1,057,194,383,820,135,875,823,967,849,581,314,768,300,369,252,444,918,168,398,003,160,069,732,251,555,088,074,048,716,677,859,713,297,654,310,995,842,468,606,589,823,489,876,647,220,156,740,164,709,470,495,281,567,352,395,212,186,104,147,887,904,294,019,796,431,575,252,451,928,574,319,556,311,198,822,887,982,784,861,280,348,277,807,487,640,174,395,912,841,805,716,647,655,680,841,344,360,110,647,839,884,240,459,900,806,845,432,645,337,071,722,067,528,964,508,359,386,657,062,727,837,710,617,304,536,900,514,351,361,272,859,591,138,168,500,927,174,208,879,185,310,284,806,959,806,793,117,998,496,545,410,941,975,950,856,454,272,728,023,771,502,869,015,728,245,121,826,978,000,562,193,094,629,257,457,534,488,591,054,973,640,995,711,096,610,560,554,402,737,798,505,372,358,656,537,458,338,100,629,607,276,369,533,852,799,644,465,951,778,208,105,660,161,935,497,934,248,837,370,229,677,736,509,067,443,427,257,729,506,622,610,479,510,985,142,696,107,257,241,825,503,600,800,046,433,511,263,777,599,024,879,296,894,684,157,187,773,749,731,897,314,999,895,958,836,562,623,307,805,362,873,800,037,352,369,259,259,182,376,410,154,202,655,821,421,393,304,836,468,828,424,436,485,765,246,615,206,755,251,743,254,931,550,720,412,580,742,574,842,254,483,662,104,934,308,595,510,198,416,229,039,237,111,238,278,656,211,342,197,574,474,367,509,432,206,037,901,681,459,058,301,359,262,883,640,973,050,782,511,823,727,101,863,648,087,268,886,558,509,031,459,699,029,049,269,951,540,468,918,674,065,369,538,189,898,997,143,479,938,842,523,780,136,757,052,572,642,340,425,532,127,268,197,026,844,036,371,607,088,347,095,693,316,449,220,645,056,550,055,168,734,617,137,846,192,104,411,177,855,224,694,260,934,664,953,119,144,378,856,625,648,804,466,171,601,621,315,692,729,973,502,313,511,847,124,705,998,337,081,917,185,152,951,508,082,983,059,852,555,947,719,903,051,050,780,828,320,335,723,555,919,429,923,751,074,960,663,780,134,634,895,533,150,596,139,791,727,998,238,578,895,177,256,932,701,295,575,211,236,547,071,972,048,402,216,626,614,723,831,652,317,326,033,828,046,241,154,824,582,029,086,963,615,833,072,731,773,134,424,024,902,500,058,562,145,247,076,563,314,359,197,572,891,660,871,578,944,718,513,977,550,557,840,679,868,624,612,379,137,451,323,481,673,698,351,890,104,651,559,253,282,291,612,807,014,485,751,181,389,927,440,079,496,370,403,069,195,316,217,807,513,180,738,171,793,015,895,370,150,036,374,095,153,693,307,026,710,235,367,775,280,130,625,087,226,663,177,663,551,507,247,122,639,074,383,027,918,892,512,472,029,260,638,881,297,113,672,750,035,960,891,603,887,604,213,495,138,505,580,468,542,896,180,073,920,276,475,977,014,031,147,879,680,221,822,534,115,918,386,409,032,643,601,165,193,726,713,969,147,291,853,693,771,857,279,636,846,547,814,838,505,851,213,104,364,747,080,509,377,308,512,891,885,254,575,588,670,556,299,098,095,831,887,382,249,819,115,950,612,299,494,385,879,095,082,407,012,645,831,116,164,328,281,935,495,279,522,987,256,869,728,411,321,667,394,900,173,413,927,689,711,303,333,979,485,095,551,717,493,504,102,081,128,470,975,553,554,406,012,955,832,844,956,912,722,763,426,753,922,445,851,255,504,099,207,292,379,423,160,230,781,390,751,773,474,955,505,439,717,259,495,298,432,234,686,175,944,886,111,787,128,554,406,705,834,830,641,777,136,731,291,578,816,765,153,949,167,415,921,037,482,398,207,857,255,372,603,704,007,383,047,457,100,145,549,411,624,187,255,799,163,325,978,937,014,073,780,938,306,254,299,438,752,852,743,267,685,788,680,069,487,333,311,603,358,486,778,860,520,033,550,146,805,244,928,212,810,892,597,335,777,548,660,892,954,741,926,811,822,857,822,575,871,444,983,570,409,597,226,974,393,269,927,850,973,810,577,979,570,396,384,348,246,106,211,783,128,736,593,587,041,163,859,294,137,439,617,480,799,875,439,565,897,750,310,976,331,187,690,185,973,955,732,826,157,297,391,148,887,802,009,461,794,796,223,186,788,705,550,834,857,495,104,679,307,643,512,616,679,522,519,416,008,163,473,907,529,992,916,254,518,721,400,027,414,961,344,861,220,019,474,809,475,336,112,386,012,732,530,985,990,071,973,627,286,578,603,605,421,531,834,511,259,720,922,582,784,044,553,425,660,596,866,006,423,669,860,754,604,021,631,493,972,122,153,674,983,500,478,003,972,243,609,418,542,677,291,023,694,411,880,574,945,656,500,411,758,232,308,622,091,030,825,877,719,931,613,083,964,867,694,268,760,719,028,293,697,146,021,975,131,144,416,835,690,230,053,665,993,398,585,022,190,694,083,255,880,367,815,122,540,469,424,303,781,546,953,853,410,751,360,541,776,851,306,862,720,851,407,704,735,767,712,727,679,046,239,528,882,400,298,149,980,582,562,935,506,134,818,454,152,386,007,570,614,146,114,454,749,775,288,529,318,907,172,812,745,661,663,929,663,287,360,148,425,131,920,932,399,728,244,033,447,135,408,654,155,967,044,761,972,526,861,250,436,560,347,724,625,422,812,600,114,341,102,218,112,281,331,931,198,656,122,916,797,342,464,541,100,156,062,978,878,839,984,402,010,895,869,416,284,144,585,364,141,519,650,571,912,641,448,639,456,220,390,158,494,969,680,516,084,693,040,920,114,586,155,591,007,704,629,079,431,801,295,205,559,713,599,035,303,699,416,183,213,202,449,844,363,206,131,158,234,095,242,402,770,212,646,408,305,416,953,046,922,236,492,305,999,387,543,027,088,096,170,069,065,253,798,990,452,086,452,756,632,229,936,142,536,665,322,113,935,956,518,143,109,793,681,284,488,606,018,393,943,234,657,040,197,372,762,557,685,009,267,479,500,917,440,188,916,483,223,993,562,067,175,833,594,170,785,901,630,468,931,829,874,992,213,787,174,293,891,263,010,704,053,125,816,652,309,951,298,189,807,201,009,093,052,847,266,588,167,584,647,823,131,120,622,628,787,863,239,739,656,805,397,436,940,255,968,718,754,905,391,570,326,457,010,342,801,560,920,319,809,562,201,034,849,051,687,174,889,867,177,595,921,028,251,435,917,119,806,659,822,742,917,829,347,819,032,742,847,471,821,159,019,637,319,826,103,311,921,562,898,791,978,750,760,856,462,686,120,393,691,111,802,291,874,197,516,033,162,270,108,192,351,187,572,380,422,573,901,636,714,981,665,427,356,823,422,736,501,022,221,023,958,795,940,759,221,835,722,551,088,282,423,702,266,325,885,703,958,542,675,252,274,890,006,479,193,730,394,276,404,585,464,340,798,351,809,011,069,046,341,154,887,463,224,156,962,387,937,525,639,164,260,470,168,474,175,126,412,163,421,137,798,639,263,687,989,308,312,624,238,853,901,152,075,035,727,242,038,848,606,214,424,439,259,546,452,417,489,839,599,427,291,026,409,917,131,651,806,302,753,771,734,519,049,910,832,419,245,551,404,633,951,516,213,758,992,691,132,457,472,583,493,472,129,150,748,115,857,345,762,057,336,010,191,219,885,517,686,775,209,608,317,522,354,743,736,057,845,263,632,590,118,009,757,603,684,831,442,876,996,023,723,457,811,160,712,126,155,407,243,199,028,781,120,914,397,789,606,030,850,381,605,399,264,200,171,264,711,350,175,135,794,360,584,373,005,629,273,603,632,981,821,959,081,875,113,984,144,297,120,352,969,163,373,774,857,761,511,124,178,741,532,359,363,107,550,419,031,214,393,577,551,213,868,308,238,866,635,094,886,746,166,711,939,787,778,169,226,432,078,375,006,793,560,097,492,910,324,714,864,863,021,160,076,450,774,105,251,632,100,273,919,343,547,089,929,302,968,358,255,104,140,874,412,252,200,778,898,809,729,251,622,522,858,907,037,932,875,106,447,879,744,332,433,818,135,762,372,079,551,400,028,699,394,010,536,509,734,839,974,734,843,616,963,698,198,960,684,575,037,476,936,194,847,694,357,857,700,517,738,996,076,786,025,675,084,396,471,425,263,442,719,341,923,436,351,213,461,939,810,489,427,391,597,511,986,536,659,581,990,792,493,939,891,803,785,080,767,647,414,432,811,760,748,504,236,945,451,909,471,197,401,803,684,098,723,091,742,930,447,995,999,193,703,273,206,956,570,152,178,522,774,242,881,187,581,653,259,740,577,613,455,539,234,920,451,445,830,148,137,550,283,259,072,439,699,290,886,798,828,821,628,460,578,522,681,704,069,511,743,975,381,017,426,528,642,203,152,598,712,095,684,126,774,934,585,834,737,378,559,994,690,384,825,773,018,672,905,876,305,480,251,415,188,566,525,329,611,534,214,416,161,759,660,035,080,321,080,786,095,617,507,654,868,585,313,167,713,658,649,335,552,104,673,278,719,759,625,211,967,177,900,035,224,348,407,832,028,896,664,325,700,345,475,366,893,744,228,212,108,114,948,901,288,773,684,488,037,580,203,349,136,351,598,579,955,962,299,640,584,907,762,005,509,529,733,733,388,522,588,499,840,139,875,465,468,157,735,559,784,211,232,018,142,473,294,447,820,152,172,815,303,804,832,728,757,289,424,614,094,483,305,910,363,449,563,161,664,982,001,826,249,204,951,044,335,376,067,214,327,508,072,550,302,340,881,756,118,197,625,865,779,024,310,738,767,006,293,636,233,603,740,191,228,614,142,868,144,734,344,643,254,292,339,700,644,614,977,336,237,122,624,467,395,906,235,207,518,788,530,756,151,589,648,855,484,644,883,100,932,992,247,994,766,033,408,241,101,204,723,188,488,107,504,701,591,918,352,269,401,196,178,034,301,731,229,394,457,425,027,499,659,725,414,237,972,279,306,082,761,679,159,342,298,689,335,433,244,356,351,894,765,207,557,124,340,409,679,714,268,550,642,852,411,498,472,070,035,902,344,170,848,339,945,823,838,781,788,901,761,850,407,669,995,634,528,628,477,749,457,102,563,138,835,534,969,031,212,484,887,613,211,420,788,871,410,899,351,203,523,766,174,639,369,760,993,062,367,498,266,580,666,902,346,982,431,771,600,671,135,483,176,757,807,513,114,441,418,618,040,747,094,042,791,427,156,861,222,150,746,543,181,433,792,636,372,304,331,533,349,438,086,203,080,368,420,409,871,514,526,230,274,904,114,827,257,223,343,003,598,900,568,316,426,523,421,705,122,886,883,736,506,356,112,376,295,206,287,460,363,870,277,738,834,193,668,561,431,798,395,757,375,707,977,717,698,061,243,020,203,577,575,876,020,412,355,610,170,889,728,222,867,419,688,482,752,362,700,375,542,231,903,811,937,077,729,949,711,140,777,704,483,543,622,858,340,735,691,653,913,523,833,533,018,511,420,120,822,196,520,735,616,729,956,898,682,580,374,502,802,856,004,635,857,987,914,001,316,467,662,965,135,897,419,007,097,476,170,314,028,900,849,398,451,340,384,470,815,892,162,827,009,190,750,038,901,079,220,291,118,809,195,094,115,244,143,344,916,304,798,706,845,338,657,090,763,543,519,755,963,084,821,356,939,609,461,683,872,655,829,297,799,135,986,479,775,535,226,593,291,913,146,184,975,940,899,502,791,675,569,514,702,449,548,499,679,940,731,098,672,222,107,076,428,968,589,348,242,393,011,988,053,434,008,101,181,179,033,972,930,955,637,825,686,843,146,878,808,348,525,606,345,861,043,704,402,372,934,784,254,709,035,210,060,394,779,836,719,620,058,143,310,564,745,783,626,618,045,104,307,055,022,770,441,176,430,534,767,088,046,852,725,800,726,370,026,923,299,969,619,375,644,520,510,252,288,872,214,504,836,825,165,802,308,257,544,391,831,294,328,271,399,491,330,700,590,163,263,000,930,009,955,966,849,785,711,208,585,097,800,657,020,453,469,889,421,365,172,294,365,654,995,460,004,028,663,704,475,398,278,283,411,547,200,235,721,891,569,089,178,929,362,205,491,641,193,925,844,661,671,032,615,500,325,127,414,406,624,075,262,921,662,260,866,183,327,227,221,111,526,361,782,532,969,225,161,136,287,910,770,857,255,008,814,883,184,062,699,137,158,148,088,106,991,707,203,578,336,298,848,362,345,265,109,695,899,704,725,664,558,839,216,016,768,215,596,776,612,018,537,517,029,025,909,155,517,816,597,477,740,582,445,994,166,325,134,742,318,369,315,946,801,033,325,048,045,376,913,959,699,546,311,296,102,678,578,661,909,586,574,116,348,111,715,952,874,735,723,858,634,624,924,402,156,619,189,148,646,863,827,729,472,579,515,377,804,938,567,162,828,212,237,603,399,655,581,545,613,642,268,316,374,782,802,898,829,351,113,934,981,260,058,700,847,526,874,158,466,030,172,228,399,467,633,767,453,939,647,970,419,251,203,786,391,067,793,731,814,545,606,048,113,720,986,708,984,255,393,529,569,444,940,259,480,311,358,193,079,946,869,618,047,803,128,137,962,785,406,807,003,914,864,441,174,509,222,942,680,762,865,238,901,991,046,570,858,080,029,123,289,285,974,194,672,517,314,791,770,030,180,464,832,599,585,156,994,302,548,015,054,269,373,442,185,802,964,240,905,202,595,080,508,876,421,336,130,364,154,324,865,202,016,513,393,038,421,965,168,895,649,765,295,098,528,847,837,463,391,362,446,076,413,567,954,538,345,756,537,917,233,148,833,559,161,583,099,846,512,891,284,322,384,227,982,032,696,386,949,503,477,093,054,559,931,523,595,782,923,316,827,439,835,272,561,424,915,702,665,915,441,964,127,369,935,011,343,997,226,089,910,693,792,864,991,906,808,779,508,874,522,362,587,654,260,576,475,575,506,991,191,294,647,980,200,642,021,002,159,654,240,261,351,155,539,095,124,069,338,546,938,015,594,179,770,801,905,660,378,884,584,883,244,601,887,379,169,317,986,114,202,044,700,868,668,060,500,760,917,264,065,806,924,625,596,422,621,303,144,280,492,179,580,575,927,134,043,868,796,017,323,803,524,273,385,912,156,475,240,767,495,498,545,144,620,208,152,825,070,464,881,112,607,547,697,897,991,789,670,847,279,329,814,109,235,268,250,032,859,818,409,174,321,605,299,787,405,414,420,008,934,885,903,521,070,456,843,558,791,979,040,599,697,540,986,602,969,638,733,358,134,710,222,207,200,912,256,587,855,782,210,540.073425716742455296
$ 1695620275793391684041260557293492289854241581837424112636077584959824016089242875475778933393853331763623001776821666074415941758169421428973021311550911791201009024344257830308517086275769336198475702834558134164967214754936001545065565132775341556440540719075559575045872074144031925121374894084079824199166335689838618784241113956488995842100041760210616850371314958353628359168221266765571333468698623771781470419350764638803395349217131740334648276541302023220961086856042795764094008467014284688123228412105424759631265829966553197329763706689075159505525776617568296599341130514464965145857427808050423216910553699362044372008187998629133985602676181617641277084272453449426913090241911147925233327153660432611315042813827652983991812219534871009101380520663991247298978469225962720455046158240043848368040070722234868236284220344310350613567631509936275888507059796461774473027586327863698441409562677972894900149600160570761298102260786773186408764371462732905985216428324698134496197989280295503406492484750803634597158443059962704421758120605732157185655353895773015634503142101540144852100230448835464594504087101363514962844348827916487333357161081297750769361276084119296891875278651824305235485488791400913446600602813477535900697994993283762210411214197667276566516218327802906974541652886784899124834625117657706668301295713552971275684744333128748910307621537945397113902723807514664723417731495182311186018068979053277761589243602375612297071475062729818048284327429120561738910298818090952553534239213793407798297612621170133231594362006657757653906554874141206802434010392294575516763282292259335279056307713264074946140182869421922145581235292221145674183616746183142602736919441203227158932263885836799622163000560962707024817993289110228692796776738886277034427731839524128478812209767352572268033845398940018025800016976319232783402329783093767047664169276801302917462399397093285501352603520142656970885583057630793463315413326468316585313166276484847357410713852507968962839469380398621462416236167753638872202483669010424071174914817623426801849700394607839849391818693599984771725047336755872048129241762027190342559605666696347055482591277125697774605025344048233997448727664475177093733583572960186467435748761668361889314003650516465529606662013475002311793088425148247357391652953455799853637138949840146743931784220898797983145087194901914528890666343294362023468813083223392560802276220055280654868518041354857962462655093118242792864724456152749494165113930119059888385643305878273133597248940025789202469748956254896183124629535479975044802308182883300206319692061322035736464961768452104738503803035776890215683812737278245261974543570216175539218360067312541283730980097786923011253726358042846697955145800203458160527948928257281716948104230898342280636297649358257615566504202333977126243349964116242793431560050491455423700816516368268189256265612951320653336411946842215861563848971238251585687669665716158500493821773499729244951702908640134047079460582256720466254966567689726191199731279674397215494757974270897110441528001131430051645001137528237868418465528146111177276755364554755951719613650482631205844620118855989361911614778212984541640161754584797325562714759494376431217786973530162570448515362661827212747020015693963284345495234895716894294087001878546420454044608304730366387593961306226680419488784303571442256159629208109350175659452475275812556074654841897997750076260936393954181886993464129194644814218698669892267631105294677735169476065980534304069302161541391563977664201238225259472530747029224899550644309115843222099653782118365351440095750709840796391408857207520849016522746096002300113788465811835600711778386659774798383748391267345160659966174855605376742824294387575401399871237371999342471133275211540818545495238413232854259709753078974767142385340578677680481150612780033648712042606857445890049076115626699275486340400079863011084639167076368543980800063217030793418796943326923130574597706217060307990766073376501173838318347307391854969425659620537570590125299173920868346338071305435638464665899616328615118800286388224143817922276467993921100317666366118138748352247050888208178743180588553626580359374690801647247896663129327677520593991941033237204817164394806856062252885045050992768691484086975445500288573459206533659193138067768462670720356521210070103754784044726168058598320763236393556513872359335964290671682756085837460489327115336556470169643577075424389814878151913252797273181016490664484886537321870987691381258737943804979886039446263163998009875559789765301533823816989504161489449119603792317151339399213035491711005846901291286606655918672570253595859447338839877466110618128501106439898192602084454751323135782835159597556887648340073216326183268841359283210798121485910510902819377126829736873615481078746073600183120475231538487859495936678262396861308980814597607792731196840996595909242747540972929857674388811801357083223730143520724822210954467811732203346604003595210324487594482143894675535633302863347604804278142107427685859820519718286745005748845161704820773719173897595869989339051370897602086942783317537916918849574799442731826986802335216886802924562285344924666078598554027185954652882769922830376653108525747391855352293297393384243211328186560472512051094097495545059470908332688817374648445683195600426914124167203312620739644303941008590850461945994346298664350764266343497587711701564915723378594521356684174101043965431777240651695717500792290307702127831421967077887649095489664588125527353379017737486999483521641994938714884888314025049339263005925406482852121373815218098294803063131948410672640054227835224186280127624736313789106787634379954188175026071514056099286672882303416140474675940754927781396012067895582759626772017734941596703027541983169461391890396098526021879255803423050706210821658607584888586836879543826454262173285012917641466270615816902404079016985187335161070378612307327388563851072032583260988253070046747286654124941789202522773863596059022428132618632645338719277482605721789047176223149940901862384254436534560583127588873029595396798103050698233709729847191288069611801328180064971387599008541615321158944883989737933483002912728776944109695211539894077727264984693733787361623746200895594377677122089030310411894518108348614844097958378601141453979149601668349554211065377891938110638149570231873721941049819884445514792817676352032584863361007605897226834215577690431541316904375413375024162357390765140384071118054803631185549673653507522523839615403102331692222996739319007265886119209031512301193628190928474579586109319549610122286044122738029287027016329417560073436660243882318460140252197844412989885653470914671031117307086309322996219784976327204001308392890763880963294195531099834099828948786706097472805955750318777494403917820118648371214865999494136415658398732715919068090766100772898964958054986200280352643086735549487330946939334888461969259997581320958080023709593304763283100732849210593102420450576300193136809222743025232907718421547533857265347919256535261406125285378475051725149235886967498823021315594730272537384855375966688421011424971555248838301576753207585939821590894094477675339942362180799444898538970489315088376609633794692219262865634327153909271897011197661642193310637379067804986172221408616759709808439110897252862421146335864731173229528157103351541641073049488594541701568477512592510684358148877420373374703658282884532659962012059741250487486662113713186278862886480353125943842922341270786521219535409721525763031512038486932093261028081693547506831441247561629721109537042572524982909952058723222078546985098994957546748333728395243857254646435649400960038464726476536229442628672946070594131610737016420763799321000151019303735992842705670057566835541423510911249484258514233449422025351276670666336605189879198829289795682015178731477166668097378471189088569128072152027478062183089582128809814063295319349262014815731296673545812435613726089273780284695675005766555985042334621503214803513984513258346937750236122695298961697223794954273841178125251420438742838509002747449245565032185646559520059438253709997271686443622499590186535289112051114830202825015151721825898917795738315502742365136384894857107813727846305384061101023405114349838955116107910715868724842083984634580098644724383733359052395274211259480841226861249505961432464062382489714077672377100244890751411887330256842491907027750167890820687119433374442264430265300455919953115440775866600952829961539166759427231175100011859584816683813385869542329100974036258212545639818479803930563234247510849162301441179266195816805351393575362574715824448917338244498178464080156708332600166390218397916850916673719768659649774638625507180263199938327356585663218493942083113674181351392788578898507407215489515745904540535850006524822803640520444761458321022669614891786789377076007214316329492105623138892618810863042227876447171611707654800902783951888032802729663995801182615931673314616046042965452007798547462060976996919822287473382134109202219681663174903771935424078934142280932202835321681327307902947912484235767959516763120333762219866489484805793906828269800384224932900475245299219542377257481533678532428428028259124307368197053638221645231877450828954271918441997678066318679284504384547899326844462026842362162397648009160351028428105424048509907466275906082366847944036730411587722655588560918823526587961799509287935909619045473397432912123035649770309413170234316207311913587001688993836863978819095228258834647026507614809082551442414070873120382555327658220003310003849645262452277116922580329283768738568550554677786783397013954027064163793836196551121578771958856609000763914200863456756620554613577498366146234449779514594621885854839283822439457245899284070075619410278176044488.09
