140,874,387,072,258,572,759,050,921,940,786,458,302,207,881,042,013,786,747,496,128,323,147,191,658,037,279,157,960,062,132,429,304,132,262,711,291,710,142,610,556,885,114,555,802,054,846,653,458,419,125,100,872,608,114,974,984,332,637,436,277,688,722,324,860,127,754,914,973,266,070,939,230,457,737,836,663,443,540,025,333,492,709,620,157,921,414,088,537,544,361,319,226,396,398,643,323,245,247,348,792,332,620,362,073,907,838,234,363,336,205,531,392,305,175,631,569,273,520,023,939,280,325,448,285,446,884,789,391,234,458,783,967,733,267,244,047,481,631,454,562,792,458,041,940,212,758,911,775,380,943,839,121,249,405,665,571,496,021,652,962,837,558,232,394,136,613,275,361,300,110,158,993,155,080,546,322,316,177,776,888,080,754,014,913,841,784,228,778,375,449,351,180,931,336,202,038,559,898,919,788,710,009,588,219,336,422,428,669,712,743,367,000,870,785,950,757,406,254,022,597,926,870,672,996,414,000,742,039,856,404,753,914,861,663,989,514,438,716,034,712,320,560,939,642,158,194,887,317,974,167,122,257,561,905,933,313,082,510,251,123,028,116,842,322,147,036,370,304,903,158,367,776,116,222,457,224,455,588,476,078,156,533,715,929,500,478,833,116,161,208,679,144,156,770,914,628,311,415,357,313,653,078,432,377,477,848,331,659,794,176,088,637,805,239,833,268,160,471,470,501,114,213,705,126,683,902,186,065,324,278,307,380,274,549,508,533,185,035,223,124,394,020,852,383,286,140,662,664,028,676,546,353,099,164,515,201,663,706,716,453,864,612,751,984,006,985,483,130,989,858,657,472,349,840,917,996,470,593,652,260,037,670,670,425,300,255,527,347,444,545,094,797,434,078,134,709,263,567,635,643,868,626,716,577,342,713,630,462,045,891,746,321,628,531,907,887,606,169,253,912,060,526,058,386,285,293,200,886,129,057,015,433,097,319,830,771,907,517,656,063,128,361,955,331,386,917,701,463,131,475,590,375,663,873,155,970,504,214,232,678,931,843,039,274,752,335,544,702,845,482,110,079,977,895,472,175,635,773,023,212,662,458,832,526,774,375,994,139,507,916,111,385,773,889,336,758,659,302,911,436,062,407,766,416,630,108,440,873,392,862,021,258,901,719,106,209,009,293,003,553,454,561,830,584,223,658,526,590,513,255,155,652,665,193,707,957,900,437,350,236,045,882,184,495,519,504,960,578,001,283,099,416,591,292,910,809,824,012,818,386,736,675,022,623,836,949,774,414,984,324,731,445,640,358,825,768,775,178,011,629,678,988,115,218,277,423,147,213,136,623,322,989,341,626,380,762,410,212,392,450,810,664,748,383,682,288,314,401,894,884,285,168,178,042,613,996,373,747,077,245,290,391,630,406,364,047,460,589,196,069,219,886,501,980,278,184,108,398,554,384,726,790,952,391,398,632,634,033,716,189,148,491,069,883,456,231,471,376,479,826,624,932,013,928,405,210,707,805,318,286,562,863,967,620,019,229,407,195,986,665,714,159,270,566,905,793,910,966,432,154,243,162,082,054,343,787,593,395,132,603,387,531,703,277,932,119,021,938,940,468,642,528,001,686,854,786,756,752,977,017,552,045,252,372,317,028,642,465,185,389,826,404,318,537,943,865,042,626,588,042,692,817,764,698,282,754,532,348,810,466,751,231,843,751,937,953,622,262,955,030,704,146,326,532,662,473,866,679,194,876,057,110,014,776,647,776,592,988,818,711,253,595,445,280,992,919,963,532,843,447,577,512,381,508,371,675,540,340,638,093,693,847,406,364,626,549,042,723,560,606,081,379,115,726,720,224,539,245,006,264,189,513,362,876,386,605,074,258,762,697,470,006,584,929,417,703,650,555,234,746,684,516,377,897,750,533,526,683,644,873,566,608,817,398,748,408,837,164,524,128,581,087,876,615,286,610,807,633,572,067,967,988,846,695,327,875,347,511,880,743,525,094,547,269,839,029,808,974,628,246,229,782,795,772,099,977,787,429,777,423,956,605,685,631,967,953,077,611,748,772,821,614,576,723,044,313,784,196,171,211,542,536,035,938,961,244,664,261,111,297,694,101,393,883,563,801,774,302,004,240,926,116,584,837,947,948,765,073,762,304,610,121,065,417,802,818,633,456,853,374,314,644,804,173,811,657,978,127,861,274,914,706,853,210,708,061,739,114,594,464,933,783,948,801,736,546,019,118,160,872,726,401,372,477,336,874,141,190,334,788,130,166,596,695,614,552,277,020,253,069,844,710,222,723,503,669,552,336,514,362,801,655,140,814,587,384,629,096,129,041,762,130,825,948,190,416,402,175,205,385,932,881,363,379,655,947,127,823,999,413,992,094,495,644,247,939,627,295,415,936,166,024,649,531,452,014,510,269,903,551,322,908,629,343,512,667,126,048,776,638,881,733,337,851,695,589,876,022,137,750,090,287,789,356,227,377,565,858,762,403,033,003,456,431,841,604,289,758,657,132,237,387,707,726,408,904,680,235,097,657,888,814,907,056,589,131,482,187,707,347,142,944,747,907,622,005,624,591,773,539,805,916,701,535,676,945,310,824,873,438,400,871,987,366,879,838,650,095,543,032,885,048,094,611,818,978,071,976,834,122,067,723,877,868,053,564,546,560,292,932,218,540,015,713,845,354,321,660,503,524,189,827,164,445,187,935,366,067,506,237,406,252,297,708,162,949,955,494,802,634,805,206,865,059,551,331,029,676,842,008,099,550,072,485,197,180,820,976,373,797,072,535,152,976,848,280,727,455,467,645,217,345,657,322,471,022,663,795,339,622,250,427,451,393,640,949,561,404,143,353,104,153,606,462,529,050,731,514,966,024,860,626,004,828,136,867,692,601,289,368,518,114,779,424,022,912,512,344,338,895,024,558,658,704,634,935,705,057,692,707,389,672,401,130,817,301,643,220,541,998,111,400,926,401,701,941,376,410,321,092,497,252,769,933,261,346,910,034,011,470,662,787,990,922,491,976,572,396,594,263,068,699,518,016,866,539,230,604,065,416,882,785,777,690,930,156,752,755,717,546,465,862,375,087,627,060,117,196,293,661,443,510,329,249,379,005,351,240,999,266,837,432,384,910,493,896,674,806,939,476,428,991,722,172,170,965,191,069,897,187,722,073,352,837,484,671,586,834,295,709,121,878,078,208,652,243,747,853,856,215,428,593,416,819,582,856,438,063,628,507,772,206,278,955,351,239,698,967,304,978,507,250,120,125,084,982,513,210,470,400,755,047,900,943,566,227,681,867,824,848,647,611,350,408,572,213,431,883,794,435,780,239,704,438,030,912,619,679,242,712,141,332,436,071,893,384,374,261,687,968,057,664,343,827,859,713,933,108,462,877,314,533,979,121,086,164,202,468,781,417,128,199,029,325,912,399,401,917,328,915,026,827,497,526,753,997,515,383,845,031,805,379,283,071,930,088,317,906,944,921,780,815,198,895,317,441,857,955,700,911,677,077,787,774,206,097,429,672,029,274,897,844,176,327,290,060,709,751,531,326,017,736,699,167,513,309,241,425,485,768,518,359,172,379,484,019,346,837,486,679,221,800,856,460,982,658,703,952,679,204,371,456,466,332,369,075,636,451,432,438,709,393,096,722,615,973,249,463,876,546,634,960,543,322,566,108,947,883,187,991,264,313,515,556,887,491,063,054,895,520,259,629,931,032,138,835,170,504,354,963,297,658,216,955,577,800,989,721,941,702,720,445,354,497,978,877,957,295,828,838,413,016,444,556,961,103,639,092,965,330,570,270,987,656,062,526,375,379,006,102,296,732,329,278,994,547,364,892,817,835,394,855,635,098,507,990,180,268,994,971,952,159,823,906,237,315,990,870,912,757,140,922,363,445,233,653,047,573,136,094,715,176,349,999,699,696,479,907,440,966,812,794,465,258,630,335,388,373,955,883,484,709,166,979,948,370,384,758,624,679,840,650,513,067,169,412,650,217,007,660,444,539,018,404,898,143,944,495,981,420,320,149,931,543,521,510,859,242,203,540,218,065,758,376,171,931,580,360,782,681,992,504,294,166,443,889,624,495,994,168,972,361,461,808,702,272,674,103,794,636,358,903,170,445,101,917,110,234,657,894,449,173,949,301,961,588,628,231,127,392,642,558,493,867,296,173,988,117,031,697,296,480,944,577,304,742,948,855,798,856,207,578,383,097,424,678,236,873,084,490,347,449,042,889,945,983,714,140,086,786,033,922,857,315,601,426,328,694,884,812,171,550,095,689,646,166,779,865,360,132,201,902,752,245,824,830,038,023,440,244,438,373,057,866,582,310,996,753,397,188,642,822,825,245,638,847,455,255,873,088,159,069,527,739,073,195,786,729,748,044,210,968,067,620,673,873,512,259,638,992,944,321,784,400,322,987,911,258,625,495,789,059,856,557,575,996,976,136,125,311,195,971,241,514,422,440,004,793,844,904,084,871,993,022,906,935,810,567,505,393,516,594,698,985,619,757,763,041,814,041,027,025,554,276,462,960,259,963,038,944,436,677,085,308,828,994,490,580,330,489,658,113,181,643,538,266,114,442,347,550,366,776,186,572,772,239,463,050,501,530,049,286,760,134,806,417,164,092,436,168,031,696,126,478,817,743,179,293,787,725,150,628,730,102,106,724,405,899,241,453,293,946,229,784,995,029,567,467,197,257,584,049,442,778,302,983,046,482,330,557,769,910,313,754,834,640,525,535,717,900,273,387,254,362,219,389,919,645,028,344,854,535,715,398,528,119,660,395,268,102,584,848,273,539,307,150,542,998,631,432,531,591,508,503,382,053,946,196,679,758,560,298,461,489,277,365,137,755,229,009,291,421,514,018,787,404,802,395,087,127,459,371,905,663,217,414,035,671,309,907,454,429,353,098,957,730,626,436,189,157,437,215,420,368,227,696,784,547,772,357,781,430,394,122,622,371,981,989,872,652,189,141,625,451,986,538,450,837,043,092,681,018,534,998,463,488,795,903,364,228,998,691,878,276,799,959,354,250,649,094,916,824,905,950,168,661,333,236,527,241,544,650,746,668,649,314,577,608,966,392,581,255,803,870,215,305,136,591,378,969,121,866,127,013,755,785,267,358,947,188,760,797,142,249,469,634,348,439,123,854,070,225,083,702,163,919,604,657,416,592,450,674,714,765,435,989,686,400,948,041,994,351,200,993,776,432,804,456,968,729,236,643,076,072,902,338,193,076,714,842,238,225,850,491,426,545,080,074,671,924,563,804,633,029,478,426,709,306,826,641,009,761,956,963,965,046,122,722,748,147,008,942,197,440,170,214,286,069,124,542,203,277,106,351,635,325,840,094,896,935,817,131,170,043,847,661,044,421,234,081,524,154,385,246,769,482,404,842,559,336,972,696,722,444,110,387,312,638,036,956,909,052,580,797,461,996,905,015,987,026,577,658,792,818,201,031,747,582,471,268,564,766,008,487,992,378,005,739,093,951,355,184,681,425,075,091,797,612,694,172,865,650,496,787,639,372,908,531,533,762,760,066,123,116,934,050,766,204,425,914,970,200,831,752,765,891,359,353,252,206,506,323,904,261,721,192,084,142,869,637,183,340,271,345,288,419,759,660,658,887,545,597,543,769,158,382,478,342,194,285,741,741,035,159,774,980,855,728,916,121,588,345,415,133,122,399,429,997,888,726,753,744,473,749,680,787,606,054,376,975,857,824,470,004,053,179,889,530,947,055,714,275,255,311,718,097,756,403,345,848,720,474,464,575,797,901,464,810,674,263,542,175,514,274,476,677,582,079,388,519,648,051,612,139,412,597,460,982,435,975,644,438,249,507,581,423,898,187,385,918,906,790,865,213,512,626,271,812,181,067,247,115,169,077,717,167,358,626,742,119,631,476,322,659,675,512,016,306,954,854,138,666,440,180,146,925,055,769,024,737,021,183,234,253,312,831,955,716,756,615,124,446,908,772,825,012,802,116,863,899,740,478,184,553,629,195,860,865,934,435,377,600,288,865,974,203,460,386,111,015,427,753,061,234,241,699,617,321,124,922,861,656,658,874,778,513,349,247,712,886,969,353,147,791,979,875,815,109,502,373,073,675,308,571,991,557,901,487,608,297,308,368,957,398,452,607,897,658,019,035,017,056,029,696,670,555,478,619,327,296,930,196,840,063,607,044,196,973,144,567,347,991,348,053,785,166,625,250,084,485,174,653,513,076,636,943,347,407,697,393,144,437,725,739,321,650,060,663,343,849,825,670,673,432,071,487,793,406,383,839,958,903,168,696,349,217,478,665,477,620,397,187,072,994,271,392,950,162,782,519,235,679,249,635,216,684,702,685,575,022,222,624,411,175,607,545,310,679,764,164,168,485,037,378,008,613,342,450,965,271,680,775,549,058,333,634,367,432,773,598,527,986,820,835,789,407,671,469,152,105,520,540,728,613,297,913,569,692,044,757,645,149,897,321,077,820,431,439,335,093,172,564,561,188,935,675,477,457,124,287,581,310,792,103,660,035,262,741,944,375,835,835,098,895,489,468,000,425,460,680,381,197,110,781,354,320,604,195,023,265,980,021,177,159,885,561,005,070,680,775,531,201,364,692,476,298,575,904,800,434,354,909,527,302,434,025,070,651,695,846,722,554,121,421,879,031,711,107,548,381,312,446,429,741,495,691,004,525,026,615,881,658,713,856,433,112,737,134,324,151,738,959,301,698,614,369,890,189,682,986,402,989,323,532,050,527,468,180,303,171,007,767,073,731,848,913,590,878,986,262,519,599,148,540,888,051,391,556,768,103,946,287,351,218,647,646,470,098,879,129,567,781,573,433,435,537,161,606,847,783,126,027,490,907,142,011,859,396,979,974,743,801,514,299,940,323,405,302,846,986,950,495,790,915,397,502,832,223,659,993,352,942,574,733,125,531,475,703,320,652,712,696,790,957,853,265,829,065,463,186,883,197,476,163,920,340,399,554,925,430,820,987,110,247,790,566,318,910,110,654,434,729,625,729,644,956,684,971,993,350,230,197,876,207,982,402,626,821,673,556,842,468,074,416,903,431,684,189,146,972,030,484,347,346,313,199,327,355,297,660,766,815,275,245,357,993,642,724,075,812,067,928,953,128,183,360,164,553,990,901,012,995,740,296,273,405,729,457,161,056,975,968,955,324,281,113,002,464,166,053,750,233,630,331,154,256,719,198,206,540,050,821,375,010,942,155,346,405,253,609,175,638,501,033,248,493,848,102,285,762,476,001,734,036,839,576,754,109,630,972,997,130,264,112,394,615,110,481,426,118,674,916,023,369,643,777,157,084,701,483,960,270,152,216,124,344,862,689,125,307,051,380,002,158,144,139.164634955709939712
$ 1295063613074647913040840923434977175462878316136266961189959944235417963428235773734973169472567864275193448993426424384524671073785214360930850981905615313376749189540834310321766102245662887986246004843667465092682811991023864029791871450567154679708882181454437590721421779951039402690951699764100284300684819693467757864651020357168682555252290932547203964859643269289819577254138001508903363700301313591506704677489665666797510974922319884623353625188872193278330811202073658879693749424578383914658344762669506720836739068222355051478606064795869741726212527592231829503934517855892944520019596979225877693515430144079553199828215906599247768489610965345678102923459163536060022967132006836172507067639864916745919455273595707758547977232212358591670823735418120796753357989643450520565285302283916641103255380079413294422186582808758793627671890609818515043833722430220342139058975304093564380293541316366259786672991670922428666275396255585926176526009930584474077137045070250250923409228606201839177397563751811164281398239123048460626548387480836217262183221651031441707527883496253497430847876020300791529864100461665442860485485423204528910009816547349882914378167308131748951473924610767126240324685679674756781637740074934336085192682285058199458656634372118835039800977169103545783743258342626225028289654042388155649116107824991092656832365928091629441267341033367681194593547091269157906285231190382612092726276274791937748197997410782831570861527457772137943678938926064285083395945044674231905509999906691270806178279167089698705247872616315179678950014751157862651112141286927544948359275808260017293766518896834070200177673095523086319998030631204517310640123649255934212315946821339481943673342197759665794224361637921066696528560664719919805765679416406339052735179427962749811726331521750798853585920874166736976431220876890169539292717992659498077921834238019457526087600191019456229506101971957895920579905752008529432577879757999981115902023358980420974624933041486589301564711653959177276427609438345849274279211645846805850998417645461095500078420077549476262670267089506528258313683065412843665581083470109259794036262070803590257624980495508710701935914776908755027272601582885846002573394554888173879796545954816379129237364342964627739794487074748840719971968980327438421499328497507178258034772670602018050515711561439795416367525934681501266648752393662183042745149140655764231215598573493165805353324105520785635633835859553856405811987704631517320803100609444547479083309950899091898399369106020444594993243377339747349060933016971611953102600313332693793324385772679784411732466599591998080531724723458789972262299883568999430480707714795384141968072593179706112177449396723312897599089426874140863231019917818782959065643792647340664714903132748149852481032233700185477168300446841810522007859331224311996154374846547724293075721351241393460653331035677362647220931724028036552066583127918272957110294630888228147779820225604463329069791641810170063068659258670131116194976554153975532639046930393240149490714689625125334088815369191799234627842591389372137816410168518700584552217605598350004350981001146999070028504707953899025796807892097683471679601711926476773249850203827389534768538449366095154358437588658721411679694239117037996868039658014151247933908280226560526241612900250360357510828983417152293627857191870633302157210649944132482971603870008904411478172666063195719637940915448126662828196578520527168128561121104008638396244482622408693864018988422391031923010204228532564746244023938796671069832798463965317402096520023284147662072461588790207636401748911028361865821517988695063537755968559773741525493211151920908948254648134424190424734157254545970418070958428319269153640805816407032833305489232660766265527291145040305446332335652764108700793169387464920918259120051096167330398341441503356300415811966222369382374511535484718541897340794042157299454883254320516107755102121442503593078373288883043958066978628885708780485796378231924794904715967447261498635025752436653585704162260518322493522611886164474352910001147605328433833471163422094806107749628749705530882831931795080725298681473841018986535648483776557416171658433039885058834903766300460987496341063562926986634885217398147660632279507730422234845476775785520754988025821251463952302423982253120283280714777518022615804240543272279728757590915277178344445569551462653693622252575429639727709137346736062614039316435655864500917737541122215206676371953877422140648284024369288532582389319453615792437399389115257453810233026754654781778694347024263177922915672243165985333028598374808588353951380527547176079431631527061893016288850681364964266208278646130791676171831148032186174977029792365389790919564658067151701366487327596651970991973562003529629674127869623381187993232585273313075008709725330498065894882399045897254664478766366759187486428233349881090716344883315686897527582367841696171402706914260828677838066146658670996181935169049726974145935397322580904911447225600706750166458779301557725287353671010044576569093193955805610494314318262260584405257739026609399608866331883844289634365775712154894888146018050804842004910940313119359372091968794227666533301172486927519217215365676106428030978410541326007218098290926077155881539567870711738228053557416480911015851623159151665659426786779947337281504032462673651733960396010384782394181853005710085699351666728078099788913053470333146541682011150593356030608092460517731898423290066574609654145076461650899337508841151047640485935645175699734094522379667134744801103024157209574855017214876377420517193179403758480647769411728760342786291567039617500778279673215285455505277376391060879882208786120597669786818565499375339756274486708685219664594583453112194282623223415834140769486677781365925309503192952610011544201555054460436434800149075672428950585307778228526558304791422539163144117872646234496772729623926348047570749267026655858775964460739507760955100807315362662176917254886010111980654087239332241353489583275049426438189118651242711484607779688805393839892851100917473027512039453444201580035100787978881787565803146477190806876736498793511539363124319933503047186779538763588455805093925320185665557888835680471578900892091849180357527048281926410449682165085283087478689858434841206897405096511199146812329742568451559149095988038403544965819993611591461973834579041136991210856891490049442735756017052383953792513490890987330732053531118584895348146795275406077201796049497771223715914899980264285323872677913066760871017329975398421767418519561496660546115283415348347934123108620145907981894686031409799207416534484613767686580222259052873637352213993895678083259312519927848793794177224579012900599893172995231831972103574658402923104294652418973261824105925696453448490188610669506683227564318343315852623407201643869964930770731304435714316584441125534368157500664065366986347159481394944742876919339969203435857577753027806853604674833066286548034298651922333504447596654400818957527935858724810033916953862134436057983636575760768756671127823773969761579574986906103450288462890720793105138654786216963595433895511540274850049845071026334675401869090443676202240578514463675511705525807638781934153880110102331212318506689559894852064718870436263710006785507950300522178255211978698239179396444042299620205480354938284775629283792496279870530588068030115008531151675989730197330115525006068494322917983078424779053876583271221854845802052950417412562221090284657303819409109990183407593384182012785251687320926820938743399021964459146395496284455932742824765140083517480382878754394525915430938993895369411530592039099342945025559878045053444383729368195816672311888941838694351020668561775812584131884526143722229913045427979026680513995243630457986615749550573135397215123862636499078880682762443033331703980574435285890291849488086476376313629557866776219429081891397901153816222832725962787461829990526696861279425366026294698417309366557903372011168494384884074305240521459848923905670368014714536704366528488598683801128695329688861258714925710234069628909065550060489055917221922748175280743386432119798649308223911120706614625351563709408876563635918705965146917577959977625794960086243857949150051519816646045919997151174527553894864704087105172462386596399741299384086081889543221931084158130261678620713363761226594998991627955562967907578888714079730948961734389875400655565671322151343689482146062571365552892111465243783961886258195863961474547468600378496261546547920931718973664541202610228960034433538079014495886022823094534818094290833355471212044959699347834904739733418637581716538330221036366258093917013567554178969214870192404243011792959809176171242467981949606733740105865114785053439163383526763998220686976964059025982107409612811079201399064577615015337148392897951977289966674529576722178553210994759077378685502013377333648992607090496172447900225978059184995077526485494227239280573680966643720836700268433282274343257863236734774976923139367257733307735568806540719062278300168009865298170414595768322815917033661144711720875580154117007530334080660835498332796594924523912007846534503366584276264558388583157069543209378536369593277506208598777659840824918036033978660610758933466838471310285051256831072341637645251080586407375351023815818413122671056090560125194043938221242804221362527858564694988709248050139012467513099499104041387298966855554372158518411434838339242326156155977917233612640854448817884176433851049827097191629219554272494578933810418793012746877536888387081997520079866249102729870612588351207198984603819823991697125754357438533540009396339089421495554981059023649473763462739726063343460445449562708934146397200278667878629813251644262480934240058215228145044073078140216600272709240677729725439784494.36
