3,067,806,972,571,183,364,137,165,303,368,509,248,162,694,225,421,623,584,273,510,347,533,290,872,022,103,725,643,331,315,831,668,625,170,174,018,294,142,687,532,908,549,126,205,791,910,968,306,451,661,373,758,814,093,911,282,864,311,373,998,123,548,377,523,438,236,920,110,625,829,899,285,073,196,520,184,931,693,178,047,570,924,586,459,480,892,381,878,864,686,311,695,735,383,244,028,138,792,095,387,408,168,244,540,918,147,497,845,748,669,481,967,723,374,107,586,063,573,326,793,966,733,878,442,938,125,189,777,700,803,253,350,126,357,389,469,149,023,630,043,148,730,251,410,406,854,268,801,668,908,418,742,213,484,701,684,434,269,549,511,709,064,847,851,870,130,494,351,864,513,264,347,165,939,255,953,355,019,832,314,441,552,989,057,687,173,039,721,582,529,384,426,871,804,581,795,923,860,593,468,530,977,537,396,926,154,803,745,647,710,290,409,486,546,334,206,394,519,066,493,421,389,008,104,968,367,959,309,614,877,897,117,230,997,063,595,810,792,391,224,273,044,374,142,002,528,242,938,114,611,662,274,725,573,572,730,850,018,862,973,580,189,068,363,280,718,834,269,431,733,799,025,717,930,818,993,020,230,023,073,279,644,413,217,418,023,342,317,795,827,641,705,091,616,924,492,196,101,813,864,542,023,657,791,089,076,173,595,461,307,434,685,513,482,118,600,028,399,112,590,913,474,303,692,819,926,203,672,792,045,610,204,457,956,641,879,830,742,989,683,136,417,212,178,789,730,577,133,749,841,305,314,547,946,379,572,345,174,904,000,860,586,461,750,852,664,660,859,645,979,170,441,946,055,825,710,635,661,671,409,522,324,713,251,952,403,265,457,505,244,699,806,328,610,441,892,290,754,328,623,065,095,529,789,452,583,548,520,162,198,123,385,255,724,068,672,011,978,885,887,794,724,814,126,425,383,930,230,473,391,808,350,823,345,714,728,350,237,216,259,020,316,908,334,670,039,248,096,523,437,766,385,747,427,146,813,808,705,114,732,204,985,647,279,615,037,031,810,539,950,635,620,958,706,799,283,861,378,919,324,421,500,734,508,038,595,075,166,069,412,130,530,088,823,167,471,444,290,128,751,158,155,417,907,057,214,772,972,175,027,950,131,875,715,920,706,142,485,485,352,141,936,869,261,839,996,051,269,141,942,687,967,453,841,499,718,059,326,742,127,501,232,762,240,029,449,128,428,807,881,718,120,945,545,369,503,249,298,628,772,592,602,226,719,015,410,909,510,733,285,791,101,541,228,841,024,103,464,013,464,189,965,189,453,777,339,018,734,017,162,991,897,100,345,895,900,456,448,704,666,101,367,234,802,500,532,248,579,604,159,724,159,392,437,321,602,551,864,383,549,883,336,682,331,140,535,584,318,117,896,061,348,398,276,866,593,056,193,889,797,340,920,614,641,052,467,650,748,595,989,632,191,158,682,912,881,124,562,659,914,357,275,115,094,383,572,096,439,829,493,959,538,455,427,714,269,439,534,145,786,303,683,762,156,580,123,336,889,184,922,679,360,399,074,451,388,611,339,819,030,475,556,303,199,486,491,216,626,808,685,075,189,229,397,806,088,871,924,536,882,944,633,480,315,982,259,730,303,615,407,997,919,031,347,047,628,364,777,040,228,892,221,037,506,912,531,635,240,287,872,749,407,717,285,462,163,640,088,773,477,373,907,215,713,465,465,093,461,885,100,808,244,515,402,937,136,279,378,223,881,429,117,730,561,792,866,273,583,804,327,992,804,311,431,484,280,303,090,111,970,172,407,660,626,265,468,545,907,163,692,038,271,230,900,109,249,290,171,623,939,262,218,962,249,077,144,303,059,804,920,468,754,286,913,005,254,249,442,607,082,044,836,091,287,083,466,147,907,683,077,074,714,850,405,639,419,224,941,706,079,551,938,439,211,151,011,364,113,298,801,141,093,957,645,222,858,217,209,119,777,947,433,318,335,702,964,558,806,126,216,416,533,266,793,238,667,523,917,735,550,766,542,371,576,182,809,267,070,047,243,756,194,031,812,541,428,230,975,294,802,819,780,007,292,389,907,221,626,603,224,068,658,261,535,714,651,134,097,662,311,542,263,466,198,899,200,065,264,986,056,818,747,211,545,955,063,440,785,607,029,150,671,342,772,773,521,299,267,282,375,895,326,548,372,753,292,977,163,541,695,530,309,383,669,538,488,517,669,750,893,383,501,551,216,197,611,392,364,233,476,188,319,814,754,569,802,785,456,692,686,666,641,740,072,947,473,099,354,400,617,317,655,945,597,225,247,416,619,227,229,733,199,383,512,690,454,641,691,407,869,231,917,976,968,071,076,981,488,067,213,095,490,372,363,946,432,964,946,426,439,737,759,428,514,576,500,981,800,376,322,054,955,586,309,565,264,976,645,380,586,257,328,399,486,025,128,205,883,783,286,100,738,018,555,533,534,693,481,295,636,462,353,361,617,587,743,237,185,802,561,907,168,579,152,362,653,242,303,168,777,349,671,680,910,548,490,778,070,712,982,639,222,979,892,580,507,738,335,008,283,550,479,715,994,859,226,820,963,340,040,553,295,289,158,611,523,253,147,489,830,043,461,344,996,980,165,094,190,366,509,553,089,097,650,678,001,525,361,030,175,353,738,219,985,218,517,094,877,701,572,480,519,366,983,059,875,246,560,261,486,388,102,764,704,313,848,572,848,641,577,490,042,648,724,927,382,157,325,616,753,036,593,388,685,429,169,788,370,274,479,713,542,899,119,649,012,753,589,830,319,206,457,365,079,486,602,994,660,757,041,209,576,191,575,202,041,926,681,802,168,759,843,448,441,655,481,964,983,979,716,048,040,934,294,004,897,602,023,471,835,199,865,923,260,649,579,853,529,375,701,619,237,491,300,391,138,978,397,390,534,723,205,219,945,132,955,946,495,489,723,134,820,564,798,392,512,477,138,084,473,042,442,865,472,735,065,709,002,858,430,129,257,637,569,787,643,279,509,188,645,431,542,174,224,790,096,167,095,929,342,994,808,765,373,530,104,569,432,904,127,477,865,737,640,584,116,765,762,386,026,272,315,578,225,449,979,397,854,289,782,951,397,115,666,139,924,752,846,545,238,114,397,299,299,593,648,173,406,436,259,453,532,272,639,065,514,874,242,366,636,336,922,893,752,479,969,356,035,289,594,660,667,899,596,949,164,361,635,003,102,316,707,383,259,576,064,797,112,577,794,730,953,459,947,144,845,405,738,699,779,946,748,599,502,833,823,143,187,374,051,080,595,470,132,802,344,137,536,267,416,213,435,667,130,283,836,613,057,403,223,348,834,209,224,218,229,385,329,752,888,240,875,941,160,923,564,328,073,559,687,036,056,611,247,597,526,512,706,905,303,030,571,155,875,854,713,408,530,044,481,700,088,716,036,541,273,668,859,768,666,959,649,063,751,260,863,041,495,711,459,324,589,929,479,543,109,146,927,411,948,052,095,930,403,105,539,909,628,853,360,088,268,604,210,575,998,489,700,548,494,812,073,939,091,927,169,462,183,931,600,730,169,781,830,827,043,466,942,938,016,049,891,968,550,500,965,930,601,081,062,414,584,651,074,729,030,290,037,915,922,566,819,093,967,376,178,531,853,440,560,939,374,971,653,120,516,761,170,371,251,490,527,153,406,878,168,530,496,558,689,233,441,419,355,721,350,021,329,632,370,574,476,784,437,572,487,133,388,735,358,267,429,927,516,373,521,830,434,443,760,073,974,364,642,675,009,779,346,578,066,277,103,406,035,121,764,172,308,118,056,845,305,039,675,395,834,920,921,106,316,536,547,352,583,920,810,049,074,180,670,180,032,149,470,151,023,874,610,019,815,930,781,697,428,118,186,880,279,567,887,052,776,378,436,924,916,571,729,965,299,039,045,455,089,514,414,966,932,927,941,239,429,192,683,406,341,197,691,538,529,475,825,129,288,914,680,299,810,914,701,867,893,849,690,091,870,567,716,467,569,651,468,838,110,129,219,974,779,821,493,654,365,829,409,522,410,143,797,051,283,338,347,304,543,028,056,278,403,246,164,892,597,187,869,603,109,433,571,582,874,749,115,856,865,695,686,891,743,057,798,830,903,185,955,862,396,874,105,504,767,401,544,847,755,861,441,206,832,150,199,312,480,660,125,446,225,230,338,931,542,922,621,138,144,421,699,010,196,134,616,931,008,819,947,660,663,642,690,063,846,158,636,477,565,268,187,419,718,697,320,156,794,659,356,007,085,426,305,006,338,963,477,314,906,977,690,034,430,458,593,882,717,728,583,784,171,008,542,321,280,936,529,402,165,737,265,693,813,753,028,471,736,104,376,830,469,219,274,878,351,119,629,722,943,550,001,172,275,674,008,458,438,056,797,541,180,162,194,421,160,675,073,682,069,721,109,739,157,255,621,393,159,746,444,547,188,321,643,442,305,894,297,813,268,005,050,140,635,669,981,137,972,544,635,568,165,617,789,952,515,627,282,647,146,477,898,432,928,848,451,263,903,517,095,277,060,516,646,548,638,777,154,966,634,656,135,825,256,719,378,364,197,014,483,778,166,274,517,433,376,154,007,473,444,310,303,383,406,581,852,136,622,238,366,938,952,022,005,057,954,951,799,057,501,724,268,657,765,383,312,194,177,451,524,111,823,599,572,692,092,655,583,961,310,298,368,844,690,190,353,643,405,880,028,136,657,860,265,357,842,991,077,293,690,663,705,144,345,850,005,493,971,391,553,340,657,624,074,316,820,543,944,270,899,139,879,536,201,738,620,240,300,701,609,464,596,669,969,052,329,219,560,212,673,333,411,958,591,516,822,130,624,669,259,783,206,228,015,636,243,908,600,141,652,840,523,731,173,300,890,308,022,326,194,799,716,595,645,552,993,281,668,952,631,847,046,470,734,907,650,532,085,504,217,608,518,903,454,250,470,070,525,759,621,216,466,738,758,741,203,749,794,598,723,323,927,490,824,637,115,976,345,527,908,923,709,143,586,595,777,384,870,777,690,565,779,581,413,645,618,943,057,801,475,904,465,773,463,297,463,027,308,353,909,569,816,599,470,298,474,203,253,036,725,885,038,592,104,428,003,425,046,117,582,754,606,671,650,944,958,553,145,562,562,928,915,380,113,099,359,839,056,513,497,454,602,611,776,642,263,127,534,925,322,404,561,970,218,294,825,816,519,342,256,760,612,435,018,434,689,784,887,809,527,815,600,664,096,323,533,739,232,253,949,471,277,092,993,029,900,708,634,654,364,958,116,448,286,325,666,748,860,169,195,932,558,176,860,816,151,531,191,268,180,319,787,598,963,172,229,454,799,232,724,564,404,647,992,283,008,894,993,504,693,466,761,546,472,684,059,071,564,596,484,674,779,830,027,426,246,560,170,178,501,739,392,809,408,256,652,456,577,217,544,977,964,897,996,062,193,835,606,837,161,447,869,232,266,293,366,192,476,726,166,762,677,064,018,093,488,278,707,973,609,305,531,774,465,287,882,926,391,566,338,229,158,587,596,416,030,656,977,120,477,456,444,706,144,321,390,135,329,986,825,598,793,717,828,088,629,865,662,403,222,498,174,115,186,682,330,881,171,443,180,899,294,761,637,027,591,774,190,658,974,581,872,763,727,087,281,323,123,060,618,664,797,449,121,256,734,497,246,303,568,124,902,962,259,943,508,603,123,623,446,168,603,180,348,622,279,445,577,045,153,815,602,150,983,750,649,338,773,245,528,607,297,915,583,867,852,142,589,110,543,501,481,898,890,404,086,405,264,384,320,458,573,899,742,333,324,023,802,680,387,967,241,866,417,018,146,830,579,880,707,105,191,513,747,520,935,794,775,958,276,705,412,463,946,092,665,467,881,581,612,323,027,350,582,494,240,274,904,539,512,196,053,670,774,218,172,307,826,580,831,281,113,036,659,314,292,705,421,875,174,128,002,886,312,008,502,185,333,233,657,838,464,106,866,841,415,526,768,934,089,001,188,720,720,287,672,435,297,184,238,682,539,344,209,965,312,206,842,752,982,587,234,694,217,798,111,261,122,269,149,990,266,892,518,385,373,147,324,326,885,149,178,846,877,367,819,433,449,749,973,531,730,838,126,273,106,708,240,725,268,508,221,714,157,476,701,100,314,394,425,100,235,944,180,239,289,464,330,638,728,434,805,655,488,129,818,518,882,654,164,075,002,691,136,556,557,159,379,842,233,698,874,360,651,924,652,515,266,612,720,523,893,960,382,807,705,388,439,022,061,607,512,174,837,198,470,533,241,094,244,266,387,407,648,764,443,547,621,475,953,864,150,999,242,712,808,708,132,048,097,139,333,139,470,437,658,504,242,122,721,037,105,952,717,632,499,060,418,692,927,496,891,271,513,885,301,445,180,703,466,651,796,146,288,617,756,421,426,446,109,508,728,591,750,539,409,804,929,341,544,820,327,446,371,737,435,778,311,686,009,661,831,676,080,606,274,539,656,313,871,945,483,709,417,300,513,336,343,971,119,671,699,206,653,310,466,008,584,569,323,152,451,628,788,442,887,653,205,214,708,678,956,226,941,080,778,173,380,687,434,866,840,207,160,688,844,914,865,291,487,881,183,785,367,884,020,794,528,982,933,117,416,123,735,210,593,693,041,142,118,347,049,642,094,653,835,577,745,147,145,479,116,687,721,939,692,823,519,250,941,079,960,812,647,162,499,004,310,253,399,169,848,565,350,676,103,808,365,688,855,754,353,583,685,096,153,443,899,708,325,697,419,869,327,385,555,515,968,047,670,658,957,237,173,926,423,385,369,477,498,823,804,462,403,574,422,805,111,026,989,189,666,177,008,232,493,253,780,981,140,442,729,478,251,712,080,869,714,947,274,866,031,100,653,380,453,068,022,162,779,266,799,072,751,297,204,498,328,644,642,284,617,610,511,197,125,025,448,116,674,439,524,255,700,928,642,537,241,592,610,084,381,614,855,964,881,326,426,257,700,905,152,719,550,872,574,676,854,492,392,499,669,580,873,274,336,355,942,335,860,574,188,892,445,393,694,752,787,374,297,875,494,768,371,452,924,209,645,231,108,646,826,606,547,672,647,830,075,119,652,396,130,205,754,070,807,028,456,517,876,057,567,607,724,363,366,747,525,164,147,316,582,503,679,600,443,325,288,607,269,553,273,591,225,031,279,525,345,943,391,095,392,840,536,700,742,471,523,569,713,728,628,760,692,301,140,924,140,502,283,642,920,776,261,321,284,684,317,161,990,275,917,401,775,160,020,800,326,867,357,736,520,632,299,511,708,761,128,163,248,521,720,687,001,787,227,256,643,733,356,155,920.314744728509743104
$ 12121181673947352256558042756686818450403145621566654195725531799429558884899053700347456367387310066218186032293884959970131609381093293510554291290346461455982200324322769006348152137580700384325711209276902958139745880138988178721498026175270426533943223178199644491255532661780086295981362346483698879207766484303099147850703052006695289378770717435102807762602521451860989628774510355555126142199340049042452783459520714335954716498551498185056305182505435191991900360887777515378799190123634806732574559374568788055434258935178158805008287547109152083251368034815786218159408426650171779215124208049524361506655453007803568379476053217375175923651803564793633702261655898584540930953733945549296422086759657573242261290584306387332412230426438740249152138228636786331347956332502182104337561971050621052215336700639043423603179430300456209707873347471575110656165783115740905002846802314951858098900018216205522716722718162090904510764812542341163643668161225035153627823696321647038931332710974893355187884011230198974414957059452966706118813488684674158201958855815923654623407435392700062777540440478041954754494003627103071330020283164320001478789233564102798772612020526041964981270777271142107914923957844659728734624163253841148642106916294239750642249486801845308859481051047254669163795032789301607544670579701117746718711539330366301405915096401083603365802196922474011958604368342238093932384638701117287483507485697096981104257687128485901851371899870805908886810260844313803487268951916729821473026786095231650228223397603735547065617001905001867305904240007269925293203495202293792110642878564249722966079356605627836466080353723430695313889435582933345823115290778829059037206256563473951151802317534387924461094650131217004145382487267619537618574751266703911429194131537312267572319143897123746962599266807714406894819554411110937576699740290833702054182060683029653594747312755071196883894310169112277898518793957402069724797323145134737127958454938367607074295688112237754291810403268862774126484387078601483346936644567071426260223335302432937108921452234972118595163910533394755196511002960859949393914853202990349746209523636089972332728306432310040740550778000029695599138522138295936794506162701211752503236581400131320559417959309023681792209433079765291366663555146601141617694539796327687884628528645061859297328933145865962338465833750587661985704675105067695743372169789005774889461540302985977803123099886369216667962343886072656228096838058184593209874189445549447260586674916971813945567777441613451862322560357241444459597146606235764331082850053248917065422036844480296778436526740033036022442906951254904174219830171277497854932214313545336549888544225198830273605013935491294281696639907289542274388264314572135512219149317896076360472825419812897405655309643734230163251261579331394229471174765015015590630412954115480654899088383155852838857288592774151421605895430116102607028369413988021567513405963674318205467156593812857528055432250317306358628018983331852233289410790964720680018334569060936713197287488121282705697017107612062750088203035799337062246348802053968188519172137284318030264217843884381633119608258801658872652947750240812630183557362143364598766092631967409168505721425589588500323427663411661409816325040224343252687828111574464198897964058954020154991278978011039923590384672121873750941911513522724732387813503191211534661643570896954244560187228045615414755377157498203546130531229751991445862181090856333100913919775378854813940651576518594565565375189827510011333020562861306159447652144103705561884109303565970961888146215287730278262259698588611533785229981829042720640032495886871314208534200094116695033838675433966288181022925963654906246603418948233728597114978499253945134121216847100382719984769809015567402597052968949431829473752041794886554483769739551998182454658477671466061158039042123077010517801988248729574750612889588592470442427027355594694519344457755169670943163061256699210414056965026416464359015468097287267104410988962880254805219307904336281068962938402775569748257652391246645796644513627368225535001436544014871462652019851488806283814750630976913481684496211167471453558023136339306234748857010077113850777867075756126094373343441139931458218764980916833061836782174734667949584505177912320398302571823998554236585513052222814292211820939078962150040457494091270761227562808931455402750845907485522891179226976509786396569858453116334057145168990570169978519333818881051139402418457558802665144164595751824739728043598777082409848674575808727947145599972642106978384042773003804469539353249587104747724327249261455675753270536186147441789738919561260711239784372725383464042304249636887966825012865344211102746326949630584451663567368366920225814448515298326418971275358048291040450362534771402755793702212313113677147353105096134622256323950429092641068866163111871968378687111294016176902207701388399552175854565418120476625556909335830798789781043107540438403072441979044856525488797011827018602872948669566132330850959798247766171867556471268563296379339849587035377003483438557405607337537787118859011395742738789098088910832678000246906828921682841470817889028301608647371188178369825897708395729945189042124970646511790613173780699555619681840811292932279107763317270003294915470179858576783293967817812422183236119403402580842786344402693827750216888011121392741591515803925718099388188824557544140294600959228609449872520062460043452419119891816067918342142123196091424929814191981612224180852081264414508473231541661821940795631684811858976769778202035966843828011582804248298480775366856679337294604713396755888962996476542585273518748486262542424066458472796982972007608819440350817171837856189246074277446066620668495686573067802869608221454154093954339010661617303895092852433052839144536225267566670508029372070321121252613923975105800436774036042737145443125013961024998761474940279967063497708602780491485897278149816334697900546110382025694878967013955213707237585995119567916208501037531113798987791473563274294175865691735817046311262941868881442456785062605284021387678129122282219901208360793697833273326392910934371712680260305622725773615286382369852532171424821633692540455859432266027344966642359256306190182504960657099446178853772481433159933035073138126288790772551660838463129832019110676412761778693499642201471065683686091766668073201509818692883942894090991539922601033736285088938775771005729325011835019555707944045058568195512396940954194062017000988398964683626922991711873914985734167747747199587460121979163701320758577215126293632583372535985235150525758827931138866711310399091115286148204213065230048374704072764282935503025964259282206343622751486014792967983020493199505802796218846138375792925613452341633428416994212507556425751314401711189321759839621959635487272660242086408270685882991290907254043044705215773008658080026701225457700565165833206172505619024270795119602209163758928747804460141678231872467277421005659856336158844536715268295866943040451808429699196081329337506414252367787394753668520313544851516936004637555870846323528311514095103616400893359585470972883399959830290626280398964505687542125218216019724266030964800776496208548567314016035147194251909103795556979546236490424874020501860679158363328763876670031642547838905779148629241891434952273341315520129871920340622383781263542091341686822131685514553229078428817611449065500358355113368175592241044370447435844078179455731630037569982170679895116764524286009691794859719957450944526693065628662365161927989201105503827529131812973772745091300041960428513545127823856014942619349367128763849716305658128112542910035774021535923159069012594702019772396593031996834695891244422892605285377983562677643954273736546767031409174846229532101728741157819163392337524249520614624890871066221855780405075439183755723051811001514634203791209142044756611941094697110970324851760455046376354459578841368385636177873650011768504201710434014566716116163069001789279704499838822740093826745176241046802234882671686490152352393281571754159168767428133629370073656812773088869092792469326266173292346145887598177247993792233632078037890649082779627416283598151821865117245032985397125786847657288028832004976437722237440762469545211084272104941068599407360513598072861427949662495963046554560311264620893153390441976875648597045815780244488437368924601374234140835659248870063643223008019040176056839151100047130260677277521013943075443668640736880750110804195239199437364405602680657582066667567030738434196399989620539071708412733438327505560748923332009160484914375445392585805201449428007282578673515465400283369104250449811973557842685813450588438531626296838776821740451050969319167155015880068683297456075932578883334432053075553635924429518897449101203580466872476792884219454013836744793619056236741099943227882547423405032793290770314182998797438264975795663291906947924445843320733201536034785899372092719027656205835057938949153195978305491072271361142846383658035555314543168551251406810681959430738812709561121489573812875913022354461141757787976013228309872720903695324324430441697485259303834254069664097989373804911280573901496667075599585134861426199990978203870406349254405378809846327495676907850128745833216379178395746361341756527452693447342064519980269939967658447826521152331142968351926536875644173794819798998133862641364854159634414892750820149632835616498003772806835193678294902944330705272788844737178935538552368714990548117377484845464234037499730926622454694500822685383089654834452344582271476502826844529007594229868589420527106509399523368286177422493937774203477086079631540258373087003389371254307863725539387341556549294330063552353129692839335639154718184842796213480241622627893902489314194571579793497971671112566178571734910.66
