114,585,380,101,146,132,732,133,835,106,693,801,496,393,070,846,017,156,533,446,952,449,217,843,958,106,806,525,780,521,205,408,570,740,439,697,272,654,490,416,542,030,168,640,220,382,042,529,131,499,144,605,809,127,584,100,647,138,618,226,443,363,293,991,929,500,423,362,576,858,871,684,450,655,859,780,980,899,440,404,683,888,831,357,714,851,934,016,388,566,017,171,435,970,003,970,332,033,850,900,924,614,958,393,375,742,615,709,649,664,346,724,531,800,928,575,944,466,668,445,620,078,114,116,087,140,166,949,994,200,899,986,814,209,414,873,763,176,869,979,935,047,702,844,132,091,739,583,784,155,153,411,171,514,329,102,178,085,120,008,941,965,297,509,559,639,586,695,850,286,882,872,970,027,544,746,929,391,399,753,119,145,311,984,922,132,295,004,187,071,115,202,919,622,117,418,927,532,722,281,099,131,077,286,712,570,806,017,144,699,422,332,101,635,343,485,066,354,082,820,255,088,836,054,540,837,047,549,581,186,118,443,515,529,934,945,513,206,062,996,101,640,731,451,079,376,274,112,273,258,648,917,986,665,477,387,387,375,620,962,429,598,651,493,599,980,093,050,816,020,271,172,621,228,480,536,753,338,095,707,018,991,961,018,518,084,396,549,006,234,088,860,235,677,652,514,634,280,767,113,980,159,401,578,791,413,092,237,984,065,185,654,460,927,861,921,031,170,566,124,950,869,263,205,979,643,995,892,668,829,713,925,377,811,319,664,424,307,506,370,132,459,078,692,935,882,835,465,866,929,813,952,858,319,897,321,725,122,365,682,929,566,887,041,469,218,479,080,528,343,126,470,013,483,345,472,346,462,664,888,585,733,444,574,631,386,312,540,207,930,802,113,143,492,746,535,365,499,328,467,572,642,868,419,612,164,572,793,593,077,953,287,593,186,967,227,002,851,131,494,406,371,153,992,448,282,726,890,283,344,879,363,647,992,976,427,027,293,197,485,877,587,701,841,485,703,856,241,665,147,538,317,723,377,413,580,988,355,922,785,894,838,694,502,597,570,717,965,395,706,747,943,339,163,015,825,084,445,447,245,148,122,851,562,508,859,216,113,356,948,244,990,225,501,297,115,559,786,390,844,964,146,364,818,472,995,858,534,790,142,910,142,357,041,058,697,897,299,189,100,796,366,177,284,501,280,544,195,792,479,169,317,767,288,635,061,514,194,919,486,314,883,773,604,320,224,881,423,985,950,320,456,809,492,626,268,649,397,905,574,128,790,430,799,630,155,675,437,773,011,466,983,463,745,855,574,337,711,440,077,962,247,025,769,163,223,457,429,028,935,363,384,993,720,314,555,043,223,213,821,764,046,315,356,006,928,045,816,561,202,138,544,946,584,388,892,232,086,744,539,571,216,579,475,487,658,837,098,912,891,164,870,645,547,032,532,743,800,618,055,914,392,755,369,002,725,094,229,104,027,922,010,820,231,716,142,938,518,139,816,288,279,951,983,216,203,179,183,507,954,727,106,597,432,659,071,721,841,755,617,094,090,562,123,771,214,334,178,063,220,373,270,987,467,115,154,530,518,586,967,853,836,285,651,472,648,153,583,562,466,240,940,921,030,402,921,294,852,951,343,400,167,477,803,363,215,453,781,735,876,512,489,640,667,191,888,784,468,076,067,210,283,895,762,721,104,869,253,004,288,782,720,144,793,412,599,554,780,476,214,201,252,028,742,735,766,647,344,673,414,427,463,811,785,420,552,978,815,527,524,274,715,964,243,000,656,227,473,285,658,668,439,098,665,122,198,135,928,686,939,252,843,624,888,690,719,583,883,305,408,376,277,990,099,711,373,653,558,794,402,643,599,221,983,406,621,990,218,663,675,678,413,708,425,873,471,894,007,756,302,808,524,522,147,154,963,057,669,316,030,570,487,140,312,251,499,212,650,130,571,484,865,513,435,239,296,690,016,206,139,133,757,865,774,421,143,265,579,375,681,921,179,783,684,473,752,939,413,582,221,883,586,024,278,785,586,564,632,322,402,898,041,249,272,926,586,372,819,654,266,544,326,785,689,372,312,011,439,713,056,823,026,250,794,501,422,145,844,263,415,635,636,001,329,555,256,086,693,570,203,583,071,376,371,177,517,526,312,923,768,778,865,495,456,032,116,342,297,751,655,825,371,233,181,675,732,326,946,410,480,591,821,439,634,987,071,634,333,083,423,225,927,194,651,791,194,399,521,041,613,683,300,857,044,072,513,648,775,553,492,426,136,904,689,394,074,935,651,359,589,942,748,583,422,307,301,076,163,177,100,231,037,559,858,239,439,640,253,628,676,668,391,391,337,928,226,069,254,257,486,328,610,873,283,666,093,837,802,963,496,587,092,132,740,715,684,639,442,306,742,760,032,812,915,494,683,464,952,464,572,895,311,483,463,579,381,762,858,732,961,617,099,697,119,416,932,718,890,709,602,381,057,410,665,038,239,501,538,291,415,645,552,680,928,426,112,329,922,645,188,881,208,605,378,511,840,327,093,708,363,326,727,045,321,102,320,069,972,527,604,040,761,214,649,313,600,086,929,198,567,982,230,966,654,569,049,661,741,139,041,049,241,997,796,974,460,556,871,985,980,698,401,825,447,468,489,173,790,651,033,172,779,546,524,059,412,638,922,796,183,210,814,073,257,723,854,883,536,369,176,533,060,696,082,988,959,235,760,846,037,855,866,950,410,628,705,252,407,808,605,459,683,026,106,068,130,874,145,842,689,664,314,279,742,077,843,566,050,407,070,763,116,538,503,506,125,821,404,108,889,616,504,375,839,358,491,674,959,644,762,045,648,290,001,527,207,542,919,496,822,467,804,899,942,560,155,648,122,184,259,641,666,057,665,536,617,717,112,415,704,388,317,605,673,323,902,627,436,585,274,686,820,645,493,391,655,454,800,746,151,943,804,484,622,167,382,915,520,633,233,095,065,203,564,472,468,116,396,983,969,643,500,484,507,641,488,267,890,942,628,861,899,238,622,593,452,485,850,154,502,216,274,201,893,057,082,122,824,361,635,391,755,845,309,735,962,487,142,651,239,112,185,830,605,688,368,381,635,486,095,590,950,980,669,368,176,629,428,743,377,614,728,866,269,683,297,524,189,822,169,238,379,733,182,385,768,974,152,565,090,198,533,434,589,978,312,890,763,505,698,467,065,954,906,023,848,200,335,071,932,428,794,664,384,491,586,560,616,349,119,204,764,341,969,465,973,075,862,522,307,604,677,290,110,240,811,459,202,473,618,485,590,040,846,005,250,997,973,488,264,520,328,120,519,846,022,786,504,307,703,037,175,227,787,639,674,603,255,756,332,787,342,234,566,554,839,349,561,023,135,251,625,431,577,967,165,470,913,212,908,395,228,362,433,561,043,934,997,905,066,877,588,886,438,857,274,880,198,972,217,740,519,201,393,159,287,811,176,585,482,191,468,628,177,611,049,717,692,936,206,154,385,240,480,106,198,893,362,644,831,787,642,492,164,940,917,203,489,050,460,212,309,194,424,166,167,134,305,406,029,607,684,897,405,145,454,523,393,860,056,420,027,187,845,221,059,652,549,681,005,771,942,875,332,707,970,070,892,977,470,712,545,907,370,710,559,200,046,451,587,988,681,593,040,075,175,014,859,140,505,582,613,543,839,555,110,840,655,415,950,873,811,044,812,040,299,400,044,367,071,287,911,006,068,030,043,153,131,521,418,145,869,025,400,713,319,273,902,077,798,730,268,883,943,693,431,830,862,079,435,932,523,678,454,434,174,658,153,354,231,155,001,674,885,181,549,064,655,244,331,199,522,973,867,274,561,813,226,733,123,591,491,091,511,903,598,765,366,231,507,240,403,624,382,715,576,698,948,281,862,980,429,914,262,066,947,885,666,036,651,075,681,616,182,182,119,364,023,640,208,918,104,802,517,114,247,012,240,011,457,583,262,295,430,267,083,887,669,633,364,570,126,808,625,917,363,727,534,695,562,377,030,506,560,109,902,842,527,702,979,322,755,057,671,900,985,129,847,775,526,099,386,259,503,438,819,793,762,916,729,250,118,495,021,850,288,733,858,568,472,544,276,346,121,045,256,981,910,654,242,044,997,970,648,889,182,911,906,502,612,191,309,905,322,131,470,169,172,233,942,759,625,199,498,286,301,021,917,018,379,202,490,443,221,704,155,875,599,571,497,292,708,739,250,213,654,472,874,871,792,470,033,458,816,818,930,799,056,108,072,544,164,003,157,062,015,884,161,267,368,406,270,176,031,328,137,006,830,837,012,850,908,772,034,616,932,170,109,298,593,009,185,002,677,956,562,543,437,660,648,180,265,330,385,659,198,800,164,505,004,960,444,805,092,265,514,801,877,581,511,001,546,899,883,116,740,739,426,736,262,433,572,234,594,433,226,815,701,133,984,598,764,965,099,843,517,536,310,029,531,404,822,636,090,259,298,275,268,441,845,063,953,314,422,652,332,241,890,818,591,121,753,602,467,366,409,549,130,382,100,921,976,801,595,123,775,493,126,631,987,037,863,828,650,314,661,527,999,242,253,370,167,448,556,153,385,652,536,555,817,828,095,813,905,676,690,207,618,616,425,945,170,547,983,359,277,381,604,531,869,763,376,532,005,779,677,144,409,878,747,864,042,780,531,710,770,903,735,439,332,771,525,351,997,279,367,971,425,895,361,630,885,796,898,215,732,870,616,928,605,344,169,028,026,271,223,489,618,272,609,275,135,202,586,556,575,753,046,256,215,182,380,839,061,960,110,832,071,490,938,446,468,775,700,309,628,271,351,126,459,171,445,302,191,868,243,873,203,528,414,622,876,811,154,658,466,540,313,675,492,372,210,029,099,925,863,319,899,795,503,769,045,834,027,870,913,488,267,479,614,512,804,809,382,133,455,037,522,760,731,568,919,780,518,004,698,053,412,574,135,576,709,103,339,588,799,346,202,921,911,190,196,407,021,485,230,907,634,080,520,701,543,531,310,283,528,092,254,051,166,271,985,881,631,161,638,835,814,447,704,143,730,274,486,151,777,209,892,960,588,155,031,241,849,622,167,177,416,331,920,207,716,109,558,111,521,464,398,949,820,479,387,349,984,791,278,317,188,397,790,996,890,682,439,650,461,562,742,737,038,196,768,785,180,666,045,621,002,673,011,759,571,000,776,897,071,462,864,313,595,968,233,461,554,432,205,559,097,259,692,704,793,669,350,426,315,287,971,843,607,646,329,021,618,850,219,110,604,145,871,512,782,389,628,125,601,278,425,387,386,571,182,099,197,419,380,725,040,072,311,814,190,333,314,529,036,115,916,080,659,019,291,222,184,098,809,609,948,440,628,303,833,172,875,944,098,311,575,551,761,842,487,557,588,023,374,644,102,249,907,840,963,887,912,105,679,762,862,022,435,035,016,529,682,968,641,690,178,762,256,955,970,184,267,150,433,929,900,406,352,086,602,138,009,451,557,551,705,105,827,510,249,342,974,457,468,691,094,309,347,060,632,388,332,987,554,789,718,110,576,117,957,361,538,089,115,331,289,851,635,915,147,581,804,726,222,270,070,287,629,752,831,158,580,889,268,381,494,136,062,333,246,276,900,772,004,514,965,577,370,385,927,770,713,408,488,198,409,218,592,736,612,098,450,276,743,689,374,155,777,631,482,974,409,065,119,620,402,505,783,784,192,619,321,780,215,013,034,545,226,073,461,736,542,439,978,169,608,027,586,708,008,463,135,044,114,823,564,367,750,922,818,245,776,407,535,250,454,857,963,855,940,671,510,170,723,681,141,111,779,884,314,487,615,792,061,221,593,826,802,845,908,772,665,250,095,378,644,586,696,858,770,789,347,411,784,168,190,947,060,870,138,963,407,589,407,182,347,266,619,179,305,821,951,808,545,914,144,600,346,668,749,276,556,206,433,595,691,573,512,970,857,399,259,125,629,740,797,251,048,272,708,896,084,981,978,535,832,239,660,044,808,681,959,301,654,752,880,007,598,134,619,089,360,522,433,967,234,016,714,010,269,327,114,922,177,481,606,177,976,531,376,713,152,993,474,383,363,898,364,498,770,023,257,732,792,143,459,490,510,053,348,361,109,459,759,573,934,686,944,916,356,043,479,503,500,999,193,998,013,146,268,879,484,711,826,565,349,647,998,052,715,205,137,728,490,789,648,620,332,001,426,558,381,617,106,200,685,590,311,243,848,831,508,751,059,716,102,724,267,441,176,207,171,635,043,566,809,214,472,722,619,986,131,318,645,382,064,346,152,602,132,496,084,223,200,009,644,741,712,561,415,717,794,411,525,922,294,417,811,556,784,852,095,359,417,733,286,994,365,523,583,777,444,756,942,525,291,098,404,773,503,654,171,404,005,615,768,581,579,167,210,138,049,308,837,086,555,934,174,888,440,034,927,337,744,936,611,104,437,469,648,580,167,749,341,814,609,272,438,646,158,371,922,866,258,004,563,293,384,929,284,435,545,454,537,585,103,080,715,844,199,573,498,318,694,343,207,067,355,166,704,039,325,372,091,334,208,471,575,505,981,546,374,245,093,259,055,538,874,049,546,296,790,137,772,553,184,323,059,748,104,066,102,172,846,566,494,848,269,095,053,027,119,214,835,016,585,061,854,703,429,534,135,063,885,727,239,036,241,364,482,796,114,247,036,304,404,708,374,057,647,369,854,337,384,690,831,216,304,338,656,570,459,899,487,204,955,699,154,938,222,054,538,806,763,035,248,571,791,450,471,999,554,990,157,977,922,850,532,512,737,774,589,842,979,482,760,218,680,505,993,471,060,776,713,032,112,280,295,988,900,434,207,855,575,586,865,702,865,631,987,484,981,124,346,246,333,017,029,462,598,504,786,591,208,109,960,134,467,007,644,267,360,495,281,889,418,444,452,187,609,829,305,928,586,179,122,882,131,337,615,065,005,421,178,504,861,221,925,125,823,895,945,502,330,208,828,068,734,248,570,151,293,356,716,205,133,609,988,586,875,532,492,815,006,228,319,979,614,226,206,338,205,131,912,831,700,172,726,043,727,112,441,282,260,378,678,583,148,032,694,690,828,370,260,969,625,267,586,363,007,508,437,886,842,867,600,609,554,395,377,578,060,468,208,832,109,940,583,993,539,631,953,317,040,622,278,752,031,368,196,930,742,557,178,934,365,316,936,751,994,233,756,338,440,735,134,656,864,685,231,127,484,827,345,403,801,598,462,802,407,459,810,160,731,597,533,422,619,788,165,763,354,857,484,294,330,042,807,488,395,491,219,755,889,043,909,369,802,742,771,331,675,288,119,955,347,373,504,642,226,592,079,591,276,244,102,174,996,273,356,995,438,986,474,213,492,278,442,978,319.211600621942603776
$ 932478266844887882862878598181100165803344401836321722633301236695287803361433940836114749963532819366422395528029759952401418657744234048900943274316118918931933682002558033527739847772170042273668600654952598925243830562292998634725978088058309793882141406376201292137000597070963900578517166932460697398063597937211602915777132923349286006235294256593158713327052254236951318787397779279826842797723386228421159229712591685220291286030199436093629473578513302490701699199775954726275144505628960671570739146444225492666594590347087856786429958407160552710186479238462580144271484965386547888702738669763021015525563160243052293864409983051634022813203494135527307506888091331515777034687379322254197146910097750432743159373170569286655904294599996981338626879561706026997899012765829377904922425246895673030575014131549588391620226310640669757552533377852939279941461877090198498877486740310956047892449509908541523228988477658393306293873305620162746854569136255842114930070043910723889833284504971554436855849478256168413381646029890791822024092977923305512701241627065771338984533882609079681258393686276917741548954062709404073064162994408644311015644020483117141149250436774200931100631676564629164138102661038807849795663861039721688534362360435562245509533282714628989592079717600001326953577085339791796260376022129504697832312528750956439317936352732541617830875180456834191741385723179363114805410710201493520546855532568671014634585974458420636633017267438147885072659704266567426615640126072494693162777114423420252300268092615908936716865403032584568779613961897141559562009138429870963090220479808892949052182153480845408070336562027719298217912328878775203546554480249795894118306249984678802260530317469822232344402086196056587017732912957354326047740802998413997795591269438338476048210231873440327505760742058862815539700958200359039870975094631738739596743492063517813113579401857528800676214572914911386437969093367481602286170060100271602647475228471062673249424987233207617511993784299042564731770206270705023301698292104144815506716519961543042675411812867087892435420929266682172911590881812178997844957916141027484416983398649884423835833062704217271336255455134242591927896679289495588448308682990332121615928257255866223745478915419184673985704862038670424133605728229868718839267888555318194893332323565305793898454201003765550352665339107179681410783490495340939230262376347349291196505418187675057335392519881832346560735708444116093886675093354554389314258817561737961263711892816867223990000138889125286955927946152167816776328161396418376455927852339399631254411950269399236669156350643100775308780316870431871953758356472821578928338687974891094731706366222824763849536493031940191206857823306071425153965285154403824393161354309939111479454408730201606618323960865934283893069027612732154610198000098638449906018483309075240228374207731188336492620953793853784479145119495320625047398080438579179104254057341922463837319621019978359018536131214354227545654769106540708389949228444635807409365221618425365691550245501906276835563331363468471337953378616723825898586158346457976628684140706194042750218158464364826589595495447068093737752025237584893551598769379920429716977155669738576606154730662850661640870222173795612424067101155370871088031969621348746771008811491924956352615974821375146741578428441948590332586611601767874928784250381763873363624821978239816892503159006904182910892330726655453229076553880929612353247360033031110452095267210497587998941136647877164454220384628839594722730835100734864204985547010411741786508739341658944289454476213940072199754956994599384532062370173080044509732554724369846531385712406543554651356877181460400790902934236174867031221774296748548830225602388043449440150170542868449399497680726860455307245121139254865829707218957879354470885062157439864568075901507634220880428933762343997774486152748122535031096648948034550245810918949635488758595355302911282418921915299328419594206321956305251873883520432577160262105018239980979290865576164073206020764371497899874761584535428520031704806018743789756813405632752319350679877431476733716506302540501375583659682964972385072334707957886674901907573560719092475667538327293479174611458729370333924109063667172781095392657494901622623703288173058502142251920801892252909598265180100676010563637003802790085559674066248816647745693166158222516251456760493365749593064961942912128349061960109583137711513520243782282718594195448135800148543557855845140773605410750287255081887554214947830933541877923996720251223186609852968678140234109768799512964490530567754773772478466416097232387390323557732716279912057414503912220303761686955951350691624537135648007282491096113352645629785231950066897591395662315112178002038397272093813983764089324846549784481769720215292464641626168445936071426585887521137953200909244272715038581191014821545243526960059588441032166979138147826709278784922584087029892076625289925131797596433016496059585183796915542875144301966658389199629395171192922036207779633715956751290919922511261689747910414104044153695177515605630929066445956351249981734192551227491290182111122727120233435296063282053685393039486473656057119864657846652475314848337659760899190915714466340816787695716592144486777667717990148262046880266743446740588120811074525433391879348122327510427237642534949844739310752993881340064900955240076308509295351252490635660494075167883676196158821302748174353588610352799692782479395879737999062550354101692309252644210035425833587832671550483578189897519443045251741305054135080909442865411113497802488777303719335305078416938916796181178245335157375281597763703521753776926429242978280828937928003209209602208692255096685118854298338450206461897682159428830460059353466768575529079532521324650604659970556977847678184162395582069144558399802142807938476173131895433066241650859753435408128730747429178021407205610759198669269249825602923397473501966985784781779057350386096105076871189691501111882157749099590765406795583879986434070898976235021754206934807175170828229223696101711715662249777795204972584143979353121508297997483500634047422236088467695382819987077163387339530908397072232484478570818035208649596346795460807684370741441161597503159211363480847102487504090233916538279873558936659210348050766684847722830405671379872303483621517160365825972006142661252796641749789437809532715866678201918120444139916769067322643271723865753654411087289346641059288476430087634977550890856395712287335900095321873537424514385587328817282704146882260359138180972529591961530636385073956454250993216242156952188931441156834864700281115663327773103441995463438516706384698618824636396120906164676934103684108011268085391575962733978054653650631677527902620409144427708661998311305003837789278561148161545646439960592533030341477408350194491090709465335955822949281985646721614041433274084666259717384642659825523044823369774141794296383969807657231046255621095967999394075178192969653339861133474777799636523579845066368202146116896082310506506932394318958539659857865868250218646006963038336785776795641100450079057179624645606243692303090174067555987823003431662005003928656122526259818232952599066038517309539791180001053165957469886744035828576082266753388585306485331058695111502659690993127527577434284561022881811667276883577267645552231905957759074826217743178943338156972113319986530101374201666014929961613533891624427722858760466375952221407397762340075022030062960976653016942766536382041992763097398401211248235745074673848569261729800702007735043430527880561785199906062404421649356112699851986779892892290197683639517515835129080465399828165251459167639261444769133214217172556560447093710197990583211190545528383621647596564401206253649058052903853562821275358809013282959558213036692729465706828681676586694546805107341080346828170913647216263048836954886964379326425025071348064331669207111230145518437070666055664280415022706879348012308931202075290602349633279599165205838197434702150674509909804016770164922440803323474064240004742387506427628574147357422788628788371803703886327942707189327115308996725974197094015396300998179372265848205497415782048503996799774353107826230984629932393652066743258706288695676402423497169352105987312742623958648869650186200507021899904820693237612004845142111051880871879004383168256805080157641765415314222222904013960319158528895765728258562814602844162893850102368972898211159163968902994764727801492512339769538366557552384485247233526197065453218442234725935636972154701000034141852393061851472346160483761849477001264769812739076668062779696615271241024196830493665115619822840473201987504906131594210557929646488526111967057405957972313963071908174695879100233348940386742002325859946036913719879750946205737658203944629461100638999614386069554834413354948573811464326787647355282237189824742547138170716039067242470255240089297693193821795385317789665103670875547084084787839549422853429145897137417826518868728328378895429277276896297278629020282746275372587372812253115980111117663083599554925138685403357979022912994521134556881667716544726399569243428757833788026480382168415389025937454888560099517072632784255781802031952096710665491905637997064897933432265384533246290622966615413323461441923123244490303779313710391611754890600269370891451443427209683961908265852238789995844175578483438753585370417840667376426985838165680021148614699490376333409382591127183386530625699636534701113137572761254614638582493851946138944201220581543965622206897287548927265549017345179441051846238871594544691703182111172870305795407216521861953979361754703391311219484086568982379520734027339316469940621089172790056281972538136591724589991815722246361242448119523665740552931887831008670556644477730880504616089856499856361728450148663095936379440371154889782961.57
