244,483,200,945,440,004,613,196,860,418,555,505,049,409,024,284,408,543,390,223,219,515,013,400,681,339,168,524,742,917,438,044,167,267,029,734,780,918,178,705,365,646,430,956,067,192,198,230,047,149,035,904,098,916,365,304,645,311,080,567,659,427,864,267,778,847,295,761,890,092,256,980,377,352,371,365,744,438,423,957,210,706,124,297,447,733,515,446,344,417,059,001,237,006,697,482,908,042,709,685,990,267,220,396,530,370,338,165,649,279,824,024,006,595,728,497,015,571,576,618,410,665,274,015,499,369,894,246,835,420,013,131,672,543,998,690,566,090,519,571,987,445,185,740,977,745,826,354,739,356,006,310,758,808,592,090,406,037,158,708,194,230,406,736,256,569,566,015,050,471,577,539,247,378,505,940,172,238,673,697,376,872,081,526,748,663,808,744,369,306,963,082,492,407,419,715,471,625,502,550,464,440,912,624,686,501,644,744,981,938,424,647,724,005,650,688,523,606,043,457,548,098,328,047,613,819,820,351,002,109,209,600,230,673,141,057,437,527,757,172,844,251,929,982,453,319,926,972,004,063,195,781,016,297,143,974,572,442,582,468,373,975,809,624,774,571,472,734,415,087,107,076,103,182,829,271,010,098,811,163,176,368,544,316,600,474,115,288,489,145,582,819,515,618,575,677,998,488,662,903,929,500,489,988,436,306,878,231,317,596,861,462,667,068,303,924,729,266,081,275,593,190,002,850,658,161,688,878,440,709,690,264,636,820,771,011,880,274,835,632,030,741,623,224,449,025,588,095,310,794,268,044,996,506,113,516,023,813,364,742,506,440,596,056,098,321,248,725,486,968,813,351,956,424,050,417,857,462,236,058,061,707,255,046,829,971,770,432,173,504,288,865,748,426,414,742,141,217,058,418,810,846,787,232,317,423,786,625,580,694,147,348,234,643,703,230,311,573,602,043,113,785,947,176,767,529,578,392,183,500,172,280,014,317,869,346,270,274,398,878,623,462,665,030,873,845,761,153,142,654,443,627,174,683,102,103,697,715,658,947,484,148,417,771,965,798,519,024,573,396,098,264,542,705,991,324,089,915,598,634,532,285,632,266,025,868,410,255,773,411,280,018,954,021,259,969,712,547,340,217,313,790,627,561,024,288,875,003,496,709,859,890,396,428,052,728,278,718,939,701,374,389,195,728,082,523,097,149,213,279,284,273,825,182,570,416,133,179,523,391,019,288,070,721,773,402,328,306,458,549,138,477,930,989,787,388,664,842,843,655,286,377,469,052,664,949,129,936,330,293,759,552,394,296,712,574,759,411,757,685,576,371,282,945,760,577,735,279,239,645,596,903,505,995,232,816,683,269,599,002,252,101,486,258,188,651,452,457,574,725,093,935,751,661,545,227,874,530,463,956,634,761,464,299,804,305,936,759,461,689,674,873,527,622,914,313,594,983,356,841,050,315,126,611,912,761,670,916,029,663,130,890,313,800,778,384,655,259,975,046,910,697,948,909,953,580,758,259,102,022,903,501,922,807,323,869,002,236,678,787,821,364,146,650,647,786,546,111,387,278,263,020,766,905,781,293,492,665,191,861,689,170,248,225,989,334,837,735,899,323,038,425,261,448,508,792,372,613,294,112,825,578,574,569,597,549,227,284,504,933,454,402,771,099,511,754,042,494,346,697,969,890,813,531,132,654,033,537,691,134,864,380,389,180,090,802,220,569,800,650,747,144,719,708,598,820,129,883,660,948,115,325,818,698,952,668,063,941,919,053,125,666,973,422,480,202,551,539,212,340,242,071,869,142,938,496,432,842,965,767,423,287,782,669,127,234,583,512,288,920,845,771,895,569,894,887,245,730,329,699,561,673,802,882,218,086,772,169,949,922,199,889,294,718,920,789,814,265,694,764,780,977,457,092,653,044,934,814,728,319,874,725,995,510,490,229,277,852,814,753,243,059,101,428,335,739,593,799,615,296,707,283,308,955,168,530,171,930,248,774,548,043,414,976,212,381,108,594,613,031,278,281,785,319,797,885,325,898,052,173,761,807,319,124,893,263,083,467,951,656,556,217,614,937,089,402,388,403,060,492,797,648,040,643,316,343,006,115,191,078,358,634,102,663,345,462,014,940,544,846,728,319,281,994,131,649,254,867,919,966,674,324,970,767,146,517,062,466,676,176,850,822,446,298,507,691,408,084,882,633,989,355,543,835,745,815,344,764,213,138,418,275,093,487,208,227,907,884,700,119,834,143,823,332,796,852,167,014,982,308,388,156,315,823,931,121,582,190,434,311,969,656,846,484,013,314,284,602,525,424,197,335,993,612,024,106,492,254,294,630,431,459,302,154,413,372,871,287,547,659,792,995,306,568,732,415,898,929,384,920,830,841,932,594,226,990,703,900,545,702,763,433,813,096,490,094,743,491,023,596,246,707,798,487,423,238,534,079,155,524,074,219,951,858,070,399,282,526,975,607,931,892,496,787,614,051,577,431,136,837,894,506,363,148,577,313,955,980,117,096,838,188,615,657,704,476,389,435,465,210,685,583,908,874,195,271,763,702,462,702,762,560,416,201,311,288,338,360,113,983,465,700,147,513,393,508,632,951,104,003,333,458,830,037,205,133,036,255,409,380,960,373,717,835,701,349,678,743,414,972,929,316,797,787,067,949,762,735,826,403,854,979,207,650,071,352,741,993,448,356,197,727,344,683,544,322,274,650,663,506,916,767,305,710,421,502,306,803,908,578,185,749,182,451,320,822,442,351,752,283,216,952,450,087,198,530,145,131,331,018,532,061,339,381,846,400,142,420,631,571,264,581,498,988,954,441,294,523,623,105,377,192,196,609,982,506,653,532,765,978,937,860,417,099,361,833,473,489,264,260,564,387,170,342,395,381,500,652,082,462,684,893,627,384,350,611,761,759,699,163,233,295,927,101,702,630,770,113,290,726,451,755,904,427,070,382,179,923,751,852,285,149,558,246,268,962,395,097,322,436,022,564,974,013,488,592,651,901,592,663,557,830,875,464,830,268,895,893,726,051,045,091,211,466,904,611,290,811,989,663,568,591,176,837,381,973,997,632,825,420,462,036,851,136,851,537,407,857,137,325,939,776,411,410,621,915,129,021,786,484,819,093,239,421,961,572,295,693,603,267,848,042,625,292,796,410,787,842,711,678,551,889,412,023,599,660,979,051,617,992,113,352,776,757,258,023,932,294,266,484,046,794,786,465,389,319,250,151,775,576,922,495,934,075,328,458,284,891,225,371,639,448,238,568,250,656,349,449,553,341,423,758,811,516,176,239,416,974,325,962,449,189,668,362,020,004,620,601,624,782,729,102,305,725,814,740,718,907,082,457,452,697,399,210,653,617,815,550,899,738,072,789,635,805,115,465,240,129,222,756,343,122,685,223,640,577,851,088,057,409,164,893,089,183,281,049,578,817,376,287,431,595,581,931,967,723,551,248,674,309,634,087,170,204,872,440,014,897,420,709,488,302,644,149,263,663,139,649,401,961,426,757,361,852,703,423,816,963,229,145,572,823,066,584,615,606,665,313,527,745,733,047,038,244,100,684,000,827,595,757,579,634,697,724,043,815,212,785,235,490,479,093,414,911,533,168,940,117,066,633,236,289,085,199,884,656,183,318,470,127,516,124,551,306,984,198,420,487,429,861,456,229,910,376,870,597,208,259,717,787,196,241,199,678,368,133,758,585,894,297,404,873,044,853,931,862,346,932,309,105,695,006,865,849,315,918,883,277,688,193,760,701,808,268,724,004,905,366,122,579,602,516,439,516,678,145,870,553,517,805,292,729,783,077,513,532,042,882,215,494,097,148,034,503,513,280,700,241,408,916,030,582,671,361,320,504,793,304,011,926,837,007,312,624,902,514,280,435,356,715,919,432,622,746,658,676,799,890,700,663,401,469,012,723,156,454,918,298,918,076,424,337,531,876,114,943,231,144,545,305,581,585,000,858,480,222,670,598,355,780,753,407,169,863,129,044,706,850,798,319,903,206,407,142,195,224,567,316,741,459,727,296,081,007,943,781,405,623,012,373,114,309,000,226,277,982,765,258,250,331,679,125,374,228,516,255,576,456,553,995,615,033,565,464,716,183,795,515,609,438,037,010,549,458,677,226,150,727,877,789,370,155,829,499,140,961,773,109,474,785,130,590,683,554,039,174,639,263,588,784,750,796,209,223,175,528,875,109,375,290,580,132,053,040,250,457,919,293,272,351,765,861,185,719,662,414,981,346,303,146,923,211,847,433,230,747,822,512,993,236,423,525,593,923,963,262,297,931,265,203,758,510,327,555,436,774,889,554,570,835,624,378,410,029,593,990,447,202,072,489,009,035,343,611,534,218,999,059,005,997,464,938,618,777,744,070,603,186,635,312,527,133,097,375,415,905,422,860,585,731,453,315,811,566,769,120,434,663,256,272,684,611,135,714,461,045,244,455,240,276,452,293,518,491,754,687,256,015,486,694,536,700,538,785,413,391,699,293,734,620,739,781,422,025,550,471,963,662,069,810,174,233,263,630,956,699,121,548,538,885,419,657,657,220,932,481,628,343,018,578,371,253,681,843,182,496,219,814,319,507,328,330,643,879,626,898,237,462,229,037,911,978,268,308,706,794,271,624,620,970,458,896,919,006,642,220,995,153,400,275,297,445,485,415,171,669,535,688,282,709,401,684,605,985,715,620,430,387,981,208,511,667,168,483,862,513,145,150,623,634,239,951,767,579,659,293,860,789,926,264,437,280,722,594,097,449,376,473,813,061,832,745,430,815,660,410,668,309,183,606,981,675,110,598,725,426,254,661,843,255,471,462,769,353,048,350,427,165,212,177,404,284,805,638,694,162,119,553,531,287,436,728,650,938,561,305,898,766,300,922,565,892,474,129,769,597,921,500,831,582,587,846,770,361,839,347,947,768,340,508,569,834,052,891,231,138,413,303,724,878,847,329,200,869,670,031,267,189,379,382,053,134,007,315,943,758,642,534,895,197,045,551,986,830,455,542,229,027,911,436,981,638,998,250,367,994,636,816,874,239,420,653,345,721,421,966,744,542,136,609,128,919,251,437,932,278,237,739,372,263,176,156,410,041,219,006,402,198,368,573,186,104,068,452,952,944,908,469,565,332,400,580,158,904,397,031,687,451,619,102,637,600,029,490,632,818,166,715,392,095,537,427,205,201,340,970,781,646,602,706,241,219,931,554,585,082,269,506,957,961,172,987,350,986,949,618,929,471,024,162,902,944,785,977,043,673,014,691,693,268,924,693,923,920,868,649,130,795,998,499,241,165,543,371,663,285,009,609,405,495,419,959,371,581,058,152,789,978,495,809,162,375,156,198,559,244,341,051,230,637,297,065,086,059,943,580,673,597,561,207,966,633,821,781,516,196,012,336,897,848,850,694,229,038,755,394,837,863,235,797,721,471,292,830,102,986,189,086,423,883,726,063,851,979,035,843,950,496,178,220,455,779,601,064,887,699,100,133,353,388,301,126,778,789,190,107,587,522,053,649,773,770,993,100,793,431,841,160,034,292,817,650,225,982,570,861,884,081,806,958,623,239,236,159,991,396,611,295,770,230,523,642,445,386,251,300,311,635,639,648,733,811,443,765,962,015,469,603,726,326,285,139,612,887,819,868,901,382,627,675,638,910,211,799,735,132,368,555,724,185,326,128,137,233,634,189,612,286,636,491,287,207,937,208,647,843,759,221,900,929,621,615,865,946,265,149,868,525,039,833,392,351,493,559,643,640,274,513,693,060,145,578,209,079,784,109,721,989,413,223,333,135,681,948,443,066,570,436,728,649,385,795,972,568,946,345,655,715,983,979,591,071,110,264,474,588,849,514,506,235,115,557,652,189,368,122,596,559,566,344,038,221,737,903,338,740,132,311,926,832,420,569,253,974,030,778,571,247,790,363,353,809,274,796,114,306,805,659,180,211,506,207,040,253,282,338,419,559,768,445,926,343,272,361,191,372,511,517,201,380,431,573,857,057,218,987,707,870,326,373,629,687,623,864,719,278,432,336,723,128,682,179,193,072,925,667,768,567,592,017,832,923,857,279,481,968,046,506,490,571,510,882,211,294,301,403,244,825,798,670,410,949,778,431,222,657,472,110,402,051,360,547,497,952,141,504,898,619,097,819,145,275,266,257,177,962,943,993,139,614,024,392,513,455,909,331,379,523,360,047,905,451,792,386,244,737,944,178,235,863,977,039,253,967,278,417,491,446,501,184,092,467,536,995,479,552,274,314,948,960,452,974,477,818,867,131,536,055,114,552,740,393,004,309,231,243,607,100,308,920,496,679,164,002,021,469,669,245,153,351,002,865,921,414,911,100,093,917,094,577,212,742,770,298,283,016,432,807,792,924,177,734,958,283,831,870,224,754,051,511,350,712,039,525,584,195,550,703,143,259,390,513,851,401,051,391,074,292,339,068,256,403,184,060,381,960,255,435,083,953,083,107,175,323,771,141,908,568,633,554,101,722,339,753,356,363,392,555,768,651,847,440,268,978,213,589,697,292,750,544,442,074,065,900,508,777,133,878,560,571,933,943,828,094,762,663,802,650,964,915,020,041,664,052,420,297,733,510,088,352,406,708,994,710,697,388,891,095,527,972,129,410,403,708,882,439,055,187,400,969,782,911,762,710,890,489,672,374,904,489,061,178,061,216,388,815,215,504,357,841,856,042,709,163,584,202,892,935,265,212,972,275,343,948,958,611,052,253,938,144,418,800,425,395,877,436,071,120,017,318,727,151,761,219,103,840,157,316,875,139,974,588,299,875,463,707,093,427,286,807,421,485,690,024,480,012,627,139,872,340,969,608,572,771,934,373,347,063,484,978,628,971,487,602,036,920,375,182,720,523,267,039,468,052,876,280,414,155,882,417,268,458,834,741,283,015,565,409,349,491,438,858,614,630,123,075,560,602,224,885,106,303,965,057,858,843,378,100,798,773,584,699,999,507,068,286,424,176,947,344,706,700,859,189,190,284,934,762,273,564,139,424,411,965,312,465,084,080,449,869,579,218,624,398,982,643,513,506,821,371,480,173,812,196,247,745,277,707,211,524,032,268,859,736,969,925,048,191,734,124,159,926,152,305,516,310,460,580,309,948,290,278,480,432,225,776,359,328,230,901,383,965,954,328,554,192,174,683,491,024,571,443,549,673,480,485,441,050,419,310,270,429,044,991,124,639,746,508,327,150,474,199,070,355,717,266,947,548,153,263,176,183,575,069,416,417,076,348,066,699,064,859,108,385,709,100,519,689,692,861,837,925,115,507,902,378,096,550,615,136,129,853,270,808,556,674,715,614,439,998,996,555,738,356,526,525,244,144,770,594,445,525,663,402,094,846,957,907,887,397,763,560.51121960652898304
$ 2323255371793266136451866409945906565553575505516740106141500261535154673451427224307389813398511856253342657776704172607999307545811705209869531299097215898661546614893759258277338643932815525908557322287166595222190162584367826630145339491882932090453543011708143545093163769660682677651912514627122505824046290243306839860270068574217380466752671657624744891824550272687880562459176346815071037951613288153262476156997449695193527057248497580017017714174323866494147403750617810610209990213464853128018435783226883010686034258807686510344972768763846211993705907338835890261228254857923647540853730426843647946800553182286993934593849009545020631959440471468283626652635293382647355109991511996040729662954078061860991168735245874913726179400509500580777221103819248050889853780358634141782045625844965109680881137601454228530801241957349774950113671359034921415795709427834379512500360409604480691305093211408110951435728755964992950241996379065438748014348633420987547764360052301569519885854533426865219072994708646339631925865245477670192128680165567097033116560291833655344919372424599165753653455897152404096829607515268719779957693740217404114354723719392648778888569395227358360728562874835418580307874188985591529021741679709114552882325048727191870581947534485623524309208956582575425762935544678147593652312721710350274032964885435111916272557201992730982234364685504702534453467447841780444103875691722862762439351768787185986669893232837019360125126419741782151714698175333904760073380386408694772046376823167357510692382616364770999960172911457044717186677455271059342171493793405441980476110465528558060094076305758343181825724423111492281194409288417948917330194505901243226771958252607594290203723363785532649737278213496622905345587094695949389930610471253992854099948205073844717543135427288862263001132897239267607879272477465463483833673234685695450177604234598110048185450341788465174677814646062705289562914365065792929494113360422560821517388126533911286362540230799292815332541941690656371062045527992439529575571469373114189502272345507759325549699387631522325657737970076777407041756782232335111500797116126727296477310236712573671228550276603541388637939231007627674484153779777225367300089509486345984055823893671737703978030223738506460927880072729409777792308980658812940647382128599481764733544583143022437597079717827326894796764031580943771945447146897622733473698262863522825478970720879849875443839781787931350441457383581511053565939732392525611658030694144955134305642442753195549538092770512087147196836653119102993001074622120854675431721675888290430889620487946143328414500970240172157689391350461535781864631566710121907444412831971532159550761098548991048538585880769607659022952910134766031989964305650695486975039627613245051330709935946953630039963264143293575090362043218596551176377547748005382069603003383098940792919519216919579419595467396492165780708895364206308629727280532018988862636121298590513959014267021269402573946968564899438038689606023853745571785368805922472964160829792990987861895230859256999458822874039445920797595386615391379376379764692122318421210989492645575602056209263331650997829139214452136683081907792777957613882835325967530791684733644796395189868307281079131891330067219658124900824892626937638571319808129687727625583971369279843367242077424299558273200895433550017861959131555696491212442836514334646276428755711924195342472022487955468103322980959217284746321659197062898279898804473509482887880337163981660154240606101004225714036454861471072338959965637011194971600382725754027843618881085414653921803714556232438836698543987418538671436419783020748461067028714352459033651183940010513193959319800685046629381206417981831904653529259143368196516371860314563665727842930643742729254342258735141401601536158564971243952580121731414508590877897055140579118725669667546460082424502558603217915941344541709890653512695877034373455725151890507306442157322125862841302392309106888340382129615604279226495121433243065762958555781370048505968613809489728746852261970748353473115142314645177890339215306711184522509285640676658012492776263264876266306372350810291898306938205737690047772039039471701474545022146493618068942125550845445592065537138961012594257098218845139702437182791847652612108076159731344639103765633605804404471709084178770677119440120312452403138520147116135703229226108607594723426849863110019483770145417474873168829960938933830384552487671231229369673074536983364998357356492272057061494234697634143630734054767219879367594663690330090605310880660415694275354283982508349727032949337265459892264230609388124539207266653220832435673724708129193982234131023590574040490751368776930410521929402834623982506454423143475511037483466369833633603479987231896937242108725539725941133036820317884993644945608793072639043777423968157189190057401820132297145254637623171004892580322104048066505967741111049211425074017423998482494538302281683487600472461966830111525577844888318480586076156806666559783506394789737003022370013829574414455565525805475587955128475780176885211343258716171454613985433115619782767765718902944922149714213781965347727047255107784563877122459075032398829039719534421340210080241230808991257861861170089950801657638049826392343854391481139398577189716503230889516976282393834333684585150634332917462246501627143817825248121469046052997755919895254451061856133623917238481114590468790037911741601282965238410450187205459062445306020968478779003429666704281182918515265741453381742000248464579812635874463559696071160278688274473000354231346194711490742207423037855163751287501355019607859611315308425920134480387891533425307424542858796949894702557098097542158931389462804889219169978695135776578202737931052316936202706225276765126224866718991741590922828897069521789888842222316542345019047302583738281170589840091922242951833252324084914302738819486363612683826616723899218168601470695501080134663653321078813603768421318424029193267786191043442529627374182344429380700799061926814632026378110556055983534398367404106116211353109429113524199296805133499726089655195755669526693021977100346274257677866761272714745064082828118919111846429747123219471580104723055421046326861004489793696051434990367930275176817115918920838459783760134274069461029904066330963884814479506994144780801232297363834781225039174390892415038247070480301046996494982952011631074487340788028807764631248053155392893157140849696757480906092043894766245678474592396335867716237547837567772593889570183100112689391670856187333762956952345516370874993189736272711291994286182870724277196622674980988601195837818808544461013883973039114306798380768015642210629672570453989366869558974590683852560258274617598934870533706803178242392109293222454441133758908917873676963539730077810398093270824809627072996024393539152404042613317300208187611082560055533517390556978675140668098436761212210383321976125362373627496353753543341070622946210894491569336527758960037729067564356306892306523461273506093545941499958676622344655024172159101975479754220934546660197682659190302119939822992634168397721568317759912517792031780753400039150793016379821884945695275274610602406585029182675726864050180327326687200002348984104181933537982849475744392539448149416758630241848178804513421354558952082080251578105945518719376258887123354290555565294790760860609106776287254821154299773870429926353555617461567471829683937354527365924488007327482291248343055520695640112192781292537271333822625163956829644178245608455351375754560973181329845808292437752308268445860030189473203517299984848936038046121812678733987041631070112333493939901710163180699919073235617142692954286989156017996404891731304399994617677103671773867567536175578648548190136450290310119067665115659049433382521609297076136322290985372341904741085250581289217633056330325591422796402007122236996510400020823004815470206413256233796030751616880342779900742096644382486193675722073019881969228558434879591323055227775617360759197470503121415764190576413190940397131573974696378806955662911349065752028449664268626621366285651980993738968065648022444789861681977809492004292780052875363022594558133541790344105708059262100517708021715758152389674493341787920544927489474168372837487359513688139755936128634775957301519688704857437720675124085000350911612221787128554939406060522027181027297673243699694225371529933871891225128870863021134666276658658740884215115937955043949404960078119298483743581924947564493311281178100622546782465144690852271040666215034238264217248912960401238500976973880325376554202903179381702695110425590180025866144037367492095286912782933147078160062051613312153008925303377952348183653637821368792622171934590398116771192656937650342689705597504047667362438447711430238635314850870486486565284046187991023362995698121530797425626744361935262215537412813792406043739350722893640858123329232981132754491387144787082489684774894754752177752065497577881481871372569800848238208915823999215345129148787487948710005934421084434058488582856207460607210344920106669493955099328013200234066678806049655345858938361073732039062241214016459802142520323851842594323094193650809500180258424530192861035770268810263113616290265644692551050652171046776140679502496935120006707046543816556493213369926472744244003818179822778364967310967531570417008305111361550722408943480257659422062958302795512045284989809480334094605010251629717526146907654687237523719642413495923340331289266735621282652033139793813889163639463473162040427121992331789125817872150029993062502156093421238991112813569715339295872373881722591418441645116686773904329305906320741160488912313292393542277255153165950426072801642368289183498901254962072470434736369582607652624765212385544086883119125832877560458177264394226333626506620191975240723189459760838305609378.02
