Cod sursa(job #1094444)

Utilizator robertc1Robert Ciobotaru robertc1 Data 29 ianuarie 2014 14:11:18
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.1 kb
#include <fstream>
#define NMAX 504
#define IN "podm.in"
#define OUT "podm.out"
#define INFINIT 5000000000000ll
using namespace std;
ifstream fin(IN);
ofstream fout(OUT);

long long int n;
long long int d[NMAX];
long long int nrmin[NMAX][NMAX];

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


void pd()
{
    long long int i,x,j,k,minim,kmin;
    for(i=1; i<n; i++) nrmin[i][i+1]=d[i-1]*d[i]*d[i+1];

    for(x=3; x<=n; x++)
        for(i=1; i<=n-x+1; i++)
            //x matrici de i. Merg de la a[i]pana la A[i+x-1]
        {
            j=i+x-1;
            minim=INFINIT;
            for(k=i; k<j; k++)
                if(minim>(nrmin[i][k]+nrmin[k+1][j]+d[i-1]*d[k]*d[j]))
                {
                    minim=nrmin[i][k]+nrmin[k+1][j]+d[i-1]*d[k]*d[j];
                    kmin=k;
                }
            nrmin[i][j]=minim;
            nrmin[j][i]=kmin;
        }
}


void afisare()
{
    fout<<nrmin[1][n]<<'\n';
}
int main()
{
    citire();
    pd();
    afisare();
    return 0;
}