
DescriptionArcheologistsfromtheAntiquitiesandCuriosMuseum(ACM)haveflowntoEgypttoexaminethegreatpyramidofKey-Ops.Usingstate-of-the-arttechnologytheyareabletodeterminethatthelowerfloorofthepyramidisconstructedfromaseriesofstraightlinewalls,whichintersecttoformnumerousenclosedchambers.Currently,nodoorsexisttoallowaccesstoanychamber.Thisstate-of-the-arttechnologyhasalsopinpointedthelocat...

DescriptionYouaretofindthelengthoftheshortestpaththroughachambercontainingobstructingwalls.Thechamberwillalwayshavesidesatx=0,x=10,y=0,andy=10.Theinitialandfinalpointsofthepatharealways(0,5)and(10,5).Therewillalsobefrom0to18verticalwallsinsidethechamber,eachwithtwodoorways.Thefigurebelowillustratessuchachamberandalsoshowsthepathofminimallength.InputTheinputdatafortheillustratedchamberwould...

DescriptionStanhasnsticksofvariouslength.Hethrowsthemoneatatimeonthefloorinarandomway.Afterfinishingthrowing,Stantriestofindthetopsticks,thatisthesestickssuchthatthereisnostickontopofthem.Stanhasnoticedthatthelastthrownstickisalwaysontopbuthewantstoknowallthesticksthatareontop.Stansticksarevery,verythinsuchthattheirthicknesscanbeneglected.InputInputconsistsofanumberofcases.Thedataforeach...

DescriptionWeallknowthatapairofdistinctpointsonaplanedefinesalineandthatapairoflinesonaplanewillintersectinoneofthreeways:1)nointersectionbecausetheyareparallel,2)intersectinalinebecausetheyareontopofoneanother(i.e.theyarethesameline),3)intersectinapoint.Inthisproblemyouwilluseyouralgebraicknowledgetocreateaprogramthatdetermineshowandwheretwolinesintersect.Yourprogramwillrepeatedlyreadinfourpo...

DescriptionGiven n segmentsinthetwodimensionalspace,writeaprogram,whichdeterminesifthereexistsalinesuchthatafterprojectingthesesegmentsonit,allprojectedsegmentshaveatleastonepointincommon.InputInputbeginswithanumber T showingthenumberoftestcasesandthen, T testcasesfollow.Eachtestcasebeginswithalinecontainingapositiveinteger n ≤100showingthenumberofsegments.Afterthat,n linescontai...

DescriptionMomanddadhaveaproblem:theirchild,Reza,neverputshistoysawaywhenheisfinishedplayingwiththem.TheygaveRezaarectangularboxtoputhistoysin.Unfortunately,Rezaisrebelliousandobeyshisparentsbysimplythrowinghistoysintothebox.Allthetoysgetmixedup,anditisimpossibleforRezatofindhisfavoritetoysanymore.Reza'sparentscameupwiththefollowingidea.Theyputcardboardpartitionsintothebox.EvenifRezak...

DescriptionCalculatethenumberoftoysthatlandineachbinofapartitionedtoybox.Momanddadhaveaproblem-theirchildJohnneverputshistoysawaywhenheisfinishedplayingwiththem.TheygaveJohnarectangularboxtoputhistoysin,butJohnisrebelliousandobeyshisparentsbysimplythrowinghistoysintothebox.Allthetoysgetmixedup,anditisimpossibleforJohntofindhisfavoritetoys. John'sparentscameupwiththefollowingidea.Th...
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