120,342,549,343,867,112,142,391,679,359,631,505,657,081,480,276,199,035,297,175,379,258,789,613,503,985,430,457,245,849,565,175,164,589,122,520,580,486,828,857,936,636,154,505,602,713,359,593,220,432,247,299,047,893,582,919,158,849,184,275,017,572,238,507,590,293,946,033,768,857,284,847,890,929,710,161,236,355,935,655,299,537,097,442,363,321,142,071,810,026,671,295,203,576,419,311,550,273,695,400,531,481,309,038,873,773,170,501,750,424,077,431,748,569,420,807,096,988,505,579,061,442,700,040,686,515,365,706,164,650,481,275,589,585,683,272,093,173,556,463,966,113,121,685,634,250,696,308,984,712,468,257,241,468,887,797,558,596,825,745,396,226,505,522,457,107,517,028,902,608,202,824,165,254,700,154,997,933,486,854,599,657,557,473,576,240,218,801,283,018,274,978,245,915,870,703,556,953,241,690,972,182,826,364,236,726,889,237,858,697,977,552,272,383,164,887,514,362,683,227,023,222,814,011,578,772,453,423,653,003,921,814,365,968,986,342,067,322,588,374,468,159,486,128,678,910,713,039,427,955,264,639,272,600,125,686,218,494,886,169,036,286,082,892,345,269,563,563,298,934,543,878,291,398,648,734,020,734,533,048,028,226,597,286,055,819,476,724,551,105,538,708,055,539,734,217,764,142,264,509,748,738,947,228,933,924,813,374,690,982,359,304,187,874,887,220,836,119,159,357,688,641,771,768,367,219,078,965,933,417,709,684,978,689,383,115,238,145,068,581,504,062,638,896,561,901,355,268,151,845,244,366,992,513,195,460,751,338,337,120,242,246,026,563,263,893,063,509,519,229,549,182,012,386,915,359,165,102,864,388,697,519,254,469,556,511,196,301,603,159,929,173,903,128,291,390,593,534,071,684,032,294,231,302,375,339,028,731,579,905,544,900,058,779,886,126,120,038,625,999,529,744,846,985,279,659,234,865,060,552,550,950,194,958,173,072,505,494,173,945,923,523,054,818,082,732,957,746,912,328,914,877,301,740,960,018,980,119,069,867,981,858,492,188,112,258,791,463,446,037,818,509,532,635,288,931,637,234,941,996,499,249,615,570,205,917,565,878,356,763,382,154,208,644,697,644,198,272,996,316,340,364,680,679,567,267,113,143,046,313,545,962,140,310,087,864,048,087,359,380,688,943,525,100,335,037,120,264,583,214,857,156,421,134,636,198,045,866,036,864,195,757,339,479,511,586,616,847,860,392,994,902,033,794,102,613,850,912,109,809,193,738,177,916,043,929,821,325,960,059,705,027,209,880,102,790,427,993,150,446,353,416,917,436,664,966,901,586,432,124,235,652,317,466,102,253,763,465,078,909,355,064,082,829,225,147,330,579,717,229,839,827,392,694,288,609,728,908,663,365,406,383,403,737,926,565,010,001,877,971,644,171,098,314,545,063,318,009,848,813,969,289,866,517,747,847,402,786,794,061,515,033,520,943,391,000,114,264,011,442,328,667,216,825,237,760,779,104,675,604,678,582,162,203,873,194,633,008,771,569,094,976,314,368,264,491,423,366,822,853,140,226,994,308,514,544,215,323,330,381,207,172,415,892,089,672,850,928,985,335,562,187,958,080,255,453,990,089,678,628,590,287,459,363,770,005,935,311,728,586,837,024,999,782,850,433,597,657,995,240,198,737,713,688,323,954,427,249,672,096,894,959,666,063,509,107,750,779,905,609,852,329,648,452,331,992,790,227,731,996,993,245,060,905,071,071,169,187,989,094,870,628,137,762,304,715,723,992,935,455,059,799,076,629,208,969,579,689,383,752,683,053,248,588,678,242,619,201,878,079,936,432,735,132,444,552,926,399,301,601,874,400,885,519,691,039,949,813,629,533,139,690,253,330,478,568,025,252,743,523,807,593,074,686,092,952,968,686,732,571,732,380,124,794,360,581,433,749,247,031,590,133,929,189,455,971,552,129,205,661,749,262,742,107,658,387,615,835,178,384,013,007,557,857,644,432,550,253,678,312,080,052,828,463,620,604,752,018,663,007,142,797,670,458,184,804,654,159,120,815,266,951,947,782,371,920,055,196,358,898,187,981,602,728,303,829,522,054,714,231,321,133,391,382,075,386,922,140,237,236,223,380,689,497,790,841,277,677,586,377,932,130,475,397,231,166,701,022,695,583,331,034,069,810,685,532,660,856,129,220,038,252,735,167,177,692,981,144,973,749,858,797,390,833,125,566,082,835,023,161,635,352,683,875,410,980,222,725,065,648,036,336,520,780,077,682,664,912,081,802,231,261,792,415,652,603,030,380,303,304,156,496,580,645,532,993,849,289,996,889,742,455,717,172,691,365,975,761,291,822,535,603,118,970,265,156,481,238,150,030,224,787,110,319,592,637,741,064,980,809,615,930,541,098,696,455,648,811,872,225,363,944,118,092,809,217,804,125,491,123,830,530,824,241,208,594,658,136,939,091,953,932,667,876,140,094,429,313,296,853,834,082,749,613,731,557,418,016,424,979,446,837,397,070,661,074,058,753,589,603,614,295,053,666,990,588,167,714,793,175,993,820,146,515,579,415,781,022,729,340,061,758,287,643,470,471,994,970,744,261,835,012,517,464,164,665,261,960,896,436,984,747,369,883,974,735,386,701,205,860,908,384,022,554,477,008,644,182,313,209,173,735,849,306,331,163,938,109,665,912,579,705,526,450,768,118,756,916,269,494,428,870,881,081,245,506,469,800,387,027,192,484,006,740,678,687,043,691,840,455,005,802,621,885,898,347,599,799,094,199,528,992,543,998,197,229,069,428,784,102,298,665,270,547,892,172,333,859,390,473,118,789,705,357,659,286,175,879,541,444,324,834,701,759,370,577,389,037,884,980,712,745,527,462,360,211,414,941,183,796,207,748,945,996,548,152,804,929,818,139,701,765,136,249,279,442,089,212,179,529,709,682,993,246,751,878,232,784,746,024,253,417,765,508,758,201,459,630,623,230,622,419,640,162,833,579,164,361,929,859,894,121,498,772,006,688,107,609,114,523,883,548,551,060,281,860,316,374,958,608,361,065,404,860,399,541,072,555,143,104,869,017,456,137,028,280,043,109,054,754,552,717,943,417,257,280,957,429,001,751,986,300,525,820,266,565,986,176,134,367,137,931,615,234,338,981,817,082,825,302,724,127,628,400,920,101,706,544,720,918,613,918,758,276,672,673,431,736,760,334,869,477,046,455,407,554,386,968,069,358,155,148,537,528,765,136,208,050,878,490,675,881,355,301,796,160,801,955,566,992,832,473,034,609,468,316,484,365,263,685,082,295,839,648,162,405,815,552,283,731,893,376,333,835,562,520,946,688,837,193,022,319,780,832,140,437,008,769,230,232,652,379,043,659,203,431,040,267,647,115,100,313,130,687,999,121,983,472,267,223,996,006,449,423,735,441,844,103,888,668,080,521,520,778,065,282,453,059,206,500,522,138,226,985,137,350,358,249,283,553,624,477,357,366,069,917,472,094,302,848,867,733,521,685,751,557,877,860,323,658,729,656,442,479,770,664,841,687,233,447,878,077,677,192,233,408,502,656,812,980,085,629,911,792,329,190,553,526,622,280,287,822,931,248,109,274,028,807,102,057,809,028,151,701,728,959,243,212,565,566,898,120,815,400,773,719,339,747,431,864,339,662,778,991,606,459,699,750,608,410,081,658,718,031,438,259,045,297,154,716,518,565,483,365,747,718,952,687,646,990,037,106,879,135,369,194,217,157,049,379,776,724,432,354,791,116,804,300,352,433,827,664,227,772,258,544,222,785,204,065,561,578,095,863,020,339,056,790,904,443,045,576,643,883,869,188,803,200,623,939,735,638,284,881,092,634,892,497,469,704,423,989,881,269,831,573,301,432,147,358,059,007,882,342,114,195,755,437,602,910,742,411,501,622,918,890,150,573,994,379,282,557,629,632,926,351,833,899,503,365,114,597,099,133,788,395,895,166,004,958,655,249,930,948,607,642,761,615,391,495,363,619,584,839,512,395,513,823,787,103,676,601,098,700,306,948,376,770,963,721,975,197,443,620,279,187,227,998,078,704,192,835,005,053,374,908,605,602,391,452,267,253,095,795,145,702,145,701,633,583,598,702,570,676,753,617,038,696,369,877,012,419,493,701,859,550,038,886,520,871,114,261,403,293,412,450,829,802,296,545,539,329,191,582,537,387,214,086,463,640,819,846,129,480,588,937,700,069,647,751,175,974,493,790,413,481,167,737,406,001,813,610,747,477,826,472,278,078,628,536,314,841,288,136,095,835,949,918,060,671,956,235,606,413,568,909,661,786,064,338,211,837,256,579,460,555,710,204,931,564,913,274,765,938,748,707,110,244,446,862,121,763,270,336,850,843,538,501,582,703,525,060,706,169,567,302,916,292,808,023,028,407,584,226,284,522,755,790,713,856,965,959,154,578,061,162,525,058,822,584,710,616,942,908,504,848,338,428,488,465,004,521,561,789,403,523,117,803,772,545,317,175,145,374,076,744,654,139,798,884,394,709,079,806,780,958,762,927,051,505,130,207,124,544,449,312,118,905,523,810,322,810,730,116,061,042,374,320,183,468,603,315,495,940,630,560,873,148,611,195,346,315,502,361,007,462,963,310,612,206,723,014,304,291,229,170,492,005,621,958,194,625,898,126,022,747,401,892,931,526,876,372,084,991,334,882,740,749,004,805,468,759,047,719,934,077,104,347,446,480,587,514,779,103,218,649,132,279,809,556,928,744,938,359,437,782,564,529,667,424,209,756,212,609,441,059,362,697,864,133,754,312,641,559,409,271,436,666,997,497,289,464,388,686,865,866,262,426,069,272,673,682,603,352,914,939,419,964,594,832,794,425,851,766,729,619,876,481,373,071,126,398,396,019,648,589,678,542,894,292,934,135,673,926,405,507,370,536,362,525,100,682,921,861,465,463,713,724,629,340,523,627,423,533,252,020,662,129,027,986,869,935,709,886,424,027,877,597,487,094,443,206,751,870,348,010,839,003,256,462,595,463,329,271,386,211,774,790,920,572,458,947,965,153,197,633,632,040,019,679,351,977,486,002,939,111,333,006,180,844,763,919,310,006,073,435,405,249,819,569,732,860,603,139,551,439,219,582,493,844,454,359,556,194,361,979,262,524,515,206,181,401,304,161,640,529,333,785,325,876,034,208,394,491,084,839,778,036,586,167,850,369,020,992,228,993,635,600,956,840,422,779,619,353,014,228,747,514,272,278,505,892,367,772,978,203,826,321,602,578,134,330,879,189,004,938,600,216,822,504,447,870,735,857,384,112,480,549,114,799,161,582,226,794,876,164,071,034,478,834,270,739,885,878,724,320,122,556,403,072,631,281,887,761,033,473,021,488,194,855,071,097,555,018,914,748,843,291,544,304,232,422,870,500,749,079,840,647,764,110,963,536,170,744,796,981,353,481,390,819,795,514,354,431,309,256,055,887,868,375,597,371,658,670,044,842,502,324,386,344,368,864,686,494,903,729,809,388,399,547,832,037,086,861,518,085,489,552,375,853,926,314,966,812,228,220,148,778,363,460,326,901,151,278,239,358,355,728,931,823,571,183,375,532,913,191,675,865,243,316,076,716,062,710,587,700,502,311,079,037,429,510,921,971,848,153,138,381,083,362,316,907,430,245,138,551,938,147,733,384,541,790,384,040,006,378,300,725,096,652,060,247,495,739,516,125,450,909,250,123,187,993,876,354,875,939,851,116,605,925,594,417,449,815,012,327,445,007,046,122,856,919,348,294,320,468,247,113,480,494,927,200,973,694,802,574,506,440,857,376,420,988,535,028,085,175,009,263,096,866,166,534,560,338,128,977,316,796,884,612,007,359,784,277,410,902,657,253,273,578,883,243,822,804,968,835,037,593,802,104,246,278,533,870,996,232,897,985,943,640,947,055,624,998,687,983,691,650,804,099,166,958,042,690,314,302,829,549,159,185,705,911,291,652,656,374,504,375,865,727,495,388,325,783,616,450,047,461,343,884,727,526,568,742,963,532,916,243,114,438,815,653,683,228,937,116,043,546,128,218,470,140,769,337,792,647,554,687,606,898,826,998,010,272,336,272,929,985,326,568,823,025,796,349,569,959,078,659,014,004,110,833,750,800,531,075,666,842,541,406,717,125,301,550,851,622,953,832,932,330,707,885,738,571,980,353,153,165,353,648,729,497,908,877,754,726,693,805,156,320,179,373,357,481,042,531,215,314,203,884,349,683,877,148,335,019,788,573,783,927,503,509,470,566,095,099,191,651,890,318,963,883,813,356,890,160,812,558,270,357,745,026,739,475,412,440,444,044,431,864,904,616,576,386,131,558,981,289,440,465,505,866,521,689,229,621,852,372,541,133,393,926,170,203,988,841,718,284,664,949,627,944,185,653,248,352,366,253,674,041,688,872,696,207,255,083,751,901,686,195,915,995,353,230,570,249,952,998,753,025,166,852,644,360,576,857,891,998,199,086,074,271,123,698,133,473,892,710,291,529,435,622,476,635,578,026,339,948,526,631,861,189,837,379,247,979,393,932,641,171,112,112,771,109,074,961,636,870,157,171,220,454,878,249,961,577,168,287,798,146,741,698,191,899,719,409,767,227,171,997,019,410,911,650,448,152,395,561,568,786,720,003,292,742,971,806,351,146,781,764,517,253,055,873,013,108,726,467,742,856,405,733,115,902,543,560,697,977,554,155,767,536,242,681,143,085,180,696,097,753,670,501,748,599,528,991,130,991,776,297,630,860,283,172,293,003,626,593,774,758,470,278,286,519,453,701,184,468,028,430,015,690,455,675,069,862,543,636,318,642,931,223,508,457,146,337,038,970,537,788,998,894,337,439,817,592,169,080,845,970,642,053,371,846,105,337,703,389,260,915,922,117,032,079,042,251,887,549,884,993,377,468,728,208,254,416,653,312,159,978,419,346,598,716,357,464,576,620,908,399,618,478,811,311,007,060,944,749,520,057,823,231,485,465,296,170,064,976,917,973,209,741,996,626,138,423,752,118,043,977,607,486,452,904,047,011,442,720,069,090,359,067,309,377,997,962,934,240,299,384,315,689,246,601,987,135,838,440,656,194,330,020,285,341,276,315,986,838,090,469,409,824,499,598,490,292,078,265,036,145,937,348,838,510,164,620,952,287,575,081,276,638,232,319,173,344,065,571,453,847,163,293,785,994,228,841,727,789,588,813,535,115,712,682,031,731,339,383,933,172,104,953,763,588,879,384,302,490,327,271,358,353,582,557,665,520,800,775,617,438,457,950,670,409,602,662,070,753,551,615,420,456,340,060,605,379,131,009,114,212,072,076,209,874,910,939,669,646,789,354,919,939,534,404,995,902.09076373638610944
$ 410822794944470575755591300871286921314294512867451227720641070446654789960843718541814282708489751157320467833815280276691627745334887398251044209025707683023437161715240309600069514871616060410212849288129573546503870329354926669977484809933589487100051395875262550570335394726463617201379571954969967779999530399386105338539470200137741450502939231300478218778344179690236969561069390644737596454738095079483790255928169996583691476412579259634823701864571654561285350914434210347287557686486174369565102063145786192807225528357960237141262574287414285459177176975778980833338996369834581393047663780339495896023604965422117533831191228050594414098920344834288233439560907411778148909787997632124210780982957598616836847664638072705620069751388742139857145547227492462840430623517151606142289901022676256598569384134533341818357071895987646184713649651428878455900592964128417187030543960640286897051170495395366721025298398162329358783614857859950831044376848987498399821124309073891918029298392326525083081025464518714510209391778861078158739522792031859578552439177333498293525626683675238250441248899694171257111483532358574524568020018002634586033789929172240062026935696871958498399024980021426616751935543655366698986557907096023578703010031846106130278128183298442696332357334680128309566511323420008755492750343633987279479081227646413542256307567143051041614247537472278503421684250455814451422551362084382156740773180221019549882507394424313776055093798278129686220683548898705900729167312788029900933031787467722856833977545140744252081189011825319370693968846226359520403264410804012503538674561804293425959342694345028437546081550066461411643902327481689360356609487573059781760566343357337468671588622825167024588414540001480125331787258082827687651694021714923893459182993186356902703013299239477272194923757118039027512376836297737178550907901966644718389162062844877118475642621265914826458536132267111714739120236179412602712248285750688515828507130336598718751704098322234242226674982497745660717835251896536612736798135714176658711263669493606713874577245889949170453954074238709024913216539476823000870977045789439609563645020344276647954923426302742743436087312144044835369653205014389013445892376179905700855277704068366194673584796194335215797895782616050204716239427029968254481414064577899009719182659107040935092934611081007901191619630593745451579496400548956249031710127631143603617969452426434402199239050487871169275464768785627409132339868108502081460766662483050433000828869489182408433994655633276927153152906335990773940202784513430645902103776247146149293973398483686742013217254205961226812814187158339702120070484091494198548010295438180007393278805333692769023877866374275206885438505982386123358092965142058443712748837709917617495210161356727908422243368724510856477645395136394204770862601255410898768267548122719054191744811260780692554755053612362711399873465675021918727746089402354439001472497126105715116986844419587175341754230334495371431266763528841191501071868602976999754739513537385464999737006291122085334370450008281839904948828806033190034071754554621955133869463748768855542825361800270928855453463991436447948340564758991069963319882315656011155888831624028107409642645959693357470751063391106770466696264428005741499464709469689524467524912951467578341498906891301565390568219712166538850017594854003331613221491006058424349207688069089105167616689819522141873126860065049334604138560770165082149948358075321460521897783833124823016526068197651503758997518274636532165372182113551768199340588749639188664586802380205913444279391840652690734676380565713609009057854630578844601905373406182376599986041779672828888639033850718676607077466383559635454696302350923047071923255733054461717610009550704845076798009935292901457458877950937081481460422349285887347807974662607396762859996267666211140797964368663228895939251638393538813906652897303224387559022825336576707144365447870211416915392506166342089243255093311856737878656336051075183322332209775500462147827806427236562863248414569972684168506229572252872707499911453057460713466079771182471873802667209977950357955452570724379860885779117998790022301950650409068974422883979363390797485011994970310196529281449952980001694789418159104700648870400711511019779355060483134568781532654246494223529253538887360826170031342788901476172667762440975337790021514231712452144698424595563655555762069085217459547654187968055962848479047739238816708711932483287446356459673972757797328379897204826959519321181990971014897227593389834860467273030431552719182026027971615449421130627786943677144275194520163378982854485767506593411686802319862596311757824914882719839805080924878823446530259259460509547862967708554420168478368682611834422558515378074393658765183398278990072976909892134739795902547856176498137879529203763190261398093222126427031580993749583700075039842010764276457552401756096575458919242263131977070155091203548511270893731824583666399760098706965599913349174360184934027594674363052448265959084960936012594203088193459477294954867321371497153461407668754046941739920723817805503719339207870648250896791379468711079563739368905070861676088923386347072396215896136206538121530251632823515413302491489303495499501922230129482682294667356036476128443140555092139979842106881061330229359978092680834241188801197967348735659218325857535611929421179617714617786541403853393392777076937837820101427677680680805898289825067181608544846589432339344604889583943596924060114424255203552335689734672565642572834876495790418921955227602117842371525581101749234916360376448690779015548848839174354311615155369672729182129699407043239368076965134142236098818560188238449924000184414565096904147822723484731767628513485823790378797983151693711047028328472679311697245400918331857238106460064498044050807075140694810640040097855317424234502294198421957360651485209206893552386865106928769938205295558186280079227541860863305377469874482692314973738511386633079152680642225503534959948899647642747979146093366851410798002036059930247911839757034694503126791125163860280565597721432730932553358311781699625296232083626988729599239863552742255674132778883604257812577274464444458479682751874136048436369529055270155363467786811915676082865461706291883610755400139266547761037728693218931456625341062914850433836493829178915247292983544724976209361380992036218625392842368270466945817251240981579292437789485460726603116888120999321940084057341604400196398355794612582393518458273928413668906849799634883852516533680430137681013938672081333880046647776373893739415474479069480698843208648351780966517278395714063622905692235356359076468696926420691509214175501233293274104848124710004953476925940109779818465298124929254340414558722634603624232987395600787840336765473661264159596877704732925158597044131535173556492251902980130646897950786131926952371713930863133927399489278083793168562628338782544691650802575010752894355745834227802953188053793134024506286590221988680891553913511546051572492389307778168310750230055542854085716869783883269389885765520103160129930916820920711337677626999942821614093330163675728803789419513439249917763612417971435267367208257025750620402995466968997061511665183357689564705112837525298510533812716867515172624377372042985514188487089850879482810816272335474561265137062090722963507591273241443494711923558800125489416943070855193952062668157801378772520375393074324917753967716461972904499307689491896421799244296531327164957026705286874189436665601475760727938937980131168850247134667925073512822313116560788561177460286091127905777356542749932104926242435266999766217125444892117432002633258294949632771267942270222757477730660447415901262910311393097650257685754319373450225396729995794945523369902957341096530656500162488620090890345398972764206066334700718165590855848529011654221924105994220197036724608715252520246789881928751369627565805211076300625739220281022592938972023443754167394209031155764503450950886744962217997327074446008258615306305998208358672956744932973932558293435843420354821612657308820276286368164792462362867330609195124318520891296992223258871822556232969107785701818861294867000586177794868106670699835181117027181334591633151036628235442352108679079223569986039560370147468454558751793764971408360661781761321250005261523653974466824711960099489337468463112291026732235093150857935433721853281321374975465394836914440421452633143874884367547645821333591485983084638051020203192824407560938449921530409922856885477546749753000726257299789858698854031099553250518566590624892217441003723590320252292768359070901205876535066727027593963654006204451266473978244782909425078309684135821919154031931982137017518067106316745072615743396876739663079926161809328923030487839095282878153421945445564889246932416082945899972383392886979814269608354218849610579121383908416112255005498927209339192331552422554162984442762956116476536577796704117252234090165766382215445532937797535124676331007033539405303211532203504055170687710623604279567326960218220087850901360249738886524846845043919832817963995604982360704650413621043264525529359221118325573820720500826555592943447381224572211762085080590598670361243966460564182044680115268948175982120581756142929430694090118622507309306068655065362220469780395756028374109918075238727913958737839723994280037916564112054670495728478779904302050030455679915473455071884734719588540839318787136548900583802719389797357187226109382993994635548526774149458650981159207999877417589572470092390778304530175321946197384168226846071351963511098569523145121815103320225457824775055097118649299980054953977144091026517607745560675216860885378835266144747839645814821034606191654591438509588983264305352642269571943334471825314641673301185339318943774703548330417491831852278707.62
