Cod sursa(job #2008989)

Utilizator tanasaradutanasaradu tanasaradu Data 8 august 2017 11:50:51
Problema Parantezare optima de matrici Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 0.72 kb
#include <bits/stdc++.h>
using namespace std;
ifstream fin("podm.in");
ofstream fout("podm.out");
const int nmax=502;
int a[nmax],dp[nmax][nmax],n;
inline void Read()
{
    fin>>n;
    for(int i=0;i<=n;i++)
            fin>>a[i];
}
inline void DP()
{
    for(int i=1;i<n;i++)
        dp[i][i+1]=a[i-1]*a[i]*a[i+1];
    for(int pas=2;pas<n;pas++)
    {
        for(int i=1;i<=n-pas;i++)
        {
            int j=i+pas;
            int x=1000000000;
            for(int k=i;k<=j-1;k++)
                x=min(x,dp[i][k]+dp[k+1][j]+a[i-1]*a[k]*a[j]);
            dp[i][j]=x;
        }
    }
    fout<<dp[1][n]<<"\n";
}
int main()
{
    Read();
    DP();
    fin.close();
    fout.close();
    return 0;
}