588,830,926,902,798,610,307,204,885,757,435,240,543,693,351,462,038,162,673,335,678,797,285,423,543,459,886,940,190,365,832,936,787,776,487,140,607,536,061,876,783,023,048,353,793,408,391,618,349,566,798,868,449,184,778,608,356,799,281,344,288,779,392,602,122,294,849,414,466,549,407,071,860,251,151,961,210,623,632,535,373,725,092,003,384,798,865,163,791,164,782,630,980,897,476,608,088,930,308,239,708,275,032,010,171,955,149,465,005,599,335,940,576,226,319,559,756,858,793,885,559,862,116,747,181,248,754,999,459,282,029,876,613,929,349,590,715,885,868,303,542,575,754,813,515,828,008,931,405,401,380,920,389,676,838,899,333,508,598,975,500,855,133,349,554,984,949,478,979,128,498,460,472,366,171,275,264,078,270,212,686,249,333,943,794,541,201,789,417,361,005,227,053,862,414,946,241,446,697,290,007,816,348,773,001,129,916,601,442,085,688,312,039,457,472,862,147,473,297,965,756,868,718,892,782,440,610,119,881,747,728,079,626,621,433,907,410,298,426,718,657,790,193,305,042,117,392,999,690,956,229,540,589,282,259,196,793,120,620,415,437,857,610,757,436,043,250,002,650,222,420,883,374,311,261,535,776,267,846,326,510,868,460,049,553,538,703,177,176,040,973,081,789,725,812,604,155,971,100,651,192,236,345,689,132,675,196,046,184,316,428,149,005,955,302,185,389,927,086,824,888,926,392,188,786,066,874,977,030,189,573,617,094,544,179,325,323,056,256,638,217,394,089,764,460,327,119,604,099,681,615,841,473,417,803,431,829,686,976,559,569,280,618,742,685,934,109,927,051,232,535,232,123,092,525,415,071,534,670,891,536,771,130,104,359,855,133,097,672,239,785,748,747,747,183,150,694,307,852,434,339,852,114,321,256,428,464,918,041,564,904,085,604,303,455,506,835,475,706,601,128,406,620,837,149,704,522,444,707,667,883,046,794,930,968,593,545,711,003,955,937,692,062,536,685,814,399,780,441,123,250,958,657,626,414,143,572,992,393,844,918,983,631,845,030,343,812,832,166,784,008,877,854,619,438,591,134,396,467,158,970,779,087,890,889,992,699,803,840,241,548,050,648,663,266,763,822,643,295,842,773,395,897,367,594,651,266,888,091,915,488,709,667,672,598,978,157,240,387,364,330,816,067,983,339,601,864,775,641,824,614,299,160,833,832,429,604,268,629,799,567,621,799,425,638,452,978,640,706,465,473,834,279,506,233,600,915,936,613,895,319,100,809,476,128,713,599,267,515,812,128,531,760,618,076,713,211,713,147,299,767,911,204,502,051,206,219,280,044,328,355,673,888,276,515,469,325,469,543,500,722,386,430,738,893,875,983,628,065,544,092,835,646,400,198,361,899,995,812,574,404,465,830,787,586,614,530,189,206,575,297,056,066,093,953,865,105,340,454,130,503,404,909,441,663,570,165,504,747,189,113,215,122,056,115,655,014,147,224,489,447,933,077,217,055,329,672,376,441,867,931,973,691,410,199,227,486,671,545,774,852,950,434,249,211,020,026,986,200,482,093,207,768,376,288,777,621,821,122,104,192,464,214,623,563,199,967,282,854,164,260,175,889,200,462,617,322,851,110,538,903,338,695,051,204,443,602,337,737,992,502,450,217,312,893,797,221,011,395,903,290,472,515,923,085,250,326,775,168,338,999,132,335,703,680,582,239,590,146,878,444,975,764,234,950,193,592,413,301,925,450,805,677,489,715,926,779,291,277,864,252,332,811,325,708,735,665,329,287,480,709,459,648,308,483,527,401,960,977,631,889,842,255,716,454,070,205,916,623,528,696,643,360,316,135,230,875,633,480,516,419,243,396,512,008,160,346,873,780,267,998,504,988,686,182,748,755,844,214,674,746,674,662,633,463,917,616,447,476,927,565,540,354,710,703,129,843,149,726,702,732,518,164,955,937,291,668,706,694,194,312,388,433,881,859,961,924,003,989,367,635,116,848,776,286,773,512,513,271,017,560,061,253,280,243,748,283,539,622,687,990,878,327,798,728,624,098,395,689,395,232,149,163,360,721,405,141,857,472,597,928,093,625,627,032,598,511,330,035,058,705,023,487,646,925,121,638,624,034,339,186,592,425,062,707,893,975,362,613,046,159,131,571,786,392,171,596,116,113,053,713,749,363,932,629,738,831,663,497,184,876,495,300,740,184,699,221,545,664,544,325,871,829,748,134,797,679,948,348,763,026,465,399,190,635,102,915,008,691,270,696,301,699,439,312,587,527,717,793,472,179,239,860,436,489,100,649,652,312,417,806,732,378,939,760,642,506,312,391,752,608,224,685,030,939,334,042,836,202,083,384,800,187,697,359,068,788,027,831,896,489,848,681,349,798,391,504,472,933,022,221,815,035,117,574,076,817,755,369,406,784,188,335,611,353,841,575,030,799,243,748,757,133,192,295,761,491,175,407,056,146,684,272,869,408,784,881,147,926,459,460,483,763,624,625,525,055,047,191,514,672,333,015,228,243,750,999,180,733,080,601,836,122,728,472,798,640,540,091,649,642,881,925,407,475,758,160,390,808,187,995,536,385,334,214,622,726,060,660,788,973,067,280,295,891,090,543,023,866,218,030,392,905,932,813,422,311,364,428,075,007,046,241,998,378,704,011,534,538,710,188,199,066,650,443,682,838,656,425,145,257,708,599,578,885,469,894,102,690,534,974,597,042,564,468,016,749,949,912,317,816,268,383,539,054,346,416,459,937,986,393,199,846,829,264,351,258,960,755,090,560,621,498,006,081,438,708,872,705,135,496,252,647,575,800,458,411,254,070,572,505,800,820,170,439,619,141,349,440,264,695,095,654,876,654,563,957,323,999,184,910,387,489,037,085,107,840,398,342,161,289,814,636,963,909,570,609,413,146,649,700,529,241,458,524,273,628,694,720,262,404,517,870,328,567,904,445,179,371,744,890,984,703,196,928,114,921,238,024,892,273,538,040,193,195,555,735,013,134,707,533,806,552,221,629,704,082,726,926,036,450,436,187,481,516,297,230,384,893,699,719,870,073,972,424,513,449,282,063,736,707,949,784,734,211,984,425,175,494,226,195,835,278,520,306,649,944,229,547,444,705,294,582,390,482,839,544,769,382,065,268,281,859,350,920,052,572,634,393,314,981,821,071,304,543,212,210,566,075,279,111,429,550,599,279,774,155,811,753,139,046,210,464,060,798,875,381,526,854,592,037,718,663,968,933,770,895,129,475,886,322,044,635,839,311,409,578,576,364,795,677,619,182,554,890,797,069,644,629,596,904,354,809,018,208,259,657,066,459,284,445,408,352,604,967,192,707,273,355,258,033,692,616,720,454,016,847,785,641,691,406,093,195,768,343,361,430,440,219,682,425,703,172,580,649,699,186,863,108,106,070,220,236,674,799,787,309,295,110,134,813,996,139,007,859,533,142,718,081,235,383,951,859,237,506,569,450,064,556,683,568,959,390,062,348,435,549,678,607,043,118,484,339,444,037,505,002,181,965,105,655,252,678,432,226,549,566,671,261,493,357,138,882,960,215,120,652,648,204,329,343,127,588,393,679,434,387,977,836,552,182,405,285,983,136,920,401,717,113,663,279,225,561,216,107,227,762,947,650,072,646,756,904,297,737,238,253,439,613,821,669,359,109,533,339,439,560,428,667,039,694,842,295,813,603,970,702,882,036,071,194,354,473,085,646,617,229,402,014,791,509,746,982,456,761,945,233,105,480,492,743,062,147,686,927,012,635,529,357,851,272,585,630,264,582,259,497,825,780,100,105,903,107,063,260,769,789,580,655,125,496,599,830,217,257,426,199,509,372,543,741,819,862,118,323,945,120,786,569,059,565,913,844,719,504,224,594,309,290,526,926,808,619,561,649,233,497,837,224,426,414,457,397,055,253,168,410,304,451,206,723,947,085,910,119,254,422,343,870,357,210,367,665,847,192,509,000,607,810,521,417,582,289,471,400,495,559,048,087,548,756,588,626,947,774,493,174,523,011,369,999,434,953,422,888,903,342,677,218,005,005,295,332,803,393,912,209,792,278,815,909,374,915,449,478,202,379,447,717,772,654,675,267,592,309,610,557,115,271,573,823,103,432,436,380,287,586,675,260,831,099,427,079,024,368,920,889,787,690,890,893,076,832,742,725,661,597,259,209,395,234,327,400,082,089,457,505,193,194,853,533,803,006,973,524,433,705,959,922,481,495,698,185,288,903,100,592,807,560,860,498,790,268,507,955,463,863,566,146,450,911,005,194,987,853,322,441,928,779,873,259,861,543,783,444,420,968,264,170,667,562,235,096,339,249,962,401,121,755,014,528,091,504,014,493,726,656,988,651,401,460,390,004,872,878,435,922,182,814,541,906,600,964,132,476,661,345,629,520,849,574,285,106,176,942,544,131,182,105,812,613,970,907,765,870,402,308,130,637,126,821,378,828,373,205,255,934,700,474,411,813,609,828,999,383,144,478,571,048,094,325,641,630,041,902,424,038,301,625,581,757,597,201,003,346,866,937,648,234,829,548,010,651,180,053,611,725,390,226,274,518,356,637,500,218,597,507,601,168,390,971,567,148,571,238,502,110,933,766,910,552,113,448,588,831,351,917,058,498,019,852,712,831,281,514,079,067,732,387,933,230,579,493,241,432,196,803,083,461,794,617,871,452,032,635,819,052,992,740,956,174,203,711,021,502,548,866,987,692,428,757,627,114,976,211,769,558,217,451,444,702,858,627,726,167,643,003,757,480,931,282,462,797,270,140,658,017,196,327,192,565,790,518,652,752,448,111,941,768,165,312,350,492,555,745,953,560,958,969,788,415,353,739,939,653,418,176,066,794,742,931,774,301,901,901,007,814,138,948,748,003,709,254,481,757,680,679,800,482,787,375,123,170,233,158,461,969,113,600,102,436,569,752,439,052,210,410,432,493,904,945,749,851,050,702,244,489,793,910,759,240,470,864,441,497,102,874,892,808,859,022,701,487,714,345,348,013,208,248,474,423,062,116,723,076,508,980,896,818,857,281,696,473,932,873,404,851,254,895,152,715,817,797,847,086,025,048,149,449,218,668,277,789,568,280,946,946,154,267,250,086,501,234,946,392,725,537,909,000,380,020,873,948,232,962,449,806,451,111,268,866,089,864,819,723,035,794,083,010,757,075,327,009,395,295,972,588,211,702,523,922,559,784,814,072,063,186,323,913,505,454,697,291,994,707,908,544,504,168,460,940,990,364,700,807,877,322,911,502,018,956,430,561,186,578,060,299,131,080,734,349,585,380,166,449,953,390,912,472,264,579,470,413,878,050,377,163,362,191,134,214,019,182,202,241,005,178,461,099,142,901,044,601,808,354,520,009,832,844,593,252,192,139,607,579,238,882,238,761,200,075,151,560,325,869,618,759,535,989,012,044,787,492,345,118,678,366,129,720,719,250,108,344,092,171,361,277,764,290,780,506,045,387,082,395,837,478,448,065,228,005,696,767,918,804,491,845,536,968,634,800,842,182,991,911,415,617,105,321,203,763,740,987,587,356,206,845,773,075,905,363,713,449,829,944,189,023,272,240,935,959,577,599,224,304,241,652,467,064,021,859,570,658,972,191,901,807,708,904,911,148,651,415,056,231,791,814,301,513,153,127,827,356,259,438,264,286,538,866,024,482,594,042,776,860,561,354,783,905,007,166,188,682,907,287,940,366,669,407,956,241,425,809,658,868,152,505,366,990,004,265,339,775,029,976,265,274,459,853,314,311,788,773,300,751,847,863,567,154,723,479,218,985,857,172,412,147,129,256,891,303,239,376,158,752,417,973,269,330,428,744,533,731,501,475,838,469,668,764,321,459,248,290,700,944,282,787,747,407,711,671,480,609,003,092,604,114,267,240,604,336,611,149,564,824,277,712,421,864,731,659,583,018,607,072,402,279,645,172,449,133,429,193,957,750,930,515,265,995,713,652,754,834,791,444,401,121,037,885,722,690,812,816,243,714,942,895,193,311,078,515,254,891,222,069,939,679,084,836,046,354,046,684,973,585,866,221,468,219,111,938,582,201,168,442,242,669,335,103,021,464,140,667,117,264,866,625,641,424,605,504,143,351,810,485,628,219,518,859,452,306,820,573,616,411,745,619,787,774,592,140,347,556,393,030,495,375,481,456,402,370,346,477,636,049,296,444,703,381,559,604,985,641,500,582,756,341,487,866,324,082,003,673,464,664,231,649,016,612,844,246,196,342,109,725,138,497,587,651,348,738,927,528,228,257,267,489,458,047,493,852,449,878,187,734,583,699,170,725,729,410,860,914,382,313,757,668,799,826,370,338,271,844,999,253,450,174,721,931,486,324,759,491,877,537,874,578,262,408,046,624,655,034,097,526,463,944,414,587,599,500,507,016,650,909,836,219,305,877,140,316,218,283,979,051,852,214,232,122,215,293,614,336,773,396,172,455,115,903,222,505,611,321,031,971,748,643,954,954,372,896,110,510,878,099,246,999,826,870,186,646,064,816,355,021,538,907,815,824,777,824,743,094,031,855,690,100,943,843,130,532,947,684,298,149,804,311,340,615,495,580,431,964,039,353,347,732,346,339,111,167,334,794,981,672,626,522,517,427,558,034,063,552,427,209,235,941,429,390,030,373,656,218,247,229,490,772,855,384,539,785,220,650,825,858,967,798,334,609,452,017,956,564,748,521,508,737,996,816,853,407,319,986,734,590,657,114,006,471,735,193,692,424,569,571,073,018,946,044,689,299,546,576,945,117,749,418,517,415,381,433,425,925,022,087,980,430,649,302,480,775,220,156,756,860,406,984,319,480,710,538,221,764,501,710,761,452,716,773,155,555,078,541,563,043,300,672,636,256,527,978,068,661,783,211,701,078,704,920,585,897,561,829,285,840,999,983,400,289,012,965,628,533,880,768,213,806,898,008,674,386,184,428,107,108,501,540,263,569,341,819,952,242,200,521,698,707,057,658,186,687,097,415,044,098,836,905,480,603,495,188,349,370,406,461,135,346,309,063,135,508,618,005,959,698,275,451,061,463,907,306,375,371,167,242,655,776,837,904,998,467,246,919,475,127,952,781,638,916,997,423,962,677,906,754,764,927,884,752,185,985,107,563,361,949,863,333,814,041,756,802,972,521,565,447,248,739,574,981,389,644,610,370,696,026,665,111,437,779,528,688,061,269,461,090,190,692,886,452,602,552,288,545,657,412,069,126,780,913,389,251,490,835,202,333,087,714,056,960,773,799,106,211,460,540,309,761,646,052,047,947,196,274,920,818,814,281,981,281,107,664,955,458,953,017,581,268,650,329,117,463,337,974,450,229,793,224,590,215,150,046,181,777,623,332,492,602,228,432,296.68892089247596544
$ 4767911308980311703371861340720640611660217501571114516211414466036653626544728598814393509490940410314984509379109276908541828044447188875119253074506377688906470487124854589185372753589557707025702069740361234557515859019932474627335118212796119318190354713474478097254701531744942464150453061000271313375213801796250163534034912224257107753110564975048733390763021011212860550006300574696443737418135442600599123275508611451328012809554360241715465303062868519489983414332474263438456688058185812385025868098950228917905194686278902040976211350106611687754125753930492031993514409956315729415655016176724631227437288890998759609538623363167105291343645645077868493945526455375960287177666307154147288211005055008723866639997563496595881376191156072710788390813018588988491361289015714711836223657990119712196220120534464630259620024391262644410369638073293808640209410456071849514752478623845444506192949499848752127947416429708221046346063955356383885887034685951935454535008506968665667958824289233153024015221915889401430301428614530244774679625739287782360888612426870778098337080959087214185628872001858692866412045522884042792398664994534174727594462677063048016930927884388921730666461436612227654835973412833823174480178608922166042070690623289744816161852272391911562115680120743587376907673372863312448879031171450145993864714857201035153883037829691512149524750395426486215414843804346131085893743015464474831468136724571481116047925683926168251259565353452959139286472176059420631611242669261069032384711135125447075880412823538065378854139610715687652942269724201535193685042876717689077725973046395036166873055731065771099211560095537219451205784530086203111507153689206679590013408316393289271357317580925750057937497617111248625280781699845773557757010872697865427030363328907442555686275853214114357798748504718361167821710973358782287564399799025274590642777804259039677059303951326167625921192228254615653084173238230303411317524622449476069754729861067552273081815210659727709650786472150635883233071594094586716858695954301627186190571987208860659330450481256720825910726176852618935298237116257619128547246486047782685134505677318053269073485543728158073209319010804529155272436382209968703060892394883342013421582417490623365211227427191426333475002871795213869383997033706471111237432129633505453603079214537559354731071966358576063283595439586132521594527082218605905778981043935648359068267053790042109466873713489991478661029882818372656094389109140929649819641197068072984788332254201619683273955791046204356147849225448941206220465860619231341549832332584599975766302963093747949704604447409105161335390481759935102168719740747790776998813120156782443563635147248103299176460605076966214289903160394740846933185894119279263045130658224012306019348914399577858841473187845736515943520328742308587810350165452794043803362005644551571905528658479527922277554252135034070330494661425829142954416115734432886821838477748813032553213718358135748359459556865855134662375592059437578391685835472702613571854104520699829889092703223256059740867563531073369198638536873822722696238110598339972866461895224806816453879613972522206827119652448765081637519478407357936668465137700688224623738768023299276495597208787193172377887908485454531128460973878835527795448808933863546877846967051722974581354082589728771691174522665066084997457552245995100503624153837793802429186695790706606704722387036451083270952954881977356851673042216359098035049403583531297851064785226676627609571697712105042781042460647827810141057466423165513280585737528139192303539403297567650539323917437153733154979302691295769909915506842511551861079919680562988370683833136106153912133883900833994771318605291135424477273169110728876727961760460915396498914237324814310522991670465039367431998891952556469912114372277515996873888120347839428694998469132181120656643763342161539706173404623223071062520884029516278368121168711088175069034251818465842373917185640109189530558908089446784416417683919348298796336609936282027040926260131668634399863919382140646580838663124879792409236225293089705431036465367432808183900964152688744182331706001766111542435231814130656587287913945872021129844312694991361538321131266203019841425327308304176174330656553134751024856394902939299574138523154030398999299943401386762295325305201164677894237934585387288863761671551324717302356311120071119478893536941638434266044222107280263646238872858280886250086720510715345944225936812154098440890184876378748542337782270021640922574617028628321764896462136117871848376365763297943349712840155027842019090940352438684458440776769747341821448821080765830683948660535774404965986401051672282248671228402273032255509973027717394030502531302802269434656384264006236180774974379092699862853196498994834504897224080265926364239082225451079243224243287353842205649236136323267788107502502744497125779180103710783229873705532063052371172735407266742610392507072656211230546434749045901455101640090286009853691145373708842054349883894347907732564153350912533080353066472860508491935589151240935290978198326102176463151391638464222099375355870016594918202121017598536872226670788565090744356590167101301354643471085172117585490157188162447694129899461854919884892239511253813686269238354205137207362585335104595853150556141866231545161450140200189992344160278308890271420782775198948345534295297396597310137913766348908643513123539137581991793794294658609487775744982656220582730716384246804736730525051885650566904868413825775547004109241784058039173317953681272269314456204136717060437960995193171630441309247563437924423687695809822098638866444999652104171066813381026054258304865556601220531590953489395659501296371258292137166788812065804085682448249847415329799470388915914944644755844038205762118940792540471077158979170198753569061608518078185607643812419973737545944881407353874070092555935231996073728788340830855283900558479123246107388148480015323921485498122416398481540286545700732816161030465326538779374153940502589573164147426085794915652127937609522902295196505263665496157498529086365380724367679359103805678385354313214674637875661839969011133466681456685266740696826661029978668053206039826310312858974341942995178000417352374376933395427421558472759948532574999263151286134164329196817678353840257584301411974579614124473010125413509304421739363052539303970851668454907301449251100981856060763716012584736399339939415194121190742290944444452413211459051151511425654284267311575402680513524710763962674504252714533797426178677716560834608352384081224353959006494450994374913988844601566846365660345636426480745422236461618786829066509917319322564428542672230641303689237115074812948947421313865084143177600994387169267379677727261045921957074288110663959417269062667318439709564734804808466703364789237090914387952545225942819825216465204596076634106609013286812322560640829970457267519531156401085367157580387649748227003272598191523722997135361788931548535451698423821075678415023323722370929392853156481062901817028149032548765542898259221600113121533691278795157032726785081086452076491268637338384885109997101974255327961907504037013847528387650628595248607177482306080141964650696435402691210273443991702271452362759137429215281557972373470121351472252293300173060451910525525809841336829030902221365073819541008131580616988461395929873583477140815059051136026748880974265774227585414527960784813027481545184321347402044329492752397037141418088157204298556043006765264210637107663045221110068894616466156778137033784090117159657981484234549210094909261783214638485205384994157078978514310329432899510010810280138030962561620136784371814118989939914983277711333621450127509728752448995397296006922965268180199832364730582925426066315530385561343890223888274695758209352864490933379645980009521096270595393773418621143840497057510529963684355177480144574848528376181533837106672362973189292158210202915532493485253413195759409489862684452193223262616990257470658651957246808767338911541253963836204551735452723208870493878920160709388574901645469400336799918443462993079860909549582364724949406845172999924245899875956101255880817285979374398633081747740988596257285700619255064388029140486446762591643223395536042465198751699380753526588886024403568945689286095379407199433393474487975563597877678251269427215715412443864023087377011008488034979041120827611136855590638017155339856257425786105558950116670775148776707156998034975425506975163625036412492102242003275047767256857719172103212101601984806334877746894249542829736952447851144063807924848934403909694814981116514962663818708232122663112790318992005466623503585270712743810831164393048686988569418961482737482918190299663334843871300905790178165426304900687616952814211966089789193771533284253463234453015377011088673791183129430351528733953649819848440085318104028597534509876196855155667845917384308808956698391662140354004296832435100068170723747745982451592417236761767173047538890932192273749354695524526798796557348812868208872028912251585294036127898436497091724652868793953118705197865512745336915346440444148837712385684333323377158732459383420697988097225437283915156661166337407793027688503099934839526205555029854816823784099497257368652190153814041129539800815025744867688833356129974466753664750036573448748500725688457815725831643825976456046387592047117342910995872053013980460546022097241451270673859015337228858704443948409715204109535780265576218345050577079545050688377439516688412801842245148173619989462610569696678646861908986870809289458138249043711143704627248024059439494063604949952167447237142224215389286940920737600319738664922446068479398862510830631837862674532537681088277997003568413893330296294780605007543653440098846909480570891981491413896957483161266618084430341265985892457976319941008400526172.23
