8,102,711,471,532,756,866,085,371,391,691,240,816,768,734,994,669,367,606,161,760,324,226,839,069,156,369,375,481,404,089,615,342,399,488,761,250,205,936,372,436,223,324,134,624,950,896,551,064,848,811,656,815,636,134,243,364,161,430,588,377,033,781,403,031,257,204,542,802,727,693,520,402,602,569,145,930,828,506,006,803,386,204,323,957,859,889,920,838,978,267,974,004,447,157,690,002,293,282,022,851,802,020,897,866,671,151,710,412,763,307,527,880,778,557,600,076,927,071,005,237,311,277,218,863,877,600,157,056,760,808,491,988,831,192,122,648,427,074,705,927,956,892,297,849,064,847,314,487,183,620,162,508,943,869,211,962,462,094,726,091,054,845,477,437,531,764,428,635,285,736,954,937,441,523,009,666,121,364,976,291,559,525,075,314,501,887,783,492,449,221,998,760,771,400,082,107,260,587,891,895,356,495,733,665,852,972,885,076,522,634,132,360,289,486,020,491,564,571,565,496,963,107,199,040,589,499,711,263,335,379,437,456,899,245,890,477,544,748,830,152,581,603,418,203,828,632,982,430,394,753,190,686,093,555,754,163,387,127,169,134,246,705,075,469,158,130,513,378,328,287,567,603,477,374,983,444,135,717,277,899,171,291,392,507,361,818,496,835,299,508,797,772,965,317,228,192,651,968,269,769,168,518,719,976,929,659,407,150,725,584,016,844,901,118,569,233,248,130,700,099,069,541,715,360,392,082,454,847,404,575,136,789,662,192,509,638,795,932,738,835,377,344,990,836,216,164,390,659,127,364,710,811,215,300,522,755,083,728,532,191,678,738,941,262,830,095,887,586,106,074,956,823,171,706,831,614,500,897,297,344,466,429,999,726,778,140,140,312,147,994,542,569,704,901,192,302,686,393,264,816,593,227,508,490,567,726,139,135,956,246,537,278,378,643,023,516,160,747,635,751,978,875,866,714,640,989,616,972,365,010,835,307,036,969,477,291,772,379,565,701,429,854,003,999,128,712,459,861,749,203,944,126,039,176,996,858,167,505,301,572,938,597,791,843,167,220,210,799,544,980,462,193,455,005,440,887,666,277,539,551,773,567,762,547,514,845,949,043,509,748,454,399,397,281,434,653,917,070,069,280,004,419,261,195,234,235,125,853,660,349,382,955,612,920,673,905,294,461,221,014,773,736,496,329,483,510,707,208,864,315,543,720,407,919,502,375,958,447,110,867,401,725,947,921,006,493,339,576,941,638,185,495,150,309,308,038,721,448,400,619,427,097,999,181,183,025,558,288,304,234,692,439,351,148,353,861,151,038,184,050,099,869,450,776,514,461,873,871,691,713,870,743,115,361,671,283,733,258,109,510,556,878,041,445,287,688,589,108,554,424,299,964,678,421,385,549,878,409,052,508,633,886,958,414,408,792,262,779,786,717,913,661,980,186,319,295,301,677,941,189,398,667,038,219,055,639,992,917,127,560,486,954,840,427,964,630,842,862,003,456,805,456,172,636,873,308,330,636,853,312,737,523,263,804,429,732,705,718,906,390,502,068,618,578,090,779,914,793,455,159,562,524,327,423,713,420,603,776,981,746,988,348,950,399,945,885,457,012,971,276,740,751,658,076,950,330,278,672,264,833,083,331,680,732,221,167,062,730,861,607,531,824,336,136,900,535,721,651,987,548,427,087,202,338,795,237,707,877,107,738,070,908,648,878,400,793,302,091,782,010,448,621,889,966,563,827,095,190,933,714,044,533,720,183,980,757,349,170,259,777,888,144,745,693,544,263,410,451,067,287,237,368,223,266,505,954,788,321,891,782,724,084,361,040,324,972,551,558,214,686,983,726,862,695,098,863,171,539,063,738,353,045,464,721,996,436,977,134,532,552,657,724,028,350,587,480,314,695,493,551,695,763,601,774,647,913,950,515,132,579,650,697,423,116,635,246,272,299,669,477,210,642,449,866,665,225,860,945,571,826,089,281,197,086,168,894,132,265,827,475,957,102,826,827,924,689,579,460,197,116,109,010,890,699,887,521,100,992,608,945,815,749,378,066,624,456,808,579,811,705,527,860,101,354,470,452,347,610,753,892,563,838,593,806,294,399,531,617,659,269,878,088,781,670,318,510,673,563,774,010,271,253,566,245,525,839,428,922,053,350,313,811,150,103,644,536,729,722,455,109,090,000,682,973,668,241,473,655,269,693,148,631,440,568,124,824,027,336,735,350,556,607,455,917,839,898,755,773,560,341,769,199,502,997,988,092,480,097,255,906,058,190,252,072,098,495,437,607,319,526,729,226,380,100,195,630,662,670,827,734,794,447,940,546,337,233,408,908,665,598,491,215,179,999,182,146,106,609,959,802,552,373,752,714,337,481,497,683,904,040,151,123,842,902,352,769,289,007,024,599,145,739,115,317,314,420,987,328,038,747,187,370,556,624,293,094,161,388,839,585,666,322,732,992,977,522,046,504,696,596,283,177,399,217,341,148,635,473,522,177,536,543,395,855,925,373,091,998,354,160,213,712,043,030,569,963,480,729,577,725,475,767,221,440,207,077,042,288,117,572,404,104,015,544,010,072,343,955,019,308,661,074,966,325,188,834,888,325,766,951,466,512,763,131,466,310,895,249,229,699,883,191,549,860,866,540,594,425,196,324,599,573,128,388,620,485,039,456,839,936,653,745,807,026,133,220,875,696,086,808,190,990,482,832,037,562,953,019,494,636,632,611,091,556,176,881,252,622,544,998,984,678,695,465,677,642,954,573,553,741,509,350,833,445,438,645,426,899,190,278,542,760,864,310,174,514,611,622,945,141,697,329,409,276,841,147,081,057,698,548,470,437,001,953,519,184,339,642,104,351,276,448,719,060,326,617,662,357,709,352,444,470,821,493,072,032,320,852,888,493,476,105,800,753,466,141,982,651,361,034,366,977,151,033,546,099,196,033,216,355,650,997,538,001,978,410,424,099,585,247,415,319,471,420,077,580,407,857,587,842,538,474,998,450,878,538,523,413,461,661,868,063,237,275,827,105,189,087,097,500,813,060,185,196,345,086,978,974,422,530,146,246,729,483,366,199,530,535,544,951,986,913,432,706,568,413,142,380,719,677,902,652,900,946,259,978,617,160,298,460,549,282,234,602,731,954,719,441,827,824,708,626,407,197,602,004,895,525,786,004,052,188,451,908,861,047,097,866,951,525,240,241,483,807,283,991,493,273,692,482,822,422,089,547,812,214,520,647,853,621,961,670,005,396,269,750,245,575,340,122,825,007,302,265,500,613,605,953,327,205,166,510,231,958,741,044,246,272,662,904,392,764,803,146,104,834,804,725,521,781,518,043,012,499,601,139,636,586,240,029,876,178,175,673,475,158,290,503,807,970,038,308,608,361,316,966,370,787,909,362,037,050,404,249,104,639,290,596,813,843,556,862,355,861,731,781,782,251,515,223,890,187,309,682,797,194,057,985,985,450,207,908,571,269,243,368,189,248,949,493,671,004,615,048,191,745,299,194,404,479,500,220,788,230,915,115,251,783,088,851,710,950,633,335,131,650,095,959,384,496,106,312,826,111,691,079,935,758,588,810,455,235,607,630,556,691,527,327,128,177,171,285,491,558,879,222,139,717,604,755,798,807,875,239,879,091,402,769,425,967,273,857,088,977,261,806,454,553,463,730,855,051,928,195,087,780,305,542,048,286,639,064,512,029,568,226,181,730,137,063,621,681,941,627,201,924,366,718,562,737,726,374,115,897,854,759,961,536,433,365,419,287,441,089,990,814,036,083,713,213,907,660,871,957,617,690,514,292,057,933,130,092,653,248,148,235,080,718,001,637,876,338,770,598,791,128,819,225,040,643,979,327,902,003,563,061,254,936,661,251,788,266,577,938,382,647,747,663,339,373,609,441,551,856,594,087,297,678,408,253,880,636,912,576,097,933,741,149,600,646,237,749,713,773,845,291,678,548,480,258,319,938,424,695,350,733,749,668,125,447,608,821,997,087,812,208,626,990,332,053,776,132,899,035,638,083,273,284,784,825,336,458,078,140,055,444,139,341,076,664,638,359,600,179,150,243,973,086,595,277,201,386,169,919,469,311,507,117,520,902,746,010,290,780,848,403,961,229,712,405,312,917,177,895,355,091,975,707,804,548,652,503,518,593,449,369,670,900,740,754,195,290,408,203,959,587,635,264,101,995,534,163,488,473,860,340,100,999,616,435,246,784,948,812,424,389,461,448,732,012,660,185,791,260,154,594,552,693,153,445,185,862,022,359,265,096,210,661,287,912,942,007,105,296,967,809,403,371,815,021,007,877,784,631,821,503,337,445,821,210,408,041,150,019,806,095,438,312,810,313,029,278,158,415,509,734,730,652,160,632,763,893,684,379,030,853,411,202,981,219,819,403,100,780,682,159,790,357,418,386,856,718,263,068,309,927,921,184,412,841,779,768,793,502,146,299,835,539,814,619,080,706,068,181,122,682,507,449,907,685,325,061,053,650,952,785,839,379,153,020,321,737,433,285,596,389,014,855,337,010,518,792,040,543,578,451,714,386,524,148,137,616,841,466,551,956,460,879,956,299,832,514,935,921,118,970,940,920,688,146,644,056,926,960,385,032,638,019,805,571,119,780,084,188,982,616,876,598,355,744,611,824,010,311,360,475,017,303,324,306,273,517,619,780,521,041,281,571,912,703,927,062,593,378,430,022,213,480,162,704,408,272,975,301,998,453,785,336,053,706,736,427,642,460,489,858,899,789,159,800,473,677,962,206,039,702,615,900,843,369,298,668,976,114,584,601,991,082,447,584,468,263,618,884,707,477,175,458,157,874,896,742,214,924,968,798,190,668,214,133,024,353,970,738,639,306,259,665,781,409,948,468,075,251,717,408,266,807,544,592,795,246,435,023,498,374,947,767,952,682,578,270,261,131,525,411,781,592,017,924,485,767,556,281,386,232,225,966,229,338,382,448,731,461,890,131,180,110,032,499,491,760,517,103,981,996,350,749,759,533,988,806,623,100,581,267,943,643,472,418,549,822,308,340,676,224,872,698,219,494,763,571,761,684,796,450,730,614,551,519,203,130,429,226,754,291,112,445,317,731,807,380,263,281,683,916,061,936,680,540,670,615,730,537,289,895,915,572,952,596,932,249,461,836,408,860,792,649,061,977,472,073,201,886,892,786,754,722,983,381,916,271,178,224,740,342,413,468,525,573,336,325,309,842,112,970,064,079,899,445,294,255,383,573,928,710,870,157,105,662,262,817,756,717,137,580,769,165,297,246,385,433,286,189,996,075,686,535,719,338,498,888,002,376,481,028,972,001,803,762,022,730,001,582,599,954,470,842,795,362,464,470,146,429,851,569,432,387,942,635,973,050,447,644,481,993,531,009,906,183,355,822,214,121,069,266,227,062,840,620,708,601,779,397,048,029,108,457,518,154,550,985,290,779,971,164,424,165,277,840,197,347,209,740,342,662,059,801,010,172,036,173,720,520,700,694,773,384,534,683,258,635,029,458,444,662,559,640,107,767,602,876,090,356,897,924,248,647,111,775,123,562,784,281,629,959,278,889,857,728,559,634,115,501,421,297,623,032,128,720,469,755,441,636,594,476,274,149,520,498,516,560,113,031,494,007,247,091,338,629,839,013,139,278,766,515,487,591,288,484,990,766,693,695,516,862,573,775,905,176,496,105,481,594,402,003,818,897,449,772,627,945,195,968,148,953,822,339,162,333,573,676,051,311,186,047,179,580,113,164,579,545,916,051,767,887,379,520,116,880,288,437,668,591,274,955,640,813,659,762,294,485,398,073,635,063,914,028,506,188,613,066,261,666,028,021,969,621,419,638,647,488,926,754,067,172,052,046,940,640,824,804,278,496,250,094,752,645,649,368,295,931,588,447,215,301,757,740,985,812,864,163,209,881,672,782,840,139,982,648,379,042,110,356,949,111,911,517,304,685,487,217,266,014,421,142,126,667,174,203,295,707,151,664,515,453,513,341,811,344,340,644,722,192,412,828,508,560,232,447,922,733,692,153,702,947,920,670,325,167,730,343,522,084,299,363,997,765,356,127,666,941,306,159,675,434,346,597,384,787,679,532,121,216,526,834,473,762,655,262,156,019,058,308,819,066,060,607,931,677,380,906,769,956,609,652,148,598,613,825,868,256,630,090,048,674,624,375,814,733,768,419,935,950,706,407,129,342,374,002,311,400,648,326,910,605,040,361,930,446,297,767,838,784,635,936,216,962,593,461,142,456,306,549,848,530,382,599,894,201,089,868,126,231,146,354,154,842,698,205,595,547,654,356,538,642,666,640,610,686,819,917,366,323,997,610,721,308,665,624,462,971,605,408,111,777,511,224,357,301,790,233,510,261,518,775,693,842,527,455,686,767,725,128,529,735,588,306,230,563,588,474,340,828,078,149,483,149,741,301,625,669,726,542,462,113,830,887,134,570,632,765,091,860,722,346,624,436,984,941,150,537,788,406,276,350,557,135,015,055,859,073,440,503,433,711,740,187,348,128,713,169,899,057,052,237,586,811,237,171,821,929,805,457,571,566,976,420,123,469,574,735,709,296,011,969,806,098,147,868,784,583,383,925,028,281,085,424,844,774,131,737,162,325,828,493,179,767,962,044,491,201,137,281,584,549,169,469,940,539,557,868,066,466,684,544,710,531,600,288,124,187,539,916,505,836,964,455,682,482,326,013,946,394,351,707,454,815,399,437,524,080,146,874,137,867,094,166,310,014,491,518,674,075,805,529,458,585,260,307,912,815,198,006,953,051,716,030,274,498,434,220,033,672,391,443,298,940,032,052,278,506,041,438,884,283,065,096,842,337,187,551,922,583,399,680,317,759,181,528,341,909,751,066,581,641,616,817,844,563,669,527,546,503,555,491,178,988,799,923,167,309,626,680,017,582,773,459,708,907,605,363,168,183,066,824,898,089,517,585,197,540,060,277,630,970,169,891,349,790,947,756,068,329,310,057,677,188,693,729,026,449,832,637,717,548,433,614,997,144,363,353,289,761,226,772,551,435,606,811,841,808,805,184,810,111,215,210,113,461,959,053,916,642,276,904,901,814,444,662,081,662,039,479,652,610,850,476,356,218,776,959,658,538,188,139,147,540,548,488,955,692,066,070,114,573,674,326,085,803,021,912,849,034,553,953,970,782,895,737,977,193,860,066,010,107,773,457,074,998,036,041,688,872,985,463,956,383,029,980,756,792,519,609,919,929,342,687,969,819,562,307,065,427,368,363,004,884,148,537,690,746,643,290,632,627,002,372,487,974,486,804,294,117,964,399,512,103,284,343,660,499,656,001,573,583,347,233,673,088,834,275,020,251,209,662,491,392,147,646,967,435,593,962,112,403.616435563101421568
$ 6647513813700799645635300694053409278944169940348879743055596950495010941722554906900407112458470693985979416568527615284311534040820271403872744984297911145322568336066796431020796755291227250086460065056993595751038388787560199070022062043431702921442530464429862361447035513140400754747348259330941964102029205939556036354384749709264846319336892778014355705155673603579865352436111265095505066014968624613746646680301691396244738132504994594797140669291053861570714102774615149607244852010938276278289688867466511665868490734409596133383673349229875420058148539748684007355123542838849029327838677008693983577099602360420151805128509400884382988660007215717649468338684668257561578459842580309867163326403692263188258462093844844911793732504994005970781922822734220518622451051978899978283606759386321362848304656494272516328770327686959212263887251292689907108244140082229389101387531755080592319786833322061444342637916841258663276278029440584660994179774683331420434577361397619921328495608742263983776513857981651722698017499006672418333704153644757111236499781676905066007261697283074159784148351476638942701257626553189091665251450824807882265889555997155928590396077027109267696023795523770491380316684619671119465394839485270164879723477489337347341059076698215841751603439069736177987920001166553636045917611743474912333610560757744322699181144751425079617720340314855173659542369041089728838911010554347287559369192768761228284859568260037042476249765319620794164653725081831615742901571940394386560231462812869552584282892234230808606606683712753954750305910427666706098206164036838268658031104169966448369073275987583078834155608704604146120432450644703392718282471486417052665652161826484295443235819458087876634073086246456685293789011483748933265340875424858219068180815248319452580741381649969386901392089616247554359492883633876314952522844211277296122400796023893946005827663323852914340904291664309190744718912650532899455335192688741551750174647400163125260354670289583834919616502141711458320727301666070316520638350349322095200501574118272692334291740572876112557593563849093189972861209455075147970237734622405665580270546416445736008129876615020124471187760204304364720935518152072592795366784060701800020502812941096021623274953146352715950375450272294745343598299813486471577189473248525294835720000040299503121973616020149628879756872818833627858412175111238477337843853095409028216017383124895417299357890991998156438914375156339108020014424736849505168703997548368736959610765350254291901764529470763604829253640554281275215726503694677907043349959884002551163516845460464509510771437094308846630819440529859872889394090333453045589654242188026017346553131319585231285964132601679369733358582166819116129970207639760956348936405877818739158208476936852982532818117360547523438144389163750903855606796353709736992662694624315197083915243513111702622696456853139580322020923586957999371707433451717128067145274957663699325078641822740891337005247564900802812877352035267040700468832106239791767784170447665184355725114951015977419115424328046794861720735869843756849464103552926335731681339481605495424285703377201529348035926067562981309801350845911717209831166257946911337020903160436070730691988239050063155624913603403880981572186931540161518603831257229905810781646616430274263101034935407399755017579352748699079658275976444635004802714951757232067805188849025024295134826654351912624271208097170019128829389923748951269492041833990398814370555830982836672284718256030693440252991230445949713523828264684331698586900246032591577769135581801055540311089016709775758039434329144353737942446395918949349126898999257278461896662780467716202439296308156103679516897634518948999868872676905345095434289785860656631389547448538740121728720723903286057845879200139010828986304513666199521209878292509609088513990015731925171542818709249126290931042600531225792914955933799746986561891708438675000135256469694094211930956208140360991428214943151733340309720414093604451157956373824050131302666368291126966176487629735418266482843634214218349303755773673740238052275918673304715147691522005816497961917381813201943126911046139990473164378701714703461302342125449853089898792506834337919315756032640169348273651388147456860929771453315959179338604350890142225355213171560200909398908901267737474753935784269161455967560255856714237797542357857229124134304345696815941107309161810036788190417728300899564875743583386606250674733787183950359317211578122986038681284598323218616821051046565618426687569526936841801315350937892415870934827916353348945920595195233449580031451688597833186347251129442791973001408864051593849650255507909982229046870054898800787041021582210280889530499766166139694785148098323744265943203804384957829475088599391138352860775357037655621125442301022993953727797330424471509839570135536169344559025129524978655386154757339332377226733707588996179830320098184597975487035318454620750237610005989035830816275911941044164864045501622972180702735437522894668505777360042089744565478030359360802042493986542082752599080439368318227551076335669631574509184919550483136653468423756232605255047599963715383473780406223031166299159699410380592986230587707686767934071456076674244832813003746282352170147211882694880782577557329623579030031811781917575710960826451731877194697957086692949410735595079065367532771409573258178686084443554863751612796342307523922926311055864872087286053736894756467388258819226164457701641753064931911724985824195829774686239293654501820258781377136545044774893717076276563626914743037251477075256384981832226837008796588855966026772853582361612000338456319687473010885686785004483382807245012602799695641742457714144243342474932301550361482153914185106348382131946296601768667763852421807797009051226206845220764258425666828151434793366549144435462784364954339782757378202751117639316096412993706119104529463487777279841140947542922411703816243511675564044902974978962823289080141579356860711170023006232003841194052357531722885585492158162151904143570035665437475115635624270087659280041057597616513734308209442509219316179306792749689845084092959926530753717907216048456736938946489095196608021982965638396107974359187465044424274819826160085315311232405156835036132416049674718806563017165586573236513061908241177501894339855936360841078804150733329196101108963440012975954579592470018795806357191104162507451152141244869919967241897694354767134733841579765941304319423322749388345534387654298851529038125632793608045023601416282842957228691595836478929973860075163028165616288044772432771653379233557046546129756941450971654734371860494200357862720663151219344249460887132420686598078633640888247470330106953624094982308303210736684483199571050096604599826521268780632864477550734919480387245943463096777059945015679508064892773431458595105127555326796478216130932427289399495878712843190753662859518027916638365430154253992291581255610774556876015595063664568209817300865534726204129329255409286906082145550707779294833582834733523732737819310620484983860047336494035080968473676535321366447787479679710680682682575297358422546159414880920151913040814758424571447089992989887001985241048987652813224947387427827550444295854212456628255884170731057828301162597526403536403324830370031688866174578069355360237994546054665390525876790673178217591929928573410466012963208332718352042545744156136200778391701726139276569224279109057550467415197622889980351234284642634556259433969295294190285147896635027366668017523218891991304116703016054920188646607069294047043611540224143286931790396845045245095462927970014506972619708981439449133618616952117824554656723191960466476782163325994083009320779090538732675986125250267737021260869328714806917603844379927921044761810240833857764622658927330710916362957246260109481362020311305003229355164290908860768717373094162125339789063720808592879591757605677990248852862434394807691575512878546647508085601744742691038874569897588526545654351476283797070376670763944669548217718986854006556213039109860321638210452645357982799944009474617161927794148276401167098966123208248110208013384218563512128501042442905351702178172686956620051853646319586328155413953156911134417562172219780844914460806191764922930644617865968712284197397815237983999126251885017370804942796789019995126572970410268048114094313865878196808964010305372188412164662285902028564890276146653619640902912578577823096807394038049015139845460480659420132809357013999222528333379123768063664444301907569664472826513370565687446511371445697318444028795976542351294189396825240833320481070408523541962125251162653110227337953689525014278665305696507283328095887403062028391353757051895817475086093278624647814304702388504864726026814530386399131358556662671606726805888782648811759779370865660759406002813477255776032821847148891139231078946813310245323487721373951578275977682056088266213307764981948447515628155554875575561673961093818759014727128277552184516865046191368433252493517168482208044627467216301812981851032672833199923198261982569132825645342474571524580230164284174709578008785208831510944990929872685652063138950396812426127305041703886136179910462969109681474171144783715873404842242701287317969989797823547350609441345255060978173091011582703417445356628261154045842187206976673667437055673881244189594164563668871816870423344838807583241457796373195611112262487427302611330263897508034836860567385671965605681369483448993800678397673673437503166441791521409048827313757110685072966420694075955531186924401374663908249103869488930865306712005546588842388122026657109262585938862381973299629017901066616543202838393518741900422085810182361240822886192706240137112835988894091403035102396082514331128369487788140017507773253252121467202501278360759304435844318627287727998724330.31
