Cod sursa(job #1926591)

Utilizator rares96cheseliRares Cheseli rares96cheseli Data 14 martie 2017 15:20:19
Problema Parantezare optima de matrici Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 0.81 kb
#include <bits/stdc++.h>

#define NMAX 505

using namespace std;

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

int N, dp[NMAX][NMAX], dim[NMAX];

int main() {
    f >> N;
    for (int i = 0; i <= N; ++i) {
        f >> dim[i];
    }

    for (int i = 1; i <= N; ++i) {
        for (int j = 1; j <= N; ++j) {
            dp[i][j] = (1 << 30);
        }
    }

    for (int i = 1; i < N; ++i) {
        dp[i][i + 1] = dim[i - 1] * dim[i] * dim[i + 1];
        dp[i][i] = 0;
    }

    dp[N][N] = 0;
    for (int i = N - 1; i > 0; --i) {
        for (int j = i; j <= N; ++j) {
            for (int k = i; k < j; ++k) {
                dp[i][j] = min(dp[i][j], dp[i][k] + dp[k + 1][j] + dim[i - 1] * dim[k] * dim[j]);
            }
        }
    }

    g << dp[1][N] << '\n';
    return 0;
}