三分查找技术

三分查找技术

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时间:2019-10-29

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1、【标准化说明】三分查找技术与简单应用三分查找技术适用于答案在某一个区间内,这个区间的特点的是,以答案为分点的两侧区间都单调的增大或者减小:如右图就是一个分的例子:三分的区间为[l,r]其中最低点为答案每次把区间分为3个等分取x1=l+(r-l)/3,x2=r-(r-l)/3作为分点,看谁更接近标准答案,并以此来更新左右区间,继续进行二分,直到得到(无限逼近)答案。TrickorTreatDescriptionJohnnyandhisfriendshavedecidedtospendHalloweennightdoingtheusua

2、lcandycollectionfromthehouseholdsoftheirvillage.Asthevillageistoobigforasinglegrouptocollectthecandyfromallhousessequentially,Johnnyandhisfriendshavedecidedtosplitupsothateachofthemgoestoadifferenthouse,collectsthecandy(orwreakshavociftheresidentsdon'tgiveoutcandy),and

3、returnstoameetingpointarrangedinadvance.Therearenhousesinthevillage,thepositionsofwhichcanbeidentifiedwiththeirCartesiancoordinatesontheEuclideanplane.Johnny'sgangisalsomadeupofnpeople(includingJohnnyhimself).Theyhavedecidedtodistributethecandyaftereverybodycomesbackwi

4、ththeirbooty.Thehousesmightbefaraway,butJohnny'sinterestisineatingthecandyassoonaspossible.Keepinginmindthat,becauseoftheirresponsetothehospitalityofsomevillagers,somechildrenmightbewantedbythelocalauthorities,theyhaveagreedtofixthemeetingpointbytheriverrunningthrought

5、hevillage,whichistheliney=0.Notethattheremaybehousesonbothsidesoftheriver,andsomeofthehousesmaybehouseboats(y=0).Thewalkingspeedofeverychildis1meterpersecond,andtheycanmovealonganydirectionontheplane.Atexactlymidnight,eachchildwillknockonthedoorofthehousehehaschosen,co

6、llectthecandyinstantaneously,andwalkbackalongtheshortestroutetothemeetingpoint.TellJohnnyatwhattimehewillbeabletostarteatingthecandy.InputEachtestcasestartswithalineindicatingthenumbernofhouses(1n50000).Thenextnlinesdescribethepositionsofthehouses;eachoftheselinesconta

7、instwofloatingpointnumbersxandy(-200000x,y200000),thecoordinatesofahouseinmeters.Allhousesareatdifferentpositions.Ablanklinefollowseachcase.Alinewithn=0indicatestheendoftheinput;donotwriteanyoutputforthiscase.OutputForeachtestcase,printtwonumbersinalineseparatedbyaspac

8、e:thecoordinatexofthemeetingpointontheliney=0thatminimizesthetimethelastchildarrives,andthistimeitself(measuredinseco

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