uva 10304

最优二叉查找数 看了这位大牛 的博客 http://www.cnblogs.com/lpshou/archive/2012/04/26/2470914.html

/*************************************************************************
    > Author: xlc2845       > Mail: xlc2845@gmail.com
    > Created Time: 2013年11月13日 星期三 06时35分23秒
 ************************************************************************/

#include <iostream>
#include <cstdio>
#include <cmath>
#include <algorithm>
#include <cstring>
#include <queue>
#include <stack>
#include <set>
#include <cstdlib>
#define INF 0x7fffffff
#define maxn 210

using namespace std;

int n, a[maxn], sum[maxn], dp[maxn][maxn];

int main()
{

    while (scanf("%d", &n) == 1)
    {
        sum[0] = 0;
        for (int i = 1; i <= n; ++i)
        {
            scanf("%d", &a[i]);
            sum[i] = sum[i-1] + a[i];
        }
        memset(dp, 0, sizeof(dp));
        for (int q = 2; q <= n; q++)
        {
            for (int i = 1; i+q-1 <= n; i++)
            {
                int j = i+q-1;
                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] + sum[j] - sum[i-1] - a[k]);
            }
        }
        printf("%d\n", dp[1][n]);
    }
    return 0;
}