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acm试题选做.docx

acm试题选做

Description

Michael喜欢滑雪百这并不奇怪，因为滑雪的确很刺激。

可是为了获得速度，滑的区域必须向下倾斜，而且当你滑到坡底，你不得不再次走上坡或者等待升降机来载你。

Michael想知道载一个区域中最长底滑坡。

区域由一个二维数组给出。

数组的每个数字代表点的高度。

下面是一个例子

12345

161718196

152425207

142322218

131211109

一个人可以从某个点滑向上下左右相邻四个点之一，当且仅当高度减小。

在上面的例子中，一条可滑行的滑坡为24-17-16-1。

当然25-24-23-...-3-2-1更长。

事实上，这是最长的一条。

Input

输入的第一行表示区域的行数R和列数C（1<=R,C<=100）。

下面是R行，每行有C个整数，代表高度h，0<=h<=10000。

Output

输出最长区域的长度。

SampleInput

12345

161718196

152425207

142322218

131211109

SampleOutput

Source

SHTSC2002

∙Submit

∙Status

∙SeeSolution

Description

Techniciansinapathologylabanalyzedigitizedimagesofslides.Objectsonaslideareselectedforanalysisbyamouseclickontheobject.Theperimeteroftheboundaryofanobjectisoneusefulmeasure.Yourtaskistodeterminethisperimeterforselectedobjects.

Thedigitizedslideswillberepresentedbyarectangulargridofperiods,'.',indicatingemptyspace,andthecapitalletter'X',indicatingpartofanobject.Simpleexamplesare

XXGrid1.XXXGrid2

XX.XXX

.XXX

...X

..X.

X...

AnXinagridsquareindicatesthattheentiregridsquare,includingitsboundaries,liesinsomeobject.TheXinthecenterofthegridbelowisadjacenttotheXinanyofthe8positionsaroundit.ThegridsquaresforanytwoadjacentX'soverlaponanedgeorcorner,sotheyareconnected.

XXX

XXXCentralXandadjacentX's

XXX

AnobjectconsistsofthegridsquaresofallX'sthatcanbelinkedtooneanotherthroughasequenceofadjacentX's.InGrid1,thewholegridisfilledbyoneobject.InGrid2therearetwoobjects.Oneobjectcontainsonlythelowerleftgridsquare.TheremainingX'sbelongtotheotherobject.

ThetechnicianwillalwaysclickonanX,selectingtheobjectcontainingthatX.Thecoordinatesoftheclickarerecorded.Rowsandcolumnsarenumberedstartingfrom1intheupperlefthandcorner.ThetechniciancouldselecttheobjectinGrid1byclickingonrow2andcolumn2.ThelargerobjectinGrid2couldbeselectedbyclickingonrow2,column3.Theclickcouldnotbeonrow4,column3.

Oneusefulstatisticistheperimeteroftheobject.AssumeeachXcorrespondstoasquareoneunitoneachside.HencetheobjectinGrid1hasperimeter8（2oneachoffoursides）.TheperimeterforthelargerobjectinGrid2isillustratedinthefigureattheleft.Thelengthis18.

Objectswillnotcontainanytotallyenclosedholes,sotheleftmostgridpatternsshownbelowcouldNOTappear.Thevariationsontherightcouldappear:

ImpossiblePossible

XXXXXXXXXXXXXXXX

X..XXXXXX...X...

XX.XXXXXXX.XXX.X

XXXXXXXXXXXXXX.X

....................

..X....X....X....X..

.X.X..XXX..X........

..X....X....X....X..

....................

Input

Theinputwillcontainoneormoregrids.Eachgridisprecededbyalinecontainingthenumberofrowsandcolumnsinthegridandtherowandcolumnofthemouseclick.Allnumbersareintherange1-20.Therowsofthegridfollow,startingonthenextline,consistingof'.'and'X'characters.

Theendoftheinputisindicatedbyalinecontainingfourzeros.Thenumbersonanyonelineareseparatedbyblanks.Thegridrowscontainnoblanks.

Output

Foreachgridintheinput,theoutputcontainsasinglelinewiththeperimeterofthespecifiedobject.

SampleInput

2222

6423

.XXX

...X

..X.

X...

5613

.XXXX.

X....X

..XX.X

.X...X

..XXX.

7726

XXXXXXX

XX...XX

X..X..X

X..X...

X..X..X

X.....X

XXXXXXX

7744

XXXXXXX

XX...XX

X..X..X

X..X...

X..X..X

X.....X

XXXXXXX

0000

SampleOutput

Source

Mid-CentralUSA2001

∙Submit

∙Status

∙SeeSolution

BeijingJiaotongUniversityOnlineJudgeZhiXingversionr163

Description

PlanetCucurbitaisinhabitedwithintelligentpumpkins.Thesepumpkinsarenotonlyextremelyclever,theyalsoarefondoftourism.OneoftheirmainroutesistheEarthduringHalloween.

Asyouknow,pumpkinscannotmovebythemselves（intelligentpumpkinsarenotanexception）,sotheymakesomebodyelsetotransportthem.InthecaseofHalloweenthisisdonebyhumans.First,theymakepeopletogrowspecialbiologicaldockingstations,thenpreparethestations（peoplecutspecialholes,firecandlesetc?

youknowtheprocedure）,andafterthesepreparationspumpkinscomeandhavefun.Peopleusuallydonotseeanythingandthinkthatthisisjustaholidayandthatthisholidayisforhumans,butremember?

ifsomebodyisfrightenedatHalloween,hewasfrightenednotbyhisnot-very-friendlyfriends,butbyalienpumpkins.

Tousethebiologicaldockingstation,apumpkinmusthaveaspecialtransmitter.It’smainelementsaretworingsmadeofgoldandforsomeunexplainablereasonstheseringsshouldbecutfromoneroundplate.Thesizesoftheserings（innerandouterradii）arepumpkin-specific,soeachalienshouldorderaspecialsetforhimself.

Mr.Calabaza,anadolescentpumpkin,wantstomakehisfirsttriptotheEarth.Hefoundadiscountplate,whichwasnotredeemedbyapreviouscustomer,anditisnecessarytocheck,whetherthisplateallowsMr.Calabazatocuttheringsheneedsfromit,orheshouldorderanewlargerplate.

Input

TheinputfilecontainsfiveintegernumbersA,a,B,b,P（0

Output

Outputaword“YES”iftheplatesuitsMr.Calabaza,oraword“NO”ifheneedstoorderanotherone.

SampleInput

21536

SampleOutput

YES

Source

NortheasternEurope2006,NorthernSubregion

∙Submit

∙Status

∙SeeSolution

BeijingJiaotongUniversityOnlineJudgeZhiXingversionr163

Description

XiaoxandMadongflyarenotinterestedinthepoliticaltheorycourse,andtheydecidedtoplayagamewiththecoinsduringtheclass.

Firstly,Xiaoxwilllinethencoinswiththeheadsideupandlabelthecoinsfrom1ton（1≤n≤10000）.ThenXiaoxcanchoosetwooperationsasfollows:

Op1:

Xiaoxchoosesanintegerm（1≤m≤n）andasksMadongflytoturnoverthecoinwhichislabeledm.

Op2:

Xiaoxchoosesanintegerm（1≤m≤n）andasksMadongflytoanswerthelabelofthecoinwhichisthem-thonewiththeheadsideup.Itispossiblethatthetotalnumberofthecoinswiththeheadsideupislessthanm.

XiaoxcanchooseOp1orOp2ashewants.MadongflyshouldgivetheanswertotheOp2assoonaspossible,whichmakeshimembarrassed.YouareunluckytositnexttoMadongflyandheturnstoyouforsomehelp.

AsthebestprogrammerinBJTU,canyoudesignaprogramtohelpMadongflyinyoursparetime?

Input

Thereisonlyonecaseoftestingdata.

Thefirstlineisanintegern,whichisthenumberofcoinsXiaoxhas.

ThesecondlineisanintegerL,whichshowsthetimesofoperationXiaoxwouldcarryout（1≤L≤20000）.

Thefollowingeachline,withtwointegersmodelandm,standsfortheoperationXiaoxwouldmake.Ifthemodelis1,XiaoxmakestheOp1andMadongflyturnsoverthecoinlabeledm.Ifthemodelis2,XiaoxmakestheOp2andMadongflyanswersthelabelofthecoinwhichisthem-thonewiththeheadsideup.

Output

AccordingtoeveryOp2intheinput,theoutputshowsthelabelofthecoinwhichisthem-thonewiththeheadsideup.

Ifthetotalnumberofthecoinswiththeheadsideupislessthanm,pleaseoutput“NO”.

Eachanswershowsinoneline.

SampleInput

SampleOutput

Source

1stBJTUProgrammingContest

∙Submit

∙Status

∙SeeSolution

Description

FarmerJohnwantshiscowstohelphimmakealake.HehasmappedthepasturewherehewantstobuildthelakebycreatingaR（3<=R<=100）rowbyC（3<=C<=100）columngridofsixfootbysixfootsquaresandthenbydeterminingtheaverageelevation（10<=elev_rc<=5000）ininchesforeachsquare.

Additionally,hehastrainedthecowsin"stompdigging".Theburlybovinestravelinaherdthatjustexactlycoversa3x3gridofsquarestoagridwhoseupperleftcoordinateisR_s,C_s（1<=R_s<=R-2;1<=C_s<=C-2）.ThecowsthenstompthegroundtopushitdownD_s（1<=D_s<=40）inches.Thecowsarequitemeticulous;thecowsatlowerelevationswillnotcommencestompinguntiltherestoftheherdhasjoinedthem.Thus,notallthe3x3gridisnecessarilystomped（orperhapssomepartisstompedlessthansomeotherpart）.

Givenaninitialsetofelevations,anorderedsetofN（1<=N<=20000）stompdigginginstructions,andanelevationE（0<=E<=5000）forthelake'sfinalwaterlevel,determinethevolumeofwater（incubicinches）thatthelakewillhold.Itisguaranteedthattheanswerwillnotexceed2,000,000,000.Presumethattheedgeofthelakecontainsbarrierssothatwatercannotspillovertheborder.

Considerasmall4x6pasturetobeturnedintoalake.Itsinitialelevations（annotatedwithrow/columnnumbers）are:

column

123456

row1:

282520323436

row2:

272520203034

row3:

242020202030

row4:

202014142020

Interpretingthemap,weseeahillintheupperrightcornerthatrisestoelevation36;asmallhillalsorisestoelevation28intheupperleftcorner.Themiddleofrow4hasaslightdepression.

Afterthecow-stompinginstruction"144",thepasturehastheseelevations:

123456

row1:

282520323232

row2:

272520203032

row3:

242020202030

row4:

202014142020

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