6,951,169,986,146,617,402,604,062,042,183,484,826,766,457,170,244,242,524,412,912,743,395,328,276,588,412,928,193,625,603,950,453,338,985,219,701,584,502,501,983,854,016,776,974,978,334,733,454,271,594,547,299,682,071,913,801,116,055,356,312,175,655,585,777,506,029,135,207,158,705,298,628,320,187,827,929,325,280,384,797,814,699,413,689,817,170,500,652,035,750,445,676,631,319,732,814,536,848,687,456,273,370,325,249,894,919,558,342,481,621,222,092,846,602,640,046,581,635,042,584,389,606,967,023,693,890,148,667,691,181,720,078,146,223,478,741,859,100,593,172,562,855,688,774,231,659,995,346,522,009,920,446,192,837,019,484,082,576,293,641,980,255,763,242,736,595,277,744,633,793,337,086,572,301,183,937,254,345,138,139,897,995,662,762,995,669,019,911,942,934,460,144,112,022,399,639,352,938,721,345,127,370,831,184,733,853,834,641,882,789,176,491,387,217,655,897,156,398,666,105,755,953,791,916,470,113,986,247,720,080,070,931,270,908,697,693,900,711,469,593,609,370,348,565,569,932,690,001,713,454,576,499,222,301,677,383,401,393,556,445,724,374,346,776,973,992,738,630,249,494,859,120,471,982,245,975,501,594,822,392,801,806,713,142,968,951,421,227,714,269,921,023,515,230,379,939,846,712,350,633,143,333,673,684,475,834,406,711,451,315,353,278,132,715,600,967,969,440,494,840,484,433,346,700,601,440,553,030,993,862,657,180,537,246,604,665,218,751,780,104,212,730,116,501,730,404,718,395,525,534,493,787,125,550,358,411,506,004,726,609,918,780,173,250,777,100,291,127,868,059,616,288,336,924,898,697,965,570,038,231,526,672,008,749,623,187,061,038,155,352,242,791,328,469,815,695,068,538,229,258,732,888,563,212,968,983,087,019,896,076,811,816,010,450,857,963,108,734,556,017,843,874,305,849,494,040,909,222,465,041,502,273,456,120,409,623,444,927,381,020,638,246,454,583,611,693,097,384,642,851,434,869,667,901,647,697,154,571,806,643,286,453,919,526,564,211,197,727,611,142,084,873,569,485,978,988,902,021,137,447,887,694,838,139,430,286,721,255,430,659,901,531,555,978,942,984,928,814,081,972,956,018,276,548,155,636,219,098,505,435,042,994,914,249,964,418,868,342,265,311,673,004,647,466,043,486,530,142,260,215,715,887,173,484,943,292,481,648,435,620,934,806,997,196,927,807,535,685,991,226,351,178,829,253,660,773,793,198,388,497,477,032,321,474,952,572,575,603,254,831,165,336,173,938,576,742,217,450,548,582,258,522,774,078,497,151,606,178,775,372,447,271,862,849,865,161,027,423,459,624,482,122,750,076,779,304,055,749,735,621,730,508,250,611,824,265,635,749,613,864,422,806,318,188,256,083,896,923,559,220,600,314,901,437,500,641,839,154,506,258,243,954,252,185,674,658,506,059,024,953,003,378,167,503,955,434,831,997,014,927,382,428,567,985,200,525,783,373,460,741,569,545,219,146,727,569,323,779,988,171,261,605,981,398,356,607,963,403,905,435,848,062,008,706,701,951,774,362,856,551,089,193,570,233,865,069,314,927,363,285,905,771,812,120,084,199,896,469,810,403,037,166,378,364,964,254,772,736,334,406,219,567,467,468,314,020,732,014,493,151,353,423,790,896,664,788,031,726,355,314,122,996,375,856,475,280,508,344,481,819,493,755,132,697,814,883,576,160,630,864,404,677,671,726,342,671,212,260,767,202,812,370,567,670,605,138,159,932,964,996,398,035,454,261,892,152,397,779,834,484,281,788,778,776,939,966,572,200,200,627,340,991,775,812,828,400,578,589,542,838,699,660,496,835,424,655,071,016,304,597,284,246,824,765,507,011,910,885,598,237,299,985,022,714,532,666,092,285,754,997,343,269,497,868,613,573,131,877,366,470,130,005,308,318,263,192,173,010,884,566,050,053,707,985,718,437,588,540,775,564,101,095,467,938,836,287,794,180,414,170,263,665,364,570,037,491,179,994,754,001,164,716,215,675,271,616,014,370,130,546,022,761,621,796,594,864,801,981,735,152,997,771,286,588,805,024,361,739,176,053,675,505,278,160,130,677,154,348,356,287,213,925,192,415,598,874,237,174,911,668,334,697,330,595,752,231,526,582,775,027,853,290,762,750,840,069,778,268,845,666,468,723,606,252,336,997,781,788,152,551,378,062,129,206,680,389,988,950,942,707,239,756,467,111,243,054,017,272,275,850,819,826,817,769,718,943,279,254,051,619,981,938,860,560,590,195,784,488,128,397,196,535,212,305,884,977,881,200,311,952,495,217,260,634,534,839,007,498,274,744,841,156,673,834,415,782,217,354,732,669,900,371,231,595,497,565,552,958,362,263,832,303,581,474,135,520,209,009,176,552,012,960,913,935,783,543,286,484,852,520,812,678,030,846,805,746,354,383,848,165,039,456,469,608,371,851,073,644,646,938,232,429,398,387,957,546,878,017,094,583,045,982,778,108,768,847,132,376,414,825,548,785,541,766,408,624,079,361,928,243,846,290,069,792,565,904,627,253,207,576,515,251,090,901,441,737,777,657,302,878,783,783,072,097,203,548,008,437,301,363,499,586,621,096,702,086,180,740,998,130,404,981,278,685,652,697,683,731,258,685,106,973,801,200,084,278,382,006,663,567,765,054,482,951,476,469,631,520,516,998,443,306,582,762,848,115,297,491,984,987,906,325,371,223,454,774,356,841,834,321,572,494,154,400,723,500,852,038,710,742,981,090,879,499,235,125,943,998,131,122,439,027,751,470,267,591,005,118,458,094,464,295,161,992,613,091,772,391,243,883,794,756,148,881,020,675,740,371,660,684,793,789,415,080,508,084,697,901,591,976,330,475,142,676,238,759,395,130,466,756,323,182,373,478,823,448,802,841,423,918,601,758,545,432,459,321,809,827,301,137,300,303,691,764,469,075,018,184,455,056,163,097,119,339,561,442,187,016,026,470,718,174,144,225,008,659,083,729,962,027,217,902,391,991,766,513,194,932,628,370,956,740,080,598,752,423,525,921,357,539,018,257,566,646,991,492,068,420,360,948,209,846,893,504,023,770,001,558,467,127,311,374,337,581,956,706,577,377,267,887,935,370,904,028,595,772,091,857,528,318,801,093,867,247,306,243,884,262,918,341,375,681,750,506,806,456,533,568,440,999,336,410,604,779,412,763,865,285,204,171,905,675,231,581,841,931,118,059,522,333,877,787,348,777,061,260,754,370,824,748,993,356,025,565,828,030,661,401,599,211,072,662,571,300,128,637,984,870,907,296,974,321,064,618,549,104,542,671,803,943,941,249,849,085,935,483,571,951,260,431,772,305,297,723,738,140,081,380,005,222,178,976,040,879,319,034,321,351,015,131,503,238,257,156,431,450,891,377,200,140,860,940,321,668,030,345,818,455,673,335,660,711,848,242,407,487,814,422,209,487,934,333,184,262,636,397,125,842,907,325,823,560,023,512,409,001,550,360,139,081,147,528,234,258,397,045,360,346,577,931,398,725,848,559,201,938,870,116,976,662,190,658,467,467,057,373,874,862,232,613,353,245,307,997,441,468,485,589,199,060,910,505,618,122,635,218,497,043,768,249,880,936,085,292,319,198,789,375,981,160,888,391,492,465,778,893,238,370,846,000,855,872,429,352,784,062,139,718,806,760,403,903,338,939,429,435,536,793,292,084,959,809,918,469,708,917,416,793,595,209,067,258,082,319,332,676,620,806,677,734,515,937,013,557,155,451,287,828,089,729,451,467,482,025,372,126,370,005,604,967,084,485,002,241,699,814,252,509,265,082,172,734,578,309,660,119,900,527,651,796,055,846,244,078,573,232,683,812,822,670,560,762,827,105,764,697,220,071,031,566,282,087,966,986,150,105,323,404,485,694,397,389,419,782,992,876,648,825,329,220,920,935,225,909,379,821,646,018,703,194,098,634,850,215,312,880,567,837,877,559,921,247,732,812,568,270,287,404,417,092,591,970,854,347,873,686,108,751,243,270,383,768,669,283,037,406,744,692,426,693,686,157,841,935,918,652,719,065,428,719,050,397,452,183,311,829,379,751,577,592,834,507,041,426,225,980,334,536,113,449,672,878,099,069,744,318,740,996,064,385,772,789,483,900,590,690,517,443,056,255,225,145,974,252,500,058,402,966,721,749,390,825,436,779,293,511,492,300,072,992,360,504,582,955,965,957,171,743,074,426,589,023,953,267,245,787,680,878,625,603,857,320,960,372,578,879,857,141,419,746,489,723,846,274,844,453,801,259,386,069,118,223,834,763,767,242,374,387,446,982,607,322,468,933,482,201,855,854,447,258,344,979,963,799,359,266,746,856,407,126,617,649,752,756,361,168,633,476,533,325,017,509,003,096,461,195,852,653,004,949,286,049,983,237,156,245,506,847,223,941,278,821,147,754,102,441,774,321,398,523,271,929,637,467,447,531,285,588,062,079,035,444,196,256,524,404,167,909,757,804,863,443,972,088,425,010,998,408,612,732,124,699,286,380,560,413,696,184,386,770,754,217,880,263,566,620,452,832,546,546,861,013,682,414,581,651,751,415,109,265,835,285,931,685,836,665,176,052,427,198,428,471,903,987,255,005,626,419,927,328,494,275,572,766,473,861,762,583,976,482,573,019,804,263,466,869,621,101,952,811,572,530,454,169,212,191,414,832,945,372,041,276,338,809,610,586,593,676,466,955,373,150,810,752,461,200,444,315,477,540,464,048,612,886,938,353,826,529,615,835,080,030,073,143,734,516,628,508,771,579,899,609,378,806,281,367,886,755,390,842,465,460,468,189,672,368,148,227,477,723,758,891,372,530,344,802,632,730,339,262,203,628,365,051,593,926,903,683,481,744,064,307,740,070,936,184,600,638,226,200,899,777,168,454,735,149,894,366,440,658,142,571,989,169,819,284,751,276,239,519,750,791,728,717,270,893,918,102,981,098,666,237,798,150,482,640,557,862,923,537,890,969,832,393,210,212,316,044,554,252,936,928,411,195,163,192,480,815,336,931,639,594,721,844,970,943,088,268,020,977,546,088,393,025,271,299,058,473,490,784,331,046,682,492,362,640,812,094,443,039,536,259,189,595,385,852,951,170,958,057,494,845,123,257,307,915,360,381,994,105,232,786,626,958,925,787,010,492,467,343,376,840,415,694,042,344,882,810,857,782,338,267,862,479,488,901,343,565,193,065,981,893,416,730,098,251,441,915,705,917,047,636,864,885,726,964,312,054,457,538,309,059,998,104,559,899,865,298,566,754,171,432,142,737,460,042,308,759,030,374,208,665,617,275,622,571,156,339,121,210,582,309,823,823,372,004,340,443,907,299,012,398,694,291,543,197,288,577,067,931,792,354,751,099,903,342,189,886,703,728,730,935,477,453,470,544,957,494,220,545,970,048,898,586,961,952,354,691,762,296,754,061,059,620,357,113,880,086,811,087,462,029,506,772,511,791,012,493,695,786,223,831,382,916,700,520,961,505,975,270,888,671,701,523,604,847,290,255,577,974,912,603,240,068,884,833,311,383,991,913,406,549,500,458,203,551,949,493,965,552,944,268,139,697,953,518,430,613,166,335,874,122,162,651,273,403,556,809,055,072,096,664,805,613,487,488,797,923,061,242,777,645,443,288,559,074,507,049,043,678,814,681,000,756,439,781,007,993,168,390,852,154,828,782,181,253,951,953,809,389,594,433,803,996,347,765,537,227,006,773,765,089,285,696,752,278,571,041,571,622,958,396,965,278,180,710,669,046,554,919,436,367,533,124,351,759,866,410,798,214,491,050,494,685,416,793,483,915,152,705,840,566,488,320,068,939,277,548,477,312,318,107,527,713,277,690,786,804,676,506,165,013,137,879,739,839,597,666,456,177,918,686,180,313,004,394,657,243,173,923,740,374,878,849,201,442,004,481,529,094,818,742,117,111,890,328,943,452,525,607,303,206,543,289,036,921,943,393,499,171,655,063,716,252,261,949,381,462,303,156,840,693,344,214,807,809,965,928,164,796,625,391,396,822,835,810,129,095,148,063,414,407,939,043,004,167,801,811,840,353,393,731,220,546,543,270,739,348,320,304,549,527,119,067,504,053,811,632,306,003,524,547,188,071,877,924,111,365,447,115,216,283,833,043,350,788,351,532,376,594,797,587,304,204,179,353,176,993,079,558,435,123,471,949,284,618,021,277,589,248,766,397,894,332,653,779,569,937,056,944,672,867,795,777,104,684,100,958,304,199,613,487,549,434,153,227,064,474,180,531,525,913,500,396,791,898,793,955,370,623,199,124,092,356,096,376,859,904,194,176,914,104,593,483,476,670,098,657,989,076,525,075,846,944,329,900,291,773,641,676,392,577,919,642,153,025,341,516,504,197,944,709,300,759,546,430,430,669,187,862,810,844,717,523,095,375,654,862,277,773,804,432,483,312,764,436,605,768,766,481,280,700,453,321,448,804,423,041,334,171,197,739,550,720,813,108,197,984,861,094,893,359,510,656,695,984,930,873,857,496,823,681,978,207,735,558,836,256,639,657,174,876,608,067,525,507,650,578,210,490,639,318,077,932,471,654,783,964,243,662,136,899,796,391,432,438,002,621,856,756,957,563,200,733,548,511,785,697,909,923,235,795,450,696,061,102,339,462,609,136,397,526,651,130,857,168,599,378,234,706,355,032,253,657,262,397,896,843,079,073,462,498,108,493,939,903,781,889,358,680,132,459,738,182,723,785,335,414,413,845,170,659,787,356,412,774,232,711,979,655,211,577,344,524,820,903,443,581,498,863,104,433,443,312,385,039,461,263,896,436,342,224,596,940,353,562,092,809,418,328,530,164,238,907,183,903,319,826,730,776,522,676,084,757,970,573,614,661,421,669,330,975,271,942,588,403,578,736,823,143,739,163,289,640,057,667,335,230,517,199,256,234,331,914,960,199,689,927,938,351,975,703,860,228,882,809,760,605,096,715,565,871,717,828,132,192,662,029,305,346,683,912,525,042,573,533,601,302,860,052,550,979,589,919,306,152,988,064,188,351,131,835,290,438,596,388,465,447,897,540,174,437,477,794,361,440,859,538,950,049,760,627,107,670,889,906,206,899,896,503,929,392,632,200,651,783,932,174,612,958,166,243,980,063,752,512,165,863,829,980,426,756,728,238,008,374,226,907,501,144,758,476,945,627,375,976,519,143,697,707,987,135,829,612,210,188,243,040,299,042,295,742,358,023,005,472,511,014,267,561,080,029,295,218,479,292,609,673,307,660,757,255,353,900,171,480,269,356,315,706,506,716,058,374,502,168,363,031,765,455,913,265,646,163,263,486.861568048602546176
$ 69848977976245193165564450541794604024149872287624243063252728141937615056591737478377334365963323007796533039411537727251565076140244317461132415812485469766821182077702525260187669162515874734431438970278989255241096175850443088464899860982101365798176404072951472421618458030655129786715849559661972587813781754978303314834348510168726052574621272948733023512945221278875687229880018458139987474121926703082957472307742887138627146547005645647438619274654819075672971911501692519460153761953368441076006965440478732699799168709919011760937118938749286994377365365720375720388599205800127456988938033811785097497256777980906347538105847217975755210233492362078572978139505282206945825146765195036715961088962573198641477033041349007961464454287853238950910864880333758854787887280285165532081176437544244425876920360155696888281980216090591128176520136949379729925082240205056831841035227338084201284576422850595807107916715080638375512569372423129558753545830382945023085556669080552897448909135266466144726960730052810662416445851722988939417800068961774485858719071743944366390324182622049973120165096416880410549255215087589858252226206965756498973492678136182569068473202898939570970843139632527505053208333267072826942531810767048929011335203288539491688921425383630452496061697609736858484215752059734291694082586764657734450100613106929709557443963536319291804420029311065703305087988875305070747792196270898953685475431239077237101001810593116549780164388735083777354264097394442685807564049227789087709763085934898800052578337774122057957601849853658153822974207853647101318424242418630839622932093179382974273937376228295372810512244000501563952601056250294359729931356490034447049762607388259568236200176404152936449404757156973306673590102988931073989844125325586082166432595227861181119589582580027916668141975423957905155306344281836342770324906113923704420594191509838855983876516023144034372550781700297536138497460077189521511870872368653409625962033837237000210476959424974135966703003626543874103704657904389227058486969619634724602208087534955091130962489856338256610297843660791733657342118121318451120214569532935728642930151740846480039898808286102114719373932463001520484362763959975347575974400664394146797568322621649860515988146141951923579355735975034267624784163289917609468383944883649090786523789567313115951188157570080680298398809212899995465637351599114322941670660109207433724496156946390193083273367735520539434879636194674884668257180929608429045850935113753246020888509696133861465562648133506609313364258727330533613886860539841117243515329696144137260800763542001635699041865913822506648243843427258366172803311839558062811096583290451399562611173951756786634621446489283805433057940568014020050173046126592399921225750601593547143495183057875336626824753306762436656881283484860987641964610927109769233856255791800935679577363096177493909626574635407771865990645056787743909321058076360096213578284541609515992669063489754928001511078761780902686351267476340477481479904814901288636462435999586196056382202230691880946998906217035673599332720395171813965552231055095461651954878241748863794715924622008669736038875652871684591057333692944627814700167151325575635557834013142855177692244443837854756504892188503783677210164805511179042603299520549036499460869148255120256194213034505001129829206039361286700405355247106976123132807155395756271339601050373292918653712121753902896900145423267339972164835913691963424743593285261548775669052646218389342938058090553859134768858846627852535690121408809055921340757068089408132746315011390873517342671537609671342134887491314630627948906473620649830953451796001493038800429505120610522929417508214304928288832270415577013403503048870690547745359206236071496181328094492941228032132984074415475428005995359564816416361956653957259793280640761557292087509799396167929811672136513495844891331418128111242096147189245176914599453251591995139502026950146043802315671977926935328768630663416282194236646198721993359911238852674807404350137055291304027913711829831565114043052817754282808879307896585820041723000211212609299454218355494638799960794778319940227883321192669066483278161903515219617161627813135599210659034403692348035197828596976101020650278685321637135033337584538295116185853031432253712364068971929800405308989428317669476881284386752405012652303853774613406019752737663453540290029610474802919279011562672046830772738404287025727140377548163855899009203647147486225728217866344494152125753539859618331058970066420206289255646080843942438820028814523224764277864103860939898253268160903381294309012733249990198240066262194358312187594748765578117664870649942300701815535139155447814008981363079804668384379587651943850454769954043448670568045622249825937078658722211531921025075472072335627461344748332076581896070319100952372501906990198203669322251064254698741595861451646183903391521883019660198453349577855652613330109882918418054295296525180178634046566585424934177208268561311224713822713155036622405724923686885020682683732264282343195821953305960578804903921887635220294884601995181830706824161424669884425967422565220954717009910899638780968058756757736275772657591946814915438610247601809807232252527292576067121166634591505069785580466240289883040925906648310027797578487711951187950503188394613842932010855957402300991231546895250353979568889488815954041384755591594640410716308335388293251412205444470792549292399167378862021571452962385013998366203549536231315169581788954304489139699919968741205234925623970013374948891395984292956393528927555472042308434232580289961632667529997060429014308847775787339315187471744546161989057097532387007348817187788571539591041216848790221293198174118509112525091808801650873921758583727431993839405870496911964191421518309157243584588788386155530236901352604908729143891061439442760335973842274273470581270995496575669241448241531519762656060599813363230426373865657285866916051603456285457090174408838463967889137425629368752664781471499107720940282465452572394091345183221990193314906003222972013132563678636844120041250448469153176374670583415478723408366176417902744312282642634599242817223792490043931052949332735785164474531989643396716082921768300595702044427067302219765123094510079714749646928089146248915787481903282241444492847769927725101163968041600337812893128219644934012496264384272754509227266299698376039300011609998632506925150790777273982897324102912717328857734020530086428739665650852069723208461138874896181434621948397786217272737166616916664048852238872072632757109831835783092055649428846223443578975602808128249093838568741384321812873790347971221659965840348525600863824732256441853934808559147369633898159787841673005237427755888545074839964667208924526138938166733207119528318517543054285982385277278423237019638866631958322114378995697704530774683465032825802014537164748909709241775386178785738050106954521980520095312126485808050850675011958392717700507334153550906119579211826034520093257756372936838091035519439287287987427359675058012653143819177593952004814192383298970890782922840653712891980547648305305853003502402558225004271871461419518482314888115048288151105593457944819534973639128371899819375407417788781490385460714899200484918587539095201267073619084400371092984972948512832209393707390279196128438149340201053189918853308517412411814503954923335526007879587709557301505640373930852989556171236821200793184626117597614563061101621276293780534476444758868293631091085632423790569007990297224707644561678309141320454503724801177717392093058209449115752495277547881752371609646437752373504944096043023430055702893760383136993925378787762714273180047083974333702587308246332513277690797622326148083675218252203241219607120915636877344809344685825279998579244017920903043822757098203832995287537381847503024830822328875505754161618647252977286974849148281358965647854328303022231494387846412278159947753176854367232552874106894825207014964635737359494192828338485576366483889455491936058821909941861665379817997641385436208163553679928006959250771410689169728166706426234846556146250956896041841662688612825680724699150860086121637439516275173695583601125317882034981394190386431130487946600922597791314033025543289230640146989108144469812211042016324166272170566731095827759520089595691984664406545819439312469170569180704687791617493978094814105661178796509849690335475630154137218389508027001334956746859261866579410120708250297354034342424987258355758238863412517513039679822740349918190933505769430476741231142420128702833462680370346796184622653108646088111069675289202807267423526368175971700322757450460985616650126758879051653725079365056113071497768447899728782493005121460709567404659246208477878419645217341624069624991963880017112539016134697280731875031619448896992498371970477306962789313405819984366594103454382694799450419035611155781771463253189408019608573025497101126070426356776909270929404353425073282726675644358820215272409478327650466954974678648074259566505363639264124772816411063899356209605129715776853193937206904818786213727136015749517167437370257714445978078628370721310124587634540913984407920163353904084644042768302620780436052619569204850951614375494502848316830678868049524282267249373819728878932345336644877922150693194321586047900028633286872989231687071945894421426892300673986557313777620370607873483602311067331308587343739362718610620652488585260831833082361739917413223582785348295907599582359025421308533256706822781753140829548682589365059193242344346972039829565025446973678993493679777752122364716672336338103084202569432607425708506019703611849059956345750747900999088607466200344707424410486998236084269566619099160401685216450267962751131397913084948287339054692613626624615223603550448212069743361573145148630480632776800055.69
