hoj1249 Optimal Array Multiplication Sequence

/*This Code is Submitted by billforum for Problem 1249 at 2012-03-18 18:47:08*/
#include <iostream>
#include <cstring>
#include <cstdio>

using namespace std;

const int N=15;
const int MAX=100000000;
int x[N],m[N][N],d[N][N];

void print(int i,int j)
{
        if(i==j) printf("A%d",i);
        else if(i<j)
        {
                printf("(");
                print(i,d[i][j]);
                printf(" x ");
                print(d[i][j]+1,j);
                printf(")");
        }
}

int main()
{
   // freopen("in.txt","r",stdin);
    int n,tmp,id=0;
    while(cin>>n)
    {
                id++;
       if(n==0) break;
           for(int i=1;i<=n;i++)
                   cin>>x[i]>>tmp;
                   x[n+1]=tmp;
           memset(m,MAX,sizeof(m));
           for(int i=1;i<=n;i++)
           {
                   m[i][i]=0;
                   for(int j=i+1;j<=n;j++)
                        m[i][j]=MAX;
           }
           memset(d,0,sizeof(d));
           
           for(int t=1;t<=n;t++)
                   for(int i=1;i<=n-t+1;i++)
                   {
                           int j=i+t-1;
                           for(int k=i;k<j;k++)
                           {
                                   if(m[i][j]>(m[i][k]+m[k+1][j]+x[i]*x[k+1]*x[j+1]))
                                           {
                                                  m[i][j]=(m[i][k]+m[k+1][j]+x[i]*x[k+1]*x[j+1]);
                                                   d[i][j]=k;  
                                           }
                           }
                   }
                   
                //cout<<d[1][3]<<endl;
                //cout<<m[1][3]<<endl;
                cout<<"Case "<<id<<": ";
            print(1,n);
                cout<<endl;
                //put(1,n);
    }

    return 0;
}