c_cpp 爆破气球

Posted 2021-05-14

//https://www.geeksforgeeks.org/samsung-semiconductor-institute-of-researchssir-software-intern-fte-set-2/
#include <bits/stdc++.h>
using namespace std;

int main() {
    int n;
    cin>>n;
    int arr[n];
    for (int i=0;i<n;i++)
        cin>> arr[i];

    int a[n+2];
    a[0]= 1;
    a[n+1]= 1;
    for (int i=1;i<=n;i++)
        a[i]= arr[i-1];

    int dp[n+2][n+2];
    memset (dp, 0, sizeof (dp));

    for (int len= 1;len<=n;len++) {
        for (int i=1;i<=n-len+1;i++) {
            int j= i+len-1;
            for (int k= i;k<=j; k++) {
                int c= dp[i][k-1]+dp[k+1][j];
                if (i== 1 && j== n)
                    c+= a[k];
                else
                    c+= a[i-1]*a[j+1];
                dp[i][j]= max(dp[i][j], c);

            }

        }
    }
    cout<< dp[1][n];
}