uva 348 Optimal Array Multiplication Sequence

#include <cstdio>
#include <cstdlib>
#include <cstring> 
using namespace std;
#define inf 1000000000000000 
//矩阵链乘 
int p[12];
long long  dp[12][12];
int s[12][12];
void printf_path(int i, int j)
{
      if (i == j)
      {
            printf("A%d", i);
            return;
      }
      printf("(");
      printf_path(i, s[i][j]);
      printf(" x "); 
      printf_path(s[i][j] + 1, j);
      printf(")");
} 
       
int main()
{
     int ca = 1;
     int n;  
     while (scanf("%d", &n) == 1 && n)
     {
           for (int i = 1; i <= n; i++)
                scanf("%d %d", &p[i - 1], &p[i]);
           for (int i = 1; i <= n; i++)
              dp[i][i] = 0;
           for (int l = 2 ; l <= n; l++)
               for (int i = 1; i <= n - l + 1; i++)
               { 
                   int j = i + l - 1;
                   dp[i][j] = inf;
                   for (int k = i; k <= j - 1;k++)
                   {
                       int jia = dp[i][k] + dp[k + 1][j] + p[i - 1] * p[k] * p[j]; 
                       if (dp[i][j]  > jia)
                       {
                                    dp[i][j] = jia;
                                    s[i][j] = k;
                       }
                   }
               }
           printf("Case %d: ", ca++);
           printf_path(1, n);
           puts("");
     }
     return 0;
}