5,968,115,091,316,273,017,934,504,852,080,554,594,099,890,047,255,866,082,908,929,421,387,160,088,227,407,393,528,502,677,065,872,138,384,101,429,528,677,224,076,596,973,718,357,715,149,904,109,659,887,975,610,686,510,931,797,463,279,331,515,344,873,136,579,629,226,941,478,040,254,524,364,709,377,349,816,645,427,634,019,115,397,882,615,421,343,938,582,869,490,794,477,309,480,183,759,425,874,101,326,357,129,262,329,581,145,010,797,900,743,567,276,514,023,165,213,313,120,260,582,682,165,004,000,632,739,204,911,025,629,971,426,432,190,506,873,528,012,840,197,913,725,961,665,314,799,962,728,771,775,121,345,896,061,912,641,725,990,798,238,339,978,858,701,718,968,844,622,811,752,127,555,213,597,682,244,929,434,312,538,142,019,002,781,741,825,948,285,182,749,694,428,544,191,774,099,860,305,378,597,004,591,617,592,888,890,738,595,322,685,441,977,639,640,523,080,781,456,652,662,459,639,551,755,946,036,786,033,331,009,814,223,051,035,898,996,934,248,551,518,300,007,550,491,243,141,269,387,303,765,705,869,007,110,669,483,973,574,120,600,660,658,737,968,821,071,308,711,873,846,556,522,402,758,213,863,385,628,898,568,066,786,336,302,934,894,595,271,312,822,074,335,041,827,911,492,802,387,337,324,765,706,516,567,802,893,759,988,561,246,250,123,518,276,017,794,403,805,263,933,304,006,591,354,907,755,592,961,395,478,117,209,222,590,540,935,383,493,683,604,150,517,660,808,882,179,178,190,184,451,788,262,931,072,510,917,232,361,266,775,912,674,114,252,371,094,785,547,736,623,203,143,206,119,017,451,172,072,651,023,968,492,451,191,543,230,876,145,195,038,586,239,904,031,794,431,424,761,570,730,792,221,286,037,139,034,406,945,414,057,580,933,541,771,228,149,417,488,984,909,060,671,044,034,437,105,683,793,154,313,892,908,168,301,761,189,199,774,159,371,129,342,664,622,928,593,204,856,424,492,578,780,509,015,579,937,859,771,608,281,041,855,712,576,205,049,200,172,626,593,379,429,350,255,608,160,715,906,217,714,001,022,251,515,069,377,168,663,763,034,616,995,654,160,227,552,875,441,550,729,326,566,069,317,928,656,310,527,698,867,980,891,924,465,169,867,711,772,131,161,845,370,051,090,804,161,940,092,860,567,591,356,953,990,556,084,125,680,211,123,297,599,200,296,975,823,069,005,605,492,072,042,157,078,384,003,678,882,352,744,151,938,073,726,575,838,073,286,535,365,009,189,244,341,254,557,666,312,422,767,233,507,210,926,347,880,667,318,020,166,425,248,831,349,835,503,547,482,003,600,014,424,407,948,352,127,048,101,836,594,489,585,623,900,580,672,779,031,875,169,214,511,046,725,579,169,691,810,775,146,742,874,300,886,390,915,688,468,770,923,825,919,555,477,395,409,418,088,652,306,199,974,093,746,051,838,403,776,442,861,948,557,914,719,399,902,217,082,486,772,514,334,541,841,333,066,585,859,749,983,755,613,345,139,660,585,095,533,959,721,313,801,688,798,583,959,581,042,516,838,644,814,958,788,020,480,763,718,027,222,691,954,367,539,389,051,496,792,772,078,657,757,581,908,523,067,645,903,849,826,178,305,035,384,281,409,788,913,269,514,525,426,710,976,766,733,654,467,012,671,170,515,908,599,465,007,470,511,504,714,980,490,558,427,783,147,161,373,716,573,073,246,418,663,347,642,045,532,365,961,241,175,232,206,439,734,855,858,683,967,888,448,644,615,440,910,250,426,470,074,268,645,399,951,258,407,489,878,552,774,481,535,811,226,727,273,249,269,402,540,295,242,341,556,901,613,471,687,209,740,855,579,955,515,389,961,038,477,697,617,424,428,298,090,386,401,030,811,244,410,263,707,938,400,380,312,380,311,056,095,313,969,081,345,455,647,298,736,740,965,439,431,359,542,910,601,339,454,818,209,251,048,311,161,370,719,830,962,670,904,203,886,943,205,392,173,108,626,315,582,931,446,569,023,695,866,095,113,907,545,626,684,172,516,133,787,533,263,594,690,109,706,642,520,902,354,417,447,032,998,168,080,094,047,529,810,049,478,654,504,442,801,964,772,825,511,827,753,678,096,748,929,822,778,946,560,167,673,406,950,527,596,979,100,707,189,845,846,900,922,458,069,035,013,527,948,288,663,066,647,889,840,124,972,762,965,294,864,808,809,807,313,908,107,870,067,501,785,064,793,770,173,143,494,577,823,654,798,865,844,136,164,463,957,884,574,702,242,906,662,687,982,943,654,669,451,419,505,860,743,287,110,335,211,345,836,541,309,802,946,329,725,529,049,991,817,040,190,556,049,850,728,373,098,729,423,411,674,548,630,838,060,864,036,237,966,344,753,322,570,367,486,600,461,867,644,454,607,184,203,553,975,237,477,058,182,821,419,744,669,603,961,069,623,747,785,282,627,492,060,798,116,009,019,994,732,896,998,701,340,261,304,371,931,485,241,949,046,607,322,916,175,135,710,150,450,259,587,475,281,536,038,321,408,920,944,633,978,358,711,546,514,911,603,994,606,210,913,331,035,854,833,823,070,996,056,929,773,755,614,585,861,566,506,054,107,173,345,976,731,895,992,981,810,981,741,918,337,105,989,386,718,464,708,676,936,563,728,480,640,385,897,144,124,676,142,110,245,811,240,676,925,874,969,520,413,289,356,592,346,318,911,706,811,788,237,328,576,906,773,393,754,271,158,110,830,285,448,274,325,311,764,754,869,440,244,957,960,378,732,550,658,806,677,831,031,621,793,105,005,496,707,343,024,043,003,865,780,462,761,658,142,497,257,292,737,214,564,030,236,519,529,197,783,096,590,414,846,305,487,210,714,462,738,328,217,406,504,934,180,332,125,030,877,332,051,078,664,432,093,218,942,725,255,806,108,903,168,819,809,817,250,193,204,958,701,271,284,134,274,569,562,838,546,163,632,624,114,522,297,272,528,157,108,708,078,972,192,856,128,984,502,641,853,909,999,775,219,566,986,592,933,452,627,632,839,570,460,763,735,365,734,489,834,142,813,018,411,429,326,333,087,314,470,730,297,401,569,973,778,373,332,676,529,271,738,988,219,172,659,871,223,026,167,954,350,494,609,630,801,508,671,691,821,007,146,660,477,228,734,839,187,399,052,025,398,671,901,080,070,478,848,246,108,106,601,154,418,484,819,543,985,208,681,716,779,190,526,949,668,396,654,390,103,423,485,508,133,515,854,032,813,421,139,742,288,431,930,701,849,062,924,511,599,342,720,261,198,624,597,053,895,707,127,421,855,108,883,297,713,487,313,224,355,873,575,737,570,744,245,353,979,517,006,131,211,911,388,399,257,284,216,707,905,884,291,016,671,386,415,099,117,409,924,596,419,288,826,033,892,621,183,901,510,794,367,533,879,519,460,107,030,581,534,875,876,669,035,614,673,470,588,210,358,609,057,845,372,102,606,496,448,894,338,376,751,947,634,041,485,898,731,261,531,553,640,946,437,399,829,030,896,004,212,308,355,327,444,313,419,145,137,973,504,265,104,346,213,612,154,133,514,687,667,042,812,271,728,229,615,851,638,106,685,754,206,083,557,110,943,984,220,810,272,978,688,518,511,734,086,689,033,734,874,249,594,656,397,083,736,008,795,983,237,065,730,170,955,677,486,771,082,624,493,773,051,503,045,485,695,407,923,461,719,507,080,021,033,162,084,431,588,968,363,787,834,985,534,442,362,130,698,805,439,588,710,680,903,685,571,845,836,901,802,118,799,648,796,139,458,344,589,678,860,110,240,504,837,531,479,899,918,541,799,552,406,837,763,655,952,559,047,491,768,820,552,898,345,104,872,710,938,655,568,189,843,374,750,434,707,628,810,846,081,056,381,295,650,385,975,060,793,584,507,562,445,863,152,858,181,321,496,117,243,596,079,605,395,857,153,311,585,789,698,609,345,019,900,595,055,708,648,930,381,134,620,367,729,912,398,507,416,729,935,297,806,880,215,582,440,691,021,074,990,308,474,344,357,485,235,086,120,218,827,822,120,863,379,196,067,385,503,122,173,946,307,452,143,329,612,590,630,052,304,357,136,579,596,961,828,171,506,033,304,287,810,838,283,047,552,733,774,616,304,905,761,850,021,024,006,903,378,518,963,113,264,787,106,625,664,869,303,465,507,640,795,735,715,591,900,896,729,024,713,342,446,585,519,655,818,764,599,132,718,473,193,395,128,287,751,289,979,267,155,562,783,414,924,019,352,242,590,609,393,574,622,831,361,486,020,030,672,309,514,924,903,514,649,293,397,004,798,788,126,792,022,499,763,763,722,875,788,014,978,797,769,856,031,008,448,034,831,150,497,029,694,606,266,037,273,100,550,631,373,735,189,502,129,740,659,459,291,381,879,007,401,524,634,560,805,204,818,786,709,070,319,912,077,210,701,666,210,004,657,521,956,648,933,800,140,434,387,008,669,314,959,965,653,635,499,092,031,502,558,959,912,853,852,320,610,922,391,079,396,256,916,329,187,041,056,980,901,848,230,837,198,994,692,733,981,847,800,280,725,066,197,691,952,586,571,028,364,255,838,558,812,729,686,127,691,438,714,448,131,726,618,375,848,235,257,608,683,824,695,302,586,662,447,264,056,606,348,939,564,008,082,488,843,332,016,257,587,543,042,756,553,864,849,630,315,751,568,788,029,265,335,378,843,077,987,091,219,799,867,974,969,154,790,541,578,195,324,535,033,949,209,829,783,626,012,030,109,796,468,001,111,784,188,061,108,857,634,523,498,342,068,194,433,236,041,086,277,501,088,074,746,772,889,360,049,875,344,894,769,078,646,155,381,524,600,265,267,071,627,088,893,673,535,715,187,664,591,471,857,190,796,987,047,368,972,260,029,022,761,063,496,599,166,067,478,017,751,401,487,390,164,974,695,645,023,126,028,872,896,856,175,769,020,593,983,022,923,610,398,021,914,743,752,472,520,357,332,327,412,367,606,839,429,204,338,010,005,699,917,152,314,387,562,673,023,175,370,195,062,891,092,989,358,848,104,621,248,674,895,847,203,023,242,891,310,391,363,337,353,052,913,254,388,026,565,042,518,074,392,740,140,933,475,789,460,248,459,237,741,654,244,331,003,189,327,039,587,227,985,672,514,453,396,538,019,975,834,805,417,066,100,121,594,445,005,685,846,986,101,964,009,942,100,080,890,233,351,578,746,673,999,003,812,969,636,588,156,777,017,225,732,976,611,132,840,378,988,796,429,871,318,754,462,793,252,076,562,786,047,885,044,568,972,151,918,450,409,717,946,968,314,826,820,339,442,185,515,796,549,121,455,972,349,711,009,592,560,231,133,197,365,086,655,177,899,867,222,093,080,999,349,062,031,963,967,769,830,216,570,455,082,944,285,475,654,421,710,048,582,114,224,114,547,438,234,241,818,409,946,074,521,690,516,361,765,826,181,039,591,346,172,573,724,822,518,074,530,160,471,432,095,926,199,862,198,904,972,461,679,545,181,611,380,719,698,737,237,578,515,550,089,192,267,641,015,736,073,866,148,159,340,113,153,763,212,180,058,587,921,968,212,228,356,228,352,452,918,076,045,065,635,216,698,650,964,599,387,106,899,015,269,160,381,363,913,022,885,602,155,002,439,503,193,816,000,730,363,389,607,307,745,914,560,348,626,589,077,548,872,675,533,313,833,651,828,982,121,124,691,437,581,239,863,093,056,014,184,908,416,934,728,352,932,701,265,318,032,259,833,158,369,241,052,190,492,198,228,595,383,158,816,706,782,446,983,374,398,116,078,983,818,597,060,885,888,987,450,734,822,930,198,536,049,186,331,550,738,173,067,287,627,667,926,538,357,334,827,104,696,445,841,707,819,760,782,045,743,088,392,030,026,609,028,399,668,344,773,803,138,340,367,641,126,738,313,192,209,769,311,326,549,393,250,502,179,630,646,104,395,566,071,159,893,128,629,204,685,379,523,901,130,104,435,193,319,056,940,680,970,907,437,755,747,117,325,304,184,785,005,927,311,650,850,935,586,254,073,959,453,215,098,849,513,404,870,652,669,423,624,949,080,780,817,163,295,059,398,716,033,086,949,213,198,867,751,089,665,091,342,839,799,955,327,769,096,889,743,204,979,752,531,359,365,868,185,343,297,390,103,225,123,016,176,268,444,972,657,595,983,427,361,211,548,978,512,828,267,786,310,143,870,650,189,472,398,544,896,095,836,430,772,596,977,917,148,548,330,896,836,066,527,043,362,425,066,721,820,735,989,199,223,062,030,019,807,277,827,724,620,358,344,571,951,222,865,293,828,985,184,698,710,909,191,591,902,727,621,092,596,261,981,349,749,793,448,020,437,493,446,849,883,595,418,107,189,585,471,279,643,240,105,409,491,737,562,683,233,629,714,036,048,369,010,072,920,178,240,180,380,386,994,695,234,031,549,437,506,213,888,189,673,240,957,970,118,830,191,760,818,836,089,525,644,835,038,808,023,150,178,573,501,149,014,252,036,769,573,638,797,914,786,122,129,041,295,931,408,277,517,825,930,996,801,268,141,160,921,854,693,559,483,068,450,767,808,369,677,060,160,958,590,982,275,807,112,706,481,054,489,003,819,963,076,960,893,105,423,425,666,876,211,466,526,333,952,722,504,139,934,323,124,658,668,639,801,792,263,129,889,309,806,915,296,455,475,300,851,872,891,383,208,055,321,426,186,331,241,817,076,228,643,816,222,680,245,130,063,801,920,816,065,777,912,685,017,648,180,888,400,775,123,082,758,423,516,758,535,103,193,596,698,078,298,150,710,572,000,990,376,774,217,186,930,034,251,579,630,866,061,532,420,237,984,186,500,184,257,633,008,638,052,534,027,669,129,182,219,874,882,172,547,032,751,626,152,280,148,071,629,505,874,474,531,666,716,315,578,281,349,583,877,903,065,068,070,704,030,527,868,512,711,156,962,195,633,983,627,515,745,513,061,944,485,010,179,536,788,635,592,519,933,362,537,718,871,363,237,263,186,958,605,033,676,114,942,533,249,555,035,887,007,815,880,232,227,214,338,114,637,681,804,672,491,573,257,933,544,455,348,726,432,158,892,275,592,989,734,498,830,017,569,618,753,156,009,956,543,240,606,771,922,301,374,418,445,092,206,797,982,389,657,567,368,473,778,442,625,211,262,709,578,399,544,689,114,839,186,783,844,365,789,437,618,524,584,234,937,954,618,381,594,403,383,696,506,948,486,856,376,531,557,385,722,777,063,844,345,815,485,915,392,013,899,783,968,580,945,523,070,585,233,199,192,098,899,013,511,927,058,440,317.614377173560328192
$ 20394640625090599770864944014813143101741775485075741034278685723532355001493155042865669879140170942267794636905375355830157422989909271415810200171067262313497539695184176686356324440047268111150083667930580474986332447936134897197597471110245955516637389214700006299145507616530001486047285511846254386523720594030265167902429550580606664005748789912907525828980247362195463918398424217963009303542879281159886111116402968690480876806368617039841211292127989039650923010064887597907573323502583928142642777018378646437406150246015872905197767077294486456830969288689852489099478246357270333013023758622872426136289085983130361024018573842140884860008473274729395760392902803138036808025111352643579322288670158986187337568527539316091570114884513553737305346405666312852953773523614460554123663175214322985502598689932899228736577085205565463706290485398106084347287266293884160583653099074238746444553895261961011257133921536703398013335291738603909199146875464287564195314608939962013931945914613758677175335342905666428094817516718718518926965153747797954681726344327364307751627834680542329171802532308592950992924554389866134818491340924645689725869025843454310090250059318486450802687144853507039989607181380032466097010450916791284645424208811108905128546884669911920468234633401972649640197578914237652243511604095031782943637265633291940664979272262431703460330928179792383643027153228814082728904951102347044898587821925447712705375507440793998240817493658409240636885472476766246520176145232939943121879619143198500518896509456930007411753397234397909189576830370157665147883350824227704963859328070901948743527248478112763049989199087046992643771372955616740797908964813588181420748447022136272933504025459897158077357367607233919346682002760472594263701698975319738215437425964386254382761018186501318358637820691473351324594511233754211005516385191623155907708612297333870444469162025095603887258444113607146588019808182308823228911159341496937459634395523055307293743432779498932268809412123406748480087547035094622339871029671044129514908528198843725010523649483838236573490268324578998561568969526729159061690404350097069726620938617705431303990211574189405423708203763061216796892156634351767960639985733356165178153681778491603041523328836885367330117708623522253387395136886922565489339730036335297198638389510284294376027233953290969473884586837431731470764641336799861448229805387069409649749491102703527664373523615404016189399361851404167924765236028414702620505088549002580471534712409023237848269386783983061176491976316585318254631025056022689714921644296070323303350080688652539143298213690160803382732872584236170205329777869915316593134557658410053421231196795500061427060356326966552729584604924180819054143735158611753108868426512256767283189414974781023195130944835696489436617536847201102454901868111166411274720659339749000073123594816044893463633531909249601435683905539150876494474774021540776168552235060965780218213197824451040686088871185500608505456969435433241577919153904337696522020800028925543483411614694951582597138762706711111640873573482649581035613946873961435681881301549467157218836087320628232842600587483664004473228855108701615654169063536565764118122962057227355602078293749234726871084910611857558707662324164140784080964680071094438875743667426797654073434579159000172028248570020237065499153193019728819216175398571723512210491669465380417813520972255194432009283976728066321637046659419400191345213881484857000574466988068177659228365105928706483875916777398042933282079379600837243274937464444279547662535362850894698825972646883153429218538274828193505825540202682003870115754491228792137293974535094921380184702730105282690826631331086164387227559512805664727214713425983783685179976321430874025773859449115062452800552794071187885717450233811916540663082010313127959739719997594426262069920829035087396033978550218318387634390214186731391922074004329149569809247470697003250169865879406019656398577196495303167218884361629725926433523861763618160116999590973457845294923043979942833187711727739964514571917216727642232801961992871770346417404787123088029245203303140846509588943182539440746908685331848187070053000893163454444994269274031757214809449823879543871922620507347391028168230673492917267180763642684958085405714247975910642919354480055435144124090718468258332574389543502124086768045015574519812861121547001047116883120882315652584655729967002502579910280816432588431919058265324824528616640137839768056222584253686431050067175866850643547357326029598417098353901816954234153397387866037385357145579492776261060472356603633095488628751607589110254043935755215411172938564352998576096303298975106269108263414039163675809677495887205482777123731894684342420446443503640431693016552832363979164954850993415188327321122061293887904872978962942447037414382173764607983503907977864479911796112103228185788848689746026388719029320456751249544978630723120426862681414731393284887253829593172969653894722695197699506720738586129691257958974316782304720926350769532821143078968764406033565731469773093414362888240737494802246958945753779212074390781275751572156219588288635096631324133787131139306559519054585503531293868133337132873632878889793395220580069776062594079356353671715938525751300652273779637552992794218287954963702281704433117221894002218237032255964264663321622588044722261370806116888982522505884731638426899164465919519509148774058861119119784075240212674223987005863672039541269218751728089291879414024341209649824999938843148463178101089540316664864390957215388318313031820566306082527359543552370164698395685139099009891580467269682544401522982529846226466024803493471431618746159325233361114010692179147036878886983754949890259081731703459626161720782618390880367560847403593398264059318292542641791046867558054332290246331343016350646025002011132905503941108858079182457847380297187115358064053178717387611834115366879117786469940947527941847294127129467999649875540139326679691453948382053695191246550937200811935971039642261017339494412946810330474676143188563432216784616575110002444106988647038424289614181488440131112462397364661163694898647855415959723110051015218074286525509477212923858995278481736219019366628023301596282167058073483017452686505466434384070670422417692413032118406382250805309950868875455323876237669603037583426305895506870326253607337651477066700685452875011961357265929040295856877239520163133823697144101771883674856916523345227559069417992722866759526931675022235433785260643121175020221014618483287438594072111411155170122497623796316348684047272667803393807148076781646462725730066259314245746452773172278520915534853228457218595630770112552458336078371011538497290851532342616886217687578371027923309295399969384507063470818038278660049111379396266073956761259610950105994984401959516004012916097314338507910186603189008243726083371558413443690451242807911789429656127106928685434687544771821009358204227028523255953970979893182156097543007832233188245517840175778756397802357920741483830613638992519975290163741912511337226698170144564824665358009516750444599339962406759552515891012880144474344129508458156086314432215124802669244915223617079426993493038423002537735032371605059155591638847640867425666543896362916737101418903520160245571704769994488166349193408959692199634233309344088225246838041683186229888922346965903035228623792975005035118912387995641324440499648243536180270048855030318303600560936262108445317911454598149698527923383398325056662977717082574060170135211585325121797217768473515390893764908782430139310851965050351581790956030159041230037214723616373290514977606548290488011383371212995411190388707090754448757314165436568760911694159912464655159170968999737629525715651026627730317700684271753651037441929168607147588288775547730879164965586545445497832638749447116499785441861823395419217678873418797291441395759823147898168845551482356122374578183651182847763610969493521002996634724562767899283404986563194659290526103069550074775450757952946817599075763440409968673581299547397095641201199196277074915630515548404301468507292545917978880440619986383606297188999941097889261581213694965928670360797337111515793582078511305098003635532880796857959558148648664206923454804393129495170796632332805561858733982242989818716236984007980962106664177469192672225474939786366735939058253281408085595488471688014948999328788253537739794012908203534127405592253461285861800125725541428822545986611943160091516278678008626347293983857076122967656986780259414670406151038374771161739237936079844441164314752662655726428891059909698436154245914514725771616697026688051371533243147012726793257666690265024873683552967831405409841006907903653432236540003526155254635239169475656833998092146187775382097004715717688942563845868479771973518627131549959458836655788018550273058823345988204779969368195303872138341101136483040871267541530376382121045910930149880399956273499152591513734646592909776884024466084953531908015855650436335487170609765337802092256135573644391648578765654858353824895053681891963210075370450406366419337389729701426966568515315517259276830395800309740642830162928476570439042841583339280189190185765297211008641339863058493071309012078317413629129176442086791568895108455440168516129910662610639038022971305954198977951115428798663522541567798567601007797404313623994302590799758085734026519447208407774633256276130692956042171439849307705104895395334066120158775226986107272885216452415941845026758192189537973665381857525963403536015990692166908253150833795674620534498225101901654873670935829288987308877257598036295889299960917672345779769185211846368277070639360457760415096650363375855693613870268099221871130022095682052844463419922724532158347493551248500613320579709353208524659365551838891721223385198693.26
