Cod sursa(job #2976601)

Utilizator bogdan007Bogdan Patrascu bogdan007 Data 9 februarie 2023 18:20:18
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.83 kb
#include <fstream>

using namespace std;

const int N = 1000;
const long long INF = 1LL << 62;

int dim[N+2], n;
long long dp[N+1][N+1];

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

int main()
{
    in >> n;
    for(int i = 1; i <= n + 1; i++)
    {
        in >> dim[i];
    }
    for (int i = n - 1; i >= 1; --i)
    {
        for (int j = i + 1; j <= n; ++j)
        {
            dp[i][j] = INF;
            for (int k = i; k < j; ++k)
            {
                long long rez = dp[i][k] + dp[k+1][j] + (long long)dim[i] * dim[k+1] * dim[j+1];
                if (rez < dp[i][j])
                {
                    dp[i][j] = rez;
                    dp[j][i] = k;
                }
            }
        }
    }
    out << dp[1][n] << '\n';
    in.close();
    out.close();
    return 0;
}