12,020,216,983,479,762,785,987,117,238,175,334,480,922,404,674,383,822,522,220,092,615,691,164,962,146,887,012,736,418,519,149,125,755,478,540,285,090,500,182,082,298,215,864,981,876,807,418,595,124,344,986,229,938,872,396,660,277,065,168,890,254,439,939,330,416,684,888,101,197,280,899,218,172,727,276,231,507,867,513,166,366,433,086,322,609,258,181,770,528,896,618,893,824,734,450,586,477,447,441,600,525,742,141,611,143,236,555,350,991,678,441,522,249,446,131,224,303,038,987,554,213,484,401,614,784,734,624,148,568,768,718,225,707,245,072,240,950,300,133,166,342,243,551,715,503,345,643,556,070,666,486,385,003,507,000,628,964,886,440,678,810,075,265,566,320,774,828,135,144,920,729,487,927,401,112,586,165,667,136,028,625,510,638,752,167,440,628,863,206,545,409,358,273,097,667,242,194,907,417,258,609,928,839,617,290,455,287,811,169,824,528,809,975,496,551,427,160,436,789,371,455,237,574,333,509,367,543,431,178,047,617,704,102,376,928,811,496,234,155,981,544,778,528,631,946,793,128,631,142,738,786,908,491,359,521,770,364,639,254,110,518,461,197,093,456,748,446,538,791,053,719,598,156,991,575,720,424,017,657,848,225,457,380,181,400,062,727,329,952,052,067,535,459,468,764,030,618,054,704,517,606,500,523,787,659,085,226,525,206,649,976,633,151,541,014,589,776,517,039,512,474,913,519,229,594,726,823,341,295,500,604,297,328,997,124,644,962,797,978,870,007,310,472,438,032,099,742,028,090,630,853,560,302,086,217,695,028,096,578,471,116,217,792,277,850,504,971,960,160,767,995,484,014,106,027,394,325,901,535,532,480,779,147,032,043,511,246,895,504,303,337,940,583,611,499,385,732,239,258,891,405,172,234,864,046,636,015,511,479,080,704,566,815,211,801,702,646,720,396,408,088,603,305,612,276,486,273,724,394,931,803,456,643,877,322,722,981,311,376,905,583,575,459,463,579,856,816,711,289,873,705,018,720,304,592,518,424,196,854,609,931,474,266,539,222,097,913,505,561,547,312,120,671,765,428,046,257,847,415,328,760,396,670,961,545,620,279,741,864,110,821,470,803,814,263,978,334,068,238,260,255,487,934,026,572,453,995,777,197,476,094,661,365,392,242,302,648,974,235,816,582,358,273,938,922,205,263,220,384,673,791,355,799,447,617,355,816,037,595,978,077,836,973,152,547,603,618,566,867,502,966,948,156,041,677,172,530,382,463,262,073,601,437,827,332,335,287,294,362,107,264,938,063,804,204,896,948,892,820,933,726,459,451,714,436,067,285,163,151,425,993,460,800,351,961,235,381,338,235,289,801,168,502,717,068,955,624,825,295,605,889,750,557,834,826,928,743,845,696,732,906,207,552,110,985,200,273,191,159,727,827,023,425,971,868,030,859,036,541,406,294,407,707,693,199,980,414,648,126,303,671,884,586,941,894,112,240,649,849,254,328,186,183,905,839,695,947,265,475,592,360,910,274,986,886,556,851,072,232,796,342,400,036,824,817,582,563,027,962,814,742,530,979,094,266,212,677,338,785,084,877,143,692,653,109,488,419,363,198,737,617,632,105,478,729,475,391,269,927,808,975,043,411,647,533,740,881,363,489,559,024,373,656,033,324,552,762,006,766,055,208,090,228,010,982,258,096,074,562,252,359,472,509,908,421,968,480,047,356,081,146,055,627,255,213,056,906,744,796,660,716,092,030,387,145,464,744,804,209,936,014,173,101,550,644,654,645,697,257,970,525,332,107,751,659,890,170,684,407,784,927,627,798,645,376,911,907,059,361,575,969,695,764,674,112,879,772,935,838,267,275,703,466,311,814,987,685,515,585,579,679,068,594,178,299,299,829,802,078,483,395,795,379,499,441,800,932,249,358,159,686,959,099,445,777,634,217,621,550,333,015,691,543,825,307,997,847,542,410,092,875,928,235,836,670,874,480,316,666,388,203,170,772,950,660,048,413,370,193,339,124,324,981,043,201,820,259,897,115,905,999,970,020,071,353,306,868,613,288,016,046,908,346,736,599,390,513,010,872,199,251,268,392,130,805,061,399,331,161,786,288,730,335,053,229,408,390,895,147,024,891,484,692,449,295,641,338,243,746,756,956,921,286,259,618,796,314,140,988,076,639,707,326,918,524,676,099,951,931,810,053,146,084,537,604,171,098,646,482,513,546,104,735,858,806,574,592,006,117,127,272,531,457,909,591,596,561,557,660,987,010,644,215,013,144,175,027,756,292,725,702,560,179,182,120,918,050,291,328,865,831,197,840,382,001,649,138,085,127,482,064,635,878,270,944,819,767,522,281,208,494,078,887,060,147,186,500,889,552,692,325,672,917,882,802,035,617,836,090,186,974,954,593,480,553,568,269,943,442,283,591,641,647,653,576,014,471,437,598,268,858,953,781,718,037,971,979,586,228,346,921,531,649,397,386,071,056,186,861,730,668,697,216,160,584,523,307,968,362,677,032,989,488,519,652,053,285,493,213,734,676,437,542,498,783,422,859,806,238,128,246,090,058,399,869,634,288,021,564,627,986,122,424,228,554,005,285,142,416,499,079,771,588,715,361,259,204,631,367,882,652,863,929,353,908,051,797,493,445,783,887,568,489,824,425,956,465,350,258,489,754,272,904,167,140,067,814,956,006,934,092,229,229,857,547,274,378,881,333,799,223,197,570,350,768,276,288,739,096,071,369,329,218,226,089,658,266,378,085,912,317,152,492,295,557,731,275,817,993,735,039,980,519,192,686,144,308,216,936,014,663,762,550,454,362,908,998,778,704,259,190,967,861,097,388,134,392,441,661,874,439,930,115,128,257,561,475,437,206,755,806,227,009,799,025,987,510,808,164,691,557,401,652,407,735,910,253,629,537,565,583,136,495,257,218,228,287,936,991,957,073,798,305,213,129,047,320,833,956,169,599,492,655,872,977,841,058,235,298,329,386,006,660,566,060,264,176,012,420,667,735,264,120,428,135,405,513,280,842,389,127,339,167,031,388,097,463,066,038,636,953,955,756,380,779,365,351,833,641,413,685,261,840,913,766,613,528,515,803,131,280,697,428,678,323,387,772,910,897,159,869,188,288,228,241,586,416,663,791,384,065,031,822,743,732,783,565,852,342,643,638,045,436,119,707,064,066,453,638,799,494,123,732,187,499,166,751,084,455,381,684,669,471,943,455,822,646,271,608,661,184,484,397,575,943,770,283,894,140,825,339,931,033,007,760,522,584,915,484,311,571,212,674,083,198,838,996,718,456,154,563,025,384,910,974,680,696,400,858,549,148,261,292,865,590,670,433,097,413,282,232,631,342,460,893,228,066,132,539,480,489,003,861,980,318,730,610,098,741,881,089,113,213,802,019,466,957,830,812,674,855,550,789,005,585,225,783,050,181,049,618,907,832,968,044,756,155,639,669,273,740,269,300,525,868,635,837,596,193,847,841,128,201,682,217,913,106,378,703,836,566,439,193,450,413,270,399,766,830,719,274,717,338,118,453,925,786,533,887,248,226,419,969,309,539,043,281,818,066,608,479,422,974,118,496,971,477,358,712,867,826,209,868,364,258,301,519,177,151,958,038,850,076,222,264,351,288,726,274,207,487,507,674,353,549,615,003,294,205,903,791,148,088,683,656,538,636,298,538,269,086,130,881,804,890,564,834,404,306,554,297,836,126,637,554,246,705,482,165,385,955,218,262,732,137,344,428,717,537,206,546,002,320,027,323,080,786,511,605,969,938,972,565,709,102,892,064,285,679,656,737,111,533,071,146,405,118,791,119,154,595,058,466,677,189,013,660,062,321,645,121,632,070,003,424,283,615,145,199,826,397,948,509,876,059,462,602,302,979,052,650,446,170,848,127,421,890,149,416,575,728,486,402,243,731,151,924,812,300,565,008,747,909,917,966,569,154,947,819,578,293,925,704,742,345,739,754,771,302,541,740,991,874,959,034,755,481,911,366,820,637,458,182,748,017,221,363,139,416,443,293,722,932,345,499,831,327,187,560,757,311,236,155,308,735,527,612,156,208,034,135,366,071,831,182,377,116,035,576,047,035,196,012,790,014,285,003,801,435,821,036,093,306,974,583,934,963,268,104,113,925,908,858,491,406,757,512,094,873,070,622,721,957,061,274,631,886,806,772,659,629,821,154,231,080,129,972,997,080,933,385,529,234,984,296,894,698,029,379,721,710,854,538,697,441,659,388,389,002,347,177,210,932,743,046,278,786,597,296,413,724,991,496,691,223,872,367,261,039,632,387,093,887,491,227,424,214,947,611,267,051,104,526,390,248,837,796,527,746,442,109,548,064,096,248,718,581,429,086,554,989,587,239,114,588,645,656,929,279,776,750,147,838,667,667,235,845,246,869,904,078,205,335,889,499,025,017,961,094,670,895,004,861,246,108,961,051,149,602,849,945,613,190,683,162,049,557,265,425,069,224,730,291,361,338,073,470,652,249,297,535,065,151,617,251,354,085,496,643,427,859,409,271,270,064,633,460,628,894,454,385,746,418,691,279,983,319,008,282,432,949,487,102,970,023,600,177,297,794,333,279,707,476,272,308,925,133,983,620,537,965,802,172,398,011,428,306,509,870,580,089,714,478,854,801,270,433,202,228,493,320,255,207,071,546,453,464,674,090,964,476,321,261,831,998,541,519,523,760,696,797,610,945,985,202,920,640,365,348,594,974,106,352,669,487,813,825,231,438,469,925,570,816,133,339,056,481,839,104,920,040,149,589,462,856,509,595,372,392,704,284,449,875,581,147,835,221,210,979,960,597,663,892,731,687,570,093,584,935,972,312,224,425,862,147,040,718,659,908,489,613,017,390,593,886,570,825,975,293,911,844,787,288,749,785,863,308,987,523,369,371,373,208,177,462,277,511,204,837,699,422,248,752,105,046,357,073,164,312,196,173,231,572,538,725,668,933,118,048,196,859,337,505,771,663,644,206,181,012,307,243,322,511,960,420,022,770,158,873,063,200,575,718,400,931,985,116,755,780,785,785,417,507,215,238,929,200,291,974,027,008,776,657,249,160,631,337,213,140,546,133,843,424,931,446,036,375,814,335,826,684,835,708,358,318,531,825,084,164,137,209,965,156,376,774,092,007,178,282,721,306,433,508,084,873,337,050,520,612,163,022,544,834,406,061,736,928,104,077,266,814,609,925,413,280,157,561,453,434,309,991,125,786,751,902,357,211,414,050,173,046,809,788,798,716,142,007,608,983,894,842,117,656,236,023,822,947,632,412,698,984,608,454,830,446,437,025,143,247,804,353,040,221,507,053,620,495,523,284,420,406,945,456,546,850,452,734,038,477,195,691,985,844,029,937,376,394,548,988,815,226,427,801,570,568,329,350,448,573,815,977,319,789,233,525,683,408,769,901,286,377,768,105,098,106,144,855,186,913,916,814,481,121,158,075,919,281,040,250,478,472,936,963,013,953,508,530,610,773,022,060,473,114,777,230,363,059,408,751,727,292,146,393,875,151,823,183,325,373,881,392,482,484,379,645,231,195,071,321,343,788,136,049,937,579,504,060,002,869,271,751,976,771,442,590,525,337,776,712,237,685,874,928,685,720,625,404,245,480,341,749,849,301,367,305,344,635,104,411,478,831,461,659,214,643,437,067,395,052,596,042,517,938,981,612,976,744,852,094,980,381,569,016,032,621,730,637,963,110,322,022,634,835,301,793,952,637,777,089,789,098,370,476,615,861,993,381,169,615,412,351,978,494,979,527,708,889,531,333,582,043,662,484,471,247,851,640,481,738,436,998,387,158,483,046,621,385,573,914,179,216,811,103,056,291,097,351,184,535,378,426,158,364,096,618,606,564,554,670,335,529,288,003,875,977,266,872,361,348,578,768,057,173,328,279,489,778,214,892,555,045,143,909,454,762,925,244,738,004,686,219,709,847,699,287,516,874,121,459,615,555,826,880,610,682,237,653,959,118,007,588,160,760,521,513,556,938,299,955,819,211,753,498,012,414,393,409,238,174,606,373,069,226,976,261,577,417,116,212,625,105,879,559,438,481,400,507,558,767,264,206,212,010,748,824,879,794,817,768,454,455,985,255,685,355,285,109,836,200,534,546,173,463,912,141,846,759,592,032,151,058,752,819,486,214,396,155,994,506,755,785,466,534,471,219,675,893,702,129,692,060,888,220,756,377,922,620,225,537,136,249,647,119,770,700,773,598,530,370,966,171,401,963,657,325,473,638,141,416,021,152,593,802,512,944,083,408,845,975,863,804,459,921,619,093,878,224,810,480,116,353,197,198,668,256,436,383,111,033,360,247,682,151,834,695,642,169,351,578,495,305,345,860,289,813,940,552,140,544,875,275,234,201,681,903,724,611,324,834,524,328,409,273,003,410,071,321,086,466,591,252,778,985,307,305,058,557,902,019,548,421,102,560,307,302,871,129,435,318,882,442,277,088,259,602,494,009,744,294,109,940,796,364,771,221,706,888,307,697,437,817,790,334,542,472,158,578,886,766,213,549,814,068,239,823,004,860,681,609,909,158,351,793,858,004,499,414,951,876,636,803,646,028,483,962,500,819,040,914,017,479,290,912,587,564,870,222,998,933,307,682,221,351,653,666,266,200,690,775,621,209,338,595,409,875,024,699,465,487,508,576,574,476,199,129,123,735,465,757,421,836,407,127,633,191,703,172,006,390,600,440,537,889,283,129,146,798,132,130,179,852,964,617,911,060,106,898,686,659,925,646,844,938,821,742,919,584,208,554,990,288,802,255,715,260,020,710,132,837,050,735,216,934,252,599,107,379,879,862,970,382,091,069,735,605,311,070,565,047,379,509,742,727,983,829,209,082,840,926,451,685,732,263,726,882,732,809,977,538,438,302,151,956,870,234,159,083,596,389,635,485,696,316,586,500,071,681,185,418,216,430,574,682,951,291,118,601,401,555,811,534,705,155,300,448,429,347,244,731,750,642,898,150,507,124,117,179,431,970,929,407,016,910,047,829,356,953,613,959,609,584,931,478,892,941,925,837,444,300,907,082,827,502,182,651,819,626,050,703,761,183,422,962,746,599,386,110,530,518,434,323,922,999,720,137,658,838,611,223,667,557,269,425,584,742,280,388,984,156,044,498,306,842,105,700,833,799,563,859,925,971,200,685,500,267,444,214,684,769,628,625,166,808,518,496,459,126,699,460,357,750,075,638,736,622,128,019,428,177,826,757,928,246,367,973,432,724,063,683,207,855,004,915,054,697,456,291,032,377,648,926,352,831,316,174,232,430,975,561,395,179,751,780,235,209,939,654,094,139,197,990,385,050,925,033,204,323,734,435,625,972,320,293,289,262,834.210785065808429056
$ 120919731183929535593257442551593333986395908352275534411300282470745513862130939701470962246347514901423314283543941503604664368573988998006606823234889498331327173780099808684574912157827914842431590150980126462616984313397388645761799405591116170692032881409728749104890244389117074311472923452533888066291674189531798973688543995738441526598885376741348819290542965223279669018456342923285931459413861603805584301804454869744861655290593244859514313353425728617869880860225975574933486548159456150407430510032670869570048954147575495091472389773300718930103161389913392679434437435835964323533840276455527089001538448988095582672947567031612368006672649016735860570012190967584099451689227102927218115833503799886598049898408243460354872166226070218098532214050456825388614920817176424683975029384516417569688257771345107064608229656899945457456290148307609963087287469457280455843563790180801584533502453012122001275124304978137319465969540941371684629638376999197619001964740047116983668099643054837903888301124862267914769370136245892873089959506284352335409228093499366306023245677528566759292172873662839344111532116552350316056445267579421329912878143832904150684844094852670547844298496187092394395898251300222006084288342632997931604822447182013559303652039631264446925118018941340494655085931273823379010838995182281769132117458385437057238885792006530121295365176961683643811476700935538199730204144511838436445696455316258710415531554600869668741641231338236563243356277696562153490794587351779822203432738524629627667484376144493902854262629438375043620870473096602279660050310825020151700551107850758268646492946686245850976672851797417930318476347616083433402466113352748471546204991265968283106704061845467423441888330501791288155672048828048258723161879948620613862135614618817006094998578542191103620845235282324611731360513030167542597438180852120553576020612806147877653674502974532162801068021655370162837387514734422738959494789094769741169243104542729243303666619676505832041274938679618151581366281027366234917623128131173292498557203597762209669228734406399836819213718911763076186220743591156779540086872850026364079417895902294289027812307170577108532309265625323107483326975119050988337914435461184114295876708332164277055333941666351273930250027613258862346803768764912600072502417349809370192710406021662500712951643162743061262920236927820067426634901144322200774135941873856686949522667654713006443394390595905741672180099893129168485358498212002180157375799149394814011353623223092801456719251832772212122278250326356378959278459305811307099731284127381524905853369300972712928486153495691075808937941048321454104649856798973915590361186612699404249373174563838445769986734085375119140004964229328945630835296271670940750295363978277101044962298257988486969147395544573702208010786371994761283512473447235679227509284340962291293322505362566732699034783262411765582223184398607092426006517696759875337135830711253713079435039650516443936336948243270209307095262078934063933052982225957820775876208423637465923807834527803099486381247210844873048012791387177398301848031604833923630712851915203427903838380315002667608616823612668326956108290414399436973391449261035498468212116367191953966627447158992604123114847775475994898788245525999809262196983607185732168088714663270682059292480038238972919214407052630617667898346523234805162983071915856903223133200940857986051218411106549347659567648535245699466230061766423538059139342544452806733183166630214645806438141687909201083305965443766414727173549736146268632718384280792968500382751628102591750286075808637315724318697703079500117137040127249434415817362381597954922954808575970628489860067642879733934643882224148444462496362338801959101333852634484066573667487693803947713965561278844299490434314503793423504933930408403541676532357409152439827152861798645655868444658475460246773473465543634536289725774599301504112969275272170339398894869231827579828125932163875519919861137490886473234298951097601903381234483836070307415015377653455777234235846408754692703230057708707754491718344347891137835033529501518606296841258510426642666155203506897149981858468212812418822379089206664101945459075246280879896826684070977486204327210042962803185283229744973801258110470845343163542567045711814342233622144511160536522462999446136666667078837542613344544352508656045873134981028458928462342234383940292788067408957705421963681595720330358105105514886024203561240474203566153072610793031909880654692716199586669066294396629039191277592340476640618023300889040445424767100868736081264917779843513169694007299894891678913723046996070511255587491084371563016537512323237241438878689749576888514935869726675379648920289058917696970109310794426512168430875761904279236545088114576351773656863507954918763012172676499768358898268794540111099170877554598130775015756068958724543178314384865014810521041921292161290356588135410226933318069419590450820152261554523761211558864729554077019982681342608787648432233107951666417757814962304513149680656351257775725219818340361939048028446498610820033873488255566919620455032106456327879354826223297500630802755592992360420159868286214406440682175974183725090588736255618665634455958378620017940646794212011790729172329755529134509427132424487455643110295096594552200780753250339404640114716506349745257594396473307335325315210537552591113884521254624041477802885350873666517389213341085689845394798414423225204512077418057791860168457950926542384393259018718569492866561605776803571983898074607830401327700526266678414313274964821223018223621925579211948227971003271776955301970453141110673567660176887579918948084323914977225467702285569291495946022532386250784901013135123405783288638369329974381148648044428951835617785092141571351301321454251685102115302607024589075820678555748939589997360960033567439441933301308851056581206119093498503265601688106108941365485870026502773114370843219526233386711326014003056613617172892548964790361974007711094677514797483742910314438684395840850470837973483774418663418684342864821470692194091451938164084402887199319345626626872493230246686108896525105343199998536986733361546239379090173303654913683087574193164786218338231824265704563211523376362738147927320456470639204032158674849351647876146747143525171372788733090022870945200994883597331657277491646376555208693303341580630280614023616218715702185241895230575227397331982424761272742982398545799134716887948643465080935031014299435137252498235560189393738364165647421423250995904530646394258545984273747636754128905777472441296157398391149146409629437368429792283568406345400225551804593722762056872567941670163959655015729165792579246740435184503521180623507769880012717654759737249667552117392115402653988723466469253170779795692334815675041471461734386160092701748934949154031663883685540749314468343044574843783537886372847375653070111283165333753364451413190433859880312019037684321321527871683963397028738368814751217301597587050285508959609567024046019379748161309015437152191988087912193593067021770308232141346615591056231646782546668695952573672417054714622867532955765681094413147184699892686152736359654904060437900119529620740907134602542441988606016369253024938027623120346342499983669569767467191798411934406362041064654524031803444699824925520356748009803371932367345255432769727534260032041022640950335551374589939641430122337219041406232249273871385304039445927896903079281163096759631208391359155535093336205938055835264082342520967834221972454505425862637234905239323915531964151291061680523382923297548081038674720027891131155655093668839829824632829032848770761101849608629303179066735368696363692735878931975945881703093675928832862126888074343233441965721557455813476203080558746542836935242028107168296178635699024722569117037470056104722058702864624871500506997735027832031552805529851307888075672573360374250277829617062403079782519223567237031783805682996715877310331272801109515518517497204705441914534328126066370295354880714543816749238735393582886949516354056170630222014442843361746306905441614280733033490247275711617662541784041988139818503420245004608549551975728617531909648258298856571747401389114168283042174610857584458311264489960929032493264840043464686493554479623394005644701178742411528981223068893416352593896449171176456547415346791375788512727822582633190905750934016924331552153009588193142903321492736111735985529147917155392262636609415919422917367965089962966186677488311962969046554529427158347950815474351686182296792854368002705768865997635317660353481691572113035138260905602610341292543764355287193896294062513660756783799349823460908138484906127270169794956113726411855946349245630146417011789381128464393758262860542968686615950798173183730788383011447243397172104468671703270698288627040933834310025771474941329729738342156974096636355808754574379520209349197363792023155064638814005714173977872086687257290393168867208675150340233178116948873357470296254806479346151533746725346187472727153555670112653050459625413298603388076129384033639585742793941802552605492996560883398987797254215226388717807010307081031642489372400329438445669360288225916016415608696634107862638398280540198648464510309071238042529527148400799172130015250959612526265192953079491887195718915501574431242130845713677659273971527061285046624940287235373442297390883335770534772979125527223644588614323182132419538754653287386023562757786230890100452428997407242449620318145155210732038925670078914975590490016568210667536325398730296583969961370783003937398724912749152743397714361138544353201095825831602157167398306499689921776019637500650389155873783558490879832111859989941916279437705638173410900631930447988848559854444217276664392378511866214621470972918211512250258212846835520952729310326008987032985635994126.19
