Cod sursa(job #2544878)

Utilizator alex.cojocaruAlex Cojocaru alex.cojocaru Data 12 februarie 2020 17:06:52
Problema Ciclu hamiltonian de cost minim Scor 90
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.46 kb
#include <iostream>
#include <stdio.h>
#include <vector>

#define NMAX 18
#define INFINIT 1000000000

using namespace std;

struct muchie {
  int to ;
  int cost ;
};

int mat [ NMAX + 1 ] [ NMAX + 1 ] ;
int d [ 1 << (NMAX+1)] [ NMAX + 1 ] ;
vector <int> g [ NMAX + 1 ] ;

int main() {

  FILE *fin, *fout ;
  fin = fopen ("hamilton.in", "r" ) ;
  fout = fopen ("hamilton.out", "w" ) ;
  int n, m, i, u, v, cost, j, minim, mask, nod ;
  fscanf (fin, "%d%d", &n, &m ) ;
  for (i = 0 ; i < n ; i++ ) {
    for (j = 0 ; j < n ; j++ )
      mat[i][j] = INFINIT ;
  }
  for (i = 0 ; i < m ; i++ ) {
    fscanf (fin, "%d%d%d", &u, &v, &cost ) ;
    mat[u][v] = cost ; /// muchiile invers
    g[v].push_back(u) ;
  }
  for (i = 0 ; i < (1 << n) ; i++ ) {
    for (j = 0 ; j < n ; j++ )
      d[i][j] = INFINIT ;
  }
  minim = INFINIT ;
  d[1][0] = 0 ;

  for (mask = 0 ; mask < 1 << n ; mask++ ) {
    for (nod = 0 ; nod < n ; nod++ ) {
      for (auto elem : g[nod] ) {
        if (mask & (1 << elem)) {
          if (!(mask != (1 << nod) + 1 && mat[0][elem] == 0 ) )
            d[mask][nod] = std::min(d[mask][nod], d[mask ^ (1 << nod)][elem] + mat[elem][nod]) ;
        }
      }
    }
  }
  for (auto elem : g[0] )
    if (mat[elem][0] > 0 )
      minim = std::min(minim, d[(1 << n) - 1][elem] + mat[elem][0] ) ;
  if (minim == INFINIT )
    fprintf (fout, "Nu exista solutie\n" ) ;
  else
    fprintf (fout, "%d\n", minim ) ;
  return 0;
}