643,521,360,266,497,104,125,160,013,839,884,447,723,089,313,904,882,205,290,538,206,595,971,328,346,696,017,207,593,447,851,838,058,516,209,073,171,221,213,950,115,648,853,336,592,446,811,933,072,308,522,476,084,041,835,017,151,742,008,841,168,124,705,039,734,917,342,372,581,893,722,251,847,167,561,165,979,823,339,139,622,504,584,675,450,015,060,197,135,740,087,015,161,195,560,998,477,764,204,040,982,810,359,363,754,779,881,009,970,967,501,457,174,691,766,428,997,708,425,389,977,458,540,036,750,237,726,372,234,148,914,233,006,325,250,607,161,348,545,805,751,428,339,515,057,930,946,798,137,014,734,679,071,922,638,513,123,306,651,538,612,567,083,084,984,283,600,556,367,854,940,631,943,795,824,566,167,280,977,485,779,425,898,018,597,989,212,826,388,197,917,182,476,103,578,228,508,887,494,891,361,556,148,159,831,221,963,023,304,867,043,845,126,699,519,211,355,772,086,310,862,652,188,513,302,069,926,178,442,314,721,828,738,469,417,461,537,091,112,465,393,440,235,014,533,566,768,182,650,886,771,612,889,811,988,652,166,446,831,005,901,865,609,465,655,764,956,945,390,493,603,834,657,224,932,546,084,228,745,563,924,433,150,887,702,911,038,224,349,459,384,695,623,509,796,185,564,591,739,490,723,650,582,660,957,796,733,141,535,371,195,109,238,382,949,462,966,207,050,200,416,034,827,858,918,021,308,268,034,728,078,654,689,997,634,778,297,489,253,668,040,372,752,947,129,482,115,786,461,573,971,664,336,542,140,683,542,019,447,773,665,771,299,687,405,738,282,445,558,365,375,580,806,631,652,455,405,253,575,756,599,393,210,349,964,733,675,768,698,281,435,836,249,859,453,657,652,741,760,083,016,992,494,887,736,846,767,069,560,273,423,734,580,871,665,779,073,993,168,880,913,932,995,664,009,648,792,937,686,978,893,872,727,829,132,641,666,197,054,672,118,765,845,921,827,813,372,036,799,173,884,958,115,159,905,519,880,047,655,194,508,538,828,344,580,181,986,143,835,514,714,495,363,463,197,737,413,393,379,462,507,046,325,029,383,576,936,953,319,986,032,218,786,015,232,619,344,050,219,320,274,463,918,272,024,624,044,733,358,119,087,419,704,640,494,466,956,290,531,749,390,195,376,235,833,860,528,493,791,535,363,222,084,256,899,019,422,725,279,457,212,350,292,537,325,948,800,597,535,060,624,929,385,477,176,289,937,339,961,120,404,652,680,152,458,064,924,055,431,168,777,566,167,651,798,211,481,501,845,976,063,825,003,792,419,435,434,258,012,972,152,090,803,863,092,277,179,824,521,563,283,035,741,686,890,725,441,636,609,028,949,949,043,554,788,636,377,234,892,946,689,390,743,475,634,293,880,628,257,795,789,629,865,291,369,115,386,405,821,930,890,383,597,596,963,118,037,672,736,858,216,715,814,693,215,805,025,946,601,857,267,542,361,725,430,818,633,462,040,617,828,510,250,681,398,827,426,454,918,508,989,538,891,528,743,998,803,185,872,044,241,905,572,049,946,564,167,208,704,945,267,217,278,044,849,566,268,726,928,971,929,871,009,592,707,550,885,301,407,135,501,919,893,620,256,675,305,492,984,062,846,154,566,175,748,535,852,271,495,570,948,828,216,553,144,156,538,466,446,213,962,717,038,064,889,167,673,554,422,907,203,792,982,213,409,495,800,392,184,757,462,427,402,056,486,218,420,209,325,320,389,811,321,841,818,103,944,462,839,856,881,433,570,226,962,892,120,002,559,520,752,476,988,879,479,783,279,266,773,824,785,660,766,952,833,060,678,974,912,550,134,353,657,355,042,195,572,114,973,100,470,948,218,593,541,891,560,074,013,866,240,404,616,868,126,281,712,663,115,948,365,493,737,090,275,082,377,246,962,452,333,038,073,383,196,631,762,605,239,668,341,136,775,633,685,164,621,101,670,829,216,489,274,563,056,299,213,707,543,700,480,249,282,791,944,088,344,263,756,050,521,601,781,909,179,716,967,280,604,634,206,360,263,848,970,215,615,208,341,995,906,692,833,096,947,474,535,366,101,671,282,505,626,978,601,877,332,487,395,891,771,776,806,525,191,131,075,720,711,587,625,687,970,214,005,779,298,647,130,952,137,584,758,770,726,092,212,928,984,705,814,374,192,109,309,875,320,044,083,909,746,371,117,650,037,110,938,569,637,814,061,907,473,382,695,903,341,216,657,730,294,142,831,202,494,445,956,988,166,653,920,796,746,180,236,200,547,028,407,023,368,440,533,166,723,071,751,585,249,094,080,789,647,737,563,655,379,459,255,771,741,476,135,862,441,612,817,561,453,155,370,771,522,039,122,960,416,712,554,824,456,840,896,630,080,029,071,656,891,299,824,696,226,390,134,264,291,606,428,074,541,530,659,912,411,249,915,930,952,602,784,825,344,452,054,198,448,976,554,826,788,181,428,299,326,005,869,560,045,814,419,538,769,416,522,082,908,532,470,404,481,477,543,291,424,395,821,337,782,404,078,323,311,236,048,136,649,262,575,861,507,304,047,747,992,798,175,286,686,347,233,550,949,986,615,611,524,665,803,356,515,000,946,369,989,812,611,027,287,530,815,797,740,977,797,840,017,893,837,441,128,098,152,490,807,215,495,344,997,018,407,642,248,508,748,966,379,116,074,983,391,103,098,325,808,822,592,683,288,625,272,062,833,935,383,481,294,955,560,542,859,378,801,025,251,050,245,175,738,670,387,177,752,263,624,673,815,561,711,728,550,308,194,619,907,552,896,383,535,881,668,513,705,945,304,897,681,469,112,318,700,629,806,111,020,410,516,870,448,157,987,789,859,057,304,766,239,475,471,310,512,175,809,970,817,377,837,709,010,952,536,150,574,138,621,095,223,223,546,309,107,194,743,222,416,059,529,661,286,131,204,695,094,320,074,175,386,996,229,396,281,196,403,053,607,757,416,003,037,089,056,465,340,249,939,260,468,567,334,875,119,732,802,969,431,666,023,741,097,948,241,647,946,410,115,661,965,841,285,034,216,560,255,179,529,401,506,325,319,964,285,072,074,579,765,801,601,099,452,193,890,806,627,778,548,341,555,139,123,318,626,581,927,561,118,253,449,085,965,771,828,344,098,889,030,977,094,539,450,280,023,475,804,929,472,990,041,328,916,209,469,305,700,945,072,513,885,910,484,589,910,538,131,566,864,892,249,831,145,045,625,371,997,682,753,189,873,840,435,749,814,156,152,642,495,038,618,787,817,331,064,151,881,850,601,969,912,629,838,129,764,137,578,453,834,091,515,453,275,797,750,885,191,992,170,645,697,351,423,913,210,192,072,226,993,171,992,658,155,583,670,593,702,172,697,257,939,294,509,815,139,256,757,216,005,316,129,032,250,433,260,244,669,115,703,639,163,276,822,425,342,892,544,668,430,957,569,451,219,460,527,011,718,559,594,184,591,082,724,296,979,969,468,457,023,516,460,043,489,726,337,078,462,014,920,809,065,096,682,387,317,914,605,971,834,164,915,209,266,404,305,081,434,001,370,589,094,849,837,035,380,203,460,932,235,489,961,064,175,673,038,044,425,090,526,629,965,433,525,857,571,391,494,762,594,203,343,224,779,806,873,043,064,720,191,180,703,021,546,084,976,232,067,579,515,074,698,774,173,212,513,272,793,396,041,333,136,328,726,909,331,984,339,945,972,773,684,788,744,252,998,921,011,010,982,849,790,013,105,574,858,932,344,992,287,126,208,357,281,535,254,998,157,516,418,724,014,793,688,444,600,071,661,530,517,439,198,305,094,716,061,566,231,697,209,391,685,439,786,608,913,434,773,443,744,960,307,077,707,252,882,931,299,254,292,052,796,349,635,591,450,416,584,821,824,315,349,198,721,665,786,311,065,590,543,243,565,741,940,754,012,398,227,842,543,994,129,300,791,795,277,479,306,749,179,266,402,008,401,138,907,205,241,580,991,826,478,660,989,551,367,809,122,784,584,090,830,682,385,722,853,917,422,585,713,313,208,983,019,896,171,915,900,841,734,460,589,847,931,032,116,747,461,783,235,638,028,386,181,265,931,876,179,391,448,407,874,464,587,929,933,104,391,923,853,628,101,727,524,041,496,261,850,767,517,386,082,979,087,668,980,742,585,475,878,672,260,630,947,007,009,662,454,109,447,399,131,523,858,934,512,679,867,552,795,409,374,545,941,584,179,542,328,977,627,899,371,602,933,809,602,706,042,271,521,368,347,140,919,014,597,969,956,874,303,936,852,071,898,361,924,492,268,427,049,730,729,216,725,249,098,913,600,066,752,425,071,648,119,353,167,419,210,339,700,444,311,572,694,549,686,687,166,523,260,461,786,181,704,832,574,699,584,242,298,602,228,008,758,865,466,756,636,022,761,398,302,364,221,070,920,890,868,449,850,338,544,629,397,744,526,435,152,369,099,643,049,819,489,832,108,192,079,888,810,878,929,704,515,809,933,457,303,405,899,210,381,290,215,047,163,254,542,280,719,168,799,737,465,676,700,107,901,486,583,493,283,529,441,207,284,577,210,352,636,359,598,559,901,458,531,657,325,635,908,619,147,501,552,929,117,952,256,358,997,977,898,719,199,890,697,566,926,259,647,826,897,409,690,871,891,547,459,888,221,029,304,260,844,202,429,860,741,651,417,246,548,376,952,206,533,098,896,495,928,442,054,216,879,739,686,314,517,966,204,330,921,809,659,083,844,335,788,567,762,008,047,124,825,086,744,747,891,268,718,300,927,336,510,255,674,183,616,628,077,717,789,821,323,294,121,941,979,861,221,840,968,540,532,476,406,465,106,707,267,739,520,508,991,415,270,182,999,082,792,649,947,371,684,863,791,823,812,142,972,948,963,297,725,751,694,597,766,455,379,580,186,123,601,987,431,668,638,250,402,742,476,881,882,345,779,437,674,763,503,270,247,312,914,330,791,938,162,614,771,963,430,798,006,115,144,494,847,020,029,450,510,265,714,062,978,704,651,562,379,873,427,705,498,286,632,973,334,067,426,904,117,510,837,534,967,859,659,005,721,381,853,532,517,421,236,673,001,199,303,391,461,659,404,573,523,960,436,194,244,873,416,809,188,505,920,009,741,953,059,951,324,978,382,104,503,938,553,919,485,115,874,437,187,216,140,966,116,631,688,435,177,644,572,187,244,241,929,797,683,064,217,737,795,435,486,784,236,860,560,486,253,465,162,396,922,196,218,252,691,407,587,535,240,014,966,167,337,727,321,398,232,121,823,194,167,250,705,161,667,038,554,859,166,797,373,303,637,742,456,686,721,810,031,890,721,379,635,707,694,100,732,928,257,825,898,902,879,310,048,961,311,948,126,851,966,153,014,943,769,357,088,168,771,660,744,900,548,014,316,894,004,525,387,701,861,292,081,869,461,506,517,645,558,455,676,800,799,431,481,640,732,654,091,660,206,386,185,905,050,979,025,599,652,399,588,605,344,297,010,476,421,888,792,744,184,808,960,014,579,243,591,854,179,150,983,397,870,590,036,290,142,870,166,534,582,656,588,010,597,806,785,850,036,624,309,675,768,998,799,717,670,871,923,825,637,061,759,284,689,151,349,216,229,213,035,048,031,389,702,673,185,695,296,565,746,563,899,577,056,896,067,203,297,055,320,774,590,207,717,737,875,063,304,905,027,077,680,510,230,353,810,519,297,901,788,268,075,139,340,949,720,502,539,831,138,236,142,837,714,240,119,109,081,056,607,768,790,382,875,527,832,520,916,770,515,659,776,411,203,218,669,486,714,083,235,731,449,502,906,924,406,054,421,890,560,712,476,236,444,651,859,893,735,678,564,326,597,171,040,809,836,325,246,105,012,656,216,950,591,185,321,454,671,526,030,851,425,508,724,210,348,852,879,116,658,367,136,417,388,394,323,403,178,997,486,749,657,992,853,124,230,455,896,554,132,728,803,834,238,292,138,906,597,447,136,054,773,626,568,273,469,531,676,991,847,280,832,661,800,168,708,887,874,232,619,384,515,288,427,563,085,731,218,991,383,081,781,496,539,709,355,132,823,282,466,223,996,915,277,668,995,351,490,723,502,958,720,492,571,523,868,222,195,989,246,452,091,078,612,461,478,049,189,268,570,180,410,271,497,818,167,686,223,802,694,244,587,841,541,585,583,484,576,563,843,338,713,422,035,940,818,225,497,818,934,113,977,108,592,126,354,105,772,547,853,086,581,851,981,020,101,246,037,981,838,604,945,885,388,475,133,661,985,948,066,708,163,258,163,633,171,903,861,356,323,287,802,322,953,275,721,031,826,527,690,957,840,770,078,206,034,558,900,819,458,801,555,507,317,956,051,999,358,907,763,678,091,663,973,598,655,423,982,261,200,829,565,460,890,617,201,282,067,807,334,034,264,190,937,898,943,732,642,082,335,499,422,537,696,961,243,561,126,612,490,949,488,469,977,927,011,278,914,470,331,250,287,987,159,665,809,607,274,903,712,187,380,801,907,116,832,931,787,740,288,005,909,069,910,315,641,236,936,645,518,459,333,454,763,775,055,767,285,289,258,930,366,641,047,713,313,019,095,717,703,987,325,494,067,275,025,315,701,257,599,304,922,202,632,820,302,229,374,426,627,363,322,020,689,103,636,300,778,395,187,036,452,286,067,472,980,652,530,572,392,382,476,893,755,704,888,294,108,753,556,160,283,661,530,500,619,081,762,382,425,785,164,141,257,614,413,382,172,599,177,642,100,863,610,369,617,941,117,899,593,320,973,960,858,552,366,051,254,752,563,513,773,211,670,034,965,708,845,052,919,421,439,041,731,771,437,258,028,256,374,863,179,049,963,752,998,542,179,859,627,185,792,550,939,312,324,731,292,851,328,932,622,151,467,198,256,778,862,700,977,944,531,775,693,609,911,331,124,031,756,441,113,443,182,721,657,326,761,009,171,895,681,327,472,079,213,829,918,633,513,711,532,782,313,633,738,647,434,120,623,098,695,906,968,129,333,602,792,255,287,808,935,289,660,452,991,767,713,025,514,594,117,765,650,761,010,539,031,722,964,928,867,157,705,667,801,878,180,733,044,089,800,005,037,034,133,511,893,529,497,744,755,441,974,231,734,572,230,995,378,576,466,718,211,702,529,083,001,556,078,765,613,493,883,687,518,515,466,089,162,055,993,989,442,339,688,384,716,953,994,571,148,199,844,655,167,369,645,525,326,902,969,658,997,126,871,662,023,538,053,714,182,162,653,633,146,186,201,901,654,416,759,701,952,356,632,927,891,690,168,731,619,395,834,596,091,224,207,913,125,418,583,861,872,216.594231691088756736
$ 2214333832506200172898469411855824399006934956204765786854519705343378949052433498970081808017571341048406604755451875129662257244584972893583305670591922425927449970939453511620980101169541490766910561162858961063753549181897033436605119131944689226603639225680920026010348443270805186237578022613228184322109555553513408350580623001579765325904666504550091353063670984844145610952584502094564845301979643255822604536168071996714000410554859448900910421351567901359001822398482405485070586880758840212760963073072304783717493292192144464148080997439046427274665377579972040900467107516281731734900159696333634515514930207083353127039863979214434953744909055129397566230891954736931888879026062911680248933062617583446677665264559117808347370321304942719929750728092507360802856250343212283170827226141615623911832863790527599436037310747669335130516048824492954091860548972086367546312589681473114126860551334910841952432898582214137066439838675391736883743474883442306815774093252865859113816352559706772419617374102077335819066410780351598642800756926087372139742577831863007356726484707249116606595893123186219248595416615881764288920102143794962365110724472527532896971522688684620697505797446876671911371644838909853837247845354812843973429325671236117337103997840297962496387998441921322661475826580842548718803378071136133769157771731831411782336283800934178709273690203641573281077187332466033842094063024049823280230566877430511241626699507534761139493828002232125546702885238839803002224269413981928380238361161493746256914172456052405999755605749547703448306482662541788085384332236991496497002341148562095600549165667742329653652762313147395468192180919780047864479713600794017630357230859178557692261564941073636168066721726120625863980129867874089330700051296230107478298648420163792329023718508155210129590891630111960219662792297954434820598820673711736971646970086759622586991930172209252478881027402774876775017799607044229404589807903519281599483708962726305389193522079483705031007399066308927551037089619672785845537327368418762670367845652665844798442894108343477664927404942497628626833205917756145016670454668192583504490026744742981616685563515149722291715937602511317683107155437823607768508464411451456799956927795891730024436374484296992555283709560502580457029655201079817404312925379069963791384159695597354234802360502517502862158493820206914807533629588626498771817788488816838282628270348467161586066551945519498060933871043357675620306957399106931555711170132133744095703566437668762354339426525612139722468066735259126501549099967440720929500939845094783837152348929773879045611732337050421792117840257619731119877412234653981283367070415162694519828027594807354443874479207011578631482309570228557744809204064835166463989601968720049447405295221496867376999196486261937529464346521644071090478770762080041776983682227274057026061053797592097773355445329890945251413324150690374150558118105715601324026514485496425507958691528778652672128525415404162666856055604852293513066525539936435736513060919647305168394423110803040006950809858441950576752526008235372426883196915270059986767777909838127401612719928802053378104097021234587099770954445766830253648537130974656469706554566684321704638598902880442963457858492093215673235887635869610857851127125065055960435292425051534109450663216756284931310078024379653680145989044741883379460050404421106828017779060431597396693992019381962264956605288301718521503911274171088764722690233328091137582151486821911946513405102654366129328489197330008934114703278142333052733604424534255318150946140015347155427156274110276939919091435242091790737028682532817233874503567489922510644993615496158920375468010613781002443353276331333985251710316217780529340847927377973166942461753950035272600970691360822466511580061659093252576562140779286185699643547785372878997781025119212502013185308984711443258201584505650961125206254731826545641160572142036185981588102481864697289618377369987146946804378782659298337231705414950813725959067274760853482629647395282429627341281629828067541613560378289987929650016145272574194881679688751519908105343842186091636094527876657511570920890354547647786350958848730920370537374780495255710800377170932739800756494821662999864023630417571503701689014868143393060594025863694609713193833501130979190226731287451480461263257051853253134243594459469521336798904903661804108160191041184589033379648867982887771347406481115170759508491541557355134071152220012903242595458087745231314595518965441240594622256067060568425710982108320191130625752197608116301875837148361544937112748877531646529255138637626831321192786648553057992959274198963531253911054843955328102879839237646189220761491751699713899463715227276226966344515912931876079595050616468348564817976544467662920644631134690544501963280190245350026690915016036098969490481853515670832641327078085466239041505753588604669097588724099001276424037422361235709829327258667985612529280991246851378545653566398967134126932284912640576876910523087712513779562185901454876972498516142948314945147485757936589278158477469937633377323504189995973791816475121687557978832333315973630514419394063601147596823202584279615212103832265840735331408421793223021523840004948382425179792059391663686682207160487717817927231852653631071269544543146072814730599511364708394233021288133615411616688338005138217446330448975821951358429819136175564563759474788615802521764015928806785636020626162447626336161537429835066455108860385029271000786999894885467432806665221144907025832254728112263245756386839540956533135800255716423430493046462492777763541037267440554181571774648626684534865128124967214399228429347460053892138848906271698244503056415228319548748126568955794312932754574405107994249295279065851230924521561844206299045084530935873546275863156752841828039530587391604467960281084401718863559219414574532938020377150832395069338164582468185149181487658060281710065391525326072397701250007144436475953789349587823137722679862707259778928821618322477486553315049109283469526778912962065414087214230093519800134534762939167829762133579574282824393174057977864226026310429311313379122878201714004048467451591856106467169203378188002149019101683724708197496837847359788821898120047503085916394652243763439948901731890052775785844719236908847466147442209857255647059936966877258099172747016983988950124353140648835041468378300724841175313943941970418704275445609208780870765997489942970560404687883865982658439739292809011381352535446590108617002601691371153000743689094947718415194629926274242928228862317779049671261097420491069946453102296751098052538594750095877012837248896804372196178527838699800012383566591719596287107933739159840383948995566714270387432084983614779054205003208376674241328503739241901413404252074903874024232098672850882517301010237896468663526130892597994144763267305002615729625947986466260200212593469116145381888446550360846730227101698359753181977165622957041579339619262477222315206908354191885658022007309229278210364459631099211258202931293035150622165378129763197150570266218740629551016997612371730076775649406405408133192710633196327158508173439583858037735244155740308447192435146006204520020146553682609144300357782020958193813594058635843184930920486913217635105284566471012991270921528565732513528710071142685887163067606986237725356727790953971132315272559404145989105386516186443497073030095793717767110734271171518253258033510687547208125164978175196192121280284009148047241212212563059825314939494315678310472623766189524343385086059748495568424597695406565110447064369121472391766987141575853759750290290227822483850617561932196768075002848484369717565489486376499698456391054594984330297544044258629142057241151260801687928285641581156971747990499239251886553490471753457747507258051724079046709754836134575449110014047296290764033196633133969967629200877459173208070734412115756889015560894914695585609129089335574050114592387175783801285359943053357758226771896457665320088871993310294208497290347546648102879969905562309836079611182546566146212969113437933883655363170883973233803092386123576378999512300170227640846449400953201957808863748110229320961190481740649824234862728242456159829172660188457053703684892742331117262888405687310947148820738311354804691077980754644368509781657745643440953586931262122345415753348407912771452572832601353613354160567817119955014938715570943864143303501898510235089100968263495958630611499971354626902371799046417126031596282835598270632200759301858002971698246833827537946980564748868155555890792553811924777930582398140800835301378194880702080422767043462512180189706031005996123248357527210704494161390268518111003476914436682996184027655560794592767535194222070430497748888929064335009926596656343981949784065799487282928178330414245862801017593961420318750332715905048407053865718714011624793437746161214885761578635417648890203982017689088047407578823399640437156603048363031572968624593957905517785060241622732515067672222189174145276241772586138162597979777408172653876975703579840703241386597492861894764303885078049703905134172344106676274884702338755296529321255970192324761719456485518045793698412591665765013440760680891438381083164230875653275025551125187033266876498401474453635557772390377017683218370193089914228284956304503794177377539076343244567531518456088916139633196620889248651442369882824936641067506451983849468419465279771253011111870985499660327972026063982128766576127769193125400701124499641707525789234491258613438523925857032352838882104321433260302606371727325123229333574809394200288880000406122009949478281583569010617880836167020738372220876874082821048193012088336470124454532711065847732747246483961610981541974880316507041049171409258922447140098696021777099829771227533647389558901146442628654933968.33
