hdu4281 区间dp

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=4283

#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstring>
using namespace std;

const int maxn = 105;
const int INF = 0x3f3f3f3f;

int dp[maxn][maxn];
//dp[i][j]表示只考虑编号为i到编号为j的人上场的最小不开心值；
//枚举i第K(1=<K<=j-i+1)个上场,dp[i][j] = dp[i+1][i+k-1] +　D[i] * (k-1) + dp[i+k][j] + k*(sum[j]-sum[i+k-1]);
int sum[maxn];
int D[maxn];
int N;

int main()
{
    //freopen("E:\\acm\\input.txt","r",stdin);
    int T;
    cin>>T;
    for(int cas=1;cas<=T;cas++){
        cin>>N;
        sum[0] = 0;
        for(int i=1;i<=N;i++){
            scanf("%d",&D[i]);
            sum[i] = sum[i-1] + D[i];
        }
        memset(dp,0x3f,sizeof(dp));
        for(int i=0;i<=N;i++) dp[i+1][i] = 0,dp[i][i] = 0;

        for(int i=N;i>=1;i--)
            for(int j=i+1;j<=N;j++){
                for(int k=1;k<=j-i+1;k++){
                    dp[i][j] = min(dp[i][j],dp[i+1][i+k-1]+D[i]*(k-1)+dp[i+k][j]+k*(sum[j]-sum[i+k-1]));
                }
        }
       printf("Case #%d: %d\n",cas,dp[1][N]);
    }
    return 0;
}