Cod sursa(job #2813993)

Utilizator ioanaconescuConescu Ioana ioanaconescu Data 7 decembrie 2021 12:34:49
Problema Parantezare optima de matrici Scor 10
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.03 kb
#include <bits/stdc++.h>
#define NMAX 504
#define DMAX 10004

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

int n, pd[NMAX][NMAX], d[DMAX], cuts[NMAX][NMAX];
void parantezare();

int main()
{
    int i;
    fin>>n;
    for (i=0; i<=n; i++)
        fin>>d[i];
    parantezare();
    fout<<pd[1][n]<<'\n';
    return 0;
}

void parantezare()
{
    int i, j, dif, k;
    long long sum;
    for (i=1; i<=n; i++)
        pd[i][i]=0;
    for (i=1; i<n; i++)
        {
         pd[i][i+1]=d[i-1]*d[i]*d[i+1];
         cuts[i][i+1]=i;
        }
    for (dif=2; dif<n; dif++)
    {
        for (i=1; i<=n-dif; i++)
            {
             j=i+dif;
             pd[i][j]=DMAX;
             for (k=1; k<j; k++)
                 {
                  sum=pd[i][k]+pd[k+1][j]+d[i-1]*d[k]*d[j];
                  if (sum<pd[i][j])
                     {
                      pd[i][j]=sum;
                      cuts[i][j]=k;
                     }
                 }
            }
    }
}