3,067,806,972,571,183,364,137,165,303,368,509,248,162,694,225,421,623,584,273,510,347,533,290,872,022,103,725,643,331,315,831,668,625,170,174,018,294,142,687,532,908,549,126,205,791,910,968,306,451,661,373,758,814,093,911,282,864,311,373,998,123,548,377,523,438,236,920,110,625,829,899,285,073,196,520,184,931,693,178,047,570,924,586,459,480,892,381,878,864,686,311,695,735,383,244,028,138,792,095,387,408,168,244,540,918,147,497,845,748,669,481,967,723,374,107,586,063,573,326,793,966,733,878,442,938,125,189,777,700,803,253,350,126,357,389,469,149,023,630,043,148,730,251,410,406,854,268,801,668,908,418,742,213,484,701,684,434,269,549,511,709,064,847,851,870,130,494,351,864,513,264,347,165,939,255,953,355,019,832,314,441,552,989,057,687,173,039,721,582,529,384,426,871,804,581,795,923,860,593,468,530,977,537,396,926,154,803,745,647,710,290,409,486,546,334,206,394,519,066,493,421,389,008,104,968,367,959,309,614,877,897,117,230,997,063,595,810,792,391,224,273,044,374,142,002,528,242,938,114,611,662,274,725,573,572,730,850,018,862,973,580,189,068,363,280,718,834,269,431,733,799,025,717,930,818,993,020,230,023,073,279,644,413,217,418,023,342,317,795,827,641,705,091,616,924,492,196,101,813,864,542,023,657,791,089,076,173,595,461,307,434,685,513,482,118,600,028,399,112,590,913,474,303,692,819,926,203,672,792,045,610,204,457,956,641,879,830,742,989,683,136,417,212,178,789,730,577,133,749,841,305,314,547,946,379,572,345,174,904,000,860,586,461,750,852,664,660,859,645,979,170,441,946,055,825,710,635,661,671,409,522,324,713,251,952,403,265,457,505,244,699,806,328,610,441,892,290,754,328,623,065,095,529,789,452,583,548,520,162,198,123,385,255,724,068,672,011,978,885,887,794,724,814,126,425,383,930,230,473,391,808,350,823,345,714,728,350,237,216,259,020,316,908,334,670,039,248,096,523,437,766,385,747,427,146,813,808,705,114,732,204,985,647,279,615,037,031,810,539,950,635,620,958,706,799,283,861,378,919,324,421,500,734,508,038,595,075,166,069,412,130,530,088,823,167,471,444,290,128,751,158,155,417,907,057,214,772,972,175,027,950,131,875,715,920,706,142,485,485,352,141,936,869,261,839,996,051,269,141,942,687,967,453,841,499,718,059,326,742,127,501,232,762,240,029,449,128,428,807,881,718,120,945,545,369,503,249,298,628,772,592,602,226,719,015,410,909,510,733,285,791,101,541,228,841,024,103,464,013,464,189,965,189,453,777,339,018,734,017,162,991,897,100,345,895,900,456,448,704,666,101,367,234,802,500,532,248,579,604,159,724,159,392,437,321,602,551,864,383,549,883,336,682,331,140,535,584,318,117,896,061,348,398,276,866,593,056,193,889,797,340,920,614,641,052,467,650,748,595,989,632,191,158,682,912,881,124,562,659,914,357,275,115,094,383,572,096,439,829,493,959,538,455,427,714,269,439,534,145,786,303,683,762,156,580,123,336,889,184,922,679,360,399,074,451,388,611,339,819,030,475,556,303,199,486,491,216,626,808,685,075,189,229,397,806,088,871,924,536,882,944,633,480,315,982,259,730,303,615,407,997,919,031,347,047,628,364,777,040,228,892,221,037,506,912,531,635,240,287,872,749,407,717,285,462,163,640,088,773,477,373,907,215,713,465,465,093,461,885,100,808,244,515,402,937,136,279,378,223,881,429,117,730,561,792,866,273,583,804,327,992,804,311,431,484,280,303,090,111,970,172,407,660,626,265,468,545,907,163,692,038,271,230,900,109,249,290,171,623,939,262,218,962,249,077,144,303,059,804,920,468,754,286,913,005,254,249,442,607,082,044,836,091,287,083,466,147,907,683,077,074,714,850,405,639,419,224,941,706,079,551,938,439,211,151,011,364,113,298,801,141,093,957,645,222,858,217,209,119,777,947,433,318,335,702,964,558,806,126,216,416,533,266,793,238,667,523,917,735,550,766,542,371,576,182,809,267,070,047,243,756,194,031,812,541,428,230,975,294,802,819,780,007,292,389,907,221,626,603,224,068,658,261,535,714,651,134,097,662,311,542,263,466,198,899,200,065,264,986,056,818,747,211,545,955,063,440,785,607,029,150,671,342,772,773,521,299,267,282,375,895,326,548,372,753,292,977,163,541,695,530,309,383,669,538,488,517,669,750,893,383,501,551,216,197,611,392,364,233,476,188,319,814,754,569,802,785,456,692,686,666,641,740,072,947,473,099,354,400,617,317,655,945,597,225,247,416,619,227,229,733,199,383,512,690,454,641,691,407,869,231,917,976,968,071,076,981,488,067,213,095,490,372,363,946,432,964,946,426,439,737,759,428,514,576,500,981,800,376,322,054,955,586,309,565,264,976,645,380,586,257,328,399,486,025,128,205,883,783,286,100,738,018,555,533,534,693,481,295,636,462,353,361,617,587,743,237,185,802,561,907,168,579,152,362,653,242,303,168,777,349,671,680,910,548,490,778,070,712,982,639,222,979,892,580,507,738,335,008,283,550,479,715,994,859,226,820,963,340,040,553,295,289,158,611,523,253,147,489,830,043,461,344,996,980,165,094,190,366,509,553,089,097,650,678,001,525,361,030,175,353,738,219,985,218,517,094,877,701,572,480,519,366,983,059,875,246,560,261,486,388,102,764,704,313,848,572,848,641,577,490,042,648,724,927,382,157,325,616,753,036,593,388,685,429,169,788,370,274,479,713,542,899,119,649,012,753,589,830,319,206,457,365,079,486,602,994,660,757,041,209,576,191,575,202,041,926,681,802,168,759,843,448,441,655,481,964,983,979,716,048,040,934,294,004,897,602,023,471,835,199,865,923,260,649,579,853,529,375,701,619,237,491,300,391,138,978,397,390,534,723,205,219,945,132,955,946,495,489,723,134,820,564,798,392,512,477,138,084,473,042,442,865,472,735,065,709,002,858,430,129,257,637,569,787,643,279,509,188,645,431,542,174,224,790,096,167,095,929,342,994,808,765,373,530,104,569,432,904,127,477,865,737,640,584,116,765,762,386,026,272,315,578,225,449,979,397,854,289,782,951,397,115,666,139,924,752,846,545,238,114,397,299,299,593,648,173,406,436,259,453,532,272,639,065,514,874,242,366,636,336,922,893,752,479,969,356,035,289,594,660,667,899,596,949,164,361,635,003,102,316,707,383,259,576,064,797,112,577,794,730,953,459,947,144,845,405,738,699,779,946,748,599,502,833,823,143,187,374,051,080,595,470,132,802,344,137,536,267,416,213,435,667,130,283,836,613,057,403,223,348,834,209,224,218,229,385,329,752,888,240,875,941,160,923,564,328,073,559,687,036,056,611,247,597,526,512,706,905,303,030,571,155,875,854,713,408,530,044,481,700,088,716,036,541,273,668,859,768,666,959,649,063,751,260,863,041,495,711,459,324,589,929,479,543,109,146,927,411,948,052,095,930,403,105,539,909,628,853,360,088,268,604,210,575,998,489,700,548,494,812,073,939,091,927,169,462,183,931,600,730,169,781,830,827,043,466,942,938,016,049,891,968,550,500,965,930,601,081,062,414,584,651,074,729,030,290,037,915,922,566,819,093,967,376,178,531,853,440,560,939,374,971,653,120,516,761,170,371,251,490,527,153,406,878,168,530,496,558,689,233,441,419,355,721,350,021,329,632,370,574,476,784,437,572,487,133,388,735,358,267,429,927,516,373,521,830,434,443,760,073,974,364,642,675,009,779,346,578,066,277,103,406,035,121,764,172,308,118,056,845,305,039,675,395,834,920,921,106,316,536,547,352,583,920,810,049,074,180,670,180,032,149,470,151,023,874,610,019,815,930,781,697,428,118,186,880,279,567,887,052,776,378,436,924,916,571,729,965,299,039,045,455,089,514,414,966,932,927,941,239,429,192,683,406,341,197,691,538,529,475,825,129,288,914,680,299,810,914,701,867,893,849,690,091,870,567,716,467,569,651,468,838,110,129,219,974,779,821,493,654,365,829,409,522,410,143,797,051,283,338,347,304,543,028,056,278,403,246,164,892,597,187,869,603,109,433,571,582,874,749,115,856,865,695,686,891,743,057,798,830,903,185,955,862,396,874,105,504,767,401,544,847,755,861,441,206,832,150,199,312,480,660,125,446,225,230,338,931,542,922,621,138,144,421,699,010,196,134,616,931,008,819,947,660,663,642,690,063,846,158,636,477,565,268,187,419,718,697,320,156,794,659,356,007,085,426,305,006,338,963,477,314,906,977,690,034,430,458,593,882,717,728,583,784,171,008,542,321,280,936,529,402,165,737,265,693,813,753,028,471,736,104,376,830,469,219,274,878,351,119,629,722,943,550,001,172,275,674,008,458,438,056,797,541,180,162,194,421,160,675,073,682,069,721,109,739,157,255,621,393,159,746,444,547,188,321,643,442,305,894,297,813,268,005,050,140,635,669,981,137,972,544,635,568,165,617,789,952,515,627,282,647,146,477,898,432,928,848,451,263,903,517,095,277,060,516,646,548,638,777,154,966,634,656,135,825,256,719,378,364,197,014,483,778,166,274,517,433,376,154,007,473,444,310,303,383,406,581,852,136,622,238,366,938,952,022,005,057,954,951,799,057,501,724,268,657,765,383,312,194,177,451,524,111,823,599,572,692,092,655,583,961,310,298,368,844,690,190,353,643,405,880,028,136,657,860,265,357,842,991,077,293,690,663,705,144,345,850,005,493,971,391,553,340,657,624,074,316,820,543,944,270,899,139,879,536,201,738,620,240,300,701,609,464,596,669,969,052,329,219,560,212,673,333,411,958,591,516,822,130,624,669,259,783,206,228,015,636,243,908,600,141,652,840,523,731,173,300,890,308,022,326,194,799,716,595,645,552,993,281,668,952,631,847,046,470,734,907,650,532,085,504,217,608,518,903,454,250,470,070,525,759,621,216,466,738,758,741,203,749,794,598,723,323,927,490,824,637,115,976,345,527,908,923,709,143,586,595,777,384,870,777,690,565,779,581,413,645,618,943,057,801,475,904,465,773,463,297,463,027,308,353,909,569,816,599,470,298,474,203,253,036,725,885,038,592,104,428,003,425,046,117,582,754,606,671,650,944,958,553,145,562,562,928,915,380,113,099,359,839,056,513,497,454,602,611,776,642,263,127,534,925,322,404,561,970,218,294,825,816,519,342,256,760,612,435,018,434,689,784,887,809,527,815,600,664,096,323,533,739,232,253,949,471,277,092,993,029,900,708,634,654,364,958,116,448,286,325,666,748,860,169,195,932,558,176,860,816,151,531,191,268,180,319,787,598,963,172,229,454,799,232,724,564,404,647,992,283,008,894,993,504,693,466,761,546,472,684,059,071,564,596,484,674,779,830,027,426,246,560,170,178,501,739,392,809,408,256,652,456,577,217,544,977,964,897,996,062,193,835,606,837,161,447,869,232,266,293,366,192,476,726,166,762,677,064,018,093,488,278,707,973,609,305,531,774,465,287,882,926,391,566,338,229,158,587,596,416,030,656,977,120,477,456,444,706,144,321,390,135,329,986,825,598,793,717,828,088,629,865,662,403,222,498,174,115,186,682,330,881,171,443,180,899,294,761,637,027,591,774,190,658,974,581,872,763,727,087,281,323,123,060,618,664,797,449,121,256,734,497,246,303,568,124,902,962,259,943,508,603,123,623,446,168,603,180,348,622,279,445,577,045,153,815,602,150,983,750,649,338,773,245,528,607,297,915,583,867,852,142,589,110,543,501,481,898,890,404,086,405,264,384,320,458,573,899,742,333,324,023,802,680,387,967,241,866,417,018,146,830,579,880,707,105,191,513,747,520,935,794,775,958,276,705,412,463,946,092,665,467,881,581,612,323,027,350,582,494,240,274,904,539,512,196,053,670,774,218,172,307,826,580,831,281,113,036,659,314,292,705,421,875,174,128,002,886,312,008,502,185,333,233,657,838,464,106,866,841,415,526,768,934,089,001,188,720,720,287,672,435,297,184,238,682,539,344,209,965,312,206,842,752,982,587,234,694,217,798,111,261,122,269,149,990,266,892,518,385,373,147,324,326,885,149,178,846,877,367,819,433,449,749,973,531,730,838,126,273,106,708,240,725,268,508,221,714,157,476,701,100,314,394,425,100,235,944,180,239,289,464,330,638,728,434,805,655,488,129,818,518,882,654,164,075,002,691,136,556,557,159,379,842,233,698,874,360,651,924,652,515,266,612,720,523,893,960,382,807,705,388,439,022,061,607,512,174,837,198,470,533,241,094,244,266,387,407,648,764,443,547,621,475,953,864,150,999,242,712,808,708,132,048,097,139,333,139,470,437,658,504,242,122,721,037,105,952,717,632,499,060,418,692,927,496,891,271,513,885,301,445,180,703,466,651,796,146,288,617,756,421,426,446,109,508,728,591,750,539,409,804,929,341,544,820,327,446,371,737,435,778,311,686,009,661,831,676,080,606,274,539,656,313,871,945,483,709,417,300,513,336,343,971,119,671,699,206,653,310,466,008,584,569,323,152,451,628,788,442,887,653,205,214,708,678,956,226,941,080,778,173,380,687,434,866,840,207,160,688,844,914,865,291,487,881,183,785,367,884,020,794,528,982,933,117,416,123,735,210,593,693,041,142,118,347,049,642,094,653,835,577,745,147,145,479,116,687,721,939,692,823,519,250,941,079,960,812,647,162,499,004,310,253,399,169,848,565,350,676,103,808,365,688,855,754,353,583,685,096,153,443,899,708,325,697,419,869,327,385,555,515,968,047,670,658,957,237,173,926,423,385,369,477,498,823,804,462,403,574,422,805,111,026,989,189,666,177,008,232,493,253,780,981,140,442,729,478,251,712,080,869,714,947,274,866,031,100,653,380,453,068,022,162,779,266,799,072,751,297,204,498,328,644,642,284,617,610,511,197,125,025,448,116,674,439,524,255,700,928,642,537,241,592,610,084,381,614,855,964,881,326,426,257,700,905,152,719,550,872,574,676,854,492,392,499,669,580,873,274,336,355,942,335,860,574,188,892,445,393,694,752,787,374,297,875,494,768,371,452,924,209,645,231,108,646,826,606,547,672,647,830,075,119,652,396,130,205,754,070,807,028,456,517,876,057,567,607,724,363,366,747,525,164,147,316,582,503,679,600,443,325,288,607,269,553,273,591,225,031,279,525,345,943,391,095,392,840,536,700,742,471,523,569,713,728,628,760,692,301,140,924,140,502,283,642,920,776,261,321,284,684,317,161,990,275,917,401,775,160,020,800,326,867,357,736,520,632,299,511,708,761,128,163,248,521,720,687,001,787,227,256,643,733,356,155,920.314744728509743104
$ 9310107916719441720958965530152476546141413609953940016128345549615403038064475537133163741465720147446482030607660648498678223656930757262959319737223679332011441543810763240416520026335501886879902407920995840644355482953930007507298082162335281573786925357270328895025649651419687353265000966610340742978813206266285191007274863824263038634499142459902864727421685018572858995546495037561781432162459771333750094304160072726539171468804996183577131965035460169131885403963736941704833996267538536059343296774714474280466124287273230476222683739404680878959990756207165163751156204055444927474308582677195122566680956829583098785171978821782751904913979418321575803571709956465690949941518842004290544860283918623256193761434983485522304832076609986968176051449736475743466075194104398017960725648837260410727740828362861986471371081900312831286700280866828862049905970453237953886585962985750584892664010847942424720569783827001255500517113214697323422445594146305871026619516974398984931866364973042866371764817657848802209905486263036499187778847783304093753754574144127564817971383010210557147524985803877485436248034149407607514184080159463995031690315119629981166310658142353576372348994445782539413015000422288905801342493693864852007883223738960621040638939638900869412695056647274558329441908300798814989342504832592795614295459314323426995727503045143910570554877177364636720541836191255035176447888289956665878575987288975108205793317422357148091664749061592548391260746800267577818266647597547981029055873818222380973429123064994528246080418986788441505439388379108863756587276536396839380124701778739673834478342861720119289251367550423472476801419197864753429009238322297140260002605909167016336231677768751836340331858546795837976485750186236667029718545890166301737748976658322620943386261491342726285577684552482563758796259653022389450813009549333043451965358876432023886956344280532991854577205687852398678297893956540466904020193684749289664062148473476984376055574187824999746667307412550513906719329780088633802408397016222343113151093224374304170616441311600566545353768425274506709666929785337000999116265735950818114135155533246223995517441031999167559587983904745775569943077833538630708832539498151609200918243462643497703994144619282331017126122405277402600727601965880802675140336262099608698317634100112059768767054036078740920349040893415731276795013956233594146501290679043858513683170248189395118106756465908787732126754001778374829691891726025150509574078152290734742054583344746165141117308145111617180567699995259545468092266063805495187685011503204928747411527263806396034630024528807022013682989587166406171540758789611377885865370762534309797891870786773026039198268555000720416456049549669408323510035091128703425732014995826376508917856740903035958945058739888524641173968706624305863081816548754075331504559503325277137271456663461145834750086080262023261653360534075544975076705553787077765817300107010728224097058944183875665963554866530648333935701045267032784412277930630919167865575957621847527726816523462810320152901639960309351108429886967138137793978221133310287704240350002110597370911498016166988787766946802293275086967867306375193897788886501601104228164843113052443739301795946769740191999321190396364985238191539098588073432726266382488420217255704324048341460996036737877945850075816775932509409333185624132419173806340791920216145042180138579488247967526237466862210078626559549245936666059856281209119436679570626013700426721309902437825263073330953996842492323543619700070057793278841541756395445804908657434044155149915653093593371566284833526574231409761260002745392160190792749669955962767662402575768075073274626365167180734388658866912598035468486110482474577035567605331194892591630475872527258888402836772773945767756576424716417061594190731192304544154197274553076952011473038981197647081991504674266142554932763749097294445221477880320190485508219850792168291702419875049245360032878051696699883364586572885771605387531520985904785074417327003091939282139257766266286265149875374263421943197990406601054968999390088030773446362846659015665288308488110096266116560776837719274553020008645292272720713423572490242629385945000851403644634645065637456378036043181756918164728852130200237156391959031400886950628048529796800830945139317914530139569986783781369658000863677521815828862064296488379043049763250915262072578846312810572673126632583949884215921535400271294923596800961124818446668882280028592805815792955618913963215032303247483697252754329240228895967220843590361679353552941914795384242103764966172048590409539449784460467818343424695830309839949044302695547507809730260537795298795428380965311184609105176803845249181066875770201957660270328297014632230581606330426299026891635211040912661008847071918751202026876949605648792375735584841809412732436912970711839114562887669898948812531616021143886199859844394860066606664028333174024105423927553851875270062543261521404627642805040118427702556886687976621089631384321488779157428498896240201272333086568218897842260752490602606468386576965450607018116530462803885379416312137323671826852319602715069270076929117360765059532981163325757545599227929468014389863407841785170699264487878730520457140456779471663755264618016018302480901774294360768187843284065361958637798822401785119734565675266741561863574996678688635420921062093769890337169275612921321337866192475876576212791203569161704080725295520449087109223272039693025073758548904536765015652174908833345428087882266323204724215237418328121763371451545183997564175847429966625734386671544617672515943464248730175048618607861460793105729322928910169275399301530904301041124372365504654217614914873042132910449725188158352422810491320640845883872730183586575830798450143212052382082091481053139399904366912436879248253866360400397625774445440277413844711336061076796429242601391341888548215646553963845228751013646784541831156056036957449821585103518996764460512102782585423839250749603769710931367006792460213908374995810651846147913533090640524741625114549062142193718037578217042447608439424546590426023165775633865787684801845996819320323326277608404847797968449068892757679174832561024189179269089783893978951856304173617350656506162428006629878874647582492477278617968503079837271949522784699950084573978516384724525917117253521448265060050209549506759562818624341061804707643553060730555864125497200613723737805334590246461390823900366568030100550016084949138322067083316547644200479102240541494232526147942784535821970056021365839816915609402801048010247774204045179985893545290288769020823515132668651536465803893477556616696305033954064636787610615859383589140799507052129584154032180098318106329175979621964127261272468465452106257555786957446780294775420186715453417104924309965597107844868247630817968314719293752285135180981218074413852663842303151064961612624000338037751786014213318767553415450819677595732195340635845731092500652789649764567762990939348795876415813425678610930352450877298273592321480478035010331331033083927395804808563385880969646686654801923338921279237958375719074782869340296091047221209819843401275001701861638001462579537970861522234103540599012822259258188678084953302451215837968807571684432789917782743399388672627836119813800481236527578736925716963338343448810576129962926128906274508201811339459626124397039322805238965494512262323186713474045872773559767525671804322944398589743683181107507371688860514198208033843861060489129668858872784489750443146924270068007120143374779853067669345382401747808242771349635469419966830156436600237363417860387041977117668656063089903661930062844489253006899946254190575136449481425100709629201224938863028783062764982027260583592516723639405072533472760262700594703522552582479782646965350775546021648194420003930176447184840035334330201976063801971514251621482444345299433999629991004434760235404530123796586417564414231169438910053260521943906655219920682312091104341031656749332807807571666369777651961443214405336436269085667542037597898022744959060111141268108297683072171722036628441391942648128398369262005199954327933295451159282575793951863321886656658115449108102049288849231491281609840004793350695181394032004386895018590937882457937385925007464058334693498942209774604874755049502501195740482867263848149283760175126779311942571798037736413744467307671025176403934619254896713399081618953991936854247167818760186472137593628355185432528833870340285221084966666308832275085874372833341552782209033052528435432444738148162336856269352522275370454208587656012664168792975563012584088264217353903461599256484897039830941280889047891786523485488894677506628549838012606119523901726097627359991886753506155790764076226223283913736894781855259601103097545513421897456881395615362421580923636262065351886874591952585144774883814720583522899455746290058092411676532491052026890204762648898699933910454966137899227390682527680915626711268798655969658372826593299883198456603811972990686942550747721190906664144834651363752346566591982594666707951063767882791243638255880255782732904776373648114852090531899929782386554771342920522397691734914005800668983595281674429541462389002703861982779256546780375857462688747696804328617375575165957569516444429521142600721228628149456687331795602456311386795866976905023371621512304907941726924225786265516328557868488774750781684723152827524640439998053698193718092640005756172518804458944439456494754861137606687306234809038188484082238504124356806963760799526610744460510099607938556456239704367595756528499061940509963556353838841361092532430215725541843357366503866093052860666027671223204635773352662204698043720510119476698168310260266663138428994933229636550386957146991815502501181536465133509747131621108666337565487867709738088096047983987589070477.32
