4,126,520,058,322,954,203,776,793,833,197,493,292,231,540,928,709,750,871,554,848,217,966,151,466,250,814,374,778,435,983,920,669,276,446,916,974,298,186,312,745,548,234,455,200,031,920,182,466,012,508,539,494,168,646,356,259,560,562,156,001,315,336,484,552,085,707,425,502,587,688,980,568,072,355,082,873,950,209,085,554,150,727,043,342,566,380,271,323,444,291,805,312,816,356,068,678,461,976,099,283,485,887,529,979,210,907,384,398,197,594,754,503,138,031,622,243,913,718,584,044,435,362,877,950,905,343,409,057,980,850,407,964,380,759,867,239,592,899,565,581,131,730,399,854,576,644,869,178,154,645,456,726,636,826,864,650,869,348,530,097,134,361,005,312,410,421,313,463,811,729,080,771,062,999,314,573,273,080,717,193,479,536,515,277,909,991,095,158,596,216,762,401,510,913,381,963,315,787,813,473,773,445,618,060,162,416,095,924,026,220,735,876,148,766,272,670,434,991,010,902,874,226,259,321,827,401,275,838,696,477,068,402,324,163,318,668,714,849,844,465,883,451,841,384,553,498,213,444,693,790,918,786,977,790,114,739,977,246,071,945,896,992,435,100,367,230,107,733,393,780,666,838,632,133,612,323,561,184,735,342,736,874,936,579,881,218,565,523,256,376,890,723,555,203,503,924,510,769,783,509,498,190,942,684,470,800,974,049,704,442,854,120,900,108,247,161,377,288,263,675,268,170,650,100,362,358,181,003,872,597,838,212,362,209,338,853,500,126,797,379,782,319,110,537,755,418,589,433,785,725,142,638,491,826,924,181,874,102,488,295,534,752,341,649,697,000,355,767,369,247,585,847,926,661,621,729,684,793,729,503,660,151,489,266,985,166,873,712,219,227,099,308,753,538,692,444,018,299,674,082,294,917,815,733,817,160,075,905,724,609,175,594,330,948,159,755,224,741,376,500,547,741,895,814,038,601,931,930,390,290,129,676,775,296,734,384,125,855,016,184,375,526,188,058,051,756,243,387,775,435,438,189,700,712,257,590,043,401,284,135,637,130,369,952,376,530,066,726,323,702,121,859,307,683,230,025,034,865,533,844,217,385,191,630,467,200,007,780,692,323,005,376,147,728,275,863,886,457,621,276,253,398,345,958,522,443,290,277,120,496,872,393,309,681,306,276,673,582,280,401,656,706,406,374,833,268,710,933,809,274,497,498,755,038,842,424,681,003,346,535,064,611,022,017,647,576,855,194,672,195,770,567,058,059,276,839,261,563,987,290,104,703,836,034,173,409,952,550,665,308,241,360,362,269,590,204,651,445,348,264,696,093,953,721,053,249,903,030,005,660,706,394,776,935,693,169,755,866,106,367,961,066,675,509,646,543,911,910,283,969,378,154,022,942,861,265,624,650,271,328,305,697,788,369,216,917,087,101,294,484,921,033,552,998,482,910,212,737,673,264,232,357,320,902,473,794,175,772,665,574,480,632,556,622,094,259,076,423,538,114,971,066,645,268,486,447,494,423,487,386,582,761,914,472,573,884,050,147,611,180,020,807,650,071,919,863,333,350,634,512,963,185,298,264,151,807,787,633,259,016,578,033,926,164,628,721,101,934,128,627,476,599,905,702,070,580,496,906,082,171,338,900,530,352,337,913,600,440,748,644,823,932,779,608,732,447,630,891,929,120,003,133,601,955,257,362,728,216,027,588,490,591,535,762,353,044,415,376,451,324,993,069,514,131,710,357,748,375,984,796,914,347,226,238,181,003,227,184,034,615,114,653,436,144,773,387,194,126,527,629,874,480,278,719,771,437,245,836,037,577,678,852,544,302,428,837,959,923,208,958,356,291,541,138,674,618,096,441,346,437,525,982,323,929,582,491,825,066,915,664,079,624,250,423,585,822,193,400,648,721,064,114,123,286,926,885,909,402,822,111,928,286,776,299,591,087,505,424,132,705,530,859,281,891,579,392,256,526,324,290,464,473,186,925,054,608,900,817,019,661,860,382,951,275,772,836,561,446,354,767,097,738,858,296,387,678,367,893,820,984,841,159,880,366,680,877,827,886,677,459,534,398,219,807,462,236,887,251,496,413,462,255,561,549,952,812,436,067,802,064,489,008,913,603,431,413,047,914,559,729,331,255,917,047,232,729,010,096,660,058,733,917,572,129,652,757,243,734,892,520,961,825,986,575,552,913,646,858,149,384,167,240,299,296,861,390,660,392,418,966,287,608,652,859,490,132,495,348,811,085,053,890,151,293,038,946,258,098,549,439,383,388,694,668,059,632,276,781,024,243,139,996,953,708,322,870,182,196,163,256,765,351,167,879,029,237,917,886,334,379,123,455,775,868,969,917,943,188,038,558,024,283,701,464,808,067,797,824,096,645,549,104,870,683,536,534,972,252,318,628,403,889,599,672,222,095,767,427,486,866,263,951,328,345,907,279,898,843,671,630,189,359,213,582,830,016,216,976,632,745,375,402,596,710,691,248,789,392,681,856,779,406,746,654,893,346,688,875,928,088,477,251,575,770,436,221,591,670,384,766,811,888,219,146,286,932,586,470,713,211,702,602,212,880,686,190,414,231,006,330,619,935,563,434,010,687,337,601,346,206,339,219,407,923,407,600,989,566,027,609,432,173,866,253,118,157,400,873,996,138,068,267,005,962,430,540,009,904,937,417,863,161,221,933,034,174,964,061,947,219,784,043,993,021,847,120,083,267,411,348,505,027,847,413,663,248,222,329,957,168,963,480,167,619,459,356,903,505,450,033,093,119,736,915,317,505,928,521,929,448,288,096,264,925,501,229,488,808,702,571,089,931,255,934,409,291,293,511,915,759,079,330,994,077,896,321,262,836,438,549,408,267,998,981,478,900,702,155,134,377,565,681,146,590,624,351,482,257,811,846,125,285,468,063,999,653,436,785,265,029,914,381,687,415,764,646,552,989,023,186,583,866,241,091,228,409,213,072,089,434,744,521,170,366,976,390,663,103,822,487,766,115,255,783,636,908,277,516,661,653,830,688,732,978,686,648,056,583,989,051,571,565,536,621,647,157,059,703,081,118,767,340,018,213,991,608,341,586,204,698,729,984,386,511,063,962,297,991,099,464,125,829,179,525,384,243,996,375,340,084,214,782,368,984,272,661,819,237,275,957,563,898,725,818,546,056,793,932,352,062,737,893,026,006,882,042,452,100,000,292,402,931,001,109,152,915,793,358,996,374,668,911,980,669,957,125,349,452,805,098,661,369,229,749,402,128,743,761,094,395,335,569,500,588,378,607,319,052,723,617,692,565,458,641,164,967,520,129,235,706,051,135,910,512,229,711,933,008,136,419,284,669,211,267,866,139,521,860,404,107,491,399,112,994,880,496,685,043,669,418,727,935,513,458,069,211,139,428,958,877,400,629,529,127,401,137,178,727,283,709,983,299,349,471,498,536,159,651,643,813,950,178,505,716,743,435,472,175,879,065,677,870,272,453,336,917,199,202,142,044,192,132,158,138,680,091,563,581,409,005,472,623,842,915,310,095,713,939,742,358,512,401,660,473,483,310,393,891,189,603,453,723,947,567,132,622,501,815,057,690,174,622,839,344,454,753,318,131,224,938,143,231,350,614,040,103,519,660,182,168,530,143,819,267,278,837,150,848,175,502,207,380,361,898,175,347,290,692,297,251,619,926,384,640,325,637,735,365,179,258,893,896,180,791,205,203,685,000,512,943,259,613,169,288,769,363,255,644,803,952,008,236,799,192,511,529,668,210,113,816,328,232,123,900,764,565,225,259,949,291,253,678,553,601,118,041,230,798,801,134,045,688,580,798,954,917,440,357,088,760,191,310,625,971,446,869,730,045,773,446,648,226,262,440,752,433,829,745,483,796,997,359,992,207,473,463,526,068,083,526,700,903,337,934,473,196,114,136,626,931,743,138,576,366,188,417,689,977,236,402,357,903,568,999,229,269,505,808,661,334,521,799,540,628,493,239,049,535,500,040,603,416,077,860,973,787,370,147,663,266,544,402,588,907,383,758,209,186,501,005,382,019,873,431,009,652,425,302,396,338,391,308,663,657,307,036,845,603,369,016,364,590,792,286,576,956,945,540,125,972,232,280,843,823,902,569,442,438,629,333,330,428,987,526,853,014,314,950,917,076,312,048,058,685,150,932,886,410,901,684,492,621,268,432,918,466,317,075,800,742,540,961,281,818,311,707,997,636,339,448,461,292,737,201,022,369,311,490,564,222,597,197,043,203,911,580,725,245,493,840,983,537,493,382,417,521,342,393,714,772,711,102,836,000,038,453,191,393,506,248,230,469,349,563,150,623,607,917,415,959,632,035,187,194,600,142,665,709,135,450,348,063,545,679,356,796,642,002,539,538,478,741,796,154,569,636,617,336,545,651,140,436,156,565,834,673,601,546,827,641,816,439,170,702,191,353,541,457,021,277,736,853,966,617,426,444,747,691,132,240,620,037,693,933,146,940,924,741,924,768,533,082,938,112,897,498,214,274,238,740,927,068,596,943,923,601,756,571,161,786,402,524,919,350,515,784,628,318,426,431,351,425,859,555,753,928,245,198,740,811,596,139,254,310,703,906,615,101,759,029,254,485,669,315,166,993,337,372,486,702,314,132,920,742,008,713,008,178,838,638,586,475,289,501,868,258,593,334,929,403,266,985,134,089,958,161,670,986,476,961,102,363,674,732,568,057,643,931,043,282,731,491,708,969,342,075,596,376,745,633,760,308,982,410,595,619,411,094,655,326,860,619,169,035,458,236,093,275,049,098,141,024,461,236,200,805,222,585,445,375,169,145,143,933,523,564,806,917,312,403,913,938,421,942,874,148,670,508,293,693,695,273,454,539,170,258,863,786,346,172,394,554,116,303,672,228,306,643,346,165,066,360,358,594,949,408,451,364,156,766,356,390,485,504,551,769,330,790,836,089,228,930,210,404,074,135,914,663,785,363,451,144,477,387,976,847,039,823,540,985,033,428,309,703,900,581,357,720,349,550,234,448,965,301,601,856,585,077,945,691,140,886,005,440,381,912,638,903,665,810,207,159,966,438,060,919,573,555,969,478,146,525,931,237,017,765,702,070,223,106,856,729,882,584,358,311,070,381,105,581,661,209,717,598,248,756,567,333,239,069,795,340,140,085,699,042,724,733,721,612,825,433,095,915,220,086,700,548,406,989,663,004,532,107,004,591,427,565,410,882,592,493,743,415,631,850,068,313,727,253,818,108,435,403,446,473,816,463,279,496,513,271,769,062,760,808,584,598,366,796,194,263,225,862,592,353,726,665,148,798,240,556,796,058,773,520,790,629,864,485,757,462,746,511,521,015,147,287,038,615,020,627,416,095,017,235,484,899,767,527,676,322,770,098,966,462,663,321,080,885,603,169,631,218,591,980,820,119,366,479,240,429,893,112,786,802,557,397,468,050,113,205,969,114,298,365,080,086,034,241,012,766,803,269,362,922,927,900,545,757,042,494,648,314,687,885,791,474,484,434,472,550,628,109,197,550,469,579,940,030,813,745,874,252,058,050,374,217,301,303,309,370,726,117,588,172,732,876,941,165,404,932,470,351,089,713,688,378,962,485,984,022,696,118,137,425,450,512,889,496,612,879,398,827,455,920,727,150,673,522,824,239,036,823,622,691,571,676,090,333,037,816,006,075,234,739,025,975,790,011,212,119,025,527,862,760,426,370,276,836,436,336,737,905,746,912,528,551,868,495,871,356,597,063,090,324,616,264,706,302,600,335,523,006,234,025,803,366,415,862,428,293,538,405,427,367,668,670,395,008,958,959,755,761,619,638,756,868,467,922,175,553,703,418,726,482,972,148,230,481,240,912,099,215,526,847,315,117,168,886,533,884,741,071,812,305,488,430,420,120,199,517,778,444,993,373,966,836,706,500,905,814,226,794,812,335,392,550,314,339,598,025,105,292,519,556,940,947,453,371,857,727,006,824,193,050,205,243,828,511,636,408,354,740,099,492,634,616,771,716,805,479,535,572,795,433,400,963,903,493,164,299,997,520,867,859,329,753,654,668,357,724,062,073,806,393,324,066,829,093,775,220,690,277,099,768,875,905,071,985,939,567,914,030,310,938,160,138,212,257,378,121,432,128,222,168,558,593,035,482,663,108,812,067,511,494,314,507,772,082,554,566,902,302,947,471,430,026,096,354,395,174,835,887,552,567,690,189,100,461,039,660,710,472,125,330,360,019,790,462,552,221,045,014,785,273,365,259,736,960,641,640,523,034,042,025,999,976,008,026,670,044,788,550,053,471,643,347,630,892,716,930,059,754,417,240,392,035,039,854,757,033,390,151,999,079,832,976,797,523,555,545,756,226,398,757,666,112,947,344,761,462,174,037,962,691,966,194,816,269,947,464,544,712,967,948,139,425,644,763,820,167,174,945,369,115,322,908,000,796,721,515,232,977,895,463,758,973,746,788,013,506,129,415,362,334,377,621,583,744,263,503,722,309,533,169,086,644,343,576,078,619,340,082,708,336,993,335,237,512,254,659,718,608,150,952,402,267,868,679,917,700,870,202,809,995,412,535,717,731,183,609,141,397,419,282,875,366,806,350,041,282,130,002,244,316,709,869,399,519,739,174,183,545,628,727,634,030,760,155,659,412,768,300,777,080,893,078,966,061,604,156,568,124,286,755,853,760,132,618,650,674,457,547,865,210,555,613,819,601,660,829,456,377,632,733,489,507,421,278,036,357,823,295,959,045,375,403,377,587,314,433,712,448,390,142,205,143,711,546,885,309,033,996,060,834,613,821,396,494,423,451,021,264,207,457,344,507,037,839,293,004,550,672,780,587,766,248,940,751,221,436,829,996,015,366,567,076,005,477,941,205,185,483,070,575,824,007,797,046,650,438,362,871,296,534,368,279,156,005,002,672,110,842,769,886,387,488,482,377,965,414,860,294,691,574,633,279,009,671,501,588,889,709,621,604,684,184,400,984,130,152,185,564,319,175,249,213,175,288,057,748,779,711,072,048,486,230,878,487,753,697,993,674,475,836,648,255,149,970,837,859,498,353,865,082,015,192,441,185,848,215,761,945,558,059,433,213,436,626,426,093,585,232,812,262,382,039,657,640,394,658,523,222,153,760,485,562,844,187,321,302,862,471,284,592,217,978,348,585,133,590,101,653,005,209,816,433,335,642,004,719,641,720,643,633,212,206,230,280,347,140,398,546,554,905,823,532,060,781,515,894,123,944,703,506,201,766,098,386,003,913,239,364,050,906,730,718,175,353,402,912,370,460,889,064,981,883,046,499,248,354,573,100,919,993,968,677,243,562,066,958,434,741,586,276,293,596,825,295,609,157,633,975,659,327,919,762,412,158,075,481,425,612,796,568.924194507663081472
$ 31725981112007814559625472075152396390656873245421266972385603633417621778203993100710893552600433190406261649151365153041164073561223325268512479768680247051497619636546074606945655200611738333155436072872414400223161883314446728872819592230166384134183601686813751755433221015112031319163014190409603385077819258415257029834991502157449346168161873427305078327161298063459352513041946632757398456231439299739460716218354655417214258391643905928451475517148662330648188987222024812706971104702914138814028194130259950218194563517573531642483499194267974195344420398861568344340849474480703301143568955090144923328301078776781703185925427720688609265322266053961439893549568874873484172495531474885988117962070189595231835477797189720292850824469724489701646863795730429020140814342108660466737877070560716331304743402208438782156429829781177804396899253129752882168506102353068438301358864570655185739357397847052371548585663899925280886521824372742672136733642721726539730632702165184100723218884561011096570048553097319450429020160245244287417742634262913186644142713214912541465635030487399902351352275571577648942523082216430800995733673975226042098228426408977488367168441353256583031498074741594260129873905009013647162384454091627732161009777893510859539199053883585042487955047116226176401963364041355307875809679231680131397897601419148909256314509235646830356894347487050892917309323850227693961049368481237129281063616213367661680472826227551669157039252074386912074619201710107297707462242900917726724772072926453065357826181815636980326512294740569503388551913482348284316605173132510287380562953047634565077171787588817816431045288187551320076452082623602939431377987236659069919052489152632138134045697656796604409190358580562373073639365972860803132458421049392179383119436970149736205829300408920822027777685641526420915540924580845596199950690943995111806189640458544748508477458571139931761787334094663010641571426109147536890179907030853112505491426432351534401306399150091904695167550136923659960965231212033315064964587973680553748831173900119956857812481812624030196604474056331944700791750704247090121976510497566748665102084715334079110713533659202258750794943126118421900306630272981964517155347028751977201422653971458152753208679028409718919325848908385955854019547130596342976195180748042262878891196202716444467976073398256737217359729269240385361654333895455422239130978800754969409641837176894740662576890645476624173136810107164354879900341775915877278787099062690163837139259560514794939559347581866016320220509292504388682992269065937003241083753720374147060785326027791485054033204718455826425270985436170704704989548291467770141722623753585187814499099229880248964958324254868738857319033722401261847875346578968077791148640883560944559610064217941090361172543934595504738492666143902062578274121185027163456070565403821175365427172882491043242371279129634784574885853064470609089140774859518802312921446289997901986467204052665130369980223952725755160025137783394358082492464002278265343259023570594163425055476875917641432738336084804927509843245345238635312578299873788209165775169017543743517802581466144183292646754348764581247722132145471551383393827899899995001330528967653642768229482828885823253676801179582198924772967625990447020098278749868212088241720725196086119190118729574654682091506630008596646408764315238930700763368112989465083354389326997335672539686422415014069033251214333155958966940925230162349477218584802104995390304267773663971331825492308543289795805116006013145006681743516300246632253916855732493952055826190285273475898820017001743125649352520548162939538222365046143134221276046883905923802001855165834361786760739688915103661792710119948717066582921649227716079252661387589765315265910635605564665266622548361490445784356972034202099757475921499181849213743823711536311165585823712226513995050588693438343189292382833670815679703008360391565379749596637678095345599060153129823408289388112697280002514168546137365248084401699638807705815272103483102292700328264373430203275122969077083014536956485596646521199272843324804578483273357273334417349255274700341214967109643387579922700552641842350273860251680640209065371850236033012279572590005973532174871040319255794802559990809941877044569253667905060735177285913849686444554833095516979687186283245033841860458205189620247186564669938654088623127095695255976290382074768974965130388311280135315852345162786589075038810778194116005356350017918442866222006673725296271154311897933810360502479849518496600966367244052666280236975784395887614775502298615506948321891797089473995751693349371993665822894545973154525078478164177386120927584925206348706331771183779825874224894972148617200144034102232942315530066682470139941746030380953589013155537086904047672577338535154304531820488172989559641734656123819243066035974589477425417208829741334013295629239636782468004135731499755527324494366076968019838854459603927072950980774821990343069918751160215177931936748953626162903608340471380904549717194619782113676852708827519556036136763407004861931839420038315164130566907101980725456334623126573782927474170364447734638561012998699225441726462099140594674891180085100924365525500772248996823356081192127830983868181952047344073534360211988850938808719343367123544425698288882997120349385493246763445432254845893724720229694385769783792178707428898705476661755635174181530414034145969267547712591040171138041564097408778378245399450553642554830984254490967048865522697704842445148253798978316701322346500559538538906737796138358756968368359951505864587020485228189112712871176714961546652713570064097353363692614836805570338887768055743114010252267700975418178146434139310948411665744311932600494233574609928782731849237482958359809001478715152737983626520510531004551195486349342604817277379138173698419405331119432650904653009702301861645182271245055692634284174681556772142120231502719748860272531120585448147299621383635023352110211977125239826543594373580473876845178122100434928305726527949520409713899198985843439507042411734077493827047200073677555588190028592903084651608774907171076512705230819619940670482266174350804192549546811987855879388456220701001180949660449804049941420661399064800245206851713066963506487387092194673952790201332928246208469002058748901348115607479574181733473993912353345741430059049843160672206325954428914602188504393659988089020284606738756653651976380932668062418163345549304637663538362621753845133649095565925371681597900921681335722727062569623054470551009563896737524010901912905936527559817547281567690798264631110618543257273605049856762589891863794284380464484621236438183208112657279652117221255993290744058802560411011494234203043593822935696764710279732773232498953393911961207146925623836227747778979535935983776292959342593416596078208141534584855983027692694111661392205631737749511193075674727435110541635330876569909120365153953196597388636172066835057233409708032932819627798390651611558213112992523943077772716289641084049651181590654652743101578168765066154360792499049527465194339108866423800356380554016090477647429742243407754039682359408193216820769932435281394033676991251295113914748643925101819815308844021470822530648341926155905412323695503233349247274407741557282328801519481688829445102993812280730659046077537073226855926572851446524892227472811649003953851623360544627036338910673725957039098160729343108773709579397851330826566084993977106353289489276829769115391361164877081351783267341305945144360985833663308499701072408663109953058047990694143040557862181780768826043882872136265793371386262813100803530966967195283126065041247519619049678177185425113308516638680577628921137419530910551623129453752682308523148306349327079221182208605764582354480241562904559024575263576995400677317715953042398128359133486702094008724389122704872204118485869106941611080131386558972140543569067041639343318835068934287277116788247842514941011256716319191070640620941926190152415585953108773860314341833506986651911930790258079295345807829982925946124807264290327334526305220575106990215064617111785625395254546850578685372321051874204304091271633026185138095631402032648493993977515471539686447213498482526755140923970699361324485408433064024821782908994526259403656318725985028762508214482495480692283587511476355096316850506928378289181460202606937365218769015869525223191321090537331288971210463607207945898267477874442560915929515497745972555750071743878265062622709008105604249127898517223087365887030494384212680723619559355706503081043467876412028023003954291409022311839206940044752294524980391863114049050493064946235811004073855608878997213338760215137618793399786195477010353970190158000431371382657295885125206665222170858054194771308948865018563478886339661851985195596360270870018274577029709409693138341246261815101266521881238062717259939483262163511830367869742377272452073657517654884979003013363127658604121113974382363460873089791383566132927895631471231050585502234494443184067882977501293107033402176830361669800562043526951907452891611111821610092716834246364570297009010803990306889944369402286598959664634911424619743515724643957091238086940339154500334567852569360552455995211874008349967292879018178131174879389695751202316516666827935091963247516373252713705665170581099354241598776692262176026458897542222530836215313733512770666672187616502753354609060816210386900824952382100119837136539257840003633885124394497842887006261906489776511273237771309655043901927770965629594726243461754829003773642217743915430516117971878013146979107012526090812959164150650926849104149059506770996328979378280098551699724340291878161120177832415095586795317193705202992270143030666488119279971175660315166957490179339005204988801946596686654370124282349244430683120856051172015311.41
