2,197,191,853,783,948,096,149,127,356,111,718,773,230,780,099,234,946,913,824,555,415,846,139,976,400,535,179,445,068,645,770,550,053,295,050,119,503,814,709,711,969,345,598,833,335,486,236,719,941,185,151,434,365,370,317,770,031,626,817,666,359,300,174,035,410,915,896,856,795,360,454,373,727,422,106,429,919,477,965,240,461,109,758,764,857,606,868,951,015,772,410,191,102,331,127,490,076,177,178,292,340,426,739,385,515,629,579,538,794,555,910,919,564,662,438,907,641,093,282,114,957,737,126,057,055,271,792,282,267,359,163,573,462,597,678,516,749,990,304,889,750,459,082,419,770,801,895,036,861,093,898,720,290,349,701,236,324,360,137,265,718,760,794,942,323,118,951,494,247,553,753,650,829,377,293,564,575,897,418,055,858,034,648,316,094,543,061,632,438,259,333,012,186,624,341,978,287,079,599,611,082,445,255,648,800,037,260,538,955,692,722,826,849,722,352,662,683,606,653,026,302,369,662,223,595,603,003,530,548,928,162,058,054,321,056,540,658,555,955,234,461,168,066,589,626,046,867,170,678,458,802,196,641,534,165,409,203,003,566,661,199,139,491,886,705,617,619,974,164,809,397,150,366,812,583,995,811,366,532,599,508,482,180,938,825,490,770,980,744,337,896,667,445,531,927,656,569,555,969,699,617,545,901,648,959,745,172,451,061,981,473,016,763,832,428,824,158,626,563,807,971,363,872,190,260,716,019,744,707,196,800,152,804,575,616,629,966,355,430,920,296,566,812,209,466,464,328,573,966,035,499,980,770,837,842,710,744,880,435,424,529,783,007,450,114,482,730,951,331,193,620,584,908,345,918,557,615,558,745,695,971,693,269,653,878,853,338,961,550,700,046,040,900,825,786,384,668,935,848,513,037,031,907,500,006,276,794,610,984,399,145,075,368,419,736,296,733,521,019,339,559,403,754,173,579,480,882,755,791,934,687,267,797,790,729,861,697,734,494,665,846,756,761,773,396,688,208,011,380,273,934,134,265,191,989,210,432,643,121,870,758,552,477,904,964,947,944,960,392,898,621,954,337,974,422,760,143,729,347,979,856,496,267,475,294,514,805,475,042,270,958,048,525,048,913,356,398,164,869,578,608,271,875,592,276,106,561,542,569,236,870,978,389,149,284,037,763,532,001,560,827,774,098,760,206,603,564,252,655,490,835,643,281,497,622,391,336,948,827,219,834,717,984,078,423,488,235,835,800,238,066,583,716,357,604,571,897,322,097,861,927,887,458,972,851,384,626,390,682,845,757,727,219,431,478,241,554,108,652,857,080,968,339,738,809,358,140,140,804,754,440,129,147,433,827,464,850,586,178,264,706,621,727,659,811,848,083,035,413,907,095,584,203,839,040,825,625,004,789,953,154,568,004,874,693,172,047,031,200,559,383,465,939,472,999,050,414,863,737,897,220,052,821,314,591,068,270,263,825,283,053,388,685,412,535,819,479,081,461,733,644,594,858,861,450,346,996,234,294,255,023,334,812,500,727,508,382,717,097,547,402,702,326,890,263,241,879,751,162,754,597,786,203,491,664,250,982,916,853,943,460,609,058,341,938,054,383,858,178,839,968,132,114,244,342,801,097,235,433,869,700,746,554,420,840,947,483,662,728,348,043,558,113,255,498,273,954,888,877,145,576,913,655,147,978,793,347,408,801,325,073,179,356,121,984,993,030,479,476,017,227,810,557,111,968,822,185,866,485,385,933,511,498,318,713,724,787,513,217,790,284,307,124,353,303,550,416,812,505,093,717,990,496,496,379,416,566,643,141,756,185,496,486,300,332,788,049,458,338,198,554,535,415,516,174,608,965,314,350,429,690,746,519,922,772,155,578,497,339,817,246,437,607,282,313,041,685,779,180,736,575,401,422,342,989,666,150,549,138,271,503,557,348,796,896,440,637,850,857,258,855,256,606,854,717,634,434,362,891,588,163,392,398,325,346,910,269,312,103,057,253,058,206,836,956,887,126,921,224,985,797,013,038,438,598,461,955,736,793,808,086,218,593,128,963,405,972,612,585,249,304,169,809,449,474,183,661,055,427,083,374,153,232,494,941,160,627,388,088,086,111,764,099,937,307,310,001,043,995,116,784,685,618,772,082,578,288,443,687,672,071,281,146,935,727,774,013,037,943,481,234,378,934,728,131,513,293,006,334,146,285,002,343,917,502,918,609,836,593,227,873,674,408,679,636,731,389,775,006,230,910,491,510,342,851,929,957,379,254,193,200,561,885,875,176,634,684,969,149,192,159,852,770,103,740,924,599,831,061,403,586,740,961,671,853,218,178,507,698,687,164,081,559,929,469,171,694,726,532,525,330,672,928,809,099,814,334,989,474,255,514,339,008,183,216,136,087,743,309,510,709,063,181,216,154,742,367,027,613,138,892,770,712,159,167,874,837,268,235,100,991,494,643,088,936,126,780,557,105,580,052,473,190,432,842,601,470,146,921,040,433,612,524,809,893,638,734,307,417,130,187,934,163,601,143,601,245,708,499,227,837,023,118,581,429,253,194,785,124,846,441,437,304,306,873,526,396,832,593,451,456,031,544,938,988,918,994,442,384,036,007,379,950,601,459,486,686,632,450,001,217,362,447,303,272,847,064,881,367,700,890,976,548,162,216,191,582,920,671,259,448,690,516,895,450,512,189,283,676,632,692,943,017,529,888,952,559,689,364,373,810,141,058,025,043,502,839,968,597,984,276,509,458,360,545,495,003,033,096,951,150,781,779,938,962,263,541,823,928,626,171,582,082,634,825,427,208,044,497,757,612,531,667,930,387,699,676,740,348,389,128,410,176,740,217,656,252,738,556,529,284,609,630,540,669,971,722,950,084,446,765,737,630,909,198,085,743,050,767,716,215,440,556,800,525,609,130,427,601,565,641,086,088,157,717,693,503,210,477,711,496,063,146,273,945,466,336,064,862,217,740,098,541,280,224,885,540,328,860,067,892,818,460,936,399,762,415,454,629,679,042,299,692,950,080,163,258,887,924,371,098,420,481,141,695,034,921,792,487,127,141,559,613,886,902,614,440,781,822,965,399,927,889,910,326,961,302,983,933,056,458,563,521,120,024,567,481,251,000,085,188,917,493,640,712,083,318,277,617,480,059,214,446,055,948,615,057,390,974,581,489,027,966,698,134,985,533,433,768,771,501,549,826,006,320,833,944,825,824,372,708,499,646,716,907,826,600,863,671,329,504,799,168,555,978,882,262,603,098,290,915,769,303,350,088,323,758,609,962,403,744,493,100,747,791,671,823,476,055,660,005,499,251,595,704,617,796,764,695,576,262,649,888,205,561,379,859,234,744,066,429,802,279,823,930,798,039,979,917,331,392,820,768,314,965,968,835,511,411,720,816,264,356,256,613,707,829,668,051,743,793,475,475,820,085,218,698,542,083,772,781,434,074,606,987,225,405,532,486,305,734,255,988,475,877,070,472,713,795,915,176,373,327,690,410,229,961,935,386,339,279,736,670,381,973,536,046,112,342,181,692,987,366,077,930,836,472,620,959,666,597,167,192,589,731,021,272,277,499,657,122,476,852,718,498,455,185,723,729,550,260,135,439,549,431,911,257,731,536,625,938,041,511,418,601,574,422,145,854,309,585,080,977,750,976,307,392,117,799,002,624,874,571,299,553,632,779,066,178,646,624,330,301,148,865,385,650,206,211,693,871,826,474,490,135,070,897,858,831,778,719,529,926,258,590,111,908,169,829,061,372,459,344,584,576,248,412,411,374,747,968,482,744,262,338,020,697,258,172,040,454,838,784,154,263,757,957,863,986,544,713,640,616,640,714,811,854,703,404,062,390,482,758,910,698,693,230,823,322,577,524,593,009,602,828,483,394,580,957,401,669,765,629,282,676,882,662,279,155,858,867,963,390,367,050,753,570,162,986,149,827,753,854,668,182,132,387,653,177,627,880,657,001,678,337,589,626,239,101,832,747,864,887,814,344,216,314,763,842,063,987,006,409,626,934,143,161,691,652,899,167,528,805,552,921,496,880,286,956,083,355,322,697,115,363,272,045,680,959,013,236,130,057,422,282,140,837,395,634,903,644,679,409,251,273,395,848,602,711,134,825,468,873,938,569,617,211,319,138,874,530,256,929,112,252,747,918,711,822,433,446,817,277,083,482,668,308,323,866,018,918,791,704,567,282,312,770,706,360,285,946,114,854,775,444,492,331,297,874,797,942,735,084,138,010,461,887,484,783,627,211,914,419,668,220,036,174,411,562,197,536,073,250,745,095,418,988,389,466,757,476,092,399,992,820,886,682,428,772,471,952,811,533,921,127,726,919,149,385,104,558,568,582,013,474,526,656,029,191,789,241,258,023,451,717,067,812,274,872,281,407,226,962,827,911,301,443,662,085,649,950,742,471,207,517,779,613,585,686,981,621,404,437,407,500,783,226,056,029,951,391,308,549,572,398,568,333,085,978,511,055,560,003,009,758,346,367,860,519,285,926,098,461,718,843,068,784,649,538,671,054,563,441,096,729,868,811,183,673,586,211,321,082,081,382,151,501,231,969,861,307,227,398,649,068,595,193,441,178,366,105,070,612,100,685,972,286,839,557,887,564,524,863,119,173,009,175,842,053,651,705,734,726,804,997,214,630,741,940,316,571,414,218,801,382,558,365,051,439,412,590,104,060,702,467,388,096,620,902,461,740,417,265,643,947,045,605,767,065,519,005,094,001,368,937,674,287,431,201,629,372,023,523,147,926,562,915,170,395,120,452,783,518,690,531,681,937,519,802,877,456,260,222,391,754,919,069,176,233,591,302,202,439,025,683,176,822,348,870,624,521,779,899,324,134,428,153,898,333,327,126,912,582,385,060,214,791,951,062,649,099,759,143,686,238,420,319,636,557,743,232,032,702,808,633,367,964,937,390,754,862,682,283,122,143,797,294,462,957,077,468,532,375,330,907,129,400,098,986,469,948,480,623,448,781,877,655,232,916,520,837,868,785,955,983,149,694,459,629,694,974,070,503,811,702,839,976,452,824,408,938,374,556,156,509,349,451,724,069,584,509,872,055,962,064,620,977,084,416,460,348,609,105,858,064,258,237,693,295,711,069,629,979,290,110,763,334,780,534,094,038,139,316,655,856,569,304,225,360,619,211,108,923,092,262,657,933,110,563,738,932,022,478,208,130,805,455,791,880,498,810,921,540,699,144,025,565,103,282,600,825,498,445,926,229,526,333,871,979,625,802,759,881,746,921,842,204,838,631,094,724,246,811,503,764,836,179,477,880,242,159,076,248,954,651,770,230,080,088,603,117,420,059,432,549,255,811,717,727,381,480,260,311,069,954,680,435,767,056,223,127,117,887,809,714,055,826,682,596,337,758,619,534,917,680,384,056,236,374,956,639,236,286,448,388,168,637,161,850,691,261,810,786,507,296,748,778,545,335,749,347,021,276,135,770,532,046,349,059,265,896,789,166,893,007,612,269,899,246,459,872,200,697,269,833,618,638,935,449,962,659,524,492,381,155,297,509,198,245,457,011,437,275,563,232,005,819,814,378,492,810,931,854,522,438,922,869,681,579,323,719,137,178,700,876,060,564,894,963,791,488,896,647,184,214,429,733,054,091,823,184,821,112,263,361,075,979,534,385,363,430,586,919,786,599,689,639,341,135,807,397,973,332,923,589,096,370,576,252,867,798,422,651,990,595,108,686,951,702,150,183,929,348,881,933,309,939,288,406,264,125,312,528,556,986,241,252,537,263,118,088,228,594,538,214,484,843,071,952,215,400,368,920,660,666,731,204,157,381,510,231,666,820,307,221,069,604,452,724,271,927,981,412,784,902,427,886,005,893,686,961,055,758,367,194,327,194,290,171,931,088,337,793,948,715,535,199,621,240,448,124,197,019,772,880,841,764,852,794,040,535,580,637,372,961,877,359,027,345,918,945,445,801,965,275,854,306,273,884,437,573,781,065,709,929,247,128,802,638,440,258,899,901,993,769,838,791,025,104,621,141,764,674,207,031,566,921,058,548,640,626,584,211,245,328,913,592,074,962,828,890,032,170,690,018,440,518,817,505,880,558,777,087,255,575,707,297,675,424,655,721,978,661,537,273,514,629,053,035,727,060,965,348,520,075,104,547,561,769,052,318,182,322,545,329,889,278,546,015,545,041,370,879,287,062,769,097,912,455,323,282,698,471,934,713,987,120,076,434,292,708,422,837,666,587,656,049,158,525,003,579,749,375,325,261,565,865,296,575,989,989,293,920,517,877,564,099,516,330,123,679,161,697,484,693,774,986,001,925,969,050,368,406,994,804,874,698,295,627,912,005,123,423,081,515,133,445,189,428,239,266,863,472,108,175,073,178,983,017,895,776,917,226,659,621,787,078,476,100,644,664,966,680,879,039,827,771,348,848,919,572,542,285,340,643,496,769,100,938,978,708,017,321,235,405,284,356,685,573,236,535,677,682,608,315,768,690,768,765,984,558,220,318,294,262,476,378,342,250,966,987,217,757,480,556,671,751,037,178,466,346,713,397,052,832,668,510,777,559,436,174,564,028,827,420,791,890,616,273,560,874,521,561,365,236,653,881,057,870,545,066,637,725,480,331,245,618,820,440,821,518,582,796,559,132,506,047,301,055,877,633,714,391,787,777,781,352,885,700,848,967,127,166,067,480,389,828,211,397,432,225,696,648,365,379,079,098,215,306,799,893,720,089,607,449,728,919,557,070,623,147,889,062,219,653,294,802,628,237,415,474,943,666,487,519,281,284,871,141,458,412,128,369,248,939,071,522,999,861,118,782,318,264,760,266,329,351,162,497,681,689,512,975,653,531,256,511,947,330,914,313,350,416,448,504,426,569,340,428,432,564,394,762,697,683,061,999,195,264,040,839,593,543,551,216,677,770,222,993,868,667,010,680,107,566,832,436,391,378,771,103,586,225,524,977,423,270,705,355,653,606,021,733,353,818,382,000,477,690,931,021,540,935,959,476,304,996,512,748,519,486,930,092,902,863,643,595,611,541,103,578,159,933,740,395,192,061,108,107,893,370,673,412,164,777,157,750,656,019,609,452,522,044,717,596,191,027,104,010,665,517,037,141,836,207,720,950,170,907,586,923,873,515,517,507,084,699,099,845,623,700,331,353,219,401,755,004,180,049,795,505,265,478,119,694,295,994,411,231,343,999,502,973,356,857,902,991,788,053,340,863,421,150,009,381,865,032,792,379,111,355,047,207,850,141,723,987,790,902,958,811,282,531,725,342,711,390,768,767,419,772,339,991,976,577,658,774,290,332,577,270,225,581,657,480,941,426,153,384,223,610,409,587,379,661,211,449,538,029,503,046,048,271,404,874,861.78391231251349504
$ 7552090763192380076748948664270785094008623867519524494216646198977533769118248921457599010112656160104781483567138918789999188599752849605856268261872399401213303905658754914478481802017444159728008086419293729471464271184497098034211580083065262795313979033768643209031491003436738411054955853017042815870473581523441747536733336808417245946967908625603351731812559945209598593656679374507479271253882305330972852127128128157149062485738178945790105030379862354703845407216995209055742893418386387306330569111856147567899921448262028544693051056675221292518954051240743892990518384951171514578067186779043734076214650276585123751674603244799639535461161755414481697309819159749266869652536562311083637288628118897461985327240184842887789514120331953065763719065608814969746372195924063137937050852837675917314130124639997871712133332878302557292162491327385099435592512449653237692364566774469841079807564062735768637332423365518311650875296498295121005068689240072847715628450170341260942934170035902376550750202429551400632768891943572190811399136689426027121709688775478233896226262419387486546839427540662144467581241112101514399838441390914670980147488960369475826447334117216121304953416993477470531071890922184170396244538147653126954703043097971069042281305852137817681455217642090449454304528909184495133161145105395634725645810610682411795325907155275859484026111405962040058978323001898280215330842818865101719711586317929786032642514971597579378340727530996829626745875526123526294242593778978143055970746442283915085432643000073364516030789027935039085668629276227154103392264498451216002601803772589408224468535005017849545277861953666877872782415157701705425103315131557185042478599847309109394291995728544779199857288872079956702152081078190994399247423219606756578924855818545573972983257751350871053770277341455741795201132110883406988262316883384700286137543830228144537212860771288947496585574087963065150841517576629676517583312324361568884810518597364443936289361766510307702125607608075707453373902002810911917722379653809621959038179189804884592291937877079570656506097454802047374773880030777776511807811542830470913258885870620608933623302352235974586844026633529960204623107640661095874219144362444243404627984438191580376817165934783684882217929106087997877452744299947023695510699193070685703028035129777409220695733871102331580258371418494500912808247245550209026659318093154915929948852119183211266136770820739164359962070000833681008170935388634431323964856490572425540748223256977341481391548309929600405906841524794559503180865027213505696496827955269706670601946895526774489824442197937805313445670317472311341711561795880111816285760743920922997926912744942955299047185779915185102001435815924065138710911183403862473997273054123193949038431998516524782472317712708195077711816831458203658648091608853954102239435512559719410659913942760653795051023202727569149753019224820915019877546058953270170725633938443487586004087896536102072684802655021046272415037513423098244057921258478519016033487372775800260928583436992480188692032310774685277553309708925310121264960056583522243475828792446920503180920368149385561847058366836587274965391204614278633987460982923049839214749148443499235363806615505948576411922844878930554913369039066811136728387884645091619440768353764268411965981073527937351861134651546508701862007461894006735219643720221023114353377537379830476786615983130782510034696586110345626750212923442726280024441111790166420988079978965696620427928929858312957002287077407846535817881777453640405208245021438148938668765294396220479733558571039399931470901723468277795759947835955133635636985351779580654461805400721486839572665218028223788391233522089540371250435417902700661736008179740699633087518178301897543414784975261803704447089748751558421872603585351637227194859236036546344160020026936429218733495138738887405942128942299134300513310084475714100362801988591220280670402484469623142446915457453453719305958804582741801758894064977318769048776025855343691042914112662499439480024712241112415453108594771119518942620368235883135877496917316002819024739615051166836397446223733601520883378481904848256537138155245931681322824916890520140848859020620584684163786169833571861892857145098725607432885903501916593494008881895615741049349035460222870531651871149203975049402062597475355182597941507301287124053014765034383368670599109651165182733223966350847224869788141955212157555795867804127955945910711091148356652848576517074751999829952503918641545087929757270815197745716908432726928516978876584039449273159340353798348270459749753433235950981777009225650075576637008913715808586603888390751228140680037238567974509841867857618030933411761835432452185132986304963239106797425328355846520135651798880216170152308769626977775279044198249986970256445400295254878416567286599914130474072525470978866289337621296014144927349840681852656905491647884829383972766508433143198242191911088306057484953329377077021694660009765321514985020142429931937357337040111251152785984715258093152670097057007821243941166538841524502496632132131779065655295242135360279471262308228608014367850666622622909351577332850923458696769760129014534663379483628924945471651164275736611987997997262266203861110127966584145949117791492788240201078054123035639102767984561209786011832601985366317610876376143170760852917142309133980179184680947636344935263322054360995343785849823368334125989416574717455161198542403770057162182061570729109012799334729651111370240855588913963863458830908791185293777718710502547700416508256027324041268936550120256071432811391489016924393039890135656407062678499684552322982953710131422190578636022521145147816218250854009092254836666130021064805325822757796261718207571385308680285173033228893195696777693290160374173018203727511297020248005019333155439707449289352314808960696011126656934192622185569869282442212098177815731447436842248554721950678266373082245741032563871000512902922378861339691633958643128779127824707381347801802629716736465197895324514172725902563872912729727193244213418076338788057662357820979993982599381177545356276756642989546364526184820857371368833177649524014383784269414317163821000022088968246295176555881435039735151302848904119107154854944807500122808266003116324252978569640546073385624328580120139881881537089817049922201745644380976894786282368565081123652651798589663569640055250801916012809943910385486226296619834181794688012428527888913477341750797367742951556989948332982156929759943398694356303605219596314247271844473755588541404092511135087391692488459999844418671494328728616613614846900150920498123188288613471923668486109955113313138382554761109676008966722374065920204948830912821428210515301874662170022076042414424494412629821401214548568791624744806162642150169815368262311575679812745307338651393524139227605760729369018167939621090037246057653950849137050225229936878156285568937548407713044249286856210268012558957424652957864891120914506264881754882070074239446022272423036685459526454640836381013122305267416772978033190969515105137579925520286715668694590916171100252164037913076514168851053069888696179218567485940821439332901014087362953131729012985693494681952602344020915708075385508068880735685352768193544405010974036771686738069148913149550869055559552932157558626018410663090585299366344724314511756439854633009905404087852140847965047443792196198927939903029379923234672457089940376322688616189770992632997430318693507196714169371696669504035619085011847030817738972082408893885854991893787834959962493837500853002831744046016748696198753632519278067750390110894371920305059303835443987416026735479517463056481602024920431668952277217633059238729281009149760987589891510189455609384398207551746606078628276582042094158900158151578553710265569114033706702506082449365143023331120004786971439978170217667945588884861134584294281854261071011678043311512564546032840936517071896463918956863458101204438750480227540313807137411916321766041824025266481731440418812288393222616769496065921286214481279072842290719520666360553977666993623716449438914834639962884989241661064624816877339670925628804370193634666060371573718403078368979011547229824782635423746146612981861420618224974210796650516026345977443179517065515460694719597615744715853280527217021234730011098710563459116163328652003725051078538317114555381010876096482272664593372107200197694925659514774193272505378796039759933645239754274972207149297550868406026864061654426319511894686139597534763661662532223941358721253153845486501101039591861888189426071272830805624903697731379906641298065659123555653787528227827521100069770375612662730128459201392913967494819856649197784896167181660695948198159340637198353193278705552648696408059002634780628276399547292678941500668781281028680788976080155845870839212916059176623610853555062461058149854159430591038818672988588263670899814718908980963160135772298519772601557388803621378080121915624735886494123079805791168821116502160453143420851977370541328308734853060963018530689783947177954060865692219156098569851854007413536933534135055454212408440952475654754300148867590979033329526562074779825430912218282861753546914405150730586657147718948574314138790000579329410735056385805498944750181935054953437813485660804031748772463855219202098652320916006193043889597141260930506166069870470370685722050996472981948309953919333256192014564457998990023997298612702218894560885363540913922511230426594313294565030426597380352267425292318481723444716138120563582735713089662022350692896515636110907490680348617041072146660112525729037318171683991391948435122464264361201613823472852586683761602432637245046818369989576767960436245850150942276403581984034499821491141887618639218590792745427454607944298029751336868122602444877735298615519073591939976.47
