4,390,108,477,825,190,484,952,967,939,427,816,024,080,046,019,606,746,858,081,719,176,360,621,605,449,488,850,466,853,742,226,985,371,475,354,167,499,538,775,457,751,997,363,279,070,863,214,111,145,088,883,422,995,434,532,335,735,804,624,491,683,284,733,661,543,561,228,254,098,450,136,960,007,355,255,924,483,665,733,587,661,004,905,228,399,084,477,052,568,358,681,808,227,338,142,243,754,544,204,918,182,530,753,504,612,445,839,688,345,448,949,998,464,105,820,687,986,684,650,925,649,303,984,103,451,380,627,946,987,139,419,421,248,306,922,904,073,497,264,328,474,302,426,706,888,908,341,509,750,773,623,562,925,017,832,920,249,384,851,009,609,348,976,973,049,593,208,716,672,105,989,543,856,869,220,263,466,579,629,035,877,295,124,295,662,475,116,098,248,925,079,515,737,557,804,741,392,480,534,293,882,185,665,399,495,523,112,882,011,769,919,076,445,243,951,681,694,810,252,721,512,027,595,771,153,055,607,127,935,619,342,144,941,221,457,030,499,064,617,157,319,919,273,960,358,405,593,907,406,324,196,283,652,342,927,748,150,429,823,664,087,636,303,111,107,775,668,131,370,873,128,888,985,842,841,161,463,068,309,670,147,096,887,036,644,386,919,818,458,807,167,370,517,584,781,908,974,768,374,642,058,918,206,969,814,541,975,512,982,981,534,912,915,488,081,486,183,420,766,714,656,498,821,721,797,781,237,534,510,101,974,543,085,632,859,773,816,138,736,432,465,784,303,750,595,904,709,730,160,834,820,100,826,889,853,916,317,119,720,695,946,323,757,175,016,997,796,598,508,549,801,751,134,924,265,340,859,092,205,289,424,598,901,703,707,581,300,803,885,488,840,379,871,352,410,229,539,612,644,408,795,039,015,903,497,439,782,361,417,471,686,990,604,576,680,738,279,036,317,620,754,540,276,290,995,138,141,922,524,633,878,912,707,153,127,617,606,969,902,567,659,993,849,699,742,067,087,859,664,337,152,314,536,968,943,603,827,524,663,391,753,825,221,943,856,311,572,365,999,469,618,601,993,990,114,409,200,753,463,419,971,872,927,288,493,744,669,842,293,480,518,974,491,712,448,679,862,600,113,829,734,107,934,124,983,716,372,022,812,468,364,571,805,700,712,215,481,476,466,949,132,634,063,100,288,948,430,721,194,649,455,051,905,156,944,942,213,751,891,723,423,808,514,338,692,873,921,887,334,115,544,241,927,955,495,879,688,350,322,080,212,244,410,109,859,351,342,077,469,907,935,244,311,512,289,118,547,046,269,907,069,921,665,236,099,030,327,727,606,295,584,739,055,099,859,610,275,676,341,816,091,666,258,399,621,131,509,655,529,970,700,382,305,322,043,201,432,145,654,650,706,721,495,765,052,464,995,922,632,673,270,490,149,764,007,427,814,279,474,592,222,179,237,366,249,306,024,527,082,545,581,660,101,647,212,642,688,632,675,380,670,274,095,310,162,125,294,562,388,471,705,322,208,467,374,936,594,464,505,530,584,526,923,056,042,704,349,196,382,393,287,025,013,093,907,947,252,374,450,304,287,311,470,762,458,438,499,923,281,322,056,382,170,055,630,600,668,641,619,079,286,357,517,230,894,633,286,933,752,147,604,795,210,096,172,366,747,119,921,324,554,011,289,427,251,810,642,987,484,314,849,095,749,435,004,199,122,031,462,274,732,974,227,559,201,878,223,181,349,167,925,917,933,348,487,365,195,823,316,641,374,219,486,273,941,277,266,853,830,276,538,629,764,161,118,134,553,674,999,920,841,649,403,497,953,042,677,725,367,733,908,391,889,760,130,286,734,285,513,878,386,934,851,099,966,820,606,217,222,089,708,875,179,846,218,666,263,568,087,678,383,305,874,420,040,241,389,622,278,837,348,168,173,993,115,318,647,467,820,903,425,559,504,185,927,927,235,927,131,053,352,285,777,406,922,075,049,724,225,398,480,318,027,447,959,051,906,790,132,237,306,056,703,447,012,979,264,451,537,947,412,918,291,539,845,459,828,482,719,349,331,794,441,857,991,417,510,924,207,258,888,621,496,351,218,166,020,493,906,830,141,126,354,738,383,779,277,837,415,738,490,153,452,321,787,282,650,089,255,583,640,951,155,825,813,954,928,387,113,652,574,639,579,891,304,623,238,487,423,865,283,746,855,393,020,619,514,274,851,572,648,557,715,077,631,436,481,142,046,827,240,569,226,136,177,526,750,270,923,593,866,832,437,817,251,050,398,673,211,444,314,810,139,310,643,496,132,172,417,731,149,250,722,488,917,584,584,837,922,498,751,763,284,725,400,979,786,760,767,367,436,587,728,167,277,918,785,775,240,509,523,778,965,073,587,968,509,140,911,134,195,247,613,111,384,357,435,054,540,477,035,151,728,749,494,424,762,595,108,236,009,373,300,351,443,110,964,826,939,496,153,682,876,912,741,867,207,002,583,350,987,198,143,211,156,785,920,459,392,851,513,182,264,422,399,727,864,857,508,021,547,324,821,095,373,874,532,003,249,552,786,271,924,114,418,621,928,706,751,513,295,156,699,597,268,039,468,837,071,444,066,522,252,724,129,455,443,048,058,865,961,120,865,415,241,505,679,473,659,964,562,630,176,876,094,191,541,387,562,803,652,330,973,105,607,399,578,124,090,773,542,569,079,609,493,317,829,114,550,214,192,952,021,220,494,761,677,561,280,331,813,962,083,933,172,242,667,885,976,961,021,294,702,466,953,983,817,426,791,997,060,273,742,075,000,497,228,298,169,731,661,405,784,493,911,482,050,610,950,857,098,436,409,451,512,979,686,907,050,909,808,940,624,614,611,454,239,767,297,843,068,126,443,241,964,712,342,129,706,302,271,821,212,362,472,154,160,745,344,180,929,810,299,375,842,404,757,539,006,771,673,173,001,948,509,434,583,257,437,714,875,587,223,416,570,344,108,053,526,590,951,561,838,845,736,916,016,690,309,915,900,178,161,062,782,798,015,639,259,913,077,752,808,991,139,086,130,475,503,580,395,514,866,484,158,026,576,238,067,671,041,448,377,931,105,664,165,959,334,753,513,852,056,539,205,492,826,131,466,902,272,508,474,636,050,543,210,360,694,098,390,730,046,707,006,292,972,026,015,557,884,583,897,930,502,998,078,224,749,709,201,300,123,972,131,673,524,965,529,723,364,130,163,391,512,040,532,202,200,027,145,599,017,442,500,520,455,947,320,678,850,615,680,700,503,863,209,563,567,535,823,287,109,682,242,973,376,628,367,363,709,504,502,556,282,620,606,608,812,227,678,585,630,824,064,216,253,933,713,097,364,377,896,891,718,329,250,205,986,384,904,367,375,929,279,189,868,797,094,886,945,813,474,339,363,823,086,935,276,809,691,812,419,717,423,308,189,989,267,826,252,272,739,418,126,913,367,645,139,239,022,011,575,332,417,372,782,098,369,579,406,086,633,847,381,035,581,651,633,651,086,166,056,189,268,414,856,593,926,501,034,698,159,883,044,023,005,644,710,614,912,586,693,482,889,191,874,657,914,092,544,135,939,985,125,716,590,378,885,315,272,027,393,998,608,464,001,029,154,773,270,183,499,729,929,169,898,799,778,380,497,429,214,264,276,189,117,012,246,747,834,521,233,362,147,737,651,339,516,396,511,724,182,151,480,612,461,347,410,049,216,923,654,138,460,953,930,082,972,702,749,271,646,616,961,746,749,274,401,490,000,698,709,114,494,026,062,318,892,554,553,859,320,222,708,406,116,851,035,055,392,219,865,638,428,009,681,014,439,492,065,800,299,242,117,338,802,309,874,427,884,651,091,645,630,007,560,731,870,328,185,745,845,918,476,275,338,669,754,565,962,567,534,733,297,208,417,832,455,770,911,648,663,656,532,318,146,274,826,012,282,020,601,490,654,158,222,291,448,511,915,512,723,307,691,269,657,475,920,640,239,362,257,634,751,510,275,225,607,718,898,681,078,784,648,540,091,536,414,281,966,367,892,788,659,203,783,186,383,243,081,887,121,149,768,125,690,458,090,006,803,537,628,032,883,127,108,237,911,481,412,046,577,026,904,247,536,519,114,849,499,888,538,679,978,309,179,868,205,570,773,032,332,002,579,047,425,005,590,529,605,978,316,135,431,411,198,585,288,653,479,032,812,827,395,802,691,520,061,882,677,659,903,023,085,952,333,714,939,542,461,869,563,225,909,126,959,803,172,026,467,395,062,765,358,069,201,860,382,927,986,963,984,277,000,912,427,081,430,993,204,413,827,317,748,105,756,093,311,939,075,492,834,055,031,003,261,769,190,110,893,996,432,501,274,940,685,307,568,468,147,648,635,817,665,780,337,262,612,602,433,773,167,590,752,614,174,584,840,069,361,547,176,895,727,233,760,285,191,182,917,977,761,097,640,918,331,173,356,206,907,763,583,996,958,467,109,415,177,501,683,121,601,467,374,669,259,950,278,044,333,358,006,579,006,090,993,729,960,171,878,560,375,569,831,472,270,070,116,012,132,138,357,551,465,616,503,284,408,412,616,617,737,474,697,817,634,134,922,591,959,333,011,074,837,599,142,328,396,785,884,680,734,106,530,041,904,854,083,133,832,332,738,662,905,831,887,682,981,139,842,206,748,440,441,717,253,012,143,713,602,479,095,106,407,324,039,598,524,548,381,416,183,875,224,633,704,142,745,368,315,560,424,781,994,840,048,040,319,118,507,332,882,788,865,277,201,475,170,468,578,270,035,227,410,347,103,207,013,425,694,220,323,256,710,616,909,128,830,129,594,550,411,148,120,357,149,648,696,993,678,223,692,053,913,603,983,724,878,987,285,819,745,875,939,691,772,542,089,006,608,864,610,275,008,145,720,080,001,885,832,507,012,428,907,139,259,275,366,650,252,581,980,368,384,581,887,395,341,785,992,717,088,345,580,485,950,365,103,228,872,307,400,537,255,623,509,295,451,830,184,664,372,777,332,415,941,764,341,496,166,539,036,587,316,097,950,590,448,565,798,263,385,538,583,639,539,162,268,397,123,585,750,637,210,964,441,592,329,547,717,226,824,862,468,393,320,492,910,257,457,335,770,281,747,363,054,383,444,524,062,940,808,882,533,268,646,827,541,807,107,915,412,219,320,823,237,249,724,528,435,857,637,983,195,047,268,265,455,661,750,524,430,954,332,306,559,055,884,794,494,189,967,272,698,295,292,512,422,803,829,443,135,581,792,501,345,063,753,346,519,171,921,485,947,657,146,586,779,645,746,781,761,696,231,258,863,412,325,661,116,000,986,809,812,263,705,105,262,706,178,739,586,412,598,893,574,053,347,716,559,951,063,573,120,301,957,592,135,942,443,732,172,104,726,326,514,228,834,823,300,007,669,833,151,634,050,620,523,190,586,285,825,603,691,636,886,893,512,475,767,055,815,239,263,792,722,648,768,339,933,158,500,981,981,973,191,320,165,454,493,857,823,972,135,482,557,345,514,874,153,689,510,040,413,736,090,570,091,313,336,112,213,304,344,898,584,029,772,545,613,805,047,959,074,856,806,299,404,352,822,225,888,952,323,314,046,228,156,755,388,481,618,377,689,267,856,375,538,525,191,251,017,599,011,192,750,708,801,027,289,601,379,811,927,942,612,324,998,925,339,350,829,731,324,571,690,016,131,597,620,348,250,722,489,776,490,632,759,579,857,611,381,344,992,947,412,416,829,581,574,297,900,415,958,387,478,468,154,678,234,815,390,786,887,489,890,835,724,613,864,141,390,913,272,068,099,495,372,652,513,687,192,031,806,844,703,496,367,513,571,213,828,214,006,438,569,209,697,798,199,439,997,097,347,360,084,467,964,621,309,582,417,246,577,957,098,445,629,103,641,371,923,104,035,690,507,135,718,038,737,162,172,764,376,469,042,413,760,730,523,881,007,789,095,951,427,016,850,135,390,708,508,952,755,994,888,484,301,132,935,601,135,199,711,936,616,804,544,092,496,321,200,148,692,231,935,530,027,958,524,461,482,308,241,614,054,193,592,557,618,269,260,482,951,825,755,699,200,399,219,742,036,748,521,640,219,759,099,900,443,506,280,896,619,956,379,108,333,900,881,273,253,164,010,806,274,128,758,341,223,069,965,287,742,965,404,940,281,644,719,182,590,575,834,414,306,732,052,156,314,483,740,742,673,232,466,962,906,172,312,894,304,098,708,677,926,987,780,877,333,947,483,971,402,915,988,561,338,685,702,697,918,569,485,814,531,910,416,055,500,728,499,890,899,849,285,682,347,297,031,758,926,467,042,120,758,007,452,208,929,552,612,753,783,067,688,923,363,962,717,735,964,708,970,717,424,050,252,882,639,952,390,933,670,209,443,628,088,805,656,784,813,543,012,771,599,124,160,572,932,655,389,173,871,648,123,435,126,503,542,596,964,795,056,621,559,288,998,141,213,774,412,193,172,051,573,153,248,686,548,367,625,043,718,532,365,581,018,018,244,338,205,054,999,010,193,604,732,625,384,012,943,800,986,721,357,758,914,349,470,756,796,345,257,816,968,116,964,212,208,437,108,155,778,504,556,047,904,346,671,653,118,792,899,040,878,380,612,576,432,143,692,124,739,179,102,132,069,575,053,229,921,209,862,341,946,063,841,381,585,666,398,196,140,495,025,650,047,859,233,119,854,089,728,213,017,244,275,867,500,722,690,162,409,619,647,057,355,689,069,723,312,345,205,693,459,650,440,691,587,239,307,325,276,694,943,074,459,535,922,586,982,316,061,199,609,961,136,293,970,352,029,573,940,153,258,549,545,497,781,387,653,040,192,819,633,496,121,922,567,727,316,261,260,367,377,567,326,422,308,288,116,770,014,936,642,813,377,714,573,807,369,080,694,549,507,219,236,395,690,131,777,116,682,865,899,804,295,039,466,469,865,705,664,542,355,373,549,080,727,268,342,214,719,130,551,220,386,014,441,652,883,183,325,037,328,452,398,765,266,188,171,091,294,873,711,533,280,141,594,727,550,709,586,226,175,721,949,387,239,004,792,962,555,683,678,897,414,497,468,023,936,488,317,086,147,003,969,202,708,838,201,726,516,438,422,174,296,225,448,533,446,625,756,088,261,391,543,417,710,767,294,133,593,336,991,960,480,080,701,735,043,043,324,413,195,270,926,667,819,157,777,771,458,426,459,037,755,056,211,494,439,592,585,787,784,970,269,017,794,656,433,099,097,857,277,464,757,018,695,640,796,352,386,881,658,498,063,635,129,918,678,981,738,904,335,204,396,811,245,193,260,254,335,872,550,640,534,296,506,609,539,855,703,968,121,336,770,769,084,676,541,165,392,955.8526680100765696
$ 6484480516534402066202954711240905362456329570695389948231992199982321340060060041780824460548895519505060735616496904858163901127483578441368236620932765436063278028290101895116559658476052835928701770409332030839846491081643862010947351677502453816315705216556437315363016432521286118371269288659531232900933757534398718118904539981217327246667188870978893656606469656112900450834224367610234019628282555652564283184558020676754980709871950188170079344660763263764085171477374264167760052085540241790674814696235998408178713307394398163802789832621827524036144783294085653829447045596517792373745624552497646204376574385781358565111702438038548801415144718708951819450839701508291320661617369787172241495329486384199514283542462456400488144141703976730570542937654559831784300488193315498605072564552516902128441097535174250701906166585686909004331770949324734382540954658400548989604209045724101557837268842953402550841658588671450453005480622724158555341293202615403691409817680112433761734197685220977257369133434989328939194021643086291702034705001878772876178136365213077004823330399736129824005397096175188742643121320367788639521318861777423798421270605946355062713185640662275805681750249556542962283297344684085359255129338480350495021974044544212512272397872202561615782445210782952896646717257813225985567932385988649039145146052558741594236750643817646132627321606242518270331905073757379656909641980065220751783672784795439911972681731567554065578507807492783043358801656011100318834259685770690320718629315264848737381407341186862203663938440268343435276633465900187260084168817532343239131439380452386587573936047173985245642252553877522858837116457881168006487555186916478376703123967512014382561909870734130584043534516608984831254493959006227980156984286426444017135823218242462821251496860605362170319974563025147972214035927508409643688775784096039250770690631148407388277217379178307458445278128638610097766804730608270572000316219996715232286338948431194884031090294586770774345740087295741830361148914823642091406874118305012839667032287992333756554875662697516877470359409612474801652052342135555475512751149520670346675226068890501902946060444668749641415127611446661808297007372675740379214020685763282680900206384085900708653329996591206841550637948321548599840062061983874038888473031204632643583592982906700248865435017447937616787132597172887301672381449733834162360678455922230654576797654023335592774203888637697296086468405577800655616465593434796626497066759064715376209563470673955346249987251135105296294131580976852322132775096628065952247314987739955132938492325670057035246826185665791998364907097574552963002084754486144705767205574567067414265285363017142527518732405454425803826794591715161357778132471614533277170355044500836630973691658449596019367744882074124677981660887892775568244249952175255634693657362395421425320382340394404158012918942161496766463830066731299759580043681081802808380582509365453482941082932081912450911590394196673888079141298187458167241950599090115745352654586377615067189735405127676446203463884914108846250386893179719305740490779393481484579173606200257842200936956971999192640371379097240155648432185737536810717601984546793171594691344381594093329966895093393852198150909235238973252316331883658129517608200478547269476142615678712437801616451108750887247643441960723232735470034193671598288469673637282979258888989076173929657148177470108092015989408981582286024875779369478750944150600540663204963300671282490545753229545031912033656483274231803097397273560121497117653718573441698370313495826869218785295333168439565767709398474671726412719971261657501674156800614329576772796114592403834567100561217403603302493865622698056761516690650272675144635070022815910901000843513913051479754444072429718698994553054847504734923860769244436204907097790696072049411785121841347319201880844684304031317389715476468930497497495451499264992185211509696852610761216416344232262681015104541790782144826037334386203480842338466519768987582296056759291225675506081309234470245541334813828835621003648068900018782357231833790683369642122301100745903373942137732097124843075160746609353098317483277145573899291854724505538035414082250949653513254483480414655607333338566176072038413134743721896298887863634183517642910622214383273225794451769234524658167761560883325709209050618480263692435285935712304566023379431298197414738357002680879038764950520119008063476730683281977920646987265738624836927539201918286249079768886844063331923183685145173061595150383817683484553450389464792720162973508406456336493794113798524139431602959578877429363404768919992609150037902472902292426610876554023757803027229289547348499239027397983927620597386360114640184725189857131724111603046455798698795956089663119010394451190412628677368203559092228083322332274880128066584915351670308665969229750835527273233459361386791723301250252777814817352606456077289254870314460406187211161715286520393871046904332719690908077015465946503085616410104581033359846736872721377009386175213619189760969901571409959325216947327430675786958540170637938054129020223190145843555375063484881284781094979261854072973578197858949357388035711398460521632726023589730890271533550149949776161238126513310157078838010127659372134159899552121592548391343504094346169735572996944290717007188610097183783251439207810277032365290016791357917435612805753704793830146524481222214387995380702681616717722554350044628463428544375546938155875485626810296187911035107880469167180768314846115396589124730865186614053437130525275814537454384188881231299719739646215635926863384372437230353654726811455452703408967657697700851359808896712363737261485936254983036999144518819325601443103572480626688158892457529984990454210649477415432715169082584385269447735786341977153454012788226704926758373170492001708930173291020614722788115835889450245999640446112324482810377225918316440074851851934786513004968533393334363921993542596240634789916518388509145908149551533452736663274062493431543487488068140390275351624336720449305131270403144159230269494783436688461571014558129672566284316655302231415037331870046928837819637807680604181049857376456568225242321451828760055210085496765868324817522244178805074065389373419169694350401937662270140771346691634937767526313301354527427656849458375635046449945420654193950554065134857543410676826451618674915695955520549048360933328358609397005390804717730401600591172278221615771343858848470382035574799643672941701206002812541428966237379856817805126135385770721257619547777713433710444789817450944165327605908536328592321054357931659146933085875389248946389355060899132298319652386425492036444989928257548613857443572300610321622114374019970677526197958851459949779190822674038368689231705910308631381858408897057296579553119193717719221561298986719330603896351819364675098407338678631609296095652659952636548270099053540502095375835356511522410327665423818592977299532356192926583163777530609616501829760479431926231443625634317462144717115686160907720268237106081932895863795759550076402214360040198126921219036396366936086519758410171036684983661537975475843172088661133627931320661486157434609248350467171647454011396001545526543013867151057087912165605060545123592119612097893659156629444690398266009140999365999433090017590298410124716771643225605182835644301320200481711289630891288872964818786749498023345645471952624973850739304857584026554395936312896586192565012586612895468939287555301421664852447451771289529765489172920428309317911949439649220311769235516306754296502745324465309562399816933384236955320512090893966907710248435973095654002581169932671433310759215215724315530532421537123891535194456689805763947158177316893241299912184654988583391500610819090965332751471915807093335616585645739133609792825361181620827398676610015966954144592695776843800671674990110188334392417166445749585183869279240478360193651206371491286832011700798310953625179195903043618090891376473507565161633425740492048479853996638118695186413574307994210483905813152107529028244078062980925003082786790289121860277499155579946164053093385237307615318052194708123562274571133979676755695981487724371499999478007872206994260339279148446034599538855020020755221037402143782909366586494865445837659351093751038331866245721620643568623268530029979304708746696269736285372005438571512650701174878598170849216939816008123378035528329599321823128182560813092185467171906335451149567577410245745405344891445933132134226862848904580693699120352758137522751712733416623247954081670230983010500711898256216608442970850960373648735746113203306421368503081111654660706870268464892522180126542362680739838793832084347001380803442263493278113955232945248554672086210115977438519785097739928621197930900129823948452387825813238855072958963363915774340626547786180897978120639556249003250290770396010420279751568378579994462537105651745958812550318705484453110603527761827684013568509941992230052560702897437598094750740915946638713821344199577012923606909969450210819515799833488235110414928207170679879125586882201831040477652024433468715378279741237994664291730801909120918624855876005141753383590492674732574748514963411281565253794378070705921879306516457662578715598021995643372214252468466910196453394656725953232962149243568405122457886156885253031687963114096470928713563624867047885773612128584132123729039338193277211543313409890518980877045455426716751051099687254710285297517505982907181613230435504678223681097906693686504677792762607586875158548254633013315789269716732633766807107542164140673860637912157463860393077290832862360083282202074760271761105058048805441440951773270412932340586855776831398109000511726519147772044921869088631686332116278959815687686314730451784172984707371099010475250716718560819087082671968683860.83
