10,619,509,218,277,960,815,283,884,749,198,157,594,319,995,015,955,543,998,542,790,598,781,922,071,856,722,125,986,855,350,966,505,482,561,797,909,022,351,937,289,800,489,474,501,296,347,031,636,722,715,596,786,405,517,512,188,658,562,582,627,976,289,823,348,514,369,708,492,805,945,267,530,221,347,176,402,177,621,736,656,860,233,418,330,550,637,215,006,095,847,309,007,420,934,173,084,462,387,793,600,001,187,884,202,296,449,466,183,656,346,780,775,639,771,979,642,271,293,592,976,264,931,672,014,467,248,623,281,548,671,749,798,437,847,865,175,565,200,433,191,401,725,761,716,028,454,037,447,928,156,422,298,010,926,161,157,970,226,311,060,001,417,343,077,240,286,740,014,084,689,875,574,460,127,773,128,678,558,612,706,932,958,504,830,340,443,728,574,804,433,674,092,046,685,414,965,654,008,161,127,404,509,486,859,231,622,443,662,658,665,336,780,120,355,935,328,272,907,566,218,510,160,376,063,057,208,020,047,069,991,176,817,242,915,206,528,118,692,837,248,135,757,262,638,317,472,314,623,107,281,632,531,562,594,086,124,418,216,192,860,090,686,103,813,903,465,341,495,475,022,180,734,158,755,389,237,044,933,334,215,942,803,016,793,761,661,191,573,847,270,040,988,918,520,932,078,175,947,748,714,880,874,249,371,159,770,292,871,123,467,655,086,547,013,266,270,380,665,621,701,826,741,522,728,624,760,026,933,091,584,986,304,366,022,184,597,053,069,389,146,980,371,517,410,068,181,829,376,512,586,732,964,137,889,721,119,927,895,211,583,315,494,877,453,828,518,489,266,835,088,330,077,614,917,513,495,180,446,293,689,841,345,355,528,607,366,401,112,446,031,580,486,937,571,354,112,248,083,666,210,384,142,790,799,850,143,186,887,489,113,068,388,228,277,993,586,872,188,810,565,183,492,198,955,313,491,412,493,433,440,408,918,463,740,363,269,528,585,235,020,377,690,989,658,362,207,168,470,612,512,525,061,799,422,607,413,964,060,219,045,397,924,821,315,124,902,667,999,768,024,965,145,189,533,390,476,301,013,384,045,643,483,951,228,494,740,952,652,237,917,069,776,185,365,191,235,920,789,577,332,859,211,459,257,403,790,560,199,614,371,358,012,217,877,298,088,377,538,600,019,920,114,649,026,511,718,629,416,521,533,702,770,589,914,884,629,469,063,200,387,639,173,176,349,537,983,531,703,952,623,335,124,008,377,768,156,155,857,731,083,610,626,354,765,653,878,140,668,063,792,584,608,603,363,755,213,181,812,536,282,317,469,816,631,175,191,970,309,004,509,377,380,063,055,496,568,512,563,705,316,752,179,060,949,488,866,914,895,272,081,518,453,950,112,613,250,924,177,292,233,129,622,222,987,918,243,007,962,121,755,143,331,681,328,622,030,787,275,810,946,620,310,158,799,876,683,721,589,251,303,913,307,480,798,434,754,085,352,935,759,085,041,599,214,840,501,945,772,779,543,484,226,179,637,328,255,271,458,345,445,359,401,760,682,081,075,191,277,117,914,930,732,886,477,656,368,347,838,030,260,535,158,945,284,081,030,295,719,940,856,509,703,993,505,084,616,642,316,420,151,380,966,033,537,984,168,486,243,157,983,821,393,888,858,533,199,218,867,246,203,917,659,684,357,981,650,003,781,995,305,527,523,191,468,736,201,139,590,325,069,117,141,910,089,692,716,715,944,925,864,759,930,831,317,949,489,501,502,109,954,053,026,939,490,398,600,098,447,112,491,392,918,566,825,277,492,817,256,041,214,993,053,785,872,058,207,875,764,633,437,464,980,627,620,817,752,038,645,317,829,483,262,307,528,996,758,082,542,426,966,148,177,457,869,299,391,401,949,646,991,969,758,848,969,821,449,813,364,141,826,767,321,632,891,460,162,700,576,754,387,505,925,295,553,767,553,129,348,075,441,928,841,415,702,659,333,912,751,005,538,011,429,729,161,871,923,081,876,233,676,944,919,907,389,894,736,435,584,289,160,386,139,317,659,923,485,676,337,836,815,048,918,816,811,979,207,199,487,867,553,105,935,455,317,032,360,308,643,238,016,330,579,244,997,360,841,991,158,888,696,475,771,835,757,664,496,961,162,844,715,313,429,027,288,410,802,995,126,492,631,244,165,476,655,118,371,384,665,238,128,173,240,187,225,119,745,261,555,915,393,146,333,694,114,624,407,525,314,681,347,561,462,663,520,044,885,928,384,187,132,316,444,656,039,974,930,283,039,056,503,886,334,973,683,086,207,011,809,388,819,649,505,418,444,320,853,399,484,578,259,765,946,808,549,358,431,366,216,059,210,160,893,950,746,524,840,152,990,083,732,333,850,464,074,803,396,136,606,668,707,495,680,342,148,044,216,435,231,725,225,037,589,735,775,744,804,828,768,617,392,449,690,729,614,774,744,706,399,123,085,811,914,736,204,757,749,661,993,278,697,032,126,010,448,154,548,089,829,916,269,989,701,037,080,602,665,727,058,649,319,193,046,315,854,227,827,534,590,609,680,770,545,483,151,886,843,348,150,186,442,943,013,676,162,229,423,059,820,137,066,036,181,685,894,399,050,518,868,718,481,192,976,143,571,493,767,625,399,491,551,712,354,158,302,953,169,208,347,198,451,824,803,913,024,619,657,311,386,779,292,816,998,278,998,628,361,267,975,055,472,943,697,707,702,115,965,351,896,246,930,372,688,608,372,463,480,235,946,782,315,555,855,594,650,807,265,178,851,312,378,459,429,635,190,649,154,097,761,422,593,693,379,609,137,842,606,565,901,109,721,026,586,999,468,852,703,599,049,067,155,611,457,925,986,234,340,335,213,114,301,482,705,807,419,982,062,480,972,100,284,907,888,689,234,531,027,225,707,689,802,928,757,188,761,072,845,702,371,347,285,589,360,196,571,888,737,197,876,171,371,207,892,774,788,854,471,141,472,514,533,314,668,917,957,613,276,170,267,263,473,313,188,436,785,592,978,088,446,285,056,584,595,493,449,847,850,448,952,698,435,143,475,193,949,855,162,065,538,671,345,438,461,878,294,609,630,795,964,043,855,295,522,777,793,088,361,448,572,255,848,347,129,075,164,606,568,773,318,625,291,134,182,963,210,836,899,547,824,652,216,619,144,417,573,924,631,771,984,611,776,695,364,704,813,099,177,204,076,216,710,389,621,522,079,853,870,869,616,798,612,679,497,990,930,656,991,047,060,461,136,849,570,390,295,246,964,305,007,681,292,322,615,071,704,760,468,074,940,642,670,328,665,753,876,526,245,085,249,786,819,341,755,884,328,660,493,725,664,064,069,122,366,478,750,974,956,211,676,457,055,381,935,380,316,540,708,854,226,743,911,451,323,610,548,133,501,501,738,422,739,928,857,831,994,517,443,944,544,365,434,192,439,484,842,224,481,056,941,047,212,383,499,619,440,820,503,103,681,529,679,452,469,077,972,699,519,244,433,780,020,802,380,791,441,694,552,818,902,328,101,660,617,823,124,935,416,642,172,825,173,692,746,965,210,400,785,070,156,581,305,270,654,601,501,250,918,480,820,504,308,220,672,409,987,081,836,489,259,257,315,297,139,655,463,996,341,578,732,130,418,804,975,774,137,184,751,068,264,873,583,473,802,386,648,461,316,220,616,645,118,303,476,091,353,341,356,553,755,872,051,989,750,316,482,141,308,245,980,575,789,830,512,424,942,668,145,661,550,794,906,224,064,496,355,687,912,053,691,011,641,271,237,813,031,933,740,533,585,466,552,495,323,534,768,711,365,546,433,640,625,958,439,759,279,784,195,837,389,486,380,810,935,860,934,274,559,733,229,902,455,188,030,100,353,937,126,218,183,843,012,773,311,655,734,634,018,175,991,019,370,330,732,430,541,488,789,757,582,232,903,208,832,118,083,340,246,877,099,401,566,623,504,884,840,005,419,032,439,083,897,146,722,713,492,221,854,576,743,254,692,115,729,279,828,122,013,540,858,181,773,333,573,122,410,167,441,057,768,287,777,062,448,947,490,595,656,092,479,474,569,293,350,829,095,043,221,146,283,436,432,574,420,303,013,354,984,468,612,707,651,927,390,943,388,212,877,528,646,531,974,632,310,677,252,995,196,233,987,474,504,877,659,589,480,044,609,408,909,918,363,740,575,921,234,120,607,862,797,605,422,648,139,426,497,137,845,149,160,283,685,592,901,208,697,253,292,213,089,351,583,433,543,643,964,350,856,457,803,703,385,506,779,340,857,549,958,364,581,272,181,306,282,137,798,417,334,046,651,584,196,189,427,085,368,112,453,344,858,263,509,968,537,226,610,901,014,542,411,299,098,084,247,168,989,839,893,435,997,208,397,137,230,548,085,217,599,028,044,066,597,189,558,015,323,549,343,542,524,921,085,151,161,513,896,963,749,642,958,269,114,410,489,651,527,601,381,330,577,199,932,449,796,538,511,800,246,268,172,277,139,060,662,063,529,156,765,115,332,051,690,173,865,610,514,523,430,522,797,200,964,143,049,431,854,056,620,142,050,737,561,666,859,494,427,696,747,003,503,139,405,674,839,482,257,623,867,755,458,968,648,396,598,842,065,882,434,656,402,285,831,617,601,369,320,254,761,400,310,501,794,762,434,218,058,356,561,519,697,521,745,722,441,845,238,274,005,135,592,752,580,998,474,207,912,224,676,051,079,596,426,716,668,816,947,287,167,199,081,781,688,280,033,809,200,808,713,883,629,210,381,274,890,621,081,767,069,122,109,740,083,025,441,420,141,362,477,466,440,056,108,074,656,479,553,821,155,355,196,279,084,334,872,990,984,830,632,002,615,862,005,143,942,631,657,462,252,874,634,165,101,739,695,189,049,636,431,020,568,327,031,650,284,014,535,228,882,799,444,974,882,660,332,705,235,336,104,244,624,646,566,207,263,068,211,747,629,291,004,710,310,899,526,631,447,059,411,005,459,479,181,468,409,171,235,098,935,385,621,878,310,436,241,020,997,753,889,911,018,579,470,949,389,825,703,142,601,560,199,723,352,030,953,797,428,248,468,515,898,272,793,049,747,566,761,022,605,944,358,136,761,337,761,924,213,945,674,266,612,392,402,730,487,050,822,753,662,785,077,069,300,746,125,890,027,018,111,136,587,717,270,186,825,707,524,104,758,427,657,091,415,806,471,606,814,292,835,085,721,650,412,796,875,392,025,402,216,040,533,838,686,270,056,864,706,760,780,482,450,182,714,310,234,869,491,378,969,077,770,253,492,461,554,951,862,612,964,077,889,663,246,436,369,444,551,735,859,806,213,285,092,504,599,210,463,760,086,823,462,188,922,684,732,492,648,973,997,090,629,654,005,844,368,559,473,250,194,961,529,983,627,966,718,275,721,062,710,539,093,414,943,196,494,052,577,405,881,551,778,699,649,387,373,728,868,743,581,363,617,961,797,440,029,718,878,045,718,107,056,036,843,811,203,498,104,289,248,721,006,081,073,833,884,381,852,182,031,331,489,180,363,285,168,044,206,110,284,304,725,019,158,013,488,621,712,335,386,425,288,654,713,909,687,781,982,179,296,507,219,603,741,044,539,341,637,676,908,227,199,721,734,153,859,011,247,401,869,617,113,062,194,144,962,751,541,368,548,613,377,778,131,147,722,779,490,806,162,975,625,517,134,764,135,054,544,545,617,220,086,144,093,578,908,278,382,800,098,220,562,374,477,596,540,042,598,053,924,247,306,928,052,081,396,810,041,181,082,249,771,807,999,532,639,433,080,766,958,070,008,549,141,738,662,955,751,341,955,131,443,655,900,819,324,607,426,813,660,344,001,530,263,446,000,317,964,062,089,521,093,163,939,062,474,169,295,935,395,688,708,957,390,987,486,813,570,380,628,083,548,871,006,844,333,384,558,953,820,277,700,300,192,452,140,867,157,364,618,631,797,267,061,054,734,765,312,537,282,884,214,181,395,830,953,106,671,636,681,373,329,960,536,514,079,793,578,892,748,499,911,931,496,502,559,406,919,545,034,458,052,521,006,763,368,834,066,806,664,025,471,271,993,639,646,018,859,706,314,275,708,180,585,792,541,790,150,694,113,602,115,385,939,351,848,134,047,058,464,596,674,858,910,987,077,618,495,320,783,203,258,743,705,328,103,360,846,950,878,743,848,810,265,423,815,591,485,298,816,849,353,423,310,962,699,057,170,272,022,464,506,261,082,736,196,935,154,556,260,346,474,884,041,499,920,856,669,826,395,772,644,486,785,985,884,504,300,077,697,016,282,406,064,847,702,891,185,090,998,144,993,309,142,962,323,885,832,679,853,366,456,440,938,888,505,417,195,252,181,681,722,383,081,401,742,704,198,546,084,159,083,168,687,829,775,897,208,833,506,000,390,858,339,940,132,775,013,907,049,964,667,506,372,386,121,674,709,289,516,143,173,362,093,238,426,632,447,897,246,859,923,759,372,066,230,894,797,301,264,620,118,758,765,899,225,224,451,233,961,353,715,504,720,687,270,541,177,112,907,947,994,157,329,577,702,528,395,684,888,982,533,775,041,627,504,912,928,503,660,212,056,483,322,068,185,582,944,057,640,825,634,018,398,852,790,467,901,284,367,940,591,066,495,330,896,953,692,264,389,526,328,461,959,331,744,467,457,343,887,541,302,877,296,531,352,449,014,429,954,503,921,001,542,563,384,628,591,629,260,816,213,224,932,314,009,803,378,403,868,220,803,949,375,764,478,380,669,524,190,983,667,786,119,977,783,618,788,529,988,020,725,605,603,675,248,880,958,685,920,749,896,156,202,235,654,903,245,493,254,541,131,328,527,941,708,016,720,166,920,174,829,395,825,988,020,590,168,874,152,932,297,869,640,835,289,633,402,356,254,122,892,372,578,305,465,662,304,128,783,392,574,727,690,579,548,984,564,343,928,388,513,054,854,521,990,429,596,916,724,530,997,768,355,970,645,785,279,982,265,222,521,756,924,613,552,432,459,476,113,026,966,373,620,861,010,578,591,955,836,583,408,040,614,955,996,465,260,312,777,055,721,250,145,518,647,127,139,818,321,256,496,207,729,965,156,641,840,118,857,570,922,834,830,651,588,335,491,120,756,947,106,138,873,787,862,640,922,411,644,233,507,380,298,745,156,179,639,480,437,964,964,616,404,796,115,048,518,949,127,055,011,280,655,478,680,560,527,155,965,168,700,038,270,808,639,081,455,209,138,494,278,632,213,707,280,743,274,806,438,965,405,831,330,727,322,737,975,819,766,032,831,999,663,009,521,472,688,891,632,495,420,332,499,866,890,904,078,621,984,234,115,169,304,003,803,358,072,889,512.65419639897718784
$ 32124828497119542038436104593777482188349504039735364295961764497536053075802361870197277432894741376664782666490286931062501729975660169481981502958352401188088224231025992841973784324901544849109724224419871600202047646314249050872168809988059959917897508305673605914029148883750110159505825202026012907789568883850956533035068900532434167018872915880021899743577470528268875476783882250429306370718281138646619179400956366240785338455256344707331640804907356221193115714844895689653280595544692585846496880908819380927222642895947841969469938502895240517818596252313082636494089335399680655309936036235528863327284818587724704354428216633829138993539515087876491940800738552036232929866941639041367281775523583968894590246732951710905148296666649802530329187732031132981518176832060975146816709475413047227541083686319212906378983929665305511367053173317883718278708848793566072220588749842903439898070479129336246011394585908228656026147101168226516026616729006292368331243882019768826381373502095504752798150381496220070261544533044512287870337839821657643882856921043176298046797143508432948223647354906233381363767676223740620614674587624028765264747396322629557885314488262813382904087386854781003658802572040171132896903178230371619861716584214244134692946793820185278938867045696686096139938781154224131444217790230051757340096603457809605821522630218476940898806221891388729828634625339369269012536022159183337927046953960721110540128517406987065631009596500276915920350219218588004184889523935078252902885660108266717754584767480250996038684112815771517535939264612389109485879890960396157992049246814459851604334050792666858768379684079367221228354970321534373504310990714465571966218111299639821115920978576353350769322199904088501393734928228498159865539084654584550725247675150477055736407943357076346689033079047127593225439607363056606574066969876679075459410288211238448216268456210821464823090773861538973472393548002754725474585775522844035906348455657323371341623017731648188299296644033653466169680458205291685233834276379236780232869253079442386153780517665681038891687989286005651607952181302792255900990686539714838925858463405013121440157524104792511037541796193656980162242369136101868642088003762158900846568865949986122192760823141635107692595097830361603381584319373888772766381594894624274803053187076792179097727035637452330492948626279556775633164896591479623980445176419380054412821267022880440366989511653703409193116947935334892437335290443249423233082565516756338512915858853990529937047032672874787973601291721509082380220243160520783701575727397342519000380921903137259528552947244217352167742135770419189157162759928432726494511324024284223208094704539165142400930062387071186789047926025561818995626534165822163478754349660296081338101805514358051363922206922271212091052684787971865736195650079765313331514082522656171150831523470289977207446812683320732732982450879302826657425885080120303342862215277344762436671068090790269505699586968433890686213098538534789526632581702014021038444091118446540237820568816740404081235946183228108941738696039401730009743410475999070026431654112307506927812581546951929371018512134373614043344943885652527336388036961869920511161534490246919123312887947185927228915690779819689060226187380025907176747214001679762861413580381592762143240426959382793596072074985660187553001632330902844899902829023807090551665670529863257149710534835497440069570817253422118027722745323316634356649901363949494383562420494793126675899832826782550453037779836820130686069680171903272381822969323868843512453661852091266340178640194911832788389694982262291886786264870793720145723254803984700553548039754191284839908946614433050007432865132484731754609807040950181785180694304166151917530959367895025934372693486606484329328584955539597093977911593885328697796590441396503297007148804003930946116597460722044643099463365601098576426808394597275380475155157783221143237058977286376010502660914901516616139539530891955035599644519630699965997843609062919595177123868533998186376256597887127123776081203793432758807371747544431193521241158135278746291587747825289420568630520030126866914699431994871331042266910101163994409896979094275784918419422689429271358091927186814701435703421849954479839202990149499153676504131833621580469347159799741408449129421862828978090658615105963556164991545753470844082601302662065905948501578759520338110276719807427487489429545602050234750628179126010267894897075120549804602442339289267618331367229836867862523672960240904302655455644470241186871511011285731950112287872675410118660778555141028441339975206277910526298562658351093793632872325707713909417954341755528586821108392302588862495468124281046982820176829890361592481050411501163397413794095341700301908529840195089543636915045044048163451797936976986313622825221344149055262614940871914392850963258034708744082610403818097762750107263740406706760414097766894862469134677648105590225053389887380692484893899718161818251524137473490949067206827022096705370751751329628914815162263005246493433258973873520475179724350396492251032736246655207488558221836705601902104074474364634689783219663221681038368255434109626504275790009405793905314424451792247107591456862850101158649407240532431760078129163180303233226287092269195281748390910245191554499075309048269425167918517920900713879382378814141817473275991151176009548008773491337667543567099242293076249314766191805088267874076470136231672017499779860869724768682892072136082050986133510749629425661567211728590527775662874924172049964464971059483073606434800140020129280754072198883675603638046167877006836758703643414442251522204540308321022082665586737235703437282552512683031825744523947468239599186579201238339062999595760833915794160371139683734399870121408531392768019676088097371236813596824246863878123255669622307211940300189290205349227696946345156214313900106736220361898662687508155446643136595287792700971935860348862751670035565534688881030226655148460412476429254697632663780496050358426258635295296469827489959354495678416857299677683818877954972273749528578275948481498074203876749790738424058834629568696117275128314843223308039760601590422986151956106684387933458677921254855171322181532230774357668662211775484551516308987229359053155511411949186399269328808652058452978102168627607379351532296675280680215199256704976815691389246035687500889491410297398441868780347648377486851658592274766380726168865493947528928255515739175617570186853735959691030929282153183208840072556175294846174584446609164795651785270653870950462029764786402048939081214667177209298270097034097118085933805742256515978851261915777161933434334964150499113523591009400014832392036033376409014889662728102821268821689412548084342978847874549475137227001108779137795388020424615054623541203293688423705703702561964021432227620729588464735129885189067270283344304497371374894684634002931121610312011101065094505236808581220682126495375674083699920562181754018422840662684144333998030359686263198109253087818975651113674961709126400542012811090641820616408486286266606950910674264604992269130105901247650230476106741661211146087273423700062746493680901069286233269890792069817577922564073556925453342558885553074267655901207072214393688510365283850097369129469219872746885125454909955511422389603377904696744762767647981150860513376300149241123775071895328346731419738256555236261975730846394260368694966789360541121818712358026348737091531241084322356025259929638647006702041388642379859888568427046188264412037964418831160953670658843366759456958257507404709324543343333314022664710053776158115408630663351320440892285405698264554723736450398916146328369332108665832827937178429592600570476134622547398357239122418731330022798137238997339438510819759700469814711693319846444770190192095827725875694113475404863432676196093789995904830869145659755187862847652614014712341576870864606020154623330490611308681782256369752121528182698636578088325190206118743260767144898878857429665331882683654740188309977822416602940996013978719075058718809811214666114868742397799451097593936665729841353358308378968850345789258779497643755314251878451749618968539679584306598036261398203277953788206704431601846341128666328147548000506858478349012098021234511039412066045802784713701652515775228044427618529913522780208129426617240136100859414294271592479021918248974926502993805065584093978336529356731518216056939756674478850292252326539051181680093559075943246275673171398404162786782463808735417470753163677998764021530611293129596353658624060703448704450965600702356794108884773736248031498523388320815786860317099433041240382387113121733343685429145156508651225468992414712426343173917497401977106995137602833492459931854449475591783105007845042127941776374459113420890021947349511762639469589676510906871661867212400052054409896410725143081572240901761744392709606217250703056401894940259130270671106510663942057229178659740628363843276703326679516150260604340853000402487961814411089433422763075466921357440659815818479473602839209227758678836118566723522175040778798041656610676693752962349430433690613221566780080975024096791630891666098402655617964728393852063173020812643746418237864559983222902252165411856837656658507585257438536790162781184433862290487172439906182075765786542852044040575232701197351482874992167230934904113188291095520773353204825016012358491123512291145029662180420368460479668510606131948238552978580212074254830352192149690700298074175374185753655519143201350038182636467597693293692913716081728278295706068757720433064808335581537214048575257539219861285407112709196968618399526086896685503264285478559451919492169092494801852906542197660254901181180825266073565185643776926097872196287118838418629696070572084999189356057189710021361669235821120541400562906.14
