1,356,881,765,252,048,367,457,398,894,596,681,875,484,469,566,939,407,256,195,239,957,885,370,619,812,286,462,524,279,555,146,990,771,137,235,779,281,275,248,716,452,989,062,254,400,989,917,003,839,958,209,691,567,513,728,167,195,168,368,808,735,357,884,674,686,801,382,266,635,538,626,063,078,427,369,195,632,851,163,606,264,390,599,801,014,611,175,717,937,451,167,126,641,664,609,936,908,271,298,311,537,400,393,731,782,746,587,547,027,099,554,522,119,604,382,882,379,889,009,168,395,357,600,978,946,299,250,358,520,377,805,784,353,088,281,487,565,346,407,135,362,196,443,393,165,196,000,818,060,256,593,186,792,491,308,712,106,182,264,506,275,692,221,484,036,573,025,155,328,590,931,828,061,337,372,939,025,717,948,983,168,499,705,949,120,352,725,666,465,193,747,664,908,412,510,751,203,865,405,938,297,983,343,607,554,879,653,277,560,048,713,577,072,552,772,882,273,888,063,680,377,233,551,697,438,818,042,517,232,454,288,668,980,346,083,002,082,388,299,293,898,337,054,754,159,461,953,840,103,349,754,688,659,484,401,038,971,380,414,860,868,582,161,354,114,235,560,248,164,636,702,095,583,130,302,056,462,903,650,497,444,011,838,134,920,347,626,562,390,208,890,207,415,927,834,367,959,223,366,833,711,152,235,952,372,415,409,786,551,950,346,917,726,065,096,351,863,104,618,714,642,045,153,950,124,780,769,458,386,239,112,038,590,816,186,431,480,374,171,477,309,691,435,860,549,365,448,903,380,340,925,705,726,452,224,626,470,074,784,140,319,484,066,505,438,188,866,606,302,432,049,263,334,392,407,357,622,675,225,555,047,446,761,793,355,888,613,439,833,576,799,377,039,627,473,055,131,425,006,693,658,368,119,976,286,971,266,182,888,928,065,014,061,372,295,772,417,988,602,200,252,211,050,602,765,978,310,054,531,873,136,368,148,716,132,532,962,775,264,426,540,882,545,311,601,653,906,150,489,208,507,091,351,233,991,784,924,870,620,336,645,106,625,862,843,107,783,878,994,745,977,436,274,711,217,888,153,100,860,526,703,449,971,541,887,376,333,660,364,701,573,104,805,178,550,016,638,849,228,279,592,242,300,002,814,827,977,179,554,899,393,856,277,043,987,144,814,157,919,662,365,385,014,054,344,592,869,523,543,887,877,770,178,392,194,706,227,178,463,086,520,206,273,975,671,038,654,473,824,349,927,258,592,040,802,633,967,343,648,157,809,651,211,797,389,608,335,740,020,492,320,981,494,122,712,389,861,413,271,357,102,382,466,102,874,704,869,541,055,420,511,397,330,504,278,220,281,576,146,031,593,336,405,487,910,949,955,904,011,890,103,948,141,065,010,553,477,033,182,373,480,116,255,326,211,137,683,187,926,365,376,208,286,865,693,922,410,730,231,547,816,404,299,122,457,273,808,071,003,785,038,124,224,994,982,046,201,075,378,556,477,331,007,269,224,837,718,609,969,777,360,432,279,483,995,746,804,706,032,663,508,815,721,844,580,582,602,051,706,425,906,052,720,961,585,680,473,311,898,918,491,533,515,252,360,169,470,338,581,983,924,421,236,126,450,957,051,846,470,854,747,203,947,798,720,991,039,743,725,304,108,612,367,357,626,969,376,244,476,462,709,158,572,867,214,277,664,725,985,199,035,516,095,639,208,767,804,998,819,693,695,514,156,786,051,124,186,484,635,333,254,200,673,664,478,362,550,287,099,066,762,108,074,121,500,939,395,946,817,847,061,145,615,685,128,075,788,641,448,556,106,513,501,455,051,540,591,453,884,253,728,431,361,023,662,478,995,751,897,189,014,083,117,299,949,077,900,475,763,115,416,473,687,512,148,000,634,858,113,650,911,178,772,750,214,815,350,962,393,400,223,373,925,691,961,388,626,232,628,219,325,211,435,580,686,603,749,903,188,061,464,278,888,912,551,273,840,490,270,376,210,290,044,264,213,052,120,211,101,846,603,413,815,635,461,239,206,399,751,248,209,772,045,007,864,622,413,617,734,798,972,288,161,116,795,757,871,811,710,673,889,832,761,765,511,322,491,033,626,299,126,000,543,649,082,213,609,507,487,324,675,057,317,008,219,472,770,563,012,626,622,867,285,918,548,673,599,942,738,096,871,110,814,193,887,485,525,927,111,386,599,384,487,369,763,064,041,740,711,509,138,164,725,404,700,474,631,654,520,459,397,263,845,302,542,968,821,948,310,496,927,505,475,766,475,568,681,667,765,323,597,827,341,854,530,568,881,102,403,135,160,293,562,263,659,955,076,443,914,944,727,778,961,003,326,089,823,789,769,940,385,603,510,732,868,789,321,344,405,233,205,677,713,915,772,180,319,497,801,425,869,457,668,843,382,022,197,384,874,362,781,651,595,119,087,975,202,130,418,848,580,161,277,578,012,028,037,249,878,479,132,699,145,202,162,609,388,010,592,695,910,034,613,085,494,456,283,731,384,712,565,189,053,583,997,067,422,114,521,521,691,028,102,317,164,431,847,590,017,035,820,216,573,999,047,241,378,489,568,904,910,973,318,137,132,947,435,970,804,651,047,879,301,083,082,451,851,205,870,554,427,244,862,917,981,797,630,866,820,963,806,414,710,440,819,170,361,822,126,127,822,850,870,277,521,532,864,412,916,973,137,857,160,244,985,492,281,606,193,657,216,521,488,256,326,124,151,476,500,893,488,544,056,857,330,006,547,604,159,014,793,369,609,507,278,045,631,617,824,138,408,216,612,822,168,570,148,701,122,725,941,693,829,795,734,074,918,200,141,206,340,695,055,769,005,899,126,884,889,642,635,609,832,320,383,326,705,170,490,045,219,163,785,482,279,553,034,234,100,862,039,617,452,825,024,416,311,887,683,812,464,864,644,262,109,568,777,334,024,335,369,924,272,022,373,558,365,047,361,261,063,368,227,390,097,105,849,862,312,377,429,647,925,751,827,919,085,504,830,192,924,658,162,478,295,668,228,513,939,930,598,413,163,271,615,911,857,895,401,031,865,165,426,199,712,283,850,409,872,831,118,349,481,422,062,975,161,786,722,875,273,414,417,854,694,029,910,818,103,541,257,865,716,675,612,758,377,365,662,636,457,012,291,932,606,761,629,726,197,498,568,355,312,196,004,473,153,829,793,808,805,335,074,156,622,537,540,260,936,915,016,294,416,452,683,759,285,877,473,091,772,812,819,778,224,222,568,850,245,411,256,773,490,336,921,998,406,632,000,218,176,939,712,163,660,125,207,439,919,955,362,853,453,571,807,299,338,231,792,418,773,890,105,566,408,817,439,560,308,542,795,187,860,014,945,490,873,474,461,137,840,392,014,048,727,474,553,421,457,581,318,885,485,257,007,331,636,438,054,212,710,431,134,683,293,501,545,416,978,100,363,663,946,552,889,142,770,388,683,232,294,281,619,269,334,517,606,195,300,200,373,472,970,890,521,235,333,451,307,077,663,355,030,137,357,946,455,514,382,894,587,940,564,250,197,793,858,080,837,629,692,086,661,861,676,906,243,947,381,814,606,050,301,975,762,723,504,631,625,220,833,648,023,505,443,589,908,834,564,373,452,544,355,811,479,428,882,881,735,086,709,799,465,096,909,906,982,295,439,581,724,180,385,026,710,833,617,047,141,330,918,608,668,362,410,623,840,867,159,034,116,522,493,234,528,580,077,001,586,871,389,242,566,301,586,274,358,688,156,912,303,889,989,566,304,681,336,281,246,659,142,650,453,444,666,923,044,458,134,082,970,433,447,002,340,867,942,574,252,001,395,182,827,934,757,577,278,932,325,801,124,426,730,364,885,615,630,560,794,890,681,982,976,916,053,552,371,758,445,455,477,095,389,085,294,621,639,022,993,933,985,766,080,786,599,176,158,296,215,723,701,327,650,212,191,416,987,532,385,400,237,712,146,729,711,461,785,902,312,896,059,575,153,897,175,249,517,786,932,967,347,645,442,523,441,073,468,166,427,835,344,008,620,304,074,393,175,796,379,616,073,515,447,479,395,108,900,252,111,643,443,838,990,065,218,400,006,256,032,759,083,422,885,145,144,841,321,995,872,804,827,353,029,599,456,564,406,406,055,300,239,410,159,319,933,165,561,979,269,804,741,784,561,997,858,785,167,136,308,314,713,393,671,590,494,202,400,162,960,957,541,814,942,662,560,027,079,550,609,967,173,411,365,199,955,942,120,665,922,000,414,183,153,758,704,558,986,802,403,938,324,526,519,189,589,870,815,903,343,900,397,372,041,790,248,019,698,370,619,852,099,068,914,834,610,952,677,845,446,502,456,803,161,953,910,510,973,285,772,709,783,896,628,169,716,097,096,457,435,118,981,372,581,358,555,672,357,826,477,582,642,262,577,025,933,601,257,928,916,155,040,062,656,967,460,351,543,147,721,317,658,479,638,385,812,556,438,395,150,931,841,753,906,575,929,782,052,900,422,130,383,124,972,123,257,017,099,634,476,118,635,612,449,707,823,651,320,229,511,971,961,673,654,830,127,204,863,559,742,340,523,326,038,930,475,510,433,485,621,747,627,168,277,152,368,589,514,216,472,874,172,007,864,677,332,772,915,775,801,905,190,718,612,127,501,758,491,181,236,572,464,671,119,849,528,730,738,347,135,149,602,198,837,019,709,582,438,969,230,717,805,813,622,772,474,207,863,376,384,573,473,548,920,221,807,125,882,860,587,289,634,946,920,573,879,726,162,591,977,284,544,865,701,927,379,511,630,264,470,303,158,997,135,459,047,056,691,897,114,959,307,928,001,816,554,879,121,345,936,293,638,080,427,576,178,375,750,033,761,234,484,722,890,457,388,182,041,713,983,770,711,542,501,358,765,890,332,819,673,374,381,240,101,257,518,939,289,500,883,597,048,711,926,136,726,344,926,509,745,376,331,241,519,098,809,953,075,231,613,173,709,919,477,513,492,456,274,941,264,649,192,441,692,432,496,579,808,648,466,920,928,815,648,599,206,532,778,757,386,934,567,478,918,617,655,652,953,183,081,534,517,579,618,440,576,634,795,769,094,219,394,502,084,231,720,097,400,135,776,223,547,513,868,668,831,791,909,147,504,274,372,757,206,679,031,560,259,147,040,264,268,730,328,550,670,417,249,925,603,848,858,263,613,663,283,624,534,351,570,685,376,079,651,954,793,983,227,636,112,793,224,624,575,687,202,892,365,727,941,642,656,551,715,012,563,772,137,581,656,158,209,279,027,542,317,678,862,353,787,813,827,770,488,086,993,616,583,370,766,115,297,140,472,168,944,255,687,917,904,958,530,759,495,134,314,620,073,639,209,278,321,960,571,360,731,374,181,040,431,862,939,849,290,371,675,674,810,815,767,123,135,614,625,393,504,869,205,282,703,538,621,048,322,892,918,536,838,932,919,711,157,097,026,902,005,543,424,401,361,682,919,068,895,831,187,734,307,985,565,348,688,872,030,996,205,683,648,791,375,034,884,992,251,736,783,212,058,739,240,267,121,271,374,365,361,495,557,172,088,962,812,521,368,574,440,193,662,697,641,727,024,712,104,297,420,773,764,130,947,960,357,819,722,604,965,263,595,930,831,507,889,548,139,087,134,367,211,011,939,455,431,053,884,729,752,293,955,733,084,342,033,361,325,495,531,708,164,136,056,078,916,378,934,642,573,769,691,494,280,625,045,963,760,068,857,846,418,516,572,285,118,027,060,930,291,522,398,462,561,473,943,113,202,015,911,643,515,337,361,935,591,646,413,123,407,661,042,337,990,478,675,789,241,611,474,072,712,524,714,414,877,110,057,093,232,917,381,176,354,971,064,915,375,269,964,668,423,651,194,764,386,866,122,746,083,674,116,289,019,705,948,291,702,424,110,534,380,727,146,820,414,322,800,615,338,711,272,731,965,202,230,284,534,322,963,600,794,983,104,132,552,978,459,284,195,590,997,785,654,931,890,803,725,542,562,794,616,884,877,267,191,415,686,394,246,236,003,854,979,489,342,166,091,838,945,219,934,444,877,033,352,189,883,640,677,563,169,514,949,406,932,660,494,080,318,726,181,295,596,573,921,310,620,916,451,954,589,875,402,692,410,382,728,800,947,017,352,572,225,303,258,882,504,298,111,962,979,083,676,713,381,705,843,140,257,479,734,343,937,723,385,340,779,893,652,246,117,564,618,219,086,276,590,347,244,736,293,441,405,544,187,369,124,637,064,235,425,611,736,009,775,972,607,445,718,439,007,624,226,095,943,547,627,653,284,763,218,901,514,881,835,251,645,737,538,564,800,767,947,193,587,047,509,615,404,222,168,435,069,896,983,964,035,199,404,711,175,226,112,017,952,616,994,701,445,354,897,106,971,328,795,644,195,211,747,191,945,951,496,600,012,028,124,581,106,005,238,531,946,520,973,038,601,029,263,224,968,337,534,666,012,545,668,473,527,434,146,244,699,992,640,460,194,170,485,430,922,056,318,849,690,391,355,978,336,104,748,333,736,823,414,772,465,128,718,180,271,736,149,923,059,925,689,776,343,617,427,949,527,289,396,572,747,367,454,428,773,823,931,492,500,229,698,800,279,035,875,956,847,230,452,967,817,236,849,181,655,921,822,656,601,802,332,075,682,284,962,677,594,766,707,806,564,112,182,107,527,066,450,274,511,861,301,688,960,604,486,031,364,610,352,409,290,608,233,005,470,327,009,907,916,074,625,781,512,296,924,799,155,598,599,064,322,377,739,974,052,396,723,160,770,314,249,947,055,886,008,457,268,339,818,546,582,515,733,216,190,641,891,645,457,853,224,405,020,274,081,924,723,288,638,553,357,257,499,643,509,155,975,225,822,024,221,543,631,040,400,448,203,244,420,647,175,123,703,531,543,820,665,449,616,854,881,240,048,928,031,826,573,189,866,959,491,037,958,037,817,853,256,558,969,116,990,049,915,917,930,925,346,378,049,618,753,397,923,188,453,044,605,015,787,994,621,087,125,079,162,509,949,743,480,380,469,861,056,378,756,826,079,710,129,693,971,534,352,549,717,454,432,058,537,720,364,440,515,881,269,278,518,181,201,673,970,697,651,155,584,690,504,267,567,856,051,484,504,197,127,444,753,966,409,005,147,048,936,688,008,632,204,767,575,616,455,824,474,079,644,664,796,842,216,043,935,867,087,979,321,587,563,324,553,400,822,927,741,365,585,295,941,415,665,059,411,869,566,398,550,095,204,403,625,262,463,632,467,055,789,273,081,126,904,281,798,577,501,574,207,680,663,123,550,173,807,659,669,266,002,999,412,365,587,768,123,344,662,054,291,891,730,027,156,721,010,552,178,536,492,991,207,253.60312787111247872
$ 10549793180074506554397818311396645394894817429408848002648235684502878633750376745732075704579475426864655466357766133966794768233096322258682525667895018844186633153359927259111648899582893300893808838565175854418493262969339124071737236303453488037696883282982553855503674653643277240615987109431587315437044811452296766994692521320391922751586120693099926971340786447106157819733393070101061715696863348652320358040619108368247626511207555219159096441637003802571388871061428239220782303154430850703691874303990774195197195071154683462667674705395279411150061555848181548942104653037763025081271634261414989776698711321749143260187860691516627323561844239468107220435656260073073213375057257227692715796559953784789942954481091332999422414184011821980069116273645001490441728132047658696490111306051156803193039603939716053146349184238022601497601403564001838121971084367687280562738817985351179624770558060527474573367711181939419433864192246118944637331910483665208189967402922721742945873822006390179244457523910691534804089783902547750373532771171241970853552569486660807999674172018546078649386973345611561657840324381822363081864209933102879111987119262653770908570705205193816938537023953016189893724662210387116335166496369919312296609131950830399588364406423066188154130298419661140022755352173219609958957064301623057594554632030716331155370625534971334276559015682769306093025006160275629483072277835452962125434036254858973428027868694951273064830203413881636850524854903491088578270121345434181154620687587164117993123241343357360930379666657399767778223128808341452912227384088886084840354168224135607127428396959137146901522869364957263884236692131334519685481927827375721556362546878087681733474498459345040004732224845139812631111749750937155511642387599262697798957211823082722294093361832387225138840425396843442928775859753665340211847944164596832245810088470476843874619806104302216133053888510552236329310136415008457244581353913811210453834328020286826500843738943011972772223596963195464406960493611818916002979249441263668261058168067332432548854997279810295425177568278005636849915163342472327696174236915269606640553571810191589908422508160003187904186332078498736098596707549929485251938306269789792747804676533048983530809263968108597006124314559606086080367155750680955527269718759194289903025367397072587028088930583683442640653182000308275784508680153665467107480513001836330943811264652188822742635954380995699709033869418646668465257688841171625677271140043375370451041240582807424163418076331318476310424973539077118185212722791012794571971890691562142735278554933299392897417650949354924282491161788811984848413252591076127935004769784273871998384253969582616546108608245822450202893579509366267772764725510528159092365185275115280828000100764121689934061406046305560937463077090775457838280388991888263299103552751326614501874511864734773698830712961914993193032439342423411865463661712376060629074472017934032686281548289002821638515636826375581470566932948379224300212741487530469038473753634864650813948324688773650084074298476530413756295440942253000161496005387300595022358572828499429776208300516778479262173449230820192069160893938539376751783329728137204963661636378252383248000979406708198442971274022909280489096083915820765059455452418523018586450008152589938387399372168454764132798710844463707973504726552059627612846510879940536092019148237547714564759592904057796500404726629695997510997293800161573789866729653468389084330964675088913270523007750388449591113652386423253514362248151394062214563131020850562189538712634003299273817975982894192113309675879108160874397566785886138214453615331793165426679473243850405469713671071159089793909764755915630370340792056675630558861737252750999106676987620797888929794571943649073287126597380253787693587017727903123467117839654365765653119647961524441458930008539083427481520059449728620503434420183728138073237966047842744342469552554315833970717367997937209603341685744055925449593180623833280637046794927694912508049090040083718697478569893294989972784242356107407637632628307705029834510056522410981331674732668383099994779225036615536497778551045821162462779467469247437488474810075239534466249565357425576430083391981194979072701484382829345498854750336150223868436746253591398911484004387751619075597090241501265191577390428407621961410046046266705352636861843476569405931706268340777551185061780877591618645432674435822033594530535041147655124068897739443962909782385344009351879186871294837074258952210715032177133131186835716710985666934477844973544123947373776117043249532507660599367476858573146504508702182568286034814803848981595008183700323255225860750835021362801075674235532523699694101772478275566844532493066100096531285359438960424199517093038354252656634596062053264507555683240807326807347909980541592097548324279556419543261814778450635965715560271897535879808226723513924748392662021523569697724510710361929159343448764740038106304359333539123520503531672510081414715763560947735902489493952315815419187384196145211245460711195550713006848586264623332866734033690851814521411093987855898258964693353317156108614884672788390162590491130291645789827410879281318037470110448450348436225412731870342391978334610584077769352697634840072603806927639177013557913817866180499881385654943721121466800373554538223027645382273279343309500747317540664330976475437378355494253251072761070896187645339917099652690078086658870804630897590924338884279830136511841821072403028381278603848826355224415489082148214341303118126505418339004655780988811526194746509097929201052802158386305834500784980566294318892325746203305076513038589112045913102090148116319146538008111101452108355327918679677259648787710644810805066210235612685154048143502852604294923313761913348428112670264501385023336128712434783924423191472737945309963197936130893192791331465702612385883400495274771932824979590077923669671130458886596979254607764032406079230248238119497030382962104771196059738212227767842436744708746124018552166102718071005863097844623451872886020236245278182054164152189017116411439098400355411513731381796194651650296514647235971044508094695898992760798737791198689849841601887312395591435652166870090786729561157367958259957356434274761778211306770204513293127521929591711176748527658058460796162307909891405573039029473073435082850734282278261743524766682033674447943106619111577772163815560781242972338219659800163994746522060566417685319842087606990424883326444134615407130946551132953687194220631630160098835770300556257309143457841354631773622756442971529205638685272299783517247276072433734610254092915257704094324001947687719005470968674796447924105165243896111564709793592527703431918870918252941127309040660698631682045356344742096689451219468142442789484626700488925867482243835902400728412383018910249429409121161844473776673555985944106622113342644409020223910818078186395885349693147017039369188736987526675345780592119741939217559181806371001251488232797815919716900294635712638393971192414218044107564790329105587106235954998487831468036395367640264440804833985023847701387716186990980842327436968210942214289781923175009871496522429754645828049124997191654147371124292244928803003884657632725550913676501792159840376951697772931893603912292242910286333350363293675848801858060022395374820088232886058710224061251292402379156536759625134648400760985480021991599710644240477805296632692633823232696636594869924675862141462861937842869540814743543441022332309546886467088477441188998129600323344049457077437923326081877324932979430200245021520312310111912071101732870020318366252041435867939682819988379317777842472649517543445671268500087603187166938233257810175594364402466821027061982747825821474513693462472580199312500008301511088984267372288761352380763019892800916054367695242583066636945930952194972125514037648996255632746183979034418462839951920818988033373318663539961356891253080455227015962485061509242775029651691624530024554949951522899557958576908830047155328073231724277055183622005414754260474784581852792040722167330432681730625428756352751122534932420934232098507943104351272544651230078102449940707607817129240721173488482845719749111411382741682698453569900227621093603282314668593689327951607092350854644737937738713725166813211213416374034251586160142518528999194700542765955393483246169570992169406513638085568713184284107155822677140611045403210920323752043553204950632130799433281771985631243713037580144316080035818927143878182384973739741967697307994051610220208033782425660450631626023401126805438816050948790014363207160975372473621799495318977824507766090951596767065177053882483000129495013516775465213950397035650979898479927173371116609657306932508073772172009566512204988378894369002072991650929643900840044915577101303663410466538391876077102047361614512450534929728255381124951915546170909073788163112761828791100149828472917284628809627909524019175011388671423866393419590331690295536231968817815365180549453864068474602275143267421719287335616726195956640968608417603745474415547856990129945774707320365108789645439920011466774487365115192128159005009873753274992021138663713512971571665183388640298839509594430611703230459868986279364176026674229528861164967527523450061133964208479900264107570225583299220846529938371669672185595275813753298311008090565917036323671081592649865369714295649332215688714522809136422768971014409363678023677734560853260989440229895764764885587411417799431821111797947212691121016224646237175067819909593350757983477887856733436676455568707372498161276222829418988842927734034677002293087026478955332974402554488913312228336356646750374276848591205804817818475713078327927703759906770271871278726270627228793348257652418308701076933878830288014680123270034105247024266802311569317821932814835357490.16
