1,305,593,874,233,298,670,956,983,489,220,554,695,136,171,363,854,858,651,601,807,774,299,981,823,970,021,537,828,153,143,982,575,789,827,093,231,634,712,942,835,265,925,200,409,532,483,005,463,034,168,399,865,402,738,706,631,466,361,367,901,159,425,418,022,132,834,736,747,465,690,901,286,331,382,844,851,573,989,648,333,001,410,789,484,045,701,823,221,722,236,404,097,980,652,995,285,070,678,183,874,151,302,870,574,572,471,397,398,050,665,148,813,240,680,659,764,892,149,733,196,688,788,165,152,788,546,821,841,746,474,097,753,819,200,253,067,003,282,545,224,478,574,983,099,966,568,387,894,256,981,859,624,988,376,051,347,167,137,977,739,621,356,662,084,623,919,422,242,860,250,306,657,691,709,568,785,906,363,524,320,732,959,027,620,047,593,996,390,374,071,443,402,545,182,586,789,960,405,133,836,976,621,312,050,823,341,467,241,102,831,385,965,012,066,107,915,233,451,681,013,603,623,423,799,631,523,969,245,353,855,843,440,296,630,072,708,479,363,856,015,554,856,473,125,548,086,895,492,002,665,798,371,496,329,919,246,611,304,916,110,413,412,218,257,156,340,798,735,473,097,849,783,428,301,455,206,197,981,825,053,711,685,662,726,978,571,311,647,306,942,535,479,086,235,915,307,595,295,332,472,547,303,914,860,949,986,786,784,643,362,373,115,222,642,087,428,412,597,648,749,654,881,612,912,291,201,014,092,025,885,001,728,860,360,717,488,624,935,512,403,824,442,454,837,718,081,234,269,195,129,157,771,820,804,429,494,735,949,570,029,565,568,595,829,706,654,981,655,276,260,498,064,013,849,444,954,321,220,654,117,916,472,327,600,800,018,513,522,305,514,055,547,372,190,978,020,792,783,258,104,708,451,660,576,729,762,652,928,157,255,531,389,539,375,866,609,448,041,232,483,100,358,668,018,414,184,753,837,778,798,761,103,281,831,016,163,315,691,745,703,604,342,884,714,859,969,449,745,480,633,425,293,322,382,918,313,282,429,307,025,819,043,256,583,606,388,525,853,309,015,318,773,109,680,206,288,018,815,494,725,749,439,179,813,237,211,246,745,342,282,711,862,584,114,252,316,767,705,581,043,471,989,034,394,666,973,649,298,385,443,946,463,585,606,141,422,852,167,698,826,266,569,105,182,781,480,312,211,190,390,353,541,519,656,616,061,836,820,759,865,585,282,677,881,765,602,974,317,725,695,880,496,091,201,023,369,618,088,886,959,118,897,401,063,865,604,118,331,303,162,557,545,603,268,674,234,555,731,847,254,339,730,570,688,396,807,078,697,633,314,051,886,248,584,273,002,236,412,271,766,944,886,964,324,778,109,792,266,471,623,567,443,081,965,906,710,718,722,729,677,556,032,283,655,788,468,156,029,306,626,011,894,486,196,212,061,882,116,565,531,044,605,482,380,235,405,489,535,279,579,292,495,330,610,904,600,411,384,481,187,752,146,040,187,678,233,955,420,154,085,496,017,873,996,461,169,341,746,348,954,027,940,169,262,638,116,492,186,740,575,221,017,584,410,578,125,868,340,548,427,828,485,768,059,973,806,755,524,384,152,535,642,799,401,427,704,618,137,131,396,592,736,233,115,494,494,358,984,673,256,512,310,113,955,435,434,651,965,715,665,690,536,046,180,880,547,827,874,198,085,554,217,282,585,578,329,090,714,492,611,250,405,357,247,006,527,799,238,988,933,171,627,898,816,633,766,321,616,796,125,969,031,160,491,969,156,678,188,378,781,546,018,326,840,170,180,839,884,449,454,177,964,013,017,670,034,235,907,315,399,298,644,532,453,446,321,143,882,389,972,784,457,869,081,658,286,369,820,692,491,020,063,842,457,171,777,515,089,388,671,707,127,846,490,720,874,852,593,304,093,131,700,301,789,003,586,310,168,140,392,969,737,452,387,205,015,018,120,718,893,913,617,965,918,246,086,927,968,322,939,906,796,208,533,218,005,854,935,448,462,069,640,167,011,468,255,335,125,776,457,421,394,525,525,803,486,064,202,441,828,979,192,031,814,532,015,406,138,040,532,268,294,010,066,684,172,137,693,364,222,256,347,087,954,156,235,908,214,777,527,896,334,167,396,340,307,373,171,594,815,901,558,074,797,518,433,142,419,013,217,752,441,173,498,329,925,756,483,318,300,367,661,035,332,486,232,397,552,417,144,924,372,881,505,734,773,818,579,775,523,627,383,922,792,916,652,175,349,365,045,625,018,831,666,749,469,415,659,609,334,857,846,039,369,474,706,923,628,159,316,893,077,884,901,176,361,487,821,149,319,398,627,734,703,294,667,904,502,802,455,003,337,146,413,443,026,100,838,874,774,462,037,500,367,093,072,243,877,998,445,842,739,346,362,350,959,348,570,278,665,200,609,425,308,540,900,331,101,473,510,119,311,132,316,770,746,263,395,773,678,172,725,320,496,860,233,500,253,765,095,284,865,294,791,790,046,245,167,797,375,609,138,295,200,181,046,397,586,490,786,834,701,234,683,439,761,346,510,690,714,896,982,704,212,006,092,231,952,141,507,711,950,020,661,300,616,985,967,439,527,876,299,666,784,778,621,585,355,447,969,620,339,180,553,935,533,401,332,742,983,217,300,366,348,104,757,509,543,758,835,480,732,365,106,823,467,641,205,082,951,769,670,526,132,434,890,466,939,327,812,483,095,210,552,499,336,085,783,076,403,103,593,623,103,707,180,696,576,410,792,366,483,614,625,699,555,500,514,895,152,704,229,744,780,911,000,302,601,301,911,045,154,845,049,971,989,157,997,992,367,435,556,722,562,432,762,026,693,248,988,692,077,831,736,198,679,661,796,201,587,543,905,187,291,035,794,207,326,633,647,311,246,499,418,708,618,834,795,133,594,266,885,396,235,318,632,620,532,682,449,351,051,776,330,316,308,689,770,576,114,149,943,267,230,060,170,327,074,435,060,320,141,340,492,066,127,012,469,728,799,547,392,553,046,909,569,401,333,046,469,066,632,108,094,780,204,738,594,147,845,942,969,890,520,678,475,352,669,925,412,801,968,805,003,841,861,540,447,596,245,117,608,959,591,329,997,151,236,965,901,932,130,098,047,170,351,675,806,219,548,366,257,609,616,168,913,454,261,291,313,172,568,966,270,601,400,518,081,955,627,432,128,447,421,200,658,270,430,259,131,517,785,912,140,535,844,351,934,055,944,013,263,140,637,003,662,165,278,643,168,744,953,371,988,148,086,471,722,225,531,991,849,952,902,681,126,230,508,632,342,822,291,293,117,410,201,402,688,580,050,922,893,894,668,856,442,852,056,913,777,993,342,593,653,235,492,272,091,061,483,353,359,941,588,399,241,031,623,334,921,362,628,742,016,831,676,201,468,089,105,634,813,533,851,239,515,081,705,644,241,569,109,619,655,377,114,657,735,673,103,108,061,963,616,072,689,854,798,798,224,832,749,358,818,482,602,092,005,307,748,046,334,642,855,813,470,948,193,596,598,112,717,476,246,834,972,401,663,709,480,645,341,507,234,800,224,288,670,835,735,983,604,713,494,530,246,256,477,630,510,470,298,277,254,104,538,720,014,130,117,022,585,574,132,981,128,542,939,794,373,205,677,241,798,009,995,801,964,641,305,860,429,879,389,981,065,541,165,052,381,879,312,688,351,298,886,640,837,619,415,261,595,068,244,054,037,082,208,154,493,999,385,727,513,512,564,989,867,499,648,506,620,573,066,694,117,866,124,987,129,768,774,622,280,692,879,278,383,125,042,722,853,688,620,772,011,696,654,364,989,094,515,307,916,827,209,721,881,350,273,712,767,324,839,544,737,114,715,967,241,731,759,934,256,605,626,125,648,506,688,385,447,681,010,882,671,746,410,074,857,090,532,704,805,990,776,330,596,659,435,902,999,436,989,357,208,431,523,222,682,592,435,040,943,345,708,170,159,481,120,742,940,468,263,024,848,651,024,246,000,705,325,796,299,544,613,322,326,420,786,187,827,781,581,890,043,917,866,677,378,105,520,028,543,452,426,051,662,429,713,759,422,648,436,227,290,201,679,474,386,337,217,349,602,481,110,775,471,178,525,789,045,766,785,623,803,180,760,414,305,422,845,221,470,239,592,904,719,469,589,026,914,866,530,993,707,161,740,561,751,665,615,576,786,815,751,058,427,540,571,757,756,396,514,164,157,196,933,360,734,619,273,092,223,123,705,785,070,574,808,694,577,219,908,665,330,243,187,837,811,398,370,183,395,919,613,028,380,907,824,019,619,374,759,254,185,127,705,084,996,237,133,493,648,738,496,082,675,642,905,915,397,267,203,259,870,471,947,943,884,983,043,922,710,221,500,229,312,282,838,236,384,798,039,688,277,851,907,891,659,910,965,968,463,291,378,544,027,963,605,908,176,515,158,568,640,528,423,359,661,101,857,492,220,747,929,087,506,571,376,722,771,482,707,172,277,652,265,634,963,750,850,009,613,098,675,290,442,853,170,286,621,283,827,753,172,303,867,233,021,391,030,194,499,816,146,043,544,232,152,508,674,958,813,700,582,731,688,131,752,147,618,077,798,777,453,341,585,178,968,573,839,255,293,828,611,439,594,643,178,446,009,346,729,759,808,009,591,800,949,924,107,157,124,597,271,976,702,675,467,320,588,145,604,048,178,398,291,983,688,453,997,456,766,893,550,169,551,254,485,816,414,630,457,206,427,075,133,023,755,026,750,209,809,181,607,035,100,329,093,594,784,062,916,761,926,127,936,200,268,685,264,838,899,633,504,735,930,806,478,157,055,061,970,624,915,783,001,508,680,937,338,475,001,901,745,649,976,816,723,546,965,163,129,058,216,137,073,234,299,094,500,783,568,665,745,139,382,636,568,108,160,208,975,027,889,581,437,711,316,693,909,555,045,221,582,487,266,401,040,618,973,023,281,743,833,683,093,273,144,390,044,814,428,914,430,464,293,927,157,781,923,039,743,361,137,767,026,268,963,254,144,703,001,723,690,098,120,801,006,173,997,961,156,271,201,759,761,956,421,118,830,620,116,934,383,836,694,433,300,187,291,371,794,679,880,938,413,025,147,965,544,792,953,269,045,515,711,990,126,217,845,357,996,514,255,369,926,677,849,204,119,867,561,242,706,968,178,908,825,834,195,668,952,413,680,929,302,257,147,072,946,165,156,510,991,365,952,087,389,332,445,113,263,266,845,031,333,750,278,393,824,843,110,917,984,845,622,580,469,292,143,830,030,677,141,108,096,290,286,575,838,408,667,762,266,560,289,011,529,169,751,827,577,923,874,605,903,604,896,428,869,368,621,023,206,469,110,973,377,191,984,309,621,149,115,378,313,133,955,418,743,104,970,229,102,264,554,867,478,462,798,291,105,953,095,493,669,947,534,975,588,604,578,375,186,031,012,585,544,981,820,634,886,838,102,843,525,716,107,740,494,601,577,959,486,785,561,526,304,912,456,629,408,552,028,805,208,085,326,156,894,270,778,894,561,888,467,728,566,045,206,600,043,802,813,812,662,400,941,848,405,907,359,854,643,156,938,525,609,560,234,896,848,373,099,065,177,136,000,667,216,048,769,001,580,510,133,941,104,582,000,084,786,620,007,767,439,722,540,755,305,153,620,615,870,672,479,209,077,943,744,002,792,025,511,834,484,745,979,345,419,222,626,287,835,844,769,537,390,444,136,160,480,470,667,684,552,523,662,881,564,780,499,967,794,124,608,617,474,994,532,286,288,633,331,555,607,225,479,478,132,496,898,896,377,537,019,320,109,594,399,707,438,842,789,531,244,061,178,967,801,610,050,778,886,002,979,728,688,013,366,448,443,523,388,330,201,941,390,302,978,204,689,963,564,825,070,029,397,500,661,015,461,478,618,380,173,071,427,242,768,835,586,268,794,566,167,842,416,183,436,502,197,410,631,527,803,553,690,283,961,230,398,678,626,484,056,063,452,007,483,110,153,974,262,755,398,717,121,661,127,631,392,331,336,359,217,178,749,501,296,491,809,313,228,959,141,572,325,663,755,318,006,192,891,514,432,219,030,167,527,315,369,543,199,084,411,511,589,463,962,685,097,200,294,148,538,134,422,502,323,373,689,158,717,846,412,706,910,882,505,178,401,095,673,915,593,333,261,777,659,463,584,134,313,162,408,891,141,608,881,539,975,369,970,986,371,272,553,477,447,035,894,554,622,410,226,127,434,052,169,795,643,119,910,014,557,918,892,059,806,068,812,571,093,483,767,199,789,910,609,740,596,707,742,091,541,853,277,133,144,162,276,465,487,925,369,815,372,450,635,151,938,785,733,492,797,818,412,584,316,566,152,682,387,279,595,531,414,643,824,407,947,096,794,559,101,886,720,627,012,322,194,687,912,464,408,146,089,748,303,420,320,494,661,370,038,786,236,988,322,917,403,372,213,348,680,334,792,465,174,489,354,416,370,038,460,030,177,146,148,303,319,668,324,628,019,667,578,344,993,339,245,173,823,179,795,188,923,661,105,488,913,644,994,119,102,711,911,214,902,990,685,465,521,833,388,528,322,910,321,604,362,829,625,665,390,741,251,173,806,461,309,448,791,848,239,317,605,441,317,962,422,197,170,132,072,465,955,498,136,063,373,950,353,641,273,252,198,299,020,191,086,229,932,839,240,483,391,962,845,185,118,415,121,122,212,295,373,998,611,796,492,951,920,414,750,421,911,839,482,416,256,176,842,768,622,748,244,591,205,498,867,892,091,614,507,833,670,602,715,843,105,547,651,439,293,780,049,086,446,684,312,576,620,794,439,080,504,771,292,175,200,838,482,892,279,585,622,221,554,527,045,859,537,828,259,841,400,368,606,650,666,094,751,620,622,660,027,108,048,852,840,612,394,866,016,468,022,157,865,704,285,399,981,891,885,919,791,047,392,363,169,759,953,661,326,634,336,710,116,345,150,389,536,861,821,105,689,144,472,868,174,371,781,098,747,102,269,935,962,477,057,230,386,564,504,099,261,081,629,547,764,655,166,155,756,461,523,545,207,059,824,329,589,978,234,498,195,760,988,817,462,503,568,873,072,851,303,230,701,615,346,480,278,593,467,626,638,913,705,494,571,208,084,720,301,801,602,688,094,482,896,078,111,212,907,434,874,165,323,280,496,936,265,925,679,235,056,414,066,789,473,109,512,705,928,591,729,018,399,175,420,023,086,375,811,642,457,031,874,374,725,243,272,229,739,772,480,579,566,270,919,508,833,214,710,850,775,581,461,145,064,868,279,726,633,787,253,289,429,081,692,120,897,042,528,352,349,366,486,207,309,864,556,102,792,432,320,818,873,544,233,943,974.534407856857284608
$ 4582804825249661610206075031651607057300950345500658045513009860413079559410541372233028257768918537143343474474218904655150434685291923356121379220714105982504268536498580029590712179961958699791653664598557931522687503794198559149097924861805989473533604035134444002285460307721126878366339241830133114187257649007618293578136570447857150277626990405871043414510587900302039111478115982542404320446608999345383070139737907404588204363037193455524677552870109343891332985264391422964990367097394814117940555760466322946830507513029179260505220929673349754827066084253345944052764866186142076564311545207885497191339031995647599034901949606259950537305915129918857065847163801666851586523802323279852491626167658906481128686863591234434348952511384706711612801708912655189407533932266454359516476111227724467898004693961180627625418923308550252409949029429054770408986052663297674398789740910330031170144471521046054466701978236785820355416624598027478689076394009765761526406282496068644875864883619887246174614377795496088200962846165709050718133789685496295796329409345565117383771630190048554464472133893423546025562172453233795809921931919990860648790757028840159336243867876612410413661224370035449988503173015612767018409732353036456059733347844512573530072622466605254098031236130576199054139813276769920226540845921526826227419817262421997209260566586047704997293311544088146196183366196044632773401474143221135120125595662582978561781027276218588860234124404090538924198398085342606890105153115401834662035885159374879711580987511374029290132916734805872184314872620244125420033708867126071597489814912324617427133980381685673951183112869330221029711145237840253527883444023673070459404905506365383281956351382197874581390211540395201165721916394774160041015866686863003050479673952777375421619156163724187977657659008699942415808654336068262502562618209258797153596939470058392421067401917304706507775346678706649703024220753268403509558887897047589697810692287315241040513047982038462288169792073585621504193125587312531902305418553041625784196012391308413980875574190703872949973040942669579281011273177768812880082270523978330555085996900366937169159374830369408572611094862731326362124013898695213699177524003821989508233679336033082910925149262594321995374225299963661369011508476165616866828002969878610415418332800105557693625193933656145295274913395978815107923605867588320675333314809701868651741382996505798237963361849905300644243207546331814127880372025947920340933212696263513347890890069840668890186653831532849229006581090116708534300597717081650056604805183352904187438123904660582024108957496229835318936291027456014706793516002172592644555849921908320840814938704630757393698838326847971951057885254757461574588116690629919539573425647272089250908584394536074994375634122029566067818844568640214493534694552717650367660459365520830508251969326651913031364767753215680487745952239759480832265629325523832835165007336775166957538449770051017401525592966041910780304740848649956468624510105283527636927323242303292989449179128958904450236216250359293096374788699118984335841571946670134327176196613283520692662370657595884179484395242185332831105677760040656783724477773832315917132423516450948837416927590010441967983854280947025196459411837319881874735130778910287108903917998010421621107445619332207516094461005535964480270979598099084924249080458721551126552007716590641042518471877096906346076389508140252733407548088202112834053334606656614119793505686731317547099933832168422580390634437759760479516233756719312367004857448386868028458807997289589455371377837985070707148265707459548899950271987692111893810786027009249086821919343833037369615440090346028698414464054799775474420969956132707270565968060484429711541466138366809593580880217802797144564154736267388001779926048795225027024958751060451171579882695618506371319892407668606572966325760887484371530361912629910447834343745013817971814232173663106945335892189066181273906728544776162452997760725009908313836915411654803876700691075420506992617032755729753986774286464790102827120919234460937722128079457782849705039973511224730838517965575774669312456251237003798017103880329900477259183609969758852791650293649947681887694304936855244494118695274955085297887403476166754369376793612229522126741680194098556821039478712128683243696034187981042835242150399005663361132888204318131782800621176867060841463914993306715126502108895432330362449877575882127176221222162989131003714014261933558989135781423431380647246236993145104431439480169497623680067191896662829150892100378485545123825798899504043868712151552606086776818269950860688523735663781014333221811863951621100717408935692404718273571711157758370017992883713176120275254685374678630594549732076384570719591336702013505997251040683810920844305220348157939151465494784355872261686717193330055036498941125813139785852939076520247650827002466319406330042507721360649302737155766911980617299026369670218424403444917371512620513258697128322506033114733684061927382621955033099849545902074222612885566428080311409113258943340426494834282517089065082953710307979723337552159245851207216838596652355897407089962342034159836186910368521691295929847568845561599584995148799658001344151126229279277283386122378782885640780592195555359712585223630404686432000100231650623321924761238658706661270888647477939551841379215979041413598941046935379137205209155982026548454807687260121001753547241966624079925260716027357561945614209687960720117579032720169281278089210953717863068424663286472319156895593675278385127736030462877856327619900771948682534837787034728475358434444018566085517614531242070579896250214608596391994378876646120215297279148250922545231188394046017040290395501866961527706663774690789923592600393571143046478837641466771633599788039556303969806173249761554958146990297434460545604281659695047102851546877183254346181325515557046447070310102296118899498468974916741689089087605694304749604215974677717184057519351419333213271868996863970746233794010174584228457043811102061138663919656202933068858768680437976648339468500711823844052156214824994428178578577794277279069643622444818054422203222740497875751649003579538006665862247664934958346049500793059579294712585105497641481448373215045993338977574058002423509710768630287756640620570198082245122485045865297104521186645848633430030091759471743839359338895560808839357689963897014229544136838312293458517909675046506293360356929459501761084295927281244531978359823370602343566475960798772825712705542218663761104831270499115490040690679324270499451622169272166630675694050712374493058447702880066808125582066638048009429466291436230742317401277892784366127525633003743328318344776281947818889030099050197936746314401503672670929440042101064111596126380815954673702984333718166661313245724739118181810480307737389458116093602048947031424429292865048192630144919694914326657802623968749568257658786444780894710573971881071576720176669962362599870026874489090206083538809459532699911603442959417513117149231218351628748642056384130675550514969060409389373227876256447207781298668462698941557666558105943392544625794054532412407608207028795021126583058156298947931528877025315493797327975002294429866742240329446215414786076470040145493483196067045581603502552292770689789293965972213946760042830364678228726783614074208301361813819094339413849510370924844024159236905027142134777509881714940146042004522961062347849413320336995684495912484672568576960725585803936317384045823386196580348951251866196577109371571302036810592635762421934546706249145107531089865549412079859604526002994786354544583403504609398058369426803994533449344539198985279304581412473678224788817172953821143523828099047718012857706564179347333418221395445924792259069437696012798665662364272554774457586115621760138702484396056941987443269089146577179788438395051537013878169824135685986106746018659191410613838971408387442294541736898771350361503834843029982334451106056997670289967869770186686440295677117537318941142644192999913476840087795687528553296117644271738216346803149485376369595853487176962850418285547754020522294620042951003507535077136024668509100066002372832306706878077441836805282782031260660119765666563713058002605662418550299411165647626289446989709662264514996332077573570829517596884845678602189342970706800892112425541680599539244594166498876923687240736987988212149094196750558634983670560838462164667981713224037266336901049106497113600185645282140479129518454479736330824499506431296696989205513678414794334942186328429103012651040844691072808754115007726886127624276013806576281606076048720656791845016736270842495033402535967687879906010121874592435808874316705844457075860048809060172534167621125934773536297382831941252550206137353627727219826735505510471087040656472893966704404134132780165609027504940728735131992007421752407782554389581246463169410378158628356314466750146670048197929801036995772548310935108787663179458219187750746319048186175807711516754758408650656241850625362845016742590422000729300411041258487917032184810820054506290333066042623534586714708819404388103086583540954727552480988557500376793893778657349324530320855717379226603210386343813432877271402831318207521619222979160899674352401525574327417293555257424873827196649916745587071338411781695779902463355968033606654792604064594320530019997463664338447116949271957122152304656100635765158819602764309133257592581325442276198871878478916839668770483407499526980140866744151842304483098860990111032864750457205298643188658789385308952098314253682643798655890864673152039067444027231222176174880038777214583493621075586490305673715591732513541373449072255369777354610819561629027816468551573996872843453624112764842410868097526549490874520663319547886746867754218612771684875824484414879813.49
