296,566,253,476,292,174,037,866,655,071,642,985,485,228,642,222,867,550,903,568,308,733,590,536,268,966,548,349,282,891,031,128,469,175,583,340,528,822,084,334,558,873,030,237,129,543,347,809,882,173,956,433,773,783,224,316,078,370,252,827,240,676,280,977,400,029,814,973,022,698,061,311,252,527,758,380,102,695,767,612,952,907,188,988,642,079,872,381,463,835,539,421,177,514,784,395,723,211,265,805,932,758,839,851,627,578,345,971,793,986,938,443,322,182,698,568,698,405,200,331,831,016,082,182,042,183,366,704,816,124,810,633,036,306,008,489,752,584,661,279,272,386,618,781,389,886,245,123,462,708,385,339,282,552,686,888,247,470,705,843,097,025,212,880,924,217,201,534,548,602,851,261,855,436,076,123,252,545,789,099,302,325,169,784,213,508,632,614,721,618,048,441,161,884,211,590,984,915,683,012,935,137,443,744,395,690,696,552,759,620,183,482,888,149,590,268,261,019,484,169,857,116,025,554,345,377,345,601,797,674,660,251,664,557,652,433,730,724,850,515,565,818,916,764,659,649,417,963,167,664,803,295,480,346,308,691,979,397,642,181,913,399,173,442,150,591,520,909,638,033,062,621,931,859,015,371,630,577,450,559,347,459,664,926,648,113,669,435,226,601,034,779,440,582,420,750,805,049,144,565,158,242,993,417,702,859,660,890,324,750,454,784,441,430,200,551,052,639,535,065,007,468,911,839,693,474,152,793,632,296,276,083,277,870,516,900,010,167,646,353,336,742,734,529,436,935,957,801,831,402,957,927,257,550,970,452,403,063,966,168,788,566,259,194,890,788,406,593,741,762,497,568,650,095,080,731,658,628,918,638,259,636,586,997,435,217,904,135,745,971,790,611,253,534,103,701,779,303,152,785,764,185,624,469,020,265,054,167,716,367,871,109,891,500,297,972,503,670,084,416,767,169,963,969,790,294,301,362,438,332,794,719,990,343,161,038,008,056,915,443,833,128,063,023,886,836,657,670,155,710,154,987,518,003,740,964,174,957,102,222,805,641,350,783,398,299,967,436,129,770,361,581,546,403,466,360,893,174,419,103,026,812,087,315,808,549,010,963,708,926,515,454,156,196,826,712,432,837,053,645,435,447,152,064,512,650,448,454,594,483,373,147,994,945,660,392,914,113,443,355,785,686,320,792,234,241,922,541,796,941,811,054,642,897,257,724,360,870,603,022,202,400,397,494,272,278,065,589,334,219,837,191,346,947,409,651,218,611,944,200,487,380,854,725,668,619,275,343,737,943,727,281,665,914,237,700,364,646,870,228,343,951,453,655,140,614,086,524,824,458,329,691,748,731,512,880,974,010,119,342,539,312,223,249,364,723,645,863,098,894,401,721,205,313,316,121,242,354,753,591,473,164,904,305,925,905,498,553,628,627,302,305,600,917,607,198,113,193,151,176,078,114,807,461,632,642,395,066,859,033,987,999,443,154,870,263,457,148,376,853,232,389,546,977,401,106,315,882,346,989,066,077,504,272,309,880,695,818,797,638,154,879,726,806,561,709,377,385,646,155,982,768,767,476,982,622,062,998,256,098,349,570,980,487,563,429,343,920,347,205,769,139,850,707,409,442,144,676,046,492,609,965,003,705,504,869,366,286,694,548,843,594,997,213,368,126,175,492,839,658,470,763,069,424,642,138,234,627,900,955,236,480,405,992,139,177,295,011,591,679,647,015,530,966,032,153,367,788,851,421,951,882,277,430,076,662,582,639,958,529,821,159,633,378,186,507,272,385,333,795,341,878,678,044,766,247,785,680,055,135,915,615,729,189,771,578,153,810,790,201,096,802,600,989,246,396,871,021,343,598,089,878,347,871,514,500,641,833,977,546,597,407,141,120,672,672,688,481,152,378,393,837,395,446,446,022,071,167,601,339,603,972,841,578,292,165,860,234,813,133,744,616,849,877,891,129,018,692,311,173,779,686,444,079,250,705,279,054,841,054,649,855,710,359,867,085,092,738,755,412,007,998,660,815,378,483,749,161,584,992,051,280,674,986,429,223,579,590,443,090,242,652,111,682,479,071,641,570,408,239,563,495,038,293,147,970,485,729,123,215,043,363,804,235,755,356,389,667,331,079,687,556,112,990,768,189,031,711,074,528,310,837,268,457,532,255,321,352,410,492,444,736,230,091,789,546,071,471,462,442,774,887,547,854,024,047,770,085,305,780,204,502,718,179,208,900,730,524,802,462,001,117,729,306,111,032,132,031,162,922,929,767,549,616,014,224,571,181,657,947,976,833,917,735,245,096,481,109,218,508,537,024,225,942,451,032,604,327,942,781,133,612,621,212,889,257,743,991,628,537,016,374,240,093,357,217,929,674,761,428,589,478,859,205,574,079,510,348,350,724,851,017,346,746,194,601,243,012,306,420,326,294,051,395,625,097,889,647,530,263,939,929,795,080,498,469,635,959,391,140,983,533,890,127,588,726,027,641,704,757,175,651,337,919,155,539,955,045,010,493,325,219,808,537,699,805,060,022,092,000,375,677,443,732,127,315,871,125,204,163,824,051,735,996,094,287,751,759,601,969,366,084,946,927,154,212,048,109,920,615,189,063,582,301,146,360,460,182,900,695,896,593,721,953,914,827,188,304,483,466,091,941,004,051,563,915,230,596,527,359,737,720,988,821,838,765,720,423,243,950,620,290,973,479,777,385,495,913,208,654,398,794,693,341,084,543,016,115,430,987,671,258,824,441,486,387,364,368,452,278,685,053,587,963,140,469,805,054,513,039,225,024,590,866,258,553,978,379,880,404,290,970,009,813,152,797,193,458,443,865,679,964,981,693,412,051,329,197,081,114,253,136,886,771,591,318,821,218,211,381,851,482,571,732,611,709,944,983,942,322,026,531,287,575,131,556,661,657,301,027,965,989,710,246,737,355,097,817,004,621,778,720,097,843,495,343,545,041,988,676,811,005,433,119,858,803,567,868,052,317,983,956,640,102,511,553,107,012,994,859,433,057,851,127,508,397,415,278,578,398,214,871,367,700,303,120,723,739,597,633,779,629,076,400,812,473,327,253,890,744,131,384,605,857,318,573,885,154,347,409,997,285,887,002,882,708,154,407,424,487,001,919,780,847,891,713,847,963,754,502,947,712,376,294,113,849,892,253,665,217,490,677,450,878,611,971,130,976,384,598,790,761,025,488,488,036,095,093,657,549,753,817,776,520,517,138,959,590,998,155,570,777,897,605,156,312,314,008,246,109,297,470,933,914,553,926,503,709,675,719,587,002,455,230,977,440,431,319,827,430,563,121,607,960,514,753,091,234,025,568,221,168,808,939,266,649,558,089,292,793,855,040,565,668,988,718,900,562,415,360,492,793,229,094,563,634,964,518,418,395,387,200,975,011,055,010,869,829,090,226,214,434,982,840,829,794,219,203,472,077,361,281,533,945,546,253,414,594,318,204,489,773,500,010,579,662,011,456,482,388,500,317,046,880,410,416,502,284,234,959,200,628,412,618,074,955,455,483,380,838,420,007,011,318,383,044,249,985,933,576,824,906,104,804,403,631,925,737,208,051,405,123,378,471,489,824,125,197,742,620,775,308,462,431,531,671,109,580,392,640,211,163,524,220,310,329,221,187,995,500,813,296,272,504,596,566,378,599,359,195,316,093,078,826,721,798,062,771,100,579,068,899,763,778,373,970,399,756,396,555,217,970,638,196,219,623,800,815,927,196,140,455,911,051,193,268,244,466,187,067,722,142,803,253,844,043,482,533,796,347,676,959,045,470,127,193,542,561,173,264,401,532,810,391,534,671,339,573,904,518,140,027,936,127,413,183,457,142,441,857,978,715,236,005,585,818,981,951,621,098,407,185,215,708,679,382,504,164,827,815,323,709,148,713,933,444,740,440,948,338,414,768,945,129,169,473,716,284,211,890,950,515,296,895,837,520,602,023,872,334,537,134,294,437,798,821,944,205,564,215,356,299,653,512,074,989,669,420,233,237,598,886,296,774,101,195,388,398,477,432,043,150,624,886,362,974,262,636,918,987,134,208,137,833,976,656,346,128,525,532,033,982,374,782,784,702,968,404,684,891,795,349,165,848,659,319,319,859,476,955,440,486,369,690,651,585,160,563,243,709,035,652,571,054,590,820,626,282,277,342,975,178,795,907,004,073,557,273,761,681,606,515,456,123,836,914,495,618,796,714,440,279,870,266,658,637,603,518,437,225,690,541,149,216,072,392,562,932,524,451,395,578,217,186,367,106,050,303,893,155,464,835,739,423,545,966,997,584,323,603,277,231,662,411,566,479,797,430,314,980,607,370,342,480,880,441,739,909,714,834,053,313,319,843,016,917,902,051,573,578,200,048,323,831,223,020,585,881,595,145,486,361,101,032,917,929,501,675,103,783,901,252,237,093,273,187,643,998,331,306,534,666,046,430,937,709,047,598,510,102,010,690,281,245,291,652,180,805,585,620,553,749,851,915,867,147,227,798,500,195,680,956,374,024,019,842,420,943,477,784,253,187,575,199,434,253,180,807,959,732,764,745,401,602,580,275,838,687,844,265,430,334,021,705,881,484,163,063,719,041,129,932,581,581,857,324,979,831,617,910,462,091,041,667,997,310,763,118,161,880,939,287,056,572,851,926,437,446,847,027,207,923,058,647,017,626,620,704,078,795,688,813,905,567,696,298,217,702,504,035,456,921,320,736,064,738,130,272,184,590,310,079,583,757,197,353,324,724,590,817,827,556,847,475,697,757,859,069,406,023,727,387,561,071,994,432,104,118,247,819,257,912,806,975,348,996,467,991,158,863,452,924,151,193,834,263,094,408,338,006,491,657,343,781,344,212,835,674,741,946,900,342,713,571,625,805,510,935,224,366,554,417,979,685,035,790,237,010,405,112,299,336,203,009,676,854,534,484,511,020,946,682,501,093,882,306,082,783,414,400,638,934,167,274,702,950,497,415,018,765,018,637,335,349,588,761,617,277,266,253,073,761,840,508,129,929,768,934,078,664,966,676,273,095,456,676,115,175,531,160,593,598,233,469,529,045,437,544,584,220,373,292,770,918,936,198,891,792,323,408,148,177,043,947,644,893,585,372,854,658,336,798,534,773,429,630,353,684,463,000,858,586,783,239,877,962,534,223,411,453,477,682,650,061,976,543,329,914,416,326,744,239,795,032,952,136,185,264,889,158,011,644,908,961,816,042,226,244,370,481,114,209,579,815,908,531,108,612,128,595,761,435,672,680,493,948,608,335,605,159,844,756,940,189,498,993,115,130,029,281,639,573,456,098,861,692,599,419,397,696,954,838,078,118,842,322,672,478,458,117,739,254,069,704,683,724,710,781,267,430,388,117,273,767,332,453,344,937,492,138,921,057,810,137,971,518,606,310,697,331,111,255,803,299,702,016,826,349,020,640,846,256,707,061,658,288,539,471,365,598,661,687,857,697,792,419,490,772,427,702,734,155,641,492,044,734,977,565,277,474,464,131,850,661,080,340,065,079,206,208,336,969,082,459,981,672,135,154,719,633,001,940,264,111,819,715,362,648,265,592,107,760,110,736,524,878,223,843,107,745,475,701,527,863,268,298,698,239,055,337,677,680,611,999,784,290,802,437,600,346,043,838,612,549,704,211,970,739,216,558,156,920,776,670,791,425,804,898,577,605,645,755,541,473,735,454,774,856,899,541,819,577,408,303,082,513,332,820,926,539,837,683,303,969,085,965,895,323,089,457,596,713,594,470,200,347,843,467,371,236,299,915,889,386,113,772,427,609,101,626,929,986,225,202,707,752,637,709,793,238,783,219,470,629,138,304,722,009,179,232,676,493,343,061,847,645,692,605,654,761,267,029,774,442,813,290,911,522,220,908,326,525,186,286,843,751,756,243,492,936,997,659,624,617,107,217,084,463,110,439,892,111,195,880,768,382,538,484,023,410,450,856,984,170,990,424,996,481,703,361,045,162,510,907,748,474,372,701,979,800,114,481,008,781,779,686,030,481,240,017,413,086,648,604,490,411,931,689,426,245,392,893,499,065,252,472,803,060,748,043,702,280,889,039,174,103,150,503,517,670,273,921,422,649,242,231,192,354,451,206,209,542,600,440,740,373,402,508,592,400,011,070,264,874,585,475,349,715,217,273,692,322,429,201,263,822,776,276,237,418,273,600,076,254,313,070,825,025,046,541,643,891,640,150,256,321,054,837,798,514,453,715,113,382,706,123,715,462,778,362,320,968,517,842,655,971,385,810,287,334,221,149,070,333,017,190,199,228,433,845,031,560,161,164,680,316,961,089,954,218,028,849,663,720,201,263,707,764,045,122,675,760,720,310,649,606,001,596,270,194,343,683,950,742,906,358,848,266,230,442,662,281,216,180,929,880,135,838,510,521,838,435,168,275,631,253,508,833,797,668,836,281,473,708,941,678,475,056,931,039,887,532,114,553,690,957,262,096,731,648,960,643,240,057,540,707,895,181,088,245,061,634,590,750,499,941,988,155,391,191,311,314,912,670,317,273,290,756,516,556,875,370,028,196,380,040,451,954,558,303,557,964,924,162,174,569,829,420,790,515,037,840,056,988,708,625,790,028,781,385,174,547,803,244,329,319,070,737,014,303,572,447,472,633,311,979,247,314,563,577,510,533,804,476,255,390,473,894,599,262,046,990,207,984,995,207,324,707,725,586,543,405,116,909,742,950,421,609,477,005,894,917,792,810,035,688,428,918,626,778,286,327,683,059,124,981,420,366,994,997,420,216,721,693,812,309,589,342,831,057,832,627,907,000,519,688,469,673,150,774,829,297,451,828,033,408,735,321,561,821,510,666,425,447,187,193,113,714,677,570,824,284,308,008,052,664,331,234,231,504,723,661,607,397,086,933,269,938,539,434,745,467,810,586,926,650,114,197,282,990,298,855,227,948,441,767,814,937,308,161,215,889,328,345,333,778,379,374,837,932,798,746,529,570,228,829,669,718,165,079,106,638,735,515,562,155,454,577,394,419,455,367,468,672,585,368,870,147,602,096,971,775,858,270,531,769,678,396,387,164,990,629,903,926,503,003,060,766,198,931,099,256,172,045,816,275,152,308,590,039,298,749,498,527,783,038,819,903,163,622,701,036,078,630,917,219,377,618,074,798,331,343,038,661,259,293,468,802,756,888,107,623,002,584,343,271,031,637,847,176,285,915,000,704,203,880,422,759,467,863,247,707,329,830,725,502,114,804,232,177,854,967,299,632,761,915,808,560,332,630,571,965,078,378,359,499,531,670,246,137,114,872,502,498,189,917,911,148,732,732,414,734,684,239,550,457,091,305,997,381,642,703,071,649,735,678,400,592,732,558,593,120,059,514,401,315,395,690,177,066,855,384.70269600856539136
$ 3023180495448539939842048883065699257327789590994130896579464496587137528048703443555938203339905316967080952232662882373406542252113091539405278181578860788729399176398279160602954456315153153377372203632258359981569050599785161074490705329300007723234109365429015614240346162007331669906456581485882204349877879620669958454738268049321618326445924963330812998503287665054769364403129959517499036090922157146259258993557775944078254263949397113933370976021700866029671750488729892248068413728035306626110832278235780597666668744913148397657778682198122731710740701116733226408316783752382438042046365397481163701681034407831664997229490558700060929023486717518210559005469436632848402726447171813373507064511157279571271284093538202438097357460525007568934135113168300568458058082896014353503414883943156893898820191265922313957853163805575081323545230414183215409585875745988826009367574583503235381481457639747119839153086086462847885202889279981874160038442502346660879330797510005541244242383786724516736893536399370679139402639889581051418225205132733444583553977951473058123808170573004024920281719353831554182920212290892130474566106981093426094469069839808087689317411965168256426276590249941544183697490021383875603612969839298552191048047407622530414010515651901892451772609955333186049584080532530002876665361484740786891527469155875907519994184935436051839352101520537155053039690154844397410338360583792822658195851608279748942279215822693653110916559361705044513784329757848374994633012572268241760501245917272417113153820020832212720262293623777092673951427282293272597115131497807042801405662863759849071105437809344294103913713514924742792949127091280329966096502998166338462094786836170986334108123755129255751020954927047073852807739573548373201049512966745736016670452113671919254650574130734964934293098718346448937703395678935531781307039772770688742693429292124043179624087681260674963022940725565114386435869822313516587901791748948820107155710886751949761467748795360893912367226304372819933083791431691676190773752285497970839369393993913944030909889257084308549615137196728524060050677898348855469615965037589867137630996119969787494740672777936103860344573809422914824620294706177918583034140948485867783933828577345578806094014078468509606942547166855091458150023384060908391881467747740357556199058282157542292902265435532789690844074133078047079514442522189372931109216195678445732512374567478275073705750901430258941352992850862483759969500609025936494974681065983691992365925375940127334430578936671861993216293345290136448980387220676122359981484612902271365659612729936146343672317987396852589109466881191851166275364506253690006950656153944400022312453952014703983931118227937100062646325330753886560327174811111954810845943314179587301863873629375444117882261341827139490141853609328313934985783538725857613687574810229649266053466888069763864579985545064033240320523826085260948288101055282852553015157734842828199808974884553817504792449903228697125113155813468266855420249900096791906890698425900638649352410058573256521716437035419082849096762235542473870753344580963986499403573139151860769886703819700021213490908583137575427335904290770788270153694013606684309320194581834322746825515054192271906129778930133090665904057032208140719638639928214590879954995137149876718597471529358273951070025234514551033446460581053011957575216189794548254347798874829704957676831802650035157749040720003019113577245920656674638759232095501995222664289762711766010541315349056185096043905866047393222276561208879778801623643292717674665835838795886929138838908999133641954349707942776209904988512662561476133337978300524052438652627835905599608535814259785599112928490441719666886121085571276605347503907625898100546077056814841927873913482412037041808752079409861488798947148213424986616913014756296431947265332919304106592803273375713783419472675265292687220922487877413154258657633479629740124494779019629685492076324099379876349380447637445838792597843720787163614998250944474621549634414141580042459966266174589813852903934107381228153101761742593967547478986138657294704847962502439240036004689800103389420932518237248893448160765726917828613049662803470296086408263587735831173150979154311108451749685035684653818717732164671942614462528544760662293438145943056011068936598167005579360872662321010993463608678305778808158981048417457856388506321133582649727632023243572395151505303262614564509002125352809032349055305613840251481526668888378987726142930121307715590620877047539117554477128471142348276139621864690926434083885267948381859058917604782268841588884536312265669124745083875126445615002750058335749568048731964368627166010524409595220742978604960942693244936414849976871585558006780178470277684886694343259600657180761428846462340466860766568157643423799050822192624660981226459857110697001219293289044850612073399817134158618845203157749566050824249797955472175575797575283092950623185580900723047221419794995452691349479543198546033639736523353982198925340966588776482188140137965608999046000331178691454320374106677709707616669619227395263070659917938166812500006770973419922475749375884846326035948320355019346492343780277224963403054807080426159719795109690817292626906700616151186731270798488624192633015587056744338098885979579097777412613630811646891515124842328613890713959248752690064150704420032630792810928561281446663902933148836748984173601401299667403496671296108490921221478900490967156110980915713750094139258500639688574121566901476516518358221905012427040504941964332253830979976519883577321481948355599821457993017041743976080663336418100825995575167847020453006436356753091507496418895544827424479347117218729040612707394165921842057128431712297728462085520458591435114617684526568000811831317751265552056330084975309419058579167153652788306722632915246610944445092878080645584165906272974765404452298914432670286062804967581752305453108667696685653334801581606832244649433805557967535327508419516826549245566233802568359780415179635280314986901677795558413863656053287582406378479147552602454552036290074233578544764512289512248015615716715764631888728826818602166509107850945825937154606072998592111435147616975799234461772339652454316839474883711828943216356919630006674797678754772818538491286532247131304687332052780563635098546659363080767427997354949534144091004857078175645061639531876618914474963883941042394507554402921039254726795723301186872862149022559400878149844460727576027059120350709644349989507110029784893474292433239827918571450174016922703966878412526016440253682014780806919904360896990806551921552517917925544660629603097949797884840882061697962950476789576773600059164327815443411746374051444641235964921157418158628272185943238493444586609266210963060490336636545770738565372010182332912106996484323672941555608497206517865785409587695200951766877404219670272996623280587381402624798311024219720991586221474242983731014352884111338003250845891567511868442725724069023420237325046599338600426467531820307514007053182739005692274150696370757828066607755147259338221811903414100754351569309703872787845457964318333741654721801160560495759027463736885439114844239311210625926094196847066203323044963111480509809900410137193407817796078577351822934883853099395629584406477218578809258069304157420379868590363323793527796243408012142908152638698259327808072669816897285676399673102920246310630541710478150204242109584276489000144232283800626939388247673820066946627590099382950908256246745746528659365302892865473204730636442501661374642428216609951707993895298550545537413294539695356987058514727372460710634535250007428800703879398251671076944822466896070420661981464330107554374907479800523062073170317619938874400557779133930204954870103719384383068607468320275588044620837977635198623078187293952208222908063359276887874858135667260518303784709120565744265695341936810842324225795060734663775887251506301729607286037951232887077312146226109622565232718160393247790615689380871098615500482333870772934161257338380545063570007510828139813093070994575886445957071085257006483090662118520052484856917301606955647337208943246599021788944320413401097491049416624186203775567988629928744383032001918777875581495849991457528344089386155165365610992907981721722558543359223562610376707003142521102421344420927004297701366215384507573635537390560325664270006032887883735045042484173569269454131534091177038017986991070521134795364733558618959491727331212067835318890598604826275668387653646729597109919485669665328710242820967742048297870485524614812041239592751265830415283053083695481642097788514714626514973197891490902247993740707962386736486364711484973868926847130970706483886031116571352008999888589845738103746000776284067469033823981764546429819596317845636808713843010487159127843706058307045005021188670848566483664097173425971721611160661774470630195516211855619131768990937944700067696022687753980774697481494007897503372360596491328758310185061448800815531437876776191680291418711071870883485766137317561964021721518421602145039982966159895331823161624488739166700854567179561842748500598035529616683053026109816423594343695511110445292615621046955961883323598919796668489588010523319421501306853466027388577232442594607658971191912462838285878612811352786880380399237655365416313133137980730335236657127975083650985876596825747076190716532532989265514384762017796824373706842346946299711847748663526417088465896476188462949977135977246257419300355142912109684357920861918993691102173735348159988563572647344802600740416411401117569408969717115471030037245865597674586672189819909117617041007706425996694977933640276879715476759020638541661283292403013128547251927992681221622050171941831131700137051424322924217134688944254039760877952887419792348239632587397061138158358918121040250374888367.99
