HihoCoder1338 A Game（记忆化搜索）

Posted 2020-10-16 ---学习ing---

时间限制:10000ms

单点时限:1000ms

内存限制:256MB

描述

Little Hi and Little Ho are playing a game. There is an integer array in front of them. They take turns (Little Ho goes first) to select a number from either the beginning or the end of the array. The number will be added to the selecter‘s score and then be removed from the array.

Given the array what is the maximum score Little Ho can get? Note that Little Hi is smart and he always uses the optimal strategy. 

输入

The first line contains an integer N denoting the length of the array. (1 ≤ N ≤ 1000)

The second line contains N integers A1, A2, ... AN, denoting the array. (-1000 ≤ Ai ≤ 1000)

输出

Output the maximum score Little Ho can get.

样例输入

4
-1 0 100 2

样例输出

99

 

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<iostream>
using namespace std;
int a[1010],dp[1010][1010];
int getdp(int L,int R)
{
    if(dp[L][R]) return dp[L][R];
    if(L == R) return a[L];
    if(L==R-1) dp[L][R]=max(a[L],a[R]);
    else dp[L][R]=max(a[L]+min(getdp(L+2,R),getdp(L+1,R-1)),a[R]+min(getdp(L,R-2),getdp(L+1,R-1)));
    return dp[L][R];
}
int main()
{
    int n,i;
    scanf("%d",&n);
    for(i = 1;i <= n;i ++)  scanf("%d",&a[i]);
    printf("%d\n",getdp(1,n));
    return 0;
}