Cod sursa(job #3177472)

Utilizator Andrei_EmanuelPuiu Andrei Stefan Emanuel Andrei_Emanuel Data 29 noiembrie 2023 11:00:06
Problema Parantezare optima de matrici Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.11 kb
#include <iostream>
#include <fstream>
using namespace std;

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

const int dim = 505, inf = 1e4 * 5 * 1e2 * 10;
int dimens[dim];
int dp[dim][dim];   /// dp[i][j] = nr MINIM de inm pt sirul de matrici cu indicii i, i + 1, i + 2, ... , j

int main()
{

    int n, i, j, k, minim;
    f >> n;
    for(i = 1; i <= n + 1; i ++)
        f >> dimens[i];

    for(i = 1; i < n; i ++)
        dp[i][i + 1] = dimens[i] * dimens[i + 1] * dimens[i + 2];   /// Formez DP

    for(i = 1; i <= n; i ++)
        for(j = i + 2; j <= n; j ++)
        {
            minim = inf;
            for(k = i; k < j; k ++)
                minim = min(minim, dp[i][k] + dp[k + 1][j] +
                            dimens[i] * dimens[k + 1] * dimens[j + 1]);
            dp[i][j] = minim;
        }
    /*
    g << "Matricea dp[][]: " << '\n';
    for(i = 1; i <= n; i ++)
    {
        for(j = 1; j <= n; j ++)
            g << dp[i][j] << '\t';
        g << '\n';
    }

    g << "\nSunt necesare " << dp[1][n] << "  inmultiri." << '\n';
    */
    g << dp[1][n];
    return 0;
}