900138458579612654440988163390232791006955490147349829605925133324855804009992898647496181063871015543712058793261778909105184980760887281860920559520937563782273463738145180756376222439665901662329452559707418503276835419589196037508819414004311740254561203492714967142262830364398640979979237706465826528694061288743399472773750068624815705949068902782188684150260763743080801953321975115465065237828637436176395713438964753919231271052677271950918390591427721730249413772722320964622487122539265218911593618621739112536545356029016743200825164971395885524038703060319142254206023273814809535558140274497779359242325075742975593424143332509298080862157085519171890274906738041079827350420675315539298322753135942929258466306063433114067571047674214870980566708094514970056089748583249394123889525651092952458937013749981074184118604054268899255048084226790108611336205297481064459248320399609821540279458127877335705117298921379098735901993627041503652581068476720988672694342352986316153060660713765919514027238810081351192355773152423295062807485838646118223370995686356943650602280054911023052488647833839577299015745059560703422785072516439968061660109320459215419433592817503282801868575268476420375362594007902229458662505725324577256085064087802750664681444058987516401636046570008573168502558447130612719523174544554751012419330297263301367047302120132525820855748313055154163885822850186128156392998835541754474424024759803899560145892345966169014181466231718531087169219067014442442615034842303604873070103705696367773521055889047369857826545188064216982778058030888610849903743961147781528300755078394028243114249518042752414689678754416069182775509323013231176957828231151102002050222869255569476191620702761637693910099212387633020710617788688875420986751171156612652398304248874212035514270768897890651963633149498996454079070556625881316862659813419492842406041595130162512885250929026700477541078101204924731055149663692361463106970266628046249289389497028157213199484566597780201275988285576792512455032450580172676846015172283244026902332830442406070752867624900919260358457262450002005225205937944059446429945994273781068190117763855438332800286332037982992589691153481008062030755120453166553538252643877555739788498649547482204582873751210532638819980525215251797745343836092364441354371988310192783120668279211636579305024991784984988381629079868251490763380667672312793888378787870846733524984843043646640988375568125603234656793217059831106082470190988308720989162141485146379856785296963664446182024895581166275482734210554544577666237369263712067286020656324062051519543582278855882605068180011459859459919322676437157858843336038653911687807221970596572635343073221476595628040724530446437580176327622319191914167842256467072819518813481536786009172255722653731050726266523636520167459113446860601759614479215229804932053769851315212561022948521967017750686851209701493606237113229445063615355700759077583817454867993046663318124500805454313275155072293718225657629309480238466627642264952184514164086115392204446433073374887573545372445939180743011969154888760113987247102022978542933583184932429670471909863077126349397997525764981706627229267501071533182110829700796227887546169612672277047661251514443607638486740544217791316576518280363212014249665893707703485667455762740594312915448518444794782758758178312837226921514765728110325774889668972345570254331040497850754532548221888366447237932754045088753478294883211490454822446986639521661311338273490138971511523828406624322811782259074542252957631080643051263239080883004498275258315599736037996750497524577670625643659576113675943762876630777810810992877851874060622130243733545907896608834449208286262808926963280654802409948866873163795261817301767429647073024134531287591567453743288948973784522780204190237736417042147375870060177982173056070089686434281349306185524565292526294084931849764402223472881676485041709436513254199152763929626941473204914848060257183925972759471347794915615559227001785997168586358985340783663123772853082520441364864931144509671187085869529343299963008320181562995982897005860437180023217350799018114147056254024894954297259945285708424211726058509782561503177982327902713144206631110078539052401135081713979171429858022077237802209914786087512449494071456703119373435512474499978766598410890991211377604481066601547908569904293588315926833872281608205963857118713616492462700820104169265381639736859645175009282816453513652830651497687625762883358201756901962681849579385246523951812505025698395260285945040075357353451147734760144905948320958282880679529978700831380171471841905118361491598324807610778786385116951090037848846379382981908633600086438693313721796899237704569247655370167158886335651837534172404398394496384052251885433859664497427835668738093843749742522921619704837611871340014681356913169706774422354071011342512233512595768623323150141407693734078332212065620984435610520768323916560582805295744012662838101679684559626087768669052061311750230157628187375960530234750936217785019164444717317025333301649712549161361259000493313501679355539294918853818531397211772908582828157995720275360908239763249534094794917530912322152773024479888743982531133104018887374593509526340850596998925513591457768380824216764495472322968212457862586346316610254173335179533400241074728359302625862599402092530633841220088278229231994462892793937135294753820400571035703246659331236069762632950943900493918731365147316231474592914281735885778465823580464030254608533752940663351893699141522738802207058667812606754836355820095813997533090454716964356251718030263015348337029913497627932278231044607075472725473475180665278171842795316056833285136131030711329749785128736019294997253926490987885965846884961150862926386567978428726515559612936077378752432329687471365390729485801658594698175500023619420139978080926742143038151870105277304547223679680500720697308365766167264393170578723813247368899711687646736763586480367741326785885210327715732201767945587627771175271800085096451484009454406118221915544936015787954763589991740121673327478580034531141553366577711415215391855935541535068187930593229970268568677789981025216164321305771348572091223852931100414149601097993189580638828104173346204327781381065715211801896882915471137490742939594842022769823442252222182688728562675676170230693057018876179060301931357528951187565782683040646295328846692191568686879024664020700379973739281406264933373990650627329998925568134733913587399436878803225872386989814156039485089827433562640386233114496842552269699134297999996447169644081110053221221510581176570742551267040106123024519401067172867772408380453960583643888936454013099250081312434989402179224774401779163564363159119388712746962407907732323135807205789042283053913206691450662928516480783259532761773922375297400807258191450267906926923247935543406648996655137878257685056917117073140319677249164622191267707652902935434755028752490722190111593403194447480822747049734521491762990486840105216611763413178865887310286853677219432401621118471002036962280760608841312978352707201676099712016837010521093841603213267549052188353991634102831992040180300281243807550852615873983505750896641614241661231044960349177956322271459034530171631800337826519709219988202774921566099323475644769309473257579367187934915212621851800968522531890129927263552158886610963107964348664446760870321548540876785476230947081475672850803409302468920369381553262841596706914428558935560543892885398655464048364187105067605413529163063454927505154556347322268550406305412281613924765963716825565491948632294655740933914320415408236237176544898948946760217744557382101666333051579256545674378003015123338609680944640719428785573541769089174137546202276001003389207615791401068247417824377320969259147889619309401854188157311435438896297378888419103429316255241674119123428437957655739180268311114142595842343908959620734256437850065202172562753980818398838135383117297806530619703897495809875163329765958109734535335440924256629111764128093150539867729475124.67
