3,250,342,170,053,417,313,059,760,158,242,635,944,525,227,558,231,243,684,250,557,377,878,731,879,887,412,813,359,756,298,195,466,695,909,765,956,179,084,696,536,504,026,333,930,757,480,501,524,690,998,467,656,830,292,358,408,080,762,035,141,359,499,298,937,316,632,603,685,431,199,147,697,532,163,129,054,905,177,491,805,274,618,568,336,661,092,324,389,423,135,328,436,632,764,965,962,087,591,246,891,223,448,387,144,094,893,064,095,479,455,405,800,448,591,849,717,006,682,222,716,016,333,362,254,683,230,909,876,091,236,698,681,487,980,255,945,617,304,383,255,858,754,727,708,221,492,859,638,446,579,963,035,814,307,679,273,289,055,691,545,251,131,828,658,986,553,683,984,769,878,849,764,347,401,054,796,664,854,163,363,290,441,426,791,777,838,073,660,334,875,004,454,887,013,134,768,614,199,191,610,942,622,607,417,940,960,377,326,834,558,833,688,879,428,551,019,510,688,496,954,288,148,021,020,864,080,195,079,974,159,487,397,655,518,490,459,135,320,024,875,364,150,613,299,510,530,621,480,807,284,950,196,282,855,278,690,669,826,538,304,631,504,128,688,866,905,573,960,776,750,843,324,348,290,404,378,395,319,537,012,103,399,356,146,748,828,875,762,409,315,783,044,331,751,745,228,567,309,540,233,126,804,149,509,548,460,293,922,280,339,815,382,806,139,017,803,590,260,213,957,685,264,426,396,332,427,115,141,950,098,125,197,724,047,781,506,168,800,351,266,156,094,866,990,377,787,582,204,715,964,625,401,945,326,929,121,463,246,046,305,423,135,250,748,624,313,049,479,468,145,060,741,260,332,457,611,079,755,598,023,862,002,316,677,079,021,224,914,497,181,591,102,295,441,976,129,547,079,355,927,271,757,162,003,456,836,539,831,364,656,836,950,628,906,922,693,853,487,742,871,239,547,692,831,359,738,813,553,065,368,158,139,547,243,207,924,763,240,111,624,080,143,244,355,695,468,784,319,809,651,876,458,648,865,256,943,532,261,938,594,620,105,088,784,100,098,415,456,624,457,700,809,528,200,468,769,098,045,596,240,322,411,997,949,296,425,999,934,756,705,359,790,314,092,241,903,927,749,899,959,623,138,529,658,875,687,047,913,227,077,453,005,609,529,084,635,932,856,440,842,216,412,116,316,412,753,145,023,907,887,378,343,726,825,519,362,086,587,810,588,299,030,144,734,563,899,815,055,386,316,414,518,568,127,902,999,364,404,816,656,751,269,945,758,943,339,039,816,651,568,186,216,703,219,029,807,627,994,468,651,024,558,013,143,723,369,983,021,175,926,913,404,452,552,203,029,744,052,113,641,018,575,728,089,615,481,831,796,512,645,493,307,073,255,217,829,286,252,777,101,896,864,184,335,970,439,625,441,907,147,371,559,614,120,449,662,399,497,531,227,793,123,331,912,252,040,235,916,653,718,674,583,801,890,335,080,597,658,190,110,458,320,439,957,348,625,535,549,747,481,835,904,740,194,730,533,518,695,066,908,187,964,747,212,071,750,282,420,573,426,823,096,261,141,541,319,569,187,632,306,121,938,583,776,994,056,982,786,041,115,177,072,540,324,812,925,119,947,279,364,160,627,821,507,118,997,211,028,870,288,634,373,771,419,956,328,067,212,939,596,419,730,303,588,101,382,123,696,236,844,818,210,836,819,722,034,258,095,175,562,363,459,349,490,920,353,571,548,661,183,686,554,438,091,243,944,594,993,918,419,394,278,366,424,289,905,255,587,551,684,723,670,630,084,258,407,980,365,197,269,508,747,780,333,577,120,206,657,947,510,010,244,116,929,424,654,740,622,574,816,853,630,067,999,020,456,845,978,184,051,856,893,658,412,243,066,684,020,275,626,054,160,129,171,634,379,948,124,083,695,558,007,523,357,470,558,987,856,742,569,194,791,933,176,014,530,113,360,604,567,863,564,350,731,308,503,781,229,807,508,889,136,044,991,667,104,779,809,701,746,647,046,211,974,996,675,295,180,508,533,890,701,345,757,089,473,022,757,766,964,750,193,592,440,390,170,991,380,705,683,698,228,504,109,278,569,545,121,857,931,540,926,382,691,696,533,379,768,182,244,104,027,269,899,498,612,007,528,713,134,860,045,269,659,316,009,554,181,265,525,056,354,395,355,441,417,788,628,675,449,645,656,850,564,607,348,602,391,347,346,571,980,112,199,591,569,228,208,610,281,118,311,984,747,691,722,838,813,412,585,475,622,291,534,488,877,228,899,589,564,087,794,728,453,330,497,909,763,153,117,165,027,940,095,691,034,958,070,432,555,564,534,523,782,879,989,311,480,185,823,859,258,862,196,942,409,420,262,684,626,780,287,123,348,504,632,572,991,583,764,182,225,000,221,980,254,283,126,456,760,411,259,530,002,809,845,995,637,839,761,919,666,943,416,066,651,209,197,772,546,375,941,049,985,465,506,312,370,782,596,261,762,252,567,408,981,843,003,216,966,398,042,828,171,708,632,528,398,037,863,077,466,309,787,615,456,160,445,687,329,930,154,110,495,054,483,742,451,042,541,824,977,073,595,490,345,631,385,973,201,329,185,140,322,167,452,491,592,133,496,159,688,714,744,991,884,534,928,182,307,977,736,391,443,796,822,124,453,073,487,867,027,224,770,365,314,471,911,224,176,438,193,319,843,411,604,694,263,572,495,803,274,258,187,682,827,072,288,206,024,386,585,550,645,200,132,909,399,145,610,262,511,514,590,461,645,304,889,064,154,799,480,904,985,493,210,053,844,869,605,105,601,358,034,921,906,689,752,787,698,419,269,545,117,148,285,368,544,235,427,802,666,683,310,762,980,289,680,296,424,967,126,722,959,416,996,677,161,173,305,911,538,667,381,579,821,279,512,765,511,315,484,531,927,864,661,838,040,883,521,108,131,835,811,697,329,421,373,592,128,938,070,478,527,282,043,511,864,606,828,950,510,396,818,361,944,398,961,995,295,113,815,337,186,236,820,437,464,998,889,565,369,876,598,092,820,730,068,425,325,226,867,513,588,619,800,802,820,882,405,794,089,622,275,442,701,928,695,995,263,592,126,716,904,004,897,958,242,670,633,741,072,254,806,386,919,216,042,330,173,437,210,869,620,056,020,499,320,823,278,756,229,796,892,645,631,919,389,689,901,630,661,014,064,276,250,438,587,117,097,388,415,937,194,403,695,024,465,583,393,685,301,397,505,406,769,809,987,052,459,808,978,229,857,078,166,310,773,387,495,465,903,837,767,753,643,002,104,109,652,433,132,971,843,487,279,104,020,698,272,536,968,167,824,730,560,378,992,854,481,064,698,216,709,045,676,453,285,899,234,341,707,998,845,927,570,934,454,863,262,547,915,302,069,373,113,196,003,198,473,937,642,321,648,451,402,846,456,543,199,301,012,050,316,782,869,338,907,729,595,109,685,951,254,288,544,158,237,397,541,551,013,316,581,527,475,804,479,391,416,224,124,738,158,043,356,908,546,790,772,101,761,916,240,736,318,673,233,108,401,314,580,830,298,450,246,720,726,607,967,939,284,433,601,884,226,933,514,285,090,383,943,616,078,602,683,202,999,858,598,889,744,412,824,692,266,779,428,128,636,083,019,921,481,777,783,934,133,133,212,755,340,011,782,053,444,216,409,573,434,327,946,178,615,774,231,531,488,717,071,205,797,977,189,931,249,588,524,067,113,521,622,166,768,402,009,727,096,576,998,041,067,720,112,789,426,803,584,788,164,172,684,226,591,527,697,888,923,545,200,846,484,741,561,278,251,249,319,036,526,158,141,753,910,927,311,713,157,155,202,800,376,967,554,704,080,485,821,246,115,077,164,300,563,245,327,652,752,753,629,654,569,206,240,578,624,306,501,488,230,977,543,574,322,511,716,774,842,253,319,210,838,368,860,429,149,334,578,791,703,650,620,944,456,023,927,213,009,152,309,658,712,695,479,912,886,422,435,939,884,382,135,614,053,048,305,361,558,863,581,770,418,467,850,128,933,510,694,219,619,468,230,356,827,352,563,220,707,380,201,502,730,422,886,659,466,933,712,959,859,069,439,100,731,692,357,064,901,557,510,550,335,144,001,237,041,031,739,590,493,268,603,025,581,020,567,554,699,933,877,614,902,144,522,526,025,164,436,854,236,150,585,646,485,948,094,192,141,293,043,028,346,964,467,533,324,888,061,827,322,682,144,432,841,445,394,085,696,667,968,223,017,760,266,940,520,744,554,513,096,278,864,401,754,842,175,985,156,561,824,063,545,618,139,586,808,662,864,415,571,402,897,294,532,698,768,404,212,875,405,721,572,318,947,997,312,257,474,699,121,499,289,667,329,245,669,140,079,922,676,936,859,963,124,767,866,817,007,783,791,542,595,956,440,753,974,686,740,453,638,946,603,797,431,522,226,881,218,044,806,211,190,100,106,928,421,434,286,350,849,951,547,117,246,681,179,488,486,573,375,897,436,872,092,244,854,232,461,704,609,823,222,739,696,879,316,481,600,663,598,175,400,155,624,525,749,794,574,301,276,483,768,201,885,017,134,853,699,362,690,144,160,190,425,313,802,574,034,689,102,916,616,224,351,804,006,673,146,732,519,813,301,543,595,502,820,421,541,487,024,362,682,872,240,738,493,592,243,772,599,958,135,261,121,554,816,186,928,651,625,083,549,028,996,862,725,809,762,988,228,255,270,215,520,585,072,101,352,088,931,089,003,621,231,059,538,013,016,505,394,756,530,077,403,600,630,399,311,673,754,763,583,266,364,879,156,893,969,783,403,097,802,746,504,161,186,109,407,402,475,774,910,026,411,140,742,820,595,321,464,760,148,346,140,127,848,898,525,954,816,973,311,152,297,710,027,850,982,882,611,459,263,096,786,424,852,311,359,411,393,933,132,314,788,011,778,704,049,643,215,649,836,363,272,666,583,282,764,376,996,952,752,769,135,079,509,060,872,626,477,144,268,490,267,471,049,848,362,107,010,145,503,465,452,774,236,623,626,109,863,263,744,409,222,891,545,853,712,881,163,368,145,087,881,722,166,622,460,101,916,619,868,917,640,956,248,480,107,382,120,712,839,200,219,150,493,489,528,614,830,829,755,050,288,304,761,897,494,637,814,754,831,033,891,793,022,008,413,264,426,626,590,836,479,012,567,676,712,985,827,247,768,149,675,396,165,110,563,383,081,845,313,649,515,644,395,103,605,486,642,523,967,528,073,782,706,867,262,840,514,768,108,479,569,946,995,867,719,045,393,905,258,784,811,369,134,054,579,314,853,125,517,303,674,343,249,884,968,486,903,487,559,228,863,308,451,245,212,928,508,518,596,477,025,096,719,846,502,683,942,663,088,875,301,181,951,642,244,335,784,904,486,310,419,460,636,319,596,246,303,561,731,925,609,540,728,856,088,176,726,542,882,643,290,177,773,352,623,594,116,438,497,822,076,241,989,279,723,095,621,784,025,941,872,374,698,626,968,817,370,276,014,566,984,531,648,312,534,612,187,749,507,914,091,687,234,648,990,989,516,854,062,630,817,684,873,243,123,063,027,105,879,319,450,972,610,582,186,326,428,272,668,575,749,645,186,402,127,879,311,408,038,508,157,129,973,146,450,618,037,336,906,581,950,720,767,944,042,289,332,732,563,447,669,701,301,139,918,253,197,940,789,228,712,255,109,073,554,151,697,801,119,482,127,303,460,757,519,466,970,289,056,443,376,457,778,708,624,262,647,566,780,355,357,463,412,728,730,225,546,321,952,024,273,571,498,763,195,458,764,157,591,837,465,787,840,400,362,999,006,402,321,801,085,998,864,748,099,757,622,328,329,382,756,544,605,251,787,205,070,291,420,035,423,642,283,309,652,278,366,985,092,502,300,712,889,481,655,976,974,047,335,441,879,472,642,139,425,422,954,771,773,660,808,527,233,343,936,774,235,285,082,810,453,521,546,158,444,144,397,855,270,635,111,312,561,647,638,606,389,112,826,387,462,880,637,914,158,265,851,018,191,787,787,567,524,871,270,791,738,326,617,899,652,238,964,419,862,780,428,934,386,671,773,459,711,813,683,553,846,342,545,753,386,448,315,344,818,263,783,025,846,060,978,464,434,303,406,860,695,564,386,387,167,358,380,944,839,533,783,173,839,068,978,298,021,683,592,393,190,161,568,848,792,368,590,257,813,738,146,070,902,541,604,962,204,150,570,647,314,139,855,535,401,150,091,080,946,172,864,973,758,327,781,533,619,635,854,862,076,483,829,405,039,005,943,644,777,610,875,937,077,670,398,970,541,832,831,613,671,077,586,795,230,845,507,627,074,701,418,564,450,492,473,475,104,141,778,762,272,487,726,831,346,808,562,382,381,744,673,231,541,986,613,610,572,544,871,285,779,414,824,452,360,478,330,410,599,257,047,137,789,381,188,203,942,655,162,634,115,713,828,661,674,645,230,872,728,977,756,313,389,620,638,816,042,157,238,970,771,035,528,234,254,181,588,147,119,120,787,848,648,344,684,481,771,365,713,530,064,437,463,484,536,227,679,050,597,106,336,800,831,645,988,513,836,736,852,877,193,355,927,914,137,721,490,085,632,401,370,295,502,830,470,547,247,946,406,996,832,759,193,375,441,047,185,199,536,616,656,131,771,848,286,572,324,635,029,226,817,030,490,336,773,177,454,193,427,911,702,043,163,987,052,267,601,769,999,085,035,577,264,313,050,330,542,649,116,198,697,422,054,941,888,344,484,824,703,762,998,658,815,994,181,946,081,541,577,609,027,835,891,393,158,671,202,518,224,488,565,982,772,805,300,105,665,390,482,901,050,130,315,262,600,846,224,306,161,639,062,317,137,734,560,849,678,099,963,304,939,916,896,230,622,283,010,492,231,322,270,761,287,587,419,903,666,122,613,457,259,294,342,277,402,447,825,387,642,198,912,149,085,477,736,229,423,956,846,459,664,407,021,787,224,436,806,587,049,889,244,996,428,489,239,652,606,675,890,067,030,630,801,918,434,982,705,323,439,994,708,978,141,208,488,682,017,889,242,854,856,291,285,091,498,184,448,403,072,522,340,319,795,269,929,978,003,919,283,451,189,736,813,013,442,090,579,885,095,464,822,933,950,725,187,904,518,467,653,650,682,366,265,040,682,963,391,792,357,717,465,815,580,075,927,830,309,633,834,554,384,395,929,691,330,487,894,210,531,109,521,444,541,757,286,954,948,419,996,249,256,715,912,297,765,199,107,509,684,466,891,782,976,728,950,294,645,992,232,597,011,078,493,351,472,158,431,172,330,565,515,052,751,313,338,404,526,439,505,895,411,472,328,008,609,194,035.9064104829190144
$ 24937071995073350921324858852861676892566722505395440690818174123503962722446821824985599200923536479580964624562910855611159237063449707778496694691736465805709244970342726201825576938731342194895626982900213684850052139873842873153552714171711960828634187746149209866239471817778484016830760368287359302480234961488089877900640314390117272614480882989120219355633343437689832083276238517765771695464094467538050138166872324296181496160779908588176561618460577417487819625755741098067622131884732954712160279431186347570265013515404808142396903099591559903491079316513030689511426625747452268375946344181272299964161710778045348601319320871384521677751072935951270066407273881421960476686734839046659530184480661513978437100786499239644569257294811494571787909661428732698783575191002443348730062977893853132051109201648947795672663701186100116910171938341451876739715661925856654670801823256686956497158448393145334827267686060738162286461511070358648404617978538618667561021777875253564574555622179209481985182181142233270412173420925202038315712858197013810067700542053315646131042031760422863159587998304507613620760607619663163010029972633151896062966014756676669013887087932094523487291708120733321983413282846778071918615736337918500535255478938736210482446223073017969911042319904733312149176695780244735818757906360521977178813975386143603087530015071426334090567009106803907254305864734148107073408072225986005610318906701995624565241177149280097949667276949843874092278759445951638297381633741410221026908977201957894454021505790339400097124181889787741247105416093009095309187104810036721400191609712942230743737903069855933222173992025015246650260093557170738113190739816414026914637551732104429063620813874967566098698732851610710099964174265524573139924219573670807653336563236812904698836594110282914849688802036997670974785272989540634966275962782201033619141380599243592721673014813198798291570008058569720327429411984718152370580219422403999610932929267917872890420691039943378729304853739105424811966530407334477727174547412843466342263998301671107597544403400790708927983748495598891608364479484677579355384102266459531664433535780609532634118260395953422000051675283330411937976438579904395630768742866532627419732941624219622749284505528638581822260775110120361841364933741170873241614711645331368769315194733193161159456934798466209827653267670125123863773667301801522029284037175325877132146412785563614506705093995958263099271990701188175903338819630215175631594830795410691849334802320841577977893474975131460955040386843508707102659244726305541912716520669920268059511881993020916439361214602954844033712828538037816635156949876735091049147227211014348905606548783058744563390400951196365503695911952358611435451033533439263425161916783815059974677153341078028410223078693870827536456281990132091181650401425374933216219727876740504029791811405537336839251477937319103669586031394940036037233937851757997153418956117036372331481999971290217285802508175488070209962830008871133473969298541754776494940204565511136271729130811350035148663184527284538028719211821856997393511510702286598911039379589548515278125474323001300911537814105301529284805790674296512674548144119641593212443736638058326325922442256826105723299195694112466454693302103994932630552648146934554838852883252858925529785353116125516400485259544922152850153193640295080915087327593032493278393105746438030001600998505002808614324221732997846958826182916846046626347606724572336720298830701174811589204323522584863658706205306411647339050126175962852881427324160853116873219346769929763089640525147152699177963791969152776161515652174091617767735605215689346484386751918822835134119652310057549233259102048007577062972847624213850973738344604562051192659994026047385867516090173526858733202303258896798937934255573987106250703756978795163487501431943449357352496740223303680238526048952563520122507834419211385482708468750618639034974127804657122923638314826498474257168025955280373537394188978813335446408035905098704934512526285925805436366104874163453098605569188979266626029447420394671652145337306057629044291409719168864285578669155386284108667425897007569626219296149100376228780477477298412236744485778598436419311300279483908114110598479740548704240002294651944998653138219349001744815879056600922627263607051223423175621024880558206726486692038427228026144066623992211515366271524392442990846440852492690015706395646214202821809684885740230430683594065883291979666698127053767564868044490911884982726728550518267274768801291103986809393260321170660450782443444424797336453717360723125994646520902629292462671062280288158413168993285230375175298668561989859552309680207910243043719702844645368579522019314393521908927636326403778136601105108606690579007159256828515081453449138666771974749411071604796801203155583245655018497717879384652662464719057014933230255348623389341496357360284251097247133194934273987183479297721057127004823716510438939597479225889398177737570270194240648976437390495413805672220629508992521950280706547724981095310560008186299284068269716460031614754188157178102942920412900153758130772804984116764680563088492533592110584882346756552046607014781931552455882934529197786063544766390156852340978521030807514151445042888571838020340758764580438803913168410237193461794978634243132585150211556217348696583908981101648421291177672204161145490853928401590021029304841496798514319031205055293554055772691593823021666301557813119008866772666680968956604848384237526609394127342943434659236333015722512100496660115524373301513491171118323487516630321509394657942961181589094677904270319922752965379959414959084930029778630701913435276075994471356727830672557900890947950587729134853965809160966104446001867053209901980766622879050281458354954903098127625874670534073545780330457978510866871380175754561118776955585671891555735383963043170180051347629598647690715504222805071771155439553747693382252703198163892882167365223768653255094067526092104077466052324879957967911764811796130506493087766778569383597904753169244773098254305892177751782424375486761712410205300661312111884361083491091711455326736452211887657265280618667132613674366561021940370411256904064365706973787356033340424656180036999330344148370866068404693401112621566709365858637738806520863016782508260904339237085882519824627920007558413536564815623974634337794402556337390748475230434650012875832240181552305997494338444076240779067229468096802989250494791645845145469736481168274595158398401753168076028680848298753421489321783157113294170133451814702176664246464728775408513027634199315423386979053654619796692523704998619021234327713088880989212636815910250656586248327070346740861957248200556971159889598645371947318831587102519098651938672770343300935100453101335402596573019233586653338520057222986399222937579102585680489351161323116935679942242848979127717524062842697100413153460736180804106527469601847556828536729932272055435396373947141927996306037330638657702661615625114713377709287746566652888854547461731164798659481291362502995920595861019991568562603748264227739568896740258885810269548360164233497469788630986886895143595173555178639014532992739292479806211887847209297732167042000928273052227256419650204843059197615092710149275218461354632700836059703487583105082718618347183001822935431955480291693600108905808517070370358076512864508251126066367961629981832127096260286454314551452698587992587152849022138856906168913520388412422532357638887893809992842348984634510946890149406181309261376378560496396350895060266916038707389699544727726392109053354055296866873091731150228742629158830176834377575450243263620771016797650804358200478613215886024606551221710177906430805624599823493940093449064592453586056482745493376372341272431472074867728388713604134733617363319567743878842853557225378516907002407854985384015258484348688774407307019658946092103984140466830747706466925046606004247231319464681397975807397646481620838386479991998371892101340570511527000637870359833408862925531271882401331932014223410808604382829235482000956599649034369623083334782521794903177046026562450526992655900425084501768030623612775790802568670487218900066862179427129643718053319157151236840717099150967076473829774247904823507395183604298693543336367450611857897154893410645924034320277443946938559764944702487246332660595869702565804771767643392341944269358940512801724164196675543658238623098509806458568268768633273391618586184714331375815782246625537741461939260888072865882223251265009046874737397971081141747645035521410314052337388728943260260536242345665780953635124107034604461268172273790025215286190163583902092421957718637663344248350134581105580066410530524520490397872307237180814719611701376192604519866026676839768880187785902084132768534862759152480596628304708658069222039994976255021862705657450089220210100847573070818321967186542426501407566507243920874368327890770347946650591537505038425333304163858396398591897937368419799940685921099103825559303336555389714390693005817998862879040719822425077921835001231421442437686640469296791577580605151023643884179326342641819954929948050379879729849234179094884446497001451477287947790370134767963107600481680755667853306805880075479958199441818249574157942128655041867153455324804803370168011563988093535643046927047717820969005373284691324054538740318479961686423506323791632204428781756716334547140199314185325026457821450880728300940672768200630488149542262124130720286051396787613338864962718268126745382577395729843440602082111098902354132831464372174394995110070495171042682732771402070847542236950281480786288253754216543709132779954392111386693002028615782120943231776526017915665789584653164800577824346700809160549066018513012854088585147719208262637097161252730801644484366761742749998598689113393.43
