The 4th ACMICPC Liaoning Province CPC Online Contest.docx

The 4th ACMICPC Liaoning Province CPC Online Contest.docx

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The4thACMICPCLiaoningProvinceCPCOnlineContest

The4thACM-ICPCLiaoningProvinceCPCOnlineContest

<1>Virusdetection

TimeLimit:

1SecondMemoryLimit:

64Megabyte

Totalsubmit:

0Accepted:

0

Description

Oneday,apowerfulcomputervirusHinfectedcomputersallovertheworld.Ifwedon’tdeletethefileswhichareinfectedbyvirusH,thecomputerwillnotwork.

ThescientistsareworkingontheprojectthathowtodeterminewhetherafileisinfectedbyvirusH.Oneday,Dr.Dannouncesthathehasfoundaway.

“Asweallknow,inthecomputer,alldataisstoredinbinarycode.“Dr.Dsays,“Ifafile’sbinarycodestringcontainsnoneofntypesof3-bitbinarysub-string,thenwecanbesurethefileisinfectedwithHvirus.”

Well,giventhelengthofabinaryfile,andthentypesof3-bitbinarysub-string,wewanttoknowthenumberofformsoffileswhichareinfectedwithHvirus.Sincetheanswermaybequitelarge,youhavetomoduleitby100007

Input

Theinputcontainsseveraltestcases.

Eachcasestartswithtwointegersnandm,0<=n<=8,0

Thefollowinglinecontainsn3-bitbinarystring.

Eachofthenextmlinescontainsaninteger,whichisthelengthofabinaryfileandwillnotexceed10000.

Output

Foreachlengthofthefile,OutputthenumberofformsoffileswhichareinfectedwithHvirusinoneline.

SampleInput

11

100

10

22

100101

10

20

SampleOutput

232

20

40

Source

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<2>Popkart

TimeLimit:

1SecondMemoryLimit:

64Megabyte

Totalsubmit:

0Accepted:

0

Description

Popkartisapopularonlinegame.Playerscanenjoythrillofspeedracingverymuch.

Oneday,Popkartupdatethe“GoldCollection”mode.Therulesof“GoldCollection”modeareasfollows:

Themapofthegameisann*mgrids,theeachgridinthemapareeithergroundorobstacle.Inthemap,thegroundisa‘.’,theobstacleisa‘*’.

Duringeachunitoftime,youcandothefollowingoperation:

IftheKartwasmovinginthelasttime,playercanlettheKartstopinthecurrentgird,ormovetotheleftgird,ormovetotherightgrid（relativetothecurrentorientationoftheKart）.IftheplayerlettheKartmove,theKarts’directionismodifiedtothedirectionthattheKartmoves.IftheplayerlettheKartmoveleftormoveright.TheKartwilldoadrift.Inthiscasetheplayergetsaunitofn2o.

IftheKartwasstopinthelasttime,playercanlettheKartmoveforward,orletKartstopinthecurrentgird,ormovetotheleftgrid,ormovetotherightgird,ormovetothebackgird.TheKarts’directionismodifiedtothedirectionthattheKartmovesatthesametime.

Iftheplayercollect4unitofn2o（playercan’tcollectmorethan4unitofn2o）,hecanchoosetolaunchtheaccelerator.Iftheplayerlaunchestheaccelerator,hewilluseoutofallthe4unitofn2o.Inthiscase,theKartcanmoveoneextragridinthesamedirectionateachunittime.Thiseffectlastsfor4units’time.Duringthistime,theKartcanonlymove2gridorstopinthecurrentgrid.Also,duringthistime,theKartwillalsogain1unitofn2oiftheKartmoveleftormoveright.

Theobstaclesonthemapcannotbepassed.IftheKartmovestothegridofobstacle,theplayerwillbedisqualified.

Atthebeginningofthegame,ThePlayer’sKartandexactonegoldwillappearintheground,markedwith‘P’and‘G’.Theplayer’skartwillstopat‘P’.Thesystemwillpromptatimet.Iftheplayercan’treachthegirdofthegoldinthetimet,theplayerwillbedisqualified.

Xiaomingisveryinterestedinthe“GoldCollection”modethathedesignsalotofmission.Hewonderswhetherthemissionhedesignedcanbefinishedintime.Ifitcan,whatistheminimumtime?

Input

TheinputstartswithonelinecontainingasingleintegerC,0

EachcasestartswiththreeintegersN,MandT（2≤N,M≤100,0

ThenextNlines.EachlinecontainsastringwhichlengthsisM.Whichrepresentthemapofthegame.

Output

Outputtheminimumtimetheplayerwouldspendtoreachthegridofthegold.

Iftheplayercan’treachthegirdofthegoldinthetimeT.Outputaline“-1”.

SampleInput

1

5101000

P.........

..........

..........

........**

.........G

SampleOutput

9

Hint

Ifthekartisstop,movementwillnotgainn2onomatterthedirection.

Source

********************************************************

<3>Transferwater

limeLimit:

1SecondMemoryLimit:

64Megabyte

Totalsubmit:

0Accepted:

0

Description

Greeprylivesinavillage.Lastyearfloodrainedthevillage.Sotheydecidetomovethewholevillagetothemountainnearbythisyear.Thereisnospringinthemountain,soeachhouseholdcouldonlydigawellorbuildawaterlinefromotherhousehold.Ifthehouseholddecidetodigawell,themoneyforthewellistheheightoftheirhousemultipliesXdollarpermeter.Ifthehouseholddecidetobuildawaterlinefromotherhousehold,theheightofwhichsupplywatermustbehigherthantheonewhichgetwater.ThemoneyofonewaterlineistheManhattandistanceofthetwohouseholdmultipliesYdollarpermeter.Nowgiventhe3-dimensionalposition（a,b,c）ofeveryhouseholdthecofwhichmeansheight,canyoucalculatetheminimalmoneythewholevillageneedsothateveryhouseholdhaswater.

Input

Multiplecases.

Firstlineofeachcasecontains3integersn（1<=n<=1000）,thenumberofthehouseholds,X（1<=X<=1000）,Y（1<=Y<=1000）.

Eachofthenextnlinescontains3integersa,b,cmeansthepositionofthei-thhouseholds,noneofthemwillexceeded1000.

Ifn=X=Y=0,theinputends,andnooutputforthat.

Output

Oneintegerforeachcase,theminimalmoneythewholevillageneedsothateveryhouseholdhaswater.

SampleInput

1100100

1310

000

SampleOutput

1000

Hint

In3-dimensionalspaceManhattandistanceofpointA（x1,y1,z1）andB（x2,y2,z2）is|x2-x1|+|y2-y1|+|z2-z1|.

Source

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<4>Theclock

TimeLimit:

1SecondMemoryLimit:

64Megabyte

Totalsubmit:

0Accepted:

0

Description

Thereisaclockshowsthetimelikethepicturebelow.Somenumberwillbealsoanumberwhenupsidedown.Forexample9,willbe6whenupsidedown.Ifthetimeis06:

09,whenupsidedownwillbe60:

90,whichisclearlynotavalidtime.Thevalidtimemustbebetween00:

00and23:

59.Nowgivenatimeintheformatofhh:

mm,pleasetellwhetherit’savalidtimewhenupsidedown?

Input

Multiplecases.

Onelineforeachcase,astringintheformatofhh:

mm

Output

Foreachcase,output“Yes”ifthestringisatimewhenlooksupsidedownor“No”ifnot.

SampleInput

90:

00

02:

20

04:

40

15:

43

SampleOutput

Yes

Yes

No

No

Hint

Source

*********************************************************

<5>OrganizationofACM/LCPC

TimeLimit:

1SecondMemoryLimit:

64Megabyte

Totalsubmit:

0Accepted:

0

Description

OrganizationofACM/ICPCisahardwork.

AfterholdingACM/DCPC（DisshortforDalian）,organizersofDLMUfoundthat,it'sreallynotaneasyjobtoholdthecontest,nowtheyaregoingtoholdtheACM/LCPC（LisshortofLiaoning）andwanttoholdanevenmoresuccessfulcontest,theyknowACM/ICPChasanunwrittenruleasthat:

1.Alloftheteamssolveatleastoneproblem.

2.Thechampionsolvesatleastacertainnumberofproblems.

Nowtheorganizerhasstudiedoutthecontestproblems,andthroughtheresultofpreliminarycontest,theorganizercanestimatetheprobabilitythatacertainteamcansuccessfullysolveacertainproblem.

GiventhenumberofcontestproblemsM,thenumberofteamsT,andthenumberofproblemsNthatweexpectthechampionsolveatleast.AndtheprobabilityteamisolvesproblemjisstoredasPij（1<=i<=T,1<=j<=M）.Well,canyoucalculatetheprobabilitythatalloftheteamssolveatleastoneproblem,andatthesametimethechampionteamsolvesatleastNproblems?

Input

Theinputconsistsofseveraltestcases.ThefirstlineofeachtestcasecontainsthreeintegersM（0

Output

Foreachtestcase,pleaseoutputtheanswerinaseparateline.Theresultshouldberoundedtothreedigitsafterthedecimalpoint.

SampleInput

222

0.90.9

10.9

000

SampleOutput

0.972

Hint

Source

*********************************************************

<6>AtripatKingdomsofDiscovery

TimeLimit:

1SecondMemoryLimit:

64Megabyte

Totalsubmit:

0Accepted:

0

Description

BecauseofthegoodresultofACM/DCPC（DisshortforDalian）,thecoachofDLMUdecidestodrivetheACMerstoKingdomsofDiscovery.TheACMersofissuresohappyaboutthis,sotheywanttohaveaniceday.

Fortunately,theyhaveadetailedmapofKingdomsofDiscoveryshowingtheL（2<=L<=1000）majorsightseeingspot（convenientlynumbered1..L）andtheP（2<=P<=5000）unidirectionalpathsthatjointhem.TheteacherwilldriveACMerstoastartingspotoftheirchoice,fromwhichtheywillwalkalongthepathstoaseriesofothersightseeingspot,endingbackattheirstartingsightseeingspotwheretheteacherwillpickthemupandtakethembacktoDLMU.BecausespaceinKingdomsofDiscoveryisatapremium,pathsareverynarrowandsotravelalongeachpathisonlyallowedinonefixeddirection.

WhileACMersmayspendasmuchtimeastheylikeinKingdomsofDiscovery,theydotendtogetboredeasily.Visiting