洛谷 P1880 [NOI1995]石子合并

转移方程是看别人的……
参考:易懂https://www.luogu.org/blog/user45556/solution-p1880
区间动规经典题目?

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#include<iostream>
#include<string>
#include<cstring>
#include<algorithm>
using namespace std;
int n;
int arr[205];
int presum[205];
int fMax[205][205], fMin[205][205];
int dfsMax(int l, int r) {
    if (l == r)return 0;
    if (fMax[l][r] != 0)return fMax[l][r];
    int dIJ = presum[r] - presum[l - 1];
    int mmax = 0;
    for (int k = l; k < r; k++) mmax = max(mmax, dfsMax(l, k) + dfsMax(k + 1, r) + dIJ);
    return fMax[l][r] = mmax;
}
int dfsMin(int l, int r) {
    if (l == r)return 0;
    if (fMin[l][r] != 0)return fMin[l][r];
    int dIJ = presum[r] - presum[l - 1];
    int mmin = 0x7fffffff;
    for (int k = l; k < r; k++)mmin = min(mmin, dfsMin(l, k) + dfsMin(k + 1, r) + dIJ);
    return fMin[l][r] = mmin;
}
int main(){
    cin >> n;
    for (int i = 1; i <= n; i++)cin >> arr[i];
    for (int i = n + 1; i <= 2*n; i++)arr[i] = arr[i - n];
    for (int i = 1; i <= 2 * n; i++)presum[i] = presum[i - 1] + arr[i];
    int mmin = 0x7fffffff;
    for (int i = 1; i <= n; i++) {
        mmin = min(mmin, dfsMin(i, i + n - 1));
    }
    cout << mmin << endl;
    int mmax = 0;
    for (int i = 1; i <= n; i++) {
        mmax = max(mmax, dfsMax(i, i + n - 1));
    }
    cout << mmax << endl;

}

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