Cod sursa(job #2182157)

Utilizator ioanavasilescuIoana Vasilescu ioanavasilescu Data 22 martie 2018 10:37:55
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.04 kb
#include <iostream>
#include <fstream>
#include <limits.h>

#define nMax 505

using namespace std;

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

long long m[nMax][nMax];
int n;
long long d[nMax];

int main()
{
    fin>>n;
    for(int i=0;i<=n;i++)
        fin>>d[i];
    for(int diag=0;diag<n;diag++)
    {
        if(diag==0)
            for(int i=1;i<=n;i++)
                m[i][i]=0;
        else if(diag==1)
            for(int i=1;i<n;i++)
                m[i][i+1]=d[i-1]*d[i]*d[i+1];
        else
        {
            for(int i=1;i<=n-diag;i++)
            {
                long long parMin=LONG_LONG_MAX;
                long long parAct=0;
                for(int k=i;k<i+diag;k++)
                {
                    parAct=0;
                    parAct+=m[i][k]+m[k+1][i+diag]+d[i-1]*d[k]*d[i+diag];
                    if(parAct<parMin)
                        parMin=parAct;
                }
                m[i][i+diag]=parMin;
            }
        }
    }
    fout<<m[1][n];
    return 0;
}