2,442,543,617,314,959,598,100,116,887,501,681,695,983,581,758,263,453,408,659,288,693,682,527,786,042,980,792,886,926,238,538,960,190,425,869,574,373,044,255,738,009,008,361,135,054,620,549,935,250,524,990,601,800,620,675,484,769,842,517,787,324,426,744,677,582,550,644,415,620,347,804,048,594,133,120,611,448,784,813,116,133,361,182,974,618,632,845,807,309,321,059,372,514,695,851,374,630,724,020,421,939,439,686,811,031,725,652,917,929,545,764,621,252,844,592,375,513,932,673,148,358,160,616,724,589,155,003,072,915,247,768,098,869,902,660,608,608,651,568,028,180,271,128,653,602,263,236,860,535,734,948,888,654,907,673,804,767,544,139,951,425,189,613,499,973,578,202,791,909,357,359,641,566,876,961,123,655,312,826,307,915,528,338,551,374,781,788,666,609,011,290,885,350,985,400,865,113,540,717,621,331,583,905,410,759,535,125,632,247,800,168,496,316,893,379,114,240,566,898,368,029,456,449,126,767,853,120,163,329,584,979,074,982,866,413,398,695,225,152,818,334,152,830,773,799,883,983,117,127,523,720,348,962,192,242,292,174,592,290,270,263,971,800,837,430,884,837,677,434,062,913,993,502,471,913,901,329,358,265,950,073,823,919,905,908,645,550,468,711,289,903,913,176,693,703,254,453,606,324,106,952,300,531,614,018,293,934,475,097,557,089,001,924,871,567,564,183,156,071,820,196,302,703,361,653,857,734,561,166,955,553,177,041,123,663,189,901,792,467,544,847,190,471,103,345,170,722,307,040,097,304,303,281,931,706,695,592,162,609,861,372,042,382,093,803,618,973,221,062,235,064,270,125,512,194,753,355,299,794,576,814,556,589,089,298,279,992,810,304,235,219,626,687,242,209,969,331,565,473,932,745,753,839,796,565,220,680,245,681,442,949,165,809,640,527,576,453,728,454,284,053,569,231,328,164,035,345,234,136,851,474,170,987,305,690,444,851,616,640,677,953,614,311,986,541,673,279,351,185,351,610,346,967,107,143,960,525,872,794,527,766,047,979,573,411,665,371,505,580,389,747,402,871,744,264,019,823,750,788,395,695,589,457,778,779,014,377,932,115,695,828,636,092,691,158,609,615,631,309,153,048,725,845,644,067,047,456,420,290,253,558,140,011,320,455,196,233,553,399,122,802,677,229,530,527,174,297,503,673,832,693,047,405,294,723,133,125,360,931,836,222,821,194,377,521,370,020,743,370,634,044,094,008,825,027,442,511,051,451,812,182,379,627,778,020,991,796,302,609,999,966,495,052,946,873,263,201,264,833,662,708,086,129,389,540,586,657,399,459,019,345,046,601,853,290,750,133,760,129,680,063,946,693,042,066,620,529,027,568,645,923,406,768,259,473,647,524,437,805,966,936,847,944,955,269,183,749,046,198,975,668,039,245,824,140,870,601,172,595,669,888,722,647,532,450,269,286,077,780,988,177,730,880,345,015,699,155,043,251,133,792,851,921,402,937,492,792,136,836,157,485,078,052,933,833,593,762,660,137,184,386,589,520,050,830,282,077,466,527,679,438,744,960,235,604,547,783,256,367,912,381,508,463,402,958,621,709,506,209,824,538,464,404,134,347,033,766,304,426,642,425,534,734,462,566,573,936,882,430,710,339,814,218,300,068,235,590,883,540,963,739,629,156,416,319,535,807,094,552,532,229,982,531,447,875,076,366,441,884,658,332,839,236,092,733,142,073,675,021,661,950,603,836,053,058,612,067,939,908,230,490,704,419,111,619,320,828,936,322,648,302,582,361,536,993,692,504,262,795,606,301,674,897,404,675,181,362,589,515,258,627,925,094,509,358,980,109,851,785,292,191,761,625,157,862,055,035,821,662,257,191,080,316,602,572,066,590,443,824,809,669,764,901,088,929,941,633,146,711,565,940,328,504,527,678,615,270,510,181,217,516,682,147,598,234,903,801,056,652,485,962,925,917,209,865,192,510,437,863,263,322,136,865,245,985,202,618,866,912,512,641,677,332,460,831,754,080,672,555,970,767,686,740,846,439,486,439,263,383,946,484,677,922,364,354,325,401,903,292,149,358,713,988,215,228,616,244,784,765,426,145,838,400,652,459,505,691,165,682,395,802,031,832,044,148,772,708,042,413,236,580,623,287,088,193,442,162,202,896,539,203,348,080,490,305,076,862,925,543,280,073,286,050,363,080,139,542,124,313,329,629,455,234,451,101,816,928,755,469,030,539,967,638,087,154,478,513,838,779,359,137,029,605,972,941,547,886,060,103,127,499,290,202,865,043,334,497,984,227,168,571,249,329,452,973,212,597,207,781,405,232,238,453,200,168,488,510,865,097,213,093,241,967,845,686,307,596,243,976,221,127,325,014,859,725,075,818,559,222,576,327,543,055,722,716,714,432,057,290,239,867,589,728,073,042,800,247,041,672,149,376,284,539,953,791,942,990,427,687,697,436,622,731,728,269,374,108,463,181,115,516,551,156,885,074,632,573,506,753,672,817,086,254,757,097,602,227,558,381,946,104,988,632,931,049,304,203,033,006,751,474,592,550,821,138,313,314,660,097,440,322,882,258,741,081,527,619,157,690,041,319,857,800,080,814,564,425,981,273,963,987,596,293,862,767,006,347,993,938,495,196,380,044,423,117,269,271,425,699,019,370,508,150,913,288,974,752,025,980,646,265,287,147,391,213,500,189,166,013,883,460,140,223,875,035,262,123,586,359,407,028,056,498,664,296,738,500,733,938,235,925,146,556,692,736,981,368,903,979,179,280,726,924,393,562,553,175,023,667,597,554,382,873,622,161,862,573,416,584,854,909,861,697,895,090,120,039,057,102,585,518,907,420,478,310,493,141,831,175,046,693,546,036,149,233,198,255,069,466,675,384,581,063,808,696,641,437,054,593,449,293,284,209,080,805,141,958,185,279,488,870,567,620,146,964,957,054,863,123,699,425,879,679,300,736,344,147,210,379,071,388,408,209,993,720,718,358,666,625,306,497,114,387,817,155,736,406,497,183,314,526,277,132,901,926,577,665,132,516,258,710,106,662,504,125,035,965,692,329,423,068,191,433,874,292,914,058,517,322,338,953,042,240,815,483,248,494,247,972,360,041,813,292,910,611,888,339,472,618,380,435,155,383,531,988,751,517,690,462,670,016,721,820,896,926,997,590,530,324,673,767,082,690,726,558,405,466,453,395,158,013,727,820,937,646,360,343,766,378,138,151,491,095,175,517,268,516,780,985,935,609,993,787,727,417,824,435,267,967,621,104,200,984,955,998,796,101,770,523,131,251,144,796,783,812,269,169,894,294,809,479,613,489,742,016,955,884,392,540,372,113,382,837,234,069,465,921,243,137,899,987,389,381,365,312,654,560,499,114,181,128,838,202,028,137,567,829,473,805,514,560,709,389,129,052,077,664,512,902,305,244,697,943,159,915,133,309,363,523,864,625,480,646,805,715,757,198,345,195,051,247,000,196,544,267,577,310,901,833,957,819,823,672,312,224,418,992,009,890,114,218,622,321,635,142,528,931,141,910,272,885,283,800,163,956,159,154,618,615,189,972,505,495,842,699,196,305,170,350,104,490,877,953,035,988,881,072,261,783,467,322,580,630,916,485,833,106,007,653,671,512,115,609,648,970,947,748,794,635,204,801,908,097,893,250,754,347,511,767,848,586,632,151,871,780,333,436,626,846,324,101,305,721,852,641,423,190,216,262,143,547,236,665,891,756,974,293,595,607,180,415,558,980,190,267,606,461,146,939,681,958,475,331,388,845,053,678,084,129,303,871,238,309,585,465,709,088,086,282,862,404,708,126,626,262,089,355,541,317,806,794,161,125,136,600,229,236,608,618,012,095,850,167,509,592,997,882,592,537,855,450,471,613,551,486,834,543,645,343,030,675,947,607,224,851,236,056,211,527,994,924,046,966,054,697,996,266,062,727,318,723,359,728,054,399,328,602,494,308,417,667,652,656,837,563,848,818,610,786,611,376,822,851,611,150,374,090,411,728,575,015,072,566,947,206,915,041,029,963,594,426,832,752,630,689,613,663,216,655,241,383,098,687,389,799,109,179,104,132,416,684,032,288,898,762,292,018,037,843,153,778,767,059,500,834,661,708,991,785,869,472,723,552,219,477,657,623,071,213,959,061,310,787,117,185,224,550,511,056,478,993,702,989,844,194,182,490,025,112,474,998,418,335,519,401,103,382,804,295,682,844,678,114,520,069,765,559,172,555,181,593,294,413,318,639,732,263,832,739,946,899,859,183,169,730,413,271,550,198,727,642,006,751,975,540,041,254,444,752,907,812,514,431,251,561,182,180,701,281,976,320,733,517,924,531,644,979,011,053,371,423,491,021,026,251,175,385,732,229,571,841,491,211,673,667,678,732,305,078,578,128,036,166,863,588,994,104,847,891,464,954,053,579,608,635,503,310,091,711,724,837,867,774,272,470,104,759,735,718,893,523,972,872,409,434,066,100,806,044,549,916,425,176,407,066,471,212,837,428,470,379,906,282,842,592,360,856,914,365,057,820,363,089,853,544,151,559,487,480,418,298,586,051,301,603,926,274,943,623,469,607,848,794,316,802,692,014,421,821,923,580,671,998,060,475,015,804,128,337,105,173,637,576,368,601,720,126,281,613,764,582,928,203,070,480,981,842,278,336,585,400,345,083,278,006,731,629,847,022,731,457,787,569,470,259,355,602,232,575,070,841,509,004,274,159,740,247,248,112,844,221,897,463,694,526,240,655,823,932,332,235,469,588,510,295,242,245,028,968,192,514,941,419,085,000,661,039,377,176,877,144,968,124,402,098,245,538,183,819,776,777,582,420,646,414,068,162,075,927,493,810,396,507,377,058,590,106,054,424,437,394,965,109,852,101,439,656,301,749,907,202,451,289,086,047,972,765,689,660,299,308,135,822,429,086,569,522,300,192,335,869,856,627,432,039,427,990,266,261,280,923,844,458,219,802,620,402,311,813,050,761,944,301,297,941,774,266,244,740,624,757,546,104,926,219,434,456,793,890,561,773,133,836,964,718,806,133,867,578,546,835,897,063,595,969,870,294,103,790,099,413,544,771,399,776,552,030,738,932,507,246,707,214,878,054,890,377,295,739,080,651,195,460,807,182,187,010,487,411,046,847,449,390,364,799,616,471,992,578,708,877,109,235,032,974,284,876,638,722,376,711,908,850,703,697,692,702,668,211,530,318,095,194,387,075,795,619,484,495,007,148,246,440,989,093,863,010,577,415,578,127,337,466,261,215,996,841,951,679,745,069,422,577,481,331,934,441,873,349,717,900,800,622,499,735,799,532,470,760,253,295,447,533,568,719,290,841,269,562,927,496,414,021,003,688,060,203,356,398,445,562,571,017,357,882,907,120,125,484,091,280,301,585,869,323,953,447,792,401,616,605,332,334,638,118,510,621,946,241,908,672,631,006,671,744,086,661,879,351,358,549,853,529,019,895,732,875,264,088,219,556,062,502,993,082,146,746,894,669,890,257,827,862,928,056,696,408,445,441,624,919,549,517,373,406,551,079,427,750,222,767,048,756,143,617,956,511,216,183,169,853,637,799,645,670,726,114,782,628,299,133,874,729,229,428,963,174,234,010,717,632,655,086,492,306,606,719,671,953,460,356,441,805,197,326,464,696,998,340,380,063,763,713,744,158,450,417,478,688,156,397,520,485,758,869,826,718,619,545,037,026,821,791,279,673,947,303,419,215,020,162,068,415,001,983,909,822,050,967,332,191,229,028,542,196,315,459,653,823,629,174,971,691,269,202,748,777,449,580,180,871,325,480,111,270,431,903,525,833,156,112,595,336,939,260,710,784,756,630,595,378,409,124,007,838,920,947,432,903,010,070,956,920,349,464,896,388,323,110,893,546,267,879,769,107,093,012,277,390,311,969,270,646,229,815,887,419,815,011,161,999,148,976,673,875,508,519,671,118,982,475,451,859,444,919,065,087,852,811,209,846,649,399,331,836,818,983,738,254,058,413,980,273,297,999,348,361,647,271,016,409,889,029,660,913,285,803,558,711,324,652,356,801,733,828,960,697,180,643,956,593,233,263,590,001,454,656,940,570,280,414,631,886,607,284,732,773,408,144,638,977,979,452,820,214,687,807,646,535,451,230,093,166,185,035,013,782,942,125,997,262,794,890,694,637,580,416,220,792,762,123,985,355,043,137,942,344,792,739,664,049,431,385,540,084,326,979,952,791,696,222,947,671,889,406,884,506,425,739,154,627,359,325,720,757,862,298,682,282,831,975,258,744,170,387,684,278,104,094,575,842,144,886,392,304,719,287,625,745,365,233,457,883,745,173,620,379,895,875,436,726,326,990,836,600,915,316,920,146,408,093,492,212,449,667,947,369,257,282,908,622,328,379,949,680,454,081,712,032,879,286,151,371,338,553,271,686,824,441,645,602,821,785,771,755,239,590,992,776,253,628,455,475,243,359,004,496,944,687,362,006,515,219,704,250,315,782,116,645,479,553,133,744,284,802,409,245,621,554,467,653,734,683,321,950,072,984,879,259,072,179,318,323,302,304,225,193,542,018,948,060,985,778,647,325,028,591,431,732,317,130,053,877,688,917,889,501,942,867,626,873,518,799,399,688,636,685,779,478,254,864,193,791,020,986,578,388,873,556,965,308,468,236,522,592,547,485,634,388,218,682,526,549,420,064,447,749,735,352,352,178,050,660,709,459,972,054,737,529,696,556,444,167,250,868,960,417,371,347,692,874,740,304,867,198,008,146,820,477,439,659,834,037,954,880,140,558,176,002,994,316,049,717,753,254,689,690,837,732,333,134,958,031,198,343,872,000,015,861,215,789,798,107,124,353,659,991,560,255,192,083,202,574,313,132,338,855,905,113,256,135,181,793,560,684,226,651,421,057,691,610,244,254,620,488,016,560,607,354,666,870,486,588,384,590,456,880,278,273,490,642,993,833,008,443,071,619,256,434,963,223,648,566,467,481,309,842,614,907,360,184,079,436,791,955,563,753,346,997,145,291,178,568,642,973,356,014,421,712,297,964,250,878,752,622,500,728,311,160,517,120,858,657,025,895,941,069,415,451,584,125,834,149,956,520,069,100,098,867,261,902,108,608,686,918,546,272,875,426,235,487,033,420,246,065,831,852,995,054,385,947,852,540,838,163,136,611,794,226,325,155,976,293,899,382,792,624,096,530,654,609,006,764,646,323,519,694,955,293,486,155,844,900,522,508,084,731,735,109,043,158,532,433,605,404,465,407,774,279,066,768,762,712,485,027,957,198,905,082,158,617,436,747,665,305,877,143,797,429,416,848,895,511,734,573,513,041,572,485,586,820,437,978,163,709,491.992520802598649856
$ 3140343881879736922605850639944408412468218765978841073511610769114065900960474067412952209495437937087936217954282388330469100137545884619914164722221529551904666809644016250616917869570890702452964017843391784238924073752018543204319281923005518442816500006117641652702247441194710372384057115149194598232311244338753132463248454686085324316390114846559438164206394304721875736799359244347961056707671942134418472395305905384393674345144349392353277500830163421084802637008365546009172849164523419871206141673648404974299608699098298295862773013652571133372179169022665952459955575589035521071612456115784377922780144578400901116983507629284671177185089787784258129489036021891704443473523566585174456402245129750873189253508780000413883883441228753391359976279039043332517236105757566473665545982575939476454305684720524570134656962991866162720320706458262410645919797798480599542074628316003128569487188386212955675238569687204762607982802288105042003757057009580300105409070805088487369759632198091632847136409834330375245275486972375755422126101701097416792209742132317671529677473590673410865210190383899835502138634312237871883899745699847339261474974670405419233229028045628208399600241857647190378948310328626338217876327164599088587016484277282839448567984087704393744547584067518883483603214508945400110202072828290448117717477455106061014826584014179762106240623605440844306647329766182617371637641266501684577292089043070843453030688221170562293029421709639683737161055899627259569408891183048662754900168632269577218016971449849817405493514873133364360400442396180001392173920661402645886616050426777179876518627999695717234072266249216587650513681684920754204045751559225601071187971741423676462508310575525816866004736578447381343096899735401145157061648268849621656539766819704036620482241663232272267729106771124266990776570490440786933382252424693174440701352949058967966262637347099212618302641697055644063134868040013986469946812658426418911862540512140372764291463513704698655420929641975331833613506191991973678083090387437499856523578000690012455617018897977378349333762177862067005880077780099518126466295649454909918994101032816846407768614568034017214283657514629527430011034172308138548732600828440003745436188792832039341728583438701127959366665637067734650873580461127736287616366399132761972631787505622512916924050148467500076337583992994019922364470393215534756764839509910420601528592199365117708722042805955295034746656293185888914932043238570215100135720081709218501838694634366385773244187639856935499488872607417283806259338665754017660601295144754889565482292399706928476412492910452227523921465307304292052717921038452964075720350371501350256086239275283676226053718665875073610643032814929304410276359136894906076427369824210461868674796179256884914379891651880096946834755171727556520603486849248559930389505342161633644881742363042075099784566371942049132901691033244208228831854190633087202726112451195097883830486803356102890759263680720865631185851355125073795900715563361686556886792754578991419754109991422471533418478587370612617024683392844251300275554504115189767132336756361199432290163401339119426987411067186329095406549079029335880890998471384015935859643219736140909170212744833291347015772841909954974323438032065979609862992474547986868196250604431233329846412034433196736252881316753120752265374075023379109432020417007796892408116511834448009672558074565356037016633437206095301441018850601281331289292466331180061002579865025372372120710157035083343006914546295216329162503389831291931500323134953989900455239488471872821053629620268192508994363277600748304332660392056254935625535833265843955494905329594425429382843859108849585835969509742309772105181775417914989557906983376381734357502986070713941636824794813257250962041712014446090373825364088451560188136733732058521019681449434868787004853829889148496531984838868137950221398408339955953372247223111836348104326209642798186376271177828693282436372175171694347449886689396050076627986279075241081199544238748122157088537230261646739566155803548668673116383138364490235797653860439011315847383450522112240198074281695745026391348308242703932773234081781373448344433745533309528989810998335437837560630137334061746858872358969770521962518161205084315599083036264045676961233383805447606955934832123388166911708881316704939429322524871966591937060728200535013273746607291181079084169425345755695060037391190574916492234825853561418366053321005267326256589301680547273403206575581728630653236847497812058868847428071168494423292879282467799148284712914857606048394473512263003853061234165583813836817416853064821346897639525364214519134759078206075265796797253371625180081379217581094649379766601950974317044683499327103314246899038670213530900623544248671004345167191402832656726608295450718888768855930573278323291807950669190333384778331736649647398789101298335151590058080902048438428071988580589713645965425840320953670257635913953523458918098557968637956471994654481081366400153876399696151187486290960783208699627637829832795398858163468599047289142128406444511870629254908692490736824872070083278200159678076104926179227931995727751898314215698908055430601258365997354273245429012517022274587876716710052638111706161868918453158024545183607261604564085722280270814551879877246816509671439902361269007760514509687254492869358980909204744157065573208930699987124443552355331633674470572986500615960453134060708079369833973872937896936277423417683438285004520155249625308409912045869240375792280139024047503146418483020472963024945019016957035373379037177154466039353682435209345077321841828733072970537796148512959632467666199551623567380507519385420341293837564556107438584215629287026729183930312737685975765899795395530027716103168007603097310528086785839676702272999878171062387331164140907145130620328583542140717539708684973700668907310210210353781775035185505086810943870796032240988437266353001496736965208623970501236828047439474547869845600492467895287262823572319112043177162226893338700899744383478486624362931919073481852597092042526405605407528404109919326553467219036819878200167947888390593966825224399139666865756513494713667923123126178441591554489018030399766908291065661165726210014336675623487706976244559710446731855856278065226311732978435583328629251165428113858806827712738731259374859520561292196252924386716003588716633595340736885617362926878926134972688143471393895595403347759532809930888726671146292356635222692894588907869119093540524580991565263924474900005503930393412261021301910396057708235594068470373898147756549376649155757903382452812775896351192806525268861968190656321609617427412102940163612537647142750139761641901039251025922499428895402185568197123530606767081677991705826935420400423410209408189176786657456480109712898208100702169820828741609300451177195453961882337556140898284727424770117333544227112694268904373308748098334857965478297944834760766482663577837387089421166086598016472730655570053593109795187563900543977138352893383647545337349059210433658166328975099159155558870878333773504979760309963271685346878310516926304498941087566630078343774386337058999896149471777316677571045605491701128047128870389062268550551858181850814525876092952795421176365510449372312288289281876923454649593936494142479405182185722583989981410839683631626071132711412971119330550165210925374550123050492327806746122936887460918572094208239939807481194496155119443930673262638754477357846236804730090185112936985010946450341561479577515883664759474692243160451829609088301066388519454906425190699440086653053746515350463502280347729251563764552849117477614107409374371008435705411673564904350801535798867461261157873542106020824164726219016769484585935050714162934846311253112010979766335621066004570882352471023478464437634979509247877161048742503329458246417066230751510500415916537065879421658369145493045418273308728591637763233605739637086348327909703117220361003790117246660359436789348253837664368485299801410804611477623916026430904154919979159672988132436031985962457930499281232483869995152094302266132580363063764606841774552937547889046082255886073950853841880559674953229235341207388859138350923410725895347025138844226328328000221907101247588394339869514033542533874427695254718814103118210372374219431167016906406995809832219447567785509207197879358083994383958559179124961256380859456923708944992526001216443858307155938251526759232712605172826260914729020606795259671995616691404158534887888925594319335822185073772849759863218725676094934968528765702694779280767319386391551969311195075736343268063403005327480926178831403631237076456681922538556287261271849509199849127899020277397042379270689617613524808461666446004189766026689609669009692343984810192130427380030339983069255820421745139953734842618095766885585722263325574709998230084755270690764092838766917974800742232926649786466093273508055625707086470176448782054453463690548352823163183776706081175795168124764403005786815359897856006994094519974363531107926384691410142125505769665216004579651454462388167400146460751900040810467490590656520079238531851448752988845808187529784890475262534580813987359493293326118229364109400432273589476444663659725305889003429108208811250367899563916942560981100807702123260539370535011519598384322592786116528278445955445605164006828922192935193928575968940807273759137222601538940601661044825617066786049715744911028092101352667371899494942821625409642645551198017920193274941571909219597498761282950144591040543657716353412241576393168928076345993322859217437579379791895342936670565660772507610662444641590798222294433126129765474146473819576771369781616421507414256346304551935116183312563700492914084383052447300430704616003671646730141517907498008664831288984776266274800483860443080675218731903.66
