5,019,768,790,200,612,134,579,607,334,511,051,885,776,548,639,621,758,140,984,349,174,593,994,667,233,516,987,083,116,652,336,370,195,217,537,070,300,003,180,674,362,205,791,865,813,580,145,206,971,786,659,148,977,711,733,823,101,105,721,573,815,363,899,099,940,620,418,321,712,812,647,543,190,645,094,299,881,266,205,685,561,648,894,267,788,793,076,755,197,177,669,152,192,011,215,884,630,226,767,716,146,277,849,800,866,397,123,622,185,066,864,136,754,008,565,906,074,753,858,376,760,751,896,144,313,799,417,406,957,717,534,577,735,992,053,625,511,482,363,927,572,560,705,868,834,085,569,758,609,954,596,523,835,906,056,808,646,106,441,314,821,692,152,779,897,666,782,356,434,124,694,615,985,854,426,108,879,955,891,063,839,471,315,948,711,753,371,114,687,611,729,425,782,584,222,407,766,945,823,279,587,752,544,996,174,304,558,771,454,115,581,118,639,835,998,970,808,868,401,861,425,928,951,289,319,659,075,861,596,014,330,472,372,676,720,750,538,448,761,976,238,244,440,789,590,184,016,962,494,216,702,976,830,556,960,523,052,694,560,597,649,406,178,907,015,558,211,962,844,030,248,976,213,064,222,497,768,052,881,498,654,682,333,748,565,335,048,154,400,871,685,026,746,596,638,792,151,495,226,561,866,185,385,296,225,619,338,617,142,661,270,701,419,944,052,713,493,536,193,047,643,725,858,033,453,257,110,934,970,401,701,372,715,199,251,721,134,455,012,408,040,241,208,109,017,680,893,470,682,809,472,182,518,669,734,059,354,498,836,197,217,610,734,073,589,847,302,857,687,628,761,601,291,254,672,640,246,835,518,068,582,588,237,336,877,636,144,048,129,688,829,253,490,750,798,785,695,745,558,038,447,061,282,473,541,319,623,324,150,626,084,120,836,636,800,238,470,594,773,839,498,933,965,516,925,678,199,331,591,507,563,334,313,334,274,614,629,546,352,182,498,982,453,094,508,014,615,175,565,130,598,189,054,220,158,654,617,451,949,448,287,121,816,340,681,552,209,205,976,870,873,384,359,071,897,506,451,747,277,449,812,568,065,843,239,420,698,700,173,359,229,500,584,311,117,664,153,045,973,080,976,374,791,693,650,798,318,244,833,368,547,625,035,418,269,039,867,137,543,067,321,317,977,764,549,229,936,954,392,335,355,932,789,193,441,372,119,292,408,863,089,814,469,470,977,034,610,085,064,917,629,215,969,066,115,097,597,998,061,418,984,935,378,280,961,362,402,173,973,363,430,209,090,513,437,558,668,790,383,499,096,050,030,849,117,980,548,909,454,182,716,034,376,036,323,895,813,375,671,865,342,349,688,250,163,286,042,469,572,361,959,757,788,149,041,877,696,717,913,571,058,734,161,146,644,999,530,046,879,917,894,042,807,117,055,470,602,478,020,249,544,271,011,768,062,094,601,317,464,102,064,377,403,364,884,034,186,044,123,987,057,333,291,983,594,872,360,845,498,296,729,218,734,781,275,138,052,856,203,106,199,308,253,198,418,583,224,309,676,153,446,298,765,823,943,945,990,457,972,721,467,624,182,662,603,699,559,090,215,855,068,283,441,133,268,699,467,754,484,283,371,059,188,282,031,756,730,341,758,121,160,441,937,931,289,134,770,732,885,638,050,709,724,602,626,474,245,553,118,552,665,330,294,409,627,785,928,992,378,285,655,944,195,648,980,640,734,866,274,242,798,957,498,624,075,492,873,888,159,178,295,304,724,266,135,641,174,186,716,634,109,315,850,910,257,427,055,221,768,072,157,536,211,858,853,779,101,628,395,870,970,270,827,598,833,894,138,643,941,468,358,845,207,307,778,472,788,259,439,000,153,449,779,364,040,778,197,027,953,722,144,293,571,415,403,273,317,497,227,387,059,857,272,808,502,699,896,915,478,568,077,712,468,831,966,806,441,197,993,351,985,742,361,489,496,567,503,240,129,463,502,983,010,781,857,863,594,370,224,779,404,726,484,220,635,381,173,964,749,362,719,687,146,018,062,564,961,787,585,153,610,113,307,329,207,088,171,544,044,421,343,947,541,352,457,765,872,818,208,615,321,966,439,309,722,969,333,520,090,194,566,121,600,719,973,285,819,114,810,530,218,556,012,227,163,082,070,540,510,598,095,551,971,078,460,521,889,484,406,409,040,139,667,412,686,064,578,334,386,244,827,842,337,096,737,464,563,594,867,941,172,929,939,283,132,153,446,575,156,870,019,264,570,910,806,472,460,827,517,622,062,835,316,220,900,169,247,964,080,116,832,727,751,280,315,506,404,619,451,853,319,673,675,230,178,747,648,055,760,766,175,924,137,512,924,860,679,365,498,510,533,841,804,422,941,024,692,707,379,514,111,006,264,890,675,039,368,886,212,560,699,416,692,276,404,827,074,465,369,028,299,342,649,438,413,744,786,936,166,872,925,183,635,731,510,871,226,822,259,706,202,027,271,501,694,549,987,172,909,631,380,096,613,576,929,865,192,630,655,869,452,683,801,134,109,434,833,462,851,573,147,795,363,736,531,715,060,575,695,339,635,804,604,575,087,180,033,836,483,051,446,464,605,946,591,053,375,287,363,653,143,353,614,541,863,228,958,743,265,371,311,192,180,370,002,493,004,956,314,049,316,030,428,439,570,756,680,902,704,093,314,811,254,054,231,435,810,911,274,706,319,747,634,917,363,488,869,931,727,572,887,931,873,949,999,814,552,080,802,040,419,275,479,040,028,839,931,801,234,174,835,153,061,002,998,458,273,227,312,532,307,373,443,213,400,004,217,707,507,437,434,278,362,362,329,386,274,839,389,567,551,250,856,267,379,424,834,391,013,687,882,070,276,547,358,321,617,873,200,582,771,310,908,271,296,345,300,959,890,455,122,846,576,642,496,861,611,623,750,916,249,080,044,203,382,452,417,339,555,969,758,331,572,410,481,158,993,897,716,458,326,699,153,470,650,065,867,023,337,738,002,278,940,614,875,309,817,873,763,358,826,202,708,715,521,104,479,524,360,357,265,914,307,451,087,856,774,033,350,527,322,003,796,257,773,122,999,939,706,475,442,407,062,181,156,752,642,019,742,784,831,017,100,182,667,705,295,321,404,249,661,776,147,998,283,290,863,992,404,512,582,259,946,497,191,920,712,332,761,468,793,799,358,212,285,822,376,417,668,542,444,325,004,138,001,659,931,964,890,451,620,356,972,037,910,447,632,089,948,818,219,461,036,265,149,177,498,082,177,362,143,990,524,766,352,286,290,867,773,045,521,182,944,761,105,406,470,828,549,002,658,730,581,220,650,409,065,463,116,657,928,173,689,144,587,790,135,810,502,321,788,978,615,915,862,244,132,405,885,645,144,372,713,167,013,185,115,270,852,598,964,929,780,690,742,764,320,518,355,644,969,846,763,873,670,751,598,039,737,792,541,959,189,771,660,502,651,235,796,952,901,520,295,207,400,974,260,914,834,967,203,644,819,784,107,059,328,317,184,334,727,476,675,766,666,263,743,838,126,845,997,722,409,758,682,948,332,330,306,662,950,978,641,985,911,839,053,368,453,303,397,989,063,505,865,328,172,151,237,443,784,884,614,872,096,114,723,266,561,537,573,548,858,496,145,612,101,166,186,965,015,718,606,024,916,174,735,196,729,941,519,918,094,306,686,940,560,926,925,268,572,394,200,163,744,806,115,771,773,674,929,501,645,898,074,805,060,592,736,810,664,885,771,137,615,429,936,572,682,936,531,128,841,324,813,914,580,929,609,598,277,649,939,872,438,224,158,119,485,582,342,720,569,508,655,012,078,180,253,374,420,068,999,850,196,222,807,655,617,897,361,915,587,900,377,671,816,696,953,260,331,320,474,396,524,398,791,568,747,380,274,593,473,256,130,588,006,743,030,855,656,810,198,501,300,199,453,532,263,066,874,413,019,812,228,933,140,373,782,190,169,307,517,603,196,891,728,085,550,529,661,533,375,258,605,955,056,682,039,688,976,441,876,159,144,222,613,452,517,540,006,022,172,070,004,190,030,927,042,712,945,176,666,022,677,502,043,706,635,803,003,555,325,953,268,679,990,745,954,246,856,663,049,300,074,346,045,224,337,004,866,030,593,824,598,545,940,329,614,263,582,523,182,658,335,389,227,316,299,896,852,145,229,294,461,172,750,100,627,416,289,460,653,388,000,351,500,837,631,213,522,467,421,166,930,452,339,037,937,248,592,939,425,883,552,585,671,476,684,226,083,876,862,906,655,093,506,753,857,220,256,852,554,012,264,608,446,705,795,180,046,280,720,874,543,220,112,927,879,329,904,842,139,807,442,244,551,513,824,296,544,413,267,957,254,698,735,061,701,976,850,829,268,133,699,691,570,170,696,480,415,104,782,021,943,562,468,997,853,563,485,625,191,190,945,187,174,109,474,353,239,847,757,353,707,805,136,107,368,714,135,120,997,330,146,995,000,332,047,233,274,997,347,634,398,367,796,974,057,921,522,617,532,064,456,733,638,938,516,203,351,221,624,830,894,589,987,712,528,565,551,039,292,907,926,830,764,775,585,195,444,629,665,236,534,894,023,427,540,380,212,357,818,333,054,139,385,783,734,912,230,802,438,902,357,066,985,082,267,434,333,828,430,159,361,431,111,729,239,148,551,555,305,676,392,104,259,085,368,478,734,723,555,334,398,338,261,304,565,447,109,627,012,285,159,028,011,576,163,292,476,684,176,586,597,400,959,935,038,871,082,970,092,656,881,844,968,075,992,387,161,160,058,273,816,618,751,508,887,040,225,804,851,143,164,837,033,613,302,622,545,130,668,351,471,801,974,120,442,685,053,942,964,035,508,185,749,637,944,999,737,163,403,099,294,087,434,459,804,409,717,236,724,276,424,710,742,355,109,162,722,928,265,824,905,475,613,794,541,246,503,957,951,958,388,241,003,285,471,154,491,805,905,957,053,447,535,851,454,584,296,311,087,523,686,396,073,611,044,652,856,765,931,952,049,496,371,239,770,112,644,833,149,978,437,681,667,221,195,970,235,873,128,954,908,956,656,841,879,932,177,796,199,093,986,390,247,343,862,269,069,097,404,921,237,864,600,573,039,695,280,769,255,611,008,329,885,705,448,349,736,384,398,814,287,444,000,826,133,522,819,151,263,991,266,042,380,755,640,294,937,426,500,783,730,630,111,500,723,279,094,551,024,215,472,756,499,952,017,975,411,010,860,446,471,585,113,376,054,480,511,801,034,881,428,793,226,077,750,103,566,672,149,840,677,308,961,266,472,771,709,691,821,128,897,094,066,573,976,303,795,483,448,038,085,257,734,976,624,006,526,317,342,022,239,832,594,902,770,438,337,594,036,264,644,133,846,428,468,596,128,462,480,392,923,223,141,198,322,597,331,693,986,086,769,615,017,056,048,054,236,530,473,448,737,359,482,892,367,660,577,907,504,353,426,870,136,782,636,471,060,448,864,370,274,390,978,607,419,940,203,790,982,178,761,567,891,104,755,947,362,847,199,101,551,688,730,998,938,643,279,088,408,106,301,095,341,568,553,589,071,958,433,928,372,743,947,122,573,813,846,500,338,891,819,147,557,830,379,027,389,172,334,267,925,190,152,576,078,952,487,367,896,935,776,597,787,945,617,758,888,110,075,896,255,520,841,852,198,539,704,151,685,380,088,733,427,767,856,485,933,197,759,335,708,310,814,776,508,023,473,964,681,879,907,293,344,492,880,072,802,736,965,874,601,047,105,052,925,185,096,432,388,085,056,954,633,276,243,941,749,725,555,072,201,938,253,531,907,394,139,073,884,050,356,792,138,486,913,288,580,637,979,741,374,171,689,372,633,021,104,994,116,749,451,370,047,093,622,852,922,744,553,328,286,906,496,689,972,600,174,763,890,316,458,740,945,687,624,707,930,400,059,583,940,564,153,311,247,446,920,940,146,309,775,576,157,520,720,581,561,829,173,323,002,448,693,936,301,469,422,880,137,214,199,920,229,359,131,660,982,168,581,039,295,800,966,964,745,048,792,244,537,581,636,288,463,662,225,010,280,839,658,559,641,305,530,666,488,012,086,268,791,731,191,762,315,482,447,754,641,943,538,301,328,291,213,583,893,450,423,394,206,537,809,925,971,036,204,460,796,913,734,705,731,198,425,594,558,501,222,768,205,621,856,079,075,839,894,812,228,804,888,605,727,109,353,516,433,956,916,958,080,963,392,080,257,529,273,616,007,893,722,736,930,097,502,395,486,532,351,624,553,935,906,268,738,984,564,643,090,633,115,890,557,803,228,161,464,144,629,965,783,483,201,082,484,908,553,876,551,617,440,379,329,545,866,932,818,644,902,686,441,625,216,563,521,499,198,595,349,968,272,655,888,500,426,623,926,796,458,872,980,013,635,984,448,442,903,351,693,993,379,944,659,284,456,489,090,443,508,627,830,670,522,509,888,444,776,444,552,670,624,272,774,716,172,430,964,553,794,681,780,193,617,164,332,648,681,947,222,632,239,271,667,342,919,400,350,291,036,167,269,263,947,347,554,301,653,473,994,267,627,437,058,508,869,399,909,094,205,292,083,005,640,521,140,661,254,911,507,496,864,355,446,548,879,502,097,759,600,259,853,701,605,090,118,566,310,755,979,145,762,298,990,738,424,353,976,040,955,414,432,806,231,051,909,228,962,087,937,357,939,304,342,926,240,348,359,654,608,081,875,237,184,305,756,106,058,300,022,857,898,165,318,266,437,958,209,387,507,995,543,437,943,330,362,128,076,636,433,415,527,485,920,133,058,654,387,143,073,081,744,959,142,866,173,660,391,321,615,521,755,420,110,644,330,847,448,766,150,237,228,806,801,888,633,879,137,048,215,212,137,295,271,277,235,300,337,539,598,379,043,808,743,995,260,258,528,322,720,643,081,124,119,861,186,471,575,326,097,929,499,352,191,702,405,712,820,400,341,942,583,356,015,160,733,308,819,807,930,576,457,849,798,295,693,420,016,140,802,352,917,926,511,458,128,992,264,648,384,619,007,378,458,975,983,901,274,599,918,986,657,217,878,517,204,297,738,426,991,370,921,419,283,681,846,272,378,904,168,473,013,403,356,106,270,546,713,645,078,079,717,203,284,202,187,399,556,881,573,100,908,571,135,311,228,990,017,908,053,387,497,146,203,106,257,534,010,551,204,424,476,185,531,538,524,209,928,124,649,766,325,762,062,379,419,911,270,968,582,660,617,344,356,308,176,747,925,387,930,883,906,199,871,090,305,648,278,888,566,118,509,137,390,039,054,362,139,735,835,609,924,325,798,821,112,001,728,489,394,526,926,806,658,885.586034872310300672
$ 14274613923641572867741113428809098535073218133253907300586534986146313391203556270788162366289948526460186095318427405103233407164637563296260590223567640920401255890557071442781949000219352662750754065334950530545765290227671646768457063841419335899372132991759623725928888003068112377642350650050576598138819273738807829536128174087788415924797791771682835852479872578955438301851607545832985749194984104750840403773504401883571518912804403270312397458041138517297429654959710004670093252557655608362681308635913508262143321708438127904056002392997934715497072756169819078347472268306127771359571140280901122274176363301466629961764639800065553105436689299154236008175887971124882415801682516100499856270134542593393845071300429534462119037805093770936004892925919486351389787536130838916946061009972071289365583043932620085370975056812488016907019154005054976509393527255626635989817530647413642117228739460796024237628698773731848254417444907394781066835684538166433794220965747893973163788196682764210394007644087863672030552452406515117073044467606069760784905010692183416195283019885019000312204167986844500750656427039463248525976801069064814743783850835132454924735426918878030403781154191438417602052639924606285591562703941533049901127776799983389455501680732428878957110202775807810173838771477661763408082681871999988789666616848264186048970919914073400181284941797251866390703442575963037495294690139158826299177504045827605706077410578297834441929070770517960355438725063799732508630776253684925044095873874926298839094796562668496293022921891375697595972807989995669908561239128411528942829400176017929686842331092001302358799815876686169869193073804693440220720303171019621687982360225721491847854014520774190162476170502173896662628206985685785448017379749770503099056250956361232048547464707351547334615401464060207789638710091644989552695383043635335247735106075386154752488325772823266312304505912185249097646740830700179270590327449568907503920402204655202536898886042032534636097525396067318236413325416197177297017498692529604217510311193542705498622154114715508671737950714795061973778505353690536441129083966918755941311486330252772141239714565746885563709812545460355303178166014310563155769278133178555740056671779809393623106330622511370042071897411760510112339974442162859308624856107017293398539405413722380896404185038405160689564272028589901469587166425144112335395547740757588293812250473087916600716310978027004825120753574191652050610069460933685699627669740730876016065528144742739105652802165102519344155973675239284410242407549467480767152800220340063067132312843233390136955394145129026061752056896330532104005212034078005330726994042457865428821302653727416174992028911487927395931761456119822504203681446566698073547083336236887847943734794423025986446989448071302173560348113732335792747569454618538113987701551238799367974587844735095262810537729438103407090711412808545613598878490699641767165760608477977709221666279909716174491055256550652356256551720145399832214235017180257470240183319117613822393885599413128380550250575346997061844445674308271655839627204215282401033172655664296189617930787898181661997100844862883129805624189020579349860772654501221176974204819615083793478785533167592261883142481369519514271098531722386036516869977273742782844531376127578701804223111272603653435487330112240274190658803805325909063604887638508725309107312050701898603902193339668131453748893626093533358258791006291566918354493820476220631172121673109177356938746322519123668344435304233800858643615437190314041227798931224494217544653755867059093778105328375942102294479868809114925364131003978686097136075187319165666866721571668209984925601813520977151972647306919144069590716785915897170022095944744228903913986825364130310665056573577044240861863890445791089434369129492327015958615839673566215763400485797334607795464869016368476204168784133788467107095705139840989264574486949040302064643590511854583565537798722211732663657121212399189694042184749920171188179170650081362218461109492841472067095366278839336230138429616520081070249749064331109569130592598036732033579023634570747413609821158107520700343900609325722835912335782162039812174284001755470099180056340615990612328093587412831149727988755023176693568888980899639097582377726619923012570013220066422261483364318842297685109094457034656517137142246551819154222613597718339122834929107974451844226660088311791701930140706016325400062068376493450172576141440557996575103081845934908690114546618009895677560310568511337577761928780493821372498583545059522609194240109613902738757062776720091434318964211472042520988934285691722544443383526859958102183942782803319575972308872928146579882301855916988380112854704250619648010650306862478171655448336234659038416129221581626794370718693423688383359979086860698965088846516849995018673049227138392747939017061171788207932340172785474891676701894393936153903416739531015349761061365843994004008842497293949619576443806597370869046013014633936403957983814577881967697039754830280825077396624558625203288832830095884500495170561767454472055518228360594228306530001988251722693760022481764481515807836986954871876135451346984238363779844898581950034409593571207223327383043828666804761955971219333268484891989268649305091595712968509386018263145201153705100169072236959951033598740683694079670916788113771988325592485004192966293698292745102282308979859698468982555436235131913611881817412127491172021383509525280005401701813068578478526174147593448383974396811844946564233180104173976990083402039128875162134390187869766931197705510884717348028698950938345841759262573751738642244311581174572724026661069494477729606907194846320982412725786648795213537786854564943482239646615907062279169277514580619661623481518417112265005094197143103188377809749479529980932657111518849118745959994366447785935160561722899366187280495859897561548872086100612939409406609896140920072895773596562859756875713214629627436386137408758845090546734709980076020582419659182370844874952631768707446692778694084437198247320625588430610806103235960116039436680637033804930373032099924553537985249735841321634356169134193075128240580503827604206916413368697106686620049413703500771174972443988362196128781126313304283629059004838396910258560137084803185993843169342148406992568064720305624855818600563439511485331407521499966115761920691688163294820277383726565683737290955698876566294022458729071051690664531797450918014779734414933156462770809017105760522956167117680055390269056445505682096639825662191237952623611872585521233371681827874125919885780581375572585346217323896115355860848473062729327158424871383525821211415133230968816460933055166203990791202200334286549969994352674558028991289563550501122021570875903800032593244556528223787424263502393428708353064569323530152918844082813102363412073195095659649020051034527411050286126043546629661884280334904383933111044018569258948499501650225945671532972449670174752124138101538842997241183931665378901909829583493312947357584176139932339085406444892749005530438455553974351232998771223117113778704582605843401651406778274832034696206761444833110958093538623119221044206849441363717492518181853481397145641148191252573235600202295344633290124397824990744787458997073249928316439672686088607386027655242676768636715458472780993251933569595374929568755002664758720850226246336481240871854606287581364482954812014703072263430938735067516661469601368989923187909811479437927613272026085681518760013867059807683501602380537064192691121076728129078570626542571202108383053191507983621941293311703170767027221791291135706786147247142148047364152308311221428387083633605211411800456796774940580940552537799735231318570577318629479888036124131698949736562677765676021242652815067032467577712155210577176173949611548024254209742714811623765227746592245329948080410661434397052289788498255868342816143501901538243300258016019320324210382101206661044566189248824478363419969147941590568308041541075503258406538937490191338171533605676559227040253549223486365764969994129766927441782860034407124901239451208100139562766310023133247424848184142637481965578233153019393642342588995181110187824728094637730509090899327376088629765137875228583013507344466036915268400111895011939464971784321433281143437989310266648113400793064367336512205904257957479850086943487439239121540451600893192698729099186379825867565553308402097620328271051626730728316001397829249282847181315841430932505591280999051840998485840438999972857565651844904616527009765547558720379701905298446001801133422489975097815105932716056254181936616526868783707888833285836372682057411925084108134682355014221230806375097230715066247179441718255198149132546311187743736183859593973104268109747894197511776843684983095846034310152020550419841569053315235037777894880816460655199101175627836440977924168113635753884139495090176450949985254090346676245288309872372444372987406029371154399730165844002796637566765516778151540649923294564251744307296209221325403625808605327750482483446391328476189365210860715590737802727234851764281254461774476726043338093264312838375480758934200975917468475215019191115419464282018615426563473329730908680201607250758389449401385406340632952013942925122659180979553925149316464971889642744964468043495840864098436226836487298071158953502183745275396933012706602300162180265345037656177389149096643766450816391990766614595579992117686476841836387673762947398820172330291217751567166998127041003889602018593730540112144480232261071011513898208440712938732979902249507840937366293845811755178995398394300335378728629584808543997178937529340522863998183748169448119446731146481846327228545437992810921980218819223666777127320268973474226765892849378050495911263263620181435643781328083089974371310937025950044619950551.02
