124,542,396,742,985,014,678,336,989,765,198,419,075,165,430,122,668,886,273,087,008,416,862,583,988,430,625,539,383,228,132,374,397,259,882,596,488,758,822,591,896,803,751,834,541,375,313,849,450,926,090,919,097,328,517,167,982,301,484,649,547,657,576,595,132,168,514,313,116,888,557,987,207,116,710,947,779,771,641,208,970,014,109,875,856,640,526,045,674,295,819,842,756,688,387,304,727,559,164,664,989,913,079,683,982,696,807,495,634,680,521,216,424,337,264,967,162,959,923,602,538,929,237,659,664,472,495,023,240,778,808,386,731,914,162,883,835,993,590,683,434,700,693,159,632,941,682,881,736,016,036,950,728,433,452,277,039,014,616,407,199,308,476,411,176,883,027,655,143,348,084,205,023,025,162,786,392,467,149,960,037,532,720,508,571,176,509,304,588,868,712,712,688,407,797,441,955,794,790,698,016,196,821,162,219,213,748,073,828,691,398,956,628,257,404,088,602,748,675,536,684,567,599,504,791,334,149,573,909,855,620,806,443,799,353,731,943,726,710,893,932,897,798,640,860,924,819,694,874,999,448,819,736,372,445,453,621,874,402,691,911,276,124,341,675,848,041,744,132,617,201,050,674,884,506,268,249,886,134,227,169,148,620,659,290,277,368,273,881,721,941,399,489,225,964,991,498,133,218,689,522,981,426,408,410,632,048,299,803,776,231,174,627,790,830,503,695,957,989,677,592,436,795,946,548,142,944,252,632,092,017,041,264,116,798,239,259,269,644,889,952,145,474,860,590,572,413,188,591,681,883,731,800,284,139,520,668,514,996,229,953,502,489,159,013,739,239,260,941,564,074,180,808,567,650,192,920,058,163,223,763,005,873,716,764,494,134,694,735,851,969,780,874,613,511,106,610,615,753,548,074,766,347,039,939,015,057,056,278,772,635,602,163,119,919,888,322,464,789,928,686,899,537,820,386,827,051,136,524,112,044,955,510,188,858,073,293,862,753,927,392,833,474,535,968,877,485,151,514,904,923,712,073,701,907,671,047,512,220,485,272,352,514,228,375,093,818,510,328,476,393,627,455,754,047,507,659,875,189,705,299,422,999,572,700,630,976,142,806,302,709,702,395,615,507,072,545,644,274,936,722,524,981,407,380,107,959,566,316,284,906,793,911,624,286,249,527,521,553,670,192,472,058,664,458,004,324,361,053,415,320,754,226,086,767,922,297,377,787,766,428,567,158,095,211,152,744,709,963,584,432,779,520,254,669,848,713,053,622,507,197,481,484,124,871,168,735,635,636,801,421,050,150,762,787,755,253,955,953,229,579,889,835,159,164,216,373,486,301,547,416,010,651,234,620,303,452,671,830,848,847,150,826,540,136,824,885,633,890,420,121,307,268,939,687,303,006,120,912,683,166,661,960,747,463,869,561,978,109,738,158,427,256,320,006,473,955,152,819,067,995,937,650,379,350,598,271,085,025,984,085,816,100,390,266,683,939,755,833,633,976,001,423,322,592,457,053,525,730,101,667,575,045,172,252,163,495,231,603,841,274,605,982,286,531,005,841,031,600,695,813,139,638,009,835,529,244,652,820,443,836,321,730,752,518,778,374,213,208,950,344,488,848,534,596,092,648,521,362,780,698,983,951,829,684,108,393,116,185,615,702,237,609,572,272,261,477,708,118,186,432,042,116,634,321,999,075,295,322,599,378,725,542,265,760,026,726,693,990,910,764,326,357,176,650,066,722,944,321,517,937,637,094,744,729,576,620,144,791,275,347,550,475,851,022,503,877,061,803,284,001,834,891,191,469,476,259,462,645,975,980,763,960,792,330,546,838,752,470,088,803,750,829,116,480,535,019,063,350,608,241,622,140,878,021,621,668,673,640,387,756,214,884,975,071,134,976,672,737,922,613,208,618,093,214,443,042,186,737,295,423,677,884,340,363,601,013,902,353,661,353,059,451,183,619,848,951,478,217,722,956,387,009,526,782,040,921,597,710,255,829,362,386,404,396,796,140,816,445,465,833,373,065,391,382,137,782,169,019,822,264,112,436,781,813,882,828,239,690,881,948,569,873,518,047,400,716,774,574,004,167,123,232,227,796,165,750,569,884,091,801,621,382,889,925,375,543,846,301,771,612,440,702,302,019,443,954,040,413,049,039,491,859,132,083,703,517,839,868,769,781,235,717,027,072,903,591,417,800,112,795,561,452,554,650,578,869,370,019,602,092,989,038,152,579,693,502,377,925,433,733,969,963,602,920,987,488,384,736,420,201,268,984,825,733,119,361,632,696,242,122,844,733,281,632,622,613,361,381,459,039,020,324,432,314,587,158,437,887,593,594,484,138,981,099,165,141,135,130,049,428,945,416,069,937,133,364,772,797,807,979,097,578,684,653,019,568,938,965,837,496,830,572,533,778,331,077,251,184,978,188,273,916,472,587,164,355,208,474,456,102,945,744,784,306,936,923,558,693,133,247,592,514,342,110,007,078,562,377,278,611,389,792,414,526,467,174,495,788,181,155,164,198,044,201,666,371,992,573,091,708,370,716,125,320,435,639,838,402,198,967,899,419,404,283,889,828,748,388,525,055,456,165,989,301,338,359,346,681,167,191,816,277,487,814,653,730,615,520,937,574,157,082,536,571,710,734,076,190,877,000,611,406,174,184,718,458,462,340,102,859,476,960,700,452,052,723,575,785,408,056,233,610,776,057,722,145,116,364,892,579,760,860,574,138,292,415,067,658,395,341,709,274,990,964,735,569,421,003,968,699,779,265,043,351,503,758,836,620,897,576,436,151,062,976,974,257,810,737,952,703,057,940,297,386,909,024,594,395,467,160,699,963,697,182,290,332,415,850,767,579,289,053,157,829,656,018,434,255,279,972,714,194,354,205,764,149,646,185,842,623,692,673,191,201,473,974,758,045,872,414,538,069,061,601,187,836,738,952,671,895,415,798,096,665,735,701,830,609,447,262,417,077,603,574,606,117,600,555,968,704,581,922,488,205,315,403,342,951,683,114,772,789,452,717,117,144,359,020,829,549,809,023,258,214,615,576,465,359,957,886,814,842,168,563,928,793,286,562,314,377,272,542,407,159,446,710,091,335,640,635,033,849,040,461,106,089,453,586,027,880,140,970,497,350,543,961,675,753,604,287,210,854,719,924,878,338,489,822,967,868,671,932,411,388,105,288,025,404,940,343,582,527,188,584,309,689,561,377,949,690,253,430,341,497,006,769,487,473,140,882,685,205,564,393,802,742,790,485,277,931,869,709,671,342,346,369,677,778,975,570,798,865,266,179,565,234,847,433,639,875,053,179,847,195,330,524,640,385,437,581,932,223,229,045,281,787,883,095,644,513,932,750,066,877,349,427,683,010,858,167,727,223,845,761,655,329,372,514,242,277,694,447,943,313,731,388,160,275,143,022,197,251,446,976,260,557,077,560,770,429,844,020,111,978,352,030,700,832,630,276,406,207,365,297,276,247,087,655,257,330,950,861,840,942,683,820,469,171,290,220,245,983,794,577,553,016,688,905,120,803,464,617,922,835,241,815,090,030,788,750,918,736,024,305,081,328,363,645,695,092,517,642,431,891,800,311,238,160,464,411,552,620,757,495,889,139,657,497,613,702,188,743,997,030,828,569,114,768,885,356,306,477,532,016,451,125,347,769,808,506,506,657,705,418,065,012,069,882,218,328,315,856,496,201,441,386,517,114,663,316,448,270,795,365,758,194,658,184,447,089,970,149,204,850,492,729,441,141,834,607,266,619,253,664,718,743,196,961,758,567,920,341,507,865,286,013,612,822,422,612,346,911,388,121,534,984,502,911,473,419,259,277,747,510,270,328,605,127,155,304,289,105,280,389,943,511,697,688,795,675,202,320,590,414,856,354,565,900,960,855,553,162,800,455,137,488,758,961,161,839,264,502,236,335,382,923,024,155,642,287,048,992,969,397,707,927,652,153,571,497,889,990,944,326,746,300,659,075,537,557,699,856,306,768,059,905,539,653,210,479,108,915,874,634,520,877,936,825,220,604,826,512,910,518,194,713,812,694,075,239,180,248,101,710,212,317,536,186,773,203,375,280,484,362,408,150,019,139,777,815,056,065,983,740,687,032,960,900,820,504,464,435,343,806,533,168,955,832,384,120,155,831,807,878,060,894,247,089,976,587,170,805,482,850,155,516,260,497,043,317,516,118,992,082,613,223,813,793,834,592,975,266,480,370,940,199,528,478,633,365,392,991,740,958,096,705,145,861,080,166,167,907,415,008,437,206,240,141,903,354,019,996,426,127,515,116,445,659,972,924,198,547,832,708,078,718,829,318,210,495,713,935,771,087,173,685,189,215,245,731,655,132,049,532,673,950,755,199,762,296,874,090,106,458,608,741,269,498,778,856,985,989,824,559,094,069,709,094,647,536,920,357,193,244,445,643,172,431,645,523,274,987,909,160,733,303,365,823,569,172,191,032,463,803,755,187,183,496,834,784,214,310,248,027,129,844,132,699,883,660,895,670,942,829,306,548,644,667,588,511,372,979,941,659,123,029,094,688,987,393,120,026,922,363,343,710,446,659,895,326,103,904,565,030,436,417,086,325,077,714,406,593,384,701,909,604,715,201,391,393,469,724,726,636,194,258,441,662,184,615,588,309,004,684,894,176,941,696,778,014,657,981,391,385,881,011,651,049,545,679,128,934,195,892,408,151,766,534,186,086,078,872,988,787,817,694,693,214,316,145,120,094,619,299,346,519,295,724,880,945,224,687,848,694,836,343,660,167,928,813,282,086,645,005,416,707,586,388,339,045,291,059,923,107,964,924,195,236,200,897,340,453,911,167,122,712,838,109,390,756,979,891,919,763,771,011,651,212,918,268,050,092,446,525,348,493,294,431,802,531,765,494,432,820,325,822,134,960,237,943,222,809,376,152,107,315,964,450,067,310,743,823,980,152,368,665,417,681,159,686,928,203,817,897,779,304,837,613,284,855,762,144,229,338,578,612,739,921,456,153,331,295,390,285,496,097,281,536,352,411,461,989,972,849,502,005,323,291,038,020,491,406,571,405,363,807,447,727,380,488,638,876,319,186,437,910,211,783,950,829,995,337,816,206,951,162,369,402,714,587,571,412,408,425,906,898,201,953,865,933,982,015,813,138,642,661,138,675,080,874,806,523,228,804,714,707,786,587,129,347,319,704,227,676,689,922,909,891,274,529,696,695,288,062,527,760,343,851,275,741,622,311,128,850,858,490,775,220,164,976,955,640,226,232,169,796,203,954,193,316,392,333,949,068,483,489,095,071,753,370,709,756,588,320,664,262,858,858,240,491,811,198,960,038,206,528,996,876,619,917,230,683,948,601,292,057,182,366,308,234,951,768,491,777,873,044,508,843,839,288,835,973,335,746,399,155,359,459,643,631,027,084,085,969,069,590,231,538,615,727,818,178,511,971,059,477,100,124,198,001,668,248,881,705,072,031,927,659,309,970,876,830,969,943,498,305,190,884,909,343,458,478,588,012,649,349,368,898,595,827,227,535,424,944,453,954,211,727,678,737,978,480,164,073,699,951,684,323,130,530,542,489,280,311,713,035,526,933,795,808,960,985,104,402,558,483,166,362,223,596,398,040,246,883,350,760,196,970,690,102,563,324,555,498,167,172,180,945,136,892,421,866,238,923,523,479,084,151,362,746,722,826,245,161,422,138,537,452,391,586,514,822,246,447,902,149,973,333,427,153,384,075,509,232,459,291,024,453,045,667,356,853,527,575,203,272,699,812,527,317,128,007,096,604,124,252,203,921,039,155,680,276,065,597,395,927,111,609,065,182,883,472,465,696,683,620,225,897,618,625,721,505,132,303,482,311,912,743,650,851,088,178,255,433,236,748,749,718,755,306,930,421,086,544,636,379,295,727,478,351,432,849,799,469,186,912,006,953,055,418,226,954,899,808,414,875,715,907,687,942,026,203,663,528,293,038,906,874,634,618,517,288,269,473,579,409,691,492,764,136,459,896,162,580,167,664,487,947,909,976,222,085,193,128,691,263,155,523,810,099,022,908,710,182,052,244,552,089,806,392,281,956,412,852,212,296,711,722,129,071,647,283,918,414,426,746,422,222,185,686,136,056,273,205,594,321,960,852,231,085,133,838,172,908,671,704,157,680,914,587,411,327,119,630,525,254,985,096,726,775,202,422,522,672,175,162,421,184,513,291,863,321,548,440,090,194,159,809,408,637,654,883,010,357,075,638,157,205,851,230,580,467,712,998,034,805,306,112,000,614,824,435,493,087,008,457,762,136,714,604,242,825,354,128,124,890,335,449,331,827,160,169,879,049,175,424,985,278,299,040,851,839,649,822,550,849,517,431,012,126,097,339,478,102,934,889,266,050,840,230,783,809,581,105,110,982,682,855,204,523,306,733,454,801,210,854,798,107,359,524,454,960,739,343,795,703,493,048,705,690,423,182,176,857,704,983,746,809,758,708,797,399,352,587,746,828,239,143,205,881,944,053,421,367,873,833,164,036,973,318,383,258,247,362,762,766,766,857,258,020,325,237,596,240,858,354,910,332,447,827,581,172,723,162,423,140,651,128,485,306,615,350,412,699,901,886,960,065,300,654,192,154,808,832,664,278,526,974,784,728,081,885,243,400,364,932,250,760,342,006,324,628,925,537,975,216,091,860,865,089,361,939,950,599,547,230,066,911,696,511,249,070,302,205,716,442,252,580,819,219,857,192,486,730,371,518,627,977,481,173,059,106,703,249,210,913,602,165,849,117,068,382,244,172,557,524,099,313,364,353,641,907,238,447,300,605,432,425,356,341,023,196,598,789,328,296,248,683,927,129,393,778,141,235,608,226,972,894,114,930,163,705,839,089,333,775,012,204,925,293,727,115,923,613,305,622,521,790,417,683,221,522,454,775,501,391,119,137,590,323,548,646,756,839,462,039,996,545,104,853,714,987,721,123,111,519,394,239,513,940,112,515,081,432,761,500,630,402,661,407,765,084,075,145,868,196,475,965,379,781,413,209,883,138,190,614,455,154,933,116,178,402,930,975,348,094,452,117,709,173,888,436,882,750,098,430,580,978,687,460,435,396,801,668,806,327,224,473,762,819,309,584,824,448,976,800,745,617,411,450,099,865,483,336,039,013,866,133,038,493,870,425,809,048,075,838,334,180,130,387,120,427,647,477,535,901,975,753,721,632,074,856,290,511,220,901,626,941,755,765,927,995,648,353,790,765,468,048,166,742,023,597,952,188,405,412,814,857,413,080,181,960,239,652,297,499,447,270,899,206,917,203,275,032,018,812,575,310,545,966,736,339,201,239,492,428,226,369,217,729,109,704,815,718,827,207,930,506,315,514,525,564,737,806,078,118,717,489,873,411.959776250884521984
$ 205556857184112543793362419752151893317099379250145151742179151788060097564531323864690601694941109415488383806284457661723006730815796778055903668021739385144094588813040919149616343863192272236174001535480681295621589650772958609492547875832184502299916948288617589693366805794401373784025992144311387480039260141695846579250360899235359091312693422973422009606342825411533161251640556449101733476171245819973176571625870960041457777495777154298279549445358599264564927411682488206927210159674856129153862578582034244176209305412388088275743698976347617832365923743034485266595540590748368992303441029872739545232180258646381417387173598137965916867727145933955034574048631806729547170601530792986196261036515098223774034718236238763675056317798012739389096105652852038603958080828600536347834277394432466596835649374689278400006849999988642687221204669607896024412098608998664243790835700354892253589872786321284473513688507763095379243100823172275974554895301111887678970942566481956887817961427803524190162638249970725257345266804917897487288452517726854780115654951622586553042751876958177380066523328600481093331365448685144133538450393036213498367044739918072160499956781232975783660352935244050178231426379558931722661383445223895475411700675625823681277631201904401241746833029000634068091145173375862191879749055743094317382824504040967342592230563870663185662817425025231058238914088181993599974232684088016487388716844414019388403752010005046885635555368448300728542718335159083925089434912723198586150424833571623947966278252935087500482103515563899235886357394722754919495872354960625155549622247702627222776644214256269595341443280407508996596077138596611353857371107754613027754450843003211875536026289312143932185972390082935409391206694732506701581176056552235863046518538278290025141095741356642824242583063298860332387885269563321471251134226080697037346407248926459523968197556558959499769071137171081433775685039604086633519971640193280578244185191424469845900444733254236306343617884925230246342457750222679625112353739638262061515127949224066765161257853612349381087199291991149502694013853237958526211829514794439062864501308823323292990052666822386736460222228185921999474865751392592632655258900796723706296316547677642377525683740507166870299577788587465990412243191481362080946334884807877622298046175921942713186236600864954105323600593243994122100831254431974991313669954424996648727143709032550036926974198795454199008322753200199086843702031105156986907713663064454479840595913884919350045496072319562290103825286494046713117405466601772841179448468205838381626869992143666513674324023089420213384228011244112059403809769510595137471038356625843490776213860756125745100581972631301307029065270991234075365394912980429224590596225328742024157342706327135482942041080917258105949783672797530751699733877190560524270267397784233984595329005304303014664219705887463878921423991697863736948607780661855887927747393899399343735712032627355915044953421930240747056925741636539726073206080756732889447582921526953662949555905000543964199662609099158784104775077688423971208013829286172021132866418051230798904699257624123182730241382682352670361251590615023251930870035941237888053865901432954818749497011187118426795866152422520778722291028689616222640113332813606448289415226614946895585283234815472497393753062052378834296011693502633082794112256555041384345834259421974289752459307561531774989946289394305396914238823382199787807353978513566971569661116080043189582969167488607714284418993452054432219566409188835531488304965810435085439403986479982689009216066669641902667797615752658636854605651255313500064601823754301561179313905122361004249243410196095715685945091174149070787326984037703060547567904639687478737389548422966586665978969354692565364127342504811805219996714140400725106870806486234597791309597283796376303861640201242400868930591975685509293234104414713675839728221350300544194435514841711581327788803223884691565288025826614192185129768112115583791622321576889293442467820483487281835326792542762327145893546750441587518356838619872988305888251429840712606034957780110993107704914911030893640193521034510595303430324365696931032787674899529916895012030587673567297673140930291248275624428408845541413574787188402289421265557254631830483747319074598717671817761295769586021879897286845513101749320241202396990149160940476680353788062264239071751235449015207826047172039188764073376954997355388357746132176824436344138041292800015209471004715820514122924627010611428068090160058380936836547719884357667553580846876875977725393078377409894993198128793072606449929984271803488886916440525058324663886590508446408517319785070570931880480865281125189238305730510522157667216896742938394081963820774278688087395971423551124523388167662945774953814441935381712862524657578905364611251434421366152077564824701787887417171869101768566844632895103951949581084873591114613479017011093427456761452318173533084564504275991512723122572692168955452082181497328627067233673215356645415175136489425953248256063396204874372661079206687121407724314158071152678531072130747463050531130002271089971797557320759522351212908293927718319294298475355610611733475774341151212088398618192131821529354141868823534657608497993224099221358317959252499591945648517019521606275686736614995113983540855257217727736110160810339887054353790294820763036672563599625706697129849521871200541339619666670926761405094758123061607065296942964001314702413418872708172813940097422368495168744240109678160916845918874815779189925459003094725194803767754932696661579254685758620677637375998700946576286317537415945663142072532504504083584702335036477300041705395537295521361413996775747428266993843908694046379324561762040483496579735414537972533837816879178850074846136721181648787752713691326242962163270601889851121265643721354892393261185490944919688039805754107809561466274523324269880360481843674280969488928509823081911211669065354759955075111181907964064661527130236248261722636199720798206320089110222699058905532317083460938645582955235712619345051971231540126103974570992223477530758109026931940899019138198974828863329567933394469211466961791167265187248125194282030444136662018142033628621458341721529227552959983367101479818332943715241579971587273058721298671144009244154278041712394582349254678293066724315709107676806913729197143507598943223250469730485790422415308429059969669409870386516403784277999099458451340315150685784215866041704689701046837710445881914554703490299773671077922798055612958814401304345101012900362044726917469680623982821909751813544122472425787395126281107718222490297296026067801817985101191813868563546209240138266665386793884060628074243423316268799197837739780302816299803365175920901418428443074042425902584556570246205844165764333182954300237268967808802236577375083071435424381431059390952733205102124613113936062875525719258835905430297745052183621431435058254549821495784105503601955664193110533011933229829464709648944616895670336205256012302113814766311388158906927984770161873692540791277807283548329924924965356725502388561851935389998763627442677015682292278468248141871371972227189155387807680236853326885235239769018655023726419185571560809509752620938459117002338196390597251941685638094303834086563879063901030880625707831653954321141434465225969357405807295274152687814070028863110724085694445858343506262260795885148154903169215998854742970376286026798339071498532140292587976597191013640927637892681643364301421268373538309582745677236991968775139321222432941024361742598172031186029212850875093393913955011897451787195053329124427880785989691978988750716965134766093223478417631951605037522956937541194068907433668631713908586951958892864171537702252828137879008270563102651558509428254340059579709423582227337345545447240484092083313478657728578239663785971120199290562497362067903194955233291570100363028536262191578520515086685168246373469039314960892828686681349002826843336030155134034774455718330916687979660479441424212590989078563177178449239121778325737506021723113150375595381514652377211767256827585493511666311667129806867073995626197510483970678214658215877037089675293408346257977608633073752872042501852936631292600094332313274056871694921188801553299041117595291586687635131554977385357711959254051989192022818890341759574888157038059386148534222810787472881191219140431265219709365102228142613495449737099199406963707995899788567087407017540283192191717562923210464067739790004205270238283654999463852059471743784674628919403653093314952640722791209023298240922124534555128795814130863661746468112730804847158158908654697524864883657823990445683529243636564521205985312026192693119515494949483984382292693241940247898297280982960706039985697643598737724833030258300398002382208303711068390194985460793033851854811758352681961538697773820118188832868909108397519856536609496679481146364841068582886990102154207387144044722483022339373109269952539896663238498952695809492468226913794368125557408763128936151313286152531725743634244473669177371127291464979218673132453192340528057034047387735940362736249271582519197482516183761259663410077927633064776511429062990653215435152250401510148756108530788342198054920940901069722905957711702709307064381181550937452251851503422186900912167293818206393515435805573351765056155665649926531803414413940971988466209438443047042473126091048255484891533055002100257778072486316436599422836620781087526654027658121610049793120508275460819318215864766030855920613760432332782394626466841434787650555408364472554548966614860692228018438928833306891330986039500342114266939304047653833434485884001892130935952957665151275889770051337034965510130415592716790519068650814326983656996475620759019336584224796402687496295535174889959286375344203382575180689430344845410601478.11
