Cod sursa(job #1518612)

Utilizator AlexandruValeanuAlexandru Valeanu AlexandruValeanu Data 6 noiembrie 2015 00:11:14
Problema Parantezare optima de matrici Scor 80
Compilator cpp Status done
Runda Arhiva educationala Marime 0.72 kb
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 500 + 1;

int A[MAX_N];
long long dp[MAX_N][MAX_N];

int N;

int main()
{
    ifstream in("podm.in");
    ofstream out("podm.out");

    in >> N;

    for (int i = 0; i <= N; ++i)
        in >> A[i];

    for (int i = N; i >= 1; i--)
    {
        dp[i][i] = 0;

        if (i < N)
            dp[i][i + 1] = A[i - 1] * A[i] * A[i + 1];

        for (int j = i + 2; j <= N; ++j)
        {
            long long best = numeric_limits<long long>::max();

            for (int k = i; k < j; ++k)
                best = min(best, dp[i][k] + dp[k + 1][j] + A[i - 1] * A[k] * A[j]);

            dp[i][j] = best;
        }
    }

    out << dp[1][N] << "\n";

    return 0;
}