2,495,640,481,893,564,416,518,660,311,289,117,049,033,166,126,198,505,040,567,705,668,814,124,731,447,901,468,707,248,700,376,804,048,755,409,933,598,156,672,965,243,972,240,072,835,093,886,105,250,046,150,255,531,842,514,415,349,561,407,662,030,985,685,498,386,888,027,400,151,160,195,888,121,270,958,692,881,037,723,702,316,533,335,890,221,409,400,986,689,759,879,354,873,732,830,395,078,995,891,857,498,941,784,372,409,531,170,027,373,460,263,828,047,785,433,224,970,953,786,438,872,043,229,108,730,945,554,263,683,923,439,988,784,388,722,769,406,612,200,305,169,299,274,647,401,905,017,451,403,189,395,741,334,822,765,129,742,590,700,010,616,534,685,288,199,772,968,135,211,520,256,186,296,950,084,967,981,295,501,715,670,930,300,264,387,461,570,791,619,069,903,256,537,204,816,814,868,613,310,208,423,912,644,039,845,470,826,744,351,801,759,291,022,716,153,081,920,189,509,428,942,738,724,623,487,133,997,433,227,511,321,000,435,699,142,705,513,477,048,722,475,069,484,135,606,605,377,514,029,074,109,164,389,384,798,572,144,649,926,177,928,782,261,397,752,785,610,685,621,727,404,368,260,278,245,576,937,970,956,943,213,987,843,773,317,573,535,755,074,773,658,898,421,485,541,947,001,607,467,767,905,246,459,697,685,923,696,636,741,160,414,942,072,902,444,954,647,423,085,450,810,873,123,112,244,377,769,856,138,715,745,506,788,220,145,988,001,480,166,326,552,962,478,383,769,787,530,685,861,049,816,257,724,419,794,232,988,238,693,930,443,523,830,664,893,265,454,771,382,430,367,132,034,217,264,713,832,108,499,657,456,487,443,874,088,427,178,272,148,685,162,464,782,202,011,687,502,889,945,555,578,736,821,376,234,008,116,981,226,161,963,996,883,236,925,466,264,572,887,859,977,122,793,801,388,615,139,938,334,523,378,656,869,081,098,573,925,246,727,466,777,148,173,690,085,163,501,389,823,858,008,352,668,830,648,807,697,557,018,577,503,707,085,951,683,189,093,113,417,700,827,221,837,388,892,890,203,964,526,435,498,243,410,873,100,451,127,236,771,621,088,487,394,556,197,687,534,403,969,241,067,344,224,444,912,726,638,335,070,734,792,445,216,270,165,328,108,171,882,623,209,173,384,782,585,414,681,374,318,104,389,209,673,375,850,023,712,200,702,684,604,904,128,411,084,840,459,833,118,012,686,952,540,040,160,022,350,624,731,521,458,871,122,129,630,912,465,432,746,017,069,442,740,502,526,463,424,976,331,989,747,636,781,307,611,377,427,599,588,823,868,277,624,528,880,995,007,448,312,265,270,037,684,006,037,291,858,980,544,749,645,465,158,066,751,022,428,048,684,794,213,750,596,761,190,065,388,290,675,990,883,868,863,729,585,577,403,376,872,758,455,763,182,300,446,004,979,482,058,835,356,728,856,077,150,953,244,983,805,449,195,344,611,801,515,694,522,775,880,342,466,584,693,407,656,368,681,341,408,465,528,623,686,594,463,922,419,700,372,063,119,600,054,212,886,947,045,664,460,823,991,778,142,081,322,543,818,091,254,782,559,004,384,246,874,440,718,742,620,855,124,238,194,408,193,987,158,468,652,446,145,437,715,039,469,745,742,227,078,536,806,642,684,135,530,721,798,632,457,038,543,895,454,646,427,190,299,476,789,301,328,345,831,468,731,836,180,950,313,055,386,723,402,860,625,130,977,359,468,745,589,631,599,521,012,555,066,590,365,568,414,528,216,831,637,995,583,252,902,161,496,048,129,613,818,413,996,512,192,378,195,807,014,252,502,242,015,014,927,848,516,839,187,434,772,850,117,647,169,328,321,814,527,389,068,681,111,787,285,886,900,855,001,933,830,191,035,845,433,555,177,340,300,348,740,359,686,576,580,452,204,192,279,988,875,741,970,833,614,360,836,950,281,607,502,038,369,667,242,797,699,507,898,458,065,358,977,336,198,496,281,343,993,793,416,115,107,246,688,447,227,804,137,565,994,745,397,521,909,982,892,020,293,406,321,653,247,506,392,447,841,312,710,887,614,652,065,141,014,733,490,291,413,299,522,083,249,315,230,405,071,857,827,941,960,400,233,499,998,268,604,900,738,237,194,519,095,371,836,676,078,081,164,590,363,896,730,086,792,305,816,815,717,276,631,927,942,003,808,844,370,669,971,329,381,897,412,564,463,914,224,326,437,430,628,470,702,408,181,028,716,299,117,385,522,127,397,433,377,622,145,847,363,499,270,910,527,140,217,795,114,829,238,661,595,015,791,339,560,485,772,861,025,333,113,552,079,005,863,136,526,787,212,489,258,840,988,821,900,714,250,526,351,769,503,913,654,966,119,112,016,305,476,648,808,128,991,565,762,043,690,082,671,534,174,456,619,290,232,044,336,141,428,200,108,856,675,750,183,319,722,770,771,231,574,872,669,508,384,664,924,320,544,352,582,948,813,777,017,077,471,429,479,234,605,598,859,092,387,553,032,321,083,550,881,949,230,708,127,146,246,677,770,963,569,075,971,975,499,081,140,495,414,648,961,211,247,379,905,008,968,809,895,940,640,465,597,224,187,115,372,375,169,284,862,955,327,040,231,395,608,123,738,666,679,725,139,147,360,544,430,058,620,535,477,928,249,464,666,391,499,150,628,142,821,145,878,771,936,635,835,041,639,578,286,691,715,957,186,777,270,163,521,776,386,458,683,976,093,048,207,876,846,494,120,837,583,164,830,197,568,963,445,574,842,351,331,644,857,923,924,127,100,615,777,621,643,308,631,197,493,563,790,817,214,791,416,294,274,017,421,056,801,726,669,166,158,834,459,077,647,513,934,638,130,335,450,487,149,812,719,914,634,900,172,669,002,607,991,474,885,023,555,553,712,542,635,813,879,207,577,011,381,485,169,718,212,189,474,695,483,074,339,495,329,304,891,020,710,428,431,366,348,403,760,478,102,045,504,819,949,219,583,473,852,043,024,581,732,283,392,949,205,366,991,662,348,921,609,832,502,713,412,476,150,580,064,460,571,070,551,157,040,969,733,093,451,336,331,534,476,846,696,572,809,379,460,964,003,674,540,040,448,245,157,557,274,604,867,181,554,487,828,341,930,047,013,063,684,141,077,322,689,509,911,524,233,712,495,168,384,543,595,991,255,015,610,031,920,252,004,473,110,161,056,285,011,788,461,089,075,224,690,371,085,901,242,583,336,458,406,248,601,912,139,656,836,055,129,304,734,387,261,490,515,818,389,045,590,153,730,421,418,340,016,007,396,523,110,719,504,400,169,375,588,970,947,524,851,364,660,838,527,397,822,470,989,303,837,227,701,319,991,492,082,830,817,755,529,921,115,811,961,050,530,335,797,841,451,311,293,149,660,646,137,581,890,644,204,841,661,825,407,279,280,312,393,215,421,887,409,343,471,946,523,502,475,763,264,053,365,880,419,684,250,951,966,211,919,899,115,943,662,302,505,541,934,037,987,099,978,994,997,647,002,338,587,456,494,477,158,657,601,540,098,373,571,850,520,350,231,895,899,534,187,296,003,375,394,058,226,882,675,575,033,070,169,829,671,652,082,147,949,559,354,137,498,228,642,943,978,451,221,887,238,124,732,022,148,200,372,744,692,769,851,354,816,886,788,424,927,448,909,252,394,561,131,359,826,510,905,397,376,008,673,899,707,556,739,032,485,600,721,363,538,058,412,456,146,229,425,020,960,895,523,041,324,124,538,542,665,579,347,821,598,927,745,711,738,577,479,288,202,598,313,959,111,854,745,362,125,026,149,776,047,948,447,163,145,383,046,499,165,132,203,469,315,606,153,118,033,822,965,030,383,580,577,092,592,685,022,751,422,592,475,830,796,776,728,283,071,676,368,391,852,471,755,706,196,977,982,395,704,894,988,271,395,073,354,114,807,089,641,681,412,921,195,972,185,299,720,651,783,000,892,991,154,391,079,600,715,350,717,149,262,391,171,450,496,276,001,069,984,918,745,904,100,876,185,879,657,265,407,613,438,869,172,443,954,920,247,247,510,631,997,219,455,042,718,071,323,108,568,939,150,970,131,436,607,634,175,102,068,792,427,790,909,980,702,556,905,149,646,066,327,053,276,586,058,310,051,875,864,127,169,853,615,482,878,097,689,099,139,933,929,016,009,477,701,467,341,697,925,578,697,446,699,914,448,787,761,075,665,414,029,701,124,763,057,382,813,470,797,332,264,219,653,558,628,570,481,526,081,925,308,386,897,477,328,783,310,999,838,939,223,093,510,499,961,627,444,017,569,964,137,195,101,880,122,071,782,560,032,719,255,059,571,185,147,818,536,355,638,657,703,657,091,721,392,799,344,892,068,773,962,962,949,548,770,084,658,341,516,433,082,672,679,166,381,907,676,969,851,453,134,637,297,792,052,500,975,708,077,790,424,700,740,104,912,733,945,578,568,369,061,607,542,371,042,524,859,274,839,357,423,143,466,884,455,297,674,889,897,745,943,700,010,894,029,512,548,820,098,649,655,350,927,381,300,808,320,028,632,093,500,534,403,525,074,195,742,122,342,288,382,436,340,125,106,008,811,747,256,689,626,039,425,637,873,607,953,472,582,069,215,143,307,234,283,788,388,479,277,990,085,683,295,374,449,608,782,082,548,584,600,482,049,426,751,095,715,003,949,002,377,281,801,465,245,036,425,910,780,776,375,955,733,955,857,076,726,941,864,530,949,896,542,387,562,972,333,426,007,412,259,117,208,465,158,033,707,024,084,050,437,574,136,364,602,591,398,468,511,994,178,013,849,296,122,871,649,729,801,981,202,466,254,920,600,474,347,261,920,138,533,287,353,651,850,450,996,359,248,202,453,799,695,774,591,781,324,243,056,433,216,278,043,659,260,586,966,116,947,251,119,408,583,444,704,888,652,731,380,134,173,708,674,087,918,669,225,903,111,835,986,542,365,611,308,297,165,029,629,096,769,221,980,150,011,236,670,710,061,175,792,243,204,260,611,225,029,492,062,663,596,685,251,917,342,561,649,895,914,641,549,003,076,066,422,825,845,025,857,213,528,400,530,691,206,884,300,617,033,185,675,778,861,618,469,353,477,775,092,401,059,442,484,190,368,087,530,462,952,953,554,864,596,047,896,587,996,364,766,233,259,004,721,207,169,128,632,064,574,114,458,000,066,131,236,796,889,391,844,844,667,615,276,082,623,112,305,195,147,827,329,674,658,263,917,156,803,898,326,295,472,853,864,723,202,828,109,339,164,725,267,432,342,621,134,320,176,582,147,487,916,577,624,819,175,223,308,453,753,184,633,908,817,173,645,256,856,892,452,291,815,685,785,101,648,227,513,572,994,548,875,701,900,432,283,865,476,605,701,331,772,550,302,795,686,236,687,278,306,091,190,287,134,243,447,502,460,132,704,689,412,319,970,330,776,841,871,776,631,383,186,986,519,284,049,477,660,396,685,020,721,573,771,691,541,209,910,285,373,668,509,728,152,561,641,720,760,770,930,978,593,665,176,915,330,450,306,121,808,283,241,379,775,523,118,409,054,186,859,147,504,147,502,131,533,101,636,058,183,886,751,407,854,167,929,257,417,250,534,996,871,901,780,685,415,426,524,664,521,548,067,857,990,453,012,249,309,221,167,620,869,629,601,105,541,959,754,300,426,715,813,833,729,582,419,357,723,511,138,147,958,441,667,538,878,572,082,053,440,926,111,989,732,811,788,959,267,105,552,918,411,101,270,517,232,555,061,327,444,534,180,041,947,295,565,751,466,690,803,276,848,893,806,185,278,174,458,050,131,910,169,817,495,243,528,071,076,153,940,676,913,285,180,944,733,758,177,248,799,645,944,841,804,738,784,255,959,152,826,530,291,372,192,300,052,861,549,388,321,697,306,612,198,366,539,068,603,053,220,784,014,942,394,993,752,081,161,291,619,796,791,401,830,663,750,989,079,901,876,096,273,225,715,489,563,672,148,297,023,558,844,609,110,706,603,610,039,124,333,526,373,913,660,924,938,629,916,294,881,215,861,705,481,228,791,785,845,798,145,072,593,573,095,099,905,172,847,348,289,206,585,072,809,531,219,690,805,266,535,801,782,316,032,577,185,601,990,587,211,354,694,099,329,131,222,058,898,144,649,367,598,428,651,838,410,572,299,193,893,346,885,964,269,691,398,401,696,100,815,560,297,071,259,459,158,490,172,292,456,199,155,775,776,729,265,712,872,270,188,310,327,565,950,526,027,651,909,002,613,020,455,953,250,948,119,949,250,719,071,953,001,625,795,603,161,711,877,211,839,273,218,360,004,526,854,458,432,288,593,459,877,803,009,569,389,881,069,685,883,706,745,554,984,269,743,859,604,414,979,888,109,709,361,664,697,218,886,368,599,523,366,832,417,916,022,144,077,852,014,576,683,342,060,916,757,696,282,102,348,414,318,608,583,274,079,299,471,523,860,051,318,661,325,935,731,170,271,581,327,328,607,326,259,069,616,413,757,338,974,256,883,902,929,154,401,500,508,045,907,781,124,561,600,026,348,575,128,887,102,606,690,345,451,429,177,619,485,251,599,591,117,367,936,987,967,712,824,264,773,639,000,398,524,543,719,614,882,163,769,767,835,918,989,188,658,836,641,937,188,916,512,025,274,351,758,348,092,342,521,190,542,348,371,647,538,991,288,142,704,764,236,121,300,187,482,818,264,373,972,193,774,186,252,307,645,899,065,880,819,624,978,684,394,675,591,355,824,276,096,592,847,518,418,694,143,030,879,638,413,069,594,108,705,827,764,186,494,396,011,600,298,366,710,758,585,220,311,328,609,581,717,693,586,568,967,574,520,812,001,936,822,256,142,406,092,554,339,256,129,576,095,217,459,914,258,959,797,169,288,577,970,211,738,091,909,750,464,515,438,500,417,532,130,958,346,064,009,121,362,553,773,493,830,206,157,498,882,619,325,678,812,869,740,382,272,617,635,851,382,707,104,195,834,582,426,692,582,625,184,023,075,602,045,115,513,744,700,851,548,847,481,636,938,833,423,381,807,164,436,408,121,986,990,073,438,988,654,125,501,298,559,615,713,934,123,793,006,315,923,615,387,363,616,231,553,551,931,114,454,264,817,725,454,559,582,916,594,171,887,977,458,998,917,514,998,148,912,371,004,875,462,731,684,912,976,835,367,515,235,939,391,693,855,230,079,679,859,845,654,406,099,798,177,331,174,495,871,895,229,607,433,170,487,871,038,501,012,915,891,531,872,510,734,203,741,444,628,882,376,801,603,852,937,753,865,759,835,021,157,618,368,201,787,794,219,859,303,787,503,327,727,085.488979281971249152
$ 25089339389968099692700564435805637746205564348608628350844487372588358716982066615141848305076534063585911693568305486000371205473322258037351162717258992990016933247492009355251792093483451661160705988114591665707097100200353779704042090100699650970283417252029388670420347936844494571295455292682929146424196504169825812704951996581861664622398343634358897659549728951902702688550419620146182163794604915386589596275519568166050616231363536533999469213175400274307897280870009529215893368049482686576804931501641951953993926990358281235768087769582861693183741305078777603260139352713447743755464012772955360783220592474027543896794336263393317254460336208537583939500777925028744510259646539087744161689724314595637933643709359968500836361827731287828416925992513852902886078369263926431183226935087444353083113335362104339211985195882098288396519191188255527357773378782683996822174836168274650647147182680584830705370665963067624875964372123645159514054087704291962442187464419283611446392587149272221064237291708303974051510626471051415574286353393643413060910437830692471354369380527164073312126860785728556289649472064467424105247827907509030370817604721830535107045509597240999008690106778321833899816885940998423392842845325631342821177128203312953647581220125363290712213663312871814361008317714357359867568338965064472726778373951465822636148017612984874818473055172276615726983373136703999612923706467361316642287306523432052859726667129762263360341917146564196538573265901391346746636042194409292687004653484783039037301805678108041472106879708202312698550287741381238207378578902057264420785989565190322744390549790602786480090899531214263747328371231520098267928164118510029818452183703706002261326412947463502156395652777923032402167000151353576870263059383782277061503342617674051779022508112296998270173027411529957917313437974322713242841587442687315944056478251169575199158869835720656615809214900153394113304694177153683288108653938545188701386370293421068687549776953827825926524114340693221771305262927354320741249460334036108702727063766476479480930175060721541824453502394054839960459409371845008867295769669833595134921780139790430836809274903405233198954541378169741299555971396526037877459913219250847321938730966559773994698451436369550916866050430388545378506439482155149768504368931561852453472816378993309612498622117464655400495132272434462697905967070320953795553866084033824614606916159972185655401559969787765437118698324631586743311534996375226015723779781571393098558905435561639137943142714557159525955632128336785531641263371551051411202268483918247215705899452705975383176199073754402921915594619353885723700631423755472405832957865943321602391183263812777645740234178503743953910283296750282849206794847777405615428317127227542811406932011627375394491818911625625879395183395195667054002787307843736973641552665542969341391056657010592618447194213664562427172165336952821685140436976049228210260731179232289040879833253232440377930193934903823079904398310327996509029550263424727556696436438032948053260604642663292071639639856063505144867499281895413613466851420535938773864966355374675691434111717066637377213876541365903081094959130461296255521265338178966447260633615337820656564174110881813757077948975493458038329886272307843131636043008620062982479625437166161398966114682228728072053906566936556035677062644620563213160640215088134274928981683126383397760557792381117156635074656267990242641295183704227276869656327327133832761829234091398940752380421764239966158181474331428117911697990048419947986881771763123536907025006715459175298927802777827193032082809663254763418921247433860505368710599068097748377064552682045373838452393055332912422865898867034728755465391293447635886215092257258849663513156759897642990461722371126786888948631712793470034515433406199920605099914765481420859070559908919280849176030458408337383633951558549834658805925515393051505665754417285710822446421982164136974742337465117548789687353239982264297232927271444630980729898540941114720395318139086737674389103948697287345627728230594919863274292997569198385789375295834220416772440133484174920183966036867741360533214424038066739614382675390388251137608826702954662457347046106240363377471666106030878706817752238617872880352286296798287060661969922579564548793037931440175547654671783702794551601757416053034371656544598161612596722938720959487901570861840826144523158387409969319715611814057017741614733249721310667946701249709438316398821927885661589437956409754676836646827192102757749819266620678094066962607714292777046710959637362441788966789919897742164962311508596478250651297893128066017377124797635406200529559683133859263814446680908095301172710689135224354235426029633625314616624326680246293282095656965874196856543098070655244437450089069622709211438009757275071442650044459105315673038157975852110372020288373920410172459105550961854138938701083022472787294078439134115236361957782818831995732938552935642828115739656192086744058238724558875169072745762417464843547794172399995474821952150951397926895367048950270955406254781454310442814581126486943027730552604662774657809003217125541417393643651190073652954830068993965556099035725451158790640642704100048480018820180206251592771304480845311777113347677338073000540385520919800248937251044692404334174056422410257574192317583229751082412090563747530223585994152601449649329019122580111256032392689909094116817428906125459649740872680204770246032719220639836474489898980268658434268304915329390959061390170278731471188307050960333608551777459367985510045099659953486590665703308096177565170116516135219070574923509582929507556682584044546277917865592335424590756268551771277549096145622763185154009358973745263422604647450141689899909681156545810322481902945241643127621032050980777717712685342544143317238721057846125264380807429204733364283859780105154583608162685938247577036280885915995965242234020109937962318538482170705375536751948478088884691016539034836181382125899693769931651542238583971922707921046220386262043521255578177436264724282736857020290314197231283643563123908877903098790920487977282586033125876220396745245053450583876545257959151506757768084733518864052863723066611260775547568249322152115211490717368654739042043208320701327643074274988492088665308302197940800386769721614901656616716863382009668891173463708221070622883964178244168073350101944044211363149918743477067318729051002506016892614179842080389924094040353134268826495112202327912187959106845315395792757137576468617800245209776744973737322178056671379575195603769063796415252284966069325251938569329118816046128002342419322080252762399901547585631818751982016553933719418237918636027431227261336641134189654660430409254215034365042526331279583772520516387685520579403265048918082525549469690359850017840466453273311589584417647711374822641534189574788594128347644816198295886837377724505145260064057761935186196990195830734862606147324896134769463309635651766267765368932940865163642082259231851259748513359343214460735995070759736766516913660065509860823996791217225479334137236964398262410224830237387095225361243909413949770119237092661526395327990962015117393122134388720262547371749318738511982607351432843376765186737449085728665001525629941671014303946433251815841662490207621017187403137021845690371573084013021107357555924572320420517423318180292317606245456043745819552798066861719905405240695609387146565093963969289946494399583616241359243119820456531883059043133390465308592568545237746973983119109523159806783235144628478399232226109223883246822866340231209914634320021289657501313908486025729932258254208466122554730391161071889117615757499309342098621284034235514622922133399943172832607186136473523905229764776470318752476720980802648427399490998593208907419318526392124760660237748372616955327686888439854556094641098996341070351494161639744434081425281525794898358617025215472655524315710017163801935861954548934754648232335707562846344741616572083889737557285062684571798448011746411610309383002076472044526516375765937326917757878253820819569040716311062170170692279104761122694314506218781079009265594034601205772772638629217650019549326949154227310466729516042604498794526663429393937121226585374174901756508445120254252504488616646200100433175072477910810489768331900682718224022838126418937622722488398448060963402442889696172836027912066915902033603271391791677749027110959073966238341964468674693344895510460440673844731167545572045867629790188315207970735565692688752093833476275547334258396783785818149002220839501156455499948173508749961543868318517556887550857719897164178257263171536727690114364842666849582361355935150258716446624218311493404352423096489701452811659385733454932809547534390516457200814593659701387487073799163587154687528604705353846511454842924808870930838145255474251443584217639233339516326111552626188560173034914808237082240378226473656469257190740314627946219810254886796185078298643398123010717327935509288213490106562971774585251954101996672356025845435208026349208838608605102368656211883811015722318916618095549188228264520472849257918081732046095872562788320025795576172492010044515524765411652685643952689213375000754935849547213075728074218395920472924740747563502461520034057285471088891830767123854549162636337218171939481969431858964052638215766331032000041958135284310699396123715270768371540236870098623409768705979066912040431838136755638809762906577648697853399765471746426303530514649917635458835904887149420114663217670228411843980015185846315330333549639735889751161148776857696082668126847117971054087546582433011536121140572194312281539230451688018236948834057244292777298907585800670792821080133679760881123196641039089625657755911915109291194123297756277104876876964008242931372826636699948643549878917574410.66
