1,859,901,362,938,134,943,998,074,040,102,360,542,540,340,138,232,080,736,888,733,054,241,834,898,422,797,425,533,261,768,551,067,137,472,789,540,539,368,488,286,829,311,136,987,175,456,929,239,252,964,483,468,495,014,114,389,213,578,297,530,739,666,758,494,696,014,273,227,880,082,296,907,836,690,077,547,614,965,130,485,553,326,915,828,456,514,204,862,733,852,098,309,183,314,220,514,320,423,559,530,610,484,239,495,703,190,368,810,580,326,812,468,864,609,444,339,444,295,453,778,897,994,769,685,834,803,670,477,376,773,515,226,345,975,394,355,670,034,696,159,861,229,625,978,296,643,527,333,506,758,302,004,126,764,166,015,228,098,512,969,519,577,404,975,809,322,156,211,241,896,969,133,221,917,729,719,455,338,665,915,484,493,483,783,415,248,432,508,409,386,559,433,590,917,748,267,476,826,981,213,416,930,063,852,828,188,300,194,805,783,221,947,159,145,445,694,557,332,019,042,461,855,659,355,215,478,380,464,624,569,965,784,440,808,656,248,884,553,768,674,083,930,691,759,759,505,872,030,050,631,509,843,403,836,457,743,124,750,117,843,198,477,254,662,407,951,176,826,715,221,563,008,716,520,231,203,949,664,735,026,815,368,904,933,284,411,049,693,988,200,466,912,284,027,876,932,502,252,813,395,257,750,846,060,566,039,697,043,959,457,510,998,528,923,355,643,280,398,042,555,438,980,081,819,550,051,538,285,197,057,042,931,643,265,097,812,900,570,842,966,274,682,746,967,193,263,584,487,159,465,992,850,955,089,026,883,046,421,633,006,603,114,840,755,443,250,866,322,240,175,113,848,100,229,232,000,307,969,261,240,106,155,359,311,071,903,925,979,548,006,272,311,810,947,768,009,126,044,700,386,775,842,803,006,719,848,593,242,576,876,870,448,499,072,961,691,027,291,061,439,810,729,041,760,321,782,114,663,407,678,682,286,766,792,813,451,925,830,556,249,909,377,904,057,063,396,904,218,324,590,971,311,403,943,364,735,776,928,537,211,746,378,541,303,029,415,250,976,014,517,062,004,692,993,623,587,966,496,778,345,288,063,402,613,873,746,867,846,783,537,961,795,600,930,249,182,109,530,624,782,692,623,882,582,466,595,703,233,005,865,643,852,837,971,322,667,582,996,231,528,889,505,052,986,659,603,230,885,272,010,066,075,705,454,780,989,923,512,137,313,278,396,812,539,946,335,270,344,606,870,292,011,505,552,072,337,532,622,575,366,965,343,758,418,776,672,986,047,307,575,471,557,241,229,050,920,631,849,611,935,765,469,374,940,491,978,423,101,546,539,584,934,395,049,818,909,274,863,531,629,935,670,805,833,731,320,831,834,083,368,340,309,572,045,028,655,840,998,938,272,503,079,447,408,009,387,122,101,606,069,075,843,902,446,525,048,476,271,437,881,213,205,334,704,192,682,028,423,299,785,781,716,549,889,627,587,871,252,913,693,584,979,684,876,356,106,886,088,453,443,410,459,113,331,487,553,065,753,066,059,202,273,517,298,209,063,927,266,344,289,455,501,962,280,686,522,509,701,770,086,230,401,272,207,904,834,937,859,495,930,591,140,020,557,927,651,199,703,100,401,550,795,196,610,139,598,952,511,530,510,179,239,227,765,654,230,055,876,515,290,323,820,869,662,945,999,278,037,521,300,699,668,755,244,084,193,076,031,832,470,098,332,639,363,097,992,839,554,073,817,824,534,539,475,334,146,550,591,062,204,488,536,327,050,302,616,473,636,355,084,744,011,244,039,235,161,224,483,288,592,713,851,516,356,063,123,534,611,521,796,895,098,115,780,809,404,352,697,566,394,601,123,026,961,957,629,426,135,482,319,617,228,952,505,788,407,060,948,228,082,944,769,987,097,703,132,095,814,839,715,847,123,620,251,976,554,339,982,882,834,196,911,585,840,345,148,998,589,117,320,501,632,520,172,004,156,663,752,767,052,652,551,662,040,866,435,576,009,123,652,234,338,396,291,553,771,456,312,494,791,539,105,165,881,180,814,289,019,764,382,949,083,938,939,438,857,646,829,926,648,054,801,337,148,584,796,471,511,390,827,063,467,004,044,458,469,133,417,519,548,365,622,294,005,840,559,890,816,186,011,359,254,994,308,066,045,604,666,242,504,758,247,536,855,289,441,679,356,778,868,023,722,092,248,045,712,306,868,466,652,092,446,630,169,193,808,972,176,848,530,532,258,034,406,923,220,255,846,520,883,735,661,438,757,545,218,446,349,753,033,997,833,129,254,366,475,362,042,388,614,542,166,148,198,574,906,379,442,802,437,517,128,722,858,557,928,194,939,498,531,548,435,661,343,023,770,090,459,612,712,902,169,678,461,873,763,752,614,679,984,000,105,196,189,507,301,023,126,275,107,906,906,540,633,437,111,545,329,453,413,817,361,704,860,881,171,746,593,059,285,283,889,281,439,825,480,557,103,078,572,462,992,465,243,555,036,964,378,831,334,410,155,978,034,882,742,583,520,401,572,789,467,245,704,588,858,444,383,222,147,586,471,258,363,951,635,712,334,414,428,362,240,717,857,781,471,582,764,800,674,319,169,131,516,925,093,215,973,915,863,533,964,476,327,028,935,595,253,488,175,401,135,489,272,967,767,270,622,223,733,601,226,764,829,220,139,803,062,859,668,308,696,377,823,207,656,639,682,812,036,895,235,200,921,525,475,253,817,672,802,820,151,171,438,804,115,905,833,148,442,100,505,405,635,693,752,753,625,943,706,795,718,243,019,420,295,214,012,188,290,763,272,098,730,206,577,596,551,143,290,660,154,544,694,962,356,070,337,557,072,616,815,619,963,766,790,747,613,938,708,860,700,586,036,660,702,581,532,112,495,355,619,200,613,506,386,229,940,363,706,954,916,946,829,241,145,996,370,372,688,968,356,158,917,252,800,019,792,319,960,553,807,606,985,962,730,938,999,902,852,106,585,883,796,909,227,741,330,624,407,002,010,398,677,720,623,334,973,302,604,051,811,281,713,179,540,739,732,339,636,467,589,680,190,105,596,696,082,517,523,710,229,198,542,297,749,856,729,278,443,606,707,120,255,065,185,749,399,173,649,437,249,213,678,265,203,176,900,495,960,856,213,204,328,307,920,576,196,556,754,496,787,640,378,324,115,448,281,942,204,336,266,090,996,243,541,608,782,623,308,513,958,406,382,061,108,534,269,480,021,045,784,007,900,601,265,119,719,525,484,644,778,017,825,108,001,369,787,764,054,310,376,514,095,223,419,445,024,271,705,726,608,088,029,169,356,088,303,078,343,594,135,057,508,386,191,597,936,353,020,186,825,646,640,533,215,021,384,529,132,504,952,793,363,206,638,466,756,646,281,926,906,775,245,092,707,322,762,353,056,638,656,423,478,490,925,377,579,384,064,059,529,940,531,684,587,284,810,313,963,347,637,170,680,615,036,903,821,166,181,459,137,397,546,542,909,969,177,163,597,891,366,936,019,568,093,867,852,608,957,050,297,525,282,789,175,764,959,956,160,703,239,017,094,836,824,615,776,547,772,493,971,363,888,117,832,775,758,990,788,601,490,741,357,433,258,649,741,729,704,634,655,877,622,652,846,996,243,280,086,917,608,885,429,298,855,628,538,358,836,741,304,586,108,505,254,396,157,117,869,680,642,085,487,533,737,841,788,145,608,503,789,082,743,302,190,295,437,353,457,624,155,479,709,724,475,310,594,869,064,203,578,697,764,037,588,834,587,262,566,533,807,663,078,360,235,081,733,274,639,686,706,138,883,621,745,227,546,126,910,056,174,257,848,824,169,394,011,363,797,351,188,921,022,210,710,994,182,640,438,035,741,653,600,575,739,120,105,199,869,824,857,056,321,628,287,754,294,419,550,913,943,289,991,169,902,948,645,390,497,206,570,793,757,092,320,466,984,871,308,188,914,225,714,747,449,586,719,168,105,304,220,591,383,977,947,989,559,007,890,862,068,654,465,901,339,667,078,273,545,621,702,297,343,952,319,393,274,950,133,510,981,093,933,009,993,203,146,398,649,366,579,039,763,022,675,253,668,682,976,582,930,223,574,463,639,929,991,903,584,342,854,909,017,424,524,518,704,864,599,046,399,302,110,164,498,827,020,690,910,220,670,251,788,171,836,108,539,731,122,653,218,905,146,122,405,051,598,624,058,851,873,541,184,580,014,571,182,993,450,757,183,425,880,647,372,449,983,253,189,974,989,878,537,814,751,135,143,478,665,789,026,860,139,676,061,374,130,806,535,387,026,160,275,783,898,982,016,365,846,347,766,854,373,588,685,201,834,809,436,483,041,820,889,493,140,129,219,538,511,556,244,654,215,774,720,623,214,300,035,645,904,746,172,591,190,607,372,845,424,801,547,586,261,826,159,446,803,747,668,325,607,555,315,350,887,505,012,856,285,717,922,296,571,277,064,612,657,959,103,238,213,537,977,655,751,692,318,604,548,215,681,555,831,730,299,981,701,018,108,805,044,709,867,893,921,886,153,729,399,865,966,990,624,229,622,532,915,501,055,641,108,251,670,352,009,487,950,135,623,061,134,024,802,110,515,030,207,174,006,087,054,928,647,131,926,677,263,910,139,481,450,672,212,601,861,181,975,863,457,664,360,733,960,564,393,422,081,773,627,758,043,129,540,367,335,292,589,826,630,262,810,673,777,789,349,438,601,446,884,438,493,716,039,513,791,298,717,355,929,957,025,727,783,437,232,684,140,536,780,993,568,190,624,582,275,742,341,507,881,745,318,090,046,052,328,095,458,317,852,247,186,443,151,160,538,341,090,679,633,361,712,251,448,502,392,412,313,469,944,302,701,836,622,509,045,907,279,155,627,476,525,250,469,700,103,511,801,639,859,472,208,798,456,802,185,976,539,430,290,380,843,451,356,145,461,836,890,399,259,408,442,476,110,491,961,179,718,321,629,317,803,934,373,008,257,756,062,044,753,139,126,786,317,183,806,077,002,804,085,177,530,630,185,997,429,893,526,516,315,476,942,845,492,574,729,599,287,088,221,420,521,678,262,616,244,527,292,712,766,470,216,303,965,004,724,631,092,118,107,443,083,027,174,967,533,329,388,575,815,478,637,195,233,985,640,142,030,696,776,696,663,487,899,461,885,205,405,656,896,312,898,064,842,232,400,537,810,667,488,167,634,452,392,783,456,432,632,393,992,456,090,925,596,008,434,107,842,758,369,418,685,338,782,008,403,805,080,664,995,974,566,861,960,553,917,487,336,158,066,459,248,079,020,580,062,544,504,432,930,684,944,241,313,165,211,768,006,130,914,103,551,631,225,056,648,959,419,365,179,320,452,558,485,900,261,522,801,932,303,156,811,055,078,107,504,000,037,905,955,740,028,295,674,475,691,159,683,155,862,338,128,644,201,770,996,175,495,426,314,759,414,036,210,098,382,363,008,037,385,002,102,169,429,269,765,736,725,921,065,645,515,275,964,505,933,690,648,812,756,291,660,656,753,861,798,808,886,431,331,044,798,379,375,988,952,228,040,224,505,507,561,059,447,188,179,648,144,872,287,992,211,490,550,595,390,079,245,214,544,168,676,767,423,077,598,412,165,180,771,891,293,101,666,501,766,025,972,787,299,738,415,535,787,935,317,512,573,764,019,524,798,508,708,236,387,423,369,348,242,730,505,066,812,936,024,291,854,314,573,002,462,128,266,519,422,104,313,462,743,228,297,027,255,678,438,612,852,949,685,276,072,436,830,424,816,279,972,382,920,844,448,723,730,302,412,539,337,261,984,385,042,953,977,069,547,119,657,164,605,023,596,252,533,166,334,568,947,806,350,303,970,126,190,135,575,945,273,181,022,074,287,678,349,057,346,341,187,497,806,974,677,159,473,446,373,600,561,816,190,121,700,062,912,437,802,792,698,254,479,723,494,892,663,781,481,348,138,117,354,176,408,231,137,512,492,195,718,825,707,069,305,340,826,404,428,924,982,286,669,590,060,771,919,361,523,161,070,937,416,944,136,098,061,853,510,278,953,013,528,975,451,907,641,612,630,794,894,393,431,896,011,730,435,100,029,990,717,207,911,864,901,580,046,116,344,377,423,974,742,980,916,625,053,371,463,073,402,454,555,595,612,207,301,553,379,530,043,170,594,582,525,923,413,145,974,746,604,576,315,248,636,642,713,244,614,296,544,462,326,567,253,977,580,335,539,319,527,079,083,802,869,713,242,405,024,973,982,831,535,695,926,385,052,273,281,518,728,985,449,206,645,992,807,060,185,708,171,022,110,907,593,455,814,650,906,312,133,291,248,001,976,549,680,048,275,064,261,317,480,423,677,107,507,278,763,222,569,873,754,899,031,340,327,490,356,756,911,982,887,842,251,684,320,457,286,988,442,923,626,756,995,597,537,732,438,520,740,571,006,896,919,662,913,899,809,614,611,527,050,034,530,314,127,265,362,797,634,943,654,584,537,984,760,790,916,592,002,735,698,176,234,757,182,110,461,723,684,356,525,625,887,329,793,436,161,502,772,293,604,231,103,823,353,133,189,882,173,387,009,398,618,916,393,650,485,586,103,613,605,570,015,646,028,374,387,824,060,687,592,393,334,234,320,995,190,430,620,208,951,942,328,786,464,990,737,201,167,907,204,526,727,540,185,759,742,955,324,671,902,123,439,422,511,311,691,048,800,878,525,206,998,445,868,734,036,903,928,285,420,426,337,766,735,599,445,668,207,457,190,333,167,075,885,118,625,814,026,365,387,611,787,568,647,852,918,783,135,456,047,384,777,753,844,368,618,785,406,766,616,820,334,046,616,354,579,349,972,941,988,155,054,254,560,783,763,593,597,245,425,696,569,930,997,585,283,350,044,692,294,124,076,382,852,823,298,813,672,667,751,463,580,341,807,226,482,099,431,699,279,120,246,392,990,032,673,322,023,305,213,673,695,879,709,308,380,776,190,483,401,819,528,873,136,193,733,181,327,861,899,617,922,607,551,996,177,181,339,745,920,531,563,479,789,949,477,269,428,104,661,091,224,769,265,084,584,972,627,184,898,569,147,825,622,362,334,855,334,974,415,303,357,906,435,629,520,601,275,095,110,273,073,971,793,997,101,326,265,864,434,328,518,351,070,513,899,742,235,739,369,868,851,638,546,551,113,244,439,260,222,096,325,460,182,454,205,226,661,018,754,127,750,688,534,480,157,849,753,731,564,956,724,447,504,960,197,519,132,761,564,897,779,392,558,878,927,301,811,775,060,519,934,266,106,679,982,493,255,107,506,598,080,812,646,605,575,722,579,578,094,259,284,400,684,494,871,004,223,887,586,893,525,636,750,038,153.376512761514688512
$ 6461957935302611787865050253366531262613210512141875890829253746130261701842036643738793510973326560535250266051046076803425877655559263539667503476903158003100108810425701128698029352738708196068247885819322649768583991292008097280582530707175768700859485548874142697659176572189657678562462499980297638437420857986516413809946641369878351941534562259931548173123341068766032486363985841503641920957320897743800108355230842599770161433641349696630434304047519732293904562427096684477182248040834677610863365523330560375091536165878036468636349477377051442151986475620823411902739727402118326692947144010412993734446267560241635254354754209304878165637168774438686650443861431096999570407829731750406889794111157603404548936157248764865994947159511616441412122619635626164084956709040322366158450418632214448458111526050972000528202175405182308846945459075074328339016379953749090050385494391510382253757534931456205462491974632231578884589720819404955422365293241355834981823329411665741034959534531763862399297616421721657977185090357564104469375197512457331469701597828867101393031928927378527596044095717914933849642659979788544618883405171307156186367226913577366876197251947854300150157779941328789461430103771660176505714875872733963512276384391873102761871309183251043716989491893716684030108663235131147664013730756308802315239625290681372355217396218670161019792937099420707093456012187034086199220709732996233430375933079468490731990635139998786892354282008589275447789953565547314409596052596022155309488198004448129483012388182964233232036468033467409228310471814363275327212571785214732133688805688373592589769974450149891352115452143886593694109736093020761026073325794458155480509455958342003508345977667868326883549516706162521515939181187284132107508185479103146429342101940928092423511927464269639146050651457258590104455081233397652310734657443431138064507136767447461268333156485188245406460215529220452723531216956110050687528073870849170578111098841747184877511568271614809492308225666273190674526001461046557695402101581776461247914942848219569035219723830572121112722825676651493468450462227831027209957038177708271790238181166746986080022373475236321955314813161665036917781938600110189668264825703506277589550876089443094415235525080667624041761483389344817708558369604312936798679308022032556844396559991785925168630356709546201379788853134572000022562472431754174220753227992502819340871037532561485813183650717170620811825254924464378840077757616254313262857479488169702724986200058594023908075308369439449252010869712820782815899112082265296688422976176849593259027168113283892166642493208253563230724166687611449826360753534926125896414349793628684862190014172699673457186143258743731329110047762508762261294196379378718769565905402323363614105311870993259452102959234617855025792180917329772624933734928860405931931241094093062337078792527622196375559406415072408086147381888882768898430504474217800384852588327878530917841185019433434960334320792494580139502452413838080402653714693717557732265588547957620006201374762982479790528956736084003420707571470491985242215843794826462772533609519550959351969551702641515385861391598968469917164703800570088057767514238189989111680871351912134325824159149739530255041509928945079373560227827490376229628956999194731664032488823226412430597699999440186404797398975594860148710612540936875670299139172390792221017032542970227476715958682401898067350633959734382635051832402675507573163458844750624872726383398101617751932120795519000180856818049659036686936931855663839389738199357809049761386091664991095794345855213324565754801199089203887163446437471919658428215348255121913406471442831250337164166307149959408199809022085374401460046398259266928318280632380838878165283036533942859509630316188259648890015644231054507302846696083115543994931320497187518532876722214590597104879318239104058439936416612420163676723644524278991126999823429093086556806082519547162126269887423821912318754074071407841495549489852591686986303059850605957112555134832453077559129831753022585914235581806825042409588184535525332395617081463279125238888148734377168785879800635118638882879602033420439123739193740753986593035673584231842747253034210757062259999434041363324188481820733310938389843797257244449036401438286992040159318636871935538324633552801516516976969420398620641248354116842584781681972719036031075845721467855242130633773146923821951639248090152675363931568885969299175258558335326589084350221167968981623473705414463365674537375250698787778636374211313945912689835178450643017649085829122784287362004659805560671803459969728779810623387205992176329281023538297497821504191373337671636731831677716278572222653362320004686532883580084887659939956117705801522801506997493364830356833388211039805221333280979934849747586804626953955732869255829954892268672887091320970286048107618906127088782765947324682161340464950003222774652679732461553467415463180524550922207825008986089412490985778208364144770075796281878271144339307422403888670229255895239324220885034484726672321734586282959644468130654475575407285111504360262043871014919917174030988455854964178947051896102068913254067627027364335040182220871216643807588676832091148852951840490605063774957539079997127662675055114454924316852176116449950289556014548028225021145429512464882049986947185639106200695939782232517269366519175654963085884892868012847155451317179639097813385966427024401209137503660355270929999737501566917402174352829329075039800461930818851931397778010830596675423625731329732873203027881253003852266476483717640539525881674096102648842100404788370865557056692911621620906725488687908325823708997078696371964104314437659163187548226940434758182457350383397611741723627913752984751788286522888669671130964215817248028275733284480661904944933187863903632155836457253290397678377373327074166418352558039400955660358351785063769868715774794238417344299953564017726708624788213498231180870570555535148555655522770174328375116934481482147404571414977637765442717744079892242253813077942680545970974861295155349538811831766273520022742276084134780639555331080010821025174277464065721789963023653905739054868674559588285709864900203013246588207108291580004640880134713033046431293496473311193097850484094929390063288328661102526563083915128707983280920925077662494747490838905228842732694263747992467857327709510650068025396703591871652007468423392405916761794043784359333717443745016150177308879831593315098962309901710953138766923673675760177839745185839140765385671984725400271080771736470062307986945206111363080176554956373226935410011919562798263189106087509302441107846240608470190493392028562026941905242814517507241250380184642543811803322174300844536141775071103643007320150688337840792987005466546260234032339458412967543611530235274927720146052393423560334408301985179206557294561691190917265121421298910955360069297423554128032854805768812805315279589230195546668600117517391689755759714698190685976474199241404606773502053687286939743543939354527198714677007545153984776692865998261510217049817913765185596554174214721674044005835093865748369566747260005355370760847502399513974230715454518903714514781901076458083448447326289278172740014524609159129700472470373279906764870759493762924227553887127255656476145833603893695267908935795258164335545316386263259853184653614873323952012704489465406275033086458059337394015869410735912105087574888312821349110479505339337366929144181737724849376381831397341066839777056784848049960402214293589044663090948068478289263726325793143687085427569532095245106117793516183385590076489560024292376003768088658562078497284854396403244314551037037528235206852194545923855048608175326661825077681600729380684444765413454304780051836296243509708952959365990219397105399651218273069552568947874094465615282434288886137746249528197138701270604474379588394328070475990706885821533193330744043713367817105251906160506051246717302389182769866954680975635631481955356058711403148241768504240439945774000012146849234258882685287620043071235310928867927166240459476973546496761184466272329446026102209651540476819755357453173446779008611841053787829142387283272280348812373120558005017678522026420795704691812874294297598381553182977842295786336436505780168877159629488769684277210025548506563495380403243330321042708494202380485403649309272572558700420811285676147294509083565014752671626556136887763967835158021503477236374267535842754149463852009694452065499921869191362192236956523047451104848999771479506426021318028883360998466799925535544496428285645780901872208131637406175455064187367188147652734910052931501184715568919983326784031511685969298646507500562824742071909841176615645910112139533839232110341655669950151383697168968485494865391449046599944776141607223279751610127736630898267485614303783081886984872728558906824782612065625551477990583152065697585405424675601499821671790533528096373131825190037119309773072082549820689973617315612006840358028897735516565214779738807630092624656714515718991930989046193296493721913460347463960363541995419964515965645596934285691973336262967466574240136756909869856283557784659937876306256241375503274373488183662449215905968471678229975508964628621355035274635964219017176031167695062898099928135396236359691676794934439685167154650103683499344199057893952539941978537024398032151301195577074198439081788356361352405528638962957920728836427723159892883525047380697040133601693745140928396374854944416032743423019203730567461844282371079304942530649327177828252490790118759623500824748803173488128020949829609412679559747869255618551059871581337421819225979157533561946739276586511861073492529213343151718653849179489142191438616544812787726474387025292511450943225023327136116513402671957946240867616835162883058439692231354183139898215154.03
