Cod sursa(job #812958)

Utilizator cristina_hoameaCristina cristina_hoamea Data 14 noiembrie 2012 19:03:56
Problema Parantezare optima de matrici Scor 0
Compilator cpp Status done
Runda Arhiva educationala Marime 1.14 kb
#include <fstream>

using namespace std;

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

long long int d[100], cmin[100][100], n, op[100];
//cmin[i][j] nr minim de inmultiri elementare necesare pt a inmulti matricile de la a[i] la a[j] d[i] marimea matricilor

void citire();
void pd();

int main()
{
    citire();
    pd();
    return 0;
}

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

void pd ()
{
    long long int i, j, aux, k;
    //initializare
    for(i=1; i<=n; i++)
        cmin[i][i]=0;
    for(i=1; i<=n-1; i++)
        cmin[i][i+1]=d[i-1]*d[i]*d[i+1];
    //for(p=2; p<=n-1; p++)
    for(i=1; i<=n-p; i++)
        for(j=i+2; j<n; j++)
        {
            //j=i+p;
            cmin[i][j]=cmin[i][i]+cmin[i+1][j]+d[i-1]*d[i]*d[j];
            cmin[j][i]=i;
            for(k=i+1; k<=j-1; k++)
            {
                aux=cmin[i][k]+cmin[k+1][j]+d[i-1]*d[k]*d[j];
                if(cmin[i][j]>aux)
                {
                    cmin[i][j]=aux;
                    cmin[j][i]=k;
                }
            }
        }
    fout<<cmin[1][n];
}