355,221,596,851,442,102,653,048,059,806,470,426,450,196,643,958,898,227,534,636,434,163,901,594,430,910,381,136,145,265,249,871,285,471,279,497,133,920,922,385,360,155,667,372,107,210,070,526,143,839,310,195,445,505,479,556,745,030,966,640,370,051,586,998,730,803,924,303,595,201,455,387,422,748,577,931,258,333,744,541,288,258,068,857,071,562,036,977,009,325,351,689,387,452,707,914,405,770,309,459,543,177,404,589,691,633,125,770,903,450,345,540,687,014,099,899,988,107,875,171,339,540,736,761,137,158,817,900,735,591,289,384,927,397,997,646,298,593,971,035,966,506,387,483,705,783,837,771,262,584,080,361,342,545,435,662,361,438,799,110,418,572,584,157,100,110,683,972,417,957,937,068,718,932,891,607,082,268,952,484,119,723,840,164,958,678,056,404,915,898,060,751,795,922,025,090,580,244,014,266,186,850,247,092,201,356,732,546,129,325,724,420,795,369,817,390,016,972,813,617,153,941,576,666,043,008,076,054,194,949,830,624,601,709,019,829,459,583,715,374,140,086,884,032,376,528,971,248,766,533,590,506,692,732,784,766,675,349,087,623,486,186,432,179,659,622,344,110,683,157,504,324,295,201,072,477,875,055,650,466,550,936,069,391,091,626,157,145,387,284,785,211,325,166,193,027,544,020,502,147,580,868,240,546,041,898,448,871,656,927,940,551,114,881,175,395,691,269,303,097,454,570,297,936,285,746,984,522,684,676,470,232,076,852,825,404,097,020,277,478,983,966,954,824,669,857,788,107,959,009,940,955,763,822,386,323,254,902,448,349,533,627,053,477,366,081,659,456,384,544,936,363,729,739,303,075,220,033,176,689,700,646,545,443,150,416,972,345,217,213,021,130,210,645,726,504,313,431,251,120,352,141,270,875,803,796,714,372,243,443,314,383,605,056,431,131,593,267,082,838,457,134,995,421,362,496,673,802,403,481,608,602,017,062,663,500,170,451,085,233,216,691,249,499,560,258,351,926,458,366,336,903,370,552,768,925,181,925,774,633,199,457,537,101,024,885,518,504,920,887,079,235,733,170,734,600,695,943,148,254,648,837,583,280,748,569,479,215,479,674,576,717,333,783,346,198,108,262,302,421,193,102,545,730,660,534,916,298,622,344,443,461,985,594,037,695,581,194,936,254,084,384,206,598,935,816,525,234,068,115,046,497,518,068,760,189,970,178,604,027,655,408,480,979,340,147,540,765,206,196,451,711,699,987,212,007,775,345,990,631,309,017,266,730,253,270,827,289,048,154,446,842,375,568,059,704,534,222,493,932,743,845,094,917,051,244,810,894,821,943,166,789,940,767,972,958,462,656,457,091,492,916,157,797,671,350,822,499,993,521,460,217,963,628,123,254,614,975,118,454,881,268,582,286,854,676,437,856,978,173,056,639,605,609,612,853,972,891,918,156,264,994,819,144,126,726,972,619,512,198,901,308,590,735,927,618,806,076,113,234,149,519,344,138,529,522,486,647,327,288,793,204,519,921,664,155,375,706,458,420,311,654,098,524,664,998,131,409,242,990,318,325,296,359,579,737,437,135,011,247,359,321,515,200,907,266,301,735,210,323,530,597,295,601,003,253,814,805,644,646,975,875,182,218,528,947,856,519,011,621,885,460,668,339,664,690,084,506,887,077,620,610,976,535,699,357,810,354,339,839,639,657,866,564,257,656,189,352,837,916,204,020,720,842,280,303,104,413,869,738,822,364,041,665,028,398,094,289,939,130,396,991,216,570,331,635,815,050,723,018,651,398,055,751,055,239,959,482,203,460,069,895,596,976,639,554,036,676,616,016,967,066,336,290,422,038,627,636,789,651,426,554,377,705,070,993,136,567,718,139,207,140,230,060,369,034,233,043,156,103,952,032,940,670,740,849,203,044,567,902,228,973,516,701,117,969,911,101,535,298,676,285,653,869,253,418,479,144,481,045,235,472,280,069,184,785,762,945,159,062,385,587,979,110,686,057,893,542,582,771,871,404,705,938,922,801,546,351,918,111,330,591,121,901,806,830,998,530,353,191,239,495,327,541,151,585,885,931,263,556,147,068,134,039,889,858,263,953,798,194,331,576,009,817,946,353,517,439,939,493,315,273,690,895,362,025,486,824,423,139,498,801,331,753,907,244,255,457,067,740,360,375,413,078,912,636,031,084,903,543,538,157,689,733,066,088,101,534,764,726,561,343,712,979,172,637,945,057,160,715,745,063,953,888,107,562,737,633,829,690,373,670,217,843,414,550,118,277,249,526,274,281,444,971,825,231,542,145,080,869,511,146,627,081,875,759,818,927,718,827,815,633,260,830,035,127,469,510,709,191,978,835,647,249,204,111,733,842,235,989,330,908,163,384,336,257,378,521,175,802,682,572,556,405,741,366,402,710,991,444,443,291,037,867,202,831,906,747,560,395,895,866,010,119,657,653,259,805,908,763,211,583,225,360,395,025,954,463,399,918,770,122,991,275,560,949,796,945,794,986,305,465,767,365,432,347,214,006,063,684,936,198,384,305,224,890,410,816,715,083,792,800,674,829,562,462,369,274,137,059,488,305,644,651,372,220,070,399,374,705,207,344,218,973,070,865,199,675,226,106,785,449,022,714,155,455,313,469,524,531,340,303,280,632,416,353,129,657,463,555,185,265,324,949,797,748,192,340,452,578,097,133,929,114,883,940,239,994,387,744,371,019,661,049,889,449,117,624,545,457,849,640,453,151,960,995,019,818,364,656,467,758,623,236,161,745,302,572,941,041,981,956,983,873,210,280,476,484,921,939,109,167,095,999,594,877,309,913,547,098,155,790,843,521,374,360,097,525,201,446,282,673,612,123,308,760,036,030,606,823,109,595,680,422,718,176,197,613,393,006,000,514,091,327,207,268,784,418,376,832,592,727,629,928,693,827,317,532,993,472,276,448,763,720,015,298,557,578,695,492,185,485,210,380,424,962,413,110,685,507,889,038,609,748,798,025,018,163,371,727,056,386,102,086,466,674,622,793,525,493,568,194,479,212,605,469,091,710,381,078,375,971,985,547,025,990,135,322,327,672,089,207,340,190,869,699,379,487,912,300,520,165,358,150,810,348,613,908,712,266,076,480,064,365,018,951,658,611,346,714,674,351,697,710,342,454,781,460,667,436,307,462,998,714,058,677,601,036,451,799,719,261,882,754,473,985,958,578,880,309,562,813,856,550,717,323,842,860,699,308,965,790,983,438,544,233,474,305,034,828,392,438,444,949,581,884,708,849,857,721,255,110,141,303,702,323,539,135,334,546,467,828,387,372,183,613,902,287,980,773,165,338,162,803,412,882,084,771,043,755,534,100,413,881,220,561,916,271,372,442,232,670,608,773,167,753,400,474,621,923,849,691,612,409,143,886,455,138,776,845,726,889,763,189,487,111,198,616,154,681,024,052,612,809,650,095,240,374,701,802,594,063,807,905,315,065,771,745,807,365,964,642,700,001,187,941,893,331,432,330,123,863,124,277,130,129,744,620,327,472,951,994,837,087,224,875,140,988,730,130,052,331,878,412,791,523,067,773,970,319,419,342,349,976,459,872,020,268,665,238,936,257,194,353,047,386,816,730,915,341,388,473,260,458,631,688,281,023,600,544,170,689,576,558,580,644,447,926,619,242,157,331,549,883,368,503,232,123,890,166,022,761,940,972,206,727,659,818,372,139,671,809,676,031,386,887,355,065,385,570,419,842,589,758,337,692,073,616,502,546,035,278,663,787,010,248,350,833,399,339,366,631,373,285,994,464,029,065,576,652,219,660,736,504,947,289,508,045,009,677,576,207,455,585,729,513,127,869,400,489,031,183,478,200,702,202,420,029,753,815,986,081,568,313,921,641,263,455,252,774,172,297,012,483,983,025,846,687,388,149,033,022,812,327,979,133,209,954,158,055,930,315,433,775,131,617,271,492,819,317,858,414,572,500,295,516,910,316,990,646,860,828,380,598,718,363,019,536,632,726,445,517,896,015,709,434,310,709,498,572,673,574,991,860,043,865,341,632,687,799,814,976,751,786,078,282,575,993,750,960,383,723,340,408,032,891,692,331,180,953,228,618,165,457,536,647,966,365,982,543,457,387,150,787,430,729,027,373,439,623,188,853,792,286,159,311,141,906,689,486,571,956,886,243,664,798,493,513,264,693,151,460,858,505,659,929,477,794,062,967,802,739,739,180,813,486,319,893,149,935,051,370,255,382,384,492,427,811,033,287,087,067,556,893,165,358,765,170,793,224,170,996,183,138,682,134,106,314,965,992,506,772,337,347,464,490,974,140,278,465,921,062,417,600,508,251,972,381,216,302,752,977,318,473,759,824,640,296,867,225,262,355,004,589,015,634,215,470,185,869,181,426,692,111,997,193,874,338,537,650,170,628,912,692,698,685,516,340,889,868,878,652,221,095,613,651,292,856,114,315,367,198,656,918,036,171,251,668,693,993,920,361,519,435,502,059,735,410,020,120,357,014,117,623,552,530,639,168,884,413,465,942,370,548,151,093,672,594,514,167,927,454,681,273,218,024,045,716,844,483,706,841,113,737,098,725,892,762,796,426,915,866,923,359,134,605,588,416,102,192,349,683,953,317,449,646,947,485,398,455,622,207,374,594,023,722,396,733,214,107,732,545,121,065,733,156,253,342,039,849,214,920,432,568,729,520,108,154,727,469,541,314,650,061,122,256,882,391,038,446,866,412,677,879,117,854,366,541,219,749,222,430,358,177,801,238,990,488,465,674,800,041,168,746,556,449,993,625,334,262,005,657,027,594,475,624,031,992,555,841,678,287,959,038,884,449,521,619,883,518,278,951,830,907,143,111,681,944,383,855,972,715,890,479,629,617,149,137,855,596,337,817,597,309,553,438,542,339,539,862,859,355,154,897,157,559,710,459,728,342,945,672,810,218,726,368,048,627,256,163,112,627,835,577,596,722,777,933,438,044,650,428,974,701,626,913,364,904,386,259,331,842,515,748,924,694,212,309,723,115,182,412,977,915,906,944,075,276,152,024,505,154,117,323,540,622,853,531,381,748,281,472,156,649,994,822,586,488,574,400,552,345,061,968,854,930,079,563,299,201,822,769,919,654,342,890,053,023,381,190,802,659,704,693,329,492,349,918,905,497,589,051,075,169,952,914,111,926,656,096,588,663,597,005,561,198,186,249,336,815,862,850,008,504,323,302,921,474,697,937,077,463,705,968,195,890,211,129,935,660,042,954,109,530,283,117,744,745,771,376,413,344,040,678,921,199,261,339,113,370,026,310,686,279,219,353,719,027,977,498,321,137,704,598,017,802,061,543,714,371,825,708,041,436,376,965,187,495,828,664,978,796,986,954,480,807,049,309,481,202,061,490,489,429,996,940,896,680,207,123,544,305,427,325,239,025,242,341,632,224,946,941,505,114,370,007,683,624,499,742,989,530,354,029,371,048,455,172,854,190,762,169,296,776,172,595,797,741,949,575,112,258,840,667,699,051,552,021,889,496,627,418,514,672,692,106,414,996,704,529,622,303,259,575,501,625,951,185,460,043,225,563,400,188,035,098,111,738,282,832,479,724,097,571,663,863,470,652,378,956,098,159,749,527,088,608,417,422,490,667,957,345,145,394,271,311,707,055,240,356,682,319,152,075,186,356,207,887,061,587,797,823,407,796,542,700,245,381,552,183,084,265,708,057,185,791,301,903,245,033,559,245,896,184,415,917,115,307,348,558,607,261,456,511,119,058,375,513,268,096,943,304,918,950,171,939,528,753,727,203,333,958,160,752,824,280,366,292,902,855,227,050,393,895,409,177,126,282,893,004,763,572,744,931,361,286,066,798,033,013,522,346,539,101,422,312,416,174,328,646,235,596,336,354,074,706,774,871,833,661,905,437,604,844,691,469,653,073,466,489,748,958,812,996,141,735,782,396,603,929,852,843,179,411,099,597,154,795,976,512,861,222,356,676,729,303,064,909,539,115,291,144,961,987,196,242,195,401,582,596,775,436,400,142,121,908,359,106,126,157,771,806,591,668,454,108,812,147,532,368,968,178,317,230,768,219,348,791,847,910,889,702,192,816,432,045,642,200,427,848,746,607,115,299,573,476,372,380,753,531,636,637,711,590,629,609,325,140,192,968,448,498,051,780,356,276,596,434,977,096,268,647,740,845,402,363,488,157,037,615,919,745,374,100,849,847,141,871,416,073,496,403,050,719,687,288,207,083,302,951,904,853,334,328,413,035,430,585,044,489,873,598,849,321,162,490,626,162,529,037,123,025,484,199,008,740,065,240,734,996,551,981,603,715,571,019,032,516,616,494,082,323,119,906,887,063,698,165,668,086,656,184,886,327,298,803,670,889,030,796,019,295,171,554,205,438,786,935,293,316,587,092,490,151,816,357,786,005,807,718,500,745,992,753,659,286,386,203,319,257,472,101,510,738,618,838,576,018,635,356,708,030,812,879,017,475,833,108,212,973,614,505,739,129,296,401,098,346,642,565,233,595,864,894,075,943,637,979,862,469,139,186,943,189,331,775,981,566,338,613,871,075,895,254,959,533,106,650,325,862,242,908,834,585,988,115,229,573,262,427,330,400,510,013,750,841,832,691,017,055,865,126,984,678,640,674,909,234,421,465,367,386,923,372,664,605,526,103,838,683,901,097,588,972,422,437,648,284,236,785,485,547,409,484,031,017,060,247,910,285,061,343,558,073,718,606,322,056,418,796,556,012,588,599,685,511,767,297,606,763,606,127,836,567,157,482,189,173,530,399,753,181,788,757,838,008,642,715,944,509,814,852,209,137,346,810,265,295,986,196,116,734,824,249,157,432,931,231,603,899,645,660,961,779,889,876,142,861,672,705,761,382,833,547,773,455,719,524,698,093,611,288,727,689,420,689,749,734,445,717,342,278,749,438,286,635,251,964,716,175,134,599,478,925,757,259,644,545,420,798,738,812,921,068,967,836,694,554,445,105,658,613,166,045,623,414,623,991,403,718,082,825,266,732,237,404,898,601,219,637,375,416,782,686,270,808,192,619,286,635,177,348,994,878,606,554,015,255,556,742,322,929,867,432,742,330,011,472,994,123,169,979,463,915,016,422,571,324,793,716,367,501,467,250,084,287,421,325,003,507,052,075,828,107,002,532,928,494,765,771,179,823,678,741,453,455,586,788,007,968,694,169,139,121,733,314,659,960,135,166,246,769,623,709,043,675,769,539,325,757,798,932,617,269,473,917,202,205,863,673,516,449,680,220,313,431,361,535,540,735,545,485,393,536,954,999,237,705,396,896,024,302,661,088,106,908,254,930,307,280,579,420,029,439,350,843,645,976,662,927,134,857,768,660,935,376,357,567,256,758,639.47749301449392128
$ 2707523230233867631961520297918351623451403455611222434755153043096894567966865834430244964590628125378618078899222756552850124418343222429681802038308988199894071268362400479944669448666911666838752931380556811768454163930047631418901391427252383557440965379228675194457161493125418572327889405471777221429644388787006458698816782126510133796839812793889654494412601994686562965906735575967809172763096773615271411910335227454847328675679777602473954979063757413369119434642103126065030192320244549006214433908671640759096765613243392877030784830971158084821894317710970894421627663413523980694511341869804231075995672005805719639756342684571475977234795284966312362248831010002484840311292654711498929835564670681418548442292580268479500859672590872414023040621547861675483547170413792300203999060523885643203940039213083749346423178222985123755142337515444168374286321944076524344637610998317484535169952776212818534854948359667659372502031900719256084755664215455921485946288537263815975231786354745563634410175909439737683896665764717052378707927666778865856863772779180830156988922872857310049812405551387574057277352489782082702964553551457963906053977873054894862506191034694205011959164824289964535029769843917050271036570814708566399912915941309231958747322691047223727657905883451897562459038553674781075079758131519432877837748996249744251949869106248038116765830914278782419869764560217243110053718721379611647161121630722256287941640638061070383929820769749475936510223777624033497683538957719638535951454015021254735354969432481669980545120326188833296898525996627051167418722998540697551797105951013471421941991486445001746667426754501547754526239102447474370588606239962963075339822559794830702463656160655084784738828972413533358158880223008355132033574666723539091282842531909176270521022199888169133946101036610337048674498348536454057695109577749602478021625124741828486036786883739020506355045118563965805207458950314919310085138926077615719787695825650596226403642485390067069287936754100794974054735487468736115706068393863467977614169361277831388425643437042183251177032292038892070400991902665841098722663720191870697829594120000236494691854227741462788544081685652485948142385422093423062914200047336136814518152446103333817851827539208346689657098979369180170160693108098283892923292612601404974891155007519968146691733429922136573191504090549151957438161618592243102679609121310382934795441433327587762695003024049725514816155049819976838179339727731711380311378113124500815577501959590670801656412880017285767826536352473344961728420910553962433034819090493670385593251124875689075350191975606094952438204687290414458887060113543541333053798232752761230606908521847532446211894653189947205420835082219887067618865606109054424901365678200280816119469485351561128668452013117689218906814584600078773688324132635019348090849457251785705622091856095747588207647201615339441442373775222102419281512142488995317007617731273475558026171629018641719021132706862055766970648704719322142953411446912965438170465938760209432934098395009548961547547589047042369429230003296074309457917491747086337211290723951509157250264493961169879491325286526085578786947073913172619210854338981400767491594953028429798846471221945431710445923089963578257830266901277831169323526046064607682885603430014171417106729623048937691137084495790410884457860974369662028462757867140200498917601047773822483067507146428471818198322833097648900838975196794830125177985653157821045638836115062119778216788832126330385722309860040462425876092746732904759638948075978752675876277365326606104210563126403463751274311511002156780128863253019253821573867202984107468770663041110601880362930161868752749901810523153937196033453805251600447644640451867667991721766270214651830896161019044763295323074255852819771989212476700196622105454284629390819287274459703646974324708611128367917627098876157905232983636117590133573266729009984605777987887686368706248384641803345435435914481105821765520595738353268671926426937548364576375603436721396387102408473853185889066582526360362331446712201880609100128428982126270010813983343568325402517211943912116046183812890881042005898204824066900982959355559539127152599194708323545155513654222758231298431532244530245416349999241583746091672479819322834688308749593506520700568275023702461261038410850411097690994745834402615591980054950151593015902455530856662346965171054506946383959717604659863116353088633688954517901314426010161852489892893642331126642591576709521816664132148076993237408934839622773575146422828961948131369416515997665973132510824934806954350260846059785067758752548219306593796099460461829160712749728703687443710808721225419406256493986218540852475199360487894203881863923702777120719638012562006584390106797083963882773805847501640643585182337541073439147922840098509895130610746086406096782808675526126098254847693519718429572038420963156591005362930425216759768890565370100540372264083866683960512575629796220144360748805030502610051431166176289383798691537148917123453441926826532202313517079571636151450148482585655038271148853130743649864787877132572369221070567111607274474623567822564375759624764468014332526891695311455274120903348611142121458473109286132269335497739842611282257684248589358551203586504076169157484995951498328520051796868101439694535600306828050473817728549734839452536838734978627521403514743195054962477930808951741928224522444657162719529813599109490737800321127703387359074884332934880950873658847008192656089276912500680046874716531496219647000183093684931372941760130988448463168855629150291529432593579111294626314417680068514827795899348781402307238179813412050464167130162551692688538659651717740821899439869213367527965102403014361084285946792962418430530918208655725852893945045906055978185688726810868950097990515824315205757526623946458925663925773748029434572988890121499280193321193462438407573758255121535371498589527177816522565200173276921694823915367849233976246530589092263219402229585504076175084197711914151459830898041949546341368562903910635413682497423228602702742593952591979609429798735169939091080203887642141290583976787989081151369318522924220095659668377793760647796393892351126355014372630042441861507914287475883125792407392950844649373747015022684594169528437747234660399797694031317399996349361400092945846282420486946543025459503380504794189205690707011115201295846182478650395079637446653785771375432303942135929541280177918558365904111910614951552990415803244861462822038009788953739732206612322719468785372641707746655127831836645735338456618191104311000890567218708317722155531716158683122937547016713955174698474161047725205776803604610242277649649752085772164003316020918735023457405639245163275727242729045714831296089181001276955632565667265585229001022707970390125735094530243509824410084911520772716232969988053760032738438655035327651260467775542241868072115627077265742287533754578352814524737267047326627206135759185986465000244340305344547176333683801631315077632845102092533855019079303558284002054839791483709577962577978788975158757841893752763465091308272216252473450956753203271928709679467186603215230224408482271528475911722254429455365247006735983793121340968455419225242688077374003064398785433252621764482477360696031035217267635883587660457866704144633604320667444152795361083694382115459583392741102510787566006899313735876167288491609795160096073204664409106423756619882241367760179900121743469710489150048523432659895368956317201371815568896975510633073285289444779713101179547408259542672448494481782626743148825578457837617506844940135863521329799666755803539248684270670622704365547499311669385615497242997029078294305128754005322212327206292466796694985112818088175857524213769925321253730635278621696204021368439857912502636726993176903955019572401501411613055040614446951821811505655181245013138027520629261984603687309785921129791957236489345995444869647137915953299993688631304089253817130961395415363469383587572093513007349265377738419086263320272457935890673056091427772015412912745176016848370169903235018367626877239498962903290772783356055258482706175947519618690824637215192442064698991308112842355106795964890091467143279597540797388469194237982838700328631007327270936984406751684343983066581107095639968533160198245764402181857452002385344369134852941635059187972480345704947484125066927809191012390520184559750913345756714990717592215801420804872390993386223556408487352388892015816824456417019235827971672561535272449495883409983567415828170190328771198236118923529488923239665338460624208868687281712979739910135632126603780569309531043318111659925215986982624257101806746257968368839989701923684830148898464180109632153896573885888165283920301573057117157782951044847822478561397117447945331065871739250292789031125094798135352808480071205252628488016170735323962543484857155542077855417172164927442623166972738023002437361468819765272021366709211064940656861381834502875614157429080382382010302724723572401611910731365708495394821506809575359043459131706747792413735235745290547370044817713896727775973747962435536937479565331988816360878063257536111203947122558893341334750154210720224143885184693503196650381595258225168744198827638807169370158845422260232331869581516902541808954387826417810943228220431221531309352914368549860223062433491002362320358027645209574615887450241535519879700089529462425848895500837461913111754823546319630523833232002389047103180296530372401432945663851221484708376677841180264144050710469530297285002049896906184708434827271478149784332329779644585319862644336685486471815968515276158756723587264117278316642624813378915528796130737954206036487945032210791636063680789882234978472161099839595091263863510636958928557264703355980523950677956356081671759937967170825486698917712583373139633.03
