98,365,938,867,516,037,339,272,482,389,253,925,730,761,723,765,737,503,384,775,818,305,930,036,726,967,382,846,130,031,821,149,013,993,533,882,118,705,260,093,739,528,763,333,480,155,079,615,768,724,321,295,020,497,563,261,237,106,615,699,424,829,376,143,995,624,677,238,677,729,334,632,457,167,159,081,479,154,660,617,007,565,111,149,410,154,495,520,828,668,894,496,039,189,021,800,258,432,941,265,121,441,601,567,806,272,504,980,589,120,442,425,007,016,970,482,777,545,619,541,844,422,770,728,872,224,908,615,852,693,995,144,342,405,024,033,578,353,760,064,801,926,987,514,928,178,180,644,121,736,093,936,007,749,407,765,073,918,011,136,192,299,973,722,121,110,506,982,799,949,189,048,047,687,863,290,988,411,026,837,604,472,882,189,977,011,100,974,248,536,199,624,941,551,304,885,306,471,717,390,879,491,850,231,488,701,073,405,231,264,023,937,022,534,131,616,222,932,977,393,759,234,466,400,125,212,097,338,519,205,534,258,045,463,364,236,994,467,575,695,739,837,411,266,203,225,646,349,714,645,610,795,022,658,193,249,996,535,462,820,923,286,651,557,499,122,672,651,609,377,185,351,008,100,272,119,577,921,252,646,267,609,327,147,148,859,540,976,452,617,194,398,011,946,490,890,557,755,166,051,597,683,435,718,279,706,516,802,500,232,566,534,273,855,461,996,589,879,358,979,758,054,450,846,453,681,723,816,383,895,758,393,152,859,565,786,768,896,959,209,009,855,571,467,877,063,907,180,481,068,013,720,607,188,209,993,326,301,475,819,437,124,270,803,019,695,904,378,627,845,250,736,539,798,670,015,197,975,966,563,776,414,747,308,716,499,651,511,137,943,791,381,412,655,648,250,483,857,788,560,132,283,568,059,323,671,628,705,669,330,555,887,531,870,803,593,843,674,724,175,866,284,640,573,618,372,487,231,689,334,690,030,471,425,956,311,425,486,774,873,823,492,861,936,082,257,327,071,906,552,724,324,975,999,208,457,252,404,578,493,705,003,568,409,815,568,638,043,028,961,952,908,146,434,077,276,958,157,153,313,198,014,638,630,665,505,217,435,496,557,731,459,960,136,656,252,484,502,549,191,681,194,436,009,820,306,367,240,668,496,034,551,080,049,552,649,759,003,699,764,163,993,436,500,780,696,441,165,393,892,097,166,727,672,712,562,928,223,058,599,737,875,955,309,347,400,185,101,948,572,301,218,341,927,354,185,533,602,669,219,336,696,282,301,339,291,641,478,194,535,419,809,966,638,030,639,199,047,594,740,350,928,333,199,287,253,837,678,787,628,258,094,600,479,261,171,513,559,505,894,735,445,207,476,969,480,884,877,178,500,146,894,490,599,944,857,381,583,980,380,402,866,412,052,316,830,138,356,464,615,347,106,372,552,557,164,604,656,265,738,080,876,837,487,290,357,543,488,425,458,886,203,132,474,502,494,819,610,159,570,923,709,775,202,668,070,995,901,579,470,077,120,904,209,370,834,833,500,319,220,980,510,826,829,620,484,823,963,293,500,716,884,112,514,501,029,539,758,030,732,905,213,704,818,387,697,103,814,852,577,510,279,369,685,593,469,940,396,804,657,746,881,345,683,250,513,160,727,058,689,559,529,071,795,054,344,201,527,220,442,688,168,916,872,965,780,491,316,330,040,702,813,150,354,627,669,655,247,993,724,028,411,469,642,661,912,146,445,500,598,040,372,888,146,726,860,470,468,385,754,001,075,763,966,515,924,377,261,328,564,605,335,893,236,077,922,398,547,943,811,348,887,118,119,947,158,838,447,588,997,397,482,668,219,105,462,339,526,382,248,417,379,874,758,739,797,464,940,570,937,378,975,430,574,331,757,025,350,619,729,591,030,085,052,463,439,442,436,210,247,615,909,707,285,070,821,808,823,072,138,057,651,747,795,120,278,022,928,685,247,871,318,685,795,795,426,641,041,417,861,521,228,331,796,374,791,425,629,975,087,995,871,924,878,653,205,394,637,276,190,300,903,993,161,281,453,612,267,421,072,662,613,780,246,229,491,498,191,224,135,715,636,227,727,300,142,019,384,134,774,802,377,817,552,893,086,661,981,564,647,397,662,194,457,906,384,427,301,125,137,603,482,967,200,971,897,829,464,696,773,586,159,868,858,893,436,839,591,916,996,015,788,940,196,845,752,517,233,667,508,555,791,473,992,408,374,992,925,432,051,666,893,018,080,812,141,511,970,571,474,131,508,506,279,263,108,300,852,477,352,489,433,514,395,609,353,332,117,192,894,292,747,797,893,610,526,788,115,966,795,377,745,783,809,067,119,828,412,420,601,135,928,959,247,869,959,754,439,562,594,687,690,021,667,624,828,650,078,570,893,225,317,322,573,087,279,976,158,965,903,082,172,267,858,183,874,118,353,072,473,267,019,006,677,828,531,894,629,219,863,700,276,060,815,919,530,130,555,950,421,573,311,736,615,397,133,621,373,969,604,643,716,883,807,514,222,203,293,338,035,988,251,366,313,890,802,959,777,326,569,517,453,131,304,401,765,835,668,449,737,222,218,123,251,636,811,110,561,301,783,300,851,289,384,624,755,687,313,291,317,167,192,397,990,099,967,755,303,408,518,770,614,505,158,405,879,222,707,111,461,683,224,928,420,350,949,400,059,557,059,160,299,984,460,821,541,108,863,198,971,148,305,806,074,210,692,132,097,523,970,339,885,044,688,852,029,780,538,561,950,319,679,577,761,467,598,312,070,347,142,013,027,206,572,453,282,186,830,059,990,581,030,848,023,357,394,833,536,465,508,854,272,551,919,152,891,356,074,140,033,757,988,247,582,836,271,436,390,298,821,520,991,059,924,118,298,419,235,296,277,245,293,153,520,413,099,378,130,661,098,769,279,096,582,891,110,485,998,521,788,089,783,834,089,668,541,709,654,187,794,711,750,431,536,202,276,472,905,417,515,080,162,809,623,723,710,965,804,011,166,745,585,213,113,448,703,321,114,276,630,035,684,020,207,877,360,940,871,653,443,342,788,129,947,458,047,090,368,233,664,062,081,914,542,105,481,186,018,315,734,656,380,353,436,555,111,654,437,366,929,433,240,162,159,370,168,649,362,226,466,126,874,070,511,540,170,393,654,089,833,795,982,682,164,180,326,566,768,685,576,953,922,934,627,749,222,916,478,828,411,892,611,884,460,043,025,432,808,155,428,927,268,448,502,601,187,492,925,278,976,779,836,716,628,321,855,205,987,269,468,063,247,534,189,656,952,333,862,283,645,281,423,048,130,573,485,557,780,732,605,897,413,150,312,725,771,636,381,979,919,554,178,122,972,477,485,622,902,656,387,733,391,709,553,946,415,343,637,003,899,669,066,101,332,127,760,464,429,361,675,032,922,304,223,831,371,685,139,813,505,799,855,022,211,162,545,523,612,543,146,233,027,815,186,324,952,812,508,723,437,442,919,368,222,906,671,634,372,569,660,605,683,752,742,394,511,746,658,895,287,654,162,507,805,729,156,762,005,557,363,143,764,207,910,056,498,291,621,573,966,059,181,901,133,471,034,791,748,142,870,337,190,893,216,833,401,252,910,635,579,292,333,368,670,955,771,824,863,658,323,540,290,175,985,426,281,751,088,578,457,701,732,380,709,166,303,270,060,960,632,223,372,807,021,137,547,531,393,433,358,927,613,715,187,307,471,560,544,321,643,783,624,502,242,925,216,176,649,096,701,262,807,304,637,252,712,310,903,325,080,609,457,334,292,604,593,873,963,209,789,405,751,060,763,420,249,727,466,919,087,270,337,715,849,010,088,926,853,185,130,567,452,274,910,146,758,396,972,007,478,381,429,588,967,919,077,643,618,333,177,253,933,799,348,290,756,577,647,038,388,217,471,706,746,137,834,282,854,601,413,115,914,669,613,372,894,809,751,649,217,300,328,968,931,350,153,072,168,072,310,369,919,586,273,512,087,053,177,462,805,991,884,943,570,104,938,924,196,409,979,171,129,716,254,709,566,888,384,085,914,620,848,643,543,118,357,034,064,369,023,676,599,670,743,774,882,679,676,399,874,836,600,022,110,666,215,704,108,873,530,211,793,714,759,543,936,991,743,672,557,238,465,857,797,786,131,612,256,232,565,994,243,594,495,280,789,498,755,494,049,267,779,408,562,935,170,639,630,488,263,481,215,729,569,497,398,105,035,263,874,620,718,244,282,908,577,617,102,368,973,954,241,097,157,162,168,379,027,218,606,754,578,168,111,950,129,679,214,615,338,076,441,112,562,409,078,065,351,690,662,131,215,980,404,595,618,500,888,512,063,894,800,840,046,072,525,023,167,175,918,518,060,627,626,387,288,851,483,024,924,517,808,576,257,064,139,635,577,314,997,792,223,362,291,657,148,975,442,846,574,139,782,077,247,504,620,514,186,936,455,297,670,753,590,213,121,180,045,453,077,368,491,171,454,846,159,687,807,210,258,504,240,765,058,753,340,904,942,392,323,337,968,269,523,462,610,146,669,585,823,380,571,999,978,909,209,455,917,854,831,681,300,619,072,179,610,525,012,759,736,161,371,962,840,239,440,321,101,825,880,104,708,649,643,055,128,589,091,368,573,608,432,232,242,654,848,058,455,988,799,672,789,773,921,332,546,396,443,254,702,202,828,483,038,288,602,445,836,387,425,886,603,927,074,041,479,456,733,898,219,330,745,259,985,933,810,523,991,245,118,121,148,327,212,083,127,082,348,731,216,529,194,059,763,645,783,136,583,476,587,567,714,556,486,636,450,199,080,996,323,399,647,452,743,936,273,172,057,146,276,961,079,755,646,747,633,681,862,539,943,269,441,835,613,469,874,968,142,573,994,774,817,386,546,481,363,704,909,907,321,361,232,629,125,709,988,704,394,490,283,826,643,098,179,837,682,723,375,402,919,993,127,833,813,558,544,425,717,194,389,695,354,619,076,828,974,584,346,420,053,392,077,253,201,303,784,383,581,095,907,705,279,157,364,279,535,388,547,649,225,518,327,496,877,799,353,196,496,800,767,327,612,941,544,509,885,993,709,291,053,214,730,972,293,744,112,223,785,717,991,581,254,847,102,157,843,383,399,689,022,383,336,582,134,530,200,510,681,107,287,792,204,316,895,020,794,111,211,395,176,572,789,566,398,215,441,265,141,681,129,761,965,217,442,469,840,286,321,426,009,039,170,351,095,668,012,609,516,822,467,612,019,418,927,730,838,752,487,851,382,111,184,384,256,484,467,423,367,783,716,091,149,401,164,471,937,741,950,467,568,182,903,576,022,580,998,176,056,540,880,200,534,571,789,984,768,337,073,218,131,284,205,287,281,603,096,453,672,236,150,313,314,094,526,122,842,525,153,751,754,361,117,776,338,825,668,515,664,860,489,137,821,961,200,660,290,021,909,426,906,079,978,903,216,331,821,727,347,153,328,117,324,253,618,003,928,211,009,375,882,795,840,133,908,755,685,491,206,764,652,043,231,497,279,640,452,532,414,902,917,798,002,789,636,100,089,781,899,633,666,814,967,758,048,384,124,606,236,801,829,483,973,479,575,860,006,257,142,587,596,481,973,600,578,540,927,986,008,207,684,110,999,161,303,486,466,504,788,555,709,723,002,515,872,712,123,036,503,255,516,903,731,286,854,717,277,090,382,228,558,027,121,014,760,841,962,329,545,643,966,378,728,157,120,469,058,642,766,456,541,714,011,353,325,315,106,048,459,194,787,285,259,262,060,467,889,543,133,589,631,149,235,122,104,085,278,437,424,658,063,882,186,768,009,686,495,104,427,526,977,578,303,810,233,926,480,595,122,944,641,958,707,886,777,396,533,466,111,996,258,570,687,023,294,253,189,061,461,960,436,107,607,634,127,576,164,121,181,026,705,932,520,303,558,111,188,170,693,177,283,968,516,698,767,947,597,214,597,199,831,583,867,026,556,064,336,588,845,903,838,400,786,697,471,369,100,439,120,342,691,669,296,885,925,378,974,850,906,856,631,859,374,021,025,030,596,803,779,120,838,985,296,176,850,899,524,284,308,725,107,768,242,649,521,895,710,191,128,009,188,594,039,720,406,762,346,913,438,418,839,023,249,429,700,237,893,471,850,263,354,738,205,592,905,623,196,672,859,002,752,162,024,507,426,977,686,085,940,065,643,063,983,591,178,269,168,652,328,832,935,811,198,870,962,040,179,886,575,730,664,221,325,397,545,897,359,173,362,031,580,909,213,963,430,923,252,657,511,439,900,980,306,805,250,350,263,197,661,265,633,447,426,548,620,291,487,356,034,975,164,273,823,841,984,429,894,665,137,299,312,264,084,402,161,797,051,709,409,981,340,708,354,517,576,282,947,530,301,926,830,776,928,453,069,822,113,990,492,488,163,075,941,206,893,600,134,921,179,622,045,142,087,166,488,270,036,746,471,427,306,557,002,701,035,500,101,040,634,637,966,863,853,093,929,875,860,900,379,183,499,924,740,231,668,922,333,455,746,395,086,457,676,518,899,740,500,742,292,533,872,244,924,734,637,086,462,843,430,157,191,738,087,587,013,867,457,766,446,663,701,047,026,452,110,364,450,971,233,017,316,915,126,571,928,685,153,067,609,053,029,183,408,514,863,040,779,561,672,711,000,380,145,421,176,820,887,247,015,162,420,988,561,839,977,983,576,537,518,510,912,654,566,583,887,156,123,445,335,932,727,810,205,821,221,721,179,716,592,769,098,193,346,431,112,517,373,221,694,407,599,177,294,572,971,388,900,296,516,763,212,522,004,456,258,328,164,405,024,975,234,743,848,362,862,166,781,026,086,240,653,266,220,928,480,757,526,925,948,048,320,776,317,406,141,720,693,872,567,692,979,432,073,219,162,659,560,473,973,122,251,421,199,571,131,745,174,948,051,260,200,254,686,768,777,447,777,418,893,934,772,599,066,128,791,797,139,696,018,217,738,428,289,926,816,900,748,779,788,644,474,766,125,957,389,500,124,135,867,882,110,192,786,600,289,929,211,816,932,069,468,410,123,119,774,795,059,143,753,210,344,420,030,370,058,884,816,839,740,446,308,069,277,880,683,615,640,539,624,075,022,026,920,760,644,566,196,733,777,494,113,449,737,295,869,604,067,569,874,583,450,510,517,758,803,930,432,465,182,647,876,812,959,446,649,594,726,949,034,670,652,731,051,128,111,362,527,442,825,111,106,871,356,614,306,673,783,586,656,023,513,112,579,286,602,451,878,389,316,915,738,041,293,808,042,266,123,893,529,351,382,962,920,113,146,285,883,006,170,820,507,799,069,465,280,723,698,096,695,567,564,312,709,508,572,867,050,443,762,819,375,419,203.706387349836398592
$ 384544646729417977483670606371095668766557727204429199122006734662208673772806416838904640611603977331599388166240298783707084819222663426310241626329000884841274827524990037975824950751376926370923560999290457931755943128773559136219261338371041797771156489853197919694464090039295742668443826099128769642528213011560970156603138191743307088392216978647176188755352285893259043427737021794932996709358254695805317856388057150305345177776119363156921784211920361603577315207900886795197734244217437301187061851066357314917672516129631033593440690514746899586207939466387839260093281506432864264438437792601265135907839156770785519375998062100702534161258642480816246015685769189766373145397451718269711083691849065614713647059934834172888154016842886502671551767073310948694153068613817497169195748202464112056852065108646691082692862797147850232954666651073711491547917882262915854508057591947694602369848069225106996950469268892923765462068745394455509299844362028055658664447227891282152316844886320447287426647370420998701279572180196484130849870896943705287505514588818363302422295451083948644475835904057443569546652316759552558914323802659000479278206597857241097824689779855543512295567164653292656613481514134121921310554546336009029146726935944951200557653903833531446056566177874417586387851551392893593679246515784434510126944621664365523300163613828418471809033366506777764553298403746016711385382042521049626792270716246247256291028969099507051118130385604880798164740562363055805971141298554864434600647057612535650818862607329866113124166672864514335377577584682958857049859363968210669103871040468897127330861095975208683221420243908903738049155366619850754311215044654560780910942689199037335111843310577320780125910454714894142421343834180424446153956595207902205692363189419620412744688214428782393076052379065459105779556204015568829235618094970704794805896042290286477233197740778504307560011985005302600951348201522780007262556925909137894080801186592533940822211010696876244067541722474221917655166563723145761711699319731206674627716295728373381046843007766120627265409567902544090868039204813869519299305220842299015083300307749991327891754280386346176184313006909382883629314817956929287653023053238236425452232290295652538717259405246120231179192867525439490146708292221450885265394065224060748405553272606594260369669508036345185552274602953270250894493331336095579214915954052522747489832142487731529127263955214821123496302265982877909504950797869048470595990941490598154538121615010570628373108354805544560986648198218515433910456232288712822344546045891892016448524770446020455044474381802938382737923493564245131726472395867692341574790649068033103445976401927377597969886338151392033265840321657130638035839080061415063955942764356599723170528508314653932373966520622444512627349951244494744015207256647145397096011677763233968493757624921438673748228381714146005910635584321780875518146457982627297776192137138391994924008853455450124920307687427383145978488134255201762787050064370681795492117212146183276129604338570668577567928872884104346888777273806689563926145094378211640273155192828710818839790221298060611867486880778379703504594154871854161133267774384466163699742551542013726601467315751112696573004791612969471722938893188979647288038854898412170387511677903601348228184895457099623374204030943138873165649608789710600815671340459757350421134351540732406839422207027333457740870432802306514072118638225602978886434964377969306202618972685017895535420505484980025624831904890131987616577240022765235758538692942185462628159231598365262973506865215476857482367655448177825847974208375117456672589321576788928990483657332573841397563241731633609481423905844664168417038166611387800708499515579847833716697476613147107537960392850847953431255076339757054876470431735199128945662264569269101025278693920961291596916570509420139571494327728969526290519361273512497232441830353155429117473233416098951430451206629228841799557760229168424985184540266126731862461305039197409208392316354666199557799151973555726370034931543737692746609895677010476822674520133986611213651684520550819374510403287303706161030689919689398674388231656379243712044345331072508860547003837489222033468258089290756532485974434697563548700643016729765864861871119793380575077418333918684154361874976249003717613807313341249166370232825557132563024021647518418035369469669555143539358359457762592971899859468811736359738717470570361583901887458326918676990179607505019464474599232478666580466438122453990299924437638888270512820363091204082826243895429993116042661959108752408119161640614903852672187607992248493576675375475684717278842124271752081309169927528551223155752095186744261172362755454402515293085715489222539368999715441983450173601649215155243672409478589734311514800687859834526529010183100714729474704374245140527978990267172054966090974443624921949606237882787979891172121522683636819394740409232507317486322020979768569444229838862917184903079928491264635713607735490427965263558484110940555580706584388210368213271158065649343658983358073217812146875325365112244254805340028849805596208279947359275309106648015114908257940723285078993845942995964729828824387679007516469307120245469609333006861066764551100749833738825351583644173451320749140759440063713524747432330600869422621674223384235509117640586002430343815014296604787864532794472125128368832041120356220217261031986856894231525965730109553585473989665082670137885178634011674028984787869619215332515724057179934295986049035593273688230611175119975833402180256341244790088375123280221444813906086467139862470836475445417899705491585087930477593364076404729603991998478958486938581428256671868505075064889434692231837080079624157085323223140315325938588199292990004533050912573480181541734253293845546037348804023765719551131165350007631827672592102563508673696659407808316089138063817912065904231305303430024949307172500282110472299705009335719357728669459370672371001022122709632504330626418280308314639900476574026435845923187669520795213712721240194093072445732010017872063141235014343131985676772837637727619036472036335494117713533356220814541187605727068852178569821120158016966284197731052998831393099053510841815042427677455240598368401103952243139671777073845152718165701590985759505611963204996191279804035891323202219500495852734341727138414310235763840326538939651557999312034478141407033936220865955579366446386246131434786043741821609132660747822884081700602107473066287093980762870596080289819414762632333269613440621960140219041637701647686916956851804688958830642405044621885080310564036225725603424518745089630078642663089725708934905404907776025400483024415961325169273590982572000043179140281686286866574566765114353743154986023498768854371905311375504731889625307579981607239223079968860538421770293699612330765822602000396536528063699828876800081754259405315788472388354332754650207396648306058012764049234873728302745285478283001326271908640054753186695733292368526393475530181220615962550196447539149127616401122811168579985709298243692257068417653923669907388699479215771871850769661473307963922970008113671347711846886433176844637628830039692586277204804230842900398387046558162574437068766010563133833996082634778497085843530853167400836930276465646213162394090937750563702482097412281098517445439144878334461303357259927656393709179655609540616949263097666360708990166194925254367939224458572966080167577734097608092470384678413266476040204143324064112820156025435230563751617444700985339911675672110721799107026930321262030782526155347621102817695057260272076156162850401213976833379156660985673664758825474108841470822094795587212941163303971591381180242029976180324877552137469374516295485729523634696795091398938887827130535787917128421639410652905597069415333844024225986579344716158770318851617838764173354387205062632726456891098035949585367666005884572461364635748994309075752552178151272997124825224954468890694698977038219191751407359009539522567245159409565774577155572747728891414654144699097956389206004113861283073523550696996799311550151399819336388341103711076597240216604561983096084109734375934570611416878748284730098691064510346146050674483651950310196687279016945820811164370866094557996464863505673259769916717537418817260280135784542890679945565785714408570554434377436414027825802969085994361690331484211990356530113580293071421225324763168557481772233897149432429091791072160942719148694445168480604846696926292984222968492478923820449354761178540099856851477069277697910150478218899690825306703665185325825996547332553574343619044219125098997459390455248012836271992183169358917714704511842840723366578922998940747030163796454560130623826935311869000418429702111955479724314007980298996268703227419260969765515771390232272875697774561357607495316882913022594761922534425188599293465571229651636037069273008008001035419032093021324799339809426242045148798114814576075736294160202717655538870470080078581275889181705508266866761011789844970355676102022176467180571460350984007079348525880335267257103362995415669189712000746483556841031335373748400508517009155933409443160098001732662791019553570213669441238690426871068539839820211388031402312052673303281816680933603620968505475665493091657881110814714003243191556403957448197803504063869827035051335983035290677789617433462752322007092014426084249739846231076236755764331899563923294573259693697765013690922451123939402150227675630101303569723278989019104768267129605870592059010516977425381591166260299844680337723281186892312487802161260663214845357420067869888268834616025119280856559087096408588083510830245276971148123597299196090979473066585099376604492462039894928956626235580566432988047912702106959626874192338332602731938218345905176569150606718970240695735740610367500594046629470438.59
