479,968,945,922,066,603,004,097,921,632,006,185,523,514,754,418,588,174,821,061,431,298,341,798,359,635,300,359,322,757,495,737,912,515,074,565,281,956,278,662,336,262,003,509,426,176,621,838,741,266,702,102,900,871,012,283,733,961,693,422,014,794,259,864,635,315,789,093,235,661,269,169,207,724,320,138,241,585,037,087,844,901,553,069,985,098,980,920,157,833,312,701,637,805,113,289,708,570,100,649,712,149,611,759,720,024,933,314,646,810,174,482,994,058,133,529,479,854,080,831,812,900,877,158,911,875,289,281,410,388,403,254,701,788,303,942,709,274,115,836,106,403,568,495,516,102,029,401,395,858,020,781,769,054,986,610,737,961,891,194,456,350,130,162,394,885,433,246,237,755,103,318,269,947,695,371,326,978,326,490,910,339,168,395,117,129,059,615,265,825,279,624,094,117,828,698,338,578,767,194,824,285,713,489,126,177,090,392,867,065,187,505,056,117,500,319,991,043,189,210,398,010,876,365,051,677,723,383,227,017,533,132,100,009,215,303,892,275,934,748,921,777,997,465,205,902,690,713,237,071,269,403,866,123,745,235,154,247,184,057,277,785,178,336,382,860,561,721,782,341,428,513,214,842,951,918,823,875,379,075,043,611,961,184,796,522,811,929,553,640,367,822,327,082,807,943,593,015,909,747,172,234,862,543,557,126,616,332,846,286,464,736,703,751,571,528,851,932,070,390,423,458,885,298,305,543,807,131,934,585,754,725,835,077,454,113,428,505,993,560,553,814,183,847,465,886,945,295,284,503,843,459,450,708,806,863,298,453,072,210,676,186,545,555,893,522,129,428,712,183,467,926,209,683,764,604,159,745,137,715,224,278,460,226,725,087,634,751,532,934,895,258,760,213,693,432,584,844,853,155,374,995,468,546,678,692,627,542,028,867,425,782,617,091,884,888,087,509,583,027,262,358,174,267,436,771,091,422,261,331,215,787,100,654,717,965,078,273,580,950,144,048,511,730,917,741,163,268,851,886,350,544,651,720,815,331,341,507,489,459,735,188,053,545,534,702,384,087,989,691,003,309,572,214,061,943,584,978,292,327,868,209,061,541,619,877,344,955,835,751,327,357,136,585,578,585,264,704,737,070,807,312,606,237,539,684,872,611,786,954,742,973,097,584,306,870,118,311,821,171,966,236,194,307,658,711,773,992,007,269,806,200,274,423,530,630,496,665,792,344,518,503,212,956,043,159,355,133,951,620,583,512,289,927,237,740,033,058,998,955,210,439,794,048,365,845,347,795,586,188,523,261,509,360,036,762,310,953,834,534,625,086,419,849,452,346,705,600,612,133,956,099,106,569,712,038,455,228,920,549,701,489,925,636,954,653,161,663,078,005,514,618,384,796,987,119,576,886,683,979,620,233,318,122,845,892,098,837,180,652,347,691,887,232,857,241,276,319,567,662,714,345,985,027,984,970,540,675,481,280,624,715,298,486,662,008,747,665,443,057,663,004,820,786,401,105,992,030,791,953,600,764,802,693,623,447,820,450,620,746,585,388,078,301,932,121,861,453,918,939,205,438,838,394,010,837,774,664,361,278,524,099,811,810,496,461,523,190,163,496,077,821,459,439,536,423,417,839,857,989,797,930,809,940,761,054,590,356,267,428,199,108,795,155,404,522,492,554,601,927,390,309,184,742,924,806,871,586,102,732,862,174,712,581,652,066,407,756,805,797,891,585,063,413,476,652,371,195,112,141,048,754,144,327,351,602,687,534,586,327,115,421,403,444,736,556,971,135,773,888,009,983,759,956,984,046,067,961,420,119,840,079,895,449,441,760,659,641,005,692,167,653,164,040,264,047,564,680,001,613,744,261,925,342,559,443,118,640,886,151,405,323,055,153,348,605,095,127,330,387,788,706,915,628,922,859,437,610,606,444,578,544,197,446,673,607,042,064,014,969,731,362,699,097,863,880,809,850,501,952,862,884,056,529,759,043,699,554,775,669,240,944,222,066,872,668,121,967,313,281,363,374,746,093,261,812,366,200,056,696,440,159,445,697,924,837,674,423,426,281,520,382,933,130,030,917,289,600,772,329,088,843,206,380,663,702,097,662,226,824,330,974,430,301,662,159,699,675,492,701,096,382,334,426,132,768,433,402,703,535,821,678,051,410,929,469,110,054,552,527,543,122,830,410,808,788,937,001,719,211,675,323,639,795,251,121,109,628,805,291,567,387,824,373,755,269,289,085,374,261,836,069,060,662,551,023,400,268,412,658,391,391,970,140,789,073,432,525,139,270,186,667,275,812,963,380,926,783,347,891,461,709,314,347,652,060,398,538,573,734,184,893,028,583,051,450,409,353,479,011,801,376,503,555,109,502,309,423,102,571,056,169,665,846,811,574,080,829,540,936,752,599,560,887,728,029,745,019,187,152,181,009,052,349,277,760,714,797,943,243,244,128,309,699,531,750,141,724,473,163,356,704,251,520,423,612,051,374,674,198,153,614,809,092,524,971,717,076,421,198,390,544,352,664,487,502,702,781,500,413,392,384,671,906,115,516,483,235,063,945,388,245,993,617,888,627,430,977,808,681,651,732,010,963,846,592,115,268,418,947,647,408,574,650,828,734,835,902,819,564,529,316,394,678,874,179,736,677,443,812,848,522,504,441,536,736,990,240,459,756,692,130,497,954,977,907,383,795,093,729,512,731,538,423,217,914,991,792,637,222,920,674,087,627,510,121,336,017,741,895,786,146,402,572,905,597,808,719,575,266,107,094,400,236,223,068,150,930,323,031,007,049,640,588,832,437,725,263,559,104,460,853,483,583,059,792,399,993,718,499,378,789,149,182,312,145,309,680,311,088,248,070,511,596,810,269,013,880,453,254,614,627,315,265,721,491,387,611,276,645,274,374,983,993,279,580,339,347,444,153,716,014,102,818,678,588,076,185,094,184,806,976,809,720,864,138,544,643,493,084,527,588,198,278,783,935,037,852,655,945,655,006,913,225,392,206,256,507,518,149,547,365,883,063,979,614,856,686,715,880,731,405,666,870,436,490,713,317,550,595,909,980,210,092,963,686,948,749,894,576,022,393,735,283,925,715,421,760,953,636,103,924,614,575,383,590,673,539,434,895,141,969,042,374,953,954,153,677,662,375,685,624,500,864,227,074,500,322,263,622,917,860,362,282,089,606,223,565,435,734,297,943,088,760,385,271,207,488,220,280,959,390,857,640,560,256,211,834,760,333,685,619,080,762,180,412,169,732,663,837,725,136,089,207,266,178,676,890,398,701,732,975,758,843,039,103,432,399,478,215,981,636,370,940,924,011,568,588,106,251,519,907,709,300,554,532,980,008,121,818,927,715,946,271,752,071,832,439,884,785,748,271,579,409,285,983,523,946,162,957,180,428,382,845,575,814,866,539,467,275,799,938,525,023,849,279,385,210,165,159,667,263,162,977,459,501,460,567,824,825,041,915,822,474,499,701,220,108,135,358,665,151,579,361,759,677,570,627,874,467,297,844,753,665,464,114,143,307,707,468,095,853,459,576,076,466,908,016,184,744,158,738,964,133,360,227,972,478,567,934,512,558,205,602,655,102,400,867,388,547,890,176,120,063,096,256,170,013,421,388,027,794,936,879,561,146,058,252,897,500,102,444,225,454,637,145,005,114,734,065,962,621,128,812,773,010,842,187,709,873,133,461,759,216,829,697,773,241,036,968,303,099,235,896,655,496,374,796,736,475,959,421,738,234,775,306,989,642,119,186,482,600,357,528,264,649,359,319,253,445,579,364,896,187,511,079,760,394,899,647,858,240,418,257,030,630,009,424,074,037,350,148,194,227,408,961,002,887,424,546,125,072,722,304,179,585,097,907,765,110,190,901,244,481,397,182,722,881,488,155,032,154,641,223,441,533,678,242,191,624,732,587,373,795,273,793,418,635,896,186,080,005,065,350,147,379,982,625,481,950,411,736,672,651,589,281,448,316,416,649,987,644,912,197,471,352,011,115,959,084,733,448,932,108,850,919,210,452,192,195,296,569,649,568,572,180,672,544,579,127,523,821,079,854,349,351,189,425,405,536,781,687,549,232,996,988,357,722,441,481,688,199,644,008,637,154,232,177,113,925,573,194,180,840,374,628,618,944,058,622,058,350,666,435,219,926,931,422,593,713,359,858,912,123,263,944,633,508,668,373,689,607,585,468,739,553,938,122,668,257,208,654,312,802,269,200,001,912,462,820,660,518,551,083,411,148,720,374,513,465,492,040,142,843,510,985,144,258,008,168,104,715,935,919,737,885,162,559,505,562,649,641,432,647,043,192,733,099,286,767,345,649,040,378,038,995,811,934,925,421,024,646,313,443,681,975,150,469,195,801,993,951,137,224,955,503,051,312,187,200,044,360,566,461,766,716,767,363,541,614,183,323,301,301,876,863,782,252,361,962,410,720,005,497,464,771,527,185,038,798,598,571,009,350,665,042,347,983,912,500,410,586,191,409,395,112,985,808,151,422,285,183,614,173,846,795,898,121,439,420,174,157,436,116,564,081,416,842,360,500,916,265,214,090,115,058,270,085,116,935,608,006,054,235,136,066,465,947,724,752,047,266,426,290,825,990,718,994,313,037,639,951,149,766,614,107,021,082,262,212,738,625,168,258,740,627,454,462,305,706,218,994,121,178,916,036,455,193,103,331,426,420,000,325,321,242,929,365,992,132,790,395,056,765,567,557,827,186,929,503,696,120,738,163,901,160,988,818,561,217,814,328,672,453,740,036,526,800,584,185,328,736,010,285,825,877,154,876,263,848,459,204,628,133,993,981,077,281,739,092,684,780,645,960,726,735,151,966,684,386,136,512,279,315,475,840,539,783,231,024,820,199,137,346,452,634,450,467,652,638,587,985,077,390,520,942,534,042,038,237,427,479,585,208,150,491,502,857,995,020,952,526,634,848,256,098,324,844,214,761,672,754,767,696,917,666,651,168,827,802,385,598,848,969,325,126,001,012,165,877,794,590,389,145,638,088,285,987,352,255,727,936,082,054,471,133,504,704,410,317,066,867,205,722,948,264,522,396,444,483,466,181,356,744,634,842,597,100,751,315,138,088,870,462,000,206,151,069,811,488,465,130,077,399,571,447,629,808,648,769,590,804,240,151,341,774,998,836,825,727,678,613,052,351,622,953,314,675,520,492,689,143,819,466,280,879,358,186,652,812,325,505,786,862,524,159,549,599,084,558,246,683,606,768,485,946,455,202,177,993,227,768,982,746,997,380,385,951,820,070,111,049,223,334,684,991,303,086,516,188,121,995,306,709,581,525,369,211,441,390,921,298,343,140,409,974,017,646,577,252,284,743,048,803,680,726,174,475,314,514,569,946,513,239,113,747,707,269,150,541,889,601,279,757,074,844,777,454,288,144,011,927,633,633,799,817,197,355,832,482,077,082,984,834,625,434,063,542,043,867,424,768,630,632,839,411,231,858,059,561,255,798,269,858,711,278,376,854,507,625,322,837,221,440,855,674,621,980,412,445,101,508,098,145,850,916,749,810,949,046,366,522,910,196,113,033,612,035,567,086,564,050,747,950,465,889,305,983,372,369,957,094,145,018,898,971,664,101,783,877,065,589,081,613,473,498,933,027,022,394,675,857,577,539,107,424,172,143,039,429,627,549,844,061,131,513,578,060,110,264,828,676,266,020,353,954,334,227,162,964,881,900,199,977,319,323,673,031,310,360,712,211,416,820,113,572,904,324,320,065,775,212,441,908,496,405,858,884,304,536,249,422,791,294,716,578,949,433,500,702,997,454,633,993,098,518,857,366,433,029,939,745,789,561,383,365,658,372,459,183,819,749,032,801,374,754,583,178,791,070,670,176,927,383,449,475,000,275,664,368,415,454,548,532,703,697,838,590,569,729,066,183,016,879,704,384,874,524,399,649,846,192,658,256,862,532,233,659,938,580,684,243,431,252,358,296,638,664,273,893,599,670,291,569,409,904,307,347,181,181,695,297,811,378,996,413,732,763,167,022,669,451,823,326,392,003,357,342,484,747,589,205,009,143,454,112,120,585,823,335,718,685,134,113,210,399,544,767,939,007,889,195,598,638,482,819,646,671,656,452,333,640,137,665,508,423,568,304,324,970,538,123,779,319,088,271,823,953,426,559,268,383,604,285,507,446,721,294,911,219,079,924,448,101,252,317,180,181,028,383,719,286,653,743,340,880,169,560,297,913,939,031,095,234,055,677,919,394,834,854,573,230,615,852,636,988,900,728,698,392,770,699,686,539,956,617,291,424,086,319,489,698,960,347,971,527,570,159,627,248,217,705,438,851,300,613,620,487,524,356,882,010,904,946,364,696,813,624,428,954,543,685,607,271,590,402,201,558,606,902,568,959,804,761,497,778,088,452,903,390,652,995,769,452,110,515,489,157,223,634,462,279,813,190,033,947,505,683,534,424,692,571,302,104,173,238,659,454,781,105,382,657,788,537,023,002,348,971,351,210,628,907,139,243,572,918,361,365,081,197,614,132,093,666,955,130,659,878,608,995,475,632,846,641,441,798,364,405,176,895,585,061,077,405,294,986,529,121,475,828,364,285,481,434,932,913,365,704,643,156,430,625,283,073,887,508,686,529,551,181,559,026,139,462,837,226,727,269,447,993,975,291,694,704,353,061,178,804,590,210,473,123,750,416,622,978,384,225,219,490,193,831,868,891,580,909,326,671,381,304,210,930,662,360,635,813,654,527,155,653,261,220,745,910,558,384,334,183,196,418,503,175,871,011,907,111,978,647,430,648,654,718,148,745,080,718,480,284,693,206,339,996,638,529,531,624,464,457,343,163,410,658,356,461,920,393,997,045,899,459,943,990,937,366,653,990,374,023,551,328,504,591,473,217,086,084,421,851,851,614,272,698,044,140,850,550,174,441,468,437,520,966,488,321,544,131,432,268,745,899,731,912,284,442,059,705,052,965,404,038,331,847,608,271,975,055,336,976,769,516,280,158,385,892,748,721,109,802,777,620,812,464,283,856,023,621,407,986,674,040,309,327,371,675,418,661,580,898,086,033,133,921,976,925,759,811,178,375,374,946,035,478,292,891,368,603,588,201,370,569,743,189,319,638,227,092,374,286,051,692,159,045,823,461,397,868,359,338,193,629,276,354,988,725,965,737,118,123,968,688,603,057,038,076,042,349,898,915,610,512,768,428,301,934,771,935,594,953,157,517,583,063,889,562,070,666,154,951,652,830,345,974,902,583,332,471,891,055,224,359,881,080,467,229,302,523,860,516,859,922,427,686,554,952,902,891,531,257,298,761,755,948,311,191,590,062,873,304,122,393,385,521,477,275,270,541,291,081,477,822,356,752,201,229,103,871,902,835,260,951,221,057.7913496788271104
$ 4846091976213337326455146294079158904961283772374151100932810378710373620263541035072136149013490303532861910228297360074454258915075170399248444646312361223757846663671647051999477751485175375853581230724634458105791986895665571172427524634476407578707777251992314221610567982234744601168189424394529319564803088255811765204903418944307603994231224202404335609814281414265556497410971534144004270419685964251302410710687795424278841545592528692928939930609355897494345034388016102808905368094844043776436910539866935389164008739773611745128730299738582622722052158875041985667752906583367922331776452276813430141547248559442980422550099152476531397951041698061519856281526611341863424907455528341154456194695275163232844428211863994621547384757520647561069733828286359897965526805569837482766244897267459345453734600782847536437698370148713789577742928834867603504167709371529927324788617521382599153845930149497268966285072398133028736704238703789524851267782659776552762237004164212536564548156653906577733709859558516973825365980171025302217369559972893263691559981828752492615225010829582819671735349644918334001909157658206303194316199062480762942590595254619354858935815493710478086915847672549799703941740366208787034697582898027174119417298071329507302516260270370957903774856976127072484106930616913491705846781267219443208971361343010790744246141747788807430641914685895429015610848131129961347397608507274148987628426930648885040570400979073189823386924251366862282093756996325582529941392390985606202831952489252702818424103709041999446867147887055286461009933399359087938633110670803553823150009111261849504346537841802315766436325137098305017076366314153251442221663065090039549549019416704570437412608315336236993244360671198390096472634481777045867810886439073703941000566350762636650100717570118377488150620976787414139805224691958967495953145553923909593865509452891350837292481145332390668611968559068583372766946479259142783647899325583357958170490830050444758183202503354738390119762565343905760962190173673547601512208498479860706072498384397033353928345622934296175799519759521499590347660207416518268338239685117938106356936218117153601091385625948371977519190110807524449143108295817866483884640464371503885966698082195018848651332937967286868545103757136343024903157547878126682041278895111303134778080664290769100874576270294701772374872788636524762742039762149922589669744857850375500196347116982843591945445597093056291363737662991047053539387672650682933649088763273046994343287784847000200625248350704215958645439979710430960215549281479762256085859255300268196473635872833111396962274592236452120339431484538501129834433666257076230280778923502714947911730958592013019452005833444754006090466822328686288181750606505233969247171133705317348512994165736952103037875428320604218992696746106344066251839745386300619898257156066201855036777395456716173924011821719222319308919927549839865335789767246846260887202399953447057632083763836525096448805666872824510716153646300093318794409724273194224499090814293583410924418167751432625803392387222514222248808017488632498813491872843110506085016074581816629187281687721662934112367380858722567104289189251420993216418126359647730193895174227197856352588001233042379403160367813049623311754324276722880464508852079124509798419860935214124923020174830895645758774416500785228076305464929347429042936967652962141281257167667776010161545271316214773498523034528752282765762490749196006484256717020224662875155897691383583571730021366842408933618426211495925950671437690227128317924435711087184011444763687102177531304084230622538504497276888419804585941948574660791459779924230477707796710537077963874492132257258036512140473703103785164515323381829120758170873600704944135830863727120746667848339377675947119786516661553360887256587137375499691122909547696242180767186795535682441141818070348584493342746435716362571810021209958022308839015696452594239575180257604180081863302534458029053936373903009123183860071366170015967877251730472831654094817006279137566869366152218768880742460630304179771074885485345494837230653691460431728465050366495772041628411364212683490883224513010504609170449479299060241628544094368452896464066244254111117279195378088104777849608263009272401959029256315871079208275652206757292330961201139841703343789482434131660232189110526713183292066491120662294850317368506489281661709440426060728768040601821154041316096984704470001298353802865674977468250242328560859665823870900457755097806026360871793293690625838336448755396743495626232327626409224381603052610171393156487379588704661501535574487078053320776327061728800311530194019844560134231115566736595835059610591085722300413299164447914370550382158689218112378763391705617250099307980164629422692733495358548803494752149195656708483355470303817616997469697018645493611990794721835271783364449573998018722066376041415842834982630103944477821283793275712163652489620504374363615757399694742675589236473518152610657435981003128758720312642650797138977408259367986656637170742003244720884732173495625623788392959758674304050519603787469714570170302413343877939292135069979927633191381016101256316616385341134034806507079599573853090215894322045042154600523552292762871045396229567765563154291812327733586033747446428299765913553860758022611453683468546829377216713319463330679852081198341458355685504556386679241466025793644875205435365833352038758008255155906970928197949850007853293700758880144633693528162709526368495408766576557220499586516453545556924888226874052161176212713631251849899750742776008954025071492077394297283749258166396404573268209764736991670524613931472286961523588367161347501312415381555393195442900997660085453800821539013631347299419974909366824860007658353752949403141224676904275666199855858886437442684819300020373925062450715565311375052278860212408484597248378432115803193084122819613168281763741774331944478494003875383994679085040883837646902186592712477187474460725150250370481390429959671900080454331948007516926940364816674011111889893666974710056496233964697327718030802994362717039769018218707900841002549056543871301424810622670090909143706201640814043310658897972038682993808887341488278793637477467233319141314261675047567397191687775908897653648752940410459458124618564838980409146430297687755494774815403075507789299417969443059201747483457044492323459084850845538403690104935135639135235850482131711755777021196291067259718323577118001969612069877194921160735721539684460349178613163188083043260408208883474069868500132762546674925790018780968215410382636367417230290580475194899003578195703621132516047011645616107496751192370614941025895162969550665049904239133757400709210846674596047611454706985829602227499191788920089984297258985506904001457268894792832044212569061118429235808890328877955427626734400898670698568894812483382982920988960937509834294855282107770443127882012618172270296468683098818186666550628150394829565425751222948465994867882187256084504745876480431564773365648746731329493917855879988245642910034753337071824553480196003066359651712229780504495800176593421003097629752928113970176119357812185923888124228660969566186208154117491254002918231638306550131907459237346221772088853081179163263933599975535093672202681510064526258628958480081203096495198250168353721161394609554090628848979542766028992865626918258902923926552208587341203456006102961680583620334759128258685445537563904652139372361298029236437325677381712304455631579207890434171736905334672284313606705924883767589844559852666937699807334583019937357941760731848072896461956675410961849756946237708249793781936365718190048434572632497898120187895391198988730621518200085810650964004794033894770294238109551976971978150513915268555393565681957445096384726784490933267210455326859954205256335352349629123207577443038212005577969243297910113739914099819898440283578109585030526793821281961717787680789027289867010659586799478764384801380343134816258423764611476989145399268015471143054462893711537784232893475501844917557378299631355106920299033648371591203526363376991165773990505107021514295669393632913171998493920762606325519258272398176244403749288479940189593665677182719269325508595924684259588468281474511517956058830821214940829931870624165696844733623057872011968465001877785610070544277341231910389502145103892397972526915060303299922267891279403550103028435148869395595808285237334052269278300549933805866223870903249701759917520827122702093634580703473071990153182918083925556247519211489862806302825769264818742732272929958261802293599267251851933943481890203349072191739843777226370602479191902128025326004844827175297215125376386578191712509027890488005438675570254061976950598312191826550445660625857362767536789146457323625994174277329041247398386679790191645208214023718652335389591176531298492672647443214785227647368321916411992018431023515494617569591578740152835184729409275128754249936844166517021905271719563011068535060972258724032035530682561671229544515337022949461875245803835577904161393645455107259490433022880587714624833661917303346741392510328014566838772072445138957036825594111623946970085545343601106114664270219656929890228408537956276304129324145731544541142281897106659544042891695414136611058767591193108461529166398312972958830565260087712565985242315287165549501779482837205395027219863232593689457428560147681381099550417189882414532830421706766192854309854484363044386822681670230093020761646982933729979893416853528722971349513389022299238197996293203514382599024866176822124774311487577429853050547943195432546334329304479400508529665543566612163386798158600437115598997770117233301261909683944805958053145047935037158143147096843330238331670283654361960084577400681849172554517210852489946254621725288236977818113861539651361793552695167484780738221801659987.00
