1,095,254,853,511,737,520,843,113,365,469,926,342,336,759,656,166,688,524,177,874,294,586,587,239,068,198,267,304,497,174,497,497,757,261,066,327,663,587,787,376,014,265,440,937,394,782,267,907,091,190,550,192,319,210,316,226,630,985,032,546,124,693,813,238,251,921,000,823,939,142,043,845,879,524,434,820,500,750,711,962,896,302,394,095,132,949,280,588,339,502,249,625,461,937,422,760,246,132,792,298,041,609,632,617,847,285,140,192,396,895,463,469,721,228,299,789,366,180,403,174,058,562,914,182,654,232,362,833,316,981,626,169,958,001,334,351,899,575,395,060,080,253,551,573,386,971,289,757,097,246,396,168,470,550,537,298,180,070,122,047,964,455,737,536,020,661,971,783,213,866,772,552,790,991,561,370,876,017,617,918,155,889,044,175,711,337,221,772,362,864,030,031,783,867,616,403,684,601,845,764,602,412,113,583,346,893,385,536,271,908,147,326,870,946,608,845,287,145,555,138,808,894,024,471,834,942,503,391,698,769,554,074,745,824,215,029,569,995,963,327,539,121,902,988,890,146,383,950,460,435,195,662,813,763,379,686,478,458,277,937,281,663,960,103,714,158,581,427,260,037,746,163,934,867,358,987,785,962,194,623,239,113,702,410,723,792,315,568,130,968,808,176,823,323,655,028,430,989,454,276,077,640,534,160,395,387,357,882,862,120,745,909,682,925,612,887,017,455,908,824,294,489,016,374,827,770,404,857,631,147,878,888,515,895,579,959,404,071,276,537,996,701,524,002,368,120,180,705,058,751,615,251,186,302,436,444,623,954,618,641,951,648,232,410,693,406,011,307,751,108,807,787,278,295,033,182,522,955,605,491,538,310,782,322,912,081,308,298,693,746,383,199,331,778,717,508,810,367,663,696,625,067,424,603,099,638,193,215,350,494,459,250,834,807,349,458,462,349,530,487,484,428,168,100,026,453,808,446,426,221,642,032,806,386,650,737,656,046,166,108,374,387,225,373,066,280,479,776,102,480,875,758,496,116,530,720,321,302,647,534,243,475,611,254,389,250,939,364,727,297,715,995,577,870,404,015,808,443,824,336,789,557,240,252,141,556,471,983,936,540,942,107,000,163,187,764,898,396,750,844,945,808,552,137,791,084,661,161,185,936,277,151,142,703,808,675,829,765,851,352,605,135,404,932,319,667,577,890,439,012,572,369,839,351,561,973,897,692,864,266,609,464,242,123,984,651,330,787,554,529,589,016,739,332,834,351,595,309,481,703,156,141,636,724,830,147,337,265,343,076,862,241,938,074,619,567,494,383,524,143,058,753,620,376,888,389,021,562,015,812,332,352,238,632,377,301,331,983,115,150,641,648,714,162,188,666,845,334,770,765,632,410,912,511,605,225,925,422,226,531,354,589,869,737,369,739,642,139,700,744,818,238,948,475,100,849,242,639,307,204,078,320,370,810,216,717,397,831,835,221,664,434,964,407,618,261,184,782,935,219,361,601,318,559,210,825,765,480,572,251,781,630,686,597,565,538,226,576,225,016,035,342,576,825,975,052,599,916,039,197,877,873,374,501,890,416,461,962,740,788,146,771,605,892,819,958,502,220,838,188,454,260,930,482,628,035,631,615,637,875,297,568,149,118,443,120,339,038,285,484,541,956,344,848,164,263,890,169,807,601,975,891,707,949,506,607,260,967,754,511,006,169,984,685,780,621,059,757,476,407,190,450,613,391,740,452,501,174,317,546,443,697,833,043,866,305,980,073,024,533,960,678,714,492,942,291,099,065,247,604,572,387,262,796,885,403,860,813,144,184,662,532,759,999,102,013,179,846,731,759,889,108,956,304,871,202,536,602,465,823,465,123,263,889,698,118,547,773,324,662,411,953,529,405,640,890,938,340,280,886,241,555,556,751,512,314,861,543,710,285,871,495,840,528,769,347,685,312,237,125,483,135,153,719,458,405,456,143,728,362,437,203,842,136,005,979,389,387,535,004,971,757,680,043,144,062,755,262,966,731,366,055,102,159,973,494,424,314,721,659,911,967,667,955,119,214,136,129,626,635,292,140,225,052,647,995,277,071,612,830,553,671,296,174,780,250,948,077,950,804,185,698,155,777,367,215,456,329,400,823,698,829,142,186,997,727,704,030,808,849,483,039,026,689,382,262,047,507,299,741,927,589,420,922,588,847,463,708,763,291,196,216,273,407,336,368,992,081,648,551,105,999,653,788,596,356,721,880,503,493,705,001,878,303,263,191,438,250,986,535,034,418,068,801,806,554,965,786,596,751,407,325,831,285,197,540,616,766,956,762,463,915,663,746,158,048,952,935,976,947,525,795,285,897,971,293,365,466,822,745,791,225,477,859,702,303,548,970,689,554,302,195,524,260,917,097,462,966,149,805,187,776,070,373,328,923,972,877,421,926,818,756,905,241,084,771,488,894,533,775,597,308,724,257,455,393,464,646,342,723,028,088,804,109,897,640,292,594,621,974,621,944,408,457,541,255,323,543,662,075,475,927,565,117,258,758,087,106,095,931,931,323,038,498,003,442,449,592,282,520,046,312,881,316,584,544,002,408,187,917,179,807,879,461,324,588,336,416,181,367,591,625,059,188,811,129,785,125,983,761,525,331,974,816,610,718,389,573,063,190,515,433,349,207,793,282,739,947,551,377,452,074,712,671,785,288,331,699,074,167,597,739,844,961,081,631,307,431,115,131,115,223,358,525,526,637,946,836,243,401,524,977,816,543,565,755,357,361,933,721,697,277,916,094,233,998,861,448,679,815,047,272,219,698,196,136,984,118,852,782,775,118,465,780,066,422,936,262,923,546,460,554,817,263,764,335,638,232,974,610,293,920,149,655,099,562,171,750,617,633,809,007,567,662,028,442,995,133,004,803,475,238,801,489,458,486,832,510,819,194,688,748,958,327,327,897,488,626,514,079,934,204,244,240,675,837,998,054,862,729,815,013,463,798,633,381,912,414,886,657,115,258,846,106,245,167,477,987,875,031,876,739,532,287,608,543,310,165,105,477,308,865,714,964,441,461,363,282,223,994,257,110,621,188,952,107,867,885,470,734,562,911,457,017,889,474,654,738,107,866,755,635,532,066,075,580,379,674,833,649,568,498,789,334,355,612,432,593,147,630,877,959,497,946,119,633,676,931,430,340,143,345,458,176,156,149,504,309,529,875,886,388,771,373,792,152,756,682,426,481,547,255,995,522,407,349,031,482,684,043,257,975,182,942,663,575,060,290,402,823,838,276,739,966,230,939,593,420,665,689,241,811,255,677,370,355,172,325,713,572,845,742,399,162,851,540,392,136,966,797,308,498,311,948,587,891,823,114,361,822,374,155,396,902,778,367,964,318,417,512,348,520,521,202,730,684,719,377,059,125,014,563,738,593,747,371,129,391,764,626,727,919,760,118,213,314,203,976,391,253,344,468,020,282,624,384,547,510,822,880,761,540,377,722,235,032,635,607,752,116,032,237,970,053,588,080,431,484,726,410,157,608,787,204,366,214,250,617,668,522,185,350,468,343,268,711,374,194,410,752,581,401,125,572,677,408,730,073,937,764,641,245,872,270,387,997,611,690,164,742,239,968,377,612,143,357,559,176,192,076,971,562,866,726,098,421,042,692,485,208,337,281,882,777,789,176,053,445,154,808,005,194,604,524,082,830,433,016,608,910,152,514,401,232,108,834,250,401,756,799,803,299,697,027,899,544,642,821,914,219,785,724,904,450,375,394,734,302,253,857,346,374,418,460,902,868,011,938,636,223,009,574,204,890,034,512,810,410,643,824,774,271,878,154,437,324,187,749,940,164,014,678,572,930,349,890,366,745,313,761,367,853,016,277,121,256,856,755,313,264,260,358,564,471,125,339,712,555,013,308,725,750,709,812,696,553,112,672,123,957,418,955,047,619,598,701,276,749,379,781,525,311,067,558,417,016,499,325,312,701,303,041,562,885,575,904,729,794,591,930,754,645,256,162,889,502,828,787,626,343,716,167,356,905,496,813,792,952,570,178,009,695,599,063,816,556,828,458,222,851,883,886,874,702,926,704,550,666,834,309,866,248,653,051,893,432,595,510,042,978,582,034,099,373,354,192,572,830,048,043,651,089,991,600,524,673,467,405,255,741,310,701,671,759,106,255,101,366,082,823,290,791,844,257,400,151,341,960,925,376,304,867,758,925,901,218,962,851,944,696,919,647,360,627,933,210,168,830,205,824,015,988,005,444,489,526,651,658,644,709,007,453,036,471,820,034,330,289,072,788,307,433,486,871,833,244,181,419,610,009,199,493,139,159,348,656,296,533,200,609,345,421,691,316,628,033,773,496,526,254,228,871,477,908,068,198,542,099,114,471,119,387,751,695,197,570,833,875,137,295,900,263,007,203,519,022,493,435,222,007,374,949,338,560,068,487,857,638,276,549,936,831,544,659,657,658,294,307,583,665,304,577,765,077,075,345,395,300,712,067,138,191,786,884,658,102,270,154,375,520,675,793,321,417,098,506,471,823,228,097,540,453,655,525,845,836,891,097,065,628,036,188,648,072,338,332,003,346,578,837,074,006,448,566,067,006,613,957,362,683,075,628,979,864,898,085,183,173,891,680,105,230,233,663,880,639,240,821,704,989,236,253,724,805,885,578,972,988,062,701,855,279,913,060,737,632,848,173,043,026,550,751,225,754,991,125,774,147,140,453,923,927,544,138,600,902,067,871,391,373,434,780,882,107,364,282,978,868,012,850,957,599,943,273,662,899,563,399,292,383,086,556,536,832,426,519,231,090,827,665,285,144,100,092,184,942,959,554,086,907,792,290,719,999,591,124,591,016,470,331,540,879,461,603,051,502,380,479,116,489,510,662,758,664,803,027,705,627,176,208,042,767,845,946,839,069,906,208,028,366,508,198,232,935,705,192,511,329,899,347,683,610,097,086,827,439,221,505,133,641,192,798,140,628,189,066,372,681,544,472,557,389,048,515,006,393,554,231,310,720,942,374,045,251,063,918,332,568,379,172,914,056,621,665,889,070,297,409,334,203,189,625,934,447,382,392,039,530,190,872,146,139,709,152,748,957,186,461,353,243,503,983,490,735,268,842,610,837,280,306,737,149,738,204,301,647,264,685,104,707,160,590,311,869,169,866,446,031,952,485,747,435,679,734,098,911,761,709,883,744,035,478,307,681,551,757,679,507,538,324,594,626,345,597,853,895,166,931,418,015,664,550,298,464,129,348,809,035,253,530,567,463,917,276,751,040,494,243,086,205,629,663,252,688,935,667,053,942,504,876,459,961,905,453,316,843,779,591,496,877,429,081,015,453,169,258,681,019,886,616,402,797,034,775,523,844,297,066,575,443,545,191,826,295,254,366,806,390,392,667,065,149,371,270,379,419,514,811,759,419,627,193,048,200,874,271,502,420,877,750,445,461,529,792,330,777,504,003,836,661,352,720,100,618,962,309,457,102,133,480,417,286,274,173,465,378,478,036,024,572,923,599,414,120,908,800,391,166,798,302,013,118,545,688,898,058,525,222,520,901,302,705,259,487,488,313,802,842,431,159,717,518,034,421,490,120,294,141,031,034,283,339,755,443,755,535,913,470,811,280,745,779,322,848,979,861,528,803,224,885,544,018,542,049,069,651,042,008,632,334,285,836,905,637,459,351,058,505,310,280,884,889,715,074,051,858,136,798,239,553,642,489,484,909,437,396,433,209,090,612,279,648,986,190,160,628,053,555,219,245,250,846,389,811,996,624,715,769,423,049,256,331,833,239,354,053,793,114,776,362,653,083,357,361,603,764,094,135,816,635,166,256,952,411,310,980,567,327,398,337,148,715,759,978,916,760,444,365,008,264,678,963,883,204,989,177,198,915,252,033,500,396,523,235,122,504,490,372,554,872,075,540,791,393,656,585,291,522,291,855,056,041,003,674,237,739,395,276,140,192,968,118,350,575,975,751,993,020,231,400,944,553,769,714,256,582,295,203,514,446,917,426,941,949,355,002,978,164,373,591,915,408,124,345,410,424,658,867,183,503,323,788,910,472,973,659,676,791,659,765,193,279,765,432,847,400,734,589,444,905,287,706,974,310,085,814,246,065,046,416,719,489,253,726,297,144,110,844,128,390,246,427,627,638,399,604,614,706,898,004,375,602,409,333,335,594,549,925,266,483,600,363,340,733,826,690,146,446,827,843,497,538,301,546,220,366,168,466,186,434,669,623,577,602,906,348,129,744,707,830,240,800,795,947,303,018,643,806,887,253,836,350,431,554,856,720,398,457,070,563,776,246,870,763,881,128,290,338,751,221,134,808,131,973,084,477,066,009,029,816,410,686,621,173,951,597,233,246,242,524,004,324,631,725,529,694,919,241,428,211,008,843,910,369,160,913,182,820,241,702,235,787,810,139,465,961,737,059,231,579,709,173,221,262,718,725,489,398,386,436,531,263,948,836,386,231,279,114,861,818,029,641,166,325,857,884,940,299,176,747,609,855,096,809,401,524,471,899,774,893,081,799,893,363,274,933,612,707,770,699,401,758,267,915,118,373,644,346,122,358,545,234,739,168,760,593,069,611,676,181,273,914,887,059,957,713,672,237,994,377,571,216,581,558,146,000,281,653,173,889,914,630,571,090,762,174,878,127,299,462,865,858,043,874,442,802,435,086,907,651,895,782,191,659,940,869,504,236,965,290,130,529,388,973,956,008,403,497,139,340,645,109,259,640,508,100,371,704,631,082,113,448,996,984,764,844,248,391,221,169,412,780,918,255,819,061,158,666,026,531,648,909,553,237,423,477,726,464,975,216,424,469,559,936,425,463,598,336,051,481,438,048,417,821,640,644,270,490,056,513,365,322,850,710,454,019,198,780,798,641,986,862,389,574,564,388,391,020,050,773,625,608,922,644,580,924,419,321,488,051,921,601,327,438,775,969,514,941,770,465,337,474,375,486,512,046,391,917,042,295,129,211,136,479,416,777,784,212,509,308,552,987,840,637,852,766,434,128,555,317,076,149,153,191,571,163,447,655,253,635,835,135,826,915,884,354,169,583,459,585,896,839,874,177,588,998,678,160,321,665,541,169,812,481,607,073,048,701,742,570,274,192,311,181,701,636,699,463,342,445,015,636,242,294,250,491,644,994,641,094,811,125,935,241,524,410,353,014,677,470,291,085,795,705,116,297,126,132,007,441,266,952,050,375,791,584,691,315,758,984,651,573,083,382,004,512,194,995,806,885,341,977,074,062,822,982,327,542,849,393,407,672,590,225,734,505,747,402,637,897,879,927,072,789,884,885,466,826,381,928,614,771,099,044,888,026,114,325,257,885,948,372,230,718,163,303,870,798,615,571,966,145,785,254,039,016.987473030250758144
$ 8328051397791099761112362665684208163110363195867077180677514629912114105999368849797240273854111886322327628596033236527330799064852093396682533963571409473443912468877313815838039056898979574649339557805617059426380881229909886117985278759116157982845738144677636831890328018646641629732937990027844323759998647404319388771538256584360440128938327367349288833635558705473155700617274711014490038019184325808832423197598682951975505859212283305485920034907644875710190410168915664683271561180580201296353902378144144075086856694059890061583203949420934720322516708940892093872579542448447318886468986083540233442385748878219778445692954228564268816223334820539243812374455002513595055857658865489934379489548529215936858568158219102501101317394960008317799266841716074458791116043525540205393987728820805416966269851990101619201400043421945637335455551191833991365278629565354129841498100617315643348220600421970446846985619896410712768102861947953658046003588969198458146959254151002028991389332267339399186302755317693619585898265224405349499986413752416567573822540916797035266884978803733732651307843488604981611598905653593964465364276635427071106436114565813029872935050003335912494462523942687812827436358042272962967941183553701500168592630129929207693397195364861872151643367545151091327215604946846166183733426673193340200062192631058132941283467991093374269610865674450777139833371600054779810520977477617374173621162267984888856616408654330582869959094981688248198536119072637391080643238949161831509954575175939954488526948805297362325495535196370940155895647613275700168345658921274615733029016244003801410245103442683922828077922640368981886748814692772873741052534046182399535003353104719872065569945853274714517765895971905398460697826518632656365588819144417685069732438276970069890170012498288118220316186375427313443488073821782297868695772847732016094701571765749082961775883073757548147393087434569880479357675439856440387318863176280317209281349772358906519532580359797973900348274811553219674136999882613897153492664976826348655656731604502379981571099922063663551923250044674657735639622855209287153386356079533660764411753961287599711457257807147752180258426678696297999942852965647988204930447716869184167258472563954873352568159518778236279612073214526908615689027951976555769471403915061918921382173899281674729283226504025802293111547599978267987671867300491001679283923984932964060735075065621351060355262652696526743479802119044712456549519857606928241430632981077710884464686817935358226881289305188756542522684892482888290638940595587081968433538566321094911111668596423305732481603060858040781781927797935888752300907070727898334860628721814215481880831946576704576266770119858131985555603512044291886352054673033188055622665441224923175641854713941793340283201034103437450369519715774912563002511806073066101109170486900670625246449653393134174120649480586619725394687007741895075291375830311488919257898675066038826241008222950177465253263701497356849340958676396948345621228965340930149048881206922548075005083995779466373147732884398002352991384916097889761531271439018693338745092711729972081364785131968635565702599602928550882005960994114440444376066530687985873323387598676584226411137788312494815883964097176017658710691107445247174152777454559915630454586537131952119163001451267734422756325590207344170559048648712424459022061989691864249076759166012256602225667501191384741761492657005999148843674321904909687069258471188697506647978491591059138409390559594548583437991911401713503521755425840873309082297882964060976599514147807178448578186178471017545831299236925537532179261207399801973830889865764932609227563604827919477855682823263731449849367126566566455191620990956783156412379890544807675284138880052607768475820577182180906953592097735682391695457303268900034149560032383782260490498664881785614910632161147747193302954779244339000676814696306071880361609317786521972421339904188134167016843734370079682685060955162037870714704303280941534133995628230983276708782532856831228276019684787775093624186590698989121260542761507998320464602569893716236769473798421119952881998568472325337925111907242326907145210626706125206513104642652463080811368345612958464656659070074171519276795202359022109187095512607108699092715225256043774055123886835525819028210270593451082651840720954662568869829982571443793805159147046281914676218729968859788277226480107074662568475195076545030549923343193373400885175908760744328238331172281633402409975002723447186886924289870491634460069557942205352393707926830747587926070268609578917804422350497540454692966323444173409720876950864621347565828705898220693221371859479579010178596323659981528410116581939373705148029712115502357251209252854747531013888941178213046819710623132426151311923692470580235965458599394866343232168929049221886681018453639539524303746006316527163550943606439611786204428502753994112212366426615276251936754431845236886872768047149933348928259054875675133069745876212920262722338406116771629497755720422945113471690129914292715393193870904379076568173000590995796604020966285427710914614233002832955390362273189195359457855909892746173818776905196076233453270569603955532491730899245607454382167131917107509479266528693806255031527134772686885403881867368477027762857522017079012056470619333294248147802480826321636100917804775447241028457306748515976254562642631895043237348778606541821790392561678938757482158663782722840760796574488062421027841621727311049309709624870143868350476417925933929516180069967929189312135018195726847196713731637755607096438832164655453976141636423079894882234567903692807189525759744964509845662506089711725036480790843157151428390687946336107134820041761918780177099967568235274270548096070615704326351643270404034348946288571574835034234380097682333476493408377513236508958222877594129620325986671041620481807623480061106321615404713557777992770052388662299012737309268040333795404726515503738637491663171976996540390720154612157532837289538999980579219622034271810329150857270911498753346331725419616512603956896941642800455713061391355785100080597878796928219646662627430605537835500007239535927540086014651880229528375896643261775730307166941587048890378344550783241026875230409577399792604494561783101582488599613331084023176113468462923653527619651187140403831900488724281407053738159363271974953723223051119125702724210621189506229493828399763268510188434345557160667559090681647236837327430057432092037612461299387097013346732755762947263542344364669034867034747640299947574990915917124813655405373812867932548558210523246262182023496710888240002174729769395057605292846749024801174001929421174768893444781642578655919650853565356918874375243153618546659617196497206830417759105896121022082582926470903245297775072339866239187624556185505815970569579621111904516241450750962946994019029343324125082288713484165630232668909194511166850790460203058899567944252023474965714902489944931681568976062742149054785624663997680556260962570423839365543905514936912758089632595687493528810979074174277335430792182548636298917513563185707550093178658529303606061692668675563985728851361958478606864882173022358716741479470733021615557370405017526075683256863026260119453154270598198803743237699319464592054454022169162974116967571922401736290961611183257808366420032159869934560387247194678638655281997418176112779460556187528033623426427841647802522062610734366405615170039827445228424312974412764761364680762035945949044413115008286336018183212868386895213613428265535022349952247341619488146726675997398414262673325524942459299242425510367748751770579405532513241948528637371764918797257757281864138296928563668793064731247641402331941688279226845859862271745993201903051019634951544150402624816268207122012661957713674640573036762107826815210116530654920036059849010934036318361086047210275625593560557114195329624881406120185975522569005417265714856076338524602532128188190194244189189820354274967977145624414950837352577685229225184687448409030178260583435625112454669074208492386218547447968852520009647052330354430188618242012986853494478824900400299825301610027376436186048499996950092549822705505987917886936378005635745228686879729983812062633386814771523174597349008346558364604213673492454866367813504128965404332416130132128280537785362083720448667632747169379627752498747205989324662835988927119666330887020693942530503468649592715399475713377873457566105794304978875907557211677197466731613626891820110625966745775653738398646257026954464705719119255279361721165204406201496826047863113641284601311479966819317429874072340541652628153673635227265062638718948332941629631404343992363967658075667182160805278988229857637770945008105492372261105008355045301344193258303629559508715311563213704902865887889007957444278475770488101543359273120707573447756096748018887585409723899107214654001215293413757261755890352174969238731679621172601375862806015933744147789418860207457819106283205686367882466040518047987687801628981214668742166658207652134121948537377675347123334781012377141567531643148573940900945246915066301304049808414805810547578680314958593723925747682084158680341038745081185117506323937892175345353445351733413939746788424064430351000913353488056762870963835306881638929075724001183700441575959994152871547141884839390994502851009411683362407938537302912033674321230863137225900714404976162337034370146112141510699477765540844635791310805485262429614835263221660404013796427327534026091788045504141618237343459666406168899156656655613850702177845796351945027307684825420721512681683267990572830972669884675601396016028663810421155193390161423257744625898928244076516328927649743345530943761778481499198240100661288319161205266062347688341130355157432153690850099480532544713232037073785397002140389615.07
