Cod sursa(job #2256827)

Utilizator OnofreiTudorOnofrei Tudor OnofreiTudor Data 9 octombrie 2018 10:32:10
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.03 kb
#include <fstream>
#define NMAX 510

using namespace std;

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

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

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

void pd(){
    long long int i, nr, j, minim, k;
    for(i = 1; i<n; i++){
        cmin[i][i+1] = d[i-1]*d[i]*d[i+1];
    }
    for(nr = 3; nr<=n; nr++){
        //calculez costul pentru toate secventele de nr matrice
        for(i = 1; i<=n-nr+1; i++){
            j = i + nr-1;
            minim = cmin[i+1][j] + d[i-1] * d[i] * d[j];
            for(k = i; k<j; k++){
                if(minim > cmin[i][k] + cmin[k+1][j] + d[i-1]*d[k]*d[j]){
                    minim = cmin[i][k] + cmin[k+1][j] + d[i-1]*d[k]*d[j];
                }
                cmin[i][j] = minim;
            }
        }
    }
}

void afisare(){
    fout << cmin[1][n] << '\n';
}

int main()
{
    citire();
    pd();
    afisare();

    return 0;
}