124,542,396,742,985,014,678,336,989,765,198,419,075,165,430,122,668,886,273,087,008,416,862,583,988,430,625,539,383,228,132,374,397,259,882,596,488,758,822,591,896,803,751,834,541,375,313,849,450,926,090,919,097,328,517,167,982,301,484,649,547,657,576,595,132,168,514,313,116,888,557,987,207,116,710,947,779,771,641,208,970,014,109,875,856,640,526,045,674,295,819,842,756,688,387,304,727,559,164,664,989,913,079,683,982,696,807,495,634,680,521,216,424,337,264,967,162,959,923,602,538,929,237,659,664,472,495,023,240,778,808,386,731,914,162,883,835,993,590,683,434,700,693,159,632,941,682,881,736,016,036,950,728,433,452,277,039,014,616,407,199,308,476,411,176,883,027,655,143,348,084,205,023,025,162,786,392,467,149,960,037,532,720,508,571,176,509,304,588,868,712,712,688,407,797,441,955,794,790,698,016,196,821,162,219,213,748,073,828,691,398,956,628,257,404,088,602,748,675,536,684,567,599,504,791,334,149,573,909,855,620,806,443,799,353,731,943,726,710,893,932,897,798,640,860,924,819,694,874,999,448,819,736,372,445,453,621,874,402,691,911,276,124,341,675,848,041,744,132,617,201,050,674,884,506,268,249,886,134,227,169,148,620,659,290,277,368,273,881,721,941,399,489,225,964,991,498,133,218,689,522,981,426,408,410,632,048,299,803,776,231,174,627,790,830,503,695,957,989,677,592,436,795,946,548,142,944,252,632,092,017,041,264,116,798,239,259,269,644,889,952,145,474,860,590,572,413,188,591,681,883,731,800,284,139,520,668,514,996,229,953,502,489,159,013,739,239,260,941,564,074,180,808,567,650,192,920,058,163,223,763,005,873,716,764,494,134,694,735,851,969,780,874,613,511,106,610,615,753,548,074,766,347,039,939,015,057,056,278,772,635,602,163,119,919,888,322,464,789,928,686,899,537,820,386,827,051,136,524,112,044,955,510,188,858,073,293,862,753,927,392,833,474,535,968,877,485,151,514,904,923,712,073,701,907,671,047,512,220,485,272,352,514,228,375,093,818,510,328,476,393,627,455,754,047,507,659,875,189,705,299,422,999,572,700,630,976,142,806,302,709,702,395,615,507,072,545,644,274,936,722,524,981,407,380,107,959,566,316,284,906,793,911,624,286,249,527,521,553,670,192,472,058,664,458,004,324,361,053,415,320,754,226,086,767,922,297,377,787,766,428,567,158,095,211,152,744,709,963,584,432,779,520,254,669,848,713,053,622,507,197,481,484,124,871,168,735,635,636,801,421,050,150,762,787,755,253,955,953,229,579,889,835,159,164,216,373,486,301,547,416,010,651,234,620,303,452,671,830,848,847,150,826,540,136,824,885,633,890,420,121,307,268,939,687,303,006,120,912,683,166,661,960,747,463,869,561,978,109,738,158,427,256,320,006,473,955,152,819,067,995,937,650,379,350,598,271,085,025,984,085,816,100,390,266,683,939,755,833,633,976,001,423,322,592,457,053,525,730,101,667,575,045,172,252,163,495,231,603,841,274,605,982,286,531,005,841,031,600,695,813,139,638,009,835,529,244,652,820,443,836,321,730,752,518,778,374,213,208,950,344,488,848,534,596,092,648,521,362,780,698,983,951,829,684,108,393,116,185,615,702,237,609,572,272,261,477,708,118,186,432,042,116,634,321,999,075,295,322,599,378,725,542,265,760,026,726,693,990,910,764,326,357,176,650,066,722,944,321,517,937,637,094,744,729,576,620,144,791,275,347,550,475,851,022,503,877,061,803,284,001,834,891,191,469,476,259,462,645,975,980,763,960,792,330,546,838,752,470,088,803,750,829,116,480,535,019,063,350,608,241,622,140,878,021,621,668,673,640,387,756,214,884,975,071,134,976,672,737,922,613,208,618,093,214,443,042,186,737,295,423,677,884,340,363,601,013,902,353,661,353,059,451,183,619,848,951,478,217,722,956,387,009,526,782,040,921,597,710,255,829,362,386,404,396,796,140,816,445,465,833,373,065,391,382,137,782,169,019,822,264,112,436,781,813,882,828,239,690,881,948,569,873,518,047,400,716,774,574,004,167,123,232,227,796,165,750,569,884,091,801,621,382,889,925,375,543,846,301,771,612,440,702,302,019,443,954,040,413,049,039,491,859,132,083,703,517,839,868,769,781,235,717,027,072,903,591,417,800,112,795,561,452,554,650,578,869,370,019,602,092,989,038,152,579,693,502,377,925,433,733,969,963,602,920,987,488,384,736,420,201,268,984,825,733,119,361,632,696,242,122,844,733,281,632,622,613,361,381,459,039,020,324,432,314,587,158,437,887,593,594,484,138,981,099,165,141,135,130,049,428,945,416,069,937,133,364,772,797,807,979,097,578,684,653,019,568,938,965,837,496,830,572,533,778,331,077,251,184,978,188,273,916,472,587,164,355,208,474,456,102,945,744,784,306,936,923,558,693,133,247,592,514,342,110,007,078,562,377,278,611,389,792,414,526,467,174,495,788,181,155,164,198,044,201,666,371,992,573,091,708,370,716,125,320,435,639,838,402,198,967,899,419,404,283,889,828,748,388,525,055,456,165,989,301,338,359,346,681,167,191,816,277,487,814,653,730,615,520,937,574,157,082,536,571,710,734,076,190,877,000,611,406,174,184,718,458,462,340,102,859,476,960,700,452,052,723,575,785,408,056,233,610,776,057,722,145,116,364,892,579,760,860,574,138,292,415,067,658,395,341,709,274,990,964,735,569,421,003,968,699,779,265,043,351,503,758,836,620,897,576,436,151,062,976,974,257,810,737,952,703,057,940,297,386,909,024,594,395,467,160,699,963,697,182,290,332,415,850,767,579,289,053,157,829,656,018,434,255,279,972,714,194,354,205,764,149,646,185,842,623,692,673,191,201,473,974,758,045,872,414,538,069,061,601,187,836,738,952,671,895,415,798,096,665,735,701,830,609,447,262,417,077,603,574,606,117,600,555,968,704,581,922,488,205,315,403,342,951,683,114,772,789,452,717,117,144,359,020,829,549,809,023,258,214,615,576,465,359,957,886,814,842,168,563,928,793,286,562,314,377,272,542,407,159,446,710,091,335,640,635,033,849,040,461,106,089,453,586,027,880,140,970,497,350,543,961,675,753,604,287,210,854,719,924,878,338,489,822,967,868,671,932,411,388,105,288,025,404,940,343,582,527,188,584,309,689,561,377,949,690,253,430,341,497,006,769,487,473,140,882,685,205,564,393,802,742,790,485,277,931,869,709,671,342,346,369,677,778,975,570,798,865,266,179,565,234,847,433,639,875,053,179,847,195,330,524,640,385,437,581,932,223,229,045,281,787,883,095,644,513,932,750,066,877,349,427,683,010,858,167,727,223,845,761,655,329,372,514,242,277,694,447,943,313,731,388,160,275,143,022,197,251,446,976,260,557,077,560,770,429,844,020,111,978,352,030,700,832,630,276,406,207,365,297,276,247,087,655,257,330,950,861,840,942,683,820,469,171,290,220,245,983,794,577,553,016,688,905,120,803,464,617,922,835,241,815,090,030,788,750,918,736,024,305,081,328,363,645,695,092,517,642,431,891,800,311,238,160,464,411,552,620,757,495,889,139,657,497,613,702,188,743,997,030,828,569,114,768,885,356,306,477,532,016,451,125,347,769,808,506,506,657,705,418,065,012,069,882,218,328,315,856,496,201,441,386,517,114,663,316,448,270,795,365,758,194,658,184,447,089,970,149,204,850,492,729,441,141,834,607,266,619,253,664,718,743,196,961,758,567,920,341,507,865,286,013,612,822,422,612,346,911,388,121,534,984,502,911,473,419,259,277,747,510,270,328,605,127,155,304,289,105,280,389,943,511,697,688,795,675,202,320,590,414,856,354,565,900,960,855,553,162,800,455,137,488,758,961,161,839,264,502,236,335,382,923,024,155,642,287,048,992,969,397,707,927,652,153,571,497,889,990,944,326,746,300,659,075,537,557,699,856,306,768,059,905,539,653,210,479,108,915,874,634,520,877,936,825,220,604,826,512,910,518,194,713,812,694,075,239,180,248,101,710,212,317,536,186,773,203,375,280,484,362,408,150,019,139,777,815,056,065,983,740,687,032,960,900,820,504,464,435,343,806,533,168,955,832,384,120,155,831,807,878,060,894,247,089,976,587,170,805,482,850,155,516,260,497,043,317,516,118,992,082,613,223,813,793,834,592,975,266,480,370,940,199,528,478,633,365,392,991,740,958,096,705,145,861,080,166,167,907,415,008,437,206,240,141,903,354,019,996,426,127,515,116,445,659,972,924,198,547,832,708,078,718,829,318,210,495,713,935,771,087,173,685,189,215,245,731,655,132,049,532,673,950,755,199,762,296,874,090,106,458,608,741,269,498,778,856,985,989,824,559,094,069,709,094,647,536,920,357,193,244,445,643,172,431,645,523,274,987,909,160,733,303,365,823,569,172,191,032,463,803,755,187,183,496,834,784,214,310,248,027,129,844,132,699,883,660,895,670,942,829,306,548,644,667,588,511,372,979,941,659,123,029,094,688,987,393,120,026,922,363,343,710,446,659,895,326,103,904,565,030,436,417,086,325,077,714,406,593,384,701,909,604,715,201,391,393,469,724,726,636,194,258,441,662,184,615,588,309,004,684,894,176,941,696,778,014,657,981,391,385,881,011,651,049,545,679,128,934,195,892,408,151,766,534,186,086,078,872,988,787,817,694,693,214,316,145,120,094,619,299,346,519,295,724,880,945,224,687,848,694,836,343,660,167,928,813,282,086,645,005,416,707,586,388,339,045,291,059,923,107,964,924,195,236,200,897,340,453,911,167,122,712,838,109,390,756,979,891,919,763,771,011,651,212,918,268,050,092,446,525,348,493,294,431,802,531,765,494,432,820,325,822,134,960,237,943,222,809,376,152,107,315,964,450,067,310,743,823,980,152,368,665,417,681,159,686,928,203,817,897,779,304,837,613,284,855,762,144,229,338,578,612,739,921,456,153,331,295,390,285,496,097,281,536,352,411,461,989,972,849,502,005,323,291,038,020,491,406,571,405,363,807,447,727,380,488,638,876,319,186,437,910,211,783,950,829,995,337,816,206,951,162,369,402,714,587,571,412,408,425,906,898,201,953,865,933,982,015,813,138,642,661,138,675,080,874,806,523,228,804,714,707,786,587,129,347,319,704,227,676,689,922,909,891,274,529,696,695,288,062,527,760,343,851,275,741,622,311,128,850,858,490,775,220,164,976,955,640,226,232,169,796,203,954,193,316,392,333,949,068,483,489,095,071,753,370,709,756,588,320,664,262,858,858,240,491,811,198,960,038,206,528,996,876,619,917,230,683,948,601,292,057,182,366,308,234,951,768,491,777,873,044,508,843,839,288,835,973,335,746,399,155,359,459,643,631,027,084,085,969,069,590,231,538,615,727,818,178,511,971,059,477,100,124,198,001,668,248,881,705,072,031,927,659,309,970,876,830,969,943,498,305,190,884,909,343,458,478,588,012,649,349,368,898,595,827,227,535,424,944,453,954,211,727,678,737,978,480,164,073,699,951,684,323,130,530,542,489,280,311,713,035,526,933,795,808,960,985,104,402,558,483,166,362,223,596,398,040,246,883,350,760,196,970,690,102,563,324,555,498,167,172,180,945,136,892,421,866,238,923,523,479,084,151,362,746,722,826,245,161,422,138,537,452,391,586,514,822,246,447,902,149,973,333,427,153,384,075,509,232,459,291,024,453,045,667,356,853,527,575,203,272,699,812,527,317,128,007,096,604,124,252,203,921,039,155,680,276,065,597,395,927,111,609,065,182,883,472,465,696,683,620,225,897,618,625,721,505,132,303,482,311,912,743,650,851,088,178,255,433,236,748,749,718,755,306,930,421,086,544,636,379,295,727,478,351,432,849,799,469,186,912,006,953,055,418,226,954,899,808,414,875,715,907,687,942,026,203,663,528,293,038,906,874,634,618,517,288,269,473,579,409,691,492,764,136,459,896,162,580,167,664,487,947,909,976,222,085,193,128,691,263,155,523,810,099,022,908,710,182,052,244,552,089,806,392,281,956,412,852,212,296,711,722,129,071,647,283,918,414,426,746,422,222,185,686,136,056,273,205,594,321,960,852,231,085,133,838,172,908,671,704,157,680,914,587,411,327,119,630,525,254,985,096,726,775,202,422,522,672,175,162,421,184,513,291,863,321,548,440,090,194,159,809,408,637,654,883,010,357,075,638,157,205,851,230,580,467,712,998,034,805,306,112,000,614,824,435,493,087,008,457,762,136,714,604,242,825,354,128,124,890,335,449,331,827,160,169,879,049,175,424,985,278,299,040,851,839,649,822,550,849,517,431,012,126,097,339,478,102,934,889,266,050,840,230,783,809,581,105,110,982,682,855,204,523,306,733,454,801,210,854,798,107,359,524,454,960,739,343,795,703,493,048,705,690,423,182,176,857,704,983,746,809,758,708,797,399,352,587,746,828,239,143,205,881,944,053,421,367,873,833,164,036,973,318,383,258,247,362,762,766,766,857,258,020,325,237,596,240,858,354,910,332,447,827,581,172,723,162,423,140,651,128,485,306,615,350,412,699,901,886,960,065,300,654,192,154,808,832,664,278,526,974,784,728,081,885,243,400,364,932,250,760,342,006,324,628,925,537,975,216,091,860,865,089,361,939,950,599,547,230,066,911,696,511,249,070,302,205,716,442,252,580,819,219,857,192,486,730,371,518,627,977,481,173,059,106,703,249,210,913,602,165,849,117,068,382,244,172,557,524,099,313,364,353,641,907,238,447,300,605,432,425,356,341,023,196,598,789,328,296,248,683,927,129,393,778,141,235,608,226,972,894,114,930,163,705,839,089,333,775,012,204,925,293,727,115,923,613,305,622,521,790,417,683,221,522,454,775,501,391,119,137,590,323,548,646,756,839,462,039,996,545,104,853,714,987,721,123,111,519,394,239,513,940,112,515,081,432,761,500,630,402,661,407,765,084,075,145,868,196,475,965,379,781,413,209,883,138,190,614,455,154,933,116,178,402,930,975,348,094,452,117,709,173,888,436,882,750,098,430,580,978,687,460,435,396,801,668,806,327,224,473,762,819,309,584,824,448,976,800,745,617,411,450,099,865,483,336,039,013,866,133,038,493,870,425,809,048,075,838,334,180,130,387,120,427,647,477,535,901,975,753,721,632,074,856,290,511,220,901,626,941,755,765,927,995,648,353,790,765,468,048,166,742,023,597,952,188,405,412,814,857,413,080,181,960,239,652,297,499,447,270,899,206,917,203,275,032,018,812,575,310,545,966,736,339,201,239,492,428,226,369,217,729,109,704,815,718,827,207,930,506,315,514,525,564,737,806,078,118,717,489,873,411.959776250884521984
$ 155628210152723403549617516294777617465851543365629391421106766748875130607453948903950367821133481970307646499943782462439837593554517924525272056001619552296096207940615865094583908898574025338513077272270967209861110068048314817041573313520793228647359400273500821524521817837381546775246894567786977716693507221656854547626165805800327196181307282191772370148584862100752180792294090388344792575477630747939145163071920834498532515402145300459685813800914780762895979500271618227911381461439747670830396680227825276959314444133762018993615254046777853530989255289902397549451868507760290018618123781596432742037099584244261048185224516199836978616962654187776754511988515243166598333665888980232435623088323548720971265894023212954130846685803800375999650406139543209194643086593924865089673924440097089323617006496144972066120211937798174197646860922247195889347489595178276287123885758542187911448824702045239581839113406177091400017586578434262254612709242670849688668438025761000678026819218292039656993657521298229536331620451921905951821844672889394894708094389216594979432107401624070588499481579646231651083902928890545186077079228672762069952278395855453922937068336493292728010622650083729188615099305129996436607813098741566005519630235478411827885498088193518553760562626115156916638223131605470432832627120641720556342288242305677751903203671466060316679876027576738765557086783386388493768948928008591350171493330388824113738302321861181698456825469071112249939629804605075052362507346824776521217873531252450356465735593279919101577492847871540501450294821365535111390979543077778612690635160925825542633570727355226519137061737880000673935540831139926348332575220641376743649834570561520937565295330358933852130828065165108979443253636477187724789277170911966148141432894530278766837095952799684480394050259747241813092602149020921349767147260479814530277792982582200824060010945205821295288785083940549257089756759738838081338529654581752652114843376531838846495795652374625482785501129993689755172609381535640040359083193713937923497997575344096751679588893692992424021970479654903481205327144073679993059791317112404631548329662853315551537561264199233885657853897301449251512758050253926494112024551972469375072247011985283282303262797601081432207581474305083327123666173567856528618932954790913338840899370395012170652122379622646868556682851910676612900081688025858218495659382278579115578309507022503180467971445857044741373593855322258806152252074853292258862179576982925767458383434547479357349366014264466394057954363210370583271643025628000386752092082308516783923535831048917604374530546594206927018541724620009408685471460271222817513310163391716316703009384569900996453248432383383856611984237462303240754173839134659766606969083849032134366560190589799909718540165887350125214285778632360881615141285690175430649989680873144216877637615445065125172312445345743712995863552006895231558643196024835770804388452469259499674199991645414198435827344571514636602899971012211294826361849629760732641123642488655039350716573943105191667063260355103513488967966043026977545634115552930683101480187477803329725322277709004521158141757200232004668852738475187056857972559459575419016636098402603637466727110727633098095067824104654714788245470076329950741997649961832806100786159330058737825753033248742711802040503286720895027926353038515908311044551688261189287057321294903710832252084586364622233527776786723899336696213145861674327470142120627687931395701200356851649420471319275258205304185422424442998890059826294261665821999453886219493121700599307382951641619916848916253495971001680598678887070992113767515865029326529523932134521819693596335268658937572080591922411408246935193908424123304400004359170519356059084986376463981377308947114275571084078496146048648873134019628346359662088417880154212391561475131562509178103516471547558259250062510333588836739150068161546085244420384175927399840241489274852029609148583342092496904280550502383422811904095877390500937669191034385571262537270097267892582968936309154046690556486768019560214105482582778245995270886239358265828771762609184718598508301769756199585809397960040341049288071666322146057716880573495316858815480386450376080452587652314923450513595559153593761573367463462116068447237679206252074388938027898354252872121440758133230775155003944713405802411280861525474708367176220052430674631520060991801590874732301450908243169042078834008026094091054956105270499275965776399290762648847923194816322559022283438247524403576538355752860377349735815221214489662173911576553839837699927991355631242082072998689525392333985146158735846445277053773713972985209576063048596745005332093291359531811467716343043303988077308899965983736591665400889611145447640496361179852179317323318650050969000645786218652703136464369142060335646859495072343121183481648299319885311317282625501972843337833884622211898100030870167673086063083678721836427271865964054553601752271199812063395581283419265669193853598545416915732092589961389501601277729001877901788636775191001234180915610525628615334237608776489772081671229007320290191633216032165412024894462524227347534389870224919982517187161082526411652647839425907994830144805070988466902620291901453811957729149687269057494957484307037980348591485157626720724473353968989426743921959775732044805207307507627575207199106570755646491893227673540728546979284555759737608999576487929359617715597195892143980898729031200865305238693767156335740178211191236367600868096374071071476407768346553969319482593537550118473274492467296909837266667914630982935302448297887048857751207047157908000167480007446072819454168289330497097173248219255785544924571107382841644373258134043794023076410915742546908284768206226271643245733848094130931864184763270316555717548706653498200042331609462187724160461354552659098902268177090640586398334307608232623703569652092201857292817313747395256232762225924901822734625268759262325566014918231799263606705401125397635057899924655894241644545129775554795006436472468211294040620989701596247847103341716946722727766043328876066777349462904541728412303299297081807249713000739151986771784279266955474656875508765032963173643283005155955824363835949840382085996431757875796056241790485135369869003995279802382126135338105594439926511697619859542415992467845395048118898267130426630296721359758465911485941052654901080538335348515704234267286006922044437048143070121607965790047181408477587932445240226617876469228822437048919883079515795388965607905674567302050377157606179951240017471209306912189825146469751720055602860178863070167990900374793951750962345086232762516289664832013578967924350010337727161652862246393380875463513904491599642960416701330784940537771921123306964684171816891110490567421051290889599858716838485458480162366161445247247196114266821993052043530107362248528111845344376904429097052348430916056894046792209102149446272959618775020409651924462274335250097262098569432114058821054316410114090799041082176928992551616345062361263977816785856664240753376460391987629854425484734279437493913181356700822671206637899968196371584838130571339414615823034309165093706337564905659947368777084351966308123501320095141179867033880317930178587058411881226644655117539866730723824277404952436775156990517175332199613670314872186661890906779268436592839148544590817160390332301910889672193349172428155568271094837286695762666683683080959633352031849512431761076589966644253738314700509419324461708840130798065200824791318779901273517116942222480905171202928434439242103676038878809841157810271525735409144012286652569370464547207873151157255266633224435696136310057838145407902919636832659695282271000901095416535163157383164251874973344531061316071888692725101908552590576722664687118355739164070627178446099190646825886408873375583346266187523786058238970630685200480101967280654940106223169959595019838787582648705592678574979554564810579518994656480856114955678339695584210309434347225604462089146904513111457572103122761983066127967603483077614031635767696656418938741980411831555380527739926157346948843006201110189264656531684651576385946002216610838892698334481763711125449236034375022764458657483980070066295066567026985522695008037283119121316856115803331873915060586572000157065263485143711553706670744971768335838479051666559989100190082971182683752311173378471183404529594741304979559170645473172951647415570632388579734807749352599328056759588949073679136223800297594398257733077210330140656437912996346786932055195504574162296999566355010917237874637897167964634254086213416685129015539827943092731187451121385235381368904460665623681352323838092351123331125382045396115030024892232521365781228392835873506047800589896578442735740684962370320977886649221045765937168256169519868678934918081501797805302830763811329122869472640043108182028022537147510522959385279464052286084965576530181564960034801521090621810021392943239724366818711986498733192794167433690160873342269460406073417244964454139013806945422624759475380541149842299568767332898580937481546004007551700113490501098397547840440996677425413911314241451472678361943082267127749387965530316739501246685268359577774698150554509699593482979512345411582769035958504780334329139679153738256768185282322515116719225879097517715164580545399065221585689449649279667228460325920935742201577662823152493584312084015563585030396614827657668600154352340252811102931722283820321835716054572025779182116167909168303307202636869969668230121978065583031764371330404702396669959362390694969972693614261789694800079238515182182527418224081461002870708410274407247040489461898173168801831125696857499067553714049229519039217482411834013516852741621972516848071182781079039924681811881393029304710740909203457583679921825014613850889861916069758106127405776944684734581630412.50
