10,338,123,333,607,803,730,104,265,694,791,451,511,159,158,130,286,248,339,859,662,744,684,108,918,648,882,769,973,778,282,584,891,599,354,608,480,429,359,058,961,878,613,036,483,611,038,789,044,278,070,661,787,088,569,973,175,573,718,963,060,525,404,026,681,058,082,944,700,519,065,290,453,832,969,598,950,333,468,695,705,750,885,800,774,375,609,190,543,033,459,656,803,159,071,348,702,261,920,875,622,846,913,705,354,093,019,434,894,834,772,056,837,761,815,005,018,329,328,767,564,589,663,865,164,307,285,506,736,299,391,641,179,499,815,546,727,663,022,229,370,327,301,263,741,075,983,755,619,862,090,079,228,097,002,958,451,100,794,040,951,986,249,936,041,992,560,873,317,657,754,312,932,439,822,241,708,663,752,373,775,752,869,503,932,861,808,291,664,888,880,821,699,894,537,986,241,806,717,308,383,348,473,895,907,817,953,916,515,301,485,921,839,958,649,160,449,255,924,545,740,305,249,861,763,963,852,862,488,792,859,875,485,363,123,231,167,266,520,719,187,345,432,284,778,831,661,280,467,184,872,167,213,428,429,717,559,493,138,422,385,232,224,806,349,932,817,472,386,482,911,211,215,418,036,895,013,123,718,231,556,715,784,277,805,577,540,790,222,725,640,335,416,299,178,646,164,574,456,578,402,791,615,839,642,400,213,415,725,089,258,636,394,266,156,363,290,720,512,863,597,313,282,311,545,212,568,063,071,798,979,516,697,889,263,201,640,822,913,486,030,478,231,425,148,324,324,792,371,031,894,515,953,376,861,594,646,086,958,823,489,899,521,605,614,253,082,160,853,269,672,831,830,090,690,103,788,388,345,692,325,280,767,210,780,201,514,662,924,831,607,843,148,961,679,093,991,760,464,617,818,872,874,912,788,093,792,279,285,624,545,482,310,765,665,119,702,487,701,672,063,600,136,007,495,459,670,379,207,872,247,965,400,004,350,008,186,525,922,493,196,435,125,781,203,342,209,632,308,248,313,657,349,733,357,611,198,010,772,299,569,201,440,477,654,217,374,152,339,922,406,384,196,186,821,458,931,814,073,997,836,466,391,566,167,499,392,365,393,619,313,267,443,218,826,241,345,508,694,022,859,075,028,748,827,402,442,319,993,704,249,218,837,941,822,390,259,251,866,499,816,418,805,567,249,232,865,080,525,216,918,059,238,641,290,099,607,069,450,224,003,979,528,775,125,388,068,167,762,706,376,068,124,305,704,073,162,401,707,631,069,036,866,653,442,059,208,403,153,676,882,142,702,299,982,643,650,343,284,332,659,530,123,828,874,197,384,654,292,241,564,790,125,472,235,111,796,214,229,827,781,925,744,571,661,687,311,704,105,243,897,445,954,483,282,366,612,878,505,856,011,683,092,693,462,361,161,151,586,591,726,347,990,414,904,303,127,341,938,336,470,846,923,886,367,164,942,377,033,952,291,488,485,592,505,657,093,497,961,897,172,681,059,541,458,350,609,206,964,777,042,578,965,421,696,986,830,062,607,709,287,207,724,240,015,361,349,012,867,215,859,546,051,916,746,000,614,310,495,600,396,719,431,711,245,896,112,914,779,655,575,706,388,585,027,262,478,375,479,530,197,210,854,601,762,314,672,428,414,763,093,120,697,206,813,185,771,582,505,073,279,137,788,184,517,884,265,922,728,149,446,185,139,361,913,833,120,949,211,932,301,202,616,364,802,001,153,259,225,600,927,790,901,085,914,473,031,889,760,154,279,239,393,099,496,108,657,993,270,455,637,008,540,714,344,987,647,324,374,450,551,613,695,635,806,877,698,313,900,791,790,268,985,928,754,699,856,693,429,966,379,128,909,833,570,082,082,759,322,717,801,641,711,297,088,353,528,532,388,293,121,713,080,560,868,654,890,188,775,311,452,277,200,290,622,407,521,691,136,294,111,791,640,650,989,112,361,594,101,866,979,371,408,864,444,261,746,469,123,462,531,774,421,791,621,405,045,629,745,717,100,749,814,012,533,222,525,477,868,914,157,728,685,768,301,239,354,009,431,988,427,702,465,087,527,259,319,118,133,168,108,229,727,611,319,805,313,213,069,349,905,984,678,571,187,387,652,225,911,319,431,550,066,486,050,109,156,358,138,026,957,859,289,421,648,124,647,892,718,023,966,795,081,735,360,564,401,092,629,416,008,260,565,761,738,828,170,090,374,087,224,611,653,914,793,048,656,525,536,160,206,679,097,414,797,610,457,755,668,928,278,956,831,188,825,923,860,695,633,991,754,826,725,661,372,668,250,209,010,339,483,687,305,157,766,930,822,072,076,416,616,209,341,489,709,637,631,264,064,504,924,199,172,442,115,501,398,034,040,650,736,090,551,664,760,694,095,033,990,649,712,608,341,224,143,194,734,753,024,641,312,567,173,351,385,890,875,315,637,842,151,679,490,904,164,440,301,661,153,530,799,082,305,299,738,427,652,960,707,002,309,413,587,688,834,760,897,930,693,920,387,815,945,044,043,007,714,424,383,087,688,218,680,826,560,232,466,624,066,410,266,835,542,962,439,226,789,516,941,210,112,342,888,869,352,378,764,844,633,360,294,329,710,841,479,509,323,896,416,275,311,900,147,802,994,714,207,819,441,864,967,355,602,171,431,540,319,296,700,469,002,775,066,307,358,275,890,352,986,931,159,555,028,954,752,590,794,354,666,235,483,327,568,756,503,654,439,502,095,328,688,811,925,645,087,041,099,625,842,221,497,320,015,208,734,332,593,843,911,194,875,338,044,335,964,481,297,711,307,477,031,051,042,960,656,758,476,989,428,890,027,800,494,804,627,526,568,601,032,544,711,931,231,689,800,446,555,814,208,861,151,872,298,290,032,508,387,632,367,240,244,522,976,972,850,336,721,544,217,900,867,901,044,232,158,929,628,601,432,193,187,857,851,055,043,413,878,149,334,171,957,153,327,798,611,204,938,004,960,730,500,120,144,225,455,199,437,885,392,181,461,742,566,963,382,230,220,862,793,529,525,242,621,559,072,210,137,090,398,854,060,026,149,462,747,350,470,281,466,993,948,592,890,909,039,841,014,790,398,085,445,942,312,524,806,747,333,700,345,267,907,718,505,000,861,207,552,990,954,085,139,133,509,939,817,368,975,241,338,797,939,498,187,535,273,644,468,781,609,276,662,816,305,269,112,089,022,012,554,607,827,701,811,139,570,473,923,367,777,536,665,094,984,884,967,726,660,378,426,930,323,706,459,489,966,688,189,759,682,449,707,530,168,969,063,579,298,300,729,060,706,044,195,915,208,872,947,118,828,441,387,277,669,767,643,429,290,026,868,181,933,725,574,381,758,912,235,064,817,830,000,010,776,597,601,001,517,969,261,350,078,254,435,713,204,081,866,005,257,057,177,886,925,126,523,498,516,382,067,585,790,555,326,522,120,084,384,643,195,356,368,360,158,873,522,299,428,846,286,214,013,281,218,669,574,958,991,971,933,077,047,826,392,948,100,117,129,252,590,047,628,670,338,193,068,106,880,972,049,772,810,470,227,789,266,245,459,077,657,776,584,874,830,416,301,977,687,634,417,565,636,716,566,887,343,984,947,306,335,142,957,928,996,204,148,245,529,176,588,074,578,959,725,330,447,002,825,353,768,642,560,995,366,307,719,089,180,954,638,502,228,682,713,907,954,949,788,624,209,254,362,028,595,663,948,666,755,181,849,743,485,353,115,273,084,531,222,052,731,627,484,759,143,550,948,265,117,018,628,255,035,545,825,053,620,368,292,366,535,311,404,914,579,815,800,506,881,285,503,804,254,659,183,358,217,252,510,011,714,002,613,008,603,624,011,659,453,067,453,320,805,715,120,430,750,516,330,905,741,646,329,382,751,367,379,046,581,920,969,151,695,264,513,224,141,737,804,379,439,024,305,809,075,462,929,306,656,230,859,193,879,283,509,673,979,778,876,934,417,932,520,402,714,808,420,397,288,146,313,395,625,561,891,622,263,789,819,866,945,193,092,989,897,459,862,105,468,021,851,952,092,594,812,925,558,404,125,007,935,401,643,505,336,281,137,248,749,539,843,525,225,007,147,173,584,458,893,997,578,610,625,955,105,581,396,534,196,579,748,321,785,747,353,592,009,841,639,903,368,405,662,814,034,630,972,786,038,358,918,197,870,001,409,008,477,844,846,180,619,470,502,101,278,976,364,760,011,649,502,110,364,133,203,726,591,835,024,738,437,688,854,601,365,029,892,114,573,518,275,148,258,024,152,868,001,617,980,133,255,867,174,385,191,785,900,411,352,895,357,210,385,556,046,941,966,461,007,256,088,247,261,940,884,412,339,681,970,282,282,470,894,183,048,431,379,666,439,939,850,368,735,335,390,706,927,846,514,327,902,173,573,472,229,746,010,861,410,697,608,516,585,748,076,985,377,556,828,448,460,771,985,948,859,801,385,274,922,956,627,718,592,296,000,428,492,784,978,097,752,706,102,403,046,940,556,665,206,203,208,336,623,599,233,576,807,912,024,709,380,990,178,497,907,044,257,381,214,913,635,109,957,733,405,682,435,784,973,646,225,896,175,451,661,611,321,487,904,866,449,939,009,913,841,528,109,159,271,167,306,365,487,444,992,523,056,606,547,141,996,653,879,936,178,809,912,658,363,760,880,695,623,915,587,271,305,469,463,682,949,370,187,189,281,214,520,464,736,833,964,078,460,598,177,901,736,126,336,251,595,530,463,870,970,163,210,941,452,198,779,448,665,743,272,880,290,553,753,115,965,310,189,529,287,759,935,981,701,338,303,423,636,552,257,478,505,217,452,243,517,590,389,172,316,663,601,066,323,114,649,030,773,513,289,927,833,405,421,151,135,831,248,362,013,488,223,618,813,000,279,018,873,294,441,616,594,814,589,799,702,394,966,004,451,915,039,367,634,578,075,879,183,041,043,396,424,120,890,022,313,678,556,451,711,248,759,504,086,590,825,421,892,781,902,121,487,267,465,942,527,628,768,597,108,287,441,024,356,153,689,648,472,269,363,076,109,071,068,206,779,043,022,284,336,291,183,250,412,017,216,329,177,187,117,550,771,861,361,208,088,751,781,705,949,550,063,585,354,944,191,032,621,786,434,706,873,400,164,102,248,208,808,160,999,688,272,575,085,950,399,322,399,254,923,542,737,673,641,262,120,801,735,250,464,105,630,126,347,873,705,001,748,415,459,323,589,279,144,217,509,062,782,375,171,548,110,005,706,545,000,436,183,703,539,044,131,365,028,885,282,445,667,530,819,674,434,537,816,562,180,761,252,983,916,893,143,517,334,697,819,517,267,553,504,760,531,702,141,655,724,595,678,111,071,987,244,366,712,255,106,368,741,040,936,708,813,090,584,889,136,617,598,506,307,823,840,099,292,254,197,356,838,703,365,728,375,052,602,386,254,816,543,779,227,650,550,712,132,133,898,925,422,615,800,637,190,006,653,667,496,121,235,670,978,497,306,608,188,094,181,816,868,921,500,783,427,273,782,912,625,243,452,187,177,019,685,372,394,658,867,489,538,330,496,703,122,187,790,048,264,833,725,846,981,167,229,097,828,792,742,030,002,973,708,436,113,530,113,799,961,129,792,067,653,410,596,951,611,772,817,562,782,183,445,055,562,812,088,641,419,498,990,491,126,406,366,049,034,684,770,831,956,508,075,647,886,327,503,984,415,458,304,596,601,935,015,938,206,445,801,412,480,307,301,094,934,918,360,063,849,458,098,780,563,112,443,945,176,400,635,703,889,092,417,326,682,384,157,718,043,023,930,059,299,933,086,112,737,556,404,294,977,557,870,420,834,886,484,447,998,953,762,158,298,235,743,684,435,000,051,087,481,273,918,083,996,453,896,467,276,463,612,705,488,914,031,814,599,373,529,840,500,683,762,294,462,768,800,276,183,437,356,043,593,995,332,477,661,064,950,475,241,909,267,719,945,529,434,928,802,773,397,347,986,153,272,552,044,723,203,526,651,944,222,216,834,811,132,892,495,362,807,505,740,693,822,389,625,747,716,182,155,085,961,657,970,042,049,364,198,829,688,005,723,146,969,724,065,688,860,302,144,549,737,629,618,478,861,870,987,673,224,848,188,620,043,559,402,933,198,849,822,924,244,296,574,586,139,837,320,617,779,846,080,195,460,448,775,933,944,684,581,626,566,766,773,967,702,497,922,498,930,419,490,805,567,485,088,121,760,271,071,924,700,200,974,263,660,984,897,840,176,847,241,416,605,625,617,058,228,784,874,504,289,815,998,629,574,711,739,928,584,985,883,765,994,757,073,988,352,621,375,181,246,080,848,629,103,793,161,992,954,110,474,408,827,392,943,560,988,289,032,351,171,071,444,630,194,843,621,790,932,633,761,817,904,220,686,140,054,579,328,861,400,831,824,706,502,449,135,102,069,833,091,393,662,683,697,374,537,597,277,607,773,378,388,949,893,526,390,313,515,805,002,727,745,871,719,547,639,284,440,492,469,067,912,056,368,971,572,107,159,727,716,758,869,890,080,102,238,997,962,583,951,134,427,906,769,697,691,630,599,321,371,913,098,866,964,180,611,631,956,078,496,526,141,027,673,535,189,472,175,463,514,155,944,356,831,477,534,395,189,157,095,272,959,980,154,717,718,735,835,895,452,460,378,691,272,272,497,012,774,400,554,480,661,372,835,305,775,349,856,142,314,311,637,764,733,012,458,446,473,234,019,799,477,972,586,418,373,697,181,326,463,594,681,166,844,491,041,887,551,047,450,744,599,551,355,364,152,673,398,788,370,570,717,483,669,426,208,703,080,920,541,744,622,862,393,115,403,833,031,482,935,568,222,600,710,039,294,175,592,777,666,833,987,737,392,477,142,473,664,241,716,266,971,547,565,968,770,596,224,923,007,486,161,887,702,331,409,108,420,565,190,872,848,215,108,437,771,776,213,876,539,077,155,851,745,517,946,863,111,280,384,347,420,208,412,484,220,669,229,089,886,821,796,923,605,124,200,161,614,366,559,521,850,729,802,504,106,865,369,929,197,249,784,432,299,362,644,676,280,119,900,545,700,631,830,529,019,400,054,302,571,454,871,193,285,963,422,744,882,910,556,303,517,807,709,496,305,216,007,870,120,789,348,651,199,664,825,087,890,947,134,003,028,923,569,591,771,151,011,389,320,847,888,341,865,809,743,923,551,756,781,481,397,576,031,205,729,436,929,649,788,563,812,333,588,185,789,681,968,040,547,614,213,916,523,187,452,016,014,406,592,605,948,611,297,600,756,672,921,689,639,726,994,557,088,734,783,455,636,531,818,853,856,582,911,066,583,047,608,643,366,220,076,846,888.11146356243562496
$ 27508003336247927493156390303484958293792014072311963817116648577061773196931941558262105060488028469874943563434011684464242202359828845110930079879557704366901536542273342295320570573880408471431406391568562540988417855704504706346622429962298972230141945247063971327609858643159015882542639559127698552144199643468121577695251334203510541838975211167471702990313187388671145830710213371379948057530490386541961708331099012842019892551479215368000164761202975628551823323066812925768744147543563333762002700314657784724993889369198406103525147853583431380367182378748145786951213764614403555797908334981118387199306145608623980241794368591779490686000320100504979869610497743199603532342296448330130025848102215504286427626483197435839386228473386560178325162385028917311984915003943465029491504062329750065682884328434830288464695345696341717149533730074726374770949964478565931985293185578399727251339632390209203336506212909326056523406303541111208764421926431988977976910339337691652977257862378078452453050089400729568534170644089411309415169169208832769717371123894783564639637971163524881565357002992311104259676031576815090427649771313226577799327409384403274424878218441340435931310190793686420230114629383679154343356990947152681924216035574228192846782764515050926150128928074666455752780188756480453132757569318909282660969306256987399957723601666778989803096548897544605783178141655711755963349524577902316867619787155615142636702772131363694291085980013390637172702920323119181334402477254384666367893668138418223110144798414755351727432411049796959993450622427642694821586419716027786637300018756863036374721309005384402489497797748235565359118650634449906739772552591642780426569279985085195924823088767056341434758844377742805478360588108853471574707164734515448275208885335801880503968158794044016844638788869183799016205356338313498045544528005420596896301641248829918248891647360012230753963903442102530751944763414896837911831247300188983218956873032853822805288042775896050188920897795425045292748767173581778926857471462971973444929590749464785037137502781493582596729103576817429904693046244609470945508516526246817273309522926239653171353739047974728519007963337177567114538519511226331213360307890151475111493948383722321840039732767985979480217186300593767796981501843657885517542000993053180237189653693037933846109294010991771379027205170422890746760469828420805844750096400462873290854989875869095242635493759476719163470593084955992455354569620287535666065493239072897647586020348968986787507535099196343542344106033320371746567000962668161916231209573081015283319580806536354479400001431611329260002164210379545586352853912193181160900733967072678367162689944565999560391649780403779751913537150663213338681545607131814508489151619408156084211370970098120018879492786864582258818208130593057461404131942364035880441925207127009322680921282082373578486545710892208590376002292584530124916752204807077421304243400836703519452980524377618586808329945057299418871386271455246545082834523296200663222486844961038017741446155530433670285079584135120340704947422988768998817780800918710250055364047415611279208391984379345887286726080109697522025006591278338399806826314002225713731343286736776945531395908963777698956419217860481361390493275350936764076317364807827310883200077270133033135874795937637284185819751067461500944349084950696545364500583038271780481944765328634668691617469431503833648807121422611289957807386828442867030159536375175910532915623722367426334904652760117131598093158638005234623667919066431534927626777842484195318193176480934783277977177849006284461450233288434538534583214299194758628673483932465425957935844276570349637808774410783695440902329864361977496464814121117874677904128351863861436739942729643457636107802662732232914324824205112271155801170533944208015997116483314918718544558082578289603547316262404553201232132458525545944740570422799745548858613615016617465356191390622992065762381744097760227152911701045654897054728050096206596949124037489480654844262796673470575423505508340658104228763981407930587147800844351969456130179609365297231680872013559371833168891895858544654957258015365273388218355882082964422390249209594248794170913744949387002389524176311901407514973583680906933689608015574710853708666809879354780730947529202341002340120777845010073916264187110945492449285540222131870339868457337338752300128107378779760438934779198892323862880671488400373733722890993773491629278832490374233388461196127762571828929211783935576995362938925668325107848645234562921761313972393249299924516532094698810676356076005253574935512772395386065960743467953226281711604055379941399027461029226489925372725313344066226227471358779246169097770483780798796099764559639199517569289089895481285585800845244413146922963595568049656501072925209679873154906697732497324699806360334583252564200780026880751378737112975213406245662596936509809054690595955786980222722497805775064512794077072292874156505771628415098416080570595567741215285327420274293537586599481979034917026118017497689271302986906956245360687405780137261739803569643664445881549863843086499391090176074208068656606250601982846507271778221307834638908337903212204838034147543037077499204134542275295733402666480894599564706059076685941725904243405143558088830534825283298057464148190088450971589679028616627805710417026480556107118976031339473074130514387258977006837708262201923468638860208520424013688951384648157652597862194278284317362542222973272236950300145199618215115800506606933686819651914457951439755733701503198198767594093138641187826125461200585805867617615215613793994581946188452185859465303659944244352710980857918333874920754661946197764226028847081249147505754474643599372603558993449377979604480785053610431002117968552558094408433603689599135740963594245581575283384790319599292004669221705453112939797122164869556182295200893798621448831171959414773814727369411967305725055662154965328889843752059820239965559011405331014715165563372174571123535573431387584769852981522262393243751073518561588971958017493706536470772403657089235047087988374862569349757684556262772713092445328694862016859026672767090776213539700927002154167733546817373804893535150305763809307364836054530434196756748762912484714746082239360467562667168305023862988514887837711242995025045675968277944239261483110836741954142149054152408015443740794229397663920041682964817726027087753146132851224959290472304771106557224006309742815172218108969571100107410008211437324970417395581879381130204032180156734283375891519633519665871417261745642283446773554513750247065071221845674335825663459793266484041699427782812234128309598824823312134012428588761869931401727815612721543966073394024307999197439758754015791541527011557712842589113263303380267964924979916120879394411637184839936680065574060525875442300457182047925205480210784599820532480503857218743413267387425925240917012674623774840667938418448103133744737270668566937935786569313558899158844328860439590491805617207281566149178413142972527191030393490924046594698190146412934511249236581552267497277021623472596324066472830228641039608195190011326263402442926381049754643292048174091940348655029040938744755056974815733468760164676051708138137705740415923859580720020820774623206820911695118575066408335672204041469913241477709904215887119017511764112501947541115089584379712073400055576934850766605454639558276344359011248467706441282560462840813941762972004593434467266718749738300919796695097084360096387775685203681958039568798857709253024726659389191337932300426765044640745546735898180170980387255501981113358570478572741035741628077811002641397000123634978216951430757004588312775539109366544672415528549302934837361606607000456316405447747426216023877278719224338026321869906826880979773419392294758537482915805725884742471710835549473168769508079871943371702210818976548418851408814886703119428395714139528620957645132319090237338765540665577095557262416247390125397672351817851280039571828336609878988243743048472101873214300728899865289386699298958026309894104779176064654483827289191924216317025910276799993541369626373816697742378883265853594625042733012074169003949706698677109545465866290894069340584748490249614430822655207945838066860406609370455375485504888776833952994671290772547688099046965335814961412466446827536635711805450308833563653966776194868824230584612130742747697788080468465890474931389554402737573400590136132688172929243592249425330438558405982080839377227194693972463628528488366144200706642852410697179393394708605856259507724974484281808319446495371001304173831238915422161470388482064736990174754639543735407230614015025426076280969312768601182476511041142874988330368505565722014976634318141406892805525020394581005098502810600786360961286569293096408157958135621850434659661540385101179553869545724453738923389058717597697964703645442979213351516551409108604696572245121422117316541133698342224936539371319280436417929034609519512887897853341622357809218263578529632419443543702979373617579089544369105115931550533402874755461134675956307525246766843813415709257393115841924139449071451050720452233214053354911060905797093136191181702048543730318811807288515894591767696622380170087702748587690029995861652041468710301417203825069686336375801617955625914746252505462065062732377273499425706263189405382173126854144210360875775949334171577493523036933698969927202331250441691931552554944220955938349014837591948401229337184937626828928233450462496793614323981432245668452636871927112556546588955045479833051945448921371725808078712706436895615930828666586522004285759795625221455328360735949543304885224020309390001927013378574000643900546004451287967960545791226781039012101840666041279918592286262245856528878936149439090279943788463903465578788379919326105720.09
