309,221,138,115,645,503,194,875,069,681,114,742,272,588,638,693,593,352,942,437,721,919,814,346,365,947,506,195,294,593,520,900,775,474,366,152,260,453,897,402,181,768,024,218,747,804,152,789,298,646,300,849,135,547,398,667,452,511,585,655,734,292,976,334,668,898,600,118,213,672,133,519,763,195,244,407,246,544,421,701,774,007,053,785,856,266,387,355,755,680,512,330,219,230,876,706,011,723,600,760,275,851,165,217,720,750,478,246,020,620,840,534,806,863,051,926,244,851,124,998,560,012,701,884,494,341,490,682,066,761,064,483,977,433,285,957,539,567,614,380,660,486,709,670,333,869,014,025,821,468,911,939,806,877,469,371,548,080,501,334,862,459,145,760,775,796,644,782,047,251,918,173,510,881,019,135,104,087,134,208,603,550,721,757,845,441,124,644,862,547,644,200,006,835,835,112,763,060,183,724,724,327,043,785,145,564,493,652,771,751,675,010,345,365,455,897,133,721,117,131,375,237,666,254,098,984,541,923,046,127,944,594,191,766,770,865,458,353,909,373,042,995,521,796,690,386,619,089,717,724,896,421,759,324,340,297,387,477,720,051,509,432,134,440,815,732,237,724,087,690,323,845,052,945,382,732,881,785,691,138,372,626,994,920,370,181,984,027,963,486,939,163,932,386,667,447,075,742,475,348,307,019,894,393,598,326,693,186,195,908,071,436,189,523,014,553,390,505,779,812,483,045,529,453,228,141,759,498,800,799,477,706,364,443,540,640,991,562,403,490,209,879,721,346,993,354,468,164,357,313,610,560,881,936,162,400,346,787,220,928,853,385,592,472,864,533,938,061,989,477,213,917,171,612,067,838,389,605,020,671,840,695,186,878,178,730,682,198,786,528,038,631,855,424,907,312,462,736,261,151,555,116,183,877,469,803,212,694,911,709,922,923,890,344,684,641,089,370,434,783,890,457,182,602,146,849,024,756,932,645,757,652,457,042,714,787,452,822,202,510,434,141,735,366,863,048,773,707,787,984,152,403,003,357,115,297,702,072,841,500,933,571,412,300,595,872,829,617,309,913,732,324,094,271,390,605,878,289,990,381,291,874,359,330,104,741,906,861,428,897,994,930,484,456,315,436,936,788,217,720,566,020,245,182,427,062,508,075,607,638,794,695,994,861,882,693,793,293,443,687,594,670,738,972,089,502,377,823,785,465,693,425,462,986,724,097,709,355,412,396,163,038,109,092,710,734,897,842,583,735,917,841,577,615,755,629,650,049,902,408,572,580,228,585,775,475,410,958,381,903,606,477,805,145,330,585,788,329,918,452,357,640,752,270,699,993,309,525,017,176,174,428,325,081,829,333,548,899,528,030,968,233,068,954,664,403,106,142,830,401,471,370,545,272,493,676,477,229,362,093,132,333,864,910,904,732,423,265,542,982,129,690,098,309,267,660,247,012,139,222,899,495,930,146,072,505,893,433,252,576,869,857,817,131,190,297,155,728,128,290,475,977,664,888,235,379,470,653,834,469,520,281,898,323,420,752,291,119,855,693,705,471,579,659,931,525,598,810,470,882,551,181,401,570,470,108,806,181,437,574,795,019,335,525,013,424,872,199,611,800,600,444,229,276,112,400,114,012,227,403,039,446,295,579,548,478,623,779,570,181,006,245,100,662,234,636,408,989,362,802,400,901,949,261,754,656,547,992,710,612,198,748,873,649,161,562,954,844,373,377,808,878,583,983,081,452,995,062,021,477,692,825,710,771,633,943,470,485,707,810,197,019,975,762,977,498,328,808,110,025,779,386,341,697,827,824,082,692,134,601,688,692,736,152,156,306,165,391,519,281,898,199,721,779,893,513,576,838,235,815,339,042,617,688,857,023,058,831,174,077,786,982,923,074,972,654,476,639,983,371,615,897,366,967,301,030,448,705,359,703,424,444,906,922,370,708,139,973,543,721,003,179,194,160,021,965,958,251,933,765,631,097,249,729,608,201,528,728,554,182,013,705,729,991,009,970,656,930,432,346,022,088,832,023,166,644,536,748,125,539,124,442,536,675,534,484,113,602,889,953,317,599,139,914,447,986,813,313,368,199,718,237,001,348,945,924,024,463,806,315,797,080,324,717,224,179,245,254,200,552,550,092,207,640,806,447,541,387,602,613,142,921,224,270,000,113,774,335,157,486,508,264,500,372,325,333,236,975,647,181,001,535,760,317,905,143,374,260,558,088,822,833,668,004,622,254,090,157,179,899,450,198,065,570,285,444,321,074,773,302,699,691,387,286,897,395,306,827,285,794,538,907,055,004,792,685,805,401,168,292,865,762,719,147,936,665,294,438,621,469,505,311,181,979,047,225,503,951,405,409,098,902,215,550,844,481,688,947,352,961,837,073,272,953,047,538,661,470,142,835,196,988,102,288,395,126,791,497,318,381,479,024,238,898,510,817,497,709,313,522,620,593,148,217,048,788,577,195,708,276,546,572,248,779,845,999,281,010,639,593,136,252,616,843,413,469,488,658,542,992,462,502,544,836,986,971,721,331,069,675,911,803,396,209,707,965,807,945,849,899,153,391,461,355,220,083,015,561,662,052,154,722,185,263,493,814,548,508,793,395,215,750,931,200,581,972,457,671,615,401,251,373,911,780,484,518,456,682,166,794,149,979,570,606,773,676,278,132,527,952,901,148,336,667,203,092,835,644,872,465,361,854,499,390,066,441,777,631,001,711,568,187,640,432,700,487,159,752,397,355,523,413,040,961,621,639,316,151,738,898,292,826,411,880,187,862,291,519,601,328,323,798,673,161,081,327,173,671,860,584,194,101,435,577,532,438,351,130,008,001,156,139,891,516,796,998,886,212,233,956,108,109,908,005,981,709,381,573,875,765,130,239,035,031,845,731,187,450,923,224,182,033,329,814,782,485,001,015,185,426,856,699,201,925,977,136,630,292,353,088,279,264,963,299,821,545,872,903,170,984,965,761,319,402,620,397,648,465,684,668,996,256,172,336,261,067,489,622,092,960,447,346,262,500,796,619,194,242,855,120,826,811,728,609,594,557,976,651,500,961,449,694,323,582,032,391,080,341,046,018,405,097,925,685,962,714,979,786,826,589,448,082,251,704,986,866,170,774,169,367,666,957,316,878,934,705,257,859,030,845,715,654,165,003,114,056,951,102,744,211,302,082,412,863,643,274,609,333,281,080,060,195,409,947,417,586,063,734,438,561,499,500,834,736,784,121,911,917,109,245,018,545,644,028,040,368,061,888,914,562,289,364,544,108,957,770,289,360,389,166,762,064,156,752,840,049,789,912,210,192,366,008,931,358,797,403,229,087,465,004,379,354,942,669,807,009,906,554,533,833,201,582,518,978,909,810,759,716,488,193,319,293,136,678,548,760,327,686,527,568,741,549,727,416,457,689,357,814,274,739,699,499,675,290,516,128,513,079,325,146,452,401,976,849,647,191,392,469,188,173,053,205,439,122,581,418,067,583,258,443,192,073,538,870,743,631,826,187,996,858,509,618,227,473,267,551,554,704,804,205,034,687,231,033,649,355,793,815,749,716,165,268,330,296,053,406,075,740,388,223,659,347,172,281,356,212,461,127,717,379,711,461,516,127,033,507,978,221,871,019,353,280,743,369,088,742,958,188,731,580,479,769,818,942,545,679,977,227,660,534,503,931,804,786,784,201,623,482,660,341,753,631,789,329,978,438,362,009,621,287,497,795,154,890,000,638,357,542,129,891,931,843,485,482,009,587,681,074,729,556,202,575,907,146,847,773,555,446,232,638,552,577,552,110,873,126,395,049,143,916,490,893,167,254,982,488,978,796,183,368,643,736,662,803,608,070,723,159,214,937,834,382,579,370,179,199,045,342,717,638,936,293,668,338,905,020,453,379,650,937,697,330,040,768,309,385,225,525,595,425,270,326,161,109,833,454,860,955,381,042,063,876,115,387,624,084,385,933,070,918,767,142,429,936,107,600,463,872,141,597,661,779,951,561,109,895,375,223,117,280,902,144,041,125,842,908,409,659,818,951,800,627,661,475,019,932,373,925,142,361,614,031,857,623,943,767,473,185,399,902,559,881,259,710,067,229,646,921,874,262,785,763,988,194,515,432,123,037,794,506,887,287,633,055,788,714,551,551,054,823,434,727,608,124,466,061,934,589,715,595,285,887,949,115,607,672,812,319,122,194,782,409,234,157,310,881,553,628,686,929,006,780,752,603,738,589,435,711,671,795,928,080,994,144,399,060,838,464,842,783,294,753,631,855,184,966,129,204,628,062,614,773,797,792,232,349,285,031,876,640,548,023,839,897,122,155,213,307,069,849,282,821,147,665,221,340,601,142,453,017,497,991,468,728,727,722,047,674,639,698,464,544,813,732,929,622,418,533,643,969,707,279,168,342,099,834,708,307,381,849,470,292,020,576,931,401,877,623,969,706,884,729,983,432,624,628,228,936,456,698,913,733,770,652,744,042,168,022,731,403,604,392,297,541,003,709,728,912,817,383,093,461,377,831,955,403,573,475,136,226,249,605,063,530,687,055,278,278,069,578,255,524,786,304,655,588,762,856,349,865,922,023,964,111,508,056,583,923,555,006,454,654,384,747,052,537,502,773,729,740,400,917,602,573,178,316,268,003,406,040,475,885,664,866,328,941,042,716,008,462,252,707,693,020,724,663,448,209,784,500,808,828,210,578,798,423,979,620,122,852,068,149,285,113,202,394,028,714,321,666,411,898,876,560,688,938,826,155,568,197,869,906,870,109,762,452,082,411,403,539,695,408,823,084,184,780,858,402,195,697,249,818,847,096,695,907,626,885,172,470,216,987,512,339,776,508,691,970,854,192,999,761,441,355,142,604,625,577,828,724,817,545,708,085,339,072,397,397,212,428,726,894,174,787,655,368,508,511,156,959,234,389,976,732,170,160,596,148,857,032,963,917,413,188,107,543,178,427,462,942,646,066,536,893,903,017,510,726,350,373,631,491,455,679,252,131,805,619,782,362,723,136,670,005,210,218,289,892,660,591,186,906,930,464,491,010,583,709,144,704,026,834,981,635,037,041,746,628,129,470,099,574,250,662,413,493,947,123,215,593,524,239,388,909,413,867,261,647,136,309,763,115,149,641,196,089,709,696,282,456,330,687,224,845,434,640,567,675,754,517,953,389,948,573,994,161,705,746,510,760,257,879,970,891,580,900,278,590,892,619,185,288,722,861,260,638,158,699,263,601,020,811,495,371,055,917,993,781,326,261,578,464,170,519,728,634,672,192,054,041,591,858,641,533,022,173,773,066,571,032,412,229,929,966,068,571,094,929,184,561,320,784,150,006,750,674,479,912,506,165,251,396,123,247,185,178,390,274,141,168,703,996,238,601,064,796,186,079,682,731,781,914,028,624,755,957,768,609,701,790,457,310,816,865,395,102,530,196,853,761,587,406,689,647,906,708,680,274,282,481,291,564,860,171,888,375,571,635,997,431,037,215,938,073,637,659,075,899,120,231,500,483,674,637,054,168,157,495,853,129,737,437,025,380,966,062,187,783,079,810,764,345,708,659,166,619,466,175,190,646,042,177,323,134,073,439,960,602,378,983,758,144,187,943,444,239,842,691,722,834,718,121,558,113,645,093,413,270,649,622,626,526,157,506,284,962,169,949,303,765,636,177,650,115,069,283,759,704,514,677,299,887,090,720,626,285,825,374,494,917,740,712,947,834,895,611,317,328,666,051,265,144,247,681,937,207,081,546,923,598,467,926,866,610,148,446,757,662,805,206,504,625,104,833,580,340,097,785,092,956,978,867,428,341,000,674,595,421,080,296,531,752,900,124,997,827,292,317,202,532,086,813,195,565,359,063,085,247,786,745,006,929,120,447,178,622,576,061,342,342,109,109,606,460,078,432,254,600,376,003,089,333,016,951,590,577,767,236,324,497,549,090,061,967,994,181,464,286,335,639,477,894,267,240,628,727,335,172,335,593,159,459,303,396,187,444,588,564,414,584,473,069,319,523,753,536,398,987,893,247,321,623,150,748,106,939,012,838,405,575,788,282,305,653,578,350,624,063,500,272,235,191,661,600,034,512,009,982,178,872,391,268,184,984,969,521,454,951,842,029,900,216,145,215,206,383,330,966,181,336,430,389,173,507,494,791,529,347,034,167,164,090,136,845,058,793,612,619,214,848,406,306,369,471,114,125,810,780,312,459,682,827,127,440,034,569,830,561,131,745,876,113,685,341,033,359,316,575,731,372,561,721,409,607,838,233,975,282,207,227,992,514,098,513,886,022,740,950,013,834,879,292,349,150,971,505,919,059,685,834,252,469,630,531,131,232,439,617,823,730,161,653,042,766,581,899,918,289,501,418,563,644,382,961,377,280,951,680,018,560,863,094,986,773,796,138,866,210,652,932,890,254,627,827,325,873,356,353,458,519,930,429,080,635,850,809,257,108,930,769,042,731,192,131,888,151,253,253,495,893,740,327,530,916,614,620,862,482,166,504,339,891,228,615,110,641,655,591,756,652,593,939,283,736,476,413,228,120,355,722,257,270,552,370,168,668,996,637,167,810,533,645,358,102,942,819,972,873,539,848,376,161,004,594,813,137,485,437,969,475,834,634,703,308,551,744,628,294,801,550,449,551,400,372,545,586,332,940,822,294,846,262,885,833,140,466,073,053,118,924,827,785,193,063,268,779,802,486,155,356,225,335,378,705,140,249,287,415,539,142,622,556,195,273,164,737,600,247,260,684,533,465,064,650,069,753,697,028,357,491,919,334,819,243,249,969,587,540,855,169,977,795,610,162,965,898,064,645,291,152,769,847,883,630,588,480,487,366,664,586,698,561,420,866,259,594,037,716,779,461,507,923,164,594,680,792,624,148,023,228,941,153,560,451,371,432,670,527,084,003,901,721,607,932,918,334,852,371,435,228,042,472,127,078,132,575,859,768,035,126,692,596,084,275,542,887,210,681,631,843,785,260,673,922,351,869,850,255,269,205,271,120,848,621,046,396,793,567,811,421,774,365,659,834,011,638,575,793,433,700,160,042,503,194,636,044,356,921,150,803,545,641,729,763,150,299,174,969,876,774,179,662,572,984,830,606,501,506,011,922,233,314,722,857,997,532,429,808,346,351,234,155,831,255,350,953,208,658,718,125,697,146,514,615,002,633,693,018,281,957,479,196,124,279,342,422,838,218,883,482,650,353,634,544,762,799,222,245,591,576,055,254,295,989,623,725,509,369,090,940,264,610,955,473,015,337,862,580,231,888,939,226,825,183,787,275,832,635,749,054,520,857,320,599,438,611,646,497,072,300,797,965,799,738,890,653,001,261,682,919,914,217,868,265,894,614,014,522,363,552,444,163,947,641,920,517,758,863,543,093,216,879.206082645839577088
$ 597212174760863325903930148458249028081171216391040554285886149435124839323926564809575961238968763965159145677013945663377847591645653800491612902154672185678197131815749829075575897379268237215591211679137733854217328638551524109812646080334613942937324659738628557656906479664913644511489484333044429902680063584032904375150547294941406175860648673754906076792453599889095399049148243941374859216841921430874138972947263211586899508054641196092421110344045906114139563535879715650539898648939334142228342675887248086871000875603861120222708706015642952596690868028990494420095529959443705678583715308148178486956829997462593424150748220106065452690417583513885214246066448238570952474238014801017270401904078591502446234659714215309848233972958090231172282953471681195048831610342849861490234722100627302780738079176067105602336060235665583190684357255654747033148421583833572479296867800632348551721498319928752775309797801865931135577007564962622850322918446268751219371180976807742789081474147505355794612883175066149411007451834451242591300025689618787747251676027723299918966802248522740994095850562155721120837442242121339082441697641223318320372348680549833459094137442579963158548657718297612810627883995572413638019715319657682538046954186614186025225329119658962697517566397660581826528591649679353388010995085689461046400134671689860954757265437206948250829571760022728104396124401628634078774419085994694381200485345593760657994289978188476783703546388459539206099062865257558029506260886577982658343807103918051290039414564861066207683277996718396915082540859674317490436126825416942264531686007049130443656684422286179789024608761219019708392611834501056654886932692747444311843967259356707146709859025503908919873948138714814139246265924194664791243035928294629684591092403206253073505953220455907860834110468871931644684361768093132711181704357887831506252461260045778094125362218313555580420490052173214110989942641229404746991813266791715108622179901762935904791701450140621340611489929758798282963689861392011369440896822629149081219287935158164581146536540560530520850311528386608701053651100340305454337600500760113332627105541047959940156927623600377229761347743153072568650154071877672459880870793668931446185110228648995004011495877045713188796915186509581340186335854409011460296641260526868342322333347354634309590272413512043369203524985944019197570813974770694081887411743579454634812471519054589888371953847130273795841538167982777280656688522113057441005660388227524336556609345363964796609875882448398360893649134045385823716186343104369425443568267907700912483166855736393501842434352237499317296485446490488390814588614308167621687700695354123709518658783430992967053575947264646503794894564189289812841745430871894429333908090869504937068224989205516842060614562156962911864751125367933347863159966962005824898261753193384393668214773718361787841137244041957016829155517079333063905295838345835592669756617447357237890902959743181462001941780008208117464098733177910427961291770621135371159112492947595826458238989142073873183819045909752915705676943063430111143128391552834800720721656589104463654481647930916683073600683076614779499418461561971596314591621527578038657716445839041150607965303614961630226086653924381289090488095265212403756099914549166715812156462911176246458467786134996354177852259884226567683546420231480809134539071602908301045024581291632487913728613374438220243067534837127201722504356288424152394590904160354693150165029897053344192115830981694499468766352617093133005583914058038903151885853581383285393703422593560728535942172671233683683764790359982489313186351069336075338620175775191731614393952234969049970731141191676064738139176218335801072529281569690810526238592945764827577151273397030329437416352576847229889051207677531644558546172082389103787051243611408868302357134952844854615490138307503153527236321500133149484205185148537093339724126251771134382027474581993323521270980308491923568735165497017770135345175674047142901424773773395310227472851508881812804976537515925498502354287355723016519942040716006639197893239187773496762460015941319866224969506938981566539601977505791991953750769924112273423145461860573071763446824314750973095748704151633688915121298494971396269965288318070518922523253165004604099028696342783141722849472409514662370274121529180616465589914645693941734491133942831081408497569640280981696511531681878025760754712093012227096885959293168856387559914975877491739434152899666034182307232334515475057758254750797350497425945142309077916149344202873653938194336278033588357472697108688771486509612758104617806947633374065606273331943652361379424665150427297176175516693122652695090387588245507130230226267558377328560826342245717594128470754065242120763470164531568441579590653435503515424539186227502822751277355800475150910170660467479238055086965663237893225290648287170519320072343916565122645257000719282821916374348042507100389106736428153440683032912142905568449151672951417288050375487456960002085752868575898414414601258979461397582199226916130051390374317110775729890858766579902431604471118465368321006456342558000219665143002347129410647555948510342856996818135003480244206268877449690906203927961135518070831605038015293972334886044530065732929705537248844837191417425328827806050100515255764654678943497480884559760994391370613217830176123967878848821240082047775188502677137477104096401672143524095970172388443846745767599259391045567498059754075699690769983314432992936581740124468150866745635131352909112062739259354433853248416171460616789741635830819207596579646120598831141770386803971890157968425524275236628774968913784436893290976354047619884237921625216024617712119234660242485205840303627263859864030701261653626699726261331229170776901598292622473128899016341411709186675178471958060830263038660881404496550568964189103807271793494003543753832106867136448567060119432525585733566181000002091336023717938081677635015867760143410210604310908708075845240270280668026225393211795024123124176305620804660745096162652826423951415787714653549786800454540920906291272352961706388986971915819436391709555469566203955401738652769686868304859617498229173389764818211103060242026267321370388220350595129606214358258231096966505008792567234652519548321385775590449555459920080395552251447485892644350417765494587984400592532008617050437867112213111361228175379875766953945516941881778514930332702916592747536952756397502320804737629949470253345366547592106105918003744819497004992540296421726199856775840014607649849933119308290637569288266233800290992410274416169113574655958096604586185010887955587394218462049913361110205134421252093390868378527737279565252602232926374824485109754919507609622081345681788871458513044400208267307755764520129550058971497366200992400994898411856366987203663031783003061627692182989232254004260741603983348386309074810000605436079122320670541489900884356398226229745469094239515679117199283362687050197495697448452960956424361746875105724118789872527747809308291303593627963633374038444591715881381029978440069270247838842299989256443437811603865860419867918175376758625121341920272645351120446057136961816831725838810173527496248916457370222836092740721769334324963591592751543293275496377729883065421914794204501518832179366993951990642836953698012409630970679313373959203615452558482717786511343021567323555446338078482882918758551633762817941584888235375867828063368218642667243504214266337596148400748843468235748753678548651585905272888982946369126342473003991883610831747102601730804310579709737419417823377752184723543826853009976618651788930350321102425022012849563557463542103288526866195346740039596629074831083438705589671455171918639932318306566590851164193109121038908871475277758808885363172307433137634228853800011164805769552916248440189481066972243243914869515289240594091645587806948149733533536852156001637398295441285321177397507905714168694018578707073409296133323848575048682762210948690059095580845558941143446545665291709624537935115866768608699556660052196685470436131009532269256852630393295643604588826243795674620296518647998347899794433791477285825994868689908727559921049065425768902541618606514686309872187673801580239218969522014663746330900194214564402260630631208695610030816572146082775281148990345078949888004829129008894590853380760464130942566996479405719611396848283774831611390807045529778834653794965488425277787583886850640303816929829875017193422620012032267574713212683483754384130539180276778930286144393967956222535455875091081767162142370017671462260423083248234241030979225926307586183446768387460062147581118831716190908289672160338340126808837264716712510982637356970169927737035421415646015651109830377966122466686125526411089767129086895968264041597569415304064394453180103447108489081628735393345283114594518358240998166938475245280004890974323530624255950222690976738037403812363042287671312098402142366902936708677346155918756018853043830813059270394928713535532801610491220470187809814984299281328849229820754063646486776109188725619919647662795842792461900666161022113452868525339134449849628154204110033906080543001231714650644269620563068470343397480938024174533051736239236579308984915533248049332591193796284302798257116438263928603582540367645991315093225665188953719127111604887065471547477093171661832575027385246108342614392768329471517531142684801895495356088239488229986276571809675280954082526215475218669917099463449311465776747570722857250626868409377397260284666931160022349697490140231696404733383567993189455536773413092276943107546413268420842991878367143421588945012148028398096716015174026517724444729650503158643285264386357359582341858710122588506350012689954953996232135357058585711283132713463758710037598576083661319875870352443524499853461394584944445228543.72
