6,502,489,357,100,617,020,402,301,346,830,252,030,761,734,955,854,497,001,128,542,521,101,035,436,814,905,303,674,849,198,874,591,778,098,361,468,264,049,499,896,094,191,193,201,361,152,641,856,741,809,633,176,971,509,531,536,547,410,674,735,350,173,482,962,345,391,538,746,510,066,847,089,498,785,108,559,453,164,847,853,411,688,656,263,378,060,423,411,887,539,988,888,527,429,125,624,180,889,692,231,279,193,639,306,022,236,518,993,693,736,626,936,122,642,595,260,728,569,800,853,981,052,214,838,439,314,378,068,085,136,165,815,366,391,662,572,630,049,949,907,664,113,415,478,688,663,309,929,064,138,013,880,514,124,239,297,733,552,666,878,920,713,833,619,135,224,853,257,868,147,941,590,928,406,876,473,152,603,113,067,252,470,756,859,818,758,648,929,433,598,133,376,610,701,030,258,345,051,026,829,041,417,198,178,925,528,142,798,566,019,527,941,524,473,082,783,573,306,440,920,775,184,416,726,567,994,326,359,622,703,735,211,009,374,431,058,901,621,695,597,362,446,747,461,721,780,338,187,560,068,141,768,953,611,713,608,592,518,619,511,685,049,142,815,135,910,361,817,309,347,482,069,215,101,860,868,145,223,760,159,913,754,439,981,853,222,954,886,352,402,176,914,704,209,158,488,650,792,518,879,422,185,886,970,475,945,107,552,821,337,550,847,248,061,711,436,345,794,280,468,574,411,847,241,539,325,054,024,576,495,392,804,825,496,085,182,661,388,548,589,067,154,383,637,028,159,681,010,246,127,564,404,195,661,088,513,507,748,384,002,062,929,496,970,789,476,187,021,956,211,352,724,472,102,999,386,632,761,870,464,293,285,746,886,609,479,076,041,372,336,506,547,332,559,232,674,088,328,294,949,974,695,135,893,043,674,701,139,337,465,583,231,522,289,543,836,090,478,703,068,090,998,743,261,973,031,778,872,112,363,962,755,913,419,791,113,904,424,101,892,615,550,252,586,590,646,023,151,831,591,348,520,619,002,898,035,147,677,962,748,064,509,029,871,774,627,867,816,354,996,708,853,734,308,364,461,257,076,901,366,048,027,905,386,714,426,149,440,225,474,384,695,080,098,735,099,355,344,168,991,273,462,842,311,800,380,808,768,106,555,140,552,269,991,176,351,467,838,792,932,579,256,743,385,693,171,413,712,606,101,127,708,602,367,741,437,379,497,204,448,118,146,739,781,689,453,384,314,295,702,313,083,205,981,678,420,308,277,737,674,753,494,509,794,535,035,270,682,495,092,042,554,857,005,782,336,770,468,486,922,510,344,349,168,927,286,074,998,805,306,716,412,846,736,513,791,509,323,129,792,247,998,453,442,061,529,096,575,835,015,043,717,745,391,729,209,052,525,522,324,232,391,225,317,635,181,660,346,303,474,609,487,002,795,170,426,274,829,993,884,773,550,892,662,914,460,249,721,314,091,483,802,813,309,287,074,314,012,121,300,964,438,187,187,107,850,754,077,665,349,307,868,533,172,997,758,789,263,638,866,616,422,223,999,694,654,445,122,197,305,146,257,634,855,311,064,765,044,226,105,189,395,484,451,600,170,364,966,773,192,510,102,168,979,598,045,018,336,648,012,860,657,549,928,875,530,835,380,601,944,763,161,777,986,046,253,152,124,789,535,604,982,139,651,501,089,555,819,214,874,530,628,395,164,017,416,106,369,586,558,120,419,366,139,899,188,059,421,112,722,567,869,019,120,209,332,013,748,055,207,360,294,388,981,954,021,575,717,782,924,080,096,470,501,784,823,986,133,411,229,625,915,421,771,088,833,814,255,909,736,934,346,706,123,566,897,699,867,463,735,733,991,180,734,136,440,331,145,878,098,126,124,748,640,641,244,685,415,024,873,458,876,959,479,898,340,266,137,495,293,587,992,659,191,038,398,893,791,892,391,423,048,193,318,220,648,044,797,248,017,481,526,317,481,660,002,798,203,743,670,714,827,911,150,418,487,412,476,891,880,044,036,301,916,701,454,612,032,938,649,581,126,629,532,385,985,516,341,715,896,915,640,640,536,884,710,071,913,437,589,986,199,435,679,239,964,368,536,784,272,502,370,476,045,648,223,224,813,671,228,637,165,317,062,451,319,019,821,944,571,297,915,507,667,527,485,465,904,536,369,644,293,103,746,495,678,655,857,332,168,455,840,148,872,689,602,858,819,790,364,120,326,539,883,389,424,452,597,608,323,183,489,166,016,626,836,342,672,903,407,769,903,969,884,393,340,357,761,226,086,829,920,967,604,228,411,203,459,896,776,258,956,511,102,604,628,299,745,421,051,786,545,933,031,608,634,191,409,873,538,009,171,345,245,288,577,484,763,079,927,785,344,118,933,380,291,352,123,517,149,615,578,493,822,808,718,366,674,615,685,931,544,489,380,787,043,948,165,337,777,189,579,985,816,695,902,010,108,381,389,580,604,197,711,057,665,463,284,088,211,179,033,796,351,420,668,528,138,569,841,305,984,980,890,388,320,398,011,416,515,500,925,051,356,965,443,939,039,138,023,172,742,999,446,586,440,686,823,022,683,539,911,461,278,667,284,385,505,130,111,696,689,590,705,454,094,077,312,799,516,813,165,036,673,869,029,081,668,208,600,118,944,231,006,479,734,834,503,585,485,512,078,807,482,584,963,418,903,960,239,696,602,638,731,389,190,829,213,249,119,366,200,592,735,113,090,970,126,417,834,870,740,451,644,138,081,783,321,320,238,375,505,404,086,068,438,729,368,837,520,012,932,477,166,360,970,239,906,737,999,897,256,778,290,232,464,752,063,536,155,056,586,528,329,155,698,387,645,670,248,704,268,627,189,449,246,557,101,316,716,093,778,273,176,756,290,930,292,115,837,923,845,813,002,763,006,490,245,433,684,002,687,943,816,736,198,551,238,589,330,255,097,350,479,655,805,566,161,506,828,193,875,033,573,777,770,028,222,071,294,998,628,093,529,384,484,518,146,460,006,504,593,226,434,091,040,664,481,335,279,434,880,270,862,411,251,763,645,425,380,286,519,925,905,175,743,099,627,637,822,375,856,153,844,137,319,145,006,884,650,394,948,143,087,028,794,442,575,976,726,010,535,961,848,549,686,149,222,956,702,497,055,470,945,092,320,666,383,220,253,591,395,090,345,236,553,727,009,113,535,237,514,404,750,774,779,190,686,104,914,248,371,670,247,318,411,138,227,073,735,468,343,754,889,418,409,083,333,566,171,937,257,330,246,799,844,074,614,180,960,252,698,272,287,045,682,310,203,936,298,433,739,380,123,704,006,858,445,402,676,911,748,626,299,208,645,673,985,456,857,823,012,910,402,036,897,967,555,492,720,911,214,177,626,939,419,425,861,300,279,933,865,684,082,182,435,730,142,658,976,269,457,811,027,663,766,384,984,774,351,567,005,739,946,441,824,678,056,586,012,781,933,025,535,644,878,083,884,139,154,399,882,712,262,970,125,502,454,460,335,944,614,004,783,506,605,467,073,851,133,716,910,376,348,903,553,750,973,832,572,420,204,693,931,997,788,542,491,233,960,644,699,345,394,696,518,062,801,171,352,564,615,509,334,680,540,803,064,439,368,081,158,710,349,518,354,965,054,431,970,862,079,778,984,331,055,001,055,948,922,636,508,809,614,765,338,302,382,578,812,271,807,793,261,806,649,564,441,710,653,849,624,959,284,916,630,605,449,162,871,445,024,196,763,864,149,634,886,503,239,275,246,338,618,689,903,904,422,678,507,676,052,814,995,377,478,779,557,139,294,499,410,158,233,258,541,475,286,120,110,441,425,917,628,178,159,540,215,424,355,004,731,174,512,855,068,541,144,454,281,108,045,270,239,295,866,281,937,531,032,336,354,307,423,220,071,152,641,748,376,262,193,666,619,394,009,671,122,936,487,583,047,802,242,381,278,297,933,691,447,356,061,024,058,648,991,870,932,526,914,642,610,209,402,375,949,121,206,923,621,342,566,978,280,109,977,126,771,205,128,351,502,506,494,874,792,270,235,428,309,734,984,601,291,258,725,024,298,648,218,508,229,153,448,912,396,467,697,365,808,872,506,116,735,888,066,193,368,772,580,336,059,626,415,956,678,701,805,611,665,508,949,743,540,928,378,028,147,262,612,701,024,916,246,326,679,130,843,406,475,902,708,227,390,214,897,421,576,799,729,409,019,421,414,682,599,583,082,713,067,392,660,359,099,895,991,449,058,770,014,089,477,598,483,638,734,795,359,181,049,892,349,380,181,422,860,026,717,208,525,201,134,571,625,332,611,960,240,149,583,437,601,029,684,698,466,642,845,848,288,525,323,655,400,891,664,457,702,805,253,882,446,243,367,355,083,699,465,270,318,494,479,096,001,529,766,289,313,970,444,683,445,890,643,217,166,879,012,421,920,468,344,448,367,205,493,686,017,064,478,827,629,400,626,390,185,877,801,623,134,275,733,976,839,297,668,716,434,077,713,338,362,733,328,573,333,416,538,962,522,948,946,899,135,830,794,441,150,465,384,739,278,993,584,870,872,526,234,001,829,058,600,794,287,119,499,810,191,743,343,175,216,479,269,559,252,846,792,195,770,960,066,690,381,816,195,441,899,910,892,747,437,536,047,213,366,616,501,135,664,094,660,481,891,052,566,793,086,199,530,573,532,352,877,032,240,308,141,289,092,838,416,320,977,358,748,848,709,404,008,783,061,088,501,302,214,347,374,094,298,933,948,206,782,955,936,081,311,971,225,628,603,206,047,849,432,077,325,967,539,176,405,851,733,134,845,593,802,842,194,531,661,656,714,080,086,560,476,095,988,119,942,625,335,854,461,493,353,030,583,955,311,041,230,679,309,219,381,019,021,046,088,066,371,828,536,803,874,591,494,609,873,032,581,906,012,970,613,360,990,847,069,486,271,782,133,031,797,017,157,813,659,179,792,597,213,578,704,868,162,697,680,067,639,696,603,935,993,556,995,644,081,151,183,458,682,145,278,054,130,488,981,959,561,509,139,358,060,908,938,444,540,673,679,595,686,724,734,082,003,664,276,072,740,017,775,240,526,997,619,375,642,221,189,868,417,581,006,681,738,907,071,664,340,466,630,339,384,209,374,778,949,000,138,250,886,050,252,157,156,608,595,043,711,453,202,436,735,849,388,175,613,745,433,877,500,043,784,241,771,549,653,728,025,654,653,076,424,055,374,588,936,012,954,041,722,767,070,363,291,712,516,520,800,206,466,119,332,002,576,387,281,463,402,098,154,930,150,266,989,831,635,862,073,607,656,437,516,438,889,234,312,783,318,189,435,125,532,952,664,151,324,410,154,740,059,325,173,438,648,803,106,254,832,426,462,725,483,855,036,207,653,834,830,418,519,343,257,333,871,428,235,302,697,734,341,656,507,003,503,670,314,242,498,991,646,830,696,707,935,219,941,943,142,611,881,541,531,654,096,166,663,873,367,699,335,545,606,855,383,889,203,353,976,527,624,244,213,864,462,934,128,911,755,422,210,649,637,370,855,510,693,143,732,394,683,454,237,728,357,454,781,290,680,376,414,304,684,540,539,963,240,887,080,213,087,178,767,368,065,024,222,401,893,418,016,718,191,725,242,979,520,073,281,857,234,141,744,454,507,240,174,253,536,213,923,640,727,559,146,867,716,154,871,630,822,909,489,148,295,122,887,535,148,336,626,690,801,948,818,445,033,433,741,727,442,274,908,493,142,421,157,563,932,567,013,860,908,323,514,177,663,205,962,887,167,269,321,589,821,842,121,116,774,790,257,805,990,149,576,015,882,414,242,353,428,004,525,603,722,738,640,297,229,309,449,648,594,899,319,928,270,231,905,048,338,926,622,230,526,163,385,562,852,002,705,056,155,215,393,491,734,952,251,319,744,044,951,171,021,220,696,179,248,997,843,382,094,244,115,864,353,069,557,001,669,095,508,564,317,825,422,760,885,208,135,695,946,549,099,259,324,412,914,532,564,089,171,786,968,448,139,674,563,941,452,156,699,753,808,386,212,361,992,893,640,433,431,718,796,170,852,390,377,968,769,725,996,493,948,995,839,075,234,273,654,610,123,994,811,734,705,247,651,855,346,663,169,064,352,654,429,951,177,645,364,745,670,834,147,745,740,966,413,786,484,312,689,260,986,749,645,405,883,610,626,917,415,533,430,207,258,746,342,160,327,834,960,302,574,336,490,099,189,946,665,461,361,115,816,892,082,150,067,929,393,237,218,054,518,847,096,733,845,592,895,675,094,923,278,868,268,645,535,191,264,795,828,738,126,786,760,892,606,561,156,614,503,699,046,771,352,751,480,890,151,300,143,434,293,368,915,220,474,894,652,615,555,478,100,909,113,773,453,222,022,199,364,846,903,005,808,197,157,443,151,804,127,169,102,282,553,536,778,578,310,153,284,210,614,517,380,057,596,047,723,245,380,390,196,386,223,265,757,950,219,314,178,159,594,302,145,807,185,905,449,341,234,049,056,827,037,796,949,849,139,990,671,969,522,778,084,255,737,576,489,218,047,882,329,175,389,176,238,379,289,790,574,797,910,807,581,047,930,961,650,142,759,506,058,987,029,743,099,508,257,656,620,824,510,325,148,919,553,966,513,580,543,244,237,508,203,463,641,287,933,063,788,400,698,875,249,520,184,940,223,874,449,153,028,728,728,738,882,856,248,208,618,549,892,440,898,733,972,956,346,164,763,589,971,680,404,384,121,043,298,079,739,997,206,427,824,205,997,123,012,461,079,794,967,348,058,322,975,634,494,428,483,976,680,343,049,884,262,645,354,828,513,931,081,298,534,065,422,649,947,475,557,998,795,686,825,531,815,272,641,194,588,588,689,244,675,587,849,581,875,007,721,601,108,753,228,309,531,522,405,760,118,278,695,168,628,486,867,620,904,534,693,431,871,545,459,970,245,119,100,649,267,675,997,969,975,173,754,577,212,227,786,298,923,831,529,473,292,298,402,265,698,748,925,878,339,914,558,876,714,701,112,167,661,553,706,238,328,183,744,082,105,213,210,544,675,573,408,347,442,604,229,862,425,333,695,809,286,136,011,230,618,278,333,061,421,751,229,066,338,083,012,511,382,813,000,344,891,807,137,653,545,892,517,772,564,260,972,598,516,010,313,735,865,463,688,366,155,248,918,725,599,476,216,882,150,348,715,511,279,874,074,836,311,668,076,771,588,593,693,911,498,656,819,756,973,093,490,015,158,793,851,678,603,642,603,341,788,574,803,865,677,876,501,293,818,774,269,979,221,957,032,989,965,654,806,622,706,005,061,223,737,437,746,998,161,572,088,791,172,843,537,300,134,331,465,674,680,976,370.196985877253586944
$ 48666190945986721928775719832000845458708207226004460635726283078125213457627586869975453368185174769314880835240529829102343989495805355193048289901321329008417250496307089592868281297182388126103873169948180502699661110387460885001754480898417896708752624614943316185202286439072526159161519581870185028992203039703863444913362411412780406526617154155191246343399150228382441054240912285499497641997763136692580725037096936064188662220841490703498984289005099029196721669364211561893563302125676615255746667107550372490019881175427638322942453631737320529946230663624112493742564873078700716364697034984936251298641594747458739745991801075122425092130682997396902466219041649245857113742624203215644800491908273873159057603918445222916617278276864564389352873378931457972471552894133712196622752785766327579310799201702433951183807209474739232917529889785165367878634102468552105830352327099807401498126700502699914887411751127567351553007833383200356647385654123356123599018278142332896389878645587170820567481670630892239959524191591633811004124477762616457334545096335230765483599459458408661429257957205555254514603092152129412381701403682380918278638127680071880495775761808233111548718830158196398612323856153191945255075033416644688380295559821804328650329376434270989043360705818238864616317452937446328047040348789005822418665176592313864069234251957566249590573657315917574321061727530540873425876720568271472460033635518665228279831292370611463576764686513104408910306278157179999241043331248501542943668882064214613804245126921158761696709657807617726976489116940261221364435086304041830184745175293128157418783758555743711474597020424467079669853536316900408024575414897093749984650892374252757067668570762996956396151011068564928819591824052351533949058628739245684059285978965736540916334159945189214578525756727452990794098770595415559273615199913031704171257931989630218316811307005799726311143133633432177600532903490919979374247776046736367481898693063902078725530086858073240060927698226113903921990714676746240958496551085291865747474720584361353959067827241089513283357134598785502681260552044059052298922598311807057163866872448035874523772247661479687402899388916299074245905274286809691258434833956231528865350514497244400732557110260222345706319935514501747167436838879099241841868682751348027660235491030573744705134209677794299566437850059671717221208388278051069979121661215461236236053893586006649889553514991838244318441256066789529766154497653312183975226697119467888766232829124370545758935865295217834354153436887776082998179623937226536873032711584034210359959702922793355502355938526348939059342428386530110743645748408060231956053284300778252257053694665561400758741051165811464488240825323784331914307531774022508617426148478313264487994910925577742323633141211639882258188079470756215418152571480659860912190438290711159105615907823341367279146604218783672818023313679708443937075798938433300093427834763912702856858466065109124116702796955868279233629286250600567826087567572013639170878728095967702582270444265382697848748332678654557663306086670052622938533832486604360717431928109760548938598583154563233318728183868685962111749216911991838897186608417922348600825701276302529203261625798616947605553342113048748137660133552331154741160677006222166929304353634571900005156624225035809949095905033379079883055612963941972643306367855054146314278358550370066178120102845948339289056746954960252836489372914987164832102341387749057187546655713762294076037542214184473533354207171467935890637785114634088920694113461686618297775384346901332899012237571630967589125293124171842799962258941416452990517813123997206004757780859492565477116851875891428520781589762907565427908319604808351045070350889421995983999833120707158782200244100753231102162435430356363629052519958619257699103240406502832129465038823163787507799003694554484595160277216630969726645121899809068409794353859166250488595863841727281274210537556020754868880532322716360534410092461839081936809007081530182737788751757708318399292786899545638448155583890256552503535957152095738277660846446289437826326375871886690417664384518904828051877093667105389503065460421471096562437866097750024171952350738862790965433224865830687884966014808611938633410100573843414233189331790345377164594333941597064093580833997848409286659698801326309265016990437709961654517381598777373320708202189729618297030476290251420530649985538893589314299068915633593306144547340633244697520841552545596762645080443808178007092234907435233072788962894016554926927605682266929158447592971847039136757761928498223300303054427034894822350529029624925778190427011532090489770224690117919160911476900892799609009449315085517933125188396691810192778513615128921254592857615484628776803468346339038683718197979582989490699926999696167731266346279252963658981933604811965065689855081102975164753064693271211335536223791649957154758641743798936177228543967517105278544443442526842728983707894387982623263402963003513369657343543726397636387394289421520101003941781112724193464265482655682906450995391575370137509749516108757261887574700609245536090418178374970508840076733335747694261928147253453036361789160585323447478867556560327459533422941005126177828549683454519658288527250877960126158700703130920108055235644809033617638173450901706043796893481523130295211266124269813449119209201715300586801972850961152368090200175856914942888028959408488114139399333081395965179119402900527058302496654350898407359613007201631051468702028598757803973380868736481518719167407985018223456483210085023762941943878461947606832159514528624099103690964447502844365989805575042703608890249031821675188364504818997180846316925129012225926358000732651339406341179347737307737118347031130407407651987052611594912768314697569430800917643193317159472459693611626885954728489120229458489138053135190160917633072587591649042579928634046002254247774044064636354655020897065344054484754078019926471819258819745184114284581785275507903287041684889397564872755426340388350264988235959051081101414947633978995741565849113542408635431245259429453198725682182808406142526076023276850169526823204042574084989099936081904785996166965882459582643821764988291262495487457974699653776696399774203803361480184988966111587442483464869858694537121004986084707191091515853412527133270135057198307525698617258831556633530406099295405623731775197136786962983666001643437645786747039377616638126799394243615394887012485617661697107220299313232060197798073974149862694008289030372647618996145370804258515183340862137271331934722711321896507693195300579770947769754286122497988485069431722911041920419009079257914933288807258975823845570858341028629161149173777113464169091579777222412723805895104321554643750634166161776662835956537518060805596473447737597862033123493973451232875171095601264794702811412739204677776311369947006515805115913424959455418126043340927691773636302780417438725580740695972196713498465591157223202218695762366484645633737241988949346962300747419652519095054427834215977522384365777366615918032592363013105421326097943918745647147908203456511741603836056472918159956667039429388575287216186771136791211499209580268453898055781862491269199295975902309512666280653242876173529397090498288545661548308392866852694392427613470075063852651338318931309965287106473515172968070124966516401125832441996451647350054047737585695544176081997372326961700374995692225690814485976721213995586817886766976886269146794857442959237732517043313259007186053009516201267201755285873695868878827269353235954936454270052115063236290519806058586914944367577424959057026147186192571561140716234124286286675347818364511177749034072595678652763747415408223676547010556239081903717062801107799969191220008590704405869441258135486955437999889286179957200433038980128183162593133056764919472725289479109256586582399037417281170985352203860783172582519619354005025581716625817301294171911369017410041742043927510137501031000630640606144111461197458743054900738304877958433173889258565442876426008121694299477507007083053740294162408985134091999872832618640431360256779274406929777350402685921859710356438190710390817801780544644139483761924584370472717357352401474647471166132530353998400398031919694374199723850011995523294938952132659961366431512537317441416396910824399882041716852352136195259316540173527372428600637050927660299871635533275038022547342881729270780533164553808029116743337305966585496675803370049687025554891444931421948025667829542387425374361785352189941493622334458520724082067178482099706931981615820449595556522262644212222005731523401627614516281349399944749162059891735973041000177637519313067189361443938927483786781181156649310161399463665282682843307614688370327815822211525515982530382166820420464446405626913087484495063682283987839633155892549682578339600044970252128396690722672800153327700046550097468948937021130107329063732700776696628047092871295847001871940749758804220170250609649349707814077093220313276692235379035491907934781711844686425032023147162708581436917630090667665793860870421757103555897740593798813642894470196906631167118233136112134187699011592570821607354652207790315882175261443328201250086107626141528856066554123078554733970550295393327707330177843275111411046806994420956954843687329857696886145193151394173033204661015706722138127463234651729699306710377145325904809055120918886882713525690263836281305558179459523691670580692642543431431615127418627450134405558191704369701253058651912174310617214136344541560717465030474513737955017513760167482880623881438064925870578141284745852917238686896994216467720194707316697928305221711052051296487072526117634747723090083660990426043250223142349292139704584820552329917921191319413144681083593520764289814447442515603157368928661074350588883.09
