3,716,148,778,049,560,568,353,969,574,436,349,622,542,311,806,765,402,317,874,476,393,568,024,800,539,574,938,760,493,883,786,389,678,506,449,563,590,646,044,978,285,034,335,482,581,749,432,918,127,814,417,069,237,694,891,582,275,226,469,245,726,684,237,886,141,998,149,323,357,329,281,081,900,024,683,410,823,509,580,462,940,019,095,028,467,353,896,148,841,167,264,536,513,228,649,155,485,959,988,043,456,513,124,916,299,363,983,083,580,773,206,184,962,050,031,351,272,761,113,528,109,678,966,766,597,069,432,111,189,515,982,968,535,047,081,026,401,554,893,326,402,025,658,488,552,862,337,846,024,649,674,208,022,882,764,055,756,472,502,838,195,983,940,288,222,566,232,327,823,432,233,037,183,576,995,403,574,633,562,103,087,307,467,762,638,689,243,936,552,496,935,581,520,116,016,503,004,904,545,383,177,203,970,359,863,186,137,156,731,044,130,739,816,916,449,391,416,214,416,590,804,172,073,124,651,354,096,256,774,601,294,502,657,454,481,747,215,320,578,384,963,784,580,016,315,817,978,420,977,783,193,495,439,061,885,623,773,191,822,514,794,208,525,697,565,194,017,815,600,286,836,424,405,925,952,143,122,704,569,515,799,985,306,333,543,656,756,945,031,398,724,814,948,328,735,051,768,445,129,871,444,900,836,923,353,422,762,637,478,166,969,805,161,824,845,556,761,505,522,088,101,159,065,265,235,066,207,794,995,302,368,344,438,186,892,065,127,273,370,887,139,027,814,332,712,448,914,968,245,656,709,975,998,787,586,915,372,197,191,771,938,055,827,046,841,910,345,157,574,385,559,723,148,585,017,047,451,270,163,867,028,731,497,004,605,331,530,887,804,690,599,818,672,638,720,456,969,827,861,267,643,251,264,493,429,337,952,990,259,862,541,183,760,891,633,376,554,171,918,814,918,036,589,338,694,077,689,695,659,497,629,778,138,746,551,595,466,264,355,480,951,999,570,776,086,692,939,025,025,703,821,918,600,999,378,772,225,920,280,263,237,048,103,429,707,092,570,334,277,475,662,731,064,877,054,517,813,096,978,911,860,581,705,987,260,137,403,518,548,386,600,702,866,346,839,779,118,089,661,690,979,496,088,682,876,636,155,970,176,539,593,561,033,022,203,543,738,089,834,947,128,010,618,547,178,942,564,793,909,036,860,828,547,097,144,974,579,202,915,133,105,477,366,818,723,611,670,758,273,651,038,084,713,206,978,340,673,412,766,513,210,745,331,016,643,936,497,585,189,727,359,367,112,599,366,423,944,629,648,727,909,712,586,244,358,564,889,201,458,218,936,190,237,428,497,243,457,933,786,019,708,411,023,684,535,434,856,199,120,895,727,134,482,679,949,963,074,819,752,277,185,202,554,375,424,304,057,432,149,126,692,092,114,028,418,057,933,192,043,472,427,782,445,921,282,424,970,095,229,717,714,538,712,030,826,199,490,064,897,803,035,325,987,304,692,168,149,799,907,348,113,582,068,202,720,296,335,663,243,923,826,037,386,268,821,051,504,568,571,874,168,493,637,752,005,000,146,287,612,240,090,973,724,995,241,981,497,204,008,035,414,871,656,744,335,980,033,921,468,725,617,231,863,427,327,073,285,058,185,012,248,039,225,049,098,926,687,736,461,541,998,745,989,386,254,593,622,929,616,691,513,930,305,726,635,280,440,098,145,058,123,381,339,860,687,989,179,253,873,425,756,982,273,838,592,087,875,740,601,731,300,944,106,520,284,521,255,599,943,003,942,759,105,811,305,175,156,323,738,650,342,594,250,245,412,849,861,879,038,996,592,231,200,653,326,958,952,055,665,438,807,235,325,718,414,746,697,565,634,227,651,940,959,197,066,343,693,638,443,230,604,990,359,135,488,300,351,817,381,440,662,533,762,086,666,842,261,400,938,309,029,296,916,725,408,431,055,584,491,248,965,572,325,618,125,110,172,301,839,797,419,150,113,023,607,785,085,621,435,237,491,346,194,863,794,390,295,981,011,922,711,620,257,544,197,122,763,541,273,064,768,443,555,558,616,299,791,452,354,509,698,737,263,536,527,598,923,722,840,653,241,546,952,700,673,669,883,015,126,885,056,084,570,043,875,460,121,414,867,498,084,450,436,894,654,504,386,883,702,367,515,745,406,000,566,545,605,338,281,660,802,037,154,255,235,964,558,988,382,875,725,524,248,743,003,134,133,815,840,671,361,068,460,956,353,535,160,157,888,474,577,778,527,471,261,972,827,510,720,694,730,067,343,299,945,295,609,790,765,898,011,601,591,626,137,253,003,910,284,206,943,307,905,750,493,999,632,401,530,811,794,703,458,175,257,694,824,474,365,421,583,993,091,080,595,094,985,953,090,361,927,082,547,863,452,110,828,731,697,708,818,296,410,803,924,331,994,772,152,379,476,214,195,132,811,510,442,660,153,994,809,307,099,052,880,053,296,287,109,924,254,087,954,254,520,411,296,652,682,888,125,011,369,944,813,440,391,234,983,489,745,138,170,716,145,705,486,465,051,097,684,854,235,016,589,395,026,738,020,203,866,016,412,944,180,603,208,384,086,512,902,659,829,149,442,093,721,739,101,179,943,040,865,069,626,856,578,330,530,187,790,896,653,060,132,436,916,874,090,014,922,907,083,553,052,348,145,989,340,788,446,594,702,184,817,047,409,316,793,536,720,552,312,977,231,455,928,758,909,613,861,764,922,136,381,131,132,297,123,042,236,067,363,402,225,940,480,737,849,218,109,570,786,730,061,146,579,678,616,419,286,022,864,527,229,143,352,935,243,748,447,172,870,750,754,892,547,816,684,721,196,542,590,332,236,234,385,939,784,595,809,965,866,245,451,169,326,963,914,334,497,393,439,949,879,322,104,550,886,392,191,598,973,071,130,080,413,752,216,906,466,398,524,159,249,989,721,064,447,728,828,983,904,769,226,284,176,376,911,698,800,862,592,132,697,252,335,068,811,145,540,710,355,102,362,515,776,000,753,427,487,196,796,763,772,310,498,776,178,637,833,626,849,584,588,557,270,254,297,700,461,824,368,945,143,528,543,305,377,558,938,121,100,085,974,506,333,270,106,844,975,809,284,454,847,143,939,192,105,575,821,787,505,163,305,860,289,939,690,293,360,294,830,206,358,270,294,007,055,024,330,781,612,368,918,218,557,299,541,641,934,736,654,882,648,743,298,948,486,599,350,617,088,629,266,841,558,796,235,822,632,701,710,009,105,044,412,850,724,669,708,865,585,750,557,762,091,810,151,495,736,107,583,888,945,157,748,463,561,274,388,317,335,668,219,364,045,582,249,083,830,262,957,980,508,072,411,277,139,385,174,852,682,232,714,814,040,196,472,260,764,421,348,627,267,475,180,475,666,552,151,424,020,010,979,044,325,075,624,296,162,275,993,006,586,946,185,261,833,221,569,018,009,966,104,424,739,660,693,046,649,366,417,474,303,781,644,762,548,381,761,261,497,281,418,149,575,198,275,156,842,601,404,669,070,277,183,872,808,742,207,508,730,904,757,367,637,606,763,361,251,873,021,845,145,155,913,681,819,922,535,594,320,038,455,223,334,104,683,372,818,729,890,489,112,365,708,060,833,881,909,478,128,410,230,733,208,396,404,627,039,995,804,249,189,604,231,106,130,716,714,808,132,767,746,305,052,240,537,891,680,821,146,946,838,900,410,025,690,663,099,449,553,352,315,615,676,239,010,729,465,967,511,192,221,488,139,558,602,644,419,598,615,617,494,290,190,131,274,938,333,044,229,291,424,025,049,188,820,420,055,884,341,239,155,414,179,193,367,806,947,503,485,841,541,250,571,773,305,790,513,564,461,651,812,241,849,233,876,918,693,072,525,748,845,723,183,654,010,365,674,662,651,826,196,939,215,305,953,783,190,928,922,360,312,946,586,073,288,736,836,534,897,118,691,023,027,936,313,380,888,871,568,274,828,223,824,054,929,292,924,703,595,898,530,102,382,323,217,199,318,168,583,536,819,208,135,585,939,876,215,810,634,126,169,136,365,983,871,313,867,969,559,898,879,686,177,037,784,890,244,308,305,177,183,002,774,280,794,615,595,443,664,390,418,484,068,361,929,678,640,312,716,354,328,212,468,585,539,795,527,848,306,568,299,617,428,264,381,444,264,856,349,048,508,565,574,611,661,656,376,287,249,055,682,280,100,261,202,754,450,684,121,330,422,289,265,151,070,682,051,474,784,979,032,983,470,840,918,299,467,583,033,724,092,412,948,795,864,582,729,939,397,540,698,355,309,499,569,425,883,110,607,927,234,209,156,516,443,072,338,234,431,622,404,004,557,973,283,250,422,068,009,266,156,656,745,287,443,788,979,802,058,297,713,502,756,800,996,251,208,936,506,587,905,373,992,082,282,786,529,380,096,107,194,940,024,959,381,805,017,420,172,207,080,235,430,698,966,131,052,020,474,311,938,902,573,508,403,031,949,856,504,666,836,054,215,158,358,922,203,529,951,491,178,332,365,426,505,206,924,423,760,652,355,572,374,309,627,840,737,678,279,455,564,239,949,797,561,362,675,618,788,279,488,424,867,697,283,838,064,573,685,997,407,605,687,714,278,563,413,195,959,875,386,969,829,843,804,552,332,292,265,288,126,226,165,764,786,559,265,495,412,942,977,844,480,803,613,702,966,224,051,792,803,051,872,812,545,672,776,962,560,255,536,276,575,452,233,027,896,556,870,516,119,673,463,708,862,334,068,830,358,596,973,005,300,946,830,865,512,790,968,342,004,394,929,136,304,148,051,261,788,792,178,473,101,700,309,793,490,243,323,183,285,841,186,404,017,957,625,031,438,835,379,738,544,993,166,638,077,442,082,423,797,379,208,415,747,753,582,610,126,391,206,689,795,573,522,558,457,840,554,535,936,625,662,494,427,472,965,846,656,772,801,299,401,361,169,894,728,670,445,113,472,218,085,907,643,849,881,367,574,169,031,874,282,606,388,406,018,251,432,569,321,765,166,064,190,195,371,800,195,946,629,170,169,059,835,360,227,420,937,713,819,154,547,260,150,400,651,595,966,915,441,639,468,646,092,816,599,874,780,996,539,245,212,725,063,242,290,722,950,967,585,528,846,197,610,172,353,600,553,415,219,959,252,959,603,401,327,092,948,618,474,844,403,626,583,024,449,430,975,785,118,909,286,479,215,981,220,839,547,222,483,610,314,458,061,319,675,650,505,255,848,609,463,340,282,276,376,269,043,014,714,597,996,135,187,944,898,122,307,266,654,770,212,926,843,050,679,036,451,375,297,059,578,567,616,596,965,662,092,519,254,084,083,063,406,394,323,488,143,499,920,507,255,205,189,824,732,202,421,005,469,249,771,126,916,030,802,097,931,283,269,357,329,082,328,466,133,576,476,970,593,119,223,685,056,895,145,631,959,944,710,813,678,978,816,062,406,133,938,670,639,619,733,352,185,001,880,939,558,018,668,313,683,353,013,084,853,478,688,178,674,022,576,071,250,918,979,385,978,185,026,821,032,163,468,716,695,096,724,345,351,148,896,345,139,740,824,525,128,138,489,156,540,165,413,509,177,524,717,217,837,065,793,088,615,133,772,480,717,059,063,314,127,277,972,385,434,907,189,131,695,350,361,990,790,757,614,634,222,948,177,051,818,513,274,688,426,518,385,385,766,752,294,965,789,888,171,617,310,145,333,590,038,520,813,216,240,777,729,938,818,330,145,128,660,742,679,216,252,885,070,041,270,668,839,931,511,953,004,233,922,574,573,837,397,628,450,733,812,563,909,055,309,309,799,478,178,919,236,735,884,809,406,674,114,366,295,286,470,035,995,002,170,235,553,245,925,772,077,235,522,992,486,337,345,033,491,689,545,500,746,086,824,395,873,369,055,772,973,825,252,198,469,653,988,373,978,424,015,749,713,244,649,664,468,674,529,122,880,088,748,354,239,988,679,289,643,289,724,557,984,769,617,139,563,276,032,094,497,939,393,888,283,209,025,628,058,551,336,560,835,418,747,379,368,877,861,456,432,389,779,131,552,660,993,069,611,721,435,006,976,958,784,613,742,434,022,640,499,577,747,189,589,085,746,303,613,178,383,760,348,343,980,417,967,036,551,668,235,568,031,494,500,196,865,618,697,923,862,079,128,290,274,520,367,068,981,688,876,928,343,650,998,284,297,282,740,750,950,874,081,244,834,379,396,247,832,168,122,140,589,615,095,849,989,319,914,100,008,489,485,286,650,459,389,149,124,249,993,041,834,569,402,436,950,195,166,273,381,205,694,015,795,238,028,026,109,305,872,336,438,590,781,848,512,139,577,928,102,326,665,619,773,441,672,416,748,686,795,659,284,722,379,584,488,570,845,333,349,339,314,555,476,774,418,028,842,165,766,011,910,690,514,355,897,289,504,206,383,916,574,677,813,906,217,337,351,871,214,804,449,752,678,054,471,362,957,033,342,926,030,848,302,662,644,533,633,308,030,960,404,889,434,158,246,421,986,161,980,000,827,017,013,086,485,762,416,816,374,656,080,416,376,267,219,148,895,253,803,772,738,008,093,893,921,945,536,549,596,533,658,471,518,372,845,389,816,272,438,180,129,209,492,597,239,543,738,584,111,948,010,915,125,931,805,879,355,423,302,222,741,618,605,251,655,019,489,502,531,871,446,920,540,979,787,462,729,626,433,164,125,957,481,830,263,816,256,906,902,192,200,386,245,436,969,182,634,348,727,768,382,874,548,327,439,580,269,113,521,886,370,711,997,965,017,115,693,461,280,584,828,783,829,798,756,385,861,938,958,620,882,623,062,861,111,158,770,524,262,124,743,954,606,857,270,065,340,755,789,941,974,979,501,179,888,077,885,254,327,142,857,157,234,045,617,067,466,114,039,526,263,370,477,237,119,891,828,856,949,235,370,789,147,198,125,234,745,111,869,876,952,762,580,361,583,318,386,407,666,205,190,268,743,754,225,174,048,097,946,202,299,431,525,922,483,300,085,269,822,856,409,040,669,569,737,424,081,935,096,486,592,895,244,020,353,104,807,480,141,879,827,476,757,324,813,374,934,551,501,784,961,304,586,986,542,837,560,692,806,953,285,893,077,353,492,393,589,618,846,402,380,800,799,176,541,808,052,982,083,473,177,848,506,309,840,481,106,052,110,750,375,992,146,274,976,372,605,305,392,320,746,228,448,911,105,629,570,228,092,051,060,145,742,465,639,732,878,836,451,869,438,934,036,943,846,748,195,589,055,538,454,182,311,747,701,253,785,658,245,535,520,803,240,204,758,010,644,790,908,525,981,289,110,082,550,018,029,087,665,306,278,032,312,552,817,513,141,620.16774816379437056
$ 38823590630172586867489699936567091672699747118392048390248495658834815950180213988422468170666981328469013448075955326820401162549428246339483664490850358847093054681245865620220375201551732103272516883415331556049330461856450856479644130408501806900627744925703951399205283167476727389598458802371751228908317003620877063713377381037512516911687089239271756758917768357551539548862441936757388383514510860492860758430051874737442540618675474220590870574752129052588342810103257858244338925837660383996362208351489327883253666849236143206031807300687398754979529743856681937770880274664314945757506400927929250419825340719805403275131192414775267737134699191082388276537981267331423746153926302769605859680765017922657975878518616645893799470032854547112866977093383132953190113369990783526861075552736404858771699956603518693638229278674047283344055329211346816994067906821383268883835576151493946726925344084898623128818334536046324472720878843431603585481298870133631215941664859265799082320140389877632948898937070041469025712396153827960804715278851153086349946867689276030215971601283229925422532512807783483674006406725721906399046837797214389061293347212216081290310981783947453999679372055884276084054973283433769157783740037380138161514597258782324456423463943819805332983948799236392292779426069225133708875090907038063029628718836237881329163578519785907940194329510250332590711245257632405592186018198628604494073133014392230809691907659710574708019211015698042859836326500933165882316464641446919523464841509641415898266585420610190964366372612144349421367642194390734468480787486533870427153382018159241063817329393969141374247939313928838084743291601731680126073503721092938175155506771906976955452479351538794960729077413107746062061312040113200781301064799495372753063863050680113582650498281221605255598120381952028350045211851754078321444875984624860222100525329897225658928303433575926859366489831723668800914680968813397425152705671488941731921524459304528490153822016024880499629211506259359112794598324119565409244244067060768196966986294250135751890926543500309730430289522260922249084348926655654703606361701521901447010831271710969885711161519622950141857604400141511442994185353190022792777474404998238955784178658253002739908943035759876804739608982815224990458629077308872686034715892357565891744843000014073656036419359512561952639585824687863307906531548828818507220970356163043281903917251449746323585072806078638108482587953212427022241775979703865646265444952385125565112458780040098620859865566407758492693314065360937294275310388937067323536627277163746029367773568079978860820094763900625607859257057457934609893071835617747847618022812200659532571396406656539131216172447137473053380109122198194323614125125630326231928049495040346254548050500970280492072766054355197250252411511848491550228470203418122457500345339443672454321876341509054855069061183695959276118359444535442190737868141066058579482952617718409087460523460102562101799347588681499761009080098532164549347939274417134314508522205584321304788816478583291426954131667192184848546388003953799669942471579419754816493522734308420884746967001896890214798656222959558383498901758440885193762146794045910166386648874558898299299357096974574590353310470463752025872744111549426168706777810579406159552876502238997554745202766538391627035471733418893721164202172798603503185053372437893515621627929822509543635889053225167618579648037693533850264968585331269326845028815725680956276308887053264343731990114568515144305841883572738863737757919311374469054446019930744512095833369529914808217789949921168216204658691696880500355171042459209584146488482885574025317297084410516697402905593363253654060948051216236031926384702774495273628080245077313559933450645708316786632422055766887245225925825984831930185914393900959879142092481268491043560902585138003509971000478921039805095016455897785711921182243958372473483900309090735229975333321257209152583065721181305695538793660760069441069648987217011981708036899435290629267052399658098103882718030317194111984646171937164130294380593764063864488886707483230718947719590830987511371593727105387993241228208855250240291228272517752972726855334171381906166162775246107124641894125502665090502383332444803373431526522742204829990807551589366346164565126761318648713993622648219902672793529236839703144703690188905259186257334844386819808623672037411887885152853208953986519859640119867380669732111965376621745002352885535967505985569144857275881055117723499066587298020596614184078833205182208923521489309136550265714804449523399574372916543229523374886342583396068967829145476561272203035249162695333163262024173758974167821751647559088232128701248201777925996884200220720412906725261434275827327286769479029837759778774851725666420806029215556714187682449310088698674318586471250256820775550399319537027946191190987118076000677958484494157378643752011089086574607179919341738369828445859820619403965693443296044672595974132183044986897851292480004361399224343137015316039922031932351606189744691550083004990778432252943499994504488527781182103318646308929462972164344960614435952986984263814606225450793049114390370511309105498565170538161725627456725563431467968718619628439696144280222742011020295889807600102780225633896965042692911575526629547726482175974417944145232178581833042769967466822898223410654343410180338547343186217545483768100783826683161442321560958483450797509020737078967479667557933765753678493664918763432726480227634287972347152424343688331806417275189711306889038785224893719567880026264264479077530617830857309284380042757632351279153036970121471305063781943148484633056019108915769098693940014280260523470090624841305032318958127265128537405536230653351583084711409093749802633974239420991417380050724600472278431378051231495391594373817861204026531226185868202750902911605391427698747001363478990493763102842574274556724371553501308419821095738876190136129079797212953082011215509188579640252702886836927146089222404475149718099953674475833717216689559082714402903473782585923713968922249454563613459147094975468946394231372701224793499165624638654765952609501167908592796182989198213184121495390716927977216199228420105221438957253490062704768645875007467175332806958560833355780345696074768828918697442585977592951274169173639793316897923970734142249314908396311002688669999417304441085167392587995646631784305653486120254458957944622572631490466482928558566541853456953205563745082677758635338920338854349579070145412953591418562149659571632149013556286580031720787225570966071781131671282400672395368617026392369851948691269960098853951179820763397212987840335623475932585911620109414283994766127426316383371119596448017111585186499091695532759525526233034975630379780482777879127747591090518321329032096380224265669137083917619505568632204191146608400353733338120076434586168028186410299310180179824277176657907633850458194928857555422130895191188644247359037028147710028389418807946707038907354356372464468630779428831825056281526358436733378454674207839392847397790735422174624535471780298018416684758386979310268993886415028230711556335080627638048391511629276496192819005675257945731655590376158448794493558519382166461975034866977193561002311046627262405354515470990673583951549618926683438684229506859388379372240712829762596749768013275098025108259126181261809551079534339490726371239438004325513646325642719184548443200751713626225883924457951674835539230725026894795059003417710873810970015084877336481722195145538216827930819392397113390268893168220785017830836020782515825620772816263085432774004748291612298612156221466533829812749810161183554674428923032865863027521198258529289438805773992133797862120596372220131533240664155580643940208688158475914164064822934667484129404412647094984006059235587733657515504702737264571632133794541310194802293997802045865854531355658116017185350415202500720526503818910521370880583050932114637805067753904367069328255808919187643900979701651036862827425163842086724269935207170707399838041191974367025733971631715899825634427232008941805665321017698330613133428500506295968701296350867699186748266768240588305133613988705886421307559935807439178270094335082798050577190587759474592995530488492946562078432371019168525206733788177924540921007994408602577771039583310260839944701123915835305060334691414172518129073733096565373776878471634892773796394530445460594287960627376161387226474659557062742601749560546374674902451165901090691255319526602084667690743516153954417321713514066170369779253123101101250301597443228316942600674175882699621412705109055154537226468579929082911767022455796206351640098339582536911621697219714699875593194999897770307787040308212387721281968722197682620480091564184798867338114831693633708142936036051645077695087936712759861983945545452938661619187172102587364535235412204236400746315899018028911055042458146542626224049854333139548431969284728859212555082641431246495390220670189395321303253032524429741910001766136880702676810646175530507463073498378472624502922816445189362380035932625289187303021522378452870869946880993663268209857317742287874954516645841946268025716604084366428616690315552916624839145325827841277118610311685479219211541766661995816513196308846394682204231456956794712414234290213267179409449055674419232342912785354312112760112805850886366049398691779704700933949527848690477782754088261390751186167331588001162431808995197221072105573543402396910738379244329059401375592244527578405334002446038931413464496217401395388921415495511498653074625542248851389289963387870791655585260940626512628440115488243221452949245922944118460367306736489041113661181800625165689152676225759025656277746101612374341432049111936835234046699421844281108266032479145291954542375306512866396791318482367162884964840401162432534.08
