3,250,342,170,053,417,313,059,760,158,242,635,944,525,227,558,231,243,684,250,557,377,878,731,879,887,412,813,359,756,298,195,466,695,909,765,956,179,084,696,536,504,026,333,930,757,480,501,524,690,998,467,656,830,292,358,408,080,762,035,141,359,499,298,937,316,632,603,685,431,199,147,697,532,163,129,054,905,177,491,805,274,618,568,336,661,092,324,389,423,135,328,436,632,764,965,962,087,591,246,891,223,448,387,144,094,893,064,095,479,455,405,800,448,591,849,717,006,682,222,716,016,333,362,254,683,230,909,876,091,236,698,681,487,980,255,945,617,304,383,255,858,754,727,708,221,492,859,638,446,579,963,035,814,307,679,273,289,055,691,545,251,131,828,658,986,553,683,984,769,878,849,764,347,401,054,796,664,854,163,363,290,441,426,791,777,838,073,660,334,875,004,454,887,013,134,768,614,199,191,610,942,622,607,417,940,960,377,326,834,558,833,688,879,428,551,019,510,688,496,954,288,148,021,020,864,080,195,079,974,159,487,397,655,518,490,459,135,320,024,875,364,150,613,299,510,530,621,480,807,284,950,196,282,855,278,690,669,826,538,304,631,504,128,688,866,905,573,960,776,750,843,324,348,290,404,378,395,319,537,012,103,399,356,146,748,828,875,762,409,315,783,044,331,751,745,228,567,309,540,233,126,804,149,509,548,460,293,922,280,339,815,382,806,139,017,803,590,260,213,957,685,264,426,396,332,427,115,141,950,098,125,197,724,047,781,506,168,800,351,266,156,094,866,990,377,787,582,204,715,964,625,401,945,326,929,121,463,246,046,305,423,135,250,748,624,313,049,479,468,145,060,741,260,332,457,611,079,755,598,023,862,002,316,677,079,021,224,914,497,181,591,102,295,441,976,129,547,079,355,927,271,757,162,003,456,836,539,831,364,656,836,950,628,906,922,693,853,487,742,871,239,547,692,831,359,738,813,553,065,368,158,139,547,243,207,924,763,240,111,624,080,143,244,355,695,468,784,319,809,651,876,458,648,865,256,943,532,261,938,594,620,105,088,784,100,098,415,456,624,457,700,809,528,200,468,769,098,045,596,240,322,411,997,949,296,425,999,934,756,705,359,790,314,092,241,903,927,749,899,959,623,138,529,658,875,687,047,913,227,077,453,005,609,529,084,635,932,856,440,842,216,412,116,316,412,753,145,023,907,887,378,343,726,825,519,362,086,587,810,588,299,030,144,734,563,899,815,055,386,316,414,518,568,127,902,999,364,404,816,656,751,269,945,758,943,339,039,816,651,568,186,216,703,219,029,807,627,994,468,651,024,558,013,143,723,369,983,021,175,926,913,404,452,552,203,029,744,052,113,641,018,575,728,089,615,481,831,796,512,645,493,307,073,255,217,829,286,252,777,101,896,864,184,335,970,439,625,441,907,147,371,559,614,120,449,662,399,497,531,227,793,123,331,912,252,040,235,916,653,718,674,583,801,890,335,080,597,658,190,110,458,320,439,957,348,625,535,549,747,481,835,904,740,194,730,533,518,695,066,908,187,964,747,212,071,750,282,420,573,426,823,096,261,141,541,319,569,187,632,306,121,938,583,776,994,056,982,786,041,115,177,072,540,324,812,925,119,947,279,364,160,627,821,507,118,997,211,028,870,288,634,373,771,419,956,328,067,212,939,596,419,730,303,588,101,382,123,696,236,844,818,210,836,819,722,034,258,095,175,562,363,459,349,490,920,353,571,548,661,183,686,554,438,091,243,944,594,993,918,419,394,278,366,424,289,905,255,587,551,684,723,670,630,084,258,407,980,365,197,269,508,747,780,333,577,120,206,657,947,510,010,244,116,929,424,654,740,622,574,816,853,630,067,999,020,456,845,978,184,051,856,893,658,412,243,066,684,020,275,626,054,160,129,171,634,379,948,124,083,695,558,007,523,357,470,558,987,856,742,569,194,791,933,176,014,530,113,360,604,567,863,564,350,731,308,503,781,229,807,508,889,136,044,991,667,104,779,809,701,746,647,046,211,974,996,675,295,180,508,533,890,701,345,757,089,473,022,757,766,964,750,193,592,440,390,170,991,380,705,683,698,228,504,109,278,569,545,121,857,931,540,926,382,691,696,533,379,768,182,244,104,027,269,899,498,612,007,528,713,134,860,045,269,659,316,009,554,181,265,525,056,354,395,355,441,417,788,628,675,449,645,656,850,564,607,348,602,391,347,346,571,980,112,199,591,569,228,208,610,281,118,311,984,747,691,722,838,813,412,585,475,622,291,534,488,877,228,899,589,564,087,794,728,453,330,497,909,763,153,117,165,027,940,095,691,034,958,070,432,555,564,534,523,782,879,989,311,480,185,823,859,258,862,196,942,409,420,262,684,626,780,287,123,348,504,632,572,991,583,764,182,225,000,221,980,254,283,126,456,760,411,259,530,002,809,845,995,637,839,761,919,666,943,416,066,651,209,197,772,546,375,941,049,985,465,506,312,370,782,596,261,762,252,567,408,981,843,003,216,966,398,042,828,171,708,632,528,398,037,863,077,466,309,787,615,456,160,445,687,329,930,154,110,495,054,483,742,451,042,541,824,977,073,595,490,345,631,385,973,201,329,185,140,322,167,452,491,592,133,496,159,688,714,744,991,884,534,928,182,307,977,736,391,443,796,822,124,453,073,487,867,027,224,770,365,314,471,911,224,176,438,193,319,843,411,604,694,263,572,495,803,274,258,187,682,827,072,288,206,024,386,585,550,645,200,132,909,399,145,610,262,511,514,590,461,645,304,889,064,154,799,480,904,985,493,210,053,844,869,605,105,601,358,034,921,906,689,752,787,698,419,269,545,117,148,285,368,544,235,427,802,666,683,310,762,980,289,680,296,424,967,126,722,959,416,996,677,161,173,305,911,538,667,381,579,821,279,512,765,511,315,484,531,927,864,661,838,040,883,521,108,131,835,811,697,329,421,373,592,128,938,070,478,527,282,043,511,864,606,828,950,510,396,818,361,944,398,961,995,295,113,815,337,186,236,820,437,464,998,889,565,369,876,598,092,820,730,068,425,325,226,867,513,588,619,800,802,820,882,405,794,089,622,275,442,701,928,695,995,263,592,126,716,904,004,897,958,242,670,633,741,072,254,806,386,919,216,042,330,173,437,210,869,620,056,020,499,320,823,278,756,229,796,892,645,631,919,389,689,901,630,661,014,064,276,250,438,587,117,097,388,415,937,194,403,695,024,465,583,393,685,301,397,505,406,769,809,987,052,459,808,978,229,857,078,166,310,773,387,495,465,903,837,767,753,643,002,104,109,652,433,132,971,843,487,279,104,020,698,272,536,968,167,824,730,560,378,992,854,481,064,698,216,709,045,676,453,285,899,234,341,707,998,845,927,570,934,454,863,262,547,915,302,069,373,113,196,003,198,473,937,642,321,648,451,402,846,456,543,199,301,012,050,316,782,869,338,907,729,595,109,685,951,254,288,544,158,237,397,541,551,013,316,581,527,475,804,479,391,416,224,124,738,158,043,356,908,546,790,772,101,761,916,240,736,318,673,233,108,401,314,580,830,298,450,246,720,726,607,967,939,284,433,601,884,226,933,514,285,090,383,943,616,078,602,683,202,999,858,598,889,744,412,824,692,266,779,428,128,636,083,019,921,481,777,783,934,133,133,212,755,340,011,782,053,444,216,409,573,434,327,946,178,615,774,231,531,488,717,071,205,797,977,189,931,249,588,524,067,113,521,622,166,768,402,009,727,096,576,998,041,067,720,112,789,426,803,584,788,164,172,684,226,591,527,697,888,923,545,200,846,484,741,561,278,251,249,319,036,526,158,141,753,910,927,311,713,157,155,202,800,376,967,554,704,080,485,821,246,115,077,164,300,563,245,327,652,752,753,629,654,569,206,240,578,624,306,501,488,230,977,543,574,322,511,716,774,842,253,319,210,838,368,860,429,149,334,578,791,703,650,620,944,456,023,927,213,009,152,309,658,712,695,479,912,886,422,435,939,884,382,135,614,053,048,305,361,558,863,581,770,418,467,850,128,933,510,694,219,619,468,230,356,827,352,563,220,707,380,201,502,730,422,886,659,466,933,712,959,859,069,439,100,731,692,357,064,901,557,510,550,335,144,001,237,041,031,739,590,493,268,603,025,581,020,567,554,699,933,877,614,902,144,522,526,025,164,436,854,236,150,585,646,485,948,094,192,141,293,043,028,346,964,467,533,324,888,061,827,322,682,144,432,841,445,394,085,696,667,968,223,017,760,266,940,520,744,554,513,096,278,864,401,754,842,175,985,156,561,824,063,545,618,139,586,808,662,864,415,571,402,897,294,532,698,768,404,212,875,405,721,572,318,947,997,312,257,474,699,121,499,289,667,329,245,669,140,079,922,676,936,859,963,124,767,866,817,007,783,791,542,595,956,440,753,974,686,740,453,638,946,603,797,431,522,226,881,218,044,806,211,190,100,106,928,421,434,286,350,849,951,547,117,246,681,179,488,486,573,375,897,436,872,092,244,854,232,461,704,609,823,222,739,696,879,316,481,600,663,598,175,400,155,624,525,749,794,574,301,276,483,768,201,885,017,134,853,699,362,690,144,160,190,425,313,802,574,034,689,102,916,616,224,351,804,006,673,146,732,519,813,301,543,595,502,820,421,541,487,024,362,682,872,240,738,493,592,243,772,599,958,135,261,121,554,816,186,928,651,625,083,549,028,996,862,725,809,762,988,228,255,270,215,520,585,072,101,352,088,931,089,003,621,231,059,538,013,016,505,394,756,530,077,403,600,630,399,311,673,754,763,583,266,364,879,156,893,969,783,403,097,802,746,504,161,186,109,407,402,475,774,910,026,411,140,742,820,595,321,464,760,148,346,140,127,848,898,525,954,816,973,311,152,297,710,027,850,982,882,611,459,263,096,786,424,852,311,359,411,393,933,132,314,788,011,778,704,049,643,215,649,836,363,272,666,583,282,764,376,996,952,752,769,135,079,509,060,872,626,477,144,268,490,267,471,049,848,362,107,010,145,503,465,452,774,236,623,626,109,863,263,744,409,222,891,545,853,712,881,163,368,145,087,881,722,166,622,460,101,916,619,868,917,640,956,248,480,107,382,120,712,839,200,219,150,493,489,528,614,830,829,755,050,288,304,761,897,494,637,814,754,831,033,891,793,022,008,413,264,426,626,590,836,479,012,567,676,712,985,827,247,768,149,675,396,165,110,563,383,081,845,313,649,515,644,395,103,605,486,642,523,967,528,073,782,706,867,262,840,514,768,108,479,569,946,995,867,719,045,393,905,258,784,811,369,134,054,579,314,853,125,517,303,674,343,249,884,968,486,903,487,559,228,863,308,451,245,212,928,508,518,596,477,025,096,719,846,502,683,942,663,088,875,301,181,951,642,244,335,784,904,486,310,419,460,636,319,596,246,303,561,731,925,609,540,728,856,088,176,726,542,882,643,290,177,773,352,623,594,116,438,497,822,076,241,989,279,723,095,621,784,025,941,872,374,698,626,968,817,370,276,014,566,984,531,648,312,534,612,187,749,507,914,091,687,234,648,990,989,516,854,062,630,817,684,873,243,123,063,027,105,879,319,450,972,610,582,186,326,428,272,668,575,749,645,186,402,127,879,311,408,038,508,157,129,973,146,450,618,037,336,906,581,950,720,767,944,042,289,332,732,563,447,669,701,301,139,918,253,197,940,789,228,712,255,109,073,554,151,697,801,119,482,127,303,460,757,519,466,970,289,056,443,376,457,778,708,624,262,647,566,780,355,357,463,412,728,730,225,546,321,952,024,273,571,498,763,195,458,764,157,591,837,465,787,840,400,362,999,006,402,321,801,085,998,864,748,099,757,622,328,329,382,756,544,605,251,787,205,070,291,420,035,423,642,283,309,652,278,366,985,092,502,300,712,889,481,655,976,974,047,335,441,879,472,642,139,425,422,954,771,773,660,808,527,233,343,936,774,235,285,082,810,453,521,546,158,444,144,397,855,270,635,111,312,561,647,638,606,389,112,826,387,462,880,637,914,158,265,851,018,191,787,787,567,524,871,270,791,738,326,617,899,652,238,964,419,862,780,428,934,386,671,773,459,711,813,683,553,846,342,545,753,386,448,315,344,818,263,783,025,846,060,978,464,434,303,406,860,695,564,386,387,167,358,380,944,839,533,783,173,839,068,978,298,021,683,592,393,190,161,568,848,792,368,590,257,813,738,146,070,902,541,604,962,204,150,570,647,314,139,855,535,401,150,091,080,946,172,864,973,758,327,781,533,619,635,854,862,076,483,829,405,039,005,943,644,777,610,875,937,077,670,398,970,541,832,831,613,671,077,586,795,230,845,507,627,074,701,418,564,450,492,473,475,104,141,778,762,272,487,726,831,346,808,562,382,381,744,673,231,541,986,613,610,572,544,871,285,779,414,824,452,360,478,330,410,599,257,047,137,789,381,188,203,942,655,162,634,115,713,828,661,674,645,230,872,728,977,756,313,389,620,638,816,042,157,238,970,771,035,528,234,254,181,588,147,119,120,787,848,648,344,684,481,771,365,713,530,064,437,463,484,536,227,679,050,597,106,336,800,831,645,988,513,836,736,852,877,193,355,927,914,137,721,490,085,632,401,370,295,502,830,470,547,247,946,406,996,832,759,193,375,441,047,185,199,536,616,656,131,771,848,286,572,324,635,029,226,817,030,490,336,773,177,454,193,427,911,702,043,163,987,052,267,601,769,999,085,035,577,264,313,050,330,542,649,116,198,697,422,054,941,888,344,484,824,703,762,998,658,815,994,181,946,081,541,577,609,027,835,891,393,158,671,202,518,224,488,565,982,772,805,300,105,665,390,482,901,050,130,315,262,600,846,224,306,161,639,062,317,137,734,560,849,678,099,963,304,939,916,896,230,622,283,010,492,231,322,270,761,287,587,419,903,666,122,613,457,259,294,342,277,402,447,825,387,642,198,912,149,085,477,736,229,423,956,846,459,664,407,021,787,224,436,806,587,049,889,244,996,428,489,239,652,606,675,890,067,030,630,801,918,434,982,705,323,439,994,708,978,141,208,488,682,017,889,242,854,856,291,285,091,498,184,448,403,072,522,340,319,795,269,929,978,003,919,283,451,189,736,813,013,442,090,579,885,095,464,822,933,950,725,187,904,518,467,653,650,682,366,265,040,682,963,391,792,357,717,465,815,580,075,927,830,309,633,834,554,384,395,929,691,330,487,894,210,531,109,521,444,541,757,286,954,948,419,996,249,256,715,912,297,765,199,107,509,684,466,891,782,976,728,950,294,645,992,232,597,011,078,493,351,472,158,431,172,330,565,515,052,751,313,338,404,526,439,505,895,411,472,328,008,609,194,035.9064104829190144
$ 26507472986008581013147345683683169269397384717525326684375670886603338017073981196629883487179935451649726413203258292453988016836799646257234187470543800244112047994308726996055880729475180371427209331716610427283822538218362884521705736138905400640406030376711999901259753622328511010516099624946365528246961926974781033957106245231242597147092970988566882626009468194190092624254425476065060780325971612307528384986684310742607232122306532781108115093125741503031273608617687738270124784715324375423491488744973004987987470274442251283159752346005111386967355195979273997267710311331210373582340107857163076599770991048527810112721213685426897706774599995530277120530942504086797757115739321370680048117128835535369429524938867605513102980219073882785795395027153299204760421762925088949577744345885310041114739068511211252482740726775246871771099197712744132819374756477066115608179710744244092078705520662719434738841291041414575736943075013157808712707396912526865992248002296401620392480925136432704615134009007887330824803397918413920643572986332064686012943016718422464625270318028931849499701026385253080754454091392288614840804008954857813404462901957445456001672730363172004808271186698882198688819149364008975919059177448788482617017216350892527806064098430718429275260111411693503475197181706782989894666994606719688764519128246968509373289755938036402558298504949796288066666035983377004525963201322303102449472679642978336411685995764325797863415238709260014155378193395811739560305166035567784531007877345996353120847637061211005966954961027064044514830903601779927251634754616264831070044142568265278690030006127708296365478315960660619992887903708847577180403251472740175137746227715577716888272891709347332929295261850134667164786840239952765360602197415973030484131696248526551436606344065019748473137788430331989365110794574513642798819846484914509895309780629416869896893113286727998695207195236424300257614294125768196318552080579927291232030570710923085888501673641603557986439356123930596059211551589471173897008826629896314164560922255596678654670746745586193535548145658351628797972731107208603288874317256016986759987510404344407647321714211079849306934586166281182932741122342030318562127694039772312210851753919089055793765209085081224184893277000898221275649387168819761187627888902859011455882530584141500690143794452003870072954128896920533889187429660373796191766741198477883967673449931337447260145189875604936066920043073793847112232686142875340228407889770075415764657436382252966330769715665012287541365331025508050047855994914473082901954335902848724241092050024225789414023102450572016005792116346597482953795073353242725807475687286190629205393280228105876579021265151514632031501291530098476151596778423924469698794773338848698044914244919556924148803594031094123453801208085843368090188239650487459424769737551971803009360881796188037070298666249278933854445867507539956303842661115071431691460714075912392088957975602903445399118338542027715126396244332139256330338640074579498456807906889602221307104707762991763169395966552834309986883503200249680642785498347573098706154992411637771773747750847913234548033094857723032337919700367746914994380801741839827210530099151570798391940167295322673802085651288277689980852618685242244721428126245586066971076319952840969136810394028348673585995682667323242997452258984078942933807320829385137893321663949878221714310454296128856671479237082659990503395952729375786631499242745353146046499906869030382926452431179163527606582289330696907564898758995674887321408908231451771898862585338959044361197302414260567147554483335728712349488308660925328863230806652428631065365043425441076306948346408162839737708820130380169543238600798211178449631042400872067885681979162680109973959119217895899819173720484990825883563060986158314228860645098474854780704986708096395678588675474126843441500953358482792970781422899685541886755367177874145280354106773388239675816951862161901273529034725597158812435085038757631144900461713237040092917255599706440090574982228009978767737618347832015459644492130255141371395114849891627715352283068041304795823751152702507071357997086611963375613824449931615936768146889332379608357179889247204138878352564722201376852268841073617522705666122302907777555453769985238989515833113454988194949290487420772531980807844118337893941509455125214215856120228759731809414387265234056655475813345263856296128295980966687304151188329266586287000759579601493951022464871772774835832421369647614036904941821203130177724982135109446585324062028334588608820620039832349234971445050122243164792252559653717216233992622539457461373366547536783614973986724191632756519452360820647468215104951789349735855956688015114535550675266331875161611960268060731764606039951261869164826004641613075538706982341485741487149642594856553352257065830605741046616819559481690597917684792355455048785875643445929218288872065663089796638794905606186489510601619775115099576287721945441192689501659289709336599812362367450656461740751017233397477363487299636362407654814351122514714571760951882051042374230385431192937422469196151356003649199128886678942560820348525688865823922649939283360750361788803752099353902611732428383451357300653285883861694373803813495009391700680555834666448186754453092883608976264501531642816123327503890449712445206453212250654606524306554466859081788099073098899423986259703253534862948948934582370206924645564776702088048289007389638144343889669224086263196067790426315793299627134931839548594299939945863091596161852155940200377225267719270034678605662610316422237517667919845280145380122592935478916820275806114438845883566287210798895676367595320578794975111682717286220766682298225937312440254413609618210441049247970558331873909223279172418011059074680558883951218777164297763043016160247985271605626224484410341799776547688922821236230306376594610685828382303701729355304169394125136231064972481064399997343123875710408067275109901013510446534149639484749081302295825739259923169279434929210273957121947953284567806588707539700077690104695803349627878809918365778142369145225323416974501705800941626344072876237361484890240809172473733158369826038077185427308829564989533207506014070726769006966131870030063061251202259283194889439107878290751728201997421735402591046391634177465285820936189111034945090394359637719065736204532073671695655735013420594780885217816980758685886081428308413957700641780549022385096099427115147217993067975013295041154434210058499789324730538365397585299943178720122951442665867019566121519617245154018952946072380398413593177666976844284677821651251373644621449813146297090257787861509427279886227521133253418513849600430893326911412236990222658053069873836056219734076877249038767047283826757309390416174178861256515411039834779465778730514831006294805521390738556133834452774406191261161149486899449547691787543886591779779494863665525635465296791931425249488598255103822607243544913835765022352780832908602789479381538821948434022053547263837988983751265289613573528588629276574833711090892819172425740047090350158204856159454595538180300432267787993637485319139945405212329636308052127899140543125491097281730930599298142891242067542623425392302364999871475466652102388034809699497855862262232377112511316000002989370550502750176258966761583147094911498210588887662465442050368007539767313350508607459517503172159071600392479536386404910366838343938990180116736611055500441196723456424365345907840836359080558543846185514465795840364479581213256311785235063739358419631555760842501350418161141687428989687941869418155978249918306134803948090459361519388935413148012933068641110599681906693619929633539176426493635647225010674297921320756981528995877518983202706582752731676715161010877059436305905447250790477738465448563570089852644904677068400244833378224057616585909115476161349634946624353542541618653167537142222598251144217919825428598098890815868320768991076916552648193333661591036911857513244902962831869338877741585621041341091275928961074455626766605155628726474335735772241083886852645400266487735928389088262226307753432597751881539279311309040402278494415303784562981947902083262685633836768996716163230471360244627113552717055255298155470572427318959405848906929882612873613593766639205347804929943083829142922454603446483831323700454424730323107612053566822624750611378060019411775238026598294686220183354472090304546593362806781172680465910597173182560496950201943975755096398982430907376198383975384095076271208658305032004363545745915628962271000809476063951450393280592990617049194364301048685617893928769057445548905817478448963489385224741831562423976196032948300994661515145507559644397352678188607134515420411189456401496023348410085740693784480964058922421802916172274500759345067894397584437534889645596288687497588430379406468140378287164031651158687703865835799688957845462416395963836522686151693563120653425589580310223820059022893275261802469925717837539578320858966311029841116947680570766596803179137381206598767052885409043761785262219757311312181739447292634950996580127611264592611984266083442101472937807080173557698774664104463414308663543708318540595215784778796302410128048113243528988548158249213203697465845445705476433053572039292050210651881749610886678580989006498302167796103858738950215024118942739398356264389445969286751326056161345106865675567353190499035844638240742803876949543310316512384991909304644760388287859774224479144496411376385735195170385777811272740218145529244310359357588340524952179578253784695510794173361536381119475958523045737062054993704769393080928810788851719530903592220516458659450604733709779263905097442459449335588740151203417444812160564258062598299361094859817773922782145917120488937498592969481265165262627697957707426718200613537257608.11
