Cod sursa(job #2447267)

Utilizator uvIanisUrsu Ianis Vlad uvIanis Data 12 august 2019 17:03:10
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.93 kb
#include <iostream>
#include <fstream>
#define inf 1LL*1e18
using namespace std;

unsigned long long m[505], dp[505][505];
int n;

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

int main()
{
    fin >> n;

    for(int i = 0; i <= n; i++) fin >> m[i];

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

    for(int i = 1; i < n; i++)
    {
        dp[i][i + 1] = m[i - 1] * m[i] * m[i + 1];
    }

    for(int i = 1; i <= n; i++)
    {
            dp[i][i] = 0;
    }

    for(int l = 3; l <= n; l++)
    {
        for(int i = 1; i <= n - l + 1; i++)
        {
            for(int k = i; k < i + l - 1; k++)
            {

                dp[i][i + l - 1] = min(dp[i][i + l - 1], dp[i][k] + dp[k + 1][i + l - 1] + m[i - 1]*m[k]*m[i + l - 1]);
            }

        }
    }

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