3,144,349,993,037,614,677,792,823,937,026,142,109,907,883,043,059,409,910,911,951,208,143,248,553,507,424,320,206,153,002,473,235,945,792,986,668,803,143,583,866,101,038,165,330,089,912,274,492,130,273,078,562,860,450,769,159,217,087,481,333,245,777,210,412,941,042,413,539,319,063,074,938,750,134,520,826,781,133,254,352,220,541,169,440,953,276,672,446,500,760,061,667,193,315,450,865,804,584,731,099,539,816,847,529,494,550,582,647,869,944,325,657,215,373,306,928,373,469,858,207,402,327,308,886,045,714,797,425,807,569,725,740,692,939,790,057,672,362,476,583,121,579,168,801,747,668,568,077,645,491,461,020,278,732,816,472,463,693,339,471,068,213,854,975,900,241,041,297,438,416,337,180,305,039,812,136,086,251,129,593,265,436,410,428,836,553,714,058,303,964,428,607,842,753,377,099,122,942,616,007,066,250,923,327,206,596,420,902,117,188,482,227,099,832,942,358,141,900,054,188,091,288,008,610,704,277,225,959,909,602,792,160,151,901,930,336,299,573,489,241,190,481,172,888,341,336,965,677,539,837,003,763,305,396,110,432,397,261,535,476,899,285,457,455,012,362,795,163,023,683,266,145,010,418,889,292,986,803,261,695,171,759,909,961,149,677,878,045,164,095,590,237,609,866,056,479,051,446,527,497,544,494,620,623,759,788,221,738,754,348,996,280,970,489,476,338,680,295,669,271,417,680,470,751,834,248,535,628,136,727,600,507,338,643,512,155,355,466,995,122,176,198,447,080,231,017,977,345,253,344,381,320,385,597,088,089,323,732,293,243,177,743,067,221,043,830,440,175,376,294,482,062,043,816,505,770,982,115,731,757,677,925,236,556,918,119,893,728,920,693,487,785,391,871,966,903,362,943,885,672,427,584,723,900,314,817,687,243,130,937,557,850,804,472,060,914,422,355,647,960,093,505,718,129,599,353,954,065,050,968,539,077,804,801,629,046,600,146,046,271,976,467,232,010,848,826,026,985,789,655,489,975,773,040,604,610,652,359,507,017,051,773,391,387,462,499,581,986,279,370,839,478,270,489,057,744,397,526,460,523,993,773,266,677,083,541,822,460,552,665,794,974,582,432,317,234,090,631,947,954,646,807,902,416,545,167,636,457,007,831,026,320,663,452,535,769,730,669,122,049,580,817,475,853,530,313,397,570,614,955,749,961,978,869,059,077,297,627,321,839,345,334,216,698,250,193,054,236,185,709,172,848,913,583,298,175,309,074,174,888,130,818,657,667,961,720,752,647,003,089,846,375,410,771,866,944,733,334,918,643,963,908,552,230,865,433,723,228,309,424,526,935,919,156,193,036,122,063,652,601,297,328,972,518,904,811,175,749,774,718,415,095,141,279,227,430,225,893,808,755,813,413,484,140,867,866,567,062,044,373,033,994,221,512,213,413,582,301,120,533,895,388,856,396,377,785,887,550,704,462,632,276,743,121,717,209,275,181,447,552,525,118,846,954,045,044,665,832,068,943,671,368,111,000,167,202,441,704,146,757,339,163,622,758,829,717,526,236,886,296,969,782,475,073,826,317,347,052,193,029,524,404,738,633,034,094,300,622,625,660,437,309,452,398,202,172,599,227,901,908,673,442,338,553,006,789,443,169,332,448,716,622,687,919,384,319,732,805,547,641,429,260,875,199,172,278,338,158,871,713,257,110,390,521,475,364,455,462,131,366,744,597,977,276,680,047,115,800,219,132,511,378,215,102,756,815,063,164,813,773,875,503,651,674,618,762,866,401,967,708,158,939,745,761,699,664,520,677,794,797,411,097,678,700,476,009,535,532,951,215,440,377,047,806,713,579,576,741,876,668,783,257,100,349,193,778,471,715,015,683,075,376,822,741,777,514,728,002,287,088,269,493,601,589,267,172,054,275,226,510,073,088,567,763,664,414,334,236,675,672,814,268,450,324,895,546,062,980,353,277,606,705,817,013,444,657,812,205,183,865,673,136,151,273,308,702,468,277,248,298,244,312,614,676,495,880,972,514,525,821,222,792,225,559,687,193,190,540,255,234,916,067,744,951,548,492,165,911,400,921,213,445,510,086,033,457,714,969,427,632,595,588,575,565,746,633,533,349,812,827,681,318,861,564,463,874,569,746,573,599,022,484,431,295,177,602,518,503,060,692,760,707,572,020,428,643,122,488,754,886,942,466,739,968,583,229,836,634,434,013,487,911,826,234,820,430,593,849,623,509,041,240,913,036,031,369,325,451,878,249,167,956,527,111,313,076,456,153,617,352,779,521,711,776,159,043,385,158,297,414,625,278,021,758,664,242,339,882,061,913,346,031,407,786,447,744,148,316,338,435,808,041,811,217,465,063,823,110,127,182,754,951,108,320,949,010,354,193,697,467,061,072,260,430,517,563,011,877,977,083,020,203,610,973,003,340,074,835,667,079,071,851,277,965,571,271,889,037,364,601,910,930,924,464,379,013,936,987,721,732,008,363,758,595,680,808,507,557,716,071,866,510,430,501,182,817,771,152,549,615,487,366,157,244,139,038,717,897,798,869,733,103,564,230,910,445,892,894,675,692,068,107,497,888,859,425,851,318,406,205,135,653,065,178,180,666,549,488,003,261,468,445,628,213,973,139,471,274,408,797,855,045,216,038,718,713,483,406,833,992,298,000,812,609,559,653,749,688,953,250,446,854,710,940,019,517,711,679,745,896,412,401,223,054,337,688,198,559,077,624,269,453,798,930,271,772,926,334,367,448,142,047,092,145,305,468,665,979,764,116,760,049,550,087,292,261,485,445,308,474,876,860,284,099,009,899,346,852,252,225,192,088,458,302,059,093,201,791,592,081,038,931,118,216,566,180,854,713,437,920,963,842,423,165,168,704,959,717,714,391,982,108,570,905,353,275,995,184,621,880,958,235,837,838,543,800,511,207,880,677,586,268,030,683,959,811,838,721,451,774,672,089,331,056,799,266,129,191,122,757,145,697,028,865,341,987,506,330,409,842,957,426,016,970,384,643,128,417,226,049,847,202,769,954,590,852,126,569,927,114,274,842,028,154,522,098,515,675,171,673,156,084,712,012,365,987,063,464,847,482,185,758,997,133,443,561,455,141,513,490,543,792,090,950,690,846,744,713,792,201,567,169,139,820,783,644,391,293,589,690,820,291,448,706,588,890,445,995,853,131,362,859,702,120,665,526,587,047,381,499,661,330,590,816,407,823,461,631,013,696,097,371,749,594,824,279,701,820,270,260,408,723,612,109,132,762,913,128,982,328,497,963,991,141,464,970,977,089,224,134,350,263,504,093,449,474,682,888,065,584,748,515,712,810,028,692,553,680,498,811,777,509,650,053,257,560,625,021,880,458,986,659,908,970,170,710,075,190,024,123,164,775,857,809,373,258,110,299,198,334,961,229,495,775,816,860,295,800,008,796,275,348,618,058,328,195,355,889,542,418,257,835,841,728,600,716,967,819,271,394,636,393,654,255,618,510,331,419,258,207,795,880,779,430,394,650,070,900,260,386,266,887,891,206,612,185,620,659,065,794,491,326,852,629,519,026,616,128,421,235,352,682,435,964,976,344,868,703,878,201,234,736,354,045,910,649,232,275,832,892,565,737,664,047,507,752,119,252,426,688,855,844,569,464,890,145,121,663,208,599,933,416,193,190,512,063,387,687,256,691,303,332,697,851,764,684,903,021,249,309,192,900,069,892,880,468,322,201,315,161,228,675,801,889,762,508,030,564,506,781,475,424,521,427,812,356,457,196,249,994,374,191,870,143,791,274,385,905,076,484,232,258,493,713,403,836,309,343,855,718,658,723,882,060,975,331,101,921,027,738,186,149,961,700,052,472,902,216,872,788,332,029,192,399,962,840,808,221,473,548,170,106,962,799,340,404,538,038,735,785,146,030,681,903,640,337,340,733,464,016,187,858,313,307,352,040,670,124,263,273,788,154,979,831,681,159,105,817,469,049,162,118,445,992,354,732,696,162,278,176,056,353,141,266,549,998,176,019,036,872,434,788,451,725,487,201,682,947,444,199,882,351,152,152,122,051,944,398,274,984,405,654,234,568,456,632,245,109,082,651,787,986,218,075,522,300,579,377,229,477,636,366,327,699,693,091,874,287,080,791,113,488,226,416,811,457,285,511,322,732,552,644,021,287,003,474,986,219,811,343,040,448,117,370,710,125,771,218,531,107,078,453,703,060,013,661,947,540,868,314,015,638,705,517,045,299,050,983,744,407,133,595,373,505,787,367,121,754,424,170,870,212,972,036,786,901,153,264,173,144,480,150,443,135,624,594,167,666,511,683,711,598,954,173,720,301,365,516,760,949,071,724,857,319,535,751,386,340,881,503,680,638,886,755,229,698,472,192,700,713,857,329,071,276,254,509,033,164,082,765,655,411,109,003,460,676,632,375,068,488,609,942,080,219,239,056,521,713,609,237,484,505,415,870,070,147,402,469,166,013,904,030,814,980,700,814,657,130,297,476,882,198,457,270,563,773,848,930,320,484,279,125,304,180,942,635,825,607,834,796,439,561,776,337,758,955,417,268,657,445,451,859,843,262,429,175,846,300,664,553,519,212,165,082,835,500,272,312,796,426,428,056,800,570,107,916,523,172,763,740,552,809,806,827,364,178,319,792,751,749,271,644,243,217,232,894,071,462,970,753,081,538,903,611,777,184,823,517,970,739,352,971,084,902,650,496,767,626,120,387,852,647,067,771,931,791,777,038,246,003,675,449,324,251,726,311,383,288,970,553,022,869,871,385,032,248,879,529,438,023,286,878,696,635,696,341,834,364,383,018,191,638,916,243,749,376,248,242,275,092,136,686,213,092,316,186,626,199,230,192,633,918,308,976,465,352,776,926,754,661,552,391,078,748,168,098,370,687,397,013,720,524,713,051,834,565,896,810,445,666,648,577,808,482,123,777,848,554,999,765,263,090,200,417,563,487,899,787,811,104,376,724,603,237,641,460,348,218,858,621,403,061,682,139,042,836,034,593,419,368,856,717,139,832,421,932,508,282,640,656,845,987,996,697,027,847,872,267,737,275,850,694,081,717,606,125,550,157,501,554,447,014,409,498,312,675,337,357,939,063,814,100,246,341,558,750,156,364,808,158,767,265,185,212,142,950,041,637,172,826,941,844,234,422,785,775,079,824,350,319,202,322,384,246,676,443,958,584,266,693,631,566,609,431,879,418,934,367,499,871,884,767,156,811,820,284,058,844,449,229,813,805,102,663,442,728,110,549,499,688,886,152,567,340,166,765,575,391,118,056,493,955,583,098,463,657,542,083,086,874,986,335,022,841,131,738,815,635,908,426,395,359,731,500,014,900,661,304,187,877,919,158,544,104,429,095,124,110,378,873,963,420,727,042,228,778,761,762,638,760,880,512,437,487,294,575,679,934,283,652,672,237,837,939,576,982,216,220,840,127,691,719,468,522,276,937,530,535,970,288,259,739,580,577,711,740,016,805,776,375,889,033,866,748,578,298,876,688,575,930,755,658,246,573,643,056,067,759,603,342,981,445,767,949,369,888,071,687,286,442,991,340,768,150,277,285,077,906,958,604,031,610,556,898,167,615,032,136,186,619,771,433,191,942,889,038,593,449,722,818,717,154,017,395,945,389,942,751,637,707,345,931,785,265,513,759,013,658,785,306,158,374,841,452,057,418,714,512,372,401,455,908,405,669,726,631,866,925,953,766,263,939,663,843,291,568,448,555,110,713,219,203,002,712,639,646,127,420,270,235,816,799,237,694,111,301,941,428,258,735,204,282,081,951,519,398,033,395,403,132,916,946,138,695,280,071,453,130,296,025,993,298,555,396,710,992,459,685,244,417,165,399,184,305,105,427,318,203,782,905,179,578,818,041,754,016,323,225,723,088,214,926,896,391,953,830,216,279,338,463,849,588,781,337,438,438,350,228,526,264,556,564,277,116,094,031,774,283,476,839,436,725,354,905,400,686,175,056,705,288,368,965,721,908,087,871,756,360,027,759,982,735,958,640,655,537,234,424,806,677,131,777,405,019,848,557,300,563,567,076,772,028,560,478,630,036,440,620,804,346,219,075,183,842,079,302,480,418,048,220,571,187,073,114,170,712,152,740,516,882,959,754,315,510,699,163,653,996,073,466,222,274,101,060,565,870,933,778,236,361,737,814,449,695,878,078,002,415,301,902,796,087,963,546,603,762,652,035,757,630,010,578,966,590,209,836,364,572,075,497,716,933,404,016,516,347,167,480,716,482,920,283,211,517,487,888,874,802,961,327,455,732,864,884,001,625,634,562,284,009,701,409,266,465,489,259,106,922,556,586,600,102,276,861,612,899,643,423,005,982,403,440,948,181,561,416,840,016,757,721,846,339,188,076,829,034,474,128,600,756,839,233,569,010,943,010,794,727,074,041,999,723,018,309,281,376,695,089,164,796,862,199,442,476,272,314,930,452,616,771,983,461,590,649,737,666,207,379,511,485,070,218,190,296,261,056,918,882,128,264,063,531,549,434,546,900,411,878,527,105,611,320,040,861,354,377,073,100,345,845,128,328,625,351,873,388,218,903,515,318,864,455,226,770,761,355,272,396,621,085,761,124,899,174,491,043,759,416,653,064,601,944,536,931,424,942,619,914,062,477,393,890,172,966,584,175,988,947,838,959,896,710,483,693,335,757,294,373,436,396,440,634,020,397,808,610,417,315,479,330,195,953,057,260,905,628,167,657,593,170,643,506,302,617,748,341,478,937,993,417,724,264,182,116,588,493,369,000,459,935,842,087,807,515,608,675,413,525,468,084,455,231,077,340,825,465,376,788,020,079,860,974,479,959,123,570,423,333,706,757,566,075,868,304,552,614,205,320,016,767,329,107,879,043,858,510,874,711,069,925,370,025,386,057,561,164,371,047,147,444,182,841,806,823,041,507,599,861,100,292,494,398,189,218,080,814,016,191,367,411,077,363,983,163,894,990,499,676,997,083,641,206,776,259,318,240,351,315,329,458,684,749,148,535,451,582,010,311,120,035,020,736,276,570,549,534,559,181,081,700,158,339,184,597,335,820,575,748,846,174,101,499,464,120,510,346,337,131,200,987,688,009,105,727,151,825,230,312,185,841,083,161,909,973,227,236,027,735,764,035,949,730,720,575,961,007,564,864,816,159,376,993,420,344,851,255,582,066,355,166,235,599,545,986,332,178,798,420,875,976,331,914,431,418,538,587,279,813,560,117,503,264,453,311,507,419,947,674,334,006,717,999,736,765,311,152,982,794,665,224,602,213,620,684,161,298,409,034,179,626,979,484,618,485,512,252,515,760,047,459,842,018,704,813,607,716,846,282,483,449,978,975,054,211,836,669,853,051,913,677.971364569776390144
$ 31111959536269412143346229711030251970707132322230690104098984587632554498362369483502568032025810201891683578727675626839670033939937779958916927812999801930250573363497999229531112354952768470188126028414285780715893541222642465455843635415323190973214506176516626876092138963473232013023510845336062649083825790439140892578933395255906141382693680765647236716671964670058782464526301713790694569840227465997168716946702719145182266894083895518045254274180386505933657127719953941318939544295086957913432349977819961639481255785444130377577548488499393888108677514374692834900398058070021485098410218660760850276157067135919879854352273936167960912548312733141513215713783986600515186791097133167970546218393904626996665193367635029262398710047983814681295934140811179403084755109574503665599755718128652449800786895963741417662294944514082930533313365363251454616871998190932059591495075535718735382879721842798081740359043723985480879447545061209221660222432085087730501240439168552752894259075288358080371413773622335327391375124555827356628996038682859997505375481100135675778311485844997219066890044210951959693994631854322998879271723240205691568519830002013951611157970894914947517922572516989205346453637133827703440534582943660567331346442792517114472359455880115289206304428261990099901886351644749906462697304868544311542486471863705913587839319718395815537838266822909180012674670675153987167822619031563937575283900223536567522914500527167077056725194990469001452659962427679597527966454878366297170854471002123287181891280516438543488913544729361414582852583760844856719162805113986851460060959957682069760131753598993429930599685301944427957737619944296910588070430521912250167284987810229823980078158854416071919700211903851741319099386331360592671346044158351016883827563854213971567479949860442644292478573793913350298375636837371311960206827208580687607571188627353045101807588986140961098829078784757837034596232918650277936896337451395739870126115547538356989228813527591600894860787767821965696602828731608972955492968118450103025156837689252710624360310573585510252645913655085727880103999472145601890049311059423990241324202953059747390991509433657189202481131323950958375529651418355661960788696377801270180042867822018987117102526525066168281283728869834691297829380424031622330204100301264026045350368528141283007064872182432222765924060912924580578329344473207680633613026065339257918158356109500263973751229508594633036262656073231542721996341348722170161236892118858418223680525853222053906783912328998714197627231119203046209569798021185213564349790450674770555094577849515534205703199141739400606384940118402496880434892784224061112338006746969706721134793074873599215020672661059920258972165099735779684872631754358381529005760709077908920439123986091264850654974245923191713797942378047618148097335287124149337240570520784330968129851261207452271040668892243871241785064390754122765220626690457696766444187467120245321974615055171482632967955518017643950808712127791608392449836837877467335244660554861058855631983895025785434210718517934078654356653242815314562439503841839991583697065343381019521107986947966056871362320527657785980821490909014244233325830057540667168336981754326959734183132661695110246422923849379921347490192752971043344577544104530407672565955165002222251520072907646156662937033513370950705535987510834679255657263145811000205515213688080463723473403238859032056435674043253784092042639327390171138597677687617794911819628991583293617406311486937451482530076379906918038299359521840328513094303941309520214341077405888519454541583240784439341538399893615774597487259774836467751130701091376679779792067191578203977279101894000074770266435890122556691836396995910979891296024359928377669683746147064846367277445469086553874956713018449225842061827074089243607716458024436729162721994083001717905501703603757376232405976553820973947893993908509364391592503237239350908700399197297629984376030200499063678869400062450874345532101267507997774209780817249792907449912121339674097169822522765356107528136014364377467089460723418172116263439212708145464841859450044709200659479944589281903073940738813980221170611192248035790438130492811417733144400080037275413861166774651726739936584436298358869326583491316491881833133877736063354385627768699047830565138467482809852193971385894042956980695645468674649280712171136325822251228854304664382508232119663685732893694414698144579793125074788056251828126066605442109991547686331085036401831378799267501618956472255994335662067895798347132692703059076708905807097026326267637999575232658064057486843147463815617106454439196167146267316606317283509897948401774804026208768972979702724287097809951255996210469134269173316693875855908308862146876321030851350095660441218042324006785051213138748211226495609384996211308392892647947138797111545255709646653170088411236724848665071151084879337711793131563388746698664873493049495211923696181753972252495623630491280137130894776500501906399681631135703347364771589126393354701659776852425507124737976817435100396251649636346411744435504708023194127734225511921490494502447662302704633379883277847156912772126072445658006986736922503502985449587453190015390120735095934271181321363979632689695796629670170124231852594103074378493546467932323955577503036256807395103315624124078203264567910633073412287336443805643411343598338753061572979304010422599789816222544199187191761902875049834969373676760826896670587964218003969180842540917367506042351531193264134393030629280622700330793130727136744073568573284591986804494091448955438471607009060737441005987288794120734602086398570454386439671668640976670984652060982557565766265464006692973960250874667630459375439689379620022788244849408049862651488032878033491293936898840912170380146978588424074505195371940799489750106505844471359831818319239939276190251731968280266867892637458117408299060296537540813315582522794259864305432673099287719323491131927596730159906118149016042285906174993768076196084348933157742520430629820663356153283238360342924485192925149735577246509640524873280930624974484688939935185843789704133034733077447626636996519982579845813959975821191671692405319643391216493014151352026767535615986602777177725478909979345005592441931314137708253073515983439671932379595382348799410619502100602883202181726441779779195160438681725674371395845857422522477424477634667185584098025087312702794477586095931369651287372490259592038241025389511221052136954887212121731060267728531412268416000751760596388589351032328127987174383152440187275040511907757031888576490416311247306066389338638295605011506241462857576974402939549225566169866939469354816569499040675970785507890612381462702254319655367339810048302891242285709278685238681566754245062748566221368297439159234476700699874747033833727665391980199487918483686536396643981171723988593256336251964796697527626767410814560588518336735873310331684356934629470606110271363391174539342080050543845489462078083501869760906235665759077347248891020788700149624248730398937129454457534470401758520382584776746033686402125466753909885125500396787917410389281833608129376215726159209954218103926730619480060116140870402302886410324247033133804994425027629202423116401864164220222411907293161300142929762299966298672197703053108822569268969308762377846467484065412549173264027671974014407908934112040451815803606683705770142280241718499719713625684010422061084210114076638665691078843559809399039066354255839064822477670187496131839976878628053200403561608202023207807417292769257506725235908899128006217573874771793290626215774124660941055031320286871023449735502395629619714932266144759303473533718535623946908473512488324057135773117469197592527934711933730784507435285788780367790923652275881678872995325570032704813645650834401783757470516397025687095484673239047491891435977695403385302213583816681086713577080523427066253441505812085578928745527749355575814358254650017941695269354477103563672350005298225255762088102846680434213666879305656456448302188023422101437985892547981789307232936210200411822184631617437133707579354977604908504739099802955901990393948919830425365221497306812584682330405144111903629314600579681947966676541543270497353884304168640473035666492054116384143546138166256530091977480815137850065270355237541751204275243549063507677865821288727164577451493294328738866540188355424311717465800763573533613538133268718365696237723142258143539809987576546088796376986256810457664107095043612395070696320158066548332515384616572950345052712544302128924557599123483973207368520792848583854250352519433160130982817825853435984950603602853146611359794566602576682962865176022211648810969784257345081840302442032562038098424341003606110555880747855563809673997836987922139686824993084073543942679756215055076394163646342248167392888671200990791003358823807438515152475817283994273115936617785758520405488986713815635365973372627874074486454950799785377161023412304821905631599464769177831848187265884131253148935350236525995697526463686821481076975921173367922948786560672725526729562557591003356840416087428031971625151559854691662945327635007342517791870568245894308488392526089681843690077338212990463794835896882067056407724911041913206767097732958253826341459384195648510427499826185395694135282923102960590656473972460000966280196159958074301301853373873551540508490885774060601139503061185307557901113799625022923903418427062683269841566452041852617419519547578373283438493777597385992557191344469507561627257432551792996287206200679955010128838087088160412151710639499484641367471138675279519860260461675550700347363949089319640506097806976867981064109801826374546416932449820136710406311612061545013416484330967534444669058252441598003869057953471189594987893421807415200730232112714798939784716826338865848633.63
