1,219,296,940,006,875,598,135,851,280,490,045,431,448,243,779,855,018,296,798,759,089,836,952,759,669,053,057,760,796,866,718,620,626,383,411,199,450,361,128,960,949,534,301,026,965,452,607,271,745,193,815,393,076,605,970,344,938,342,267,194,822,627,592,154,591,417,446,319,489,389,962,934,610,346,701,319,721,164,774,765,600,442,295,989,036,775,831,919,996,197,798,551,261,121,398,187,191,566,984,795,262,634,828,133,815,201,670,185,206,557,429,743,468,908,976,547,983,301,475,704,066,056,276,673,459,183,578,040,661,614,352,044,696,926,296,686,790,005,454,454,490,763,748,014,552,037,999,849,505,742,915,941,593,114,856,479,791,705,956,540,083,130,239,905,532,552,380,939,374,590,205,560,407,079,369,624,081,427,751,671,223,292,216,169,610,103,108,553,203,488,537,277,050,047,219,659,004,366,134,237,959,547,824,977,566,697,076,776,864,886,849,587,832,278,972,765,108,116,646,450,900,001,540,181,109,980,680,647,655,065,394,536,937,613,785,457,180,657,068,983,879,538,999,739,190,499,755,140,260,148,481,632,274,235,827,413,982,787,597,983,916,529,522,339,171,405,917,871,081,020,463,772,078,159,610,895,539,949,621,112,716,882,235,287,141,009,244,982,930,245,603,508,351,524,202,823,343,173,644,946,876,433,643,104,483,908,929,623,269,259,813,649,007,444,609,436,234,234,201,086,888,836,695,309,539,590,320,755,105,982,403,891,351,697,152,302,643,144,728,042,048,264,573,476,704,448,438,680,929,880,651,263,404,817,570,048,531,783,353,843,068,367,914,324,449,373,856,693,786,829,073,707,988,852,417,089,053,829,496,380,425,569,321,945,677,252,830,987,437,628,167,274,176,299,529,355,642,759,908,184,010,576,777,174,373,438,351,588,722,906,929,577,977,925,418,368,800,736,019,274,168,810,871,679,701,114,511,096,951,046,910,571,303,880,426,223,260,220,998,492,907,401,657,461,700,631,773,506,769,715,776,550,270,567,875,020,962,343,439,781,110,001,096,009,471,034,145,838,326,211,777,404,582,209,619,939,087,000,442,207,008,951,722,676,169,027,591,991,229,426,826,435,691,070,348,988,832,050,727,543,848,066,016,788,934,384,724,342,411,021,080,590,753,534,754,916,517,539,700,746,183,538,783,980,269,695,530,642,908,795,070,463,063,486,818,283,802,925,301,935,190,491,027,769,856,337,865,949,269,057,159,135,541,248,567,537,642,975,145,523,278,136,146,690,100,681,903,239,512,400,134,052,049,872,267,878,251,760,940,887,914,238,859,293,493,667,013,343,895,502,985,785,770,476,683,628,063,342,989,886,447,162,196,839,301,634,022,177,950,717,714,588,842,189,634,145,698,570,909,925,065,229,280,734,992,948,853,133,191,098,653,979,434,449,811,377,996,843,598,245,911,134,004,964,011,509,424,173,972,173,962,247,189,623,881,229,913,760,864,811,000,934,692,583,087,854,400,988,698,698,337,062,549,168,973,612,917,258,985,044,465,082,176,794,287,059,616,264,062,146,928,164,380,138,677,595,903,165,296,709,461,289,410,490,270,400,029,465,269,786,191,727,244,885,064,727,223,821,188,185,375,339,686,973,002,824,921,469,856,746,675,660,164,268,498,754,542,137,151,598,846,281,441,627,028,502,187,936,555,341,485,744,443,498,659,475,709,562,958,559,181,370,251,177,612,254,154,099,795,085,565,346,900,286,829,491,601,340,918,899,320,218,157,408,125,254,865,581,186,870,604,960,236,409,578,009,696,442,713,748,054,920,108,497,323,427,467,829,557,041,406,958,777,212,660,817,513,656,512,898,819,115,485,080,402,647,854,236,333,917,824,261,665,725,791,356,079,017,403,889,527,353,833,035,114,721,719,884,231,026,696,713,519,624,917,566,879,983,925,069,076,146,914,364,430,579,544,892,435,312,223,293,525,555,175,910,337,788,883,153,425,595,702,721,832,201,652,263,876,044,040,741,907,950,494,114,614,842,614,002,681,788,244,612,189,765,345,067,490,607,408,898,344,972,808,070,526,361,457,326,271,648,212,952,659,857,275,983,982,733,181,547,231,064,797,164,711,200,203,166,097,407,337,754,290,730,119,338,343,865,420,909,256,379,127,294,399,822,206,359,285,020,611,385,071,495,649,265,546,653,349,456,276,197,102,266,829,808,848,325,625,334,844,864,886,124,544,002,139,782,002,493,470,336,415,182,621,502,593,123,154,044,756,409,725,116,128,882,463,497,208,619,820,800,747,874,271,491,417,630,501,736,494,669,191,262,256,450,750,437,369,342,258,143,245,161,242,563,602,273,297,155,892,987,585,483,249,180,833,413,278,048,943,751,462,681,540,102,492,611,194,338,823,683,265,414,667,639,182,094,649,028,470,442,934,211,891,915,108,952,168,037,560,579,508,219,762,146,086,521,252,282,603,305,535,440,143,887,503,006,095,809,179,895,088,201,799,912,617,792,580,271,952,986,495,854,182,411,028,649,670,866,947,507,382,802,674,240,912,962,477,877,093,930,196,101,966,136,685,405,715,002,789,584,932,215,163,643,124,594,471,755,916,456,403,233,900,444,939,521,012,945,052,013,908,343,850,058,392,245,832,982,248,386,161,879,062,868,620,370,120,006,803,672,850,601,209,120,018,653,303,264,069,031,337,513,250,303,451,947,067,898,243,862,681,707,651,449,308,837,803,851,881,400,610,718,358,009,834,031,286,507,309,259,629,383,024,236,685,146,687,958,602,165,221,009,284,341,814,410,864,901,410,046,471,988,107,091,564,630,840,812,924,555,265,970,038,255,313,484,314,959,032,501,498,027,602,738,779,354,083,253,131,136,715,213,270,077,066,239,661,751,966,183,400,242,471,174,829,357,405,724,283,153,155,479,742,125,123,469,864,824,955,214,382,256,405,028,036,866,269,038,414,730,703,878,423,945,990,823,723,777,983,672,044,535,404,140,950,083,473,030,428,529,494,247,705,300,533,368,565,540,611,875,801,014,260,887,954,628,137,493,393,980,973,320,666,813,186,340,870,290,069,821,795,876,073,761,955,102,226,768,593,626,509,334,071,253,040,757,071,016,282,386,872,403,140,867,657,957,754,939,600,947,203,557,612,544,024,838,480,744,611,017,541,607,051,286,509,607,266,234,072,422,465,657,372,006,074,230,432,458,404,484,788,594,588,037,575,742,653,544,034,419,221,280,259,700,148,344,016,894,556,112,498,474,627,232,528,449,823,931,604,560,603,342,029,485,331,664,203,999,276,365,352,560,080,570,248,000,602,428,323,076,453,042,642,032,410,117,991,125,983,892,698,376,467,525,848,387,618,962,881,790,066,945,648,038,713,234,220,619,478,228,340,761,057,745,800,132,476,418,474,491,339,121,364,023,039,566,489,807,103,409,517,135,008,976,644,838,707,758,046,250,320,850,674,599,087,393,443,835,288,467,599,542,695,633,123,065,900,205,500,374,819,196,082,113,794,036,317,506,458,671,051,286,175,063,151,348,313,826,874,861,345,335,026,430,710,314,230,660,446,357,385,665,514,280,447,423,197,618,365,194,723,540,036,200,437,693,745,310,133,681,517,017,443,502,890,567,916,454,663,724,696,578,962,021,173,742,943,998,435,175,209,289,038,786,485,179,012,391,520,560,927,153,421,040,396,707,359,702,863,485,510,379,495,747,739,224,745,690,606,781,400,341,471,069,295,784,397,146,389,286,271,603,120,937,528,963,541,969,331,151,272,257,023,305,784,916,830,991,547,309,730,035,473,245,805,940,340,126,177,830,252,900,941,537,366,270,947,291,076,905,034,913,551,104,555,206,361,501,346,267,046,976,006,621,149,037,871,257,633,145,448,044,294,763,657,828,141,085,374,698,475,827,886,214,378,274,666,831,029,935,478,163,405,032,799,734,261,635,657,470,728,220,010,369,601,290,656,219,826,701,704,887,038,839,871,114,443,648,877,410,497,473,338,433,734,252,123,846,536,163,447,514,941,737,299,294,637,583,164,868,678,801,982,771,035,617,968,992,681,538,957,446,520,657,928,600,375,875,654,296,518,126,725,685,433,465,817,694,971,787,127,249,974,937,716,816,917,299,701,340,067,309,410,696,694,926,048,846,887,916,645,150,459,524,194,754,307,770,811,424,239,290,449,402,865,887,175,265,519,672,412,058,712,157,007,859,207,970,629,469,015,847,742,864,657,326,956,920,530,295,123,271,255,667,533,929,445,951,027,508,124,956,502,757,147,475,624,833,024,073,935,514,394,838,720,516,797,340,255,417,744,461,553,325,969,252,746,239,255,162,719,995,107,603,110,937,923,994,352,750,386,819,540,358,232,058,649,826,776,181,285,651,541,006,155,467,738,882,738,520,799,096,095,635,628,021,625,813,957,065,104,707,991,222,141,979,892,593,570,822,859,130,321,588,869,801,558,318,320,484,310,261,192,131,948,506,233,464,293,311,293,603,931,229,558,560,597,538,810,997,859,150,445,602,116,983,533,851,453,455,741,930,384,305,039,080,156,869,594,895,109,376,579,935,560,109,220,467,401,106,575,357,766,728,740,666,674,166,237,845,772,141,432,259,048,993,313,578,927,385,349,531,299,402,392,568,534,608,007,992,115,955,232,709,821,470,758,226,934,593,358,293,721,410,279,322,169,491,440,793,294,669,273,190,528,775,740,495,279,607,620,383,421,783,086,745,881,750,898,337,728,887,361,585,423,820,639,622,370,802,820,087,942,745,667,276,951,765,893,451,759,359,793,172,633,244,077,074,464,515,231,117,731,485,069,546,976,753,561,632,346,428,156,031,271,527,545,972,119,685,757,498,263,671,537,734,090,584,732,930,826,518,093,503,227,469,743,159,550,881,664,190,708,625,103,907,038,093,087,859,590,310,583,093,255,570,574,578,718,332,968,194,748,494,042,124,217,556,421,556,636,695,626,891,261,798,954,305,441,402,049,323,954,581,220,651,512,801,078,436,148,864,026,843,490,980,614,563,956,661,736,066,952,823,202,076,583,010,064,524,594,649,118,400,284,636,210,587,968,776,151,633,008,608,413,670,575,168,720,616,238,947,967,142,901,180,467,644,567,180,373,222,490,849,626,583,019,956,648,801,429,510,482,374,984,038,482,505,954,525,464,846,317,186,193,067,046,834,437,760,087,126,352,265,346,031,229,326,069,092,276,357,264,249,110,178,072,205,608,926,596,074,228,455,215,921,912,815,202,240,735,189,750,190,985,759,186,593,234,548,536,399,953,696,484,011,180,819,232,152,268,496,413,963,969,101,634,652,390,328,211,436,800,462,473,639,634,667,760,865,740,249,490,255,832,254,451,632,227,857,226,649,372,981,344,454,023,058,505,786,884,778,550,076,288,214,438,157,986,426,496,092,006,130,444,825,186,300,905,351,915,010,565,957,735,207,968,675,004,468,217,256,285,182,195,533,410,472,030,852,811,700,296,623,125,110,576,945,376,160,308,131,342,192,905,566,170,118,034,630,701,516,571,760,202,943,415,871,201,192,963,791,910,134,009,022,098,867,807,937,975,223,110,928,429,553,086,906,290,497,253,673,894,157,721,507,687,590,155,155,612,898,506,417,910,273,175,364,018,417,302,372,976,590,867,949,547,839,571,080,166,192,618,352,139,037,486,587,009,257,155,270,480,592,021,656,764,381,319,934,717,489,045,371,750,564,538,130,656,345,256,445,650,851,326,105,561,361,644,437,190,687,281,495,949,803,378,201,818,260,138,755,756,104,584,696,209,045,355,952,855,433,079,453,752,326,485,852,051,206,680,107,944,873,586,868,557,383,769,624,003,743,236,415,521,974,523,755,751,736,065,759,776,445,175,600,747,773,964,071,547,746,400,580,102,660,067,668,494,637,145,611,893,765,833,508,231,420,003,224,002,161,593,570,473,573,586,697,767,042,965,015,255,853,318,088,778,660,003,383,159,736,586,069,294,430,300,405,844,173,363,612,945,239,951,497,056,754,489,735,817,179,329,790,382,998,824,682,170,260,743,971,005,994,615,064,733,931,097,329,991,579,838,345,819,439,450,711,401,468,975,998,223,919,527,528,896,171,753,253,435,432,389,975,780,814,507,482,265,407,089,661,622,929,075,178,020,600,699,954,868,688,804,007,024,539,600,752,271,142,942,974,450,279,088,413,932,066,780,819,468,658,207,448,545,288,386,454,615,758,670,400,104,197,170,050,170,668,252,648,340,499,696,029,547,179,385,982,246,058,416,167,737,616,107,784,653,662,182,074,516,199,498,618,560,906,741,231,603,952,118,888,186,684,034,878,556,348,802,079,782,427,678,186,027,674,152,072,486,570,701,027,629,804,729,733,615,864,531,913,112,996,679,294,550,587,913,191,586,477,593,932,672,886,639,733,978,497,040,947,836,068,144,497,482,333,778,110,101,207,569,058,166,938,552,622,654,851,424,778,437,134,666,047,047,868,956,273,872,937,604,994,221,908,189,916,329,592,548,998,888,958,576,074,416,633,798,274,881,163,587,759,469,481,819,179,865,101,917,159,955,353,249,850,830,769,600,320,024,178,211,061,316,753,811,351,858,623,081,682,642,285,177,941,432,003,330,588,355,210,063,489,927,162,237,463,188,038,857,208,287,237,006,250,021,958,505,395,461,837,100,298,605,728,839,049,650,871,476,792,505,838,740,008,873,309,557,041,812,239,644,585,387,820,369,944,692,305,972,812,574,680,385,707,020,495,377,356,814,313,643,867,438,821,011,049,379,286,636,578,790,601,314,819,715,600,250,855,555,537,538,245,640,588,369,070,967,055,099,612,005,733,143,168,301,499,559,980,133,405,673,011,894,227,982,985,779,628,016,014,136,729,580,576,802,645,870,058,912,116,301,704,939,605,773,229,214,536,077,355,442,458,626,429,785,661,452,971,984,628,894,912,372,373,301,100,087,912,882,527,749,391,137,399,982,125,956,374,806,583,604,285,756,380,587,961,247,371,181,574,667,656,779,952,511,114,498,990,559,446,035,809,459,181,181,479,912,740,033,120,496,855,676,508,374,577,361,398,840,211,766,440,299,380,330,190,110,244,288,642,540,549,980,920,106,328,065,916,099,926,452,356,933,518,522,004,223,985,564,887,029,650,606,568,641,034,713,277,278,697,327,186,541,918,538,810,234,276,804,996,208,765,165,239,456,638,958,381,987,947,062,592,636,262,417,800,063,943,831,484,833,604,227,944,990,053,944,477,322,355,086,559,237,300,620,022,015,922,235,025,092,108,465,459,682,557,205,129,059,314,764,733,996,187,678,420,117,610,264,877,506,649.858062809818988544
$ 3251230544042033899144570204586584301231483507176553350628823953429185467558280503011510322448599264768668637074576403571073846261631725416667567128583479011244092173963173027583980285436846268663036280477723887664836392425147803650941888678332297733704317713129609920113618077063497993384275112579294032030793300570097376972135268816278213748297840465219762725009059872806839049213994950643305407885191623206673781827654744777680096333282832291216122785210350036191059500414206701675684543844780650493317530014786627916479607812320610595279852904335823529945752719708576542888073528340039942844958265376665936560615980751576629651895910818934867589173447150727769908136826795200350847651099843640133277016574793542281363466722824946524399667285785246185964875629621150347193652264032669206041720648221554568129775319055061363522938875638154771710042259778620419153898951455069277020850417898220625165472024713915772914462663541464059021044587758911679493491516075872237694182253519258446177219336867995067166294877517995257498896397209066474330402654200192338862574106966544293682050257868214612603705589141260209918574772182122408261892525840255995684551420666210364826264150293408661848072671397329672398526666226108348923738487525385359884166005459233656478784694294049462083018360710136164125939654643725275588208345330302093140446606529294478647726774982177860743025402832940330473461767056146266309339189581331024759829586629670775518573890512451564352538264860743912514850912339775534549008313752620250583060120220234113784760649876120108649735506985869926827228432588800053908232983280622560755380737877853426253281362350091795720696961549900165489290732446744434637665491575420497814468020334194717240641035605375116120018871957453779099715756525610760542314023494428763201644802795752175774486811112884235623417677881326959893707702779091439935788808964412529015710868811560827464493419760291399105856503977351353973089950092412396667166903940610502131566147579268148732855751639867571862244868040898499695303433225292907898792380914410031810978381065700008548016274800843999146773667598567231204872042691520041141894468526739369517878350787657870704354678312532341604179143488375053109514159100051929380860935095991287970889038193900306168019165330526484039646344081786966133296159161318653623621556721473183931717937379032264078887988553064848769097532155919305144305688182384364630328795501061837738159132098034974859907116128636048850650718541534974870019967465153641921253291567928908158861743556559129906276883330131941285455366290476752921274420019364632909042189660108086712838155166094916790800913482229262284918282162373291837359698989952472219860221448636625865382956178512253180226239204457630592464306040883398673537511674720674732337816931587323600287002046623930229080221229275194463295829133759888696318888142661521303625166720666632385332933197027277785723571733093523353689865107124674885774304041706174286255628133707643249256879675108110749034355195471413711282789524194295129588058326615341675112791614938533606919090663516793142940712218161192577474819527728013167831241608096158513468952299116525952941993092916812250549520989986612921512227983639341100634872320914272443159627763564539218918177439112418677760312545065826258996045479006044647851684123072876116791171663009202177950751749243568487871017768851029082494278890363946313200910482230103219569675875025520802815015623257315462959665323811494807031822595886549279263858731950068881692914889676930356271509531737194347786810625513099861215324522495663136229205952105829916003248960868672280495828786320073630235739891004856662523084148889529608274701565201237999351342048672547627864443514812470042538036380020843330379329206005797752568326618335048113916255780559437018348844963186627087212930408332422798569830260261898248352406744596665718743115104914966588477865591751150209886661520862610379512304196119205341929139136750649390489677753009811647799971945057063531634162291274116147993106485021081728502518871245026184061053939671971849548315574145566415138687377120688690904863337279076475639226721347715946248447755292801556468526603475076767866886662736644183791795634702938296078844145952186186042011651865015332465548542875169775082473329104722335699110106402782993793124960726929436642378374578565304627748308290567658480355660310261402874548588072062365669866533189381360068812324131305643045350710625828914273336844995054418978230455465030291509825054344886554392467495813245760283793924148274524719164389582812907814585943242477181235288287527593557729280548241046933940354419258841779982531180287817389062671667392605657585647145242341984558679255919995838220275858551050433465648705910992052860846054676848975380039535238389250590558408351936832660522175361013567763715047572744818037272034983879566839738584837568289275145652938258740538968628219146292504560866732603167680095889409127111454176010368768584756947798537908223872458529542658004035819766778327968671104283556277720071886615009134280697238632095842619632441579192494324413141987671449451058923065330812289796669519045805331060424823873857163214821685225475707233559128462032273170393086488057917414528199691200134719622651595896837936123070025308470357803192310989311107413149408957256318864884671836069307221071244095267206361661064816561856335751260973974770585541804081287444231091362979081582389600102929613909304081683086707902627846059374501354917519184669460382646851335180188239571641458046820002260150155912275286832178359062050615069009825978885236781714541331903277761184336137372086019497050515618883601179284543355702451756530271122037743891960571694323612034781351663052071421613469693998360089818601246490679157199551601132884370216435059612204522053220506942365814414290045118070471190322300021932675663564445902745331278842149611315713112812680703707458719611464450081222727931846487879061413350618667596663026838956312842344187433989315158603530197519287106407130008347629515813879212074812290835893355794817064205320182775144764775154936769319323801758782935052426804283827875302543146618601263051873423929795692417318265121521324462234492645950992522171067482550995545391545421252436685537728071244982909092237152895267250284213745689544394171541605865187832434617600552833349226848732669911586065553103510385667147371991307167169901102774801571409268786514842120819942426281156654488063447288538924955414416312271691693743546432431838016400581143941731141773760541428946520495893872759560020132391902447070667943614973846888484094893364745408338915841345291448768365053513852782837247357750096286756928100062961526953329237984732473113126024999604053287511924901095244901515826013995882245286554597870793704414344898370718739174194600831010424378642669799765568235031804058574974647472638957557345495377610342424965395421807876328847771998564336709194903161205365217116233557910076652177061370346141599754470226648032017501584865872804619935589785316118441933149284990565654682553355337718092659029089299857429768351514171986957568287924196731962704158324590910588524880203863329803126171420109452654706000711565612705938515490806666943319066214180193742913996854032773870108498091561671416758530798468064349510846167979662303361836412504247966046128444972633577972971531024835183859669876872904133573364463710064111305166264344088624918039000744264033013571457653470093018416344318318862086942091290157510179739360402183023791733859787063596976182770416072710435119131855185807487115430939316854812673013430369681499780943453967283159817489206279766465003421462085739270224181415913176313893132796537346714027500026419641884556867419044435382130425737274552640461202717726833574108826486323113223806056819365163602782100282468972835504057564131405868929103294832220660051318199284010319054649697374529035502457612265666072668884278014977645471587967601766044019776148835567027484989540732942414304006741973013119857528032430079527063903486858961004581074738049334782070685561560842673618945650263217166956189627640922973712967969273214619174356054138067543178939113057153860907082289915959318860238946008034220316978258301980567269669674969736814629739180589418359045703331864213004080833901709868268444893936470791240050548226354366281715923377492957948911742681054664793857467517791848362398217401630222265634362380969496407340998926519847339340715942298656822559179208134148847949658097416845754323034038764248314235620108187498170287799651832577139183817660272094648937166889860998288484641435767070716847805058162507845673568975901115041199783501799062640202233958154708192363105211843135638470568508390604739250255760089521080156468736531733429393724540810722936895444027264917554981166826991740671540423762941648440053017676502192543716134426170286793957139688580575080333129040596187623071087205680051132949195527152237969895101130077424490681484181151675523783398008511628068467370244646669801146467515697380547749627092584310208381979879194370399606423098299722178736411692705047208846827070184518566584308094974790794617034060345668793183299549006348598879728270789847085114351826938678458260171832893353075885665393941370827035400691762417470390792297263853631522384237489209560185218421732269674636582990268328733369432483482544654641850176826894239568912937813659924070528585028971976920962054901294822492213148160801801940514568149594791196646334850727692637285760186632037650781190599177302980593326242081823948362278795110634728955189376448221260536175290729621908533504003602455781040493878331480484273924408606799570840224544099762066760763902990878051813193498057859619398643014939389341328676373785026499276398725639930563560945985666332632999651793857209816455069650605956563688443266670903799708494305985227560172554195712042544976874283963314586278655864268.81
