http://poj.org/problem?id=2353 #include<stdio.h> #include<string.h> #include<math.h> #include<stdlib.h> #define NMAX 501 #define INF 2000000001 long m[NMAX][NMAX]={0}; long a[NMAX][NMAX]={0}; long M,N; long b[NMAX*NMAX]={0}; int xp[3]={-1,0,1},yp[3]={0,-1,0}; void solve() { int i,j; for(i=1;i<=N;i++) { m[1][i]=a[1][i]; } for(i=2;i<=M;i++) { for(j=1;j<=N;j++) { if(m[i][j]>a[i][j]+m[i-1][j]) m[i][j]=a[i][j]+m[i-1][j]; } for(j=2;j<=N;j++) { if(m[i][j]>a[i][j]+m[i][j-1]) m[i][j]=a[i][j]+m[i][j-1]; } for(j=N-1;j>=1;j--) { if(m[i][j]>a[i][j]+m[i][j+1]) m[i][j]=a[i][j]+m[i][j+1]; } } } void output() { int kx,ky,i; long min=INF; int index=1; long q=0; for(i=1;i<=N;i++) { if(min>m[M][i]) { min=m[M][i]; index=i; } } ky=M; kx=index; b[q++]=kx; ky--; if(M==1) { printf("%d",kx); return ; } while(1) { b[q++]=kx; if(ky==1) break; for(i=0;i<3;i++) { if(kx+xp[i]<1||kx+xp[i]>N) continue; if(m[ky][kx]==a[ky][kx]+m[ky+yp[i]][kx+xp[i]]) { ky=ky+yp[i]; kx=kx+xp[i]; break; } } } for(i=q-1;i>=0;i--) printf("%dn",b[i]); } int main() { #if debug freopen("in.txt","r",stdin); freopen("out.txt","w",stdout); #endif scanf("%d%d",&M,&N); int i,j; for(i=1;i<=M;i++) for(j=1;j<=N;j++) { scanf("%d",&a[i][j]); m[i][j]=INF; } solve(); output(); #if debug fclose(stdin); fclose(stdout); #endif; return 1; }
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