Dice

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 284 Accepted Submission(s): 166

Problem Description There are 2 special dices on the table. On each face of the dice, a distinct number was written. Consider a ₁.a ₂,a ₃,a ₄,a ₅,a ₆ to be numbers written on top face, bottom face, left face, right face, front face and back face of dice A. Similarly, consider b ₁.b ₂,b ₃,b ₄,b ₅,b ₆ to be numbers on specific faces of dice B. It’s guaranteed that all numbers written on dices are integers no smaller than 1 and no more than 6 while a _i ≠ a _j and b _i ≠ b _j for all i ≠ j. Specially, sum of numbers on opposite faces may not be 7.

At the beginning, the two dices may face different(which means there exist some i, a _i ≠ b _i). Ddy wants to make the two dices look the same from all directions(which means for all i, a _i = b _i) only by the following four rotation operations.(Please read the picture for more information)

Now Ddy wants to calculate the minimal steps that he has to take to achieve his goal.

Input There are multiple test cases. Please process till EOF.

For each case, the first line consists of six integers a _{1<??http://www.2cto.com/kf/ware/vc/" target="_blank" class="keylink">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"brush:java;">1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 5 6 4 3 1 2 3 4 5 6 1 4 2 5 3 6
Sample Output 0
3
-1

Source 2014 ACM/ICPC Asia Regional Xi'an Online

#include

#include

#include

#include

#include
#include

#include

using namespace std; struct DICE { int face[6]; }A,B; bool check(DICE a,DICE b) { for(int i=0;i<6;i++) if(a.face[i]!=b.face[i]) return false; return true; } bool checkIMP(DICE x,DICE y) { int a[6],b[6]; for(int i=0;i<6;i++) { a[i]=x.face[i]; b[i]=y.face[i]; } sort(a,a+6); sort(b,b+6); for(int i=0;i<6;i++) { if(a[i]!=b[i]) return false; } return true; } void init(DICE& x) { int a[6]; for(int i=0;i<6;i++) a[i]=x.face[i]; sort(a,a+6); for(int i=0;i<6;i++) { x.face[i]=lower_bound(a,a+6,x.face[i])-a+1; } } void showit(DICE x) { for(int i=0;i<6;i++) cout<

=0;i--) { x.face[i]=h%10; h/=10; } } void LEFT(DICE& X) { int a[6]; for(int i=0;i<6;i++) a[i]=X.face[i]; X.face[0]=a[3]; X.face[1]=a[2]; X.face[2]=a[0]; X.face[3]=a[1]; } void RIGHT(DICE& X) { int a[6]; for(int i=0;i<6;i++) a[i]=X.face[i]; X.face[0]=a[2]; X.face[1]=a[3]; X.face[3]=a[0]; X.face[2]=a[1]; } void UP(DICE& X) { int a[6]; for(int i=0;i<6;i++) a[i]=X.face[i]; X.face[0]=a[5]; X.face[1]=a[4]; X.face[4]=a[0]; X.face[5]=a[1]; } void DOWN(DICE& X) { int a[6]; for(int i=0;i<6;i++) a[i]=X.face[i]; X.face[0]=a[4]; X.face[1]=a[5]; X.face[4]=a[1]; X.face[5]=a[0]; } bool st[1000001]; void bfs() { queue

q,qt; memset(st,0,sizeof(st)); q.push(hash(A)); st[hash(A)]=0; qt.push(0); bool flag=false; while(!q.empty()) { int time=qt.front(); qt.pop(); int zhi=q.front(); q.pop(); DICE X,Y;int ha; rhash(zhi,X); Y=X; if(check(Y,B)==true) { flag=true; printf("%d\n",time); return ; } ///LEFT LEFT(X); ha=hash(X); if(st[ha]==false) { st[ha]=true; q.push(ha); qt.push(time+1); } ///Right X=Y; RIGHT(X); ha=hash(X); if(st[ha]==false) { st[ha]=true; q.push(ha); qt.push(time+1); } ///UP X=Y; UP(X); ha=hash(X); if(st[ha]==false) { st[ha]=true; q.push(ha); qt.push(time+1); } ///DOWN X=Y; DOWN(X); ha=hash(X); if(st[ha]==false) { st[ha]=true; q.push(ha); qt.push(time+1); } } if(flag==false) puts("-1"); } int main() { int x; while(scanf("%d",&x)!=EOF) { A.face[0]=x; for(int i=1;i<6;i++) scanf("%d",&A.face[i]); for(int i=0;i<6;i++) scanf("%d",&B.face[i]); if(checkIMP(A,B)==false) { puts("-1"); continue; } init(A); init(B); if(check(A,B)==true) { puts("0"); continue; } bfs(); } return 0; }}


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