1,019,318,394,366,878,696,526,670,377,115,635,327,954,757,191,856,134,103,961,255,884,292,555,229,570,781,957,168,287,215,813,661,784,948,020,309,518,053,439,587,027,379,995,465,579,813,165,156,566,455,006,263,747,523,173,744,093,670,723,150,352,140,483,845,658,260,717,227,382,702,161,395,553,336,214,847,305,519,142,117,318,800,019,447,109,890,901,986,721,651,354,939,355,350,939,229,950,377,523,921,039,216,526,438,994,579,051,206,977,996,365,736,615,766,979,405,096,600,107,676,070,847,465,871,831,733,121,656,680,188,542,127,020,730,900,362,556,125,191,565,842,885,568,203,807,483,731,515,723,283,857,237,284,884,170,167,353,940,614,110,786,893,210,989,406,056,032,468,066,004,480,514,045,367,350,922,075,705,825,829,783,736,276,379,783,826,111,856,509,063,236,425,051,141,479,911,160,829,746,087,021,867,906,295,777,390,563,545,644,453,028,915,923,895,927,799,871,167,804,844,652,587,036,795,126,027,547,339,856,572,693,948,789,971,468,703,330,947,182,107,899,629,465,361,171,501,399,094,732,183,643,828,848,166,924,961,690,683,689,448,246,209,948,963,264,691,375,126,886,876,748,942,411,279,277,016,872,407,370,634,781,714,740,723,210,686,860,416,958,297,233,039,866,360,275,220,937,396,443,133,849,043,535,853,313,901,918,507,804,846,584,511,412,662,058,140,894,715,743,873,154,325,930,219,952,233,243,368,874,662,775,444,072,199,685,791,301,602,565,182,027,962,618,105,431,474,825,475,781,724,761,361,884,103,831,808,494,905,434,010,494,590,212,496,259,280,661,402,980,147,418,512,719,024,436,976,448,279,804,210,407,761,007,591,667,686,392,237,748,700,314,878,228,000,020,220,177,790,892,583,807,441,299,057,978,883,821,488,063,401,662,952,722,913,211,042,098,136,157,122,885,068,875,921,872,813,951,025,031,190,812,100,744,985,572,562,061,683,274,389,297,969,058,468,957,673,665,069,113,440,636,633,019,702,585,352,118,551,650,092,879,011,890,952,107,154,850,193,929,792,973,477,714,053,454,697,346,391,224,770,177,877,260,654,414,787,004,950,119,035,859,005,580,006,183,728,415,174,216,678,166,368,233,864,676,269,287,617,928,522,153,690,737,224,412,955,892,565,080,892,999,064,554,213,662,902,976,145,251,516,474,782,750,828,103,964,343,340,686,724,720,753,248,638,115,063,246,265,501,745,163,084,950,164,321,212,726,616,943,017,474,854,187,972,338,756,239,360,096,129,106,593,508,837,610,327,454,605,775,445,253,691,476,644,900,231,720,678,008,036,527,572,124,227,400,108,821,053,602,382,548,440,721,284,945,614,982,150,764,686,527,464,935,662,628,984,799,822,045,450,535,937,830,587,871,982,196,003,229,880,108,452,003,336,234,450,417,152,177,392,374,416,823,850,777,432,108,759,586,718,900,757,050,886,485,442,419,480,293,513,484,848,437,004,404,038,970,695,180,070,875,307,946,899,568,015,607,941,198,168,942,247,317,299,877,638,258,183,183,218,640,963,912,907,129,025,920,321,216,345,618,107,892,707,730,617,762,238,828,651,590,418,084,634,474,012,382,330,259,913,979,188,645,529,546,455,119,168,904,463,348,686,610,378,020,168,943,320,418,562,012,237,437,883,244,250,280,009,792,882,387,552,064,969,052,528,649,755,851,338,479,002,130,292,462,635,771,965,344,017,657,676,138,234,972,684,301,869,747,083,112,632,239,901,226,461,374,583,319,030,194,730,794,667,671,703,651,186,881,526,007,658,522,383,043,317,037,429,779,582,483,800,537,508,270,824,135,105,677,045,624,056,861,456,162,821,612,446,276,412,693,248,619,347,616,520,966,951,774,795,556,328,897,837,585,097,291,099,005,319,907,322,911,669,260,642,807,953,205,686,176,001,505,763,394,336,601,692,812,813,028,186,838,930,530,756,089,199,860,031,754,199,977,310,965,038,292,733,896,020,570,825,154,513,171,032,367,297,214,909,890,094,847,197,291,658,816,588,724,819,050,656,791,416,162,502,905,751,922,890,983,068,655,095,448,321,938,924,462,028,509,952,883,643,244,540,479,003,729,026,449,482,311,936,982,258,189,666,122,184,785,114,414,826,636,348,117,715,349,252,189,740,213,111,694,658,248,261,152,307,396,865,637,447,342,197,533,258,385,113,515,403,302,148,796,475,078,396,999,581,801,595,960,641,338,381,333,206,895,032,569,806,354,307,480,851,601,159,604,973,604,986,779,538,709,814,275,681,897,827,737,559,617,308,871,873,581,979,750,571,583,749,241,715,533,351,140,544,810,319,997,032,142,706,262,997,070,009,244,158,231,135,109,977,202,116,718,395,438,284,534,382,455,610,261,969,210,304,022,575,089,310,267,820,420,450,291,449,414,884,883,001,909,184,357,304,264,849,826,342,175,906,638,720,473,096,351,539,694,666,729,135,933,909,460,612,673,713,325,110,104,753,692,374,664,231,007,316,099,127,112,981,305,183,031,920,278,935,321,064,824,849,041,338,669,663,807,349,277,506,226,804,776,791,554,354,595,192,003,389,338,220,635,788,325,978,084,954,142,150,310,519,016,870,386,341,276,787,774,977,804,226,104,902,485,304,736,248,425,688,749,946,128,557,749,634,026,236,360,939,466,929,818,561,272,140,074,314,652,295,886,443,510,927,963,432,745,867,281,679,897,708,585,078,867,183,193,542,037,561,552,363,291,158,451,453,606,345,022,530,238,898,120,335,378,040,448,016,759,313,085,445,461,704,947,163,881,361,500,978,679,502,242,423,953,392,293,767,345,986,815,184,943,611,552,292,820,015,321,384,843,892,291,572,225,246,566,374,032,700,499,090,429,333,677,803,984,281,735,273,829,132,468,471,604,213,123,763,075,638,471,753,471,318,588,970,936,037,593,831,524,796,459,977,076,639,119,550,510,209,997,209,284,254,333,890,948,587,829,721,246,898,301,319,396,630,141,747,224,461,620,847,998,209,385,406,228,558,880,693,713,475,568,414,789,267,561,537,245,915,757,551,330,974,140,209,764,991,852,904,673,488,614,190,623,853,374,008,368,908,443,251,439,682,032,389,917,741,425,686,195,314,036,505,122,210,801,764,151,655,602,673,414,922,447,527,617,472,727,682,071,819,776,971,852,138,254,537,439,011,679,109,897,575,686,590,409,835,805,790,244,289,690,840,935,732,654,870,963,936,494,245,485,222,760,058,168,959,938,428,372,236,979,505,359,024,667,736,284,625,048,210,631,870,830,259,586,913,147,892,131,071,623,728,775,322,896,747,097,565,365,922,193,136,832,268,437,488,697,625,038,753,845,209,041,310,894,071,920,602,440,135,577,755,406,459,112,714,810,464,189,124,069,540,906,334,406,053,017,724,326,499,464,987,687,521,828,838,280,650,304,059,990,524,195,864,094,901,763,803,255,331,905,855,125,964,025,060,078,749,688,170,291,578,215,313,208,087,578,555,599,927,378,473,895,482,286,664,664,520,854,807,071,017,201,240,585,712,885,997,884,216,835,149,492,849,242,763,505,701,561,848,325,744,247,322,308,584,529,480,334,466,427,984,727,329,805,664,613,589,562,658,208,148,433,780,629,021,510,242,525,900,793,059,787,028,615,066,692,191,693,275,984,568,518,113,676,932,066,546,908,670,282,417,673,319,009,095,425,039,685,013,230,764,095,671,633,773,441,449,713,854,272,932,103,445,202,271,323,223,639,443,667,669,599,419,847,279,404,392,418,863,129,212,535,633,321,151,547,843,398,839,704,307,553,887,563,407,071,345,502,978,808,788,394,309,577,465,738,348,365,138,829,700,650,711,898,144,046,268,699,291,624,953,370,397,095,238,358,986,524,694,852,556,247,619,824,557,741,379,894,264,103,328,927,637,001,464,562,551,489,900,840,911,803,123,020,313,664,023,717,059,441,054,275,136,343,308,938,641,197,772,406,577,506,751,163,283,828,885,428,040,814,115,035,789,694,314,802,844,035,017,483,298,170,594,557,840,360,245,692,934,564,715,069,507,905,503,115,624,590,389,215,238,226,215,921,877,759,260,084,573,403,955,529,834,753,966,190,291,739,068,163,165,152,371,893,857,080,942,186,614,469,720,193,150,568,314,099,013,022,183,051,460,686,652,090,897,243,401,923,599,074,939,081,764,972,863,203,986,484,300,893,903,611,467,356,083,701,047,226,878,573,721,507,634,026,937,110,984,910,800,426,367,722,770,860,957,274,053,411,589,189,032,976,566,071,967,487,556,696,794,684,131,746,541,610,223,676,603,934,090,264,921,467,189,228,379,125,849,195,127,027,148,266,432,732,810,407,340,088,217,727,377,777,441,270,210,462,506,162,099,093,018,254,106,336,868,522,510,328,846,543,831,519,617,072,915,820,724,754,699,675,227,540,740,597,876,457,523,515,024,165,073,776,464,054,129,702,246,908,081,395,815,567,046,682,847,608,818,613,045,611,602,674,273,605,734,557,447,876,792,084,118,597,247,869,505,083,756,433,211,347,685,138,966,632,197,222,584,167,057,272,491,487,958,060,770,473,198,797,742,662,482,246,899,716,534,258,124,046,284,190,280,355,604,214,286,841,933,738,357,978,563,482,838,726,886,828,444,621,296,476,937,493,080,822,242,687,086,148,366,341,436,368,137,557,419,144,266,529,371,691,320,378,147,137,499,020,839,087,015,507,799,835,282,887,427,613,998,197,897,392,200,042,762,411,265,856,866,588,811,534,278,745,701,445,955,742,489,077,459,171,130,308,365,603,271,251,438,229,053,825,725,004,560,986,332,842,829,952,858,972,460,279,854,615,687,887,299,346,125,641,739,737,833,027,157,998,384,382,047,597,263,305,841,700,456,440,838,028,463,278,779,477,047,632,228,420,995,238,253,073,781,354,544,283,840,358,986,395,620,645,033,886,704,150,470,118,198,697,205,423,897,188,874,591,702,346,531,246,918,810,236,180,411,024,350,256,656,210,408,850,648,014,533,258,729,423,297,218,055,950,861,739,201,022,469,483,506,485,118,225,058,924,981,924,361,508,363,789,769,501,950,490,166,946,183,883,551,115,437,990,736,242,826,363,619,513,771,182,769,409,093,530,395,651,385,789,989,878,281,440,522,163,346,677,167,650,199,909,052,541,475,450,334,280,807,193,919,230,760,529,484,144,530,061,550,317,921,478,890,110,152,007,585,661,079,896,461,972,481,196,654,081,790,549,414,562,510,777,197,415,780,527,649,130,027,177,719,661,063,023,690,405,849,190,532,347,314,126,198,449,276,648,807,389,957,399,014,152,577,750,221,621,226,325,926,809,440,359,146,150,181,470,191,309,032,626,991,793,892,314,328,831,186,967,453,969,312,081,725,846,800,621,932,515,486,191,039,937,908,350,631,966,109,258,488,496,908,728,637,091,762,961,354,555,108,078,843,724,899,382,010,786,985,041,236,486,707,849,886,229,645,536,533,169,245,875,218,532,130,814,566,272,237,394,587,452,845,937,698,914,799,846,487,814,534,401,568,040,039,497,319,267,941,717,443,499,500,137,215,368,594,270,749,682,478,258,668,197,253,971,231,816,231,349,617,834,889,646,676,412,445,320,760,816,034,541,712,156,085,891,028,422,240,154,529,397,329,568,904,077,710,240,255,914,996,181,683,604,410,778,977,473,643,113,947,311,349,961,049,564,172,925,734,108,405,655,618,245,402,255,765,551,866,746,034,364,018,790,502,588,825,090,990,211,159,092,696,487,772,909,736,382,639,705,520,662,918,792,022,283,726,078,003,795,655,856,303,623,991,633,670,572,514,886,854,458,794,587,238,094,639,255,614,862,326,187,002,474,593,213,369,266,931,445,878,752,009,489,670,868,859,350,090,013,991,055,076,531,557,820,065,535,365,721,077,916,805,237,926,269,530,471,048,881,866,726,973,548,310,379,862,440,457,796,654,696,943,023,339,137,096,904,616,933,358,081,903,219,848,979,616,636,668,264,216,981,258,129,233,763,352,706,176,255,296,060,540,965,632,625,394,491,320,425,332,585,656,986,495,148,040,877,515,825,213,897,985,751,309,973,993,364,215,444,833,319,224,569,984,048,861,245,284,435,211,137,454,818,617,981,192,535,744,310,298,565,751,074,812,807,151,070,139,306,952,452,449,746,921,531,164,426,973,188,145,040,875,179,163,413,608,430,359,978,845,251,121,513,654,895,055,158,630,526,273,257,635,248,270,408,968,188,493,626,912,903,516,622,819,539,881,094,111,983,571,117,841,216,760,471,821,326,033,161,268,129,428,221,332,175,444,976,505,149,108,065,650,831,829,472,642,512,065,624,978,185,629,192,098,119,663,989,588,448,472,870,547,749,509,874,302,574,948,386,293,984,522,987,012,458,471,496,835,142,696,166,174,778,452,980,483,468,088,168,348,177,589,633,273,808,770,574,017,247,052,098,615,277,424,688,556,600,830,596,848,324,678,502,922,765,719,162,098,456,714,067,978,550,544,941,197,179,600,038,031,387,064,649,431,307,961,661,183,357,207,255,868,580,399,315,659,853,754,422,891,763,961,340,950,939,462,754,180,041,668,002,594,467,080,516,416,643,821,873,646,087,365,898,313,515,665,747,239,582,998,254,122,843,230,574,497,745,345,820,883,156,508,959,834,832,359,737,354,178,006,082,388,939,268,820,532,949,854,532,658,075,072,451,186,102,899,405,888,823,928,911,547,693,039,169,861,665,457,185,194,417,396,078,938,648,099,590,092,616,924,166,228,192,773,038,017,323,979,234,656,804,209,939,351,221,428,595,564,054,232,639,568,318,188,856,623,237,626,427,231,481,587,370,969,454,744,250,626,914,499,810,239,547,897,591,056,288,530,790,236,730,935,461,909,499,817,490,075,504,490,328,167,525,965,690,917,784,058,112,540,143,616,804,834,501,641,958,329,673,776,182,118,710,545,474,568,617,953,995,371,325,918,781,719,953,168,594,191,752,485,440,375,437,140,385,881,518,637,718,898,979,157,506,708,871,937,481,860,695,068,104,820,826,127,902,106,504,917,926,997,306,213,967,030,486,785,394,177,942,466,529,604,135,186,912,196,200,776,789,794,176,570,325,677,347,624,490,471,988,366,033,459,817,332,156,276,275,132,895,649,771,556,244,298,259,747,657,882,547,001,626,141,346,168,412,334,016,888,748,322,939,334,480,032,920,542,052,775,082,943,279,991,357,765,882,564,184,407,231,098,524,171,302,945,231,433,250,216,474,941,845,833,332,520,802,961,658,190,257,048,011,318,624,485,449,343,285,091,811,515,413,216,560.06785548301631488
$ 9574023068615892197905261802665865596143808185668801690098265304595667641926969477001373367414278783056416194011048768730651747758138445360947820549011375794510621176005842144178581219654609645414784712845734235207593289540922806282411084425655561708909685360272305064718592652999879794878853981530658580044617547158770195219314258438779852135440611059432098995955078079391551017583242004542502058026655419153934819235859986206918964942328129244633175631101445881458040392236959907412309031394324991024235720478020406091318191981209484917296069132355236300505355290774348985233370422360336195322966886886998547432188607369437751985888197889818333207974107096192859690211453896740952099345837510611706128651400458007476640862197298780814619426215279037171989816704157802009610447225969661294161690766636364790823792402914824189147198101888250436576395801470655200503642716132933896649289812207998070132482137911241183723041282712678773878880759331111547233368884947556760802642512518360546552444753409226532885876388944448383099434272836222588381502861467135848633991245257768931319232039018993072302224631242875775679446241938950267897115192809004476488729979214207680128671516950414029440372331226293813958100211391904536656555253072907585033281138207655960886330063675721422966705093898909504414498904481180326582118035267696508489231711401053581712484892998182266768446565589000223437331538232506406549219798412834337221248036757513347271151640271133037647540762062823250856848723279578692070677109710671244593489411192243838914347800602482251998905945919017348175865605581844072094221977322738324719235786642805667576622826667825802309383985535390718178669672081971683710277705558582359398628281038297981053538764221372748555867425708209913890824761451967873773762161390262157856997284411109881595884507817356409415570234750640875073944553662818291201402772134979701161671297018106063292444830466212400612571745838298485883238923986989223146806687506811270820731943307030314716948269714069581775435402747688579178928100550256979647081578943565418743650620151631659692150503055101393133745976805535828265047356719830689900194895570006406539925367038246001474137591169397989910518753000078197140631408368130455109479937935182816048200247554707486131314045663857748281333769152056970062670773071163626302976254425716116759296859409761951358417975727446350731693512809364207903553771844583054238241333050126947191060286130788704577616381065847288336138584589566875487484872835205042359442261778042882124610185852006381213254861120949805761009775315795139473681779371858505838456132305159945264505374640393904004171356266086950754361646857240274896220074721681923817086997384175274198048119226546629748207622159850785000014882038151305506436901368459626446066008317693758302239153602478104760066510349331886262685778864381412408313387887457103725028621929139859937514468950503151676693294428228116485900081206849235817442471015946145935684139627781874829456222085927475791389666269832280781230242812087996690859448491272022919764608401448451886740248876779321617090250286453203054566985609038167783647893352147528066368732276541239900601029914267967890603047362976629962120526170853366214921866714989396492758515497904881271048845343339823097560827349007222335584224619942826289586715521567639257235977583712820315240582120985374970062405780084665231959183866051710075629865779623604548267555992786090612482520004758275342637436180524810914401587435598790948069458158967540437167378211826345288222586316124405139626352145308144811936499352488719147520967017612072656234360673132874645412024286454629634122145375251888276898397293279629073692455269455790521056934449806369701418024988131697554414731116799572538876316694415676320310118221970162259706513149573836065603840159794514264251012649846411995682558115292236858997043756165636380032737429208888559792183628114681019961550165795044835047082818157651477318923690606989095374362467750107643353732538668011459139430532429909814678764278694614727402871843882331642559720469631153794215021792714528723119662601110375247156780701027255495089783689031004776738106747164644136609437360206743280955572423338767323619117243135464853813678340002976778752111980411329996695688102642832248807889467089417055290286405311984808496406146024090844610167474418830014122746107433798618894909107934221924536488042176117014065552731798931011631092969067250038932667826807283371770349893473363490534686106614530757297148214156903251524259410043099266016364302741824337854379966446980558687185219971856591021439350349463057005483739364645721978849932460613890453161737482207046678882533710881194835069175239173742312421817045568886503440976117575665274527025591201371804228404284788976853150599648430306119200731715767095903032288342845972541518837198257474035115006041722010458657634723395802486754919197157430085809509560335051395637485056965226743685365090235172108133690746340952737073413513904920317819496116321325311946878048993626046926282889682735818236362374223315424898528504335163612827149900347363367985288461304750352559815645752889178056789608788694209016595647862380652397440342178040624957848242075615514688498233187861700212807053172454771007494759863711512427909703144454701985754442571256732207114505299242875826881726098704947396643743942193810813678245033998978139223158175038032989725385461385478307011242351233785680635644826079536841144541821790361942838995328298151746688993807667143348597457854873976974966619797650215181020531736187182865879235515691172839928222052076640095310741082424639256269029147185838393267279282188755647597710895376907092853269713546981736159467554197104560281746514487073721898059071595424208107730517499473388234539750947720941036145063439129941801158671179313383519089587385463475631190557315418327547210052552048873464738101248643407513469418051379517002876952648997309342708146638471888924623861616150460980695015694528714993406192737799005522246960097743820973279531638813877376522952516971624937450445462164834640122698707734303807492555791454800443188491188037055738917343612656065171081568951168478686468071024554477427863085599839220972540608276102663187080657954759671479845391207475749293482481477991539146557566360794840812348774491325408775233651528005968249263410427419306906885794073396261970624941181510804480118181242452261658241412863953553814209371703104590050331884351299807898390539349354339577482989758525702836577374063831819485753998903214070809723423604361256751547747566272986617748546489448978805087770952214796727957683771831015824596973061408399426510395038643117421539351765729969260618918103879507752989834425091971013797136609560153619738544551113364767167650934356552236915967542427672238386205662699475136324973773449413979465915988483268566442890435780138023566769901568043442308885100703064953806584021409187359330829439166517362270175634096447198473730351758166999585757600289048282013003534898109315097038108588103701531329057029056222903463720850543371180809978308516510088591181201225414484036167257207472105701358820021937920852134566116814547166605051397763081681424014615517586605316310460426668312009934273570023676537850599276362832697080613892921484274189289514522382798746724449054288735310404883484894971358658371135330868061873574690940441161530988951888881797585347641170182596442324418641755898286134854476999645052736542093263429536773753322819446959144928610166622227836678372549522172235938673233432167061268396995020823675661123972337437090077790607647609993217007407273316601298814036736725727889615706679456726594361774267794399991574548887134251791950736653680494606549118718359362229205664799145384612114134239461095241424348769108424341132630101211892161179597602002561147124200664605810452099648624895214787191429867950650404559307593061890379282533713049453764628414519991044320258085932124977006149164356927116242525802954719969318898897729385725449710956080086660543772292894240079273893432421449947624893044581853038128692322507850798618451445892861133531751273101470422566745763451553494992780076177158844675128901959456497079794772901516068788944519263956711560679391148003858809303245009161568558710516506841058278026250844589180504299626735465405564735614780615780268314698230750374984517723354537189770326810732969828705148889551275901658644404107056047501871862042211455502978615909941984247682353700904183492312741272025045661459300818947192001461633614610911559676818520183693516362608571718882608410908471226641532691877157307674557233432710979976773336003349648819547429576851937290748551072787390175941074326223869492030527334356613633227118726191393605713670112573628899876468250338259534900736035520407932526783153993432017777959412787785744626763310601025160499022960739820338213394369957459529245335082544941982714128647767648213067826429881500913550649299375077171057949819095592307075925680875571086191537560075915683379502630639787287823127453705465131877709929204058109535502289605904831998766814496410412500451033649491284268590676064819904728117620644650908883382140853491354852617419507118107632225174533754057008992273991338880362544020134541891759657644418627097094370097799189470631859056503092819549808190938679210492306187188495080333283442625705600426421251720315901451512470395502551257469055597820058132854259668756062320028735470190721992839110048908955932072295816559120554969457958563354087347220697815187350742497464514684426626476485763367937439262564340572649193789002146293485477417704019329502984567410478166686221794555766135100609446116741055327414829736585957515290722032655550647549060891976415354836979673814721835682864598153958258704237517085475792182514065286791987897309755165456684243622516598887071018423561927076821557993446991753321110405197684448077733750600167266745536564533491741988.69
