Cod sursa(job #3183241)

Utilizator PetraPetra Hedesiu Petra Data 11 decembrie 2023 12:37:31
Problema Parantezare optima de matrici Scor 80
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.02 kb
#include <iostream>
#include <fstream>
#include <climits>

using namespace std;

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

const int NMAX = 502, inf = LLONG_MAX;
int n;
long long dp[NMAX][NMAX]; /// dp[i][i] - nr min de operatii pentru a inmulti matricea i cu matricea j
struct matrice {
    int n, m;
};
matrice a[NMAX];

void citire()
{
    fin >> n;
    int prev;
    fin >> prev;
    for (int i = 1; i <= n; i++)
    {
        int x;
        fin >> x;
        a[i] = {prev, x};
        prev = x;
    }
}

int main()
{
    citire();

    for (int i = 1;  i < n; i++)
        dp[i][i+1] = a[i].n*a[i].m*a[i+1].n;

     for (int d = 2; d <= n; d++)
    {
        for (int i = 1; i+d-1 <= n; i++)
        {
            int j = i + d - 1;
            dp[i][j] = LLONG_MAX;
            for (int k = i; k < j; k++)
            {
                dp[i][j] = min(dp[i][j], dp[i][k] + dp[k+1][j] + a[i].n*a[k].m*a[j].m);
            }
        }
    }

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