POJ 1651 —— Multiplication Puzzle

题目：http://poj.org/problem?id=1651

#include <cstdio>
#include <iostream>
#define INF 0x3f3f3f3f
using namespace std;

int a[105];
int dp[105][105];

int main ()
{
    int n;
    while(scanf("%d", &n) != EOF) {
        for(int i=0; i<n; i++) {
            scanf("%d", &a[i]);
        }
        for(int step=0; step<n-2; step++) {
            for(int i=1; i+step<n-1; i++) {
                int j = i+step;
                dp[i][j] = INF;
                for(int k=i; k<=j; k++) {
                    dp[i][j] = min(dp[i][j], dp[i][k-1]+dp[k+1][j]+a[i-1]*a[k]*a[j+1]);
                }
            }
        }
        printf("%d\n", dp[1][n-2]);    
    }
    
    return 0;
}