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A,...
Output
Theoutputforeveryscenariobeginswithalinecontaining"
Scenario#i:
"
whereiisthenumberofthescenariostartingat1.Thenprintasinglelinecontainingthelexicographicallyfirstpaththatvisitsallsquaresofthechessboardwithknightmovesfollowedbyanemptyline.Thepathshouldbegivenonasinglelinebyconcatenatingthenamesofthevisitedsquares.Eachsquarenameconsistsofacapitalletterfollowedbyanumber.
Ifnosuchpathexist,youshouldoutputimpossibleonasingleline.
SampleInput
3
11
23
43
SampleOutput
Scenario#1:
A1
Scenario#2:
impossible
Scenario#3:
A1B3C1A2B4C2A3B1C3A4B2C4
Source
TUDProgrammingContest2005,Darmstadt,Germany
3083
Language:
ChildrenoftheCandyCorn
6545
2851
ThecornfieldmazeisapopularHalloweentreat.Visitorsareshowntheentranceandmustwanderthroughthemazefacingzombies,chainsaw-wieldingpsychopaths,hippies,andotherterrorsontheirquesttofindtheexit.
Onepopularmaze-walkingstrategyguaranteesthatthevisitorwilleventuallyfindtheexit.Simplychooseeithertherightorleftwall,andfollowit.Ofcourse,there'
snoguaranteewhichstrategy（leftorright）willbebetter,andthepathtakenisseldomthemostefficient.（Italsodoesn'
tworkonmazeswithexitsthatarenotontheedge;
thosetypesofmazesarenotrepresentedinthisproblem.）
Astheproprieterofacornfieldthatisabouttobeconvertedintoamaze,you'
dliketohaveacomputerprogramthatcandeterminetheleftandright-handpathsalongwiththeshortestpathsothatyoucanfigureoutwhichlayouthasthebestchanceofconfoundingvisitors.
Inputtothisproblemwillbeginwithalinecontainingasingleintegernindicatingthenumberofmazes.Eachmazewillconsistofonelinewithawidth,w,andheight,h（3<
=w,h<
=40）,followedbyhlinesofwcharacterseachthatrepresentthemazelayout.Wallsarerepresentedbyhashmarks（'
#'
）,emptyspacebyperiods（'
.'
）,thestartbyan'
S'
andtheexitbyan'
E'
.
Exactlyone'
andone'
willbepresentinthemaze,andtheywillalwaysbelocatedalongoneofthemazeedgesandneverinacorner.Themazewillbefullyenclosedbywalls（'
）,withtheonlyopeningsbeingthe'
and'
.The'
willalsobeseparatedbyatleastonewall（'
）.
Youmayassumethatthemazeexitisalwaysreachablefromthestartpoint.
Foreachmazeintheinput,outputonasinglelinethenumberof（notnecessarilyunique）squaresthatapersonwouldvisit（includingthe'
）for（inorder）theleft,right,andshortestpaths,separatedbyasinglespaceeach.Movementfromonesquaretoanotherisonlyallowedinthehorizontalorverticaldirection;
movementalongthediagonalsisnotallowed.
2
88
########
#......#
#.####.#
#...#..#
#S#E####
95
#########
#.#.#.#.#
S.......E
3755
17179
SouthCentralUSA2006
3009Curling2.0
6807
2841
OnPlanetMM-21,aftertheirOlympicgamesthisyear,curlingisgettingpopular.Buttherulesaresomewhatdifferentfromours.Thegameisplayedonanicegameboardonwhichasquaremeshismarked.Theyuseonlyasinglestone.Thepurposeofthegameistoleadthestonefromthestarttothegoalwiththeminimumnumberofmoves.
Fig.1showsanexampleofagameboard.Somesquaresmaybeoccupiedwithblocks.Therearetwospecialsquaresnamelythestartandthegoal,whicharenotoccupiedwithblocks.（Thesetwosquaresaredistinct.）Oncethestonebeginstomove,itwillproceeduntilithitsablock.Inordertobringthestonetothegoal,youmayhavetostopthestonebyhittingitagainstablock,andthrowagain.
Fig.1:
Exampleofboard（S:
start,G:
goal）
Themovementofthestoneobeysthefollowingrules:
∙Atthebeginning,thestonestandsstillatthestartsquare.
∙Themovementsofthestonearerestrictedtoxandydirections.Diagonalmovesareprohibited.
∙Whenthestonestandsstill,youcanmakeitmovingbythrowingit.Youmaythrowittoanydirectionunlessitisblockedimmediately（Fig.2（a））.
∙Oncethrown,thestonekeepsmovingtothesamedirectionuntiloneofthefollowingoccurs:
oThestonehitsablock（Fig.2（b）,（c））.
▪Thestonestopsatthesquarenexttotheblockithit.
▪Theblockdisappears.
oThestonegetsoutoftheboard.
▪Thegameendsinfailure.
oThestonereachesthegoalsquare.
▪Thestonestopsthereandthegameendsinsuccess.
∙Youcannotthrowthestonemorethan10timesinagame.Ifthestonedoesnotreachthegoalin10moves,thegameendsinfailure.
Fig.2:
Stonemovements
Undertherules,wewouldliketoknowwhetherthestoneatthestartcanreachthegoaland,ifyes,theminimumnumberofmovesrequired.
WiththeinitialconfigurationshowninFig.1,4movesarerequiredtobringthestonefromthestarttothegoal.TherouteisshowninFig.3（a）.Noticewhenthestonereachesthegoal,theboardconfigurationhaschangedasinFig.3（b）.
Fig.3:
ThesolutionforFig.D-1andthefinalboardconfiguration
Theinputisasequenceofdatasets.Theendoftheinputisindicatedbyalinecontainingtwozerosseparatedbyaspace.Thenumberofdatasetsneverexceeds100.
Eachdatasetisformattedasfollows.
thewidth（=w）andtheheight（=h）oftheboard
Firstrowoftheboard
...
h-throwoftheboard
Thewidthandtheheightoftheboardsatisfy:
2<
=w<
=20,1<
=h<
=20.
Eachlineconsistsofwdecimalnumbersdelimitedbyaspace.Thenumberdescribesthestatusofthecorrespondingsquare.
0
vacantsquare
1
block
2
startposition
3
goalposition
ThedatasetforFig.D-1isasfollows:
66
100210
110000
000003
000000
100001
011111
Foreachdataset,printalinehavingadecimalintegerindicatingtheminimumnumberofmovesalongaroutefromthestarttothegoal.Iftherearenosuchroutes,print-1instead.Eachlineshouldnothaveanycharacterotherthanthisnumber.
21
32
66
100210
110000
000003
000000
100001
61
112113
102113
121
201111111113
131
2011111111113
00
1
4
-1
10
Japan2006Domestic
1321棋盘问题
10000K
15034
7428
在一个给定形状的棋盘（形状可能是不规则的）上面摆放棋子，棋子没有区别。
要求摆放时任意的两个棋子不能放在棋盘中的同一行或者同一列，请编程求解对于给定形状和大小的棋盘，摆放k个棋子的所有可行的摆放方案C。
输入含有多组测试数据。
每组数据的第一行是两个正整数，nk，用一个空格隔开，表示了将在一个n*n的矩阵内描述棋盘，以及摆放棋子的数目。
n<
=8,k<
=n
当为-1-1时表示输入结束。
随后的n行描述了棋盘的形状：
每行有n个字符，其中#表示棋盘区域，.表示空白区域（数据保证不出现多余的空白行或者空白列）。
对于每一组数据，给出一行输出，输出摆放的方案数目C（数据保证C<
2^31）。
#.
.#
44
...#
..#.
.#..
#...
-1-1
蔡错@pku
2251
DungeonMaster
11510
4465
Youaretrappedina3Ddungeonandneedtofindthequickestwayout!
Thedungeoniscomposedofunitcubeswhichmayormaynotbefilledwithrock.Ittakesoneminutetomoveoneunitnorth,south,east,west,upordown.Youcannotmovediagonallyandthemazeissurroundedbysolidrockonallsides.
Isanescapepossible?
Ifyes,howlongwillittake?
Theinputconsistsofanumberofdungeons.EachdungeondescriptionstartswithalinecontainingthreeintegersL,RandC（alllimitedto30insize）.
Listhenumberoflevelsmakingupthedungeon.
RandCarethenumberofrowsandcolumnsmakinguptheplanofeachlevel.
ThentherewillfollowLblocksofRlineseachcontainingCcharacters.Eachcharacterdescribesonecellofthedungeon.Acellfullofrockisindicatedbya'
andemptycellsarerepresentedbya'
.Yourstartingpositionisindicatedby'
andtheexitbytheletter'
.There'
sasingleblanklineaftereachlevel.InputisterminatedbythreezeroesforL,RandC.
Eachmazegeneratesonelineofoutput.Ifitispossibletoreachtheexit,printalineoftheform
Escapedinxminute（s）.
wherexisreplacedbytheshortesttimeittakestoescape.
Ifitisnotpossibletoescape,printtheline
Trapped!
345
S....
.###.
.##..
###.#
#####
##.##
##...
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