809,341,022,944,335,381,756,813,559,065,033,785,465,906,651,377,328,739,189,425,119,880,581,403,040,856,301,949,146,078,166,321,633,231,934,237,988,974,861,705,280,459,969,299,736,269,076,034,596,113,189,795,335,680,698,284,673,042,895,231,931,362,911,190,760,568,241,127,364,695,555,757,055,366,509,708,815,291,565,002,620,760,307,399,765,304,166,975,298,628,114,586,162,042,637,243,506,424,624,970,291,217,253,871,387,813,851,217,601,586,858,196,850,860,673,229,212,677,697,674,095,766,951,266,604,314,569,222,225,706,023,518,275,131,085,671,954,894,120,662,713,299,637,913,097,740,108,368,696,562,369,927,645,944,764,493,878,404,068,499,639,939,566,357,640,220,846,045,001,971,006,997,969,153,497,610,899,616,272,592,062,875,637,562,478,359,797,139,640,757,205,716,344,736,446,416,214,004,338,027,446,579,710,009,142,649,950,746,218,571,910,869,455,801,348,394,717,245,128,530,356,496,276,580,201,075,626,078,499,044,074,634,821,430,817,365,164,957,045,151,212,033,400,555,050,137,885,867,615,009,562,246,319,502,911,602,371,707,338,673,638,512,838,201,627,275,880,249,348,498,638,887,478,601,908,720,764,883,779,761,061,911,350,344,803,516,076,520,257,255,255,309,345,183,390,650,298,162,801,996,018,564,404,713,245,186,653,563,576,894,052,682,300,627,601,152,636,276,656,925,556,552,998,063,421,543,476,810,977,750,164,698,124,311,861,166,503,112,570,291,611,114,101,358,729,943,913,768,854,171,038,350,889,209,497,601,418,267,239,202,965,692,989,877,813,211,544,928,209,661,327,182,420,480,434,408,965,794,031,968,148,069,134,489,588,376,083,115,943,006,900,558,034,342,925,619,852,880,708,579,770,798,414,308,148,300,909,832,145,392,197,509,790,130,319,756,712,876,097,675,857,141,860,785,119,318,585,209,454,461,646,791,953,200,942,958,202,332,511,308,547,556,703,531,663,582,096,305,004,689,922,686,844,495,266,037,569,139,959,054,750,049,683,104,824,227,062,165,603,862,830,515,584,043,936,903,944,719,130,621,295,311,287,051,232,951,137,058,835,583,240,746,943,795,216,097,406,688,479,720,450,906,754,791,351,576,122,058,193,882,464,182,011,594,819,344,958,912,772,100,197,001,215,917,815,438,446,380,970,340,106,038,506,894,769,401,234,599,962,399,719,939,120,579,391,153,604,665,142,518,103,244,168,753,291,529,142,825,640,240,380,317,662,714,226,389,670,554,864,221,842,289,791,711,962,334,893,572,845,358,817,803,916,427,107,186,588,119,835,836,297,760,962,301,414,859,504,512,903,391,923,304,406,420,656,300,470,080,788,268,568,501,965,065,879,309,334,049,747,375,251,618,584,772,522,584,684,620,600,059,753,893,412,954,785,716,686,648,996,362,934,409,092,233,737,362,424,792,671,458,007,610,327,849,407,529,281,999,921,311,486,901,163,899,003,449,411,483,964,478,676,933,417,280,310,783,188,083,076,371,306,294,153,874,535,502,432,825,256,654,598,164,877,868,654,884,558,240,668,681,984,780,840,825,548,787,246,870,174,273,319,769,787,209,320,959,386,117,353,274,527,392,895,381,707,905,010,220,098,541,310,391,941,803,755,821,651,546,901,577,269,751,732,768,496,695,091,978,391,647,679,770,553,196,328,861,819,792,718,720,529,579,264,012,944,647,890,586,035,942,101,154,104,349,484,809,493,804,251,951,535,696,104,359,520,423,652,513,939,972,308,391,555,443,220,732,741,089,320,633,493,534,008,208,477,502,511,420,439,832,346,553,580,499,957,896,095,978,479,731,389,120,413,425,297,479,869,954,433,100,120,890,883,536,495,331,872,540,712,903,606,430,603,799,904,739,519,814,979,357,199,276,011,431,733,887,663,506,185,463,490,867,277,876,151,415,756,591,777,447,465,484,961,880,728,188,109,773,484,649,925,382,504,359,063,596,427,682,004,862,381,478,689,408,773,705,842,456,268,941,728,294,359,624,651,173,329,403,848,678,421,180,623,995,364,079,658,515,850,207,155,822,663,050,065,519,190,144,267,972,757,804,646,432,132,352,362,194,659,082,482,822,956,747,635,827,308,900,014,257,771,153,354,906,318,422,605,898,990,592,032,665,938,388,891,389,192,891,252,285,595,506,905,717,632,278,123,351,982,667,819,543,222,204,657,152,626,573,815,344,419,711,025,506,907,303,146,313,832,285,754,794,695,302,795,032,643,899,779,383,460,908,953,191,710,194,270,620,292,355,430,304,719,563,766,023,811,645,411,445,963,346,321,963,906,761,537,881,714,675,407,497,495,733,761,398,609,745,692,300,919,655,868,944,975,618,070,631,111,407,090,131,325,492,587,395,965,947,170,167,655,604,183,836,586,088,594,054,239,608,000,071,007,978,378,190,313,412,399,669,630,987,245,156,640,402,021,254,412,180,490,582,306,000,084,757,951,672,306,633,860,307,874,656,158,363,609,040,256,222,406,590,750,173,638,634,417,656,618,646,649,911,243,390,461,980,774,206,471,407,940,128,896,626,222,448,809,238,351,758,491,651,476,781,596,760,273,775,506,224,799,835,991,679,318,904,451,581,032,056,645,891,527,683,275,034,709,814,667,639,824,505,060,381,502,734,261,778,536,755,965,711,560,472,590,042,161,109,682,284,013,140,252,408,391,775,541,569,604,016,141,875,337,637,197,055,159,699,317,646,850,244,647,890,208,986,924,086,432,000,507,054,997,544,470,174,274,215,573,540,666,917,508,547,670,164,417,151,161,226,898,015,076,209,769,677,125,505,658,871,686,720,764,509,013,427,473,781,927,140,891,048,151,155,126,313,372,882,260,455,613,381,119,476,528,695,056,725,042,779,066,322,947,086,815,420,794,783,038,737,324,761,247,785,491,975,807,194,147,695,381,239,303,787,350,148,913,087,191,820,151,426,716,798,478,292,504,789,084,617,283,114,225,377,194,416,199,275,570,387,627,714,435,588,829,429,807,109,226,785,832,014,717,087,338,588,667,664,092,433,509,664,552,696,080,501,478,778,433,629,227,569,350,282,137,149,158,437,988,032,792,761,408,712,165,991,873,689,939,094,643,154,433,145,356,761,795,143,592,177,380,313,367,547,308,888,989,651,374,828,359,693,874,928,650,776,042,833,115,678,003,817,450,949,183,202,565,450,146,101,249,276,733,302,573,178,205,836,481,360,624,337,675,025,943,002,614,911,618,183,178,118,676,878,685,046,178,853,671,594,881,684,315,247,082,414,036,324,075,334,972,318,703,748,439,504,823,484,269,763,806,713,037,712,826,647,866,218,094,328,053,960,632,415,254,875,209,004,317,016,919,828,345,725,025,311,240,038,557,243,120,023,153,974,270,297,037,790,380,444,940,532,295,065,196,368,996,205,319,205,594,557,776,251,007,585,347,874,364,416,704,657,885,449,800,585,824,634,293,144,432,311,049,342,763,524,967,066,402,897,730,253,901,388,481,124,348,836,284,570,758,799,027,677,658,023,026,578,056,815,920,393,889,011,667,839,571,302,350,959,322,163,535,869,821,747,671,283,132,402,292,918,662,391,888,279,044,783,635,734,948,614,367,819,755,993,226,624,134,343,132,176,365,811,372,511,705,607,334,239,400,538,394,564,765,402,804,927,815,437,247,913,579,333,234,720,893,303,154,455,740,973,947,497,361,698,522,660,437,166,181,345,069,440,539,568,045,026,842,102,279,844,534,321,728,753,506,434,703,107,763,530,318,286,459,991,710,292,593,093,102,819,901,373,851,540,345,260,755,043,684,350,067,813,202,582,336,981,432,805,627,925,172,250,406,885,124,287,474,026,008,046,541,799,397,252,365,328,185,556,115,286,672,470,423,680,918,981,586,700,921,238,789,055,538,523,942,185,563,308,114,218,394,574,912,572,378,788,231,758,333,052,018,991,111,692,142,668,510,898,301,519,010,396,476,807,601,934,236,549,931,740,797,040,383,195,025,674,133,180,834,606,659,874,980,545,821,089,493,213,739,335,294,357,670,339,982,904,758,444,540,753,884,536,397,216,492,864,907,970,890,435,152,265,960,026,167,321,755,896,761,846,591,620,866,056,358,951,137,267,530,108,127,463,834,546,265,839,681,984,468,786,803,533,933,572,382,197,550,772,710,997,979,964,292,741,418,693,874,137,088,200,122,353,515,850,455,341,204,508,580,274,987,709,196,164,930,097,924,492,064,024,238,452,999,729,115,294,302,419,342,480,466,848,033,331,179,417,401,535,707,631,271,308,884,459,139,219,252,264,882,935,374,278,248,810,926,772,086,736,169,154,785,656,175,522,118,699,510,449,198,736,475,725,933,538,777,824,461,070,514,202,086,319,175,764,362,073,064,193,113,371,713,268,874,965,756,490,531,050,604,491,327,220,740,148,696,243,671,489,307,707,710,440,666,491,752,473,277,752,565,890,724,324,140,329,009,775,784,797,075,183,108,740,581,250,065,585,423,323,813,662,099,963,251,846,021,265,116,406,359,715,754,357,579,010,027,127,168,939,124,988,625,388,420,993,981,763,555,350,124,941,857,314,362,270,701,923,976,541,561,599,507,280,455,792,656,670,460,321,666,430,582,770,267,392,350,729,277,232,215,228,965,640,961,950,857,881,285,717,033,166,118,018,254,344,778,026,980,761,489,151,431,382,856,227,054,568,773,724,604,153,013,438,274,554,185,920,568,045,810,000,979,553,524,177,875,015,363,896,809,274,635,441,295,829,760,501,508,802,161,611,377,807,742,877,265,728,187,527,625,641,320,382,944,202,918,212,329,672,873,370,094,982,749,948,554,765,743,465,983,738,194,788,899,479,493,270,025,977,120,607,486,478,921,060,342,909,632,250,910,046,856,248,449,500,711,016,107,095,027,683,010,176,947,359,757,845,893,717,001,136,685,581,013,485,909,339,344,725,329,577,635,382,807,018,393,983,856,040,038,698,570,361,464,263,747,075,090,569,619,956,511,892,187,360,237,289,821,537,038,856,571,346,525,535,656,755,998,157,362,145,724,707,776,503,212,909,161,294,631,589,426,731,665,154,523,697,642,054,441,377,706,239,768,057,170,843,415,880,147,819,945,431,703,558,535,901,942,943,866,635,369,558,229,879,281,924,113,454,473,526,372,825,257,929,209,414,352,264,791,482,404,161,527,136,296,122,802,903,429,118,936,332,031,948,739,167,782,621,628,078,849,642,554,753,011,216,415,101,105,868,746,832,403,609,994,666,150,774,160,786,150,312,316,379,812,717,359,049,251,280,440,988,361,868,124,731,929,285,775,417,556,845,966,480,067,820,204,131,534,010,134,589,287,090,867,271,216,738,134,155,130,936,857,505,093,072,990,329,081,321,106,869,341,099,794,679,986,377,619,559,846,205,092,810,163,774,094,357,995,408,339,210,563,313,468,915,308,801,356,254,461,798,417,845,655,994,799,749,805,561,246,186,740,518,493,786,736,053,120,576,879,086,704,867,686,023,645,470,282,078,384,317,619,636,579,251,796,166,337,543,968,954,483,228,741,820,023,603,370,203,957,118,229,904,158,129,363,155,162,494,680,739,294,923,955,082,124,627,205,591,882,663,235,181,586,746,560,434,226,762,193,401,621,179,615,174,264,474,224,796,748,665,000,772,973,637,533,130,622,335,952,246,516,907,508,237,925,706,612,281,766,107,971,422,500,654,381,426,588,387,239,950,114,811,571,410,577,913,784,468,772,964,123,931,229,983,831,969,454,060,881,383,438,178,074,607,987,894,155,341,151,281,778,807,317,285,885,250,498,707,051,099,610,085,371,872,948,030,262,130,914,361,103,762,272,679,607,179,917,260,165,959,901,766,768,788,878,172,793,245,255,950,831,165,547,976,106,156,199,506,732,032,548,120,013,140,008,476,568,121,407,394,009,137,281,772,558,578,011,768,421,996,301,908,984,252,762,938,876,621,889,850,416,741,166,393,545,685,124,196,965,800,538,622,565,106,453,517,396,360,765,053,539,339,914,183,096,189,509,923,562,357,887,928,160,636,318,192,863,362,747,786,978,097,064,489,541,602,200,704,006,604,953,536,896,586,152,269,224,236,484,023,076,950,336,297,557,115,296,067,305,147,852,943,129,389,299,905,154,364,217,206,071,866,599,129,328,958,157,866,572,988,313,138,657,586,845,632,843,093,355,121,328,317,256,505,153,254,723,276,778,048,972,136,420,705,065,984,975,342,183,630,340,144,595,436,197,202,706,967,514,060,211,001,614,194,531,016,896,786,401,080,390,432,963,244,215,057,809,140,627,178,740,614,109,294,651,105,552,516,201,040,690,309,514,944,624,877,242,282,206,667,298,103,803,366,356,514,289,662,872,054,895,943,992,675,465,766,804,906,649,304,838,329,722,932,402,507,202,427,108,979,415,565,812,695,988,016,258,204,056,624,870,165,757,267,881,628,197,933,534,782,490,679,567,468,650,867,611,853,367,538,145,231,656,978,765,184,584,838,400,604,144,778,768,984,921,805,548,066,563,222,453,233,207,532,017,276,920,591,982,047,583,357,255,360,544,957,756,839,723,049,541,418,480,231,444,015,519,349,842,931,524,658,660,754,759,604,161,242,393,421,903,674,357,032,140,047,969,683,211,556,095,418,944,795,796,048,589,451,484,964,887,153,336,119,478,599,490,325,242,516,917,281,043,957,645,043,418,970,328,337,557,210,039,757,038,422,901,903,603,530,831,875,363,005,055,575,967,963,009,251,622,946,558,879,040,396,578,651,753,187,200,891,585,027,145,755,703,436,911,015,360,100,446,405,722,179,756,694,952,274,034,957,043,732,865,216,691,881,387,722,468,232,016,600,353,445,176,536,005,935,474,189,811,727,481,455,043,524,942,979,576,051,138,081,796,671,730,923,403,605,286,743,863,360,181,600,744,921,339,954,545,473,310,933,370,122,145,508,474,079,645,021,006,958,559,381,631,143,471,813,785,823,650,550,115,862,521,937,542,957,027,541,712,407,097,881,887,713,307,127,164,945,975,641,100,929,079,082,362,588,598,735,986,204,153,504,560,071,142,528,782,133,143,165,546,458,071,660,208,339,393,479,951,936,443,713,458,387,286,936,768,253,135,971,180,911,390,963,011,550,963,254,803,410,576,971,234,619,154,485,980,015,541,399,217,991,626,976,659,970,445,997,242,615,288,836,107,500,363,529,271,940,802,433,117,540,506,919,958,930,440,017,094,719,788,945,225,662,560,146,722,366,745,332,169,631,486,325,724,290,158,676,464,021,500,724,735,237,902,299,420,095.389780977639227392
$ 2742544654844170979817434034250137695027248942490096291199797216695728626825996406129460358181844933274848889001400603008225373837730118622011953853614083199315217128930266087571400754070739824120058307117813979272025977072910982695587892439778450309602196683840540356370670920354202717726426948844830420540101247103959720433999486713018277929082742309572589881349912164994526064989142144931272459213460344645382015282817988163161136542837436105164091405652310630011712407788733990322710984418071875137877783103556418003930907084607381460626587063567214752306538571428769160460665120133365509239817670953594264094127282144493157911083313286270182159222033060219843173830480984989781320194662257406743292722215738196538355479249981850525458973215244968612675939518555000186742894341294245486789351710681743002375711123831196376884855472812327175979880024067690887233777477715393015298059327187947766592557802743410207221816683815623024733080450587981530956368019582954910640528216575848763152413959800049162839021604399518219561771655540473283969043942709062948605871417366443170126595613974493925823837848465263488903074418538528406951440599594489664654512241838073006797226155685107767720601212739741063850975125505867441184841755739129893671766156166709353530261997640848674002892139931826011801874796530188469310262380020229854941099847355159092832580311732815339996874864254173730457157702593422369968424468116939675295629819208752999045077376626101265116862826738252259541242972627547783957658507795013650024621481235565603132571834456202936257293120428921833712421393845447804748689357343773701583242954587338196925115576901992635285293989864020586918725207941710207619897082477118450422479063858027826706578419250073790698425336851650806039071925632828348317904593276859283388036796317929194779170959757062608904429603116475739714197352527681377790183176570505094559345064546878420876841288306920020545552851993044659418373170449095208867573808847555437193206630391477788206091833505025289504213518601615911194136279453257854349508213740051715801622795857964374315823317624476762425898452236212818725303173534081119619410362165180515175486498693888554003721938519137418620911083290958794631820707942261448589134176216476151000261128840452534378176068868156693730106210651164816893097253096522690823022773155504146357810246165470925491398161710710624863017123120769485363061059651319214554259182298951479377924233556122391792918769644516315027964912825009909449456657128950632414902639527128227143801677111297690164351435207893738720702258753982074210867082019210930287808676528577803940351294057057055358303347254184889681602921994400482858575679888821264929635696338472948977478986985837490898933593204602185371125094764671740045240955182544970287199587389635788836799619321965760853107449813026351447594802519678598371437242047484450411708011894786560959132358965393549756855071525089263712176544266927223158980769247862908746740594581935526816033107421054500061725991558589429598558768345773945014027134683545125425434355821949037553212583003033185352666882603866960926229504000493686955032299325156846794247984264741774400344214160900772622896555144748995450969731381328149645056084918882806292534182195216655767548119366503912289200159930514174556769017078956935717526645472079223699313642349521080717744469741270069293848925742195872105669657954476261368792537112821508879585636323228787955249238212010724686227168340903994567418750110431284626075658029958992919351572342536568156502307196751730278284781999387114353590861542775508770463165227799131762928138400197860455767215453506816973170895740352081788616278954276157658196558660063199014058019682363188554502147408388439318157811577032127940670734429996635258993974496640100731705016719920143928120272380182403063305168271296692472593653089826837181573631579422734439665479662496930877526862872535180489599632234942748922393096151651774022044526114169474639596895267538119277305558829263870036494797864515257768968943377008913291165088333527674085891901040226209640376591805040869062852360168761842163901001104475323862793628030587651992088138292438412806125778278586312588572939452596097081061264475092076245355791705929902478878917594906983931309512744198999508666770309628055597609391593729033386756119093943958599981995328294947204882309963649915220435139170573932518278131872084212475414391440526939621575404800417930818842699824816914967163610154000387871298904814727694120068311546301888678727866477030553911202729033937396584888389956680859987148271808212718781707951985745441615624374669732288661787823953602859486411190750146641612130752608612706345958447260156856065919507938249572537020922205521380711572631428937959914083642374126831514208130790473753404901409132701605345607632627425052700335768751317382787069769161039162785398328956294936383313886930247101048717607383478800229399223293800016698711475880918703283075565274828622805098340637738427382959231308137757703439494815640145073723976723456271833881742871787267044484967680147775174238242438691613139177366052479200819606339891786661761087208417088296265178486834303822353942307802223498408592536409159956676996067316770657455105737612012902480222605895504214728916590805676423450394088093755377726018184706090670333617604762481199874425759156439487771165162587619889044622053349211803852368085352058289993562277662150592599759622944558213551605838849845163400645456878884478814214151197422764198093798824698955413739056948105156685708395066358765934005532946011112268989040410998171085985322843907649560294772132355926848212339587308090310712339222238499443199817651020564802194751981365881835513010052129838580653228055666688529017793529451467742998541500140407732124826440701548064610268213172438776131710893276309846861349687459644188371290088110798829136784249963102780114865257714313218147445157306713077945817996552580768970621134240094129736774989041030528489917914602412968293549918484570845096631271979154933639317748401178822279151432725401257222503331878085736967843132505000172273700704073868974870616974158412451118766867796565665927645197822392674624884918775221834000858039936034344123503432453109245423742177663161119906552773086334425228541552456792138574599079693703991008075982945454108580375676891189606950142737009986782137713021247521309039937159911491749936558232784140900463357180476766010868511132672873250829765443282820758376919103928412371931989869442450833385173288690845639775463788801942741400746042138991683453664311073235860898873437827937689662529745268501804880628373736292310142324564557510622741824225079666921451945267101356069711372989449263484523749018957107263457727661980223429018749259131083328707652653590230743815899653347599679263899993268827029463836962736802744473437422359984819530326988290270573874122625625540370690081867638489139097422119284250051894013259236825725552492883906102230920060597951719068896136845557099996717404813818303232571622319858480580517327860529318608661151142368212695365991476172699063972001847912888105011009241114680986710182661049174094790708831688471565226430705776422076376222766454330773244009966501469734218880193995168926967830816732163826038065088509213175901569775639886597739421671408140723496179997212904213023686014895035233866257304538992012106782176018381237998317606002208035996699106326795676009500125807109843367157871163131210309588599893888647909201819137263063079823953947114277773311527190011070757790551493725260429690576640030411771811953545459722811478888534578041606400716991488251085668603306001535213105316126915692874764508759556217416098007007222882764028028827307119685054501132040492357645931894376887066882155427383904482452933792684599241078852293637612884230754192829402493871613613280019488589621159532341447273959998317459416782889792520763316135573134354473520132894063649012555160385974297492083810838734698772444639901532329720131669542909326197940199830237656192921631864593332685661052603621804585320840118233585442175756985919775803283505054114396073149682500259487465134309276263996680698192699752634756957225468403411949919900627327019985662217245948165731436407372541667904717346621473049037891710624546004090135762910739388157781119147631603015211796853357661189620661437562498162947062002358522847201631380925066708226990449723976842608440541845043777240852057037920311414913842638822798075328704272933906083031600351054304620814913400698318398747603736864658934468513864109827295832078993743360864046349893103487415705745132635028677770506134909257450542998514982506773760908293640993499314493507324454392601848210938002438533714862483805451097150331429214314314417402183155447281145281436461186646678530468799698870566318914181334495845537638505914819830920717268058179013752303151154508258378553099364896436796593853065396677589361865028197214595000119953115647103826291273776328201369737254090120934012903199585629256319176358641089057672489772718950995415491689426128851144566578699124251113301670647157081138610144350525053273521287954767647425063815345243350159980185479484052885305343590981199072992507666032920061090770564757899916844946369719060239938969977993550084345636669974669653308794972343961403893660432074659366243104062877457452930292998609456624925616580402079471028281230534317887583258746851671001962818815666224807654134774253099981514716381385326361060327439275796742565069040669232667265362128709150803198985956018670194281880803097338644043808155233641851752734315294681699347961450676356782572717049297024805801516563004695731496742627656281767190673108749238514171435619555289028023144073981707172984557666701774121686396413934347443710404193572932279749963231625061070481030547549634997393941678769599279256650616492535424110622258161370813183539314194921466737809936003284770019.30
809,341,022,944,335,381,756,813,559,065,033,785,465,906,651,377,328,739,189,425,119,880,581,403,040,856,301,949,146,078,166,321,633,231,934,237,988,974,861,705,280,459,969,299,736,269,076,034,596,113,189,795,335,680,698,284,673,042,895,231,931,362,911,190,760,568,241,127,364,695,555,757,055,366,509,708,815,291,565,002,620,760,307,399,765,304,166,975,298,628,114,586,162,042,637,243,506,424,624,970,291,217,253,871,387,813,851,217,601,586,858,196,850,860,673,229,212,677,697,674,095,766,951,266,604,314,569,222,225,706,023,518,275,131,085,671,954,894,120,662,713,299,637,913,097,740,108,368,696,562,369,927,645,944,764,493,878,404,068,499,639,939,566,357,640,220,846,045,001,971,006,997,969,153,497,610,899,616,272,592,062,875,637,562,478,359,797,139,640,757,205,716,344,736,446,416,214,004,338,027,446,579,710,009,142,649,950,746,218,571,910,869,455,801,348,394,717,245,128,530,356,496,276,580,201,075,626,078,499,044,074,634,821,430,817,365,164,957,045,151,212,033,400,555,050,137,885,867,615,009,562,246,319,502,911,602,371,707,338,673,638,512,838,201,627,275,880,249,348,498,638,887,478,601,908,720,764,883,779,761,061,911,350,344,803,516,076,520,257,255,255,309,345,183,390,650,298,162,801,996,018,564,404,713,245,186,653,563,576,894,052,682,300,627,601,152,636,276,656,925,556,552,998,063,421,543,476,810,977,750,164,698,124,311,861,166,503,112,570,291,611,114,101,358,729,943,913,768,854,171,038,350,889,209,497,601,418,267,239,202,965,692,989,877,813,211,544,928,209,661,327,182,420,480,434,408,965,794,031,968,148,069,134,489,588,376,083,115,943,006,900,558,034,342,925,619,852,880,708,579,770,798,414,308,148,300,909,832,145,392,197,509,790,130,319,756,712,876,097,675,857,141,860,785,119,318,585,209,454,461,646,791,953,200,942,958,202,332,511,308,547,556,703,531,663,582,096,305,004,689,922,686,844,495,266,037,569,139,959,054,750,049,683,104,824,227,062,165,603,862,830,515,584,043,936,903,944,719,130,621,295,311,287,051,232,951,137,058,835,583,240,746,943,795,216,097,406,688,479,720,450,906,754,791,351,576,122,058,193,882,464,182,011,594,819,344,958,912,772,100,197,001,215,917,815,438,446,380,970,340,106,038,506,894,769,401,234,599,962,399,719,939,120,579,391,153,604,665,142,518,103,244,168,753,291,529,142,825,640,240,380,317,662,714,226,389,670,554,864,221,842,289,791,711,962,334,893,572,845,358,817,803,916,427,107,186,588,119,835,836,297,760,962,301,414,859,504,512,903,391,923,304,406,420,656,300,470,080,788,268,568,501,965,065,879,309,334,049,747,375,251,618,584,772,522,584,684,620,600,059,753,893,412,954,785,716,686,648,996,362,934,409,092,233,737,362,424,792,671,458,007,610,327,849,407,529,281,999,921,311,486,901,163,899,003,449,411,483,964,478,676,933,417,280,310,783,188,083,076,371,306,294,153,874,535,502,432,825,256,654,598,164,877,868,654,884,558,240,668,681,984,780,840,825,548,787,246,870,174,273,319,769,787,209,320,959,386,117,353,274,527,392,895,381,707,905,010,220,098,541,310,391,941,803,755,821,651,546,901,577,269,751,732,768,496,695,091,978,391,647,679,770,553,196,328,861,819,792,718,720,529,579,264,012,944,647,890,586,035,942,101,154,104,349,484,809,493,804,251,951,535,696,104,359,520,423,652,513,939,972,308,391,555,443,220,732,741,089,320,633,493,534,008,208,477,502,511,420,439,832,346,553,580,499,957,896,095,978,479,731,389,120,413,425,297,479,869,954,433,100,120,890,883,536,495,331,872,540,712,903,606,430,603,799,904,739,519,814,979,357,199,276,011,431,733,887,663,506,185,463,490,867,277,876,151,415,756,591,777,447,465,484,961,880,728,188,109,773,484,649,925,382,504,359,063,596,427,682,004,862,381,478,689,408,773,705,842,456,268,941,728,294,359,624,651,173,329,403,848,678,421,180,623,995,364,079,658,515,850,207,155,822,663,050,065,519,190,144,267,972,757,804,646,432,132,352,362,194,659,082,482,822,956,747,635,827,308,900,014,257,771,153,354,906,318,422,605,898,990,592,032,665,938,388,891,389,192,891,252,285,595,506,905,717,632,278,123,351,982,667,819,543,222,204,657,152,626,573,815,344,419,711,025,506,907,303,146,313,832,285,754,794,695,302,795,032,643,899,779,383,460,908,953,191,710,194,270,620,292,355,430,304,719,563,766,023,811,645,411,445,963,346,321,963,906,761,537,881,714,675,407,497,495,733,761,398,609,745,692,300,919,655,868,944,975,618,070,631,111,407,090,131,325,492,587,395,965,947,170,167,655,604,183,836,586,088,594,054,239,608,000,071,007,978,378,190,313,412,399,669,630,987,245,156,640,402,021,254,412,180,490,582,306,000,084,757,951,672,306,633,860,307,874,656,158,363,609,040,256,222,406,590,750,173,638,634,417,656,618,646,649,911,243,390,461,980,774,206,471,407,940,128,896,626,222,448,809,238,351,758,491,651,476,781,596,760,273,775,506,224,799,835,991,679,318,904,451,581,032,056,645,891,527,683,275,034,709,814,667,639,824,505,060,381,502,734,261,778,536,755,965,711,560,472,590,042,161,109,682,284,013,140,252,408,391,775,541,569,604,016,141,875,337,637,197,055,159,699,317,646,850,244,647,890,208,986,924,086,432,000,507,054,997,544,470,174,274,215,573,540,666,917,508,547,670,164,417,151,161,226,898,015,076,209,769,677,125,505,658,871,686,720,764,509,013,427,473,781,927,140,891,048,151,155,126,313,372,882,260,455,613,381,119,476,528,695,056,725,042,779,066,322,947,086,815,420,794,783,038,737,324,761,247,785,491,975,807,194,147,695,381,239,303,787,350,148,913,087,191,820,151,426,716,798,478,292,504,789,084,617,283,114,225,377,194,416,199,275,570,387,627,714,435,588,829,429,807,109,226,785,832,014,717,087,338,588,667,664,092,433,509,664,552,696,080,501,478,778,433,629,227,569,350,282,137,149,158,437,988,032,792,761,408,712,165,991,873,689,939,094,643,154,433,145,356,761,795,143,592,177,380,313,367,547,308,888,989,651,374,828,359,693,874,928,650,776,042,833,115,678,003,817,450,949,183,202,565,450,146,101,249,276,733,302,573,178,205,836,481,360,624,337,675,025,943,002,614,911,618,183,178,118,676,878,685,046,178,853,671,594,881,684,315,247,082,414,036,324,075,334,972,318,703,748,439,504,823,484,269,763,806,713,037,712,826,647,866,218,094,328,053,960,632,415,254,875,209,004,317,016,919,828,345,725,025,311,240,038,557,243,120,023,153,974,270,297,037,790,380,444,940,532,295,065,196,368,996,205,319,205,594,557,776,251,007,585,347,874,364,416,704,657,885,449,800,585,824,634,293,144,432,311,049,342,763,524,967,066,402,897,730,253,901,388,481,124,348,836,284,570,758,799,027,677,658,023,026,578,056,815,920,393,889,011,667,839,571,302,350,959,322,163,535,869,821,747,671,283,132,402,292,918,662,391,888,279,044,783,635,734,948,614,367,819,755,993,226,624,134,343,132,176,365,811,372,511,705,607,334,239,400,538,394,564,765,402,804,927,815,437,247,913,579,333,234,720,893,303,154,455,740,973,947,497,361,698,522,660,437,166,181,345,069,440,539,568,045,026,842,102,279,844,534,321,728,753,506,434,703,107,763,530,318,286,459,991,710,292,593,093,102,819,901,373,851,540,345,260,755,043,684,350,067,813,202,582,336,981,432,805,627,925,172,250,406,885,124,287,474,026,008,046,541,799,397,252,365,328,185,556,115,286,672,470,423,680,918,981,586,700,921,238,789,055,538,523,942,185,563,308,114,218,394,574,912,572,378,788,231,758,333,052,018,991,111,692,142,668,510,898,301,519,010,396,476,807,601,934,236,549,931,740,797,040,383,195,025,674,133,180,834,606,659,874,980,545,821,089,493,213,739,335,294,357,670,339,982,904,758,444,540,753,884,536,397,216,492,864,907,970,890,435,152,265,960,026,167,321,755,896,761,846,591,620,866,056,358,951,137,267,530,108,127,463,834,546,265,839,681,984,468,786,803,533,933,572,382,197,550,772,710,997,979,964,292,741,418,693,874,137,088,200,122,353,515,850,455,341,204,508,580,274,987,709,196,164,930,097,924,492,064,024,238,452,999,729,115,294,302,419,342,480,466,848,033,331,179,417,401,535,707,631,271,308,884,459,139,219,252,264,882,935,374,278,248,810,926,772,086,736,169,154,785,656,175,522,118,699,510,449,198,736,475,725,933,538,777,824,461,070,514,202,086,319,175,764,362,073,064,193,113,371,713,268,874,965,756,490,531,050,604,491,327,220,740,148,696,243,671,489,307,707,710,440,666,491,752,473,277,752,565,890,724,324,140,329,009,775,784,797,075,183,108,740,581,250,065,585,423,323,813,662,099,963,251,846,021,265,116,406,359,715,754,357,579,010,027,127,168,939,124,988,625,388,420,993,981,763,555,350,124,941,857,314,362,270,701,923,976,541,561,599,507,280,455,792,656,670,460,321,666,430,582,770,267,392,350,729,277,232,215,228,965,640,961,950,857,881,285,717,033,166,118,018,254,344,778,026,980,761,489,151,431,382,856,227,054,568,773,724,604,153,013,438,274,554,185,920,568,045,810,000,979,553,524,177,875,015,363,896,809,274,635,441,295,829,760,501,508,802,161,611,377,807,742,877,265,728,187,527,625,641,320,382,944,202,918,212,329,672,873,370,094,982,749,948,554,765,743,465,983,738,194,788,899,479,493,270,025,977,120,607,486,478,921,060,342,909,632,250,910,046,856,248,449,500,711,016,107,095,027,683,010,176,947,359,757,845,893,717,001,136,685,581,013,485,909,339,344,725,329,577,635,382,807,018,393,983,856,040,038,698,570,361,464,263,747,075,090,569,619,956,511,892,187,360,237,289,821,537,038,856,571,346,525,535,656,755,998,157,362,145,724,707,776,503,212,909,161,294,631,589,426,731,665,154,523,697,642,054,441,377,706,239,768,057,170,843,415,880,147,819,945,431,703,558,535,901,942,943,866,635,369,558,229,879,281,924,113,454,473,526,372,825,257,929,209,414,352,264,791,482,404,161,527,136,296,122,802,903,429,118,936,332,031,948,739,167,782,621,628,078,849,642,554,753,011,216,415,101,105,868,746,832,403,609,994,666,150,774,160,786,150,312,316,379,812,717,359,049,251,280,440,988,361,868,124,731,929,285,775,417,556,845,966,480,067,820,204,131,534,010,134,589,287,090,867,271,216,738,134,155,130,936,857,505,093,072,990,329,081,321,106,869,341,099,794,679,986,377,619,559,846,205,092,810,163,774,094,357,995,408,339,210,563,313,468,915,308,801,356,254,461,798,417,845,655,994,799,749,805,561,246,186,740,518,493,786,736,053,120,576,879,086,704,867,686,023,645,470,282,078,384,317,619,636,579,251,796,166,337,543,968,954,483,228,741,820,023,603,370,203,957,118,229,904,158,129,363,155,162,494,680,739,294,923,955,082,124,627,205,591,882,663,235,181,586,746,560,434,226,762,193,401,621,179,615,174,264,474,224,796,748,665,000,772,973,637,533,130,622,335,952,246,516,907,508,237,925,706,612,281,766,107,971,422,500,654,381,426,588,387,239,950,114,811,571,410,577,913,784,468,772,964,123,931,229,983,831,969,454,060,881,383,438,178,074,607,987,894,155,341,151,281,778,807,317,285,885,250,498,707,051,099,610,085,371,872,948,030,262,130,914,361,103,762,272,679,607,179,917,260,165,959,901,766,768,788,878,172,793,245,255,950,831,165,547,976,106,156,199,506,732,032,548,120,013,140,008,476,568,121,407,394,009,137,281,772,558,578,011,768,421,996,301,908,984,252,762,938,876,621,889,850,416,741,166,393,545,685,124,196,965,800,538,622,565,106,453,517,396,360,765,053,539,339,914,183,096,189,509,923,562,357,887,928,160,636,318,192,863,362,747,786,978,097,064,489,541,602,200,704,006,604,953,536,896,586,152,269,224,236,484,023,076,950,336,297,557,115,296,067,305,147,852,943,129,389,299,905,154,364,217,206,071,866,599,129,328,958,157,866,572,988,313,138,657,586,845,632,843,093,355,121,328,317,256,505,153,254,723,276,778,048,972,136,420,705,065,984,975,342,183,630,340,144,595,436,197,202,706,967,514,060,211,001,614,194,531,016,896,786,401,080,390,432,963,244,215,057,809,140,627,178,740,614,109,294,651,105,552,516,201,040,690,309,514,944,624,877,242,282,206,667,298,103,803,366,356,514,289,662,872,054,895,943,992,675,465,766,804,906,649,304,838,329,722,932,402,507,202,427,108,979,415,565,812,695,988,016,258,204,056,624,870,165,757,267,881,628,197,933,534,782,490,679,567,468,650,867,611,853,367,538,145,231,656,978,765,184,584,838,400,604,144,778,768,984,921,805,548,066,563,222,453,233,207,532,017,276,920,591,982,047,583,357,255,360,544,957,756,839,723,049,541,418,480,231,444,015,519,349,842,931,524,658,660,754,759,604,161,242,393,421,903,674,357,032,140,047,969,683,211,556,095,418,944,795,796,048,589,451,484,964,887,153,336,119,478,599,490,325,242,516,917,281,043,957,645,043,418,970,328,337,557,210,039,757,038,422,901,903,603,530,831,875,363,005,055,575,967,963,009,251,622,946,558,879,040,396,578,651,753,187,200,891,585,027,145,755,703,436,911,015,360,100,446,405,722,179,756,694,952,274,034,957,043,732,865,216,691,881,387,722,468,232,016,600,353,445,176,536,005,935,474,189,811,727,481,455,043,524,942,979,576,051,138,081,796,671,730,923,403,605,286,743,863,360,181,600,744,921,339,954,545,473,310,933,370,122,145,508,474,079,645,021,006,958,559,381,631,143,471,813,785,823,650,550,115,862,521,937,542,957,027,541,712,407,097,881,887,713,307,127,164,945,975,641,100,929,079,082,362,588,598,735,986,204,153,504,560,071,142,528,782,133,143,165,546,458,071,660,208,339,393,479,951,936,443,713,458,387,286,936,768,253,135,971,180,911,390,963,011,550,963,254,803,410,576,971,234,619,154,485,980,015,541,399,217,991,626,976,659,970,445,997,242,615,288,836,107,500,363,529,271,940,802,433,117,540,506,919,958,930,440,017,094,719,788,945,225,662,560,146,722,366,745,332,169,631,486,325,724,290,158,676,464,021,500,724,735,237,902,299,420,095.389780977639227392
$ 3140894250492511075411521256230154260211102760229505717630990156951699775679461228900731305416623598078002381615618408308117485548495705502987333301808823667150527054448739124338892738149019966003470256363419968890644859889236673892568439050058996744139836573114669580064269928507514693968492081573120554643480630287534780485148669888662035951842836748259473589079501583996736849316629508996841709119272987228921840957876028700023821379997936118241442268490501998943972012118071816402222072069952567231338299810032280114602362034258859916592006011627813784863159707097721960989250454327363555199551035838208209926773106444657496653320209000710810041109249677098206145325135537495583497056737159281822852089247732727181369581133312752831555750490595310956144557987937535092101260564721493919796875538653158413849993430128151986995053104639639830875543157749303899596783824637738579163755595881062591383447374196363751878561236563273516559254008983887456052005608257991284110242076702643032802047612848094400258340746157471926866603676451541970168279748764284572917589926046271705694201610267020238761876587883660696738814253645931799218319869032346787231969035906252997574597658938983001225305291141659128194734034265385154853927727253543045339902435845663231147638599852543255395081814102808307877404401192146185585065820510247215615073140574186894945612202490761913834017885383927272094194827243041761140823115993023709178909727027740710852731427188746391387611746887320381514453481036377070517508984451468553397373371600380321731371034583035272663240155605606563710576221926842567211672987380713825704505932311993029529739848137039485017193661214428585507119668211868851307314036836402948355350115971299478089027697505225829352386987577224997606602156354646336525246742690565471664416388149967826316615288057001367525884259089451511901736800450652356323890651460587973383738838472616162395048866773229055062331795299338028600863950459236177904067900469308905138156662933609850779521910991524142686565506285241315928575917211599316485496530724783886509575767507361211902063033138425479782066794004776095002577550784258733413992704578040062432008022477412547297753061882955114279207823773581135749427415318911476702148602328137781720504870597664264900666573297348235994757978238446912253897071601374198513176896163502728877385021137195135881111999209353213534018466499657248250238030575251455027014814997067849941987807485849962405710607656280239120606234053925889115877705315444604652749627926327863171682935289192434164154138236597064194145926427197853665109207090431636144383919523231774076197173910446063058759469198418410622597302761764289615819165511039512938011961223161479958470495337737007759831501503113625125604476355802187746997662696453507606783745000801071131732951061782770667249545983254620414943693245114424499543458682260496859728961022750712075175853660321155935098706587069343776528511075805997656028965926697282383008042570318594422111433752244083098523609484788480892455670881551690295340767200497896053685036552298994091405653482449012096907395503624244052005081292011140732443373586671065944987785331633085669768715846450428485823995973419761368884797056380882636879846266123553265299704823103078581178162303824703399103244539586330324177729092471702461585527036228252554782603945244188782781333191997659732654099161428782747656588391296491332955622822530162584740811206640265962876280153169737702129566597025278853811249218089115635802052770006693465573364352887539282335203316431725050323045385650291714960192459417128967624709428866718353570285659237647624060761803956388383339678250416366798893823392872866528288182617167081180022804415542117794495945928676964928899246762425634367644055139535278573334212275009761911993550641393000112955665057534425070269791969078239759294302197760305501692050318277045515136033705778954373232562445649069172836456753149600593766027989735259904643118377952508145259730224703483932887004650145364371234103070129316243758820065767941844908858116151931740683991799056543583134171646877327773885048195393887751990795879691681309123690357474651910524510400677212020917651345348078613417273786911599883490771009228592315206045546052494570143357967235813360928352096665298517626116523495387158025678473587610992408446590879390773485096694715140271982737545051565590474012809007614231363329062848893271177296345195902071308133170078810786941806190030216048791346595259858318986234288171288420641054892371076865871449918260554949198580006837220116842384732744126836840650566901581417562072588944218576012543172985227144115861513951279324926838077109062970540925232915245393418154736342064077533426002285131042641904545606335636577635765093894022443279151005317596804308878095561681432793131062410246897419954663643257108108953206720980471762967394796825352938796495904668397346953030329167508360175585551899111000245545374668299928967271929210151470952853046715437995656611983642168735156826010491942172315046887456623864160557286282782475743769438208189311459958213798165533637512308405928691528615292482668568028629863949322467505369496712260761923568098089706891334247417227706567004009779704306009637377216543184486160145221260787709755738398991082568774660688223899017994085357341626955478516067749185673882725924350234384531530490367035022381758089235341367593846759896143756240887981530725025780432832049752427578192015496240698438653791109297274567998150439368501536845921938355542802578204778058515741161568074112902271957433405668569964531264996531986781127947860564290935134924953732656373001525882745869944702334090940270851202758678302111302484147334482857217949570457263345901797482150785683544014602854185045008090074855773910025629387110925691385361629348838603577713477660552285009472412771255486218026414622024500591417792405672568262197229915225215913223882615052098062239883363928388101912020474691455890535662926525745204564055058066925194128430412247907718899120499097858835166973802330617454848016113159449542934351689324137615860168714105397873436097959317338967138191954934004443111570920544299613725359587376986767547240782611086993144275913526238461297807382150647059279154023480711409941617249749124154000788297109745902515716155927167959888710614642246937930880232976568797073600203618084319633710306263283733685534096010982767167891943113043861150967332826329838049765150808762693438741146720146969683317387278911132250740721150305913858623113996809724702917218986259534566775018115240118793360377170710688275173672108599418624994362283906457800671382662549176278173139532285813791811093091160865861533342266044771698438688098990207490807524476127004690350897126474190171624782997984416877555541979957713998652267278944022458571626229363085505691397461158953315595226702280228868758649066497395133346028234617996792429026633511624210210444392307522173451383520185409951265606237270861521896546236701620336848302338770691506839490437104699503462966524655355676029687043718000933299732124109057214398422957940805543479536084063094660369164470722994926606328007538750299317140147634084280906270635567409200088164916955336857161017641904259379528374559588916720401562093706866341867482981255027341947740685749949080165732703878827476131356232946667258438121419800849289558965344276167069720667819964917437494544818948937870124984821797436393187758367293364672689537024116701916294034214583608887882060520036755881494320582079178442670864858905984789217261253851977156481320265870576171277463795185809352035715739578764596554933442793568317964060532806560451636047645158452643171239802015446052118724923209946202661072469595630335925399784820787467973385572227668638556249553773188471147017984350036734142835987132132062643912052505610322207773881824424827822539718981490343704170116240849618758014197617436995853383341242518222187993569573392900629312319971487460325681131850286101872521970865908615866074174145678985470262819875339038529737330756419531173194933041702923762972856914473192138789469747545159209304897594645588206184909785082278128298641990428524891096951239819228936668227539212716035339815577015557531964647732876040246464455977986477942525212627849118914158545650684170139475039971344269322558936708385956555838130882216559354192444362809862680264691733713802823223463641429947580738694875604466765543157928737923595165246698530595654493348763152460202463437438506336895581384061877801202474870548416483623951544206806152624714538822408329967356940232886936683492518936603808175711681073104521449902839807469589610165043224950563727799936787653931201826570723054971195811924200827023877447375784502323448307593833468530912801840701466579663142080586337827717460618951414510068416385652929547963105158500417859981479940427333296428369363479707624152879503515549391762850851069423461132195989693092741517052329251783056362758616483514059683900931070568951650588787551366860806014042970788277710658793661213492961634557318754829241210537509260103224134692801717646287517591192839003357541092908162019020708225238883623250142745234226708623967542160605083634224741054031672477038194017394905990370125866180433413936700645378204592379881776629340194159295212562506508961256289775864495172772674462604689554606801885963017035073888474397114006540398768283632973251687170647722322407410096402568127919616939523899932458301729916101655829144048097799928358099288317739602294646305886970444218318781845474644315180412723876194373742290107380487857731970180509405520785941677705573705477892034307951283451205530896589190409925735723435640669808506257915585565782771224464831489059200671961768580275346868357895802010199871968690259614547312124207215944195548808235507151898230863409081055060280514724927841299575670457173247255863262961874451255225476334325258852422546961397812132527.91
