191,345,970,475,559,720,133,509,761,145,874,320,537,388,502,842,572,361,741,041,383,880,844,170,419,265,470,247,592,108,717,644,294,916,033,546,846,020,209,799,447,550,160,716,626,593,520,423,523,799,303,975,675,950,762,739,154,560,081,497,069,441,901,611,327,339,310,131,905,891,088,326,365,323,639,813,456,081,396,063,600,273,332,542,166,528,404,772,338,951,188,264,645,196,204,506,222,217,138,526,605,571,835,638,350,268,225,200,670,324,050,270,891,689,947,637,213,502,007,707,837,597,844,347,310,684,719,979,936,559,609,872,584,298,586,322,651,869,864,574,999,641,082,462,376,607,461,828,577,611,874,132,827,517,152,058,118,320,946,733,868,368,612,208,346,356,065,259,729,049,911,320,662,861,265,208,490,771,799,378,773,848,608,891,809,562,981,018,646,080,339,577,464,374,567,667,767,980,535,155,603,227,808,222,707,624,981,266,382,607,923,900,881,420,407,779,497,558,907,989,133,916,097,489,243,675,533,716,694,674,394,799,478,082,044,156,082,155,781,063,736,876,174,167,094,996,947,263,896,141,491,722,932,223,997,545,439,927,285,189,797,295,731,512,227,291,771,130,909,993,935,754,042,160,116,450,922,149,779,914,242,243,174,964,886,734,003,233,698,964,295,028,188,378,346,171,029,260,631,536,069,608,610,373,321,314,008,846,335,374,362,913,097,142,038,979,609,646,008,855,080,921,224,786,337,025,667,176,512,710,346,864,756,738,215,449,275,973,329,207,271,238,268,879,028,121,629,335,738,552,329,594,923,656,278,277,586,101,449,204,064,573,779,637,425,115,247,485,951,775,954,429,486,213,519,094,248,181,237,583,980,943,382,626,748,113,556,895,353,356,787,515,973,295,390,428,485,150,757,417,121,398,554,476,153,784,813,638,312,200,933,963,768,694,918,239,401,921,055,817,337,493,457,023,944,839,608,042,224,561,142,970,207,418,351,097,019,513,087,968,311,573,643,166,805,600,177,440,331,089,483,974,268,546,955,575,788,762,439,414,215,529,264,887,786,759,056,864,784,175,327,098,181,084,524,050,451,681,581,765,139,071,224,362,210,952,187,190,712,187,627,489,029,490,493,325,573,898,816,181,391,585,642,837,696,732,947,884,554,490,877,351,744,376,713,164,451,484,037,389,503,286,934,950,433,300,452,853,406,053,614,528,096,975,851,531,443,012,401,118,847,258,341,426,819,786,088,387,812,263,747,968,986,969,476,117,182,085,487,389,336,432,313,326,164,589,160,406,930,059,874,635,852,413,996,772,787,720,829,545,647,065,858,804,641,712,156,358,924,107,950,777,903,769,034,835,318,834,178,451,297,002,353,798,176,320,401,336,792,985,727,395,779,837,384,913,945,167,351,640,905,815,237,726,068,939,220,959,615,300,944,992,333,768,079,798,012,251,327,212,755,798,340,744,666,007,982,875,969,594,694,425,788,688,371,913,005,374,866,242,555,275,738,707,045,624,478,096,136,007,187,613,610,423,286,815,860,488,575,025,893,277,349,504,171,045,938,441,539,817,671,942,181,240,998,773,455,037,891,124,060,394,796,258,685,524,772,463,637,383,007,962,332,969,490,025,893,982,814,517,708,859,653,804,465,540,962,839,081,003,973,670,890,752,302,751,958,155,779,673,259,524,329,907,446,931,299,824,160,640,816,676,153,309,273,506,445,495,308,221,925,263,585,881,406,677,966,198,920,469,663,049,819,040,166,247,618,404,762,855,554,971,259,865,475,725,049,291,986,622,201,859,723,777,416,988,654,242,935,489,408,011,511,984,973,317,773,975,980,568,457,999,637,071,622,125,405,154,357,352,140,709,292,289,404,903,231,057,045,891,371,948,578,563,172,818,677,194,392,322,473,252,106,896,337,508,410,963,096,580,069,962,076,237,126,039,745,644,731,816,423,058,702,420,927,528,223,994,235,577,861,785,364,317,163,582,099,371,131,689,887,881,971,705,743,001,212,555,337,273,337,633,118,606,108,238,227,908,475,879,936,375,558,702,453,475,672,263,453,567,828,866,828,094,548,726,043,427,069,583,179,063,295,180,616,630,472,698,599,057,642,284,605,871,843,437,284,536,782,051,528,766,450,690,375,175,216,743,419,548,091,278,433,955,679,024,737,619,423,036,848,395,228,447,964,395,489,590,553,497,015,865,238,000,780,598,159,647,691,058,392,978,915,178,339,606,081,895,909,682,558,706,236,501,119,833,971,957,727,257,489,205,448,161,878,265,134,369,160,737,329,809,280,534,742,329,372,106,478,951,648,288,721,823,633,965,499,578,436,032,688,894,297,134,112,567,923,179,153,394,338,375,848,821,716,436,116,797,834,125,252,922,628,319,025,100,887,607,813,542,987,729,585,507,873,087,567,233,392,058,635,367,198,587,848,065,976,872,013,334,191,539,023,240,438,340,023,238,384,445,703,389,510,025,212,587,157,022,422,395,481,939,849,225,603,518,291,476,302,569,929,254,833,338,339,739,117,310,378,914,966,123,208,277,815,380,633,054,214,921,008,195,291,968,014,259,529,246,339,423,102,197,074,976,119,821,427,404,008,474,358,319,054,165,462,998,473,714,138,810,944,356,353,653,427,739,219,958,371,431,904,796,511,253,323,757,806,057,939,477,210,573,385,840,727,388,387,031,397,084,654,227,810,965,657,437,383,979,259,441,399,182,628,909,121,437,223,525,081,696,657,660,929,595,808,834,291,340,348,892,139,082,889,536,505,903,252,741,853,902,383,274,395,863,109,703,152,964,925,501,507,245,935,085,179,882,295,816,429,891,359,169,984,923,123,989,867,292,826,434,861,705,125,450,712,902,694,433,540,496,304,196,464,237,412,895,996,671,275,861,790,758,754,385,428,201,016,113,942,848,605,312,637,314,260,765,433,719,020,244,240,248,756,421,781,553,026,323,308,126,424,409,149,073,741,656,570,076,698,653,579,879,996,111,744,346,325,466,610,298,860,918,712,103,078,950,266,799,648,020,625,709,116,533,659,354,223,221,501,243,554,127,137,547,123,087,446,373,589,066,550,134,310,462,049,737,206,744,628,036,836,911,392,652,030,602,711,152,321,433,440,876,750,478,817,727,612,133,972,497,311,829,510,826,508,530,377,770,640,492,893,189,887,852,568,636,475,383,739,222,549,776,662,326,186,154,912,029,468,485,488,252,216,383,433,650,551,245,294,736,883,701,417,460,969,979,228,240,711,228,324,378,902,722,280,438,721,945,850,800,234,127,776,119,992,250,082,970,009,478,513,624,337,116,568,470,726,183,300,226,654,340,468,072,834,296,311,790,671,332,131,790,552,205,428,980,940,782,237,565,290,713,383,060,007,838,629,990,384,976,736,023,627,052,248,826,051,385,893,625,939,813,704,047,572,332,582,231,023,710,869,988,129,054,580,731,521,537,161,782,845,466,062,376,032,757,615,816,649,180,798,766,811,769,123,771,778,469,467,587,864,681,103,067,821,830,739,827,355,879,695,901,690,909,255,441,892,247,455,584,676,983,055,459,527,279,108,469,158,713,134,429,594,772,885,152,320,305,138,964,666,945,240,533,840,921,676,019,256,397,926,796,621,130,639,727,362,151,919,751,556,859,644,963,345,833,347,750,788,693,100,584,545,295,094,931,572,843,215,382,092,967,295,341,160,322,280,928,006,198,377,410,963,781,052,977,290,701,186,449,818,759,094,366,230,838,684,281,709,570,228,253,232,474,298,606,867,254,438,194,991,553,699,001,401,323,192,109,234,736,408,663,186,146,606,483,813,941,997,913,951,803,134,447,342,711,267,321,009,098,658,665,358,585,170,193,597,638,690,068,753,845,953,190,855,847,698,776,786,122,844,511,532,251,023,559,531,717,041,195,846,497,168,644,438,238,433,320,962,108,634,829,273,052,665,444,985,427,052,460,046,306,827,101,249,360,623,264,922,043,928,576,784,183,030,948,929,431,629,925,037,583,377,113,708,601,966,826,972,846,767,151,239,540,698,513,846,349,212,762,683,049,189,358,511,722,478,670,627,836,839,670,471,525,714,201,678,653,872,384,406,405,833,231,867,714,555,316,144,545,795,697,896,495,253,366,445,473,983,455,065,757,897,805,918,611,763,593,088,342,157,763,180,091,363,194,585,810,073,486,123,472,351,592,412,081,260,747,185,389,498,230,393,864,623,859,818,716,197,079,812,637,194,613,348,417,127,211,522,111,748,229,928,983,432,124,694,302,270,424,039,912,849,648,246,984,470,848,159,250,227,241,886,011,132,043,124,910,954,747,648,951,673,394,694,436,312,802,084,665,219,331,598,390,569,442,023,334,357,487,832,543,002,723,555,315,030,151,382,039,532,958,761,819,630,090,415,724,160,891,091,360,660,711,839,822,732,790,747,031,038,257,691,561,483,933,274,515,710,140,476,592,380,284,666,555,038,715,070,064,817,983,474,461,627,632,473,668,765,776,306,000,693,508,635,277,822,253,879,173,177,151,978,829,316,747,072,044,963,995,909,815,985,480,180,451,604,613,978,867,889,550,337,539,807,262,261,944,979,749,208,376,113,570,410,476,372,809,723,714,097,481,156,552,294,540,439,987,324,831,914,470,520,714,066,634,952,192,666,729,180,943,275,362,464,612,721,976,548,304,768,003,848,294,420,041,100,362,812,100,200,195,161,243,779,065,278,755,887,108,900,115,150,344,857,762,379,086,032,166,562,358,689,130,051,739,892,909,058,682,847,844,564,581,598,810,333,978,141,702,831,540,335,852,876,481,696,064,989,072,104,227,904,313,965,064,896,070,460,692,513,521,689,783,836,636,259,403,046,187,647,125,713,188,961,410,070,848,107,721,692,037,128,871,228,984,226,520,803,493,120,097,629,303,082,500,810,134,850,891,631,158,855,481,160,842,760,848,142,844,447,929,324,436,334,724,121,152,125,074,783,046,832,015,497,608,493,865,099,764,232,080,993,751,435,111,956,505,851,492,830,564,119,992,600,047,048,050,317,011,797,585,737,491,310,549,740,688,164,642,164,817,468,156,556,056,036,376,689,670,996,027,630,489,878,158,340,173,069,422,055,613,047,533,922,322,060,220,653,227,680,993,527,467,701,206,086,397,306,269,619,114,088,662,181,027,720,837,247,943,383,836,712,731,467,855,730,999,411,610,063,955,898,438,459,412,976,564,009,013,513,696,224,018,712,889,382,015,704,751,378,649,883,375,982,510,967,240,504,558,633,027,720,085,839,108,649,543,749,113,482,485,234,963,295,236,728,858,489,499,650,912,005,591,762,879,361,345,943,774,430,662,922,912,137,756,570,437,399,693,513,316,401,524,597,257,777,820,194,166,014,258,336,002,024,838,414,830,901,527,733,392,481,784,445,208,982,250,854,442,198,323,131,021,715,301,005,528,954,597,915,465,790,264,957,350,041,261,734,422,863,873,349,844,726,039,111,489,174,551,369,797,528,059,533,836,910,610,175,756,987,855,687,766,097,247,054,072,334,073,054,971,083,018,835,276,476,544,437,935,126,586,129,158,509,587,058,616,860,077,361,047,541,387,510,411,554,626,957,754,302,766,339,663,927,366,936,483,371,115,520,136,136,171,041,970,448,245,751,552,527,966,467,228,270,543,823,880,382,143,886,321,672,703,297,549,118,379,630,151,314,489,325,320,963,372,213,150,239,625,542,236,946,316,620,920,757,390,016,553,688,816,676,550,843,218,184,065,404,088,429,952,555,701,353,823,424,290,845,375,013,470,175,552,198,305,579,995,592,860,409,155,338,080,052,002,276,214,745,839,737,400,605,446,078,726,628,825,861,707,285,584,463,277,585,684,581,029,559,309,876,859,079,661,918,252,096,918,331,532,488,434,209,630,039,401,944,164,771,105,452,521,398,351,924,505,375,004,235,830,209,407,701,654,490,250,187,461,093,445,493,231,207,779,546,095,025,402,919,467,657,502,835,203,047,449,658,762,095,911,237,779,424,501,937,407,787,257,536,730,952,432,141,245,620,922,245,557,442,043,744,836,150,915,377,538,648,122,073,765,359,385,186,155,545,603,570,603,972,491,907,563,627,732,615,726,878,382,837,564,308,228,332,147,454,286,320,747,493,675,148,028,000,732,841,292,476,239,048,222,136,221,550,441,820,959,887,702,681,208,171,085,991,078,157,715,646,610,844,330,983,103,504,290,199,953,607,609,616,240,833,535,532,675,547,434,085,866,838,317,095,256,925,531,755,945,710,478,747,763,400,246,754,717,721,688,622,166,509,786,406,750,174,435,015,785,593,291,121,933,556,703,773,653,381,571,841,803,837,980,488,288,558,692,409,576,269,615,085,694,597,717,587,464,414,314,430,228,184,965,156,497,852,399,616,765,283,107,299,137,861,486,759,221,915,202,697,690,432,160,160,529,476,028,360,176,117,876,444,059,405,442,847,371,396,444,988,989,245,613,891,550,972,491,287,139,682,526,423,762,266,183,692,634,174,055,249,769,310,182,277,699,573,125,619,660,273,739,710,034,956,027,402,059,087,702,842,061,697,810,742,665,898,230,972,758,333,723,106,940,442,409,269,609,490,083,246,861,840,142,542,077,396,169,808,481,567,424,547,870,271,695,203,840,909,871,412,183,036,794,246,888,332,851,728,990,839,780,061,967,554,536,154,289,772,948,868,862,993,806,721,285,544,058,113,258,822,966,511,004,785,739,069,571,669,240,914,316,253,213,010,141,269,347,569,777,260,784,026,874,999,474,174,997,388,233,780,150,595,543,669,809,453,491,094,621,114,848,639,394,874,827,252,397,625,648,865,587,902,815,755,793,972,344,933,089,039,298,467,469,276,480,122,660,156,888,456,989,042,682,754,356,593,481,037,049,352,396,693,519,073,838,555,319,428,803,267,758,801,484,321,986,772,080,175,242,057,175,780,673,620,309,578,481,054,813,875,796,667,364,976,665,659,324,708,842,749,842,914,383,342,094,767,660,112,979,426,943,863,504,701,796,111,014,007,050,895,703,605,904,498,819,410,603,790,513,997,246,289,457,156,459,293,461,260,920,389,090,436,273,193,369,785,386,775,607,173,828,996,738,426,785,613,279,082,149,506,232,551,946,073,265,552,884,101,071,911,003,371,127,762,062,382,116,943,790,972,180,130,483,379,306,160,793,306,852,499,168,645,700,164,728,606,946,822,074,251,709,955,487,217,521,284,002,806,263,167,045,519,156,702,342,012,213,664,004,402,201,504,179,377,635,598,119,777,591,423,238,865,499,573,131,995,168,012,843,428,053,350,093,801,627,457,494,766,961,894,984,619,895,444,222,610,674,609,370,083,136,063,794.517514429801693184
$ 305913882476880784050375514621989915349867541766074586772503316981627121154212263702063897441121473665465487313806214968542128698032049408944964539418671127651733284992199051163383749699786722833880666193588274629700974961045569531830544741327360373943590211158752995080192480095097362347808653421878296588512888804993873619059910995043533132696339460341886033904744586591714252822719187415538376506162251966986927939046815143105215567622772374405364033276480956328174728359434903568940541391844701660804444510524187185607630963990196217886882283884040415959085975561197687392246798201310674682263240566730653841680750255489033194836275089001525669946548139735776495373912910346869724529140272568827753060947814606080541084524659469990120200563345795209095041866303712034659303528451012814921391582434357798027503090952365115046712117757195390940447349066244296598684423678848422352452089242308065371793466478792112216521082694822521928309927555087618041063894381484653626108183299366504617879247850976992218530767225066509885939582438685942173020664524704768405977025079289811852912386634483018188350518458534280459059833617386393596571828582146752267969032659638846604111203324170515013670056860801131234646929286261647418927071954668042538650384636902161975145891190847161864496169174167343469167761219895871835279138014105444244196793032989665478132124625250968774739257635646679567755113736700891907912542261336571696877492287943636975216014442734987385125989299848896079317014513516731062257236049946406354209495848522464848088191322442261634693021164212965063617756441622571598186033567599729872394394178302858000646165562222487878892377396801523415721782195192661654799757932428869213231955319944790237782730273240490318111562490726178283591156950079452771790555965381473117104721200144892231376862496231751719476541830471096701665877615559453053204122538331127542193249253280287040480495900686654449514076473286916449003695030320747050755940441173305647443095163261988409962389470573154186408748568533755503617168744639350331218732035591968264163157480694270882842609322690568359717354998211171486484241522988499830184891417606481855966475961291305990275932790157062883117284780483540239401722804651272098508568234847654380106506346120711302211564953442879351312092378675734326168568009877890574008978209976417485641069778770419552034832638486632413294371471404371192838415411077421863020132301222675458980965618987300728480846574497219612940974209219543071171256133473277750078900586428477876641301426378156372035461014272474874221400747574820486159817692224117357019035513977126144788882829069298016142836365403964327883318618433825430240545225019820768754236137075490666352175923948145991870864243715838513610256407477895183654872097171272293149149983276613869716377054921256212231066093610810729283732389019462788699492926658396375215497055702712489384499416879241425956444716122256192726797825006086780420750718603979296072002319980560463958909576971723682314813198787958350807562684183386270532576648033055065494173636584552518771565664354179687915974350714899742151759010727873732043129324255385269224986793219269069815277581770587548309461887124638781270028464244475626715689501309607349795523219193976015622102999291163035952088830171799216308521796491451674829924707733163048359081557359530717820296369751823402822023195113017780912567451472243879975533913152538052566172218346088944962556588868272381264496776298513009727514020977399006795621209786475376434618795558802567323092040153809183556791934209418215444240447867304957198564632057769912138904520150782431556320357114869337390505973857488487484452739101194406600240156940522691413851245856081805037251336540181183392177246809979666860448537142168265199530112601073203791615593039324155998990533998079808221667365526659042786286791435431535290402304407266466916032656107988318408424930790779221467497479020807925795966231954507123169729159822443065585637578238009020518052778581067252252315345033941050485830754255685643792543138356937648298830952091804066018189864661104615040612704606748411068480493739510653922925226506736343100957132607826907626249972672021088892777870557710023053931364550466381906536202892881988240108884855389852543138734728891043765051853475971818372155446226048432039627763664858351647627895709188502033488481510244603115659573159926156152662572557075138601405456277119333464969378885787512457397928679595210659796061435238635332434084017976735501072921356575826497669242206526896422006167706145938202228083520445865572315061342956813681177033199371916420067827255981340763565784039471162345570012080732975360209725290006000813286086363229134201087231136349643344022715302911618162629424446852562888258770007902257584422380033283565193754878041803805981633891819872166316566436516828017231681669657422936572235873082581504313896016755058676230670030237416319179819608173225215501198391030680335345454507798413512173927625099653811928541653567885498920542145724978674667426991512673732440788198447339763134795647763911606376861052882148722539153231509056198965581143390375627995495416306077099140021487454729006118222731102279771545657294956505627107178084006260302123580123589945822047234615560592649577706545458064583276134155927665085458496971167593910354418063245607920044890326076557092670985107488276279103376097352033300976374926489849875874759817268918909083670755940687946323306605393722524685892031416350021458125727536064554992846604100550791375930796887072507044901782302913235977331896300825196477681950895993751478328453832558063845597495250322739711435190824206943791696295515033008288113660690945662796082180806445209586098157700669917589458246413925294743677834412703722347183304014563724242082165044548333041501737413887661050430656415018471538525803876693151419352874787712931351095221807589956618110718585605135871433972253246564893314459691392723707115015440254468228559659553713625210488333488894403343461420378515937529588920761883370240602437145859209087882389903688878419537638994524092028356927122871712263907583476689629074912837865266657555675990195472163918602435300085722584727749011483351540473709665457055743444358800143039887611998229773490195720805071415803718694028066165424164591087293470506680223218456037694044888463957068899504612160817014657588423183283492889771143720591812084595162920019822379615467504111890242172135224390445189550053727299752807505091103146802256084358402153660392046822170070822601020883686680294512481949205039102873105158068780002304444574056691320163844498857472645211643917497890340831186989578393583111738440209550917203462469648391559356038935485894406082748259497847078029890974230470014291909345695176232198432894296424461583022235107453665002713428660573723203192056823492572784551497106551935413800397139063398131941183078999338549902965107933992778227610434847728729142500318859882025261685160101679952836884353607121931506598692144469288009742438571869297703520680624705136391458126724677210945191424002020876785318508841812009120186947808004321757994877160994116859124249940148209293519275533208569360311635039565898138911254310238052290200077357430903863500043658132330423930699802563825941404107518812396528133284109336942343699609338210043803476992837500674381654040827483646711964637036703820820758619924348037550472571978088397162808956513037776595098604048515703353197247668627845171171369910829033192409221262930289168721262693873919086351524328298507612873614062865926030646463569301798662887476754783774877771006402866350644050737698187412853347612593912481531655016456077083887304922714293378080148911644411462562234142941000159131086899270571752169200862737878746378674606076821063927316686302274240639283687712075608867100807584395120030582996035150252517728095494817882226556291680311375107751264528367617738253538022665179308435088738452046486579185556360393920512966586262980503978064845380407296077928589012193886978566943043111179216313564403055043365168145769166742193875834552955761814131444394501972927418972855180293110658993866314937464671892579292191820174419306237022623225972734896733603437356850375320737725466256279619602177137128725934756320688969928496677646634861291639582559725773465831075439394194722229111824418197255675661989208682960613227009039018777420048579320169769707152780993505867454651007357491129592204750708688415076338154503807481431831332318194601245492580566867102519582870875845538522003892930754057850470387282676106220581385856629401256013209992703799344055690414641976011506414686209745598592847031585505129134230184328387595189170846802397906732722293141396429756162586850310792948221955403761691269491700750902057063257320601285254191251846846820869877339335627852137332900740266798773565115612373119695792104950528068984210850764922586648416328738448207656878182101350804637967228400842960455508256214175787154192353386165639651840327705133769819661939461865547960995105239086549246603468061782045193158747706772936896483464275029093238592726437598230237146653887379019275423380837551602764681604670905745410425738186870044576109877205305125125798906949501859928012782792985164818206803700321395010281787879843760394625977416844846421054608861278684119033543182602686037208240064577823837257617742131185894483051904601549414980540716431602850918849280607047215496283630129165302557334298069337478490140579388505385867855813405825561711481969650861457481203983706208139564964908382524774066250741210011906459457472342157784330676702376056258416156199175578474978251409358390558454177012280516684800828451192114619026752525889120528434338834666376824871949096275969516231139052230921099089871677178217873796484945732623370758338122681896176874060007202077702935327375328993619945494178680494967560753040664099595984482498749716345616119527240502523505055364.45
