1,427,491,156,676,272,326,709,144,185,821,686,553,263,019,607,265,305,096,523,899,175,632,533,049,915,274,057,634,655,034,779,960,053,709,916,146,677,309,954,757,064,874,964,391,135,065,897,843,161,579,145,643,941,120,472,738,847,060,407,831,339,640,045,837,790,073,001,608,080,200,822,443,963,413,524,059,311,749,815,104,829,329,127,768,989,631,689,568,074,323,178,503,469,294,989,070,119,899,381,292,782,236,896,908,486,696,146,181,468,616,590,577,964,724,192,455,516,967,835,935,097,058,747,008,272,677,175,314,990,560,250,891,845,668,432,927,584,883,622,282,177,209,608,657,264,563,754,199,226,922,470,777,083,360,622,509,148,897,478,978,729,723,282,077,833,154,627,754,639,997,871,832,199,620,562,866,036,324,812,014,784,237,270,208,572,060,274,854,564,141,245,838,337,532,550,172,646,960,363,330,400,143,312,130,122,842,419,951,290,984,594,276,538,050,141,163,606,610,910,064,119,884,906,621,934,372,108,780,564,886,224,494,306,294,195,989,570,957,166,023,479,293,115,134,651,154,917,975,051,430,958,216,507,827,133,181,618,478,745,003,215,513,821,616,826,013,545,919,136,278,301,849,980,467,551,797,985,024,134,759,250,049,822,856,390,678,668,038,921,731,774,165,512,178,010,430,792,274,092,097,601,641,755,306,325,596,668,945,229,615,457,726,892,405,591,444,767,869,627,379,302,360,192,420,854,758,772,260,224,735,823,837,768,169,981,966,407,856,076,073,110,654,974,577,511,499,183,110,167,474,331,210,435,133,708,346,119,412,039,426,977,949,531,819,802,902,797,322,864,530,093,364,248,680,160,086,838,213,624,322,550,838,926,320,706,114,012,672,900,027,469,738,948,889,380,611,784,332,548,593,263,103,963,042,948,477,012,684,067,087,596,202,135,679,913,734,606,908,168,727,597,334,981,261,726,385,135,883,594,549,012,337,781,001,505,819,265,830,911,434,882,912,198,066,805,929,886,761,581,005,266,844,472,594,629,373,397,986,869,019,022,938,589,769,614,989,677,766,581,353,443,763,583,264,015,079,800,982,916,365,836,591,412,899,686,914,947,022,358,724,886,987,983,107,356,427,755,660,074,070,232,551,006,382,193,277,970,706,313,585,197,687,794,779,071,525,382,124,103,125,586,039,261,738,471,093,595,612,965,449,084,371,346,212,224,220,420,920,598,213,602,908,077,918,192,772,969,884,942,803,188,076,034,948,190,685,064,096,368,533,616,541,874,413,520,278,181,652,375,945,876,982,770,794,297,941,412,672,478,154,397,159,583,637,508,171,155,841,070,150,702,333,180,643,849,780,867,335,702,958,937,395,605,753,479,353,869,171,873,694,862,071,405,555,886,252,201,845,720,531,562,785,959,891,795,243,219,200,414,545,223,523,073,291,504,020,990,020,898,320,086,676,119,176,161,634,396,826,073,284,508,938,665,120,669,670,260,631,650,399,269,334,057,814,437,199,418,148,101,927,814,153,194,057,895,507,552,715,213,637,137,852,282,400,613,897,645,331,622,882,108,701,512,664,426,125,480,891,087,925,717,386,747,006,577,649,882,384,516,743,029,256,248,655,941,422,695,727,932,169,887,171,870,334,736,806,502,913,033,382,355,130,593,111,772,993,398,542,485,235,430,396,865,649,813,929,898,127,837,421,933,424,797,975,531,097,541,742,227,527,456,650,449,187,406,156,455,170,032,639,358,308,834,304,565,909,693,788,411,086,424,144,717,597,024,733,367,532,063,037,031,966,575,807,707,799,770,944,553,890,901,930,600,885,323,109,064,478,402,624,768,786,024,574,216,173,962,781,767,615,291,838,351,807,115,531,620,974,120,996,015,304,214,860,285,405,662,294,252,137,477,052,293,118,494,941,753,927,373,378,226,840,472,011,397,544,734,247,394,635,428,643,987,701,726,162,973,116,125,296,229,481,611,804,855,276,442,946,728,810,475,749,217,041,170,580,093,805,987,054,871,785,188,755,176,114,842,944,860,876,023,165,184,382,699,238,716,747,238,154,010,847,747,278,199,952,613,219,915,548,568,928,194,563,557,155,014,213,917,743,631,690,382,396,291,844,716,947,317,235,016,142,449,542,636,062,894,650,943,820,530,336,621,027,718,200,360,706,429,459,720,515,985,423,136,636,792,371,915,408,632,921,444,452,835,789,483,798,557,001,043,585,949,875,814,825,480,811,569,684,863,742,327,926,786,806,201,159,809,389,601,008,203,290,955,729,177,136,568,829,584,301,893,293,502,272,989,467,878,621,676,225,299,966,170,151,221,963,048,825,702,724,159,361,593,500,783,089,458,400,182,896,349,010,499,644,104,160,104,155,968,538,676,494,333,294,390,465,013,244,603,084,500,260,101,404,171,907,394,508,546,292,988,616,969,912,400,025,275,487,973,788,234,590,773,374,717,738,757,619,427,343,799,040,234,349,906,616,259,983,350,529,705,458,302,734,717,914,693,226,918,341,750,851,451,799,672,306,049,859,212,155,574,016,642,230,076,804,367,468,873,692,752,654,623,684,952,107,165,217,774,672,377,213,595,851,360,644,439,542,800,381,846,879,724,409,432,876,147,690,489,124,005,244,145,912,955,832,361,932,333,976,546,002,138,205,832,252,806,569,222,854,293,546,188,364,575,840,723,455,052,888,158,173,631,163,781,972,403,172,885,099,751,339,423,589,473,124,756,409,722,463,078,585,300,698,509,988,500,954,279,823,911,455,090,483,937,803,332,163,652,118,503,089,127,133,672,394,528,230,982,712,882,180,088,627,353,709,122,133,211,334,039,007,438,345,088,352,946,367,927,519,939,236,655,619,732,210,272,278,713,707,781,900,321,642,822,289,264,588,305,213,886,010,203,093,356,039,499,703,358,817,000,631,249,359,840,737,996,944,385,844,222,545,198,414,780,298,704,668,548,701,768,454,276,591,105,147,325,147,944,558,276,461,586,378,323,619,896,034,111,447,672,410,378,667,182,137,671,676,185,325,088,207,784,257,488,259,843,696,976,999,140,707,390,869,393,698,606,858,444,993,887,151,908,482,337,643,202,910,940,420,381,315,804,605,908,839,517,930,740,002,379,743,178,163,177,387,140,681,948,471,714,412,125,323,676,022,665,718,572,382,287,705,368,428,214,293,309,471,243,084,743,866,590,182,274,974,778,007,360,491,237,852,788,479,917,536,387,384,742,662,067,367,226,471,528,393,762,272,711,536,014,838,805,055,644,558,129,728,297,844,196,504,179,792,186,359,197,239,122,018,235,523,555,068,022,867,124,895,005,062,880,880,140,327,597,686,853,510,727,121,114,533,108,529,643,784,006,398,635,198,544,738,709,860,692,515,276,930,961,421,237,061,708,591,442,779,985,439,671,480,724,489,968,312,195,832,707,249,226,986,728,546,396,588,016,488,047,738,847,390,250,016,278,394,382,857,276,958,299,045,810,046,373,400,260,228,098,879,859,551,651,090,769,411,680,785,031,035,380,098,004,287,692,499,512,321,635,118,561,082,584,555,882,118,602,577,413,385,328,934,525,231,761,631,512,207,637,192,599,815,335,660,419,955,722,249,999,965,839,501,640,002,506,700,786,307,546,485,278,051,174,984,750,846,390,380,046,442,704,808,172,925,000,121,707,136,267,413,025,874,985,753,449,633,594,292,747,863,226,445,083,926,345,067,205,457,619,175,814,326,282,917,765,343,461,952,773,668,066,538,051,053,486,974,258,483,023,335,913,495,361,214,197,012,301,207,428,624,213,340,057,255,848,524,075,937,227,935,888,880,363,162,341,486,457,167,935,344,006,418,267,283,138,088,866,185,898,687,209,048,069,274,119,032,000,724,700,565,728,273,699,805,437,026,839,540,932,513,374,633,766,365,215,568,622,482,874,121,424,611,663,167,613,570,978,656,799,390,838,563,112,096,219,218,203,819,197,112,862,939,268,416,636,933,076,922,756,912,267,685,873,335,352,226,419,800,634,702,227,164,046,530,106,358,824,515,986,236,454,730,858,621,914,544,071,035,308,255,185,906,143,095,365,071,703,559,580,129,070,245,041,177,683,310,383,469,044,266,247,847,407,488,858,212,309,133,584,990,044,096,498,320,922,327,376,475,166,989,321,867,945,430,049,769,601,373,271,127,427,409,526,890,622,279,349,048,508,117,698,926,482,334,415,043,136,422,916,137,968,733,977,572,404,393,785,748,543,493,790,714,944,888,142,136,345,199,481,746,836,500,460,954,014,300,022,368,479,622,078,447,661,342,600,689,164,832,167,086,931,634,103,531,095,313,046,722,079,774,333,824,446,111,941,281,135,892,065,831,264,453,017,596,949,593,047,735,165,627,235,308,789,366,056,532,994,399,974,184,887,113,641,006,243,585,685,510,953,914,840,423,112,410,356,047,835,282,533,002,491,176,755,103,319,207,197,096,946,035,295,712,986,772,850,772,603,748,859,689,533,092,969,722,812,761,280,610,571,065,558,139,571,933,860,300,930,745,025,795,186,329,695,463,461,300,353,709,791,429,481,582,176,799,618,941,309,135,460,608,143,176,814,592,486,501,925,219,483,154,599,315,787,690,671,942,903,263,009,742,126,566,769,787,758,633,893,673,822,537,457,180,219,242,195,742,158,168,696,542,840,672,207,154,759,135,959,572,942,940,129,086,925,193,313,326,640,123,006,465,420,629,946,254,077,883,625,417,380,444,939,974,481,795,765,289,157,242,750,658,513,955,063,468,693,740,503,176,283,037,899,078,003,112,391,460,089,405,059,510,298,503,065,383,169,928,593,209,400,780,063,329,054,580,796,266,283,097,945,876,256,358,541,194,359,339,818,445,097,115,819,932,877,473,196,941,697,844,961,043,358,038,957,835,714,040,198,207,333,838,369,374,623,859,846,644,567,918,915,885,930,723,694,257,582,552,885,351,914,628,734,571,059,464,223,440,184,683,733,572,919,958,945,169,240,891,155,037,898,728,447,369,192,574,386,832,408,377,017,322,263,407,868,680,820,430,746,916,419,588,049,891,865,061,983,201,188,611,576,219,513,040,403,391,815,186,475,351,185,159,508,727,344,467,116,763,909,924,627,972,271,082,353,288,131,746,991,651,000,542,592,536,509,240,894,590,430,763,360,820,721,916,270,808,834,114,032,834,715,815,469,773,432,305,569,234,671,850,917,765,831,398,938,792,663,634,762,370,006,210,815,131,862,529,457,502,053,147,720,150,212,208,630,301,274,396,665,425,532,911,626,872,154,670,453,542,236,523,601,780,569,218,991,824,379,840,287,188,062,398,559,773,800,810,318,536,287,598,812,072,598,599,145,733,752,837,919,081,995,541,101,354,847,243,054,116,534,326,133,524,543,357,699,684,528,368,623,321,427,623,597,429,369,431,066,473,842,726,879,040,657,464,093,529,898,489,630,813,270,934,290,325,418,853,742,633,730,738,706,932,105,704,674,548,492,332,815,704,974,723,498,730,882,174,309,927,249,803,139,215,358,877,464,224,929,987,741,541,977,260,332,116,745,597,945,199,497,807,608,967,262,785,566,995,122,049,735,546,138,275,194,885,683,073,647,701,979,898,936,166,820,407,672,652,857,489,490,080,039,662,477,529,316,613,422,564,669,021,562,743,046,909,528,599,713,628,051,832,220,064,838,625,296,820,618,786,324,181,566,982,482,706,863,367,478,341,001,934,283,279,138,129,075,234,215,940,713,181,877,264,817,532,181,140,071,772,676,616,032,965,415,522,395,491,550,367,172,996,050,610,980,387,631,058,545,890,647,309,771,241,686,222,349,115,110,917,444,869,018,649,407,879,908,421,274,344,750,168,593,983,192,179,251,401,784,669,051,065,043,926,688,514,284,600,310,924,830,210,053,469,988,328,300,522,237,310,026,798,680,350,595,481,108,108,834,228,352,776,239,028,229,200,118,344,411,391,332,036,358,744,352,715,629,149,751,771,793,536,483,564,204,442,424,576,246,587,721,490,582,897,267,048,837,572,359,231,299,382,737,680,138,624,429,095,805,339,715,258,948,010,595,721,836,170,013,089,397,982,813,713,234,514,901,414,011,676,721,887,003,274,512,575,458,783,949,091,075,360,662,573,113,581,065,547,074,400,944,225,223,849,462,550,379,082,838,236,558,014,985,070,043,121,972,135,086,434,930,789,162,057,181,918,321,553,768,955,069,220,707,802,907,299,251,595,910,623,361,273,318,983,962,642,146,266,937,826,074,545,100,758,302,779,503,834,824,456,055,167,300,969,451,023,871,663,133,787,942,884,146,152,709,021,972,896,633,681,326,146,356,185,278,060,867,716,786,782,145,096,858,091,014,881,621,532,857,302,638,734,139,525,657,375,924,014,417,834,742,939,949,299,978,753,424,498,116,886,009,556,952,286,714,088,504,580,047,245,947,405,184,050,664,526,429,898,080,542,670,290,778,802,086,414,921,421,579,952,210,671,865,270,115,961,886,475,201,540,479,225,145,738,983,233,592,764,545,519,134,108,004,234,426,134,062,276,128,625,133,001,783,514,493,729,793,617,401,563,086,618,479,790,446,154,113,939,604,355,498,357,696,037,532,746,494,018,791,835,264,519,825,327,324,132,317,002,145,213,007,246,535,113,763,841,995,764,589,471,450,576,079,964,170,285,212,504,122,108,278,610,417,909,006,852,257,216,382,372,950,165,646,774,313,671,185,419,491,782,031,393,263,228,224,593,886,326,513,599,291,403,154,768,401,663,161,742,910,412,703,659,682,139,017,006,792,185,433,855,650,532,947,053,379,411,078,191,237,321,745,128,096,250,676,397,855,921,062,239,412,798,109,231,987,461,657,555,976,879,269,648,392,210,151,182,580,154,946,728,186,749,043,184,017,423,818,743,847,969,729,575,915,058,545,475,411,188,465,187,581,410,060,571,202,383,473,836,386,005,189,392,840,528,182,645,526,807,881,444,742,962,454,990,787,160,042,719,205,253,175,093,528,380,767,137,166,780,283,739,388,957,856,549,385,929,957,639,385,075,229,025,179,479,161,605,970,405,734,394,231,718,414,655,710,445,205,891,325,194,711,827,202,364,808,875,700,130,031,954,150,727,593,871,117,235,599,725,022,227,632,491,766,471,023,383,923,036,442,305,159,787,661,870,265,901,538,744,288,117,314,544,164,016,081,767,679,630,189,798,988,566,547,070,029,748,358,220,763,315,804,538,621,865,587,204,743,012,391,673,454,666,537,172,533,228,878,732,752,573,131,168,035,494,772,727,852,818,951,664,970,628,501,009,206,314,796,069,884,243,959,822,368,617,272,016,263,646,930,456,895,720,298,878,236,417.443710961927061504
$ 5651962952913720450087514959176128298602169171225279233416994207575709127949324503516085289173417396430447202276352681877079123624686582970374403077707469913676800159040720471793401509380859881008989070747267709208484035938344032745994927079222282408245761629477898907859619752215104084861544726598001427200809837950503428927889123896284721196754054360355016583081272490293224410895199833666136735710318818308605510795536585117167505652715757062388934844946924038689538306365534465568079928512202049305294858155107226596025029587973045629371668618600587104148827932216157207893772519413928062647060621308329304325772265746607865224839573268180445744111419418537675492900292898679974235140064388013012808670887195052101784553591557126014733817747851666533683527751455106900107694117458351061258986484192423935567597659302277811572214766892415839087876155889793675004185954848244885020783510095228616823854069372065754225401586867156355910934902494065520173391436421491740031899448116958525581725051042838631120824193595839775409178896921719073271899674483209416009344786845358122641769601548768544641398287299767106769372828021135080200369386820414054513709459474234871871978455831155420460951777178663373038047899295893878855130001608774773305819083386546631357533585714163731036293430793135980079814396778250417003744102080535609604910299044293174115631685809361965702659235412395336057529746768895095672458214855749064648298776977291595072979195161600237028353521775900670931999481439635966645916743272965089269174419482282929746883431027967558293638690223393051727080081524474704150751540779235118901911015781328587213311403758009931186610498625834582460443279151952374327602239248377495723008603899531614298955090004925820101836540089455098132129773340392885835049194081947421889221418515103897110572775755408118493318619166958663272603398081417498955485116340241836553748965208980918863892671194681791201774665582377694510510640625697926942344346072116459085612249080909966090866878141724895286344127934949662168060849292850873705357408494547633572068412811151357499512999671635855549141551059026269587276002733995426718360354983567068996979117926827582106706917031864334854965035033817527633813786661930651730829592680407666067676817661351299643517007651048734103924966458747000942976491856079775441053844617623383589552289056031963774448818935895824929663287287775719977464019635887081696230791189581652336999617206801226842399004471080528042605723586968032586386396281522905640105789658993287557995477193683249615306439189060257735437392449738445589022993672086434221050599618508224134375219305286872312786063829624414604203940172206389562904920735636283559532224483041226905694061764575001373968745663958197073970565601282650297725295992518081292504427373599329712097798696013780352073374717366554748891148617727694845268987738354409445658687401766500961151855388455944199909448622004335749357313593544368183504428820305659886334842907271936901312708332016110289158728025334576890576188103734591549466987306349418317328263625707278958115966352257675562342289765965796884301705394291556100528904662919915486320400505250712694072015726993862123380341596321225656557335611152279355918054912985522623992759941754688316131748684089423274814773193099215748033447953547558530501184205366504900190730809704799077566910741532455070657939314309042524076258904825644129908347034676551929604549600910881019928908407980608758061930649901086202947146553141661730906638454941674996762851596102496811618709188179765753740081580127244561717048163427563165086895060208722052390568676288121832073919534047664124280628899507781323276795725804836884316599656723940660137693255012818524009441170350688948143974607228431268960729043510880369778660640130091492442668216333775181700195400328955634319115296096301891555802786703017208327302319474026133932959066029075849309036302782799115978587810373212893328901059200624654417513585356700770065722076042359219505759904935142317456739856909483077369711177298300919696548154810558969467347020065987336199783941688639099470409675089158539976760729915642534741906795994438864582007397867582219151694222512204377162446157297659423913369585839654506851826607168604407086183496561668666624530521049883359434426014844544749844948341844675825183154564087083808755163528042748497080722002711599368860713104857918630086398531850203541175338120915253805812011888784600643061274715673150390412431390761420753112028024609054857572039532414350804496415318424529214415292934888597802872267660266896080250181973855028864371254573537397486099994608916488724847832905180258768305702403478073483422173953138567993450386915387072470194638748471922974792578913120352959578152479680843708649919464101414595581516379776261125660585372088415633417945375735735048474562960226631307136335140201617879470976840915125052142434728122495606260830072898237910397271309276200487830811618004315023914507137840934554561912981453815601452521530805676081301798356009395345147258239323404553449685814074425861932893361251038012630721278835043775655708699286810236153331482521821570192317387326805281430890057854203415511876930087061165946644073483098049143262862495720117052806818161074311258239150773525066366296056841412536864849491803383105171739289494092799501222640625026577823510683999893060605090065152393403142416086548061236676809249632745079585478218979196396842291248108926547135193329559601988854985778026586571960205460017096374651258038457416105118078042471088524878570829879734927183750720158466157696175604385563906159202569227355060841339640498351580663704500922407451183533308246989026535003781278583111574805372937033005457118114231451599110066212832338652535279845334249940823557881571210970158477028340693783748839692942514640204295068966568033291617783312422148801529115461932761947061326074346489108335703906963647247612003547081858866930599954254758027411417083699470404884854457394710496942386862743908130721423946577627181780966121305418353771926963701868159757928984267853905695024011524063348404718234230753077884833318649830934663296820693103377524689846456154995290437230316290898517052795179393724747101210188018282958151468606946724667559735445998133425374390350958327207409305847217101894307509464058475490829545725150650162706499782155356460263679959120522242893753601980017298382784848838162223896113153051013067627451993799634259703304973267120037233738316814305589601523389367689005920753677590426805655815216782945818014544103168805714780639233329745404071846648359881818599482525622154948136608022919683463380404904760967404839903556256004619566548943478540421387524403371912534770481360754259912349557779206200126539110716672457200679549255579934753633031337826174627847132305496045989502927421886458740844594838060062890232649348040497774757694558976651581792062956247314761888717576815458412022973393060417362306088759567244545963187088814525147960667618694998452225055726793776821881510209782059562763754406712975682550864773338146923031349946268418118363637853103556949646494685949947493447784930321306617647643354791480118511501883553583135315982570781336918200582160764533985377150931099222935274290529221954920964755066742322346110212906547363635189447397247329117490880651492734873419185854966945440178145281771502605886244406677491284185032680057685353145053622369397756283030041871877151027776792831375504399350950711820092226061701340868898437392923571102509942172658993989798990443063934255060342303055244462824989703640748517180719044156327880298973267861467738281277456653571117894500391322022560026233090070910477259755503632069455455152334656686822634412591583863680316628037666571649444031862286396267665230490207714035126055942685525853921516668494427769614459761995818447322288647320940970171638214751547027252919912483269133063613374650149749720186186013854504618847090054054479246968861105938205457602745059446363781885107403910503591984308046149184081894279313801797386274799303496297053808783973802558521658797630015337166638957956665947051981615217440525744480483528041479630142898010732099198013601858047990228195254416417743893244091227893923144597416515195183416894652229166323009433482138784745777610583918954016018367559731186556023730493815960887246565323316581991013418989749402178146650413837672426710578540718259257966883242664135002314242320513582649872075714230892703723143443292881801478188880455385978876582590120766016745404203963115208111464607031342550860609134304531520147555608338638272855438889057716343099167877776476303030155939196998174013969806943305915748926100055348290126404869690349428318479908662715271060965966478119983569726770062045379208917254446181985934695546408322185262120304936564019631063789069541590968265762300894782808997964194305924637048935789624347561198534780239041995377134595236839574782698748858871598034724262506167288632177082491485148493366631058827487854341739961622642034320229464129638121877745884387791281627523722418277049737845734757395266437583463631016028181988396611903359330306680594567194372204433674061466604576231918521699315675348597837743710114794721458690385659834067085666840658279853098415224839149882683031208182103030739911701230363354488865232661543175948579811870229154917422991829513642677338977340746565930306413386060044120717414147090189898369753386315916001839839408816405988798434436799716118609711707343376302896149974416072848514788768107006959238263318038388048510347776864174629173547287783582533043699708669301890938309755203525019558932276703807015357259873735907003891009038845012199086055058162142553361055472589639422047620875145914533191739039184926106516201086482435313982437266858413957621029303092371878894265627596490439929895237058477980130007458512665321239313403598701394615432340636657407982954003358242528084438600378778413258081530.11
