Cod sursa(job #2813934)

Utilizator maria_taraboantaMaria Taraboanta maria_taraboanta Data 7 decembrie 2021 12:09:11
Problema Parantezare optima de matrici Scor 80
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.91 kb
#include <fstream>
#define INF 1000000000000
using namespace std;

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

int n;
int i, j, k;
long long int sum;
int pmin;
int dif;
int d[502];
long long int pd[502][502];
int cuts[502][502];
int main()
{
   fin>>n;
    for (i=0; i<=n; i++)
         fin>>d[i];
    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+1]*d[i]; cuts[i][i+1]=i;}
    for (dif=2; dif<=n-1; dif++)
         for (i=1; i<=n - dif; i++)
             {j=i+dif;
              pd[i][j]= INF;
              for (k=i; 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;
                       }
                   }
             }
    fout<<pd[1][n];
    return 0;
}