4,642,212,570,769,692,219,598,335,938,727,704,204,755,535,954,719,427,325,960,973,989,151,551,794,257,496,245,107,095,120,746,799,195,989,350,237,622,524,767,696,118,030,457,234,806,129,357,648,044,451,830,862,359,536,106,292,991,939,404,616,454,579,710,204,072,116,901,894,055,249,197,103,908,850,407,287,539,423,366,638,111,225,665,906,636,438,086,050,573,050,814,473,953,645,230,095,612,308,549,943,852,829,866,870,918,516,261,844,265,616,931,723,015,763,844,368,845,595,042,447,961,256,281,472,178,977,354,231,276,981,220,907,656,173,588,660,205,546,872,842,517,447,047,167,283,235,065,826,264,945,488,014,631,100,513,854,986,841,684,588,344,407,027,952,337,863,229,793,432,455,068,078,360,907,368,774,752,631,249,861,935,479,467,920,649,925,977,918,270,588,254,166,433,185,972,141,997,555,980,422,697,850,407,273,480,153,768,775,869,936,933,447,202,349,136,982,143,442,205,144,740,105,813,566,517,320,169,292,131,501,861,480,235,798,262,550,851,664,358,149,105,121,123,939,296,758,889,940,647,653,855,458,401,509,275,336,042,350,877,561,806,840,677,549,301,096,972,557,447,832,826,311,853,281,160,332,864,155,943,165,067,736,234,533,915,405,387,252,740,078,997,951,577,860,093,058,739,279,620,719,421,940,645,955,189,450,085,853,714,000,378,800,918,614,652,729,566,080,481,656,300,233,239,845,645,823,345,246,844,660,248,690,306,398,648,011,161,012,249,559,499,564,889,750,048,790,349,518,563,157,015,121,427,410,711,573,830,262,754,844,603,456,000,618,795,591,905,989,560,664,944,913,972,246,237,243,148,173,098,701,023,488,127,459,200,664,816,920,744,457,219,329,642,953,329,684,883,911,373,264,740,139,850,848,568,459,741,221,528,918,028,760,579,684,911,088,868,750,069,780,280,571,464,881,023,935,768,595,533,058,289,948,458,043,074,687,736,782,220,241,972,098,841,922,604,159,997,640,585,235,436,571,881,891,029,998,116,521,557,238,684,846,941,068,064,203,210,557,069,243,628,318,419,813,552,285,961,438,765,638,821,218,601,989,393,973,645,867,229,819,025,046,918,943,047,042,360,000,360,293,435,690,149,493,414,753,316,333,247,996,099,357,159,070,867,152,039,241,943,422,279,138,632,253,364,895,388,209,216,162,886,030,882,733,281,778,761,647,784,181,095,218,985,261,211,901,990,086,999,707,043,725,416,375,657,465,302,760,106,065,824,679,723,159,005,737,237,415,138,743,267,787,470,733,088,985,057,394,920,291,382,124,193,004,886,695,015,993,974,957,778,665,976,153,655,901,504,165,415,498,883,887,424,919,925,118,280,376,653,057,524,915,432,324,616,557,591,359,349,999,499,117,868,393,496,866,029,230,775,121,389,594,459,555,021,082,148,850,129,168,019,868,738,719,000,550,138,116,481,325,943,810,221,199,279,292,796,060,243,323,270,401,660,850,194,194,534,551,755,588,038,997,990,964,545,359,298,625,522,748,981,742,907,425,161,016,646,120,418,466,314,470,470,759,963,300,423,559,195,122,072,270,891,899,920,493,950,124,677,863,400,205,292,948,612,135,411,240,681,313,293,225,050,992,309,596,482,178,218,687,406,261,370,666,762,393,859,482,155,892,132,362,320,632,004,714,159,045,113,847,785,908,641,356,598,554,524,636,299,329,191,648,577,037,423,550,359,508,331,473,449,476,642,936,337,179,043,769,007,913,615,703,349,807,514,592,681,850,212,231,551,651,821,440,533,765,321,038,456,075,313,118,026,297,025,118,680,636,932,950,015,680,523,401,513,470,303,711,554,718,281,149,026,366,993,610,825,229,707,621,337,916,632,916,749,830,049,108,356,891,156,449,752,427,531,983,516,367,272,720,221,196,233,991,013,815,127,374,233,115,747,255,155,374,534,577,117,670,817,107,065,453,586,017,765,769,363,297,089,354,060,268,688,463,103,315,479,838,400,846,545,710,640,106,120,528,304,575,977,454,209,224,550,448,032,741,802,917,404,519,573,059,405,934,552,447,270,593,074,717,438,535,935,758,884,559,298,295,852,334,426,811,736,204,641,417,934,132,803,599,218,564,427,553,123,574,099,065,748,452,378,067,442,253,362,761,127,584,449,836,879,126,117,137,335,654,519,271,200,477,736,234,820,340,081,727,373,372,707,210,574,406,083,434,811,652,526,091,202,253,100,804,105,291,597,635,756,325,561,598,951,312,754,758,504,453,136,088,049,102,888,322,503,881,635,037,622,564,088,115,930,669,559,081,579,796,508,911,216,157,515,625,793,989,995,538,113,759,915,986,829,089,587,870,487,304,037,445,098,693,855,188,476,424,073,799,129,089,825,485,051,253,056,734,415,642,001,043,671,997,822,101,594,969,255,812,358,546,887,414,710,232,232,670,379,316,201,527,296,393,157,291,774,105,120,742,571,634,247,290,585,435,156,358,686,644,068,961,607,827,103,093,520,500,817,814,548,957,243,668,180,280,544,447,751,920,571,746,931,694,333,559,870,788,223,691,106,464,353,299,169,193,828,234,306,904,712,504,911,674,536,012,987,638,017,258,863,212,629,666,533,564,012,889,709,761,386,193,745,084,390,180,179,111,900,401,461,694,404,412,830,937,628,432,393,175,186,978,047,221,976,513,067,004,830,808,096,503,038,399,094,774,562,830,267,605,904,240,801,418,515,152,607,822,753,072,069,851,143,205,773,109,205,750,958,793,906,728,559,329,646,364,982,989,656,704,961,513,335,091,412,633,376,021,565,681,446,324,575,907,375,544,047,830,007,813,807,107,375,341,249,751,480,934,678,014,833,505,024,550,694,783,446,715,626,385,662,268,752,070,174,388,550,539,573,405,951,653,891,820,361,069,701,891,476,883,089,352,826,246,517,015,175,829,781,366,990,745,008,765,740,504,979,201,333,968,382,377,512,761,636,999,673,069,798,037,631,550,442,928,584,225,187,518,866,943,010,881,931,106,680,034,890,046,457,513,868,754,809,653,714,479,002,932,704,155,537,109,991,291,192,501,011,855,778,762,365,494,219,778,667,687,443,836,222,950,376,395,483,615,251,417,593,410,377,375,211,842,747,700,907,034,598,597,466,691,654,876,055,403,637,720,766,436,143,809,510,168,716,948,283,693,106,753,279,237,230,512,347,887,484,010,976,338,224,352,384,998,046,982,387,743,010,314,096,376,079,048,542,402,163,094,897,246,835,464,640,622,666,869,250,147,111,943,403,315,059,150,792,926,860,029,263,237,894,565,680,261,857,918,210,582,980,017,077,122,648,927,377,056,894,220,719,487,153,606,236,917,057,791,164,428,852,614,716,682,266,044,603,072,138,409,096,138,574,506,718,032,673,695,332,582,461,504,251,703,680,899,859,260,292,877,422,168,303,544,050,717,230,302,644,347,279,411,622,849,183,268,849,672,275,255,931,994,327,084,878,465,338,542,088,636,448,502,482,468,453,003,307,234,181,633,476,464,213,147,469,676,237,305,513,354,151,744,711,937,576,876,502,397,358,719,267,161,186,957,345,827,168,725,610,772,715,922,654,971,988,261,435,610,951,324,310,973,752,229,585,385,500,401,600,049,219,560,296,989,611,129,549,374,641,851,243,085,052,973,404,777,845,954,996,086,008,271,972,735,943,555,025,228,970,696,421,456,933,111,976,104,052,394,023,891,227,249,104,173,076,049,694,477,390,690,045,595,970,848,368,664,033,360,026,820,273,820,102,504,724,128,075,297,475,979,461,827,320,776,469,104,148,669,424,220,674,141,885,050,376,827,496,304,314,046,650,050,127,399,762,274,325,645,055,969,039,067,213,413,453,753,796,900,121,070,421,719,612,935,928,672,891,399,645,544,983,742,368,638,366,311,323,651,958,618,369,764,233,843,848,987,676,228,742,902,874,931,365,479,888,535,191,861,250,999,297,181,056,662,842,598,404,659,943,894,888,796,839,602,200,224,746,541,227,348,906,908,470,759,886,844,749,222,944,976,302,436,410,930,418,301,114,245,970,442,993,306,598,207,483,140,773,180,014,807,963,747,537,683,463,095,313,017,305,444,764,162,588,139,574,562,081,800,593,538,285,668,076,863,178,668,027,736,686,528,355,303,578,077,975,594,616,627,575,743,378,506,184,077,524,293,298,956,977,595,980,622,572,567,593,816,727,040,766,773,965,468,899,432,824,095,156,501,075,538,510,094,488,353,643,852,765,043,659,847,452,316,362,749,487,896,479,133,217,527,780,142,521,196,867,442,908,012,405,739,304,629,146,635,576,116,823,981,187,172,494,299,139,978,759,704,896,489,591,038,452,633,652,721,738,824,184,672,726,506,462,147,629,723,177,621,329,047,987,380,985,251,292,996,049,730,105,195,853,110,764,904,958,522,433,964,361,926,408,614,679,597,931,599,879,041,399,194,980,118,039,711,893,157,223,579,620,201,956,143,176,455,261,167,609,119,012,554,315,666,860,690,825,759,893,903,919,125,176,470,914,520,719,496,897,019,114,784,805,664,867,067,504,499,416,971,158,736,346,313,231,947,264,750,727,508,684,849,088,883,299,054,502,544,348,550,448,692,716,691,234,673,694,146,040,761,010,581,119,625,590,504,833,443,654,543,552,788,747,411,273,956,294,381,082,060,196,172,122,608,202,414,657,607,751,116,661,683,233,285,483,789,789,050,069,873,290,427,692,644,114,070,958,951,415,884,175,489,501,571,668,986,184,744,845,600,762,812,720,106,217,321,164,171,695,852,339,631,606,157,784,640,039,711,149,174,890,976,652,483,066,507,260,300,472,974,956,859,892,828,434,692,933,015,659,227,169,646,588,938,110,649,348,186,916,319,432,251,476,206,426,964,955,229,770,888,557,527,486,215,292,841,584,838,574,267,224,898,961,158,837,856,431,966,675,543,837,816,090,517,400,685,529,730,741,527,382,551,649,129,987,284,270,220,151,027,976,229,106,101,919,671,882,162,577,028,712,110,291,199,178,800,236,120,446,403,710,594,195,642,838,068,833,549,113,513,644,780,774,221,196,163,742,944,459,050,208,658,912,746,923,817,064,165,742,282,876,241,148,178,421,491,033,617,268,189,271,468,509,120,532,530,143,634,368,575,504,706,817,293,985,673,838,215,677,036,674,034,022,257,408,497,400,919,565,261,458,757,614,946,683,849,541,031,030,881,029,699,916,678,099,544,729,207,675,469,532,786,133,498,390,984,878,705,999,642,863,257,066,434,202,016,116,590,766,268,436,998,587,370,957,649,760,593,225,527,799,998,052,720,715,676,743,164,876,328,601,446,234,024,307,757,671,856,697,255,819,719,634,949,396,320,745,716,350,182,220,303,217,535,136,721,640,580,844,473,737,102,231,912,315,175,327,377,716,617,050,855,190,695,771,558,578,344,196,637,209,186,864,687,318,023,837,911,632,606,061,292,546,042,634,590,588,824,119,387,800,674,184,365,468,274,198,851,624,244,254,292,471,062,864,174,262,299,962,845,880,287,011,086,449,996,585,132,611,090,017,511,179,756,968,426,794,148,073,432,881,580,078,849,464,099,246,059,519,302,363,161,750,871,632,378,036,113,454,554,643,168,236,430,159,760,826,167,152,820,741,065,668,599,119,445,379,748,075,308,666,102,579,844,705,665,358,040,012,599,506,836,978,608,672,467,528,255,099,651,158,613,326,306,728,434,324,466,646,392,890,398,558,074,666,018,187,998,878,325,692,444,818,841,284,023,228,316,524,971,544,295,990,219,159,683,678,166,930,896,154,538,804,748,964,736,253,362,192,293,663,249,635,064,328,682,600,826,861,774,959,363,604,691,305,336,952,479,907,772,651,493,413,068,744,907,385,876,579,920,750,899,398,755,248,458,878,110,910,290,289,112,211,534,755,400,260,634,784,158,066,098,405,858,561,564,534,913,274,664,395,456,386,217,592,890,669,172,854,161,426,631,872,844,213,310,403,959,475,801,785,284,092,449,037,532,282,394,650,566,216,870,339,100,093,456,502,136,088,943,369,930,771,359,274,827,218,896,396,977,937,078,905,957,459,776,931,661,284,554,751,011,410,377,085,805,806,011,598,770,272,157,259,870,562,207,823,906,931,369,495,666,599,808,489,273,389,998,308,456,940,647,786,450,128,996,852,557,381,387,223,943,776,794,722,763,527,640,377,160,013,796,997,937,494,356,668,631,908,510,792,629,078,082,577,610,236,160,403,852,685,205,757,211,280,026,260,285,721,831,833,220,755,862,130,147,652,739,766,696,298,108,769,504,917,348,996,093,788,958,705,832,384,419,111,112,932,627,892,234,340,073,846,622,770,293,183,352,660,791,040,519,770,054,243,276,124,554,242,878,330,471,377,963,660,956,137,431,620,605,670,549,867,428,731,130,963,717,576,564,825,278,056,963,533,094,830,606,522,673,669,424,163,481,299,022,638,051,515,822,821,290,694,337,592,351,326,112,754,645,993,201,817,159,709,651,884,309,697,262,475,772,667,009,237,084,475,635,089,405,014,130,822,569,085,525,941,476,932,959,595,870,566,984,838,310,419,776,992,653,208,432,822,043,779,044,493,126,180,998,074,169,750,506,052,698,880,885,777,501,980,098,743,653,853,262,899,019,016,562,917,513,546,123,922,352,614,855,664,045,420,246,768,880,158,584,156,753,923,573,246,715,676,063,332,271,716,640,916,080,116,047,105,202,735,438,490,453,608,681,463,730,161,231,922,452,861,129,798,940,157,228,149,329,018,826,961,312,429,299,311,081,324,975,423,607,454,514,687,939,694,324,408,018,449,047,874,342,447,550,062,733,134,206,990,060,432,827,191,672,649,279,157,395,472,720,348,159,136,482,069,712,070,338,488,539,930,557,293,917,129,404,137,867,763,238,567,195,221,043,783,649,412,060,141,511,398,103,500,704,073,362,323,351,414,875,301,163,255,680,051,540,539,968,953,608,526,914,657,058,442,267,654,991,672,083,770,526,835,462,147,761,134,286,536,042,300,084,297,858,880,229,806,425,663,151,584,313,631,109,880,078,246,229,655,738,486,024,881,935,916,788,437,673,687,614,754,197,666,539,630,147,132,250,084,719,282,313,121,836,877,710,928,947,344,053,722,896,264,660,453,146,007,083,952,038,392,967,426,181,590,023,087,251,558,496,371,287,571,848,371,407,461,517,272,963,209,545,791,091,560,446,935,550,317,145,626,872,327,018,769,723,534,449,647,723,822,525,136,386,186,447,015,424,055,804,492,836,700,140,620,380,298,949,445,674,089,205,882,592,169,187,611,054,658,736,017,295,163,058,158.001672765829021696
$ 6729270395722030288409876509834969979972077428412585996033075984000338800446562994236849150703120282697805474236531550751587230317205202877764550760435131065883320264987996001593264749715265677123056587797101819662846851163482049728936223810112744430347235304805347160556096207893802779654538502956932718748431984207210196195493203517821184903524825572528983982652183685980535693620028719642370948453221671333994688324767854273875734372240579787432415534035287963051121176137500966012265532515310282555465729372638488500641380599318601127013289037770867137036216698234378328618075712967484651584296696557886752200314997002295631577978575292823337782276655327001378562884633882081677098369590539864943309178875749216590386708500081778223912883058235843334288196629987383576049552939416783133673576368040790597381057800348593742844350160544487624054389545195925354604348852518058443629063680788783219546688037720392514539412106227216186142407575259452057928203128950727554031856457088884809238526881786705450333153529451915914465234954156815797728014237945612303424864705166188487494217001096682382711191143432779403951191364720954010563562722533383508338040246729419121583672443834416245660622329376195947220781434029178066494248867577343350668653368230700207164484168824270115540111563305252018206329584830406487944503153985285085004466940648032272775949308578484714934194477540782820189550884799592431950475814469201597153533500982755160407937272380139332489561116228189302798477986095217349258823695245653363012340999687111170672372824968938736032946242168520653634320889847032387275295631064319723262217287958115817166589949134327195086252831532900385741535308426725348532393254613311043072354352342943564867501544362365398105416958526824087560476775218473668973781043774691572416627874861681306170236730915452211576733376211348042392244088144501864597313329916649702354237081171531979912553557772407739454744155627727881769667729404205544562353541043674614811211467782075009716823638590022892482294248073995889925253753240699374229751091307661048654444746732806454651879346581058393862214070924402700804990107776395627247525766986861572128458898151128480916795923146618716948673212015725261232095113583284707370740494511824657609896800187878370582972555449228122221510650018157785952156389879523207466312682140732583272059857263045625362745792664473377625385260306620800496873600865441595500655647704667715183038438910898322910019020530734403152230120998922508808720146189807915445160878230641797896283592782488293768765352072937961579015455893314462543522026800490326084024718860300542842200263001974664191382513854710503193511306636513752106848479347114106159201169939576770508045750906523512322994833943173346036832452312519354470997512677499677082830217204768058744598080815423896911761768426801192856786545170897755331850527897784683427022178429524759141066938954444541782857284482595077740010793416060979902504369003341526009385156451200254267337879629224207921610605991116190624747624924901575523814549384124141818189476177408287089820537875871278743993082213345562093674468988140303310046364661947447746560065399503983901991810775657098279722229621333973544246345560715592665310041897446406801896286154925251831582955841474877454643562069248228509940869189268068219738798429900437915522461667433844771938323946141336550117508129103107908389230278893879972464058113306793522502060178899161711656615160477779571340624547520604170115270764137822169466002395986657516254841162085359873671043350518555924339276430490404223744172365373137454378918359824733379795631565335353546197998998993494691581435799286040367381401866005517337359872019146640426776085852250749684783377840129515475074894785415911381755228421738599080495377134990965183640601323894178270163822277735712500549984609172584714774885300538570951628902215381702445575289606949794013882668874172986615458683708309788703859032292382960110911521728761964180547449367241822785280933288013946041788620642539986523939722326892419834021577387059055707659228001335137569408255804666471579081095025109032986041474895485583245935759194934114869421116157320616314229226723366397364997023172392682121847611235415836713016893887755180077186704042366568182804897273048014107690398685199362817876410129517588967909457687918305768668382415691453262926415153616885953103107708207635253705733153619717160587303840334731605011609140739431300647090677891147351117670573681947879124533857695699570959278832591459639844499950552929634717430272420897313140364518755158740196213589209057442407341156424574739425287682395981456493086466048858769374267245429990356249982307784721497532242848542141524888782794176731757989340705092230732878825814348212209268756537072757150564773351771292313396245264082892052715409482352680071396776037758061793537462178788943290244644848102078071258164960507226364709769113669526616540280139684413899662235269777004329501398165155899749270602697034607831938582943738163422498578884504370252630763628013013830793815788259529370724828465463697687820823903976952080110047675854379569376710430015932155763049576191750583100021256084596499597650319209444990099059223614508795074020848124499262373876021367559131181098903798436566551578354446330401461592175109207903370642351910693276687126246294083039231754383224563813140736593624204077842676867542665304472910736652445657915375569364516137289289315698986181650897249401586053733294311509343735691995479333283507037682016423499481244948476385002498340520800115213298505586507674441988946037567772289667591271172598747692149414061942619425237635252188831718875282007703658848115758668937553083487806361387357204666573627842385860794273188646694131905868336145158448965133992884634550561131863807173386944788311324522502521859209780579620220363500448210846687973409875613697979464311678806717824140236798705303919062070974339376104617280407162848241899344182881204720995149727767592418970294300910727943071503986819511531354698355891795013802751327335408656369300293934586894976325186094088714742036531466417394565481471989962793691842957512646465199659598497937347709906187556486334461077445667325950517538387543928317026000144634013751549656842794540653970460206519204592052151969250394615876601184548874512836865545691773388988763953468023061007731699444961859579078996899003542769479831218037542126443284778518878025769213491632847113226388915200576328581454824441055916182777378338694528231756942080134578079408715915545813664437672889323965705062650811583869610971068556015084402792152771515610681503501006940773954610921872764188982908565881954415972384766149205381340792817533909498258654698614991757744782917357476213477284027557958521309787133622450946048790930791364734687969122021253614256059713032832298622160432311516430315637607940474278922946028711909893170074801139045290650455500702254471330834809310849030160805127126113227795733839501261347992699259985841860090275244905971715200053617094554444642971597575169854428660943525947770109605788674162894131750150408250963882351009455054078256594178436777164450354553174165498160221282632217549576631420968464273671484268604397403723098597117243610195525320884860081041713799518059694745995047627047589041192178847889190749090027592024954385102257797445712560799353288001308877426258339455676578903993113766716008494558788110553287338166651695339658957054238297715118664931617958838393443340591651459900825007580269262884151321707512568218768113130837388992205663849407339609939408369954720113486528536294533442331417808267210716802971880424587826025942133743852672255253976989010323296833611153145858497577013815596040938002837489831235985592950811615123998564882302467085067091719724781163379743240803070761118243139714311981159685854856529718198995725519284651298670605960763540885782588925467440983831962790113283043792075600207131696392885642214073196749622967723786902541711566175511907617984918263435228922017093234043644793413506708624975618150904259234974287758502243603841179821610087325586546478231760873988006638889838935546432378611809054905136496989953241664614433729907313589700272219491409026181482049528418593392289868996707185546625527681145810809237104659644443420109650516531615756734087798683235350770405407712894679517537847774533255093302252686290367431213666771756873050253660005086141654931427089048637940422450653015897463982391594837289245053539278427897687180971466407103263606159475341103854430512499393126483953575291789494338432560984779131832287476425214283986016570741066262897684723673662411971414583642582052292782699389588247262804331862056622117216787092608122819202530630102178169300579964542098913645004486698997907177208676761850685952895531605180290919141581654683296461078183229169200938347500481908375135805097781696612528535098055734789009416425086983490445211099107712958042717883866721207795142852813154976077148561576150321680822001295254095583336939557898939056547483842313471969301215331591654418923774559292883442036951334390086435365429441170771151553991353094494503155122956151162836161948962257627011593328775748298172166414024512349610637142901015898659316648268106417843866494490385164536649132603913069205120366790979413657900527183328586232120622203016374434178359245019501342757348897634711841054846903178247602962764781130295687900154874216903993517349025638920942506843766722352679625223125967654109946290640020605848348906501934665022432568103747466729215253884376348234023258360359411665985677584810921742330491787829479042825483393202921739611949450746448825020618830405896182681660978507781773712442508645435072143713044216332733622059386521638529317389598278154815857577285147147453208355821902222373626500656514298058748609210482399224554411699563663071493714918600973471310045159027412932473698631622009393310228063304219985512.43
