101,945,978,267,365,722,833,383,864,659,658,152,946,873,050,994,305,692,632,053,351,967,028,387,636,593,597,433,181,356,697,656,574,765,969,299,243,895,130,180,732,486,139,471,845,124,413,050,535,426,618,295,592,842,209,518,421,260,121,138,020,767,467,924,512,791,871,228,360,725,244,527,904,410,707,287,394,199,142,265,570,055,014,327,705,340,032,105,586,092,504,052,567,289,390,291,767,420,784,744,723,169,231,914,816,753,936,030,902,936,803,809,711,728,684,228,581,358,304,908,518,859,601,929,319,473,590,061,811,180,562,044,817,375,157,965,752,231,206,871,828,993,898,050,242,702,714,999,702,695,566,194,590,923,140,335,331,114,895,839,298,508,096,006,409,778,580,888,099,344,847,531,230,263,794,883,738,792,104,651,517,284,953,350,979,395,720,914,353,622,399,605,662,696,919,493,969,204,957,255,502,222,570,260,101,554,080,093,901,121,716,671,629,746,216,540,262,059,096,936,075,629,712,547,237,008,977,605,887,943,586,791,710,643,190,845,033,255,349,613,270,392,449,330,573,019,700,886,256,095,596,435,984,583,366,415,896,898,105,184,013,768,939,698,473,359,417,405,926,914,590,701,514,283,712,940,806,386,680,415,776,723,454,053,375,546,746,451,098,218,592,390,642,341,710,006,826,685,209,753,109,885,406,436,167,421,721,683,823,659,337,582,137,246,659,633,183,674,727,668,779,285,168,499,808,883,091,410,022,130,684,400,495,294,163,623,387,025,690,457,335,393,104,781,281,600,100,549,587,558,227,270,617,327,653,303,527,884,522,257,212,097,520,010,745,399,504,485,707,256,085,959,741,945,219,051,769,407,710,059,709,749,531,261,885,895,602,509,279,679,934,022,239,197,792,078,398,573,125,925,901,973,440,579,530,523,614,839,810,254,172,414,632,233,053,881,543,013,614,894,362,980,778,237,375,696,162,722,831,225,095,858,101,530,996,710,267,460,818,537,192,083,962,013,073,053,973,657,131,807,935,135,447,725,102,055,191,332,622,065,268,466,929,734,678,242,719,189,874,180,829,850,287,156,391,112,659,167,651,907,635,160,820,260,669,021,660,221,801,313,292,302,323,357,945,112,322,064,123,928,129,250,383,341,620,358,849,908,543,570,169,768,001,066,963,096,946,268,873,274,954,476,393,428,544,578,380,383,478,144,143,846,147,338,274,896,506,897,263,057,400,023,331,944,992,416,009,238,366,664,328,091,909,351,916,416,853,914,614,171,186,137,565,918,466,636,719,518,706,165,001,695,104,810,848,510,636,634,871,442,207,061,351,004,372,057,029,299,362,826,369,168,152,916,889,935,524,711,375,841,066,443,726,734,509,823,299,707,848,100,214,160,842,791,603,556,799,170,632,083,262,234,878,081,869,553,070,289,894,207,587,669,041,809,307,660,143,437,441,044,943,694,841,367,869,020,954,236,976,522,883,252,867,563,482,263,362,412,016,872,905,343,422,612,493,880,458,050,286,007,498,127,688,198,469,301,036,085,929,370,686,602,635,327,969,629,991,563,272,288,607,904,260,032,496,360,840,383,642,772,446,512,553,451,452,321,856,260,777,984,469,248,420,332,236,247,445,517,944,780,514,614,297,091,958,816,829,492,968,245,793,731,627,493,588,719,288,736,967,570,765,941,368,432,684,203,903,389,972,410,667,549,110,036,750,122,174,157,004,360,492,377,605,253,498,915,493,679,716,115,836,076,404,998,058,361,281,993,886,230,154,806,782,221,833,547,343,355,075,975,305,159,090,650,716,811,881,988,719,531,765,444,230,016,568,854,604,697,766,827,466,316,835,894,391,695,721,895,478,432,190,131,983,847,831,763,877,634,840,660,851,016,978,226,329,160,346,454,293,939,008,177,847,026,626,260,357,961,695,861,611,788,104,917,230,044,451,601,159,217,615,323,183,942,375,945,243,339,274,238,926,619,269,472,288,418,919,463,248,195,881,908,234,712,818,425,526,346,941,174,665,356,676,145,976,089,683,677,061,307,301,722,815,239,794,028,245,414,873,902,699,577,678,434,395,188,279,511,204,994,866,990,002,595,920,513,114,051,374,685,022,870,365,655,590,479,301,506,955,223,203,764,026,559,437,495,505,801,967,358,259,503,222,045,388,826,159,509,026,407,001,170,315,146,944,896,574,584,444,250,797,033,503,995,855,189,241,624,033,312,106,469,302,433,453,531,755,799,711,360,621,820,196,987,371,767,346,539,864,760,296,422,913,942,783,862,168,263,102,775,286,175,462,495,946,671,812,033,337,455,642,136,406,903,954,334,364,534,470,865,597,146,624,505,258,672,756,229,134,673,510,040,562,506,860,422,194,807,348,608,398,005,043,202,616,633,048,644,086,130,469,949,949,669,491,036,480,541,244,760,077,341,773,078,862,259,388,317,774,358,563,153,622,689,984,165,934,110,895,328,083,809,879,835,392,957,297,664,000,247,240,014,280,566,592,004,631,117,410,408,252,147,864,446,650,749,215,131,333,131,569,540,694,997,907,996,461,149,912,046,999,318,644,901,221,664,003,902,167,617,330,620,418,448,453,111,483,389,688,915,220,475,459,786,879,824,443,014,464,703,279,223,483,873,744,413,519,151,913,648,084,008,128,664,219,071,705,109,301,000,947,605,858,800,946,352,609,272,662,559,515,394,268,892,189,379,551,901,929,346,329,885,512,546,804,160,109,152,662,823,717,960,564,594,592,069,302,736,754,146,494,457,527,672,512,231,879,908,488,910,375,035,810,840,953,808,967,175,566,072,885,432,564,143,864,495,164,574,518,862,417,524,943,511,029,389,302,989,921,729,805,914,703,349,453,361,111,267,644,290,269,784,334,632,127,507,571,251,983,175,365,138,651,391,728,412,605,416,381,634,174,821,584,910,215,125,893,970,017,008,874,980,729,895,152,265,749,553,319,160,303,901,418,082,366,487,358,391,667,609,666,503,648,396,647,030,011,939,496,428,849,365,408,626,346,331,936,842,848,000,837,676,744,907,767,713,935,222,193,706,645,061,137,648,032,095,639,804,052,511,505,932,420,421,904,634,484,978,481,770,422,793,608,315,351,747,363,087,084,441,138,457,775,213,729,105,503,915,075,229,945,434,027,821,660,208,161,706,118,291,303,318,861,514,728,267,916,697,269,489,711,952,378,674,782,793,210,801,811,701,178,126,432,043,238,906,203,689,914,335,945,973,308,654,360,803,692,693,773,950,158,486,643,627,699,429,139,977,449,150,693,350,768,809,370,101,675,289,962,498,740,431,738,617,659,725,887,451,633,792,266,661,691,417,709,468,405,950,812,823,217,205,362,650,891,673,917,766,837,225,206,382,767,065,427,898,029,714,630,590,913,987,647,737,395,872,745,307,522,712,634,016,440,267,174,304,200,614,096,934,259,412,566,210,762,415,416,260,395,813,189,914,031,419,282,705,525,052,364,813,746,495,611,417,872,837,101,308,756,387,878,020,738,447,256,159,203,927,873,207,700,099,023,619,024,631,687,414,601,549,867,002,806,464,197,107,169,005,404,979,736,611,567,954,475,733,576,388,684,775,563,925,315,083,185,793,991,905,356,285,061,812,769,447,861,700,291,644,889,254,549,582,359,434,895,444,380,817,113,483,313,933,730,198,713,329,635,698,397,873,223,059,121,675,772,636,876,188,061,437,519,619,764,674,934,027,330,716,563,282,303,470,601,963,900,118,587,141,577,893,308,982,464,253,472,955,923,662,080,209,918,019,023,043,767,494,088,897,103,231,940,712,052,580,719,561,050,805,930,700,210,922,639,335,318,388,976,193,541,293,955,770,981,842,816,292,159,236,592,652,108,893,430,518,085,804,374,165,879,047,479,075,472,986,379,594,068,479,629,307,178,392,950,557,461,307,093,363,732,753,564,065,048,570,259,857,285,329,841,477,541,961,981,391,953,165,587,280,585,891,340,549,286,011,093,591,707,127,187,085,036,575,893,486,547,195,859,310,554,987,445,549,190,423,941,917,461,129,269,414,829,019,369,191,037,277,327,819,876,838,380,682,981,788,753,040,281,370,849,284,939,785,327,887,545,486,677,664,539,891,796,800,751,474,912,846,749,249,374,202,996,557,238,265,449,223,159,779,211,334,284,765,606,463,891,335,889,473,768,363,416,192,623,279,779,638,028,994,255,417,605,405,560,182,942,965,777,818,480,686,016,811,605,140,521,079,665,370,739,573,415,910,664,276,224,579,001,366,651,814,710,788,921,014,241,855,990,380,902,199,588,699,908,430,080,965,545,374,367,429,609,509,375,370,358,797,015,656,146,449,993,593,271,451,314,397,647,057,600,140,251,373,426,290,952,960,910,374,766,416,176,633,557,652,398,187,585,716,422,391,762,664,361,990,894,356,977,702,385,828,492,017,246,176,572,434,746,939,626,338,975,642,219,195,046,633,557,548,277,940,605,455,215,783,647,614,315,004,664,043,149,941,608,744,930,054,789,831,246,833,831,543,507,963,216,608,267,173,255,020,818,613,407,302,834,181,681,409,589,030,409,395,634,199,337,749,481,343,682,222,878,080,400,551,731,312,306,437,906,778,647,241,991,820,668,220,982,684,824,578,580,680,044,298,892,900,707,671,442,988,900,310,456,533,190,680,924,895,992,964,738,075,147,378,370,808,834,877,605,213,946,780,953,566,182,849,417,942,800,568,233,803,409,000,624,580,356,660,152,727,242,749,015,898,104,365,322,039,343,975,696,513,922,042,677,125,863,013,898,706,541,638,906,021,076,248,760,559,977,440,826,026,094,668,186,416,468,128,731,619,219,258,772,669,082,245,157,044,311,566,436,833,018,832,711,771,293,497,237,873,658,589,299,726,356,104,332,155,395,950,434,529,632,696,492,551,963,944,437,322,970,956,745,159,563,957,046,336,269,883,595,533,321,897,976,834,513,047,257,866,707,066,151,401,775,765,120,057,088,073,106,910,085,257,200,606,350,956,943,853,588,754,460,476,671,725,532,053,789,685,061,860,237,846,971,853,613,615,584,131,300,225,993,370,163,277,060,790,201,640,618,758,403,711,185,871,780,726,532,589,090,930,483,959,286,720,222,122,464,084,145,227,831,533,122,706,302,511,666,789,205,926,655,904,298,035,255,690,020,244,689,798,423,614,022,179,089,120,040,638,764,605,708,505,216,858,679,741,638,537,218,863,484,550,085,183,769,407,596,242,778,879,890,630,458,892,360,318,146,530,712,372,143,759,655,872,611,200,366,289,929,487,047,518,143,154,907,761,808,526,662,373,300,823,892,961,584,088,905,492,846,348,977,552,114,201,026,479,938,452,746,604,954,205,120,030,235,311,050,710,497,819,677,215,477,841,232,563,012,923,267,773,242,717,725,656,168,954,167,230,376,907,787,794,798,453,808,000,177,049,661,060,279,456,883,118,740,651,611,471,842,230,982,109,880,577,355,124,732,415,640,488,834,457,481,642,165,620,163,522,545,387,723,329,688,313,044,121,201,323,958,010,607,073,344,847,536,111,703,833,146,757,383,727,926,904,287,987,660,770,929,160,210,584,028,700,262,040,548,101,638,381,246,572,099,812,328,572,102,299,427,278,484,112,966,297,242,031,166,678,570,034,617,702,940,137,838,819,819,620,925,434,271,523,364,502,814,123,050,043,406,663,679,558,352,826,766,697,273,559,523,848,722,755,677,071,575,644,627,758,763,145,419,370,982,018,963,141,230,670,522,534,603,750,040,004,729,814,360,249,062,806,060,030,693,921,318,003,599,223,790,023,917,258,942,875,766,584,085,406,742,829,463,813,183,013,634,528,583,729,023,751,433,311,718,342,119,015,536,758,331,487,453,851,402,390,784,902,795,837,415,188,303,410,125,366,274,791,187,326,070,740,632,192,384,171,404,752,678,846,376,337,120,509,227,616,747,397,968,978,378,208,963,460,934,448,965,573,673,687,168,446,939,092,679,471,303,360,074,620,149,088,780,030,699,090,456,384,965,234,446,774,026,373,098,094,463,385,443,784,257,688,633,777,649,812,070,286,129,538,212,971,759,119,929,055,174,865,658,307,560,348,047,874,411,453,140,174,218,419,164,322,412,858,153,186,187,456,942,440,988,196,394,010,103,773,334,791,857,166,945,277,887,188,909,097,347,442,012,519,157,271,795,439,397,493,410,465,854,448,135,168,115,547,615,725,472,284,393,965,498,003,692,843,627,905,598,682,448,853,470,996,141,207,431,261,077,339,148,895,049,549,322,972,352,475,735,083,063,561,445,089,566,464,656,806,129,476,757,834,876,977,183,404,829,778,181,276,237,799,049,819,577,397,781,740,955,532,454,520,093,822,631,143,655,388,723,674,684,175,101,255,736,480,914,081,307,367,841,401,044,112,504,006,996,550,987,240,770,828,269,873,783,574,846,389,214,818,679,629,195,613,360,181,742,159,366,709,557,109,147,721,825,679,830,317,091,074,499,273,223,557,293,441,616,640,641,361,479,356,614,567,071,615,279,885,679,897,780,643,109,320,629,580,967,164,924,575,757,658,997,320,768,980,373,934,733,839,103,319,284,545,768,244,186,878,337,381,107,337,330,501,462,472,568,591,168,578,274,018,432,835,335,555,767,306,010,273,020,845,985,694,394,290,809,286,731,669,758,983,866,168,026,199,176,139,597,923,213,703,159,636,079,321,481,001,533,654,127,203,733,533,311,407,800,857,301,534,946,794,311,934,775,442,279,518,694,406,869,641,892,380,137,071,318,333,867,193,251,364,242,295,516,076,642,137,027,320,623,083,200,925,343,907,460,999,597,440,482,118,000,047,932,146,160,532,651,532,330,917,331,815,521,579,804,975,726,324,954,601,759,082,641,057,856,736,126,828,022,729,425,311,138,503,299,948,750,850,806,798,448,247,504,360,160,606,794,522,647,548,269,093,779,272,886,697,846,811,756,878,009,150,866,143,050,612,979,202,701,428,548,742,072,835,757,953,444,669,148,104,313,078,574,489,382,571,336,874,839,378,971,846,054,980,588,663,295,713,448,113,046,473,015,342,081,703,055,014,345,492,906,258,189,269,351,971,950,600,027,987,119,615,026,512,197,013,543,408,964,907,281,798,553,058,117,231,855,545,163,935,203,331,581,474,273,073,320,080,867,672,515,420,495,956,558,479,578,958,412,710,580,120,813,302,175,091,487,030,479,658,224,852,009,365,359,477,990,136,565,243,137,655,388,657,944,272,448,748,868,721,969,072,923,117,182,746,642,202,788,991,927,573,702,313,114,271,463,668,483,006,075,875,132,965,169,700,230,873,136,261,627,796,512,313,869,159,815,964,988,950,444,196.143108052133871616
$ 305724463363004105183323637761537411596660693169404876499918985000421895659001092130671414829675748784363000477260132956827540485474906991575933376726361520397018872987194362684024660497376547620101348595203157311585484929919134241484312113469909839327121234717241183710474580069929399133315649489055043381600384804772721103850244931573462058803509579515473653141058713537344635629948393530094204634974946070044756240558834217136519637114645533104818405915573347613421306745415421334968243501240954487766669430551784224887437680794388167860895453815179438027316852220145533155012445934424509391167061022282815983932027804809042910465191304247029949843597073926017024975210729320491154667737838598263418857652329339916612221216631479220038154091407002767990487331085397908554635314324597945367675409013963554132805446628792779014949679156560637456681022994962280437948781018628460380126692440466963749227213662171010344230133224970994368783853602456433807915360573419903934131548977367614778182641872243909890343905180508805735104299604652965015103614294757917738318714473107276535935628880250239201640123750261717904249675172921545066334205611127796954380052845572897703157259677100109163266500689217964624905622088019084433655251199407935527779746839237112725660826102481544824268515348421683362136087101190531162842436029402457621645784974427150839487564083916363191294773119534971938696604257402414257552401527457414345704856846136429581526238915403176487598665185888697210806567875921473857429081782601241444224215664867607868204392651245228323533861707080744598858685299174195299534610003181623806905812134032508232752373244019136866745225136527984262109273075475354994198900348801011653260774809228222611173556387088086572263723199278084124604323753469214932114163191756852357343368358557568613653683550195870638613918817790751227823441408040772424259974381579469651982140908518656090030490330036119199896776555961378598765784665142119642210181943443532515182294328132988589527497849424424335224469170868927148945792494213463389004198649083987762329792993509054425387441163731759778425018319353936039165750840875450837708495279175375763279397221623290559444850780705063612843624061793308360334661083231496289534907275923810515090714794332661313068464856417881516708716349721303958221898373716592963759756647837532398897386719275710113733089404372622372433643261842537020806651612348760848606867351102730020824155498941017809089267612878729814814130412896715588730749592533072641071583282336288435117604951768363118946262366439916397197175387048824353824732299703370494832050504999363659415757245526602934827656832725518075029759222842106175371088825569971295167920623465522289805462023836610594705819111522255759351578483335465491909085145524717056260388596895775431271810169857168527786901776099320529806809619913292314270316672292415359135740740941616429584058841461888577422918924172876914588404951251039379066265146358569300510770352848412986096768722302846654043815878214602325482153147008594506176129112611066273906007326177387328170637600880173152638346001230408955017908444276889769297591742096907846096004447352838317865814823032451390404037043223966069462186832926890660108520676361281242806256463479597160493752631674257959249944178565399952894140688272483353528583922779752756772108918726489011801875693562866943524099150813012049661935334822246832539618083358635097676812696709067989856591967523638847646135827648273091767384019756271835095457844407474237062398880918174434362892584690421237217658613689035092116609988280311915996251908712299521016700648496567624858802637486086237479954529049103700323499929363827617445802891259205882977031000907904777016227715040691376811042468830430323550117206607602393278562221369353306634622072176726191691717958935615782987235470842392473726932121391398007279917191691657750486691876064390830930880781002055429479703001162279669447841977557396215883247142765233037792132015088053734815155067148531883723370020521970480582922684816586134516510901326640294291428296416140668414798359442449678222245862874198485020355132565133630864105461129640593850727864246839832384204875193319753309198098646595607670949017350471756040370902681399157825392984701155156370202165732498477367118915457206025726685493086552631947541481726069501586635524333406835291071417431357179465735959265044101343184883892141853837946299504326914569827142121787278711926533815149784758457918437784431692753917861046598747309712625514632825287280134412557104419886139004074692356014991973846845816586703306139899979909295438814112973235566550116019285472337484921881055728247433991618490209806882529758383262400094365615086987953071502015344989742013017432330004900633576512945499349115471434134016052582797288194103561501404018817926788777936193764865443778866862837363082087853789543611149496177735781607493016963636550621908607756710197319789251912685678384207636011389238273838428388849147174639616029033754753053764433546674402393061053425614318575981670871144942358545555434576315371822721345665966407581920346524956153992066569675065909570708926030501834607214189572204691558799966332980876564732230050240286802102978402770970162772072501965922240586484283652683857799040931180029948617552084961225833110042478907870773829331031170411482856395124075520792455526516183331115215471467134930810875946650053007339678067580296566336123656681326402815148269227165432193050693671069075866495541405219818916437303934611924736867552316780435668742842623805764753199165914065312773961190875536195728466976473837118790444136123844694999310237011192096668119354632289076996507297160533080907151028877326479000161828227929150353546541061207517093575182558350849628321222325563760631330658639812733397288667900313886436247063784942552151910022711204067743254412207190989966519820944115665669190086850363769329445828782861052007385614123816549968409244209466227455508095827053057119964647213733920636630567765264274245781924166800310168880359316591255703486403923120181429770263394974157103477477084597936993288755872120750642629587415131894343022898947466620676326316642823217599169474615475348134848048098460505340447926741960520468289914533772577605971104560496573227926009136742259454172382124021597267800816968195204347483359993183205685170040509514752939756365220029554618310218835039045606143765936796995717596166663503710833292449578591196465566686296178327007251703495296271241577551815292090666678394210371218668812878007656340433512377946937961247731514195365816776338673058620182395086829652611329529203687783190692809089134023028957663303491042123623919479561974848448235682292303585348065276190728303377336207821345781938263489299331707903659435399669736705602386396912972279407116476052085920377625287237594963172922435249836349534053688765273650773711359248298691495837203066952240832784051746919603270348944679455558939149535456277784530349441542836794578660569736837814566688517043125219260388313630890705784596876468902346587439895606032736308324092982147994476532376182519268969652275757009388137943150825717426270617486360019365148312687348720026906514648762883786014475192133274340276986063608512752980695955671534503055738513561287816463128022230495036280482759936447461375631446697260722158197471770389521946318201140812399555967490406803019822112939061408114919135530116385731813948517763496456122022757383134825310317765762074635376983080130146932633417378866958135536513920036644391734725436313339190301194259150983219305196367535150916476357805023111453661507284718355349482121157283199399233592276220512799659552219822971252553730080022232433386617650529168195570190223176956613106601092134768929259704683944114013145441559535132323287273158069391906307060459548530379036590309672660954223316792873774645980518481747685447100425982506964697009415123435741239425595652297696873428477047330241398657320013078913080220867717031131233755476798243825120427673824895189833442465231723144874559643476363933413937636921373306514898117130718877849136913435045358933290351140675241483083360927020493798165397638170256345173596046852728734217038288454039093194610151933643889947886842919554213558979405475836040938205832571223120287227968166019855235078832591525836916567851647322167248381915144906865529542070285364496441245524618224221843667616509901650350184594443675690271691122630738559583953815679687573441735039746937135474292155049520038069827921958605766801704480336296995501227037127484341203839742320582071315830945882528116888918701989742521032972757245040129420161469121065892991598055376502285669681291824140261954253479048210205646000354399701360327655927140036499209873302412387140223094247241134382283077338861328929093080458432962804791078698001265269081471364568595471836349381202115595064443389910950000005949107217604081122084760040609575690467645379177048274488417512563971221375686302142736479016737926326294861678775589052156319698452202373730815607349348302084988923329744484658409877970138542311765453925070917361899326225085951344953646863380456056213046830622052737327861683892437836945746098446012123690941388344098139551389124890595233916286327069734410606480947881531030322079380125796432735779137820554520866985167253711492298542372560134444901185993287901267461376089102914755075435380044876351144482857322715302052073111745836082962767665348015219602880567872414960701048028683939302485357711582259850006967835033552742044547441528727365683971579112728259669736289062001958615410375474543940084918045018275034399805133000968031347672694633549859807666376050635270276339262434224414857810604075418335900537640035917595705015099684648779888026799421789521583767184717613442395490424631636712450144354122610868551612425620237742149791941989609183629959745525585985877776570783648558066537010573096004015222495521571227967767.86
