Cod sursa(job #2148346)

Utilizator stefanst77Luca Stefan Ioan stefanst77 Data 1 martie 2018 17:51:26
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.87 kb
#include <bits/stdc++.h>
#define nmax 507

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

int n;
int d[nmax];
long long dp[nmax][nmax];

void Citire()
{
    int i;
    fin >> n;
    for (i = 0; i <= n; i++)
        fin >> d[i];
}

void DP()
{
    int i, j, k, dif;
    long long minim;
    /// initializari
    for (i = 1; i <= n; i++)
        dp[i][i+1] = 1LL * d[i-1] * d[i] * d[i+1];

    for (dif = 2; dif < n; dif++)
        for (i = 1; i <= n-dif; i++)
        {
            j = i + dif;
            minim = 1LL << 62;
            for (k = i; k < j; k++)
                minim = min(minim, dp[i][k] + dp[k+1][j] + 1LL * d[i-1] * d[k] * d[j]);
            dp[i][j] = minim;
        }

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

int main()
{
    Citire();
    DP();
    fin.close();
    fout.close();
    return 0;
}