353,993,291,806,730,085,983,707,278,843,743,816,012,151,571,880,520,150,654,267,639,664,025,812,506,571,791,615,179,149,555,202,468,627,353,914,863,021,855,613,837,846,300,974,722,716,600,191,158,455,040,629,704,579,545,030,699,281,131,981,374,911,893,811,883,847,186,846,288,358,666,505,357,574,542,013,179,816,700,155,478,500,942,316,424,399,792,071,485,622,084,024,184,096,843,105,865,259,580,560,301,941,339,986,879,035,660,979,699,951,993,312,541,122,420,853,188,085,380,982,534,732,286,328,275,843,732,601,235,841,283,427,276,898,909,129,662,028,838,568,867,291,595,081,681,572,332,632,304,743,247,627,734,580,101,854,308,015,451,846,791,499,020,106,545,939,297,011,501,271,902,499,451,794,259,952,628,731,704,619,250,683,305,456,198,483,897,548,314,999,599,763,014,657,778,473,853,249,052,791,202,633,198,849,449,851,120,032,469,370,463,209,976,962,149,659,666,785,836,267,405,295,798,356,837,643,791,425,830,170,365,042,891,694,155,074,629,372,572,781,518,277,150,253,495,808,569,731,571,505,044,825,637,709,777,109,321,767,534,833,045,366,270,018,483,227,218,450,468,356,673,156,514,360,700,316,771,739,634,754,754,127,010,140,019,139,925,783,892,191,561,674,273,937,323,508,729,824,479,324,897,159,050,769,497,615,790,287,382,172,551,533,896,729,147,893,787,163,448,993,067,410,378,047,904,105,180,655,864,299,442,595,649,899,694,173,907,754,749,132,582,786,767,784,236,388,753,900,527,968,132,172,884,482,480,381,771,468,651,189,133,001,043,100,569,992,738,567,116,127,226,569,318,109,673,900,065,622,726,734,750,415,769,289,808,533,521,767,082,826,660,880,899,095,326,727,443,275,942,996,904,374,502,131,187,086,348,341,861,737,625,836,105,664,497,342,482,700,892,605,965,550,491,349,817,851,981,274,893,476,049,017,790,745,953,160,379,807,084,647,524,672,234,327,896,589,790,240,160,024,366,272,934,179,618,123,997,552,145,481,319,355,909,441,849,593,916,366,191,284,120,870,941,002,733,028,844,661,766,614,011,594,246,608,683,116,094,959,054,189,849,981,751,983,468,606,895,475,451,665,181,294,977,635,897,130,192,869,825,696,709,089,125,127,271,141,982,761,243,077,296,953,855,802,297,208,929,815,263,259,762,159,571,670,762,337,085,368,139,723,096,483,357,688,947,429,963,193,933,658,860,852,166,997,138,142,804,878,374,207,631,060,665,505,890,155,309,687,412,685,293,947,928,548,841,306,573,244,090,417,334,276,093,713,203,272,343,130,909,232,427,287,974,738,904,303,382,850,645,864,572,279,616,078,745,084,056,230,603,616,031,915,341,127,761,522,094,144,628,377,099,739,793,091,618,767,512,488,113,977,733,113,759,554,636,373,847,621,519,897,627,932,361,485,585,155,559,108,123,615,693,815,545,570,336,193,258,679,883,356,453,076,079,984,026,136,245,304,489,747,764,141,344,407,636,067,914,623,211,098,150,415,029,375,776,789,374,353,165,494,944,247,874,786,350,936,472,049,111,235,171,506,281,160,473,163,948,747,030,702,517,123,697,131,939,655,826,351,694,203,593,916,845,716,237,909,763,510,471,534,409,708,954,903,343,205,212,628,937,113,320,685,413,947,163,946,878,979,233,209,288,775,456,810,834,508,195,561,664,399,281,190,124,366,695,082,539,006,631,369,034,441,939,184,241,900,406,356,997,900,411,907,737,766,817,666,793,607,583,111,273,404,073,614,798,581,575,206,221,082,299,589,797,497,922,833,157,283,075,587,674,853,446,854,753,618,601,869,293,786,052,660,843,286,072,392,092,634,812,015,216,006,706,835,254,999,384,688,815,557,915,121,700,596,116,390,670,700,320,049,345,334,426,550,651,800,993,083,664,688,309,275,835,618,531,560,487,372,700,140,401,894,452,775,290,672,535,275,363,268,438,888,144,473,205,151,453,070,545,532,272,712,378,037,926,313,937,204,642,814,982,991,137,222,198,128,111,727,014,997,207,085,550,793,530,554,696,569,949,307,859,786,702,545,822,554,078,928,242,612,604,314,738,215,511,842,535,261,705,576,023,503,702,576,350,591,054,140,959,776,952,016,363,696,437,265,076,185,822,293,528,047,981,303,996,792,288,731,800,939,787,657,754,099,384,899,367,595,020,236,033,803,674,905,895,813,747,711,971,836,676,467,023,654,080,929,916,484,576,635,222,149,543,786,720,686,788,295,451,581,807,578,230,803,578,010,658,233,286,911,168,427,654,274,374,464,235,478,016,141,288,752,794,477,543,103,701,287,891,349,126,989,898,812,563,508,375,436,607,857,245,510,444,366,573,928,777,073,709,332,084,226,299,971,158,968,603,255,020,938,497,096,264,590,920,717,953,333,237,061,983,055,431,203,920,517,816,857,770,915,966,663,134,181,036,587,887,604,908,681,181,524,856,723,956,603,974,442,548,673,559,075,492,498,169,379,876,769,776,302,149,420,969,186,405,626,204,626,759,783,786,396,749,371,553,611,546,377,334,818,237,839,505,283,080,591,874,673,808,129,647,780,437,007,767,044,399,235,764,418,490,178,919,391,763,004,260,776,724,701,752,268,062,325,806,257,921,935,271,965,127,883,962,870,069,321,214,291,425,050,325,095,348,794,966,431,310,762,134,181,140,683,662,270,044,508,972,870,223,325,656,574,877,936,615,631,070,009,929,938,692,808,621,640,706,578,304,132,174,741,737,084,450,525,249,048,809,712,278,743,757,476,317,575,597,999,882,426,357,292,614,176,238,491,092,771,262,316,889,730,675,759,811,817,684,536,094,320,039,408,783,145,961,127,191,109,105,749,544,510,452,063,560,861,847,291,797,292,191,503,315,532,870,613,525,209,565,298,022,578,412,024,320,475,360,664,174,689,544,874,823,891,938,612,549,288,960,270,206,768,254,873,749,881,538,896,525,199,229,194,770,132,900,537,655,455,266,831,124,804,056,300,239,572,936,787,800,853,021,391,644,309,249,917,738,697,227,939,150,396,388,464,754,932,057,983,985,456,661,429,952,627,089,190,181,494,077,107,504,593,378,753,753,096,123,201,864,993,838,500,689,020,492,800,598,955,263,843,256,635,735,202,233,194,682,113,797,926,079,452,622,408,510,861,456,200,921,423,407,979,529,339,212,387,624,919,540,983,453,943,734,167,686,120,143,805,454,346,802,653,376,822,670,681,627,625,064,583,819,426,523,959,985,022,533,517,021,641,469,245,833,527,049,201,334,139,900,598,364,386,535,248,051,083,251,611,386,266,857,899,313,216,585,757,782,313,215,498,130,819,259,376,186,979,211,572,495,406,431,513,596,616,878,592,521,778,207,872,537,268,847,997,204,625,237,615,359,327,637,058,376,705,462,613,716,417,198,380,907,400,397,565,939,665,902,361,896,766,174,201,747,575,442,148,604,877,348,152,207,736,038,502,982,809,740,988,531,685,082,288,783,298,113,602,139,974,399,160,092,957,042,592,915,620,210,255,579,946,395,506,260,571,559,521,934,519,350,044,229,773,212,700,804,373,445,131,838,648,621,534,484,707,820,677,584,970,361,062,979,924,588,832,546,167,731,758,750,339,979,766,168,290,912,252,804,592,806,212,200,355,583,698,471,834,484,060,746,596,838,468,342,100,726,341,692,499,668,405,695,901,912,111,620,461,710,388,981,760,403,897,376,074,023,431,356,175,163,159,168,032,456,015,501,017,749,775,749,547,188,482,000,666,541,408,699,877,701,977,059,285,657,651,753,353,605,531,278,220,403,054,391,486,157,457,865,657,379,642,796,692,029,804,838,733,813,381,855,928,917,057,897,991,412,754,559,196,889,844,393,704,999,840,323,272,441,028,691,838,274,130,345,986,312,332,237,348,001,711,566,304,499,192,627,085,313,234,406,456,476,507,425,216,597,435,392,140,771,892,379,103,952,796,784,569,239,083,724,149,053,171,505,068,669,041,290,952,340,126,414,588,722,412,124,713,425,436,235,868,035,095,094,257,331,934,347,648,568,704,401,703,297,188,313,665,288,974,091,197,319,878,497,404,636,291,826,832,405,053,734,583,139,629,224,498,571,019,146,683,390,148,715,503,405,065,242,625,800,194,524,448,972,901,101,607,651,252,605,481,425,994,091,444,344,680,518,645,827,550,545,595,262,619,008,189,262,442,713,790,352,971,925,826,558,890,571,978,088,544,135,128,018,939,809,846,092,102,125,614,663,375,586,857,085,238,722,418,074,136,231,503,978,435,530,807,710,281,702,611,806,785,215,986,558,537,975,864,915,103,733,398,962,142,183,158,480,051,974,785,124,481,964,135,829,425,732,334,146,338,630,265,688,985,835,813,534,055,144,203,803,420,881,610,471,410,651,462,858,507,836,235,571,949,504,166,139,279,033,698,662,130,431,767,192,573,446,404,321,488,371,954,280,694,849,799,475,920,870,150,494,671,318,911,051,382,500,242,338,245,096,486,271,427,138,599,139,481,462,017,509,669,203,696,894,410,289,786,990,783,469,377,656,378,656,941,007,587,581,498,862,120,018,484,374,220,697,782,566,148,824,682,866,422,039,163,093,456,023,028,975,732,227,382,613,212,502,651,303,678,305,488,513,770,151,451,835,121,756,974,010,849,943,198,794,205,890,382,316,341,866,588,227,027,641,352,253,251,358,421,238,216,852,375,210,315,980,085,079,088,036,758,014,080,851,768,501,939,759,978,992,252,812,538,856,772,301,138,773,216,363,875,024,389,140,986,530,178,435,663,529,347,798,810,027,715,310,458,214,391,996,520,071,146,681,842,520,573,036,843,876,296,426,559,455,273,578,401,159,256,555,987,098,569,021,603,920,275,351,269,438,766,633,570,138,916,950,074,442,043,208,323,447,570,284,736,499,525,671,112,987,996,322,482,081,376,475,493,642,723,884,657,255,497,146,795,836,053,473,999,329,893,625,011,021,196,590,993,923,403,122,443,914,422,002,355,794,554,372,138,382,708,497,065,450,778,100,578,324,944,929,609,821,112,371,553,109,234,000,088,316,477,510,274,234,275,785,051,432,477,609,217,676,680,561,778,768,936,768,714,982,190,508,651,073,341,875,918,422,405,892,860,671,045,514,324,684,788,083,709,266,428,785,091,544,553,629,674,528,494,556,038,306,741,171,097,386,128,649,180,394,626,350,831,854,012,092,893,775,945,399,452,111,220,673,155,370,256,282,711,846,535,510,750,969,811,987,466,000,764,407,766,885,123,554,849,326,938,330,876,314,950,835,969,670,058,110,053,434,920,364,495,211,332,626,050,062,705,410,579,147,173,172,270,876,356,248,500,029,349,723,320,591,537,487,324,962,370,987,201,320,566,998,460,745,132,096,621,221,259,824,102,818,225,315,312,103,756,336,741,202,208,042,942,829,817,730,918,159,444,312,572,539,129,040,303,868,432,953,964,694,369,569,357,902,774,756,655,605,569,668,517,944,820,970,930,926,862,419,260,838,415,610,084,620,679,657,707,055,189,855,090,706,993,881,675,694,304,641,490,640,874,338,276,016,645,733,024,174,036,196,243,012,342,993,574,170,633,838,902,100,917,379,950,885,492,568,395,235,572,800,799,480,952,707,373,772,691,048,094,991,319,110,194,474,338,886,935,701,620,158,640,769,260,847,387,900,511,283,074,380,417,702,023,006,126,885,296,617,228,023,337,233,957,215,582,487,425,187,070,929,313,959,693,986,178,120,164,892,179,126,254,177,414,723,211,221,271,761,749,472,131,200,045,010,073,974,049,961,166,259,278,394,871,978,290,136,740,658,282,162,974,686,489,282,026,843,456,819,188,756,270,316,565,014,994,088,722,503,134,066,729,754,874,019,048,943,771,895,120,726,718,659,183,355,222,061,088,407,667,204,949,442,236,639,376,202,945,960,719,042,891,312,255,422,870,269,267,895,078,307,985,260,821,192,169,978,491,826,401,642,486,392,270,720,408,481,194,911,636,582,371,492,644,011,621,706,880,022,869,526,593,383,143,250,455,043,216,298,773,124,282,379,808,127,195,933,596,247,001,166,642,842,877,844,530,039,081,355,577,102,098,616,805,149,990,609,595,650,492,459,382,134,355,656,641,709,461,461,357,775,569,468,584,435,298,171,552,600,816,874,688,328,750,992,001,677,477,378,571,133,705,602,365,569,696,826,399,546,410,364,254,629,838,463,753,770,310,914,156,105,816,421,322,656,922,947,953,898,985,787,556,903,130,169,245,575,951,300,007,375,724,675,123,475,385,677,940,681,111,803,327,201,056,591,325,611,385,123,496,004,599,200,665,010,572,617,681,329,207,436,163,912,321,111,976,891,314,794,377,806,430,452,457,413,060,462,379,129,330,596,759,006,470,516,436,460,580,006,702,334,053,829,704,173,387,330,076,646,786,195,216,795,376,466,157,760,442,191,229,666,782,395,832,774,393,921,227,232,400,223,519,415,707,334,104,344,101,717,183,582,391,561,890,683,503,192,754,467,476,008,279,028,945,700,777,456,845,046,737,224,862,730,509,206,734,164,680,112,916,228,100,837,725,628,399,025,544,133,937,333,320,986,704,592,884,995,219,021,791,011,926,409,757,979,270,476,611,604,321,642,080,623,515,386,803,708,639,960,949,539,932,794,566,093,784,173,247,569,562,760,621,481,958,586,753,911,697,524,017,515,576,713,583,718,871,824,488,065,085,055,112,203,960,778,171,944,193,112,519,244,936,949,882,701,667,070,526,167,542,851,426,219,907,959,653,079,566,115,140,146,171,700,020,727,146,873,492,029,408,845,388,151,365,444,323,842,359,988,962,395,757,432,736,433,638,167,266,561,979,654,936,901,548,899,280,072,141,606,544,376,664,759,347,061,426,248,827,619,452,375,293,839,068,459,389,739,301,640,293,694,910,216,415,304,739,163,493,615,393,370,500,584,839,131,853,457,796,568,117,987,834,248,551,199,066,921,826,552,160,269,301,250,033,510,166,561,272,226,623,558,420,779,174,910,524,975,127,033,391,226,951,213,006,919,648,703,509,286,862,487,927,350,187,228,125,280,628,437,160,771,701,545,273,046,786,229,894,384,782,659,305,758,452,324,409,396,715,671,457,822,476,499,956,242,314,448,689,826,251,225,765,610,764,968,170,936,323,451,371,092,332,552,521,112,551,975,599,569,004,713,163,342,799,830,217,397,968,385,252,358,668,439,430,531,669,472,787,473,167,116,578,557,629,518,830,817,715,947,325,829,379,177,504,028,322,546,017,509,537,911,937,885,286,879,944,885,423,302,697,239,885,002,652.831481511513423872
$ 2693718792431333439526676233771290674089699941684386179895999204216853981943684494072633233733144162863160898804006253765840361437609361534595822218984797202427654919664066249534276377790209273794574954237459828800153129008830988442405747908823408411832215084523198284637585309662953847255843410863129266198871119721196988871800560138812146957435460852334257462626626909430321655818391830442310956030028321208870508304967843137174350974105173423616909398947118468416334114028894002396736276624297830516582706107165840595480253858280381055604063417356633448240406195934209083918003378705572186039244770253364614240001849558118816319330273694309965688398337152230976267341735839495242780005800736911164647734055420252543838404800931816051869914556798053566750714190383066812547979744795267571292793228925376439411802575924915342090165332830048820816091732388889643359176843761503906339116828571035366316277156235330201924238397218897994779871902572755657332292959814607667817362006156896001595529093974532234041569194751216416325324834163664142141437628911363343055942294445071622727145427179123982891197733150773742737219246516727801124739778183183194569355400608005880721619641646792207720110791065679180493105425965726625536894820627839970317010948397272028709890150471924986155204378897244455219089796789132430421459003856781671212740698553930811447585679982178833700357764392012412179490637937726953106380097981236948122105585066865310940173961765487460891057802209502470728647045214604608672885729805220595223206294967656031303049773888215552830719342669814123394185273780642190261752810097975124238079104065489190141710532129631542121765913079567761428849952210548096125945028902025206364911039947285377980638459018472271735203237498090580782674757180142022986887254053748622467939381339782121503777399135984507785029447825724532646118411154753619369340461417571736467253004428658910077525226084515020759907123433028647213600538316461063057183104126679766516416157085525134716894267403643489351091859514523854924795591083646681174245550330506854306323854644261483326464408294179796077305525086415666949802044756138846082873295517677499080294828642993948209314344672602325990746957327242581978269503165208876195994567094808140288983015999840878073770213660974523160617368606518200374479660264475974790482206917965948474925320963905683925881264251028415734461673570979468962763319883419406002502512209609326280989643962450698891414631561121795572576957317436108568941928042522028493160457055385919152566870563658006161866699299065887937059134817979274980567543940568032541213509031509843963953209830037920356837510896312028032033100389072103895060116766376988178032605361007323671298693022622484472053466773113784192916717152821816147353372009847624979273911827876091989601394148389089117524598806646767618178221455027864171911466419733712183908471027927196289774417373482193452687274448999388416045008114782506945202025299357283259454797609296741018341121854270879523700721817708090475213834760480932014649208823462273722546063173361454095245010303647369665000898786909753613167136194979696200010453251276991168541250970793048759693560016787200619577316407592591521649857757439234865369617865910437731963283020711851749490030707845281203037009908335760283783878187377665504788119406905757781197681317285867858522075639627672610986103657058549105959665460528308886205263825271596039616539808315100658290176237786418680978560548906111888492637946561830289833190836172232525092267262286181997328785971052199195849539859260274543159420894240367005991107977988755830288175760464238803337810342323542496841703164047400119931319148950715954711391613716156976444948957088492005013497543141455665454424670680630061836853466603626852258686878983227488928040685885139247158863179900375027225442391068885877016446143784724552441295917583448432029006752769526693636671156550335353088700852312438434420011122486758041825783272657409027471429349613909906512174082149754407062996358994102506698341586083579987819228332969690003425707626818740544211696039856449508035216068045974305886411090605946937592450623569790713697997276267977645148451024187258017249882859611222939609455287943356488862734234465120923234307071610429957678247520500948382277521429251306130354187760831268646189902473952044929411296530070151135362117823697427497003927596890760879168138581630592983173197216621614791739131092280135122422741436372673061359579419157884655883384456354167030755784308996927216817938740114107419611273500118570171202316798841218056516527219493964927635146507438620170226449540442502616076412916810870468249030469366968094483553487649222445144165912569414405296418593443553356701283082051596721124947439273008660731501431653842549941836052629954500039876843518883299251454120276308710827564398168863494654670537428006378187223087949430226443619174761822460570573268537889747342336736081526441234383306917973880433535223551055703225842430572691841156277251932337699615081692877656446740261288597317647883716890989098933024158643503816350938817605647479107866891461984278719635520308754051906795512628271183227671354778557675937922900362712915835630262610444070774953092997721303494249632878453510371260602042498480180437252765977909047503921761363371591340040814240521768905991901516434606839801018715899386332004094242069849344466918404268956555450492027279899352656257944302443847619663947793946445053954717849212380561466355326893254356862528389487359309573382245942212890468190139263030801515356368372065353274105928597378604759887880506447203590586004870156482574904661475723413691360121225623020303356541778401843375610474418298251713364024153974133966853052639584622753704389590033766761826146092236039447566475564433859243734451864067314157888104866911225904154001539800658647925553891872635563221952009600556744788358600526804616661738735003441332428900640140964600223842430770864204963905842702018212102636999592986788218998230898644787651299158994641635785926600498608807972115975885061768280309437560785500131690741855063127789356280892135019113966759985013608513246840257878034707687176837776704673312201525575889031325242347788247262772457875340771281284379257436822594659134702147950403511604783364984920632239074523415420506489740999248354351183922878611092224669307958042441324424041727807793951017419190844731277265098513577299636551292764539497540123756680170496344478234890740313084004564676286776472897865037604066357781689481109094976268002965279809059214205276148790696183368194985736019447123365477346685976692187872414420686669105245746970418967024420629706559409470112280764205068475100363341390300831710520586128339155048123728671720441612719820469341244450832637988292964822710025037346294338669532779599008495321135623271941606382218197953360142050350062113734337814809312481400427621886038869350354937392200752873737674765861900283824404424283717069392354242114954859851470838157211403875580596244393538401702046458904373892797804188267979064192563901342718245273831789312882838417728417378196474231144982484163405563805474938997902692866092313081549737352120486855930393331905783231925404476358413409201819857472640808274885077053124873323896879790301151463370560106340532840538838050244448051501709160234479562688152430202573505269511060518430271080133947919749397479964261798669118070207424701451912501734554764834350382063230242672903985046848963581356078651583883081410632284067115200523587284326697349351388737016069667362729865519632181740064055083909531440086041397781101231967207977387773970466762760077618047279941082876497407465665371575244356736435354123149269664964261638365683202768052309282051746138984912819105970824182378965725507116235027763406380327213191044932535475131881711620752732695702718554522379634092263819838505256404520234614040731313941555357920486004301778936071801742097604551850017280576185548594464844243426562968119971437970174069148344620269458485174601075879476697728127950528627991263731636379109356140513642775963727751171546309827022690117750579720005685057803232206942909877464612876628005014945060118817441002640924333503560912754476181049326988641056376648010352341064302491615596291840642702761253144424858463397833958823506431419485474227736256390789264467207561556497609239206573289962213424127984994908704444875195270403967574601042830094989748650149924251927013335329510256665869882376237303783491434400371627372526723598385454891944429791695207105437815839878031862912442717800612392635167788261731619391024553602953870887679289271814125673098387136493621470707720913637981109122748346965088260771478459109794088049531356847451108119818072918257425793807361500758637103405393460720608891605947013890035455557071170216939528730191427424163953926159318188552967618301335715541857166516649582172075271014850906103832326018488323802265137459836596091738314855815353349101303779223629197242975936655215762646658793020394149063026533541413136006814212322565572835937075933491145928080316785038853256474425900912155042240568057049090217326776756242310393191109859806595636826879061647325017104385169011046825464244504136016227310505999232256802119873551737254357125132797300308828084790620030909791580877970569211910084625672707867680100847561181940437547698296396596011608570916678411918782400510804033405593240713863353814481045438213730833190188747140607488400949158602268726630929346404874158254637404373884436270501123765631601925159068297190429961910877602628322433345634991293552729957312321254705932551041371300923557898323997635342801243045382441883992150015340547365960980968499521959594317195557060236973249598156888034321734578981976682826586147563346033717758874100009381455088819904829331928041670064643618860144918156300303282011043337295862478108694196158331280069028751069362797618084267279856305618094175882594515.04
