uva 10559

记忆话搜索 DP

看了网上题解  状态方程真是巧妙 orz

#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <set>
#include <stack>
#include <vector>
#include <sstream>
#include <cstring>
#include <string>
#include <map>
#include <queue>
#include <algorithm>
#include <iostream>
#define FFI freopen("in.txt", "r", stdin)
#define maxn 210
#define INF 0x3f3f3f3f
#define inf 10000000
#define MOD 1000000007
#define ULL unsigned long long
#define LL long long
#define _setm(houge) memset(houge, INF, sizeof(houge))
#define _setf(houge) memset(houge, -1, sizeof(houge))
#define _clear(houge) memset(houge, 0, sizeof(houge))
using namespace std;

int dp[maxn][maxn][maxn];
int a[maxn], n;
int dfs(int l, int r, int k)
{
    if(l > r) return 0;
    if(dp[l][r][k]) return dp[l][r][k];
    dp[l][r][k] = dfs(l, r-1, 0) + (1+k)*(1+k);
    for(int i = r-1; i >= l; -- i) {
	    if(a[r] == a[i]) {
	        dp[l][r][k] = max(dp[l][r][k], dfs(l, i, k+1)+dfs(i+1, r-1, 0));
	    }
	}
    return dp[l][r][k];
}

int main() {
    FFI;
    int t, ca = 0;
    scanf("%d", &t);
    while(t --) {
    	_clear(dp);
        scanf("%d",&n);
        for(int i = 1; i <= n; ++ i)
        scanf("%d", &a[i]);
        printf("Case %d: %d\n", ++ ca, dfs(1, n, 0));
    }
    return 0;
}