500,686,994,359,905,917,555,759,432,649,523,340,823,289,515,491,354,117,924,500,643,566,889,702,554,473,300,220,043,959,283,157,160,398,150,567,702,132,689,008,483,546,605,680,934,763,363,663,745,286,762,667,603,953,296,265,468,701,939,919,923,923,193,821,478,622,962,835,421,299,637,461,345,613,349,952,456,609,155,847,177,625,767,946,019,818,962,819,138,486,091,332,040,503,688,683,824,883,512,238,888,326,777,188,545,039,819,422,239,323,534,213,015,749,065,154,421,354,840,083,378,014,799,319,167,859,503,393,583,798,664,591,090,577,787,782,904,208,065,657,693,220,562,967,971,244,658,695,254,221,905,698,015,323,326,167,502,105,871,024,586,009,507,213,162,846,798,306,200,908,675,087,085,783,813,094,643,372,844,171,733,372,082,045,382,341,247,084,445,192,188,270,024,014,791,283,675,080,622,457,558,298,332,245,978,296,073,094,146,660,020,360,140,101,382,123,478,940,684,850,096,902,829,609,804,176,624,787,387,199,135,855,761,340,588,932,488,506,552,626,419,155,156,445,816,535,762,186,583,924,507,566,438,265,806,571,062,451,657,154,284,876,773,212,532,378,447,813,845,462,426,768,779,289,663,931,296,896,723,111,052,656,846,370,615,027,100,267,968,963,918,315,337,773,527,542,206,362,827,909,544,765,057,886,744,736,582,617,327,634,164,356,945,128,812,847,836,931,798,929,407,348,471,442,547,589,910,514,367,603,806,726,233,648,971,345,277,995,961,637,905,660,421,589,074,853,917,419,116,710,354,118,649,711,174,926,508,685,206,041,783,534,383,403,412,653,237,626,038,313,173,322,859,388,027,398,505,598,253,960,441,963,177,492,857,725,260,237,176,848,682,953,114,242,237,536,978,471,309,095,960,119,181,039,023,477,957,251,340,029,018,389,582,247,622,171,377,329,868,928,504,005,527,917,669,186,362,285,195,787,314,281,212,157,996,595,989,976,718,180,531,208,009,994,230,026,724,754,707,024,212,011,470,918,169,176,349,625,775,883,644,762,846,587,578,587,936,248,784,577,577,844,499,828,667,092,349,009,275,117,088,112,697,374,684,325,080,512,842,386,637,772,383,430,893,141,746,131,649,831,275,811,732,284,543,117,596,983,256,659,205,599,852,724,974,864,812,377,581,015,465,941,766,107,282,096,090,504,790,457,130,308,039,500,122,783,029,759,551,997,536,178,124,756,603,874,010,696,451,884,907,561,506,155,141,796,042,273,842,868,621,117,577,744,198,731,611,033,514,490,266,013,152,748,599,492,441,217,033,370,638,967,851,480,093,590,456,569,578,767,244,360,103,145,218,879,209,891,520,089,939,367,444,191,839,415,103,867,612,603,921,485,636,093,102,593,968,783,933,733,488,407,971,022,918,871,714,589,802,148,351,217,054,831,898,201,426,090,116,985,320,392,553,551,430,491,658,735,836,395,319,451,515,940,822,806,877,221,359,690,828,019,225,209,365,713,228,075,554,087,150,697,534,817,019,212,374,023,762,836,851,967,619,344,075,451,634,188,214,630,671,391,295,854,201,864,170,693,085,190,159,687,406,205,529,917,945,736,264,883,908,998,068,978,065,857,641,622,152,749,464,720,544,715,070,106,340,031,409,418,127,779,938,492,539,135,784,460,005,459,534,080,048,219,799,069,153,962,309,391,200,688,076,043,451,457,680,668,841,763,880,664,794,323,722,042,597,045,080,173,829,827,028,497,742,991,001,830,528,057,881,086,607,717,711,864,130,507,733,676,712,667,677,865,905,209,587,527,963,996,719,134,314,732,079,380,606,908,403,206,207,032,153,784,813,694,744,833,168,754,133,115,713,859,597,563,137,763,653,327,927,954,469,470,007,802,423,225,569,583,354,431,757,512,772,705,165,013,479,402,258,737,960,415,701,126,916,963,669,962,996,250,484,862,512,383,041,052,801,052,337,612,677,578,323,508,189,339,896,493,333,088,044,533,088,534,790,856,601,100,595,950,133,410,053,308,864,893,367,208,855,576,692,156,330,361,172,760,019,623,222,590,510,275,416,033,678,089,746,571,177,182,788,856,136,752,122,909,269,883,536,614,148,518,727,338,432,810,046,386,674,453,544,922,687,093,999,705,070,757,070,351,603,594,100,838,078,653,476,627,803,122,944,279,661,356,126,073,464,683,901,796,128,364,207,892,743,169,176,640,714,141,250,634,397,304,911,748,376,040,683,516,004,969,910,219,303,700,633,196,766,100,990,960,294,445,559,417,402,310,306,025,663,399,154,315,979,991,888,712,920,919,927,617,933,333,971,278,052,610,461,138,924,881,338,369,385,418,370,783,195,707,331,089,635,466,916,896,076,255,227,577,987,293,736,461,489,714,987,919,393,117,903,286,446,648,387,675,506,292,011,511,193,745,802,559,534,683,313,866,620,143,637,666,996,517,606,031,887,909,787,333,760,192,955,099,997,384,657,789,493,866,646,897,267,229,043,769,811,073,127,485,980,163,930,431,799,148,487,777,579,905,791,181,894,381,584,020,355,023,788,201,740,079,412,954,582,179,219,394,657,729,159,118,258,105,817,832,896,068,977,042,774,260,544,133,131,583,809,386,169,073,478,584,667,551,644,257,790,505,874,554,350,189,510,436,820,440,707,916,750,638,903,025,729,749,203,626,004,512,470,291,426,337,914,180,692,945,342,902,265,692,047,795,080,126,690,660,356,260,665,548,163,898,333,183,541,156,477,376,535,150,663,179,762,895,733,355,171,366,810,800,698,176,907,563,893,896,413,443,634,545,325,775,083,719,657,369,548,919,960,903,314,351,404,050,859,392,884,483,957,370,166,275,103,684,143,976,234,950,404,086,375,675,167,622,317,638,553,977,870,347,501,056,195,183,392,512,252,113,076,447,730,052,425,094,616,122,761,892,319,620,729,941,414,534,017,992,208,620,406,072,040,626,917,611,632,978,927,258,269,994,911,276,403,024,759,568,551,433,446,422,251,696,786,078,102,987,793,594,777,841,043,293,013,105,545,023,041,535,896,114,888,287,243,331,727,093,559,472,812,204,251,982,132,384,302,178,956,078,811,267,967,128,693,288,427,462,706,625,786,551,099,262,039,044,403,770,074,924,530,955,461,126,795,161,644,050,540,890,373,916,321,877,314,928,682,412,486,207,301,492,734,192,391,250,297,008,892,562,853,613,970,618,879,860,818,577,470,964,583,692,496,375,643,737,149,210,334,882,934,976,912,313,845,828,173,701,266,829,230,022,585,998,083,013,365,058,123,127,721,006,270,421,115,560,420,105,681,383,260,736,563,408,373,311,993,776,465,581,883,815,402,258,810,875,433,375,510,829,794,119,356,638,478,061,584,809,142,498,410,601,493,151,012,069,093,314,878,880,893,996,405,682,916,581,476,367,341,809,395,237,197,313,417,149,463,990,579,771,137,483,910,252,704,249,887,470,744,921,358,731,279,418,609,324,293,388,402,940,519,419,357,718,406,998,309,150,373,390,279,315,504,091,671,929,288,406,533,342,564,061,536,201,169,228,596,065,473,460,049,344,840,564,570,247,392,637,939,530,960,102,935,095,929,956,687,814,308,098,633,520,992,933,490,071,593,499,386,897,695,073,456,657,124,141,801,298,808,089,353,395,456,554,131,112,561,324,322,006,414,951,406,858,993,947,927,906,279,599,860,975,940,237,129,161,175,878,844,572,914,424,363,295,922,237,250,328,857,889,583,550,874,132,618,635,744,980,675,200,930,925,824,902,659,600,711,019,537,679,945,366,875,877,021,098,911,081,119,705,778,353,800,553,373,480,482,394,452,725,133,301,057,414,497,748,068,910,251,426,069,116,052,368,562,914,487,210,603,065,492,142,521,727,967,079,548,768,951,383,754,186,672,821,529,834,118,801,989,122,891,115,042,427,776,642,473,653,109,084,762,440,984,333,123,708,563,097,450,474,256,413,110,167,871,329,847,914,846,720,267,607,561,173,900,124,558,351,032,172,226,314,056,724,584,198,567,423,365,285,873,851,234,709,844,552,082,328,118,790,889,546,544,298,892,810,693,415,777,400,952,211,473,809,382,073,954,867,363,614,336,465,186,886,752,399,920,675,911,737,743,812,744,651,529,760,432,682,549,285,665,643,941,024,991,981,512,503,748,782,638,446,420,832,655,004,945,622,259,987,346,568,372,948,804,254,771,025,075,021,700,392,982,382,995,367,651,936,893,728,274,343,628,993,396,630,882,600,991,352,359,206,959,461,971,609,796,276,004,353,741,162,078,968,222,500,900,927,776,070,998,756,102,747,995,070,493,485,987,502,866,587,140,100,426,056,527,250,261,912,166,021,867,992,903,630,282,215,864,098,284,904,193,549,926,126,034,235,972,345,071,561,225,170,126,090,591,344,906,372,584,139,764,832,890,162,444,064,365,053,312,812,943,750,392,063,633,050,021,253,658,802,533,668,219,787,513,673,034,450,715,424,417,450,607,905,219,091,328,509,769,515,637,873,460,616,569,454,248,249,185,679,826,963,759,439,827,054,116,838,348,727,227,638,231,280,077,759,470,789,728,323,881,705,391,176,036,529,866,669,801,177,745,444,508,565,314,542,900,032,341,856,554,813,928,868,208,063,787,201,730,778,236,225,056,741,068,983,683,516,840,646,033,559,541,282,366,812,708,482,127,809,510,805,356,309,941,909,841,384,031,729,821,163,957,125,345,797,844,844,306,629,869,284,842,976,345,531,146,499,620,404,765,837,435,683,133,147,231,529,335,524,544,159,459,975,880,812,586,194,306,921,184,275,267,702,752,168,136,017,413,748,136,355,480,785,448,335,006,081,144,969,913,501,412,793,463,111,254,467,268,978,579,141,179,548,122,421,484,939,840,820,037,521,064,324,154,050,918,321,339,052,927,469,219,653,047,896,314,339,471,540,826,498,557,586,973,969,229,690,852,872,321,799,413,826,270,876,718,228,977,672,718,792,828,951,415,866,034,637,790,862,490,162,046,771,044,941,761,132,098,932,897,489,471,707,978,886,101,276,194,346,223,245,798,426,783,173,211,237,036,431,300,060,322,567,607,324,001,749,655,465,537,788,430,358,460,740,505,950,586,164,091,264,240,187,485,077,357,830,102,061,567,374,031,688,449,722,124,323,294,283,021,316,163,726,323,940,235,376,096,668,711,875,496,359,318,763,826,874,478,379,517,321,342,499,849,802,713,038,693,952,822,479,315,688,761,169,840,884,999,277,317,578,513,413,123,421,564,012,173,373,358,792,719,679,153,346,972,229,345,618,387,898,643,559,040,968,034,602,897,966,630,600,030,348,245,261,127,608,100,004,833,540,612,347,036,623,704,786,755,411,636,271,822,078,481,908,035,143,593,034,872,382,371,338,034,858,415,332,661,096,711,379,548,247,427,672,089,352,711,745,767,980,613,681,852,462,101,034,553,035,392,970,959,803,581,885,270,032,336,187,546,740,425,016,242,006,684,957,099,285,677,831,061,440,099,955,116,984,462,144,199,954,142,915,128,310,751,995,927,440,169,965,151,339,757,848,870,351,703,973,138,069,734,704,920,213,148,033,601,326,971,170,515,581,361,762,880,863,010,400,496,794,446,470,063,439,554,893,180,940,345,821,929,670,757,050,566,092,736,652,292,952,953,037,873,002,398,618,714,094,672,607,129,939,485,635,770,212,558,888,493,176,076,951,983,129,949,850,042,402,529,729,085,616,668,676,501,699,112,712,418,426,399,289,682,487,900,982,857,493,499,922,749,555,401,174,965,673,216,253,075,260,070,318,696,084,485,706,874,493,978,380,498,014,706,566,220,113,981,333,918,445,912,053,008,944,415,394,301,066,286,483,089,498,097,309,039,140,013,218,933,344,741,678,167,006,023,602,511,137,914,159,121,759,927,462,278,126,033,359,965,407,546,222,992,466,317,943,679,175,341,551,890,938,074,664,692,715,294,326,070,406,099,131,936,973,870,300,191,940,177,233,582,202,309,176,012,701,101,765,920,331,637,582,749,146,625,443,332,530,919,142,273,311,272,510,333,158,529,920,564,637,582,052,195,410,390,316,914,140,812,969,691,783,345,204,155,343,117,204,674,559,361,729,743,877,786,349,365,427,441,166,933,242,130,950,060,212,898,856,880,691,599,222,512,542,027,733,490,716,445,815,093,798,068,374,804,210,671,930,139,205,398,571,744,754,323,814,429,770,110,167,602,568,162,239,263,414,844,821,841,566,912,494,671,211,850,232,345,885,833,708,806,235,720,770,924,084,638,580,228,777,428,824,882,866,935,512,362,700,258,814,719,215,332,677,218,486,154,087,592,680,711,771,124,806,560,341,095,699,730,225,933,532,296,999,447,081,797,654,748,989,457,095,806,315,837,214,168,297,445,473,183,755,828,337,043,373,677,313,362,039,519,853,526,276,437,703,404,431,494,770,931,550,117,197,367,277,091,897,467,379,552,510,889,632,712,450,916,704,073,657,929,433,855,612,796,665,662,520,258,236,231,018,792,881,226,250,145,465,384,176,183,861,179,333,220,978,898,091,670,248,938,003,045,533,959,175,691,804,921,630,588,602,194,389,669,644,375,658,947,552,043,389,953,685,785,759,071,139,738,518,634,652,900,158,898,661,544,756,472,895,705,523,542,012,348,157,025,948,700,285,113,875,259,534,625,645,369,741,317,240,867,315,448,822,662,935,105,417,482,398,545,857,305,151,812,660,341,877,811,812,534,635,214,624,205,552,410,275,783,367,473,774,938,058,011,553,529,780,225,233,475,744,809,663,302,667,540,299,099,732,696,555,986,675,828,799,473,014,176,779,090,541,977,628,193,789,485,607,271,925,980,154,042,182,406,522,885,311,030,841,220,283,409,404,220,622,256,907,147,793,506,229,007,213,710,360,642,075,427,888,599,918,265,906,709,882,052,393,374,160,844,118,853,587,198,732,380,925,752,900,924,214,612,146,621,510,443,836,694,612,968,359,321,829,247,759,976,684,637,844,646,163,627,818,521,226,094,687,338,739,975,333,782,470,537,861,171,956,644,774,097,265,004,702,096,090,446,605,189,559,787,672,368,273,285,238,524,052,835,426,054,024,184,060,632,111,917,936,947,816,179,697,876,997,689,727,494,255,140,651,211,337,850,395,039,469,497,073,311,557,144,927,256,058,416,523,764,652,348,760,251,614,023,727,482,403,817,825,930,253,564,051,863,359,294,442,903,090,730,265,412,466,526,338,528,104,041,168,764,244,800,435,903,422,592,119,719,755,313,299,155,469,175,275,759,648,168,791,611,804,450,885,479,010,793,675,738,925,709,544,726,331,873,203,761,107,079.202548774239993856
$ 1362823701230081238406250575396094649663151841725384976250076934645781942905771470688750301500317764037758894936590068866314534123632626723977170358598169805306184074676917732536440010843159216305321129379981386890826573470346313773911288171065406475624703666819106638590807476664743249447887825443184632444399120170796864619298714963173654265515762275190170254797022549107586470130688584695546346862321629851855342381249351190103479631339456327665942220455375746060455815901878010871653178627364009385615780304740553655133553992628656826988092249055022895194600599350922844563482488114833023608853756280924314608582139914482511388522254579432034042002998168255146098695273888355067694626971536824392983536200370851292802623293091912591611554134245630749779919985852718521241531397954035185238790476662801683113724284080986616353816179343902272498450606967925175059965608720562410631548846051698738750997416585301678415979770024686096068941116894765883149715387508897493086374040650785232432867759368477624436037367870244496404485435001795896541412967501655631787091681531600099972332219905076446861862273930335296839679899809792204237029620718602759814903713139189947637172652550338125472755478763960411483107079946721934339209645638598621269267462013788003992387749672527191570447510026879716969673726586241428541653165338153283235898805047779501105613885136470183059825393994309747247599233159396358614849125373032927782363296520938786927494333519098888462441141905850145631464708128084086918995790084025874621530088086285110288716531428876469621447172394965234545599241140823140968475577965355097200675667849847804244482644388909629680021335154637249922460301225355156181826289564639260351103914286114934724026273962325492916606234739006989299597040087040933373073606891741739940389294683769516285776245634814096351136279742496335405474399635807453084111105833379968055285410440483976263044653671754040302712860849019518696634417192909986631629715087852095867690871459352956514645531021592619290733640377135259918644264375160893000473145514536806615826211605971967270162529594085731147565229154931228296925085771979529724651961934646023749415580054002588858377415658022844800800123976736091369757448193748195099461552560059368429704435744926027768999435250403719981535912382647922266514739509195794668002267967993228226804589257388841703737133878194017749947368315588423208898004040670518087321102522782849021396223399043362103015427412660592790905040660692990654103957842221696414641919580158236072368556068137314321951307925139645217633751941055165021744811441974613608107934578358439748898528285695580743438128586513022924581709204122288664135876588268431205287763648995841408054183003962421038147233674536997251551234902087612286765537854354216817743041117730707509575692415910686156591548180655987995684075246803378044376792185948645571470548809565007092582659174709007117695702246242328429764481059064289440462503116496491158567782444784507370878608498893202606753114718133579970707785039085918789762947901279209246818896934229931592327468316835669450911247461651117536327899343058312211158108372601408238329418722803741778173429860801729192399298929119218549181040407278743415737338295982021146733813928870659631251984156997269282911380893887464291015716741439266322786130580825870539462703984450063328595572648366781668256636048703652568068660998707635533498134636302266846741345670374827022538696473785942403889967877193798860467499670723098164984244210303824755917917847330315166782085124324716682161509246917701285946506107902516455916031529846185041389638898423972756751821771684420633040678515173260152918693691342089728102258613590214093984100715221044775245567019413701603291736211462617132761393076599310972374066590677563254203663470463613008029544934093923070398039772068009887410383792832060428283882679008715838846880376091184538089367404295698127503204260443209537380623633077558959588162655418409918464650974981800431219285654912689652164853145127663575989586513909438349041650805608554894889132014893947187131925206774545223713786861912247705781385812130702281150442562256183536114755255048338970896322288469061618919530328112883352912103616476996185032242239097581093560302003961480511832039271390724266495668351188508543724890486595980988939815022610192577116692007413500165542059781213386755664380962687469137308290264208959429662587442938830884890055658317585845411106963456469346012249134081162098486717640889747881060412863632815625043363924804871197761070421900267060256637435093728603165210467473793106534064719932555970746181304290432044699328233075884605727834543694582429069604914005968901401686729893200084764406315004095461966131306414717626097525421733513933058429848202592127081745715299602341417297299677792631187100213291231534439425833650062263871298779397943425268303703438536109834636618304603133872211052618544167776639126371543900964359014266271374047242868019626201044634218664911611354100643185700504382808367139824673015829824796477636908791358501560506308588552808052801325148568029958299948740777359300835051274841249700943351633268540901903437575677779195680421580415183921399323729890936978132277653692888832723797408310177647895606357299947599937838298084679927641103729277930676185403810220083623885258702174914712042136175499544633067792382646258785000464656121563815951213039572743521262810716519912702576980089919667323549387448074048661512006564292883331995175048119474873147334250988683184877924167256007090044889654765009565297216907973545277684316612040458373670529630549441618478692426334057637330252211550723867734341882973934539663186312688823219599030263348389449511275115933233045021382380576809363643147399708282592632022944635625692077533423236365403444327301143241390585330457365065805765430869957950184395014851566999250430695161726231634907017764695740835130730615080021115577080546877352122709099221339803773572259176686225351923919836581490972369705109716851405633515960170491207176134404799803007395739734902848548998331259834487160656731258972574857586121028501260586295028082008191348882810860270909638214400551325610249041392308729675060201394932728864225275962840956388097213484044926403315264893391807123704173930211724398497452256929603112690180952366490618104101830870630930301650175553953591429541381768985651308452077713650807578496883997760567342982049371219417633354531509739784923364255929782986593936709826191410356221188185384859664586492519129475653521039650385634717684651616966702632394778998743273541510084287594729584724150117277945427979551620187080053751663771761033062335049651109045322924280538386680997413649816557450073032478475359704674924523006875711728963122572457893489205104530415261589166201903382086543391608367241686238525784141955184573122531389189566165046604566763001195508959494403481517911754367678624548674847059492779221203968186713231119539977152191463343036235710126929489942018632224260850273729386796197206387370724062421420984703716039529660177913424700021608435420899885874800429543676686045142294305590877311015537024933252090930111847547357155797204651898407920160216876095787779600266181788038774764380604771704686882077782172667737613834849553935406148147547820365072844513524965532404441326358654264346611259730201629413509231300191600249304438784829904981137260696729768297753806363612396622664094697277846486276556932138027401611105442482649538246888321574375609749298490457628424014357947381044577182969221525047231764703037293615250466338539393979168800427062778391285371672099935413761089146053467784838221102904232342716101651699769585470709104991509487660201288166586807052997425578417909864743268524445716127296873791732541955734706451248898274153602061352693076988739783966279185383444569175720852437026313799918590666887381360589513861097960466395305854224340845050598155819631594387016188375051282379441865615597696331434755163516837065945646346971936427356150326590000304400472832394449042169758378856592501670800716176336062191292034915025895614810788141878423943426589187430218650605054914553083597522010900085887132388250726124716868683599890040482607960535675100173964945027042430282123760868354102868534826753106872122121372522248089491244574947399079820607332856270845975668008227364571417994795242707765777115121123397581881828842879938962540331914818614194958068936276639467366333276128858391212329606888141278537881601593865946504369056273950424279737932793525798856004483577486526545187261754767933072414487558608860086971739329122299660349105213582495761447191895194430524824824282917912049581950158061667147904643139332047954580118185017374506485280749232657701377786560519204220645208372878568328422491268195962464791593293166250670784712989439473858753293200994242651222624980290244320442136479725435869080832616696380494789529987227644743779224205580842092703357126832067566228583109424371715023336234935738692761814742846268587883662859612319388615468589022325781278090461990638777345336849541086795557145698381991177987718505857212432057567113777820262326764993517941907382124137372021217898689216695172933874485142886942565774031979501362906744612555282958270748504648545902929048974395416746468576758140474853184381745052355836803638002939392462221807521977133288733566888593433099106029585286909255506820435078620794081724479724262644041654620876695968293795985073169035656290905171812978388630634963183002433039517757139845300538304534659802422898306491962603262347719542732550497947529339112757322924433613329364655196272752057760725567978371907121564584438360499713221405672036904703122744413616615361079134360467895410664621709681219833320701270773708010100619618858620082488226611286317169872857031338733183900245014893086461533846122786811815191204752102167606546454775299339469377686505696525333436836169211165409319638200.88
