98,446,196,921,375,531,345,594,933,392,265,959,590,016,042,796,965,964,785,583,229,483,039,994,064,200,429,303,029,621,726,884,481,495,109,679,844,525,984,575,037,428,369,717,892,938,942,979,213,755,820,933,042,561,063,742,272,432,782,448,271,393,923,201,507,140,578,256,356,956,066,296,657,732,918,682,263,500,419,861,875,053,509,230,561,525,165,947,334,657,877,346,398,986,395,284,300,174,213,125,264,965,205,459,064,327,292,697,024,445,545,840,103,701,150,165,654,544,160,887,704,938,075,821,577,048,255,930,282,401,961,281,103,809,827,715,627,165,848,229,056,661,846,820,977,507,994,634,952,667,657,859,671,774,129,957,238,514,654,417,152,608,116,348,887,637,308,648,312,925,785,241,948,399,086,760,975,957,926,686,963,870,279,338,561,275,901,845,021,620,032,132,174,667,941,737,726,989,095,513,222,082,741,417,230,129,143,228,134,813,926,483,395,769,126,877,697,586,909,609,839,497,942,265,414,495,404,857,125,416,671,026,980,769,779,050,052,524,378,658,151,576,465,568,133,303,331,856,630,894,673,968,871,756,109,830,525,415,430,743,191,886,064,417,496,057,461,133,988,520,314,923,693,834,850,552,989,419,002,442,253,220,958,398,143,053,637,143,323,309,790,545,953,168,641,684,633,301,933,928,698,965,013,058,075,785,799,817,981,571,671,494,148,139,086,080,272,947,551,003,250,026,349,470,318,386,541,742,993,262,473,535,320,083,596,752,359,389,603,209,263,708,875,993,406,950,648,139,411,879,824,002,110,251,996,835,211,063,346,242,391,136,046,498,476,952,261,955,562,550,671,118,426,145,567,975,083,095,219,932,705,099,774,601,861,915,134,227,293,253,491,543,365,723,744,556,789,055,632,993,779,057,246,858,071,221,241,116,302,217,266,556,021,065,019,399,002,276,936,611,476,515,494,569,394,603,578,567,467,506,297,139,523,548,382,491,807,101,016,410,313,690,276,856,108,644,320,908,165,646,055,402,949,181,022,564,499,740,038,459,631,578,768,642,779,141,287,634,306,355,173,399,893,064,173,996,505,479,118,615,753,692,648,078,798,360,098,295,458,350,933,534,286,206,882,721,197,890,791,182,190,696,843,390,771,992,264,333,735,207,380,046,539,925,854,869,376,416,099,081,149,630,058,386,357,462,899,981,348,292,144,908,995,504,949,718,274,749,788,506,393,457,204,056,424,425,471,608,655,078,111,464,151,492,761,322,704,945,219,128,759,927,647,732,207,568,485,889,756,407,992,387,548,300,554,966,435,160,358,324,490,603,343,937,062,693,997,220,027,141,575,706,273,629,627,167,352,289,287,963,475,756,735,416,788,158,497,774,667,137,856,931,124,475,836,712,848,134,051,450,660,877,733,867,373,350,450,571,710,779,033,628,119,852,594,397,522,932,791,383,570,060,684,423,379,925,683,399,390,270,319,134,636,815,666,791,608,516,307,034,711,164,784,878,703,651,571,088,244,556,357,909,156,206,345,869,781,758,802,272,916,349,631,145,437,897,604,160,540,940,352,666,028,385,005,368,537,617,334,777,270,677,923,391,353,499,959,256,265,236,956,161,288,144,395,515,446,037,722,114,647,121,578,580,364,850,525,694,990,621,441,111,613,479,394,109,299,392,478,356,104,478,163,027,742,081,552,126,650,972,508,468,840,758,411,432,852,633,689,676,823,496,700,228,367,942,444,232,347,549,285,358,595,755,784,934,179,898,371,536,186,951,767,148,046,751,493,802,256,899,586,396,391,432,642,420,648,736,540,425,962,749,958,459,638,107,889,000,140,939,889,672,609,748,353,327,105,784,169,821,405,973,526,081,796,827,966,646,928,466,834,848,443,126,074,521,162,024,784,595,880,129,421,023,384,224,659,328,605,796,370,155,922,005,674,564,125,084,945,591,850,389,379,455,825,874,800,907,506,217,617,636,576,053,002,764,396,214,813,798,559,185,701,120,252,474,183,527,158,668,477,020,568,908,577,283,321,525,389,219,250,646,961,903,283,107,277,910,285,820,918,863,091,856,646,757,878,267,649,011,243,591,071,109,661,336,778,043,135,332,891,763,395,608,608,857,358,578,806,214,482,581,352,788,652,690,688,585,368,602,341,549,628,108,529,182,099,484,850,341,085,597,428,981,346,311,369,785,157,835,436,385,930,553,561,677,288,218,940,913,715,389,849,820,340,310,545,562,295,416,799,455,633,206,318,083,854,660,774,016,101,912,323,180,369,520,582,501,627,137,511,144,774,173,369,565,167,086,869,187,532,528,531,404,611,139,668,777,233,901,198,634,159,857,008,030,504,018,334,489,310,825,418,743,603,642,961,179,246,132,004,653,625,241,282,946,904,316,239,176,596,275,350,360,881,573,841,750,696,642,007,310,142,721,997,136,827,260,224,760,419,538,381,495,409,116,107,432,308,136,531,001,925,361,042,150,837,570,668,175,525,395,998,409,530,879,579,453,914,913,600,132,847,530,583,559,395,553,074,050,787,677,335,132,718,643,145,180,760,180,664,665,365,893,520,674,814,190,910,121,970,500,065,773,070,648,965,508,483,582,382,331,325,523,733,526,821,805,365,941,117,380,052,712,512,502,755,372,091,978,193,109,181,215,938,482,089,845,861,164,563,886,963,867,350,927,384,853,866,730,405,178,479,875,669,415,308,557,694,806,399,896,067,645,082,718,128,160,527,938,672,179,399,885,738,744,754,206,744,360,173,201,083,654,020,909,750,231,697,639,796,484,030,051,332,357,077,765,725,202,026,223,476,275,462,640,839,053,418,573,266,749,065,189,408,568,655,864,968,212,466,848,430,523,910,484,110,709,578,162,196,417,997,038,739,469,565,768,275,161,224,026,265,017,722,860,464,278,353,732,145,077,218,158,070,025,251,805,322,932,023,068,203,412,388,301,680,114,477,172,017,078,252,191,687,266,473,203,800,827,153,743,959,911,375,186,863,815,077,990,105,946,019,899,436,290,111,363,310,313,684,588,288,207,182,815,899,037,421,373,835,919,559,313,422,378,132,817,276,788,801,427,017,742,104,287,357,463,086,958,578,093,244,838,676,236,832,981,628,129,115,938,712,930,646,799,556,610,604,983,450,018,491,606,521,811,452,842,288,286,830,671,117,035,500,644,258,424,365,548,364,753,142,056,118,678,521,822,400,310,406,555,165,320,079,035,908,091,813,151,787,651,201,627,164,712,586,776,971,786,731,898,920,165,470,364,329,979,427,074,531,021,347,373,065,335,232,590,888,784,132,161,128,109,911,374,396,771,562,905,308,501,016,104,004,049,203,070,850,087,135,289,874,806,194,275,854,279,585,036,486,829,145,504,477,109,694,376,204,245,385,544,352,999,842,169,784,208,086,584,624,191,889,196,765,293,615,315,044,303,302,702,666,830,654,646,652,110,495,092,046,203,349,347,644,632,771,117,403,106,181,094,534,966,656,844,747,653,118,853,577,087,196,639,535,401,437,852,398,832,477,122,020,404,905,040,968,520,661,152,388,962,907,463,626,232,649,173,358,783,123,336,492,479,638,304,916,017,716,300,828,234,275,389,606,436,810,770,785,809,463,361,879,474,755,122,069,535,981,613,300,740,746,795,095,091,585,932,666,843,633,898,995,632,994,924,362,255,928,330,055,719,330,076,802,131,408,105,950,042,996,583,495,408,283,652,512,500,679,763,941,650,318,261,289,311,581,685,318,582,632,782,267,982,756,298,440,066,474,959,011,144,120,597,783,091,056,945,745,447,189,820,404,709,090,736,480,215,064,175,540,495,143,295,826,612,687,665,038,348,332,481,200,689,413,523,584,396,980,319,468,194,429,699,301,341,883,268,594,389,595,004,849,940,509,125,781,479,247,741,010,420,427,207,696,407,966,594,480,757,184,312,592,866,612,763,745,090,586,190,509,297,464,409,467,648,173,279,303,777,876,094,333,622,868,600,634,160,154,765,631,512,476,888,935,545,583,975,342,514,258,881,864,838,868,996,783,085,136,415,407,063,419,647,012,793,203,934,411,954,552,405,412,080,340,328,086,230,145,924,261,442,289,044,966,919,839,552,972,082,357,671,576,239,433,847,926,753,293,246,158,265,645,613,010,134,537,771,327,090,297,961,692,556,273,053,607,695,812,205,400,408,024,765,289,896,162,150,035,834,862,461,663,871,441,583,147,198,032,803,272,868,688,003,722,256,302,905,450,591,313,989,789,370,484,607,015,821,852,185,811,351,760,453,886,944,978,506,542,914,362,886,347,061,731,737,727,193,359,272,546,161,249,089,409,902,871,677,348,430,187,874,524,071,163,699,629,903,744,443,269,890,948,301,760,373,071,740,525,458,872,876,868,167,495,120,344,384,546,405,902,869,314,189,863,260,458,215,945,129,887,835,871,373,090,474,923,888,175,550,934,438,875,788,581,882,241,373,471,760,852,915,766,306,044,495,428,879,193,027,983,108,527,334,317,057,789,551,885,084,548,919,515,518,023,036,434,564,242,199,429,067,692,331,917,692,699,167,831,531,975,673,007,113,555,284,022,995,112,770,327,231,774,944,754,707,462,548,978,673,902,919,563,795,641,052,356,227,089,699,137,180,422,674,137,593,068,317,021,934,772,131,395,822,222,961,461,251,220,767,484,538,183,059,715,145,768,093,195,465,584,305,918,659,386,680,679,076,067,546,747,633,949,303,629,126,339,669,996,110,052,198,331,130,439,503,006,180,512,566,454,286,781,460,886,675,262,542,889,465,453,387,069,986,959,453,373,306,554,024,463,274,922,324,751,808,440,443,242,250,219,235,237,685,401,948,617,913,512,193,955,076,772,933,542,630,653,638,475,797,988,504,433,270,278,267,550,115,504,174,580,990,209,732,267,488,161,596,952,569,799,417,139,786,633,293,408,215,414,081,197,452,470,423,644,417,308,863,209,702,206,471,934,256,985,295,592,529,054,813,581,405,505,426,180,538,910,525,750,601,738,967,542,348,543,568,627,163,174,524,962,917,887,730,960,529,478,222,909,265,882,113,526,659,748,528,848,542,665,741,398,007,392,919,381,844,474,636,108,841,912,849,648,455,302,084,634,095,319,665,436,435,335,546,448,733,262,711,690,666,799,575,380,678,054,000,402,304,363,374,641,154,576,240,479,563,274,132,446,171,649,305,254,674,076,415,655,535,858,365,208,975,632,888,380,293,704,903,246,322,831,215,976,037,212,138,771,054,970,198,638,614,874,366,582,562,322,922,805,007,319,433,129,088,261,977,087,902,593,692,060,607,503,611,209,406,058,955,477,481,188,558,798,601,531,987,976,068,932,729,774,569,562,689,831,207,967,004,637,091,564,292,349,902,521,637,501,806,151,574,083,681,346,023,341,730,511,206,020,191,516,557,545,856,881,510,889,307,204,928,648,045,172,970,255,402,916,373,464,448,744,104,448,381,159,127,974,734,745,722,905,444,799,628,018,037,731,658,205,927,039,144,563,646,614,084,895,673,965,198,893,167,555,928,668,378,768,151,395,937,511,865,611,117,840,421,680,779,772,873,279,131,433,965,114,077,144,186,682,697,774,218,725,685,353,961,143,019,005,037,519,829,248,488,639,669,980,490,961,157,095,590,800,590,918,955,051,262,342,871,241,637,291,076,256,573,442,515,475,431,146,271,476,327,243,323,506,986,117,483,483,093,745,111,207,868,785,570,185,146,324,614,814,734,209,389,337,460,783,268,187,122,760,367,846,700,795,446,568,739,724,373,060,385,293,146,694,474,514,328,637,578,741,048,236,744,500,132,331,036,341,080,770,532,431,464,458,181,598,029,980,517,424,321,939,380,950,185,022,582,418,822,838,304,716,393,805,743,641,078,094,833,050,043,976,186,295,144,830,824,317,472,323,817,910,015,871,403,040,374,825,670,456,210,939,059,852,286,833,490,656,278,487,948,245,854,488,107,071,217,645,196,451,546,487,748,765,393,989,633,187,570,571,129,596,827,911,544,359,761,656,937,136,881,200,028,589,386,155,999,722,221,569,202,857,701,901,905,882,346,007,605,669,313,318,167,375,953,204,796,367,514,766,459,173,206,803,272,712,357,525,472,366,016,661,152,301,454,878,529,903,648,244,689,162,625,691,463,285,521,418,361,344,952,294,297,500,962,881,803,130,667,207,495,276,754,144,156,719,764,433,710,680,666,485,209,003,981,692,704,704,825,899,467,420,385,258,144,045,008,147,656,027,545,796,365,905,815,253,429,469,187,921,943,738,599,652,630,201,000,772,704,607,977,096,037,293,683,547,293,971,950,902,779,872,814,140,326,877,663,647,125,077,001,424,392,805,932,318,724,625,230,676,599,731,919,476,994,120,531,917,657,697,455,237,973,585,395,990,160,432,813,827,553,619,212,961,698,557,060,885,795,190,953,260,842,092,052,867,710,531,785,122,626,006,415,118,111,275,286,977,253,696,687,141,162,006,352,330,116,872,434,457,811,610,806,195,126,968,053,251,080,333,062,598,135,165,602,246,276,317,275,385,259,494,486,470,667,910,696,595,623,537,147,430,446,564,359,384,218,058,926,822,365,963,021,185,943,587,555,456,057,907,812,470,332,146,317,778,204,627,390,611,435,714,812,913,313,528,199,064,100,559,499,365,480,577,709,589,435,272,171,798,584,762,956,978,422,399,629,874,559,057,563,959,802,267,292,365,134,780,209,646,069,415,716,632,885,058,093,189,479,241,490,029,775,295,601,820,416,478,140,799,748,807,705,398,179,137,723,612,025,758,911,727,914,092,714,633,559,359,490,516,414,303,054,025,877,117,768,017,955,120,649,282,115,725,253,675,832,205,591,724,859,956,657,093,715,312,914,537,777,008,376,950,690,470,093,326,905,586,214,627,012,299,072,797,794,491,019,941,350,451,642,055,646,246,961,483,047,870,471,820,811,695,871,846,918,067,417,858,577,203,756,847,575,885,528,211,160,852,950,546,706,880,822,807,573,027,041,649,024,335,345,216,110,700,941,777,468,648,119,444,301,669,140,296,743,449,977,837,508,095,119,749,858,859,185,375,228,413,052,194,311,034,564,830,539,507,686,244,979,340,421,700,548,143,270,808,422,783,961,478,728,141,474,806,156,233,043,484,254,353,198,930,928,972,176,992,835,457,281,219,919,263,712,016,097,632,511,523,236,747,059,188,985,449,461,887,035,078,414,453,308,366,292,294,790,725,217,359,308,175,342,773,737,349,044,531,781,504,063,422,640,763,301,273,759,870,128,995,479,180,169,686,585,732,674,814,925,710,955,456,344,503,882,602,188,928,058,707,362,371,593,551,349,975,809,834,480,206.44463378549440512
$ 389469084018538862905566873193113109892837890612202664073215914311351823304934622054503252827749001090352767059274260046993348898332371202852163485467654925389546420783428798534082906589703801339263850200019080259081628107334588301703872138443829885326740105128205228006477468954179172620252766088496152854201010358797951576040637589953227427050042397052191976434717090915640249283940222317267626536286285113514837445679234979884650421276242801911812365428251908548785128653147315827657575437040719224748885314500885641333082322510096362340119161762306677752476770930457200086343712506234723881543351954796836509951407849017955528433421557107164636142728888925300161997312973904933087354648396268464234475020787635218556715331693283694989634536108806405082437330195616551595977705254634139127372931476996064995487721882221948399867754516522205030786972589804700358901007248216474121890924759559175769993497093876305461645838127475132568322435275074621166926498561801199278054025050574742886348787806912532601123494791723442277392362530436447840445423484201557666778945440369148351479097652219225630889167847077824051712016001254532925535587223442751904149449622449063165240415688826642588954283764329198742663792885024566278617292011971554453142012640616254951937349077498755161957440133777182979481302688899001972136091061670844640283869169281560213088476247120823121003027286064147598796926649001612623720255660341512141596430609071630368431521690623919367000754111172914363543534626319648448914208115063464886754907066065026680779981007269921829985242411266543917278679461793595659259871015466335533363011475658757662858956885156398338826851466546654526467861945572781965884430963767907216535247087726436031783824560303129569159095914705548127294049208745173065957241897956687667587395351141216737455403225120829690561147334218084408737121857881099787333530702450687704241445852845757719263714095996906819957114991206769597643457320888410282403308165970446180849430887929298392289845216872688085749349392865548000340588022374024703782495879507757971372409549479476473828285440292924758653824553911672707247752961803043338413927906154178000615644401059304203362865526891025613825497924902853231523786861049768726666438799451571540865397992817375397418373530360288227427236183197187220240637253950537108551365886271003413377925655690545485477069890529022018481739905043066562582193892336903730379930765328612124820798187603778056123398535524868522707298791635394834261635748149127265521379373193417422495794701564571249597867728672148064552802180508961682157450707171105173551278272831303600568207582412036015396598851111788872684464755310112597352798069507678465845058508824485527533064473463556978731060026246079186896817382127964692872403215664354387589536311610219012420788336101681642410563554951439769918427605666044084543057391582852714013411101576304441031988196689791941961462074873430030796616899518282349555228510935140316204704141794777672342843306940219168074870560647875079321144394581700812174702766141602488581255047875458003079799477452729624644027306676228940785819932916927434436289723229504160503790872150830703899605837394991591359180119043359497158897712212311050743380734543973784593146795726053722315460400764357863764623911065449494814575622582023093485151456763695072548681229411438937002210977435733352543926485286605620641629090307551302594269585498637370912359026404148338801901465745466274707808094779598942635878253926337378782928597755378719616244500420255265433191824107903589694096275327444829574939299863069341514806568914442800514559583742371278319017753269459659804601775032541923265884033982346718380647837479018903500046384603682723931033638338069872759391104992442546543527322333590668551903328713715702380235310032782921730503585077521593480628995380006412853528986145318345736869126822621567396371685804964139327542815617826930138310975954611718950386513125212300686612922652842708073237830395089034614647169780311179177199460538240773803689689971514667922600163249946139705406409188087221528529478724750726805171096193482014662601042732713645162666555937707374249872032181725112391245679934274875202762076774237724642245773008875852324482455403569336871691210616244339953141090495722086417462545058432622551143224529852534568184317778697328368854093813050426606472620517474492492697183764905786123677574089354265184954508216083481321354481763871687445187167653240287693808904070548162078548581713291035678549726155906200353714853107522355049243522598175405772173261662868232588872613724606101008709790914845905143853586556361709833070900120621229084704022230191495623246478766936188890420365616577204074468416059015055073432837299738599934418062835489947532794789901600430659209648145533649738304300580879629477111522438230355955316107170090646043644901161584294085486743133971064004744610557660234553606138306198978184004412122589286930317385180242444259430439241989315792487132877062705567284952690682786195917399007165847504812891054705766298039550276486803238717094310260243074368095667886262562309167020113403715209097708167030746148809610541245220240895704175301136176597381807810484709073985632255083151013557615054430908507332171779908359981381717202459856307270227314542684007980054429011593912237598353254664433094605359945212251717088502592323345702344054053690764257847522290974076780595069587867839068468608824241158021657913851291070408830794288166865363564027600877368248083252146970234127008205871304173365454108543960767704898861487692931456488518960922659305778339754429706627546240108345277306210653516819358807227967256075311981276452506457914346605891519435758459090955944843839780749701083132387710721229302442231544989900198907464401008679225255724219364502647557040649947797696769296937858657138588731660463906952204315417258976557063042922845579907419888746681460625908435224636571824808656083298015286699893575015804444689285654313514732126423911012873218743205510956455600669157300249552789774171580111999783429073253667985365369425326770432693650386171664344274591605664335294057616030762538023415022833417424509810662659965658839463585647846470476972920762818171503575928880707917906309686242113360976339071916653852615501831777342353106757612683354647867055837455668230801292817046397838643891610486039650962057242617757649860643426534378013484776237931965591721782224501526216816259576661242835815834799788916350763666072724843134451188803643222426713669390619753246059238920342861211693262707314280008809399345090022246755142864633800953665705356883580747656538360406306662877696109763932647360489216660236370344205402793383389908848822906638520373588960634202800696170832383468595802631561321085571011867225693099233270098167131833466720623257966327126716078876586071509401374268636772379673583258484764131234822292503110318317546035506671348362969560420114404984807895533552215439666986304242901226103711842971536277740188068249618320367014089906109154581274248595784686497177950546328454536666488880911898431071743500637514815013702327963317326409135841977661776436841169039010087893196367045228907780521154798852001395232382199530384464154981015929400820600057816837536393422774589184033104368865501839999565256976715372306169689520587941148311606843855664513423386938155907043323346766831356373134592893768400343444867239210933002777209855303050692721929217318805270778925359979213851356373300906689311241483312991595310473220213079755817132765849433639750877944384560730121529398395513569765658709715294216884008284376100922460111521391076159775368057690073020191818575872807713881014658550201236764095093032843662424545356225894384131821382107179031840732098667582916013676596942443087779282577631857091559140509565124246920943962831445468638868836739611262235381281117038957818070029761947519376101097168417082809365781151492525095385593534827801708602405347536504264969526341801289117642790034206652859612667681587354851086350051674354310900505155938463854378076418273429095083756105929888642891440774727887716964986643765569974802816078575885209800503174699004232340448893033138735289507537553028277159283886084915737251765610417270040678867145739984615182154169774834672963107897771995761475916318552449641342884103830272472477257357220846662077175069767602023032665467835301417616597597381360804186916757617588415719724369003098534838257199997758262044890391673856084551082776734421138886853704505450907787109829720736834047200317213940814464097536505719576704846539772884760428790166116850477088057754035528087582414847952268339830561436769967706539497396470164323849215539694155927552405089517901134017804221029050617524244825705472359447645929265328434113453311201566806414355084415292863748031828011235384900760275007687530731512085607098953763625306617412983490389694339677302104273068684795140125709161534744763796854871329720163979369573042040358238808224670543813679516314568932505718777048876439856922864869931178728062589017153522348963725370851797578221831445117725113704926842631454388733841912706093201217225209655409209171711519532482692587405839048457444752208751294226037923075894021289444440054877021413549299058538901457749345792053349534544387930448603214629457559088416942077824241022654064211997957574890560091221079983467394799251493863341270154535796764502904370008345461344784239927054265952344508690054631000686271545515555263515687805956831125018464841795093545839788134168115082208204340572083546626697525499360375583570777643918530773647142359963493399627134991892326650074144544146624680049498245640845486406561474601612699004784966316192899088715327806077790766913843237215646914941895314030014728490094587870250109092591942507719883740551607159852977923849380348729610788761017765885352489663804305023584724214732647454710283239335380420262635186248252455651473370383.83
