65,692,633,743,517,556,030,934,027,084,552,480,782,774,642,283,376,378,751,265,142,667,939,140,710,753,992,915,221,980,755,778,743,814,697,811,180,615,178,869,526,251,232,655,308,879,363,905,032,945,420,257,431,100,496,019,423,741,272,760,406,429,367,627,371,064,970,039,104,082,596,112,621,906,623,633,926,496,586,891,137,964,468,950,392,218,803,898,872,748,122,093,479,124,545,103,545,469,815,406,813,481,623,672,484,811,937,153,201,788,963,200,000,192,155,221,038,673,278,366,248,168,386,766,990,768,071,022,432,011,942,119,329,440,395,982,627,212,702,834,833,005,714,981,962,919,806,484,217,265,324,775,819,036,963,588,923,225,324,381,171,515,985,712,062,078,970,764,194,139,657,581,692,293,331,991,605,614,148,997,872,939,448,111,669,795,293,889,993,021,594,506,092,144,877,872,418,750,604,580,406,780,188,749,918,436,211,890,302,229,187,037,027,656,945,463,178,031,180,108,332,105,983,135,298,108,168,388,463,084,519,326,646,126,255,823,306,828,174,333,094,201,413,604,685,208,671,364,279,977,624,679,446,668,265,540,664,129,069,210,340,964,124,402,428,732,770,458,586,537,830,932,218,058,824,167,714,747,016,028,527,524,990,099,386,742,297,328,548,245,870,945,048,370,706,916,074,319,379,910,369,393,424,825,714,643,511,653,179,102,395,853,816,859,533,628,764,497,539,964,245,600,568,607,248,924,809,480,800,715,183,735,109,432,052,031,710,457,527,663,017,389,254,533,730,910,516,480,184,052,818,032,367,728,305,313,155,841,834,757,662,298,484,716,496,964,241,183,475,807,383,056,305,075,876,669,502,938,940,580,238,516,026,498,844,001,590,136,025,709,073,008,387,802,279,376,389,984,261,424,972,349,111,439,728,962,041,378,913,887,378,120,520,952,579,100,169,272,013,228,140,956,122,788,293,434,779,960,865,666,769,587,906,867,107,936,131,276,247,002,981,317,284,345,671,497,519,152,798,647,208,094,853,943,801,304,968,133,532,902,521,871,684,938,644,664,100,452,453,418,373,338,227,217,892,271,693,492,241,236,029,084,794,526,117,809,611,069,374,653,831,760,364,007,367,273,622,254,603,073,711,053,427,962,214,032,736,462,492,252,864,741,324,274,053,302,934,440,781,636,773,855,926,818,723,788,158,733,066,481,155,807,634,804,124,081,184,724,941,656,240,491,311,532,931,457,459,827,327,071,698,592,148,018,716,865,013,212,073,580,366,313,890,011,159,651,422,472,292,434,039,876,123,110,141,262,931,740,945,863,422,129,516,515,289,667,016,412,187,064,778,945,563,285,854,032,664,192,391,085,172,393,188,349,278,225,004,758,013,105,882,099,170,631,496,950,840,586,035,198,075,506,801,920,894,552,991,491,294,611,552,224,780,851,956,219,906,252,374,163,376,889,341,111,226,234,394,590,500,476,179,534,800,049,775,984,653,270,778,615,587,736,887,815,583,241,596,346,006,874,453,513,576,329,929,950,704,206,033,250,578,723,585,530,777,584,762,849,985,157,593,764,497,813,134,516,152,813,563,365,066,977,618,173,572,098,773,355,034,802,223,128,212,634,087,603,443,797,754,451,916,369,778,897,844,753,893,990,949,350,110,969,805,738,604,430,696,092,815,937,098,145,178,183,559,318,095,154,138,380,532,926,868,595,553,089,321,657,423,078,452,851,003,914,230,844,520,852,855,579,508,586,701,672,956,764,294,870,486,404,643,613,949,912,950,762,694,477,237,990,664,325,153,515,877,981,110,707,553,477,018,549,264,786,820,605,640,287,926,490,260,364,671,180,593,684,329,824,406,389,528,538,978,975,488,471,551,362,376,648,178,738,321,575,652,119,173,904,885,245,388,169,487,630,926,656,077,321,607,740,413,577,849,064,654,883,960,375,293,779,872,008,003,608,230,986,704,319,284,806,967,581,221,824,691,507,210,661,103,564,278,231,818,877,805,049,974,863,888,309,631,847,838,888,292,485,226,413,858,241,465,860,618,441,311,320,249,370,111,750,429,321,086,201,916,385,113,500,167,753,272,023,797,678,404,112,819,085,197,454,277,583,216,901,963,606,214,697,166,089,030,378,758,381,892,426,033,897,245,018,554,992,707,471,893,370,226,955,470,173,893,144,295,851,268,765,916,784,842,200,582,355,788,301,605,294,533,630,539,872,644,861,685,693,151,139,513,074,525,243,425,215,867,750,110,501,098,041,645,286,852,328,016,854,685,041,222,560,795,542,465,637,651,837,179,319,772,462,022,185,448,596,453,933,379,291,931,796,671,426,805,276,172,676,884,061,419,889,328,405,523,044,165,019,647,307,332,067,627,260,929,010,182,065,376,507,349,642,754,105,112,178,703,401,959,835,178,513,502,587,211,752,654,194,140,011,526,289,614,357,312,599,919,322,505,820,625,563,885,189,630,772,113,843,997,276,518,501,752,162,370,824,230,773,339,252,825,581,352,124,474,007,042,280,040,682,858,510,610,959,401,367,552,739,687,502,674,120,402,219,552,697,716,237,771,385,492,987,477,767,008,052,193,605,028,350,662,547,486,611,302,424,888,204,789,496,149,686,584,560,326,827,546,195,385,932,532,409,009,376,937,786,733,893,919,896,281,189,366,571,222,296,475,652,511,789,616,887,081,167,597,212,353,000,997,411,970,833,806,454,679,935,613,118,764,695,284,842,457,155,275,805,868,357,452,128,768,927,194,096,374,898,004,399,054,265,074,693,282,774,163,275,784,597,918,565,720,209,705,972,129,309,830,845,044,275,541,773,612,885,540,948,730,448,782,975,691,670,957,682,806,680,280,077,177,510,719,498,785,377,215,630,482,815,168,877,627,793,311,206,511,657,930,441,007,155,707,467,456,182,146,493,208,813,583,877,372,524,565,313,409,800,152,555,973,571,395,597,843,185,616,722,452,061,026,382,233,302,923,071,396,334,783,817,661,242,519,392,677,808,115,438,548,913,169,424,828,846,057,321,493,380,371,664,502,129,771,947,957,604,680,161,224,045,904,160,321,612,586,576,954,845,022,307,096,276,922,635,227,047,753,629,988,236,069,973,239,651,792,375,951,985,309,500,288,439,985,018,655,592,154,525,719,632,497,103,438,535,163,056,286,350,731,922,622,499,397,710,185,734,626,650,442,711,277,733,328,740,440,807,303,203,176,270,637,677,509,693,123,344,159,457,235,886,979,429,628,910,641,058,227,701,403,859,753,602,512,962,354,011,614,991,504,008,203,154,320,990,036,719,242,884,190,030,771,199,584,162,991,129,022,995,938,736,925,397,772,714,237,786,336,792,735,129,861,231,084,699,241,817,887,850,342,681,583,148,491,697,866,802,157,772,669,302,076,446,244,762,353,233,127,557,292,696,965,171,458,588,382,732,227,348,788,098,081,919,125,329,306,161,505,595,519,038,643,977,536,856,613,194,636,309,811,749,828,454,481,755,650,104,268,457,316,756,145,843,944,987,915,626,836,144,951,530,086,716,457,685,091,105,041,703,824,068,100,036,912,205,881,355,553,359,434,980,778,945,520,887,104,352,615,500,641,484,452,904,566,682,136,491,689,508,585,888,352,823,997,737,888,909,042,570,874,082,048,871,566,752,275,877,626,586,819,716,195,236,381,646,399,052,452,075,362,970,650,186,649,261,363,640,760,334,342,407,257,581,015,443,397,373,007,238,401,296,077,351,457,616,234,869,864,287,841,345,276,882,258,889,987,110,515,023,494,831,896,276,789,043,307,726,667,986,476,670,990,205,917,571,397,796,547,687,031,275,456,297,379,075,226,822,054,050,505,686,691,373,710,479,653,254,948,454,368,104,734,839,577,183,512,929,623,848,614,594,337,308,361,289,053,998,553,306,290,069,245,087,815,408,528,471,513,335,402,370,375,216,321,991,688,543,928,809,823,347,108,477,809,261,213,971,123,967,611,622,303,019,531,042,397,581,169,044,727,405,302,502,543,869,338,528,552,711,951,121,517,511,496,244,536,504,430,254,545,562,916,093,115,845,935,812,533,832,565,272,235,484,320,400,170,320,566,000,505,748,126,121,504,680,971,023,883,731,437,997,373,972,843,952,099,887,491,419,893,167,117,064,136,429,661,596,421,616,607,346,637,599,992,499,573,310,956,113,001,429,418,409,108,919,628,291,120,161,159,160,556,611,473,456,835,366,468,845,472,137,029,477,342,631,092,647,318,725,868,402,717,507,988,615,094,823,832,257,522,552,764,381,499,533,876,935,023,524,937,480,371,531,781,997,597,958,944,403,801,097,357,393,499,219,665,717,834,335,116,697,661,423,112,180,789,811,686,986,659,093,031,400,428,147,850,503,638,333,813,130,877,744,040,558,480,752,908,043,979,434,543,560,449,513,233,427,759,219,214,161,304,240,722,662,175,263,306,753,618,696,184,428,678,372,514,927,767,146,738,650,999,111,892,304,377,451,321,974,239,225,309,937,965,444,133,487,588,264,381,336,587,914,167,179,887,582,050,134,465,940,263,546,748,676,308,842,121,577,288,342,173,476,383,840,583,239,416,359,638,272,638,154,780,784,062,417,347,555,264,331,622,702,005,974,059,081,459,220,288,054,426,113,806,417,033,405,722,373,823,368,289,812,964,281,362,998,787,134,229,868,344,533,684,388,169,784,415,088,010,389,881,155,446,575,819,903,534,975,655,280,821,663,737,063,962,394,812,450,271,404,548,347,961,493,648,623,839,080,375,102,212,905,037,801,646,809,756,746,263,764,483,044,959,961,888,711,756,783,985,241,541,552,855,099,900,213,768,373,306,672,906,274,820,614,549,951,190,784,969,134,177,942,387,695,016,818,955,146,001,409,044,225,670,160,993,936,453,570,861,086,265,060,621,203,220,525,730,806,458,502,184,855,809,589,880,826,861,347,590,278,166,916,457,788,436,040,248,588,122,076,710,221,701,619,992,347,338,657,185,650,654,725,166,751,327,173,198,240,620,144,148,036,307,768,693,236,400,635,815,198,179,102,783,865,586,936,312,195,298,722,205,963,364,274,654,857,724,157,212,347,456,458,774,283,860,773,258,671,203,581,051,887,720,217,760,464,874,805,858,687,313,771,357,368,440,597,445,938,578,750,100,837,354,565,102,429,097,769,406,412,212,922,725,208,437,338,171,743,093,429,072,953,687,890,605,450,002,957,023,574,076,232,072,573,794,611,497,617,954,571,048,963,583,913,218,151,427,793,376,892,909,390,873,476,414,556,141,736,224,772,873,068,870,611,849,462,036,182,628,339,147,690,036,187,898,038,504,850,845,654,302,480,745,975,211,705,914,689,124,696,574,989,906,071,339,569,946,200,008,773,902,636,635,375,602,302,058,008,680,713,676,365,984,912,645,934,304,605,615,953,630,239,368,460,052,368,812,318,445,019,162,918,097,926,933,148,775,724,596,807,562,141,900,334,084,033,969,075,233,693,974,474,364,406,923,024,047,372,549,159,220,581,416,947,289,209,029,460,757,903,727,229,431,545,805,466,653,989,889,549,943,726,768,101,491,581,432,847,352,960,683,328,633,585,763,235,578,008,526,683,177,361,941,880,287,838,237,361,144,762,601,166,631,116,315,868,129,662,420,402,333,557,623,890,218,690,600,945,676,827,994,783,836,027,159,266,275,791,126,417,206,418,538,245,474,462,908,101,139,195,788,940,526,362,444,726,655,285,312,113,974,342,058,483,422,886,515,287,799,656,956,653,556,687,991,442,212,120,407,399,600,393,546,749,504,203,460,695,680,431,147,103,385,366,059,528,792,735,129,131,575,020,775,477,266,529,624,272,183,223,352,012,972,510,371,997,366,829,531,953,599,296,025,018,093,213,752,116,032,920,883,477,905,560,940,033,178,464,359,519,839,063,249,956,791,148,348,375,973,452,506,672,979,315,228,369,911,936,046,883,815,701,845,956,799,886,388,241,371,151,216,404,981,880,022,240,874,306,471,822,626,199,973,114,085,902,346,000,193,488,826,966,684,444,761,759,952,232,314,998,615,757,558,282,791,251,734,241,114,829,982,586,647,227,191,693,149,430,280,436,613,907,243,595,680,878,956,848,513,310,794,610,517,181,027,846,223,020,918,485,825,386,293,491,924,516,152,474,712,764,800,896,708,218,194,335,037,304,857,983,943,090,793,820,599,840,018,106,034,188,905,587,313,081,844,117,914,500,785,255,243,054,178,905,496,604,005,496,784,170,729,662,864,496,808,523,346,658,306,259,008,712,435,493,803,544,760,216,259,047,951,293,775,620,881,074,214,188,779,145,792,583,484,643,812,637,797,659,917,011,712,447,127,852,389,806,472,275,235,689,380,366,504,162,289,781,391,771,476,650,648,090,130,655,584,514,115,651,430,856,067,179,210,542,332,680,674,365,197,204,549,890,700,899,696,897,753,436,011,559,135,329,203,659,090,876,523,122,834,990,989,091,160,536,356,866,341,891,417,384,880,324,054,317,148,921,283,422,837,084,702,228,040,844,356,718,838,294,638,125,853,458,210,816,717,648,883,526,835,035,211,848,543,816,002,432,406,337,272,105,260,291,760,328,209,818,637,919,742,406,347,261,003,211,654,906,856,941,112,263,787,665,218,940,752,772,036,885,876,283,316,209,796,530,023,388,874,460,008,429,946,964,998,622,886,018,971,939,817,374,823,867,834,198,086,236,056,729,694,363,863,143,220,263,956,660,892,329,454,099,534,902,651,932,088,050,265,268,341,178,669,494,529,209,474,667,743,702,122,265,616,912,495,046,754,822,499,528,650,063,871,834,430,992,079,210,715,859,282,082,089,418,095,696,282,604,053,714,800,405,017,685,002,653,575,385,735,895,331,210,673,046,960,895,762,326,197,614,071,979,982,212,543,405,338,642,959,925,866,121,201,389,608,750,756,016,212,710,748,991,005,184,305,092,709,185,870,691,985,013,124,261,176,094,343,646,712,690,733,532,100,450,232,138,754,173,030,813,320,827,956,045,419,014,457,477,562,670,319,020,489,494,369,163,392,877,742,043,730,274,301,852,304,400,733,945,359,564,250,890,591,986,565,637,081,307,963,492,368,403,333,778,265,041,937,155,203,339,218,411,019,707,181,116,575,110,052,073,668,601,403,979,756,978,293,083,231,437,897,416,649,010,525,670,377,597,882,356,863,206,092,768,652,333,359,848,882,177,547,538,997,620,989,059,518,737,906,543,921,726,464,696,379,218,241,166,463,741,432,201,986,166,484,765,407,532,843,573,320,111,455,398,566,576,053,045,751,537,636,634,659,107,150,739,401,254,399,888,727,494,280,938,314,086,976,355,674.320844894603575296
$ 225424959455639375516524024869114396278304705609351063488468004955269598832666014612361378984573739773188914225221132829937596826201846008490487171087556891828995657555531945828832721877892402749573595321153842544204597368249186949682052810959691920689258825151073036125527127701628722639927791727965852227934272714080142868868384588107579895149669254123011653008665823713248204908226873719108368217427184170930353906999296790211762707557481019817934110035161281162706224402697298549844464008878416752377938592587444890381699873748288444261339490197117805840773512794100497451541116290458070769825022790993080739742771556428067815960966565279005698062211366937063586689858935444594898020933066751408800425855257762729917452908046414139255869932741807768740238382253262973398645966812337527261166031457643761205685330484084661530851752348378848351149223328897114599351818505402235301263705182848788321017647872016153465325680231259485672554978982235631958887479701094000982245989941468631207291233347762054377902844285467890149784571139862032285717867066704494982550896919452973684494079411761941787587791719344720358021214515960591243475111720937248208818574946156860089684863746283081157813289565844710734452294327359712624271252997179715372148753076939287930779257750181342794516482699594740575350977061374444447852071066283292752993191422087119495120562375761693192849962300538017140987921665701926849782974694756864956325191163698533025142707941230296932054342835924735469923786732768945850389853636310540277062410111988631203746974497811908683235658737277268810169052252066653059015788358247006531048196754590411185556895716631145230310642743167174496309153814668353606430957862892947875254981920166093571765326390751361097804427017969849505079577678334860775150317647028041113680274635739111451588843548132161615049418283935632839523398712062630953315228408656401553675352220444361618428653102379550048871706146243170097888081882097775142382958112832149490752046039390477564893466648924912774053590377577109972294146088522440570625852196120555871304384567863664493904915567252233236517947126789986672995676195959372017637384027657726479449173422803366406279063176779876352070974334610356437994898415251343724231516185308538294636000986908117973611406441986885352408910858749530460861555853628330650469228320256365978416766728067241695727930729398914987088982294576186860335761155666022005701186078688602166088069832328334548894934627032599423231494221779771444194880414607858707400079649163284086846682473305608490237997401368895908575245992522932976614886107845262948549272550570701977024656942470160933215505550977138737116203681382566947047958795626708547903007712864107529605432388497139573572964156064633242393868465037216531598049456445169869392350794093070355216307715320010668956823798962548369734571171862105345635280658054357849218847866715622234155568992702834373196554504486191877685498400685011854617448088346920659778094337815792868326372323787581337871642071324090875328338762851004698604035794249395018801350446800489978495570969782525515775784241015472531806577650851832032245023412984462209748354730535368951539111697093489165159014117564288732791533781758635168058596287085388726855813868431781096694521405212246508030489919831683003450472226172078861708792583438788334947441627881575058172183321330864475215899310509023790674486842342040776140438198723038972125825811843072317710560217590299258289126801191046011101685990120948636400755229374287402331235895135160215476998374945032162803051234634934240385824409587788389708603098790403447269206893486014627877553928351612835852384357283972488398267422322847267629991321584020427079190766838110209167614634478802242067894570333633246891849414181011805427250079838030344229561307405973567319002702241804668070535200858918870763787518843445737227780273031165337872513950466439959559120988599432801899737861303668569520857023126778754513332665432344484084015474806171647085602854506986621241646156970272135030791369579165725761468245233208083317066344972511291841288243081806788106981140024426108422906819384952365007461511857553208411883655459640252918102374920160307535582695527601087382039415210186424999079531679713919618241475906605825608386825409741819071662484996158589863345240115713292527829245953026348257723955880751065290463717565552165446859558260638257437386308876465489908325953265993288080218982679663828871841371907749397220555433830584815783440674792422809139252703967463607557583273342759112554262555561146051526910244799438121896802776387098027594380793644939672783791694103351617040211557893931589309290669709554571421922919971418376962930747248347058652179036138657745353268377360295697186104709747636210978627289965257374671127543036078361109415317643331525980376079217915806273259880334656381226941709642748148204965606069981028913684472412488819086611988143290366532318418168460837526224763731529929424932162338684132929195847667118527203167232427386118675085170149064598430445603093839038815326981472991430323642665340109566029023103071851692722789084531625997073043176438148908657665807000190758749178327373220983423384285675502105550723371206307436265480812531331661415768109904367992327967017945591923177862081233243949588671464477213551762340073289318807721642227820895815933245860223961542025630448706261806021005152737104072344595375954323285876698645171208007857630992227515675904046347672064981224682019191767270821570354324565798453010554417564728444907507975892997749425376145237044728004301407451211166846276895892835910172744398118565852623878034883431498540533549100993830672234834129689309739649466348230625040360140065966777730657537177473914853863335200395516090974251034005919309126374098467959851156027960943067287742149871516349462547329079511118574465732082717686241548620002565173815945572686808223083825667264648157863961259230850539739357391110455878984425112795044594410630112971526491096674496307086785622102660124001398671270074956826286911901031734946480223571806991102818142432353401602480938701838096520868761138092148021758830662136312387373851954331469649701838424189212665774855599760622717236535035959147726080541866697787324141488225941389475314271327067551721638215139869745738189180239677146657804571336072869685621282634394235151444274319476609354038287547553593778404703687380936594061605833832684282775686390555395478487286440640772629041766368619755259759544610754650137341991938537504536919487244831811589651383956530938121641161017010155584663398488988053392634770138890556046234829851583725841874558780948321398439076066510054787176938424134546484974205418145878634483402011033571435186209764261587670232024340322496119282420392111883499575369519561337427786578910857518988173543792855893283640367373394070298850010536145300205563231234167030007295512462698387141504771046126430771632932169464017631007904521171842785521328669809994806530871059994169017988677451376889635651342233920335091053616609454520321048759240260019262831233455692222875023457468045718738808831237875084098001579019326047113218913669251350385105467228130643513058486644634287859302767851366572764657792087486346705821115952948041872563434623204473964356260014521631379128093753695252662048336949586931650782370817235768677632001022464045030494907428783905872339466312538075352097041168290429278501597396005516032892390894345442694302505576277789331680898992757146326975414730849780344902984565681782172171272412151175110906211444502520291968125778771372813971404699769341976909457911685700593343255089936309162074978250523799114593193375871186123894342964411353649191821637849559893817415302166978886177602979460893555379595186512360857646651312168511404310306346060297637497980007205126394222625179715117670585474629442514409355146253209675087626500236850770813023617694971817420554927008965988724061911878239264269597348944315344296972163082627995556502689755710011364851875237824659462695446366078338421892369854718067633330762340425001564782294382331358754326424496686338746464860543824485806122534313441516603404745022469957322202067900501856032703392510104743699783175651859659032505539962155577189569719075149384059374050521916972661028305099805359040514687584951360674983028491730577901740566024303287510918945312813809372496077156282765399530019668017246399907598831748928598412787333769071642765483111313526099330419424138023227931334133919391903453239409318220336250581292028667060289272019807684744704283322459052998925691158588946402240147556324694966301775660365736190234991953301797527875846788117623440029919561230435583421573293051377700892602176236279147557272423044194623143167827545794341506965182788589772169320838246865254280265083372292402140410301051681056984520057416042970857626693692624499991366776438143816655840012539171574731744119826874353217100157679440568360712266845540686448504643551309963285581619633256362068899496281411303664452085186889056865820393508447548147651772607191198961430025975733058107649242665890226981395092548510200690265185265436252633308305855147686371522971851716331586382398312767955425623359811114652845209674332972143603577466675114159552686619152545779314857830849784798244165095066145635644966547814740260403104980289484923630129218866001852649340441876122319420445684127267731250602273580148400584504155571873540108689071054399746101453391572044848652935869410451233190231567625382943220943272879358416114695895734277580687494315419183906964850495190926870248900149458646097795659129775307849665359695753340931500632597004417281065985059390063823752820997084649564978649939409359063966898371051932378482957382875685285570122172019306810978849482151244691171426168711850894282860461674278728043147579687624073563669017315160125345156555365725102127181007251501234042872101423365510949598456073342781438265402889988.36
