12,647,815,721,078,609,967,266,726,064,288,482,003,829,491,483,761,972,283,844,486,335,367,320,134,346,358,579,532,977,904,048,429,268,733,061,163,632,286,707,855,382,229,938,748,360,209,485,010,502,185,732,404,027,584,395,702,440,733,444,627,035,747,664,634,548,173,715,537,170,405,816,345,314,164,300,623,993,350,950,970,374,439,220,101,151,262,312,325,053,823,391,863,476,944,111,435,012,495,883,849,827,485,401,929,692,004,396,341,396,283,101,659,385,107,816,790,147,985,611,198,255,600,307,135,086,671,575,319,313,732,686,165,963,306,869,717,637,128,794,084,416,229,176,673,892,546,349,999,226,476,802,570,435,741,016,804,881,232,953,973,354,494,121,294,751,149,073,274,679,773,219,320,908,714,578,359,808,018,051,815,780,778,576,993,867,768,112,485,396,203,588,391,629,157,719,293,413,259,374,701,552,930,405,768,978,647,553,897,722,742,006,752,473,922,295,454,455,227,954,694,009,511,792,800,283,655,359,782,073,999,156,270,978,761,690,780,000,319,249,317,955,487,511,514,200,445,553,368,352,901,489,248,558,157,168,062,462,595,851,632,641,339,525,656,738,184,181,585,604,673,861,679,696,441,025,625,965,587,791,613,409,013,503,458,884,227,759,232,073,906,369,480,677,531,115,503,162,511,656,347,325,520,779,046,919,178,283,915,704,757,161,689,050,126,969,294,181,528,950,134,188,779,140,838,422,041,801,864,513,233,674,895,815,576,630,127,061,129,634,163,702,905,791,708,853,435,103,196,532,440,684,177,220,957,366,617,744,661,551,566,744,869,763,072,526,483,509,395,544,707,355,231,536,296,471,290,466,608,194,050,304,423,400,731,707,608,466,318,426,023,863,757,263,946,559,698,599,136,371,442,166,920,335,085,644,787,784,838,996,012,815,313,863,111,184,346,978,583,234,422,935,259,148,159,752,121,067,706,090,184,407,106,150,298,804,716,762,508,047,176,403,852,231,820,785,639,764,377,549,929,720,655,189,213,649,559,982,755,680,718,246,074,236,111,841,591,299,474,093,369,218,498,313,878,504,372,966,965,568,012,732,280,254,784,145,968,128,161,642,796,121,493,452,784,817,442,706,707,833,951,132,533,311,807,112,583,481,779,917,474,530,483,199,839,302,409,738,437,610,332,457,770,846,966,467,311,474,530,356,269,017,516,329,197,359,379,004,483,454,599,597,254,293,473,411,959,014,793,982,620,887,049,317,315,177,202,111,028,932,261,817,782,136,787,838,384,138,765,593,574,412,389,551,601,895,403,823,857,800,482,508,270,542,235,414,368,640,976,029,446,984,139,462,257,246,293,378,291,146,226,852,904,187,414,957,353,036,319,501,007,848,491,894,509,760,623,581,105,889,539,348,770,488,819,265,535,043,584,613,304,424,794,465,168,271,942,201,388,981,840,059,730,662,611,524,293,597,537,708,189,467,761,468,534,664,881,541,073,895,680,860,504,605,790,427,208,330,792,614,841,439,366,796,953,156,526,631,855,957,777,701,780,735,073,163,788,495,682,217,733,021,907,266,349,449,539,500,919,162,922,432,876,100,238,943,525,079,192,296,450,412,756,339,590,389,430,424,318,994,294,584,804,802,082,303,831,704,353,397,828,425,417,900,676,839,995,489,746,513,152,868,531,951,069,776,871,187,735,937,030,443,059,070,962,189,247,467,899,520,552,355,659,089,487,913,883,222,030,321,175,847,812,416,964,577,693,013,949,205,492,999,318,006,778,095,739,060,141,100,444,455,902,816,272,955,095,465,122,669,997,700,325,580,992,110,047,721,003,642,927,812,475,142,757,241,009,172,049,387,693,264,770,445,803,440,416,450,003,827,999,234,968,457,994,691,432,492,942,223,528,139,963,706,148,773,636,677,381,387,199,207,509,335,457,283,051,068,137,665,166,535,386,942,753,363,978,532,720,257,140,449,884,210,144,412,676,127,407,642,058,177,613,491,792,824,927,632,182,394,187,575,784,389,837,415,103,035,704,636,872,961,338,745,365,204,251,482,261,327,499,502,652,454,350,043,309,512,142,712,678,224,084,777,730,038,324,817,356,235,708,607,271,340,307,490,767,919,939,192,254,037,814,943,201,257,724,815,626,660,888,626,104,455,715,987,050,728,004,416,616,784,324,834,762,433,296,500,725,361,304,458,420,067,876,312,558,740,436,785,108,905,667,518,056,340,797,265,200,036,424,831,337,591,733,601,194,425,151,025,221,554,283,334,436,898,322,962,346,687,479,883,666,018,819,734,199,020,439,697,922,746,980,956,089,102,625,604,611,761,182,576,992,734,414,270,582,977,353,032,779,310,704,163,851,509,542,034,647,796,673,432,343,342,909,306,044,370,034,135,208,478,746,134,556,422,460,078,784,016,238,193,362,497,549,847,248,615,851,736,810,023,422,000,312,429,567,727,810,632,667,543,981,434,066,063,827,063,482,523,052,920,696,205,293,833,262,990,557,259,836,238,239,189,492,336,764,771,951,752,049,072,353,217,749,911,868,407,492,393,369,574,644,282,617,688,288,934,793,801,160,389,325,623,314,117,200,970,621,425,847,716,121,274,300,455,672,157,776,532,250,816,498,603,186,241,903,450,865,986,094,981,083,090,714,664,386,949,163,449,018,909,987,306,337,094,944,482,644,141,601,001,279,955,211,990,324,950,754,963,588,691,875,199,648,843,712,230,321,646,226,732,882,837,014,529,907,405,902,816,259,988,281,760,680,847,183,281,401,182,642,524,941,079,008,045,318,078,568,897,686,380,227,431,718,938,566,758,386,902,265,271,767,842,037,748,595,786,677,203,544,963,085,374,367,770,766,409,706,672,213,093,503,083,666,884,257,810,034,130,586,266,461,098,194,790,963,515,925,074,988,132,250,394,910,250,685,926,050,409,912,132,632,070,043,554,821,905,361,449,043,137,896,887,681,538,717,683,978,412,558,859,909,271,420,981,021,381,992,637,054,728,395,666,373,357,484,549,218,945,785,591,511,611,777,014,766,701,511,001,855,883,711,115,963,458,972,932,888,567,079,200,954,003,575,297,543,330,654,143,340,254,914,948,346,406,838,237,882,647,872,499,093,894,966,374,066,750,001,728,477,127,430,643,658,117,726,634,993,739,952,926,038,639,508,825,341,288,828,599,131,613,935,769,313,280,442,148,327,140,987,916,773,463,832,528,099,715,136,949,680,033,447,125,162,054,336,139,683,678,648,046,195,798,653,284,287,602,045,225,722,035,102,368,379,022,264,595,411,970,602,045,320,352,807,933,510,872,276,929,186,566,578,717,773,124,350,700,660,678,555,397,818,178,572,907,338,759,182,160,784,150,818,627,229,683,951,992,750,392,121,734,435,390,643,592,293,627,959,710,256,435,618,255,745,539,743,640,984,429,446,050,564,946,125,517,919,435,214,537,644,770,754,564,610,720,522,839,790,117,859,896,912,881,117,335,087,698,022,283,641,649,211,348,037,350,850,443,185,116,770,330,556,327,758,198,524,305,628,404,376,167,547,277,812,740,922,378,399,816,800,043,575,998,370,397,371,448,490,256,881,129,009,792,011,697,854,729,834,615,099,014,522,162,162,973,408,164,363,179,622,594,461,508,294,100,287,868,599,461,092,372,558,198,978,870,454,697,216,694,709,204,194,635,242,168,404,677,926,051,810,381,122,588,954,103,093,340,525,666,453,196,737,831,535,406,980,422,750,685,065,693,611,738,755,630,854,025,419,418,075,563,636,324,027,864,415,359,689,671,974,536,030,817,354,669,652,752,613,366,051,405,297,246,363,920,201,592,376,766,887,763,164,355,777,332,036,123,056,578,195,308,390,258,859,603,667,599,020,457,769,646,177,299,813,640,201,882,463,791,286,117,380,202,475,299,028,183,588,102,924,396,607,228,311,909,533,145,371,008,327,609,324,699,221,557,718,619,313,287,955,377,218,002,530,310,028,141,331,935,630,373,315,081,480,120,065,165,917,538,970,343,153,253,456,005,399,537,151,413,095,730,660,032,426,101,311,287,314,948,189,499,693,234,449,993,871,666,409,373,470,332,372,374,579,903,161,097,275,715,188,760,245,385,547,107,800,563,020,813,991,325,448,204,199,345,420,384,067,068,892,751,951,383,514,888,787,596,297,699,523,267,500,318,549,441,817,930,459,324,550,523,746,972,546,334,215,045,678,997,012,480,487,155,409,174,937,205,590,054,233,371,272,263,760,615,395,134,030,692,374,425,253,620,889,441,765,590,367,288,419,645,987,620,278,688,214,511,470,719,264,583,036,141,316,562,307,272,370,300,936,149,982,299,354,989,827,755,392,326,553,594,188,812,850,220,879,331,829,174,236,259,451,758,075,210,517,566,109,291,948,736,507,133,389,019,885,500,741,029,756,450,995,407,169,614,454,789,239,521,982,257,539,302,056,013,595,049,068,437,102,916,829,482,858,124,108,673,913,264,311,047,960,240,317,800,806,276,885,359,839,290,229,619,441,121,463,694,211,529,591,329,735,105,803,767,542,039,214,657,743,993,434,856,398,192,980,638,869,249,189,732,826,010,785,260,018,156,058,956,154,529,991,156,062,970,696,503,156,769,894,868,732,911,435,394,706,938,896,699,196,154,845,080,354,241,503,346,790,923,487,333,224,492,344,348,796,958,233,015,581,402,133,710,888,764,068,535,989,420,993,644,554,796,752,581,845,007,322,221,410,445,880,048,075,265,054,586,821,199,532,423,323,219,625,556,821,709,775,970,627,779,953,425,765,802,992,306,337,534,757,992,341,104,887,321,620,928,746,051,298,877,562,576,933,577,761,217,995,590,870,320,634,451,562,012,007,766,877,388,660,896,709,421,335,586,176,512,082,058,262,725,073,367,019,167,590,647,565,880,369,468,768,144,758,862,620,222,346,834,197,782,436,447,036,255,290,634,684,331,672,679,761,790,635,865,407,486,774,637,370,263,996,036,236,662,150,411,806,637,160,095,398,833,230,892,151,539,634,053,543,973,197,219,548,714,558,012,744,268,223,989,667,184,776,169,123,073,869,063,251,052,625,530,608,409,501,049,146,752,839,964,595,423,752,098,190,854,094,138,696,967,287,705,458,937,443,734,376,369,860,361,371,345,457,103,701,414,002,747,487,495,680,080,134,645,864,689,434,559,134,359,459,280,746,920,241,074,042,586,660,714,832,793,258,331,306,156,375,800,257,977,135,117,416,100,459,841,192,894,741,024,789,649,446,603,872,195,583,816,247,735,707,232,503,379,869,769,135,582,193,796,459,339,980,227,445,912,457,460,212,247,868,504,981,775,058,314,049,298,638,133,972,958,077,558,217,202,342,929,234,078,285,251,230,649,610,539,601,208,291,450,466,840,443,746,752,255,298,387,611,981,345,682,457,254,593,556,331,444,946,636,637,033,931,559,410,410,909,428,144,162,632,447,520,539,121,420,690,017,688,648,914,403,952,456,323,174,352,739,406,664,894,044,212,362,483,698,852,558,117,039,814,746,220,747,178,165,028,421,271,154,873,038,537,958,886,142,767,852,588,083,237,069,168,631,197,002,178,946,169,264,352,622,785,036,263,426,964,667,017,004,582,484,072,734,241,093,163,475,701,293,054,585,981,762,953,800,158,406,106,978,356,355,799,696,416,251,321,392,701,824,998,925,090,016,073,336,310,951,440,047,374,484,242,702,296,457,027,499,677,884,337,838,421,765,152,993,561,611,084,315,718,715,899,564,968,552,971,081,393,051,402,337,032,238,980,908,194,334,306,244,092,621,228,750,821,667,351,417,311,572,762,548,903,079,683,448,476,990,830,473,496,296,431,161,736,389,786,711,982,077,782,115,660,811,127,711,188,026,627,971,485,858,387,679,383,022,236,269,877,028,990,753,931,787,619,476,703,174,313,701,996,180,077,699,727,061,388,315,210,832,686,287,177,889,222,376,093,536,482,032,410,257,015,313,200,013,054,253,282,079,326,525,729,158,651,855,121,481,889,546,902,645,029,230,707,024,783,546,359,656,362,367,862,529,535,908,784,099,301,282,310,699,081,330,016,276,006,875,642,576,297,836,037,452,158,580,972,543,586,410,790,117,900,713,447,169,391,758,212,285,516,399,078,968,188,643,822,165,072,057,194,975,523,184,807,684,363,642,795,678,886,878,775,467,197,364,603,789,550,425,622,208,846,344,316,809,298,958,270,717,438,524,389,814,843,844,802,744,718,650,789,692,816,667,363,025,516,722,871,764,993,177,595,962,085,030,358,846,428,098,128,991,044,862,075,726,276,170,163,014,873,476,555,986,776,184,564,541,448,723,678,128,896,483,803,687,206,359,215,792,846,677,914,676,687,565,599,754,945,382,677,725,348,506,628,084,292,987,340,997,262,208,661,189,365,256,933,595,080,024,438,070,928,916,519,814,553,615,511,254,947,279,078,204,470,355,920,703,223,507,617,204,482,905,202,856,400,850,833,813,540,992,079,377,682,420,280,125,268,362,559,718,413,455,591,413,576,856,413,064,599,653,395,832,046,008,874,513,465,991,360,236,419,598,795,508,020,834,028,815,276,523,789,948,556,982,712,741,443,739,851,899,415,934,184,985,147,488,569,296,915,414,272,590,152,015,123,327,992,568,241,150,177,303,796,121,152,379,654,461,904,621,185,562,252,893,432,009,588,166,049,298,585,002,721,311,699,846,025,471,096,850,675,689,616,511,575,389,764,403,911,904,911,870,220,571,638,754,325,175,658,576,602,982,814,200,178,564,096,772,627,388,977,656,246,026,547,437,507,320,479,889,312,385,638,894,869,525,254,345,280,629,921,246,240,657,361,329,875,819,976,172,290,910,200,574,728,921,921,423,030,978,839,803,187,660,442,757,411,013,735,386,377,187,189,340,063,798,556,310,657,799,206,229,665,809,351,274,426,290,850,141,886,866,454,641,804,452,387,466,537,670,924,977,813,583,316,959,784,266,675,204,935,390,418,888,558,952,674,870,300,817,588,815,245,490,697,533,474,971,085,032,196,966,462,948,014,576,482,113,756,478,101,276,916,168,990,085,445,174,235,202,193,639,262,703,431,016,298,936,323,186,945,097,250,256,393,298,844,939,255,993,900,377,800,595,354,567,644,561,275,255,445,871,058,150,069,800,623,458,801,035,782,343,100,554,197,855,013,001,609,890,444,599,166,429,198,518,481,754,398,452,002,219,477,472,936,261,505,377,449,811,374,920,921,898,183,769,573,504,387,095,351,369,752,702,056,158,991,650,710,137,098,048,435,269,528,121,135,313,275,916,206,682,515,976,139,636,274,961,112,723,111,521,981,428,539,427,142,534.385597500937469952
$ 45350246542938784024847238090798330068533072506890407176516221054217226115321464383180667172848387187497493131413542575626746122842426069591041063319890779886782057281462889824981378386808648790148005323280582528777531589829509994801546202605303502586326514348876479995192647241531084697287571412629119223855416943650208625890510986531815671782839398974823050031994777284032738995539650917075270976773567724652105568798104834558352470764348621179633418126000960519135825237557816114865068896008572014868743249653734894480791970949587783342413603619057900400698818259261652036191713306060242922366879953519357241507397447448150209978120527025284990490221080557921828299655677038748135227367915970088733785621299493428296135375117638571734569695020698131348474033856255433793491901691676224319245005515734657603347924730611705371696945485098450759888209084487871374458970366233127800894163848966982284003058033274479589919868116451662639267341156147979904061631932326179321405838695732461299041272250583957272921126987309011789797095629641543526876722919896137916292966678283922285036807537730476031698471673446921994946039019005254802247111809238689639036257970842390113576398844010194951587610390907101692137513066986225231142788109112505647533199769430225462980952593912861878381814890906141034919268860019262856496436219554318260595689842650213012733677453451286080544515957622117989509027295455954054038193035204017246649625953016150389419362349408299217429961924520087393171754436909859219302848898258336146277781303666659615624612831311248423372253220103014080883375722813606704472601526109012228600957420719689895243634454370658106611305599992187371151212764996684049134203829727151170421217380893826040558114333811127559553113523387924916739468314144672289012167983841459603354919068250921938588740484433252312938759654566909272231655069033859353209087264483235574254195737736290896954372089869741507419700665219612458931167095471766133403698860353686607944823142882119449016933736961469506251823907620749246923473008693460272639022575877364625110335538773416389677017585893115031672344362973463240629945457722929009808583756437333862180185306056057587051624487478485691613751110131343806547152890316094485763088511351141575789842752374268711879745360048312131959265850342441439670986036155014472848224011622065958757512282573335843418499173276169306446072473651820568329477052794413959041163327902795131971848301515217056875908787557221504304195149940443122562118110435105542308302997972923087100208837353951091806955701998550407900495554726729184299870650514505359466956658599620038224945913325947090474345830487055092766788983968549338697190006229933610291201329372000618935139792439505204256481223733830538884427594879502514376709350052443839696465368803124063359992233748213143845629498346443082167754586727552471652759727090914775910178088335439367738344015595853938955430666259903134203990029151860265852699986202653673973407388609488104866795510786921743610099564558028638709511855819595622239885948571225888034760755723855274978643196352800435123319583455197059962800969539537095503721468483687270701438036341222419885224555847381780630202688960266482739644644992378724620277174738115440308837918565802691003034085927667329516657942509105184420557309998873768294054670369097562327265113676817844422417760987102404542550865931892334856888720355815062816749110165004433389442811352359148926366425425451364211775811060212198289708783728518425867880168711195847556896842079186614958515388602881761184965592351413871670847246665515342211963256870119025076608150444976380822025705558378123145975241755622306309189402289044174570159145904267871262953181089893182822237316302766158559518324306913607724663300903254872303668668478301649029352879478482810756706095987298333205573147078662309149531982728250025773025791859554574004427805377924891954134516938005607400232118869659951389335114242445229476410403834933545820968172787207267241099831607426259392779034184910030861927446245903407508406019000790112874402022312569898269383107076312123576834530818541533359080110656911307168460144939448019082937030454849711341989345781728292149847722228426249165258384687953741690743659010189360387333280998124541501190142032406733037459910105365538341124510264208921333130169743675111944088252747163614956912505435682466487319779435445067303892790627487481008135352370730599696717801548251355293146592845943890951252710448737196945819464705110570122002276725535568761408252008339098631198230271127157483691178923048584785619864298560070803040750521771190741593783010021869664070694605863904698677611658295704230817777848201356828193752983719014499598667070370189755488733651739755678932743210423359328543033532118721280722189687416182399293187564134188155372687580151871266405607473628309455311236150943767055196569542722898529639001130631370493358576456752912325310493706820877063659030079734357216706701208162156015131367153907237139097589413980443671221078291057777450102710975214873009564446064828061883944405271604883591833701070203022559848011481936490314840168417234278632456610747979833346354253696864303852389916760602647292759225268431075666774769466229073089442439092272217430303237660313287294882346870827676169083395316989133758447329904801521844557156153834464618122999342534418974870441817878122137706838109641235178091442114893541206922748665652084261379815075754199025281106793449980951039115841829607336381815476522653839135091045228802334732198797929714010890326875614006754690944371099596716433219458881228051487179583757288469590269606116842822503923265110080315183406432746262627628546191781109690464117121679322494102028998188467705296231693644163655985286811167222608678048703274112680954775496609902139658370564390970922530701660116708357184664059129143197492717353480332828567577140880444175421898725624926218955733086286993226361820313196286725335651996188260939938082298569638929431199081750121676461152166614232833908239458936987827392133572568480807981190910687451243540022465290821317157915947294871119042020105991563259032002919475492095389169661108672172370135821188529260644053268205971067215564433588152065505061912110146220400721804010088596997545597113359834824907695914945499557969284594851670941971009727404862071029014148265330860305652136505576726449047225919121994805486568038832388734016806523413342400836910322853656527498617740340895397035454141774791007678577874972024878419624763098247818733993325112418102075900932271647899993741215637526725143878582398294308908463191416795920819600697451609231217725926728091023576086981068558963227708394860134433641214118292239228040046701281305079576082485923391671706713374698845573306722699005684402894198829050955135611292295299922959695804717468918396429258866093541302150243866130512704555646080696539591819350834382612429971400980456391030135829993286904419103440384122280369717001501219946676181749765713448104681359192501332570960611743285729402133695343681184378313205533423517227550230791585756896997384462612529075736434812222083164758039126342463116725320857640781082151126521003781654828029255506493756514936930774964790842531621349017843338259062854240219922883920328431214753493575198444880967467072205518500901881817942920173295061453423483254516055605875386106215358611247411770258405281307876433345767833635766743222924246827339319103570352797150922337278112330710826350783821103099638358468741067398731828132945421863810491410434559881230883390505168995659016561245825750339243784984027826839712314086043549420349863982573392392868718138627226791948951325758894521845221014049483817947369555502909283827832621077757318189253597486203904396133650949866855682847038014625570102200198333094287645997711251366112116667652292612501610677570290919925315757651997023413446189218181432308452797035860708777820779919867595864139989851527393189724665969176489770909616383782234895919261442178195110962780189370202018353502597818174464877154842140613766904722650607328343163589399166033130454509540004252709982756448405292506869583295850251542292828812685430697656070096318090437519839844485526372058208138085827800298917602465702327832364598253609078765494826201867082418146651073213163121815199403211968816877381446621708242653836798021831182147921607431774673568606615644419566079107596163151804422116590330345905888820711873554050144421305794330955468756747365687413755592137819018691449896265888100735757252931044584520333707000954854239542870432944653173582984851947338521395933333647935371374321877084630795327541023465446021486832056583659578743153113218177977250683207088658918557740441858715304264733523507675895989456993660059475467777929714657994502293184478241121004468174723101154219006601359551410673918758306670909569574295156263176288513846749322034070319380870246625395442930556391948148846606932889925114354216506969459187509176042955737934837875803888088099377614293573766656337052839245306288326060166975083339426910524231969678735115706887130008632513859249529901846375735614460255356126220372543469092238073876452444019890706709897979048062469530139888688218622656549677255537089819538430431309644765058998380250494550811727102680940115473870419975502829336330470308637281939074338042041010876553081168630975479475603815189797833985162421667729708324728335424243432508147928359838712749391344130163811035191504538317540488928085242722961295607101922158723974556727672259674122133910393499219586063933249013496528502278645958394286889163392343575087659307141909295590062667468452091036695613989349264133022843234508671816708420873702312472911562035197406162639496729723371874999650621561873984590535062245727802758540016509205925982140404786661817348336995069445169497641914791757088721224740271131458822350794169614994468924504667927045500924510910738328967897534105328683.22
