Cod sursa(job #1094459)

Utilizator Arodoet96Teodora Stoleru Arodoet96 Data 29 ianuarie 2014 14:14:55
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.25 kb
#include <fstream>
#define DMAX 504
#define INF 1000000000000ll

using namespace std;

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

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

void citire();
void pd();
void afisare();

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

void citire()
{
    int i;
    fin>>n;
    for(i=0;i<=n;i++)
        fin>>d[i];
}
void pd()
{
    int i,j,x;
    long long int k, minim, kmin;
    //initializari
    //diagonala principala
    for(i=0;i<=n;i++)
       nrmin[i][i]=0;
    //doua matrici
    for(i=1;i<n;i++)
        nrmin[i][i+1]=d[i-1]*d[i]*d[i+1];
    //recurenta pentru n matrici, x=3,n
    for(x=3;x<=n;x++)
        for(i=1;i<=n-x+1;i++)
        {
            //am x matrici incepand de la pozitia i
            //i=inceputul, j=finalul
            j=i+x-1;
            minim=INF;
            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];
}