Cod sursa(job #3361957)

Utilizator JenJenCristache Ion JenJen Data 30 iulie 2026 15:05:56
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.93 kb
#include <bits/stdc++.h>
using namespace std;

ifstream in ("podm.in");
ofstream out ("podm.out");

int n;
long long dp[505][505];
int v[505];
const long long INF = 1e18 + 1;
// dp[i][j] = nr minim de inmultiri pt a rezolva matricile de la i la j

int main()
{
    in >> n;

    for (int i = 0; i <= n; i++)
    {
        in >> v[i];
    }

    for (int i = 1; i <= n; i++)
    {
        for (int j = 1; j <= n; j++)
        {
            if (i == j) dp[i][j] = 0;
            else dp[i][j] = INF;
        }
    }

    for (int len = 2; len <= n; len++)
    {
        for (int i = 1; i <= n - len + 1; i++)
        {
            int j = i + len - 1;
            for (int k = i; k < j; k++)
            {
                long long c = dp[i][k] + dp[k + 1][j] + 1LL * v[i - 1] * v[k] * v[j];
                if (c < dp[i][j]) dp[i][j] = c;
            }
        }
    }

    out << dp[1][n];
    return 0;
}