Cod sursa(job #2544712)

Utilizator alex.cojocaruAlex Cojocaru alex.cojocaru Data 12 februarie 2020 13:18:26
Problema Ciclu hamiltonian de cost minim Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.29 kb
#include <iostream>
#include <stdio.h>

#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 ] ;


int hamilton (int nod, int mask, int n) {
  if (d[mask][nod] != INFINIT )
    return d[mask][nod] ;
  else {
    for (int i = 0 ; i < n ; i++ ) {
      if (mat[i][nod] > 0 ) {
        if (mask & (1 << i)) {
          if (!(mask != (1 << nod) + 1 && mat[0][i] == 0 ) )
            d[mask][nod] = std::min(d[mask][nod], hamilton(i, mask ^ (1 << nod), n) + mat[i][nod]) ;
        }
      }
    }
    return d[mask][nod] ;
  }
}

int main() {

  FILE *fin, *fout ;
  fin = fopen ("hamilton.in", "r" ) ;
  fout = fopen ("hamilton.out", "w" ) ;
  int n, m, i, u, v, cost, j, minim ;
  fscanf (fin, "%d%d", &n, &m ) ;
  for (i = 0 ; i < m ; i++ ) {
    fscanf (fin, "%d%d%d", &u, &v, &cost ) ;
    mat[v][u] = cost ; /// muchiile invers
  }
  for (i = 0 ; i < n ; i++ ) {
    for (j = 0 ; j < (1 << n) ; j++ )
      d[i][j] = -1 ;
  }
  minim = INFINIT ;
  d[1][0] = 0 ;
  for (i = 1 ; i < n ; i++ )
    if (mat[i][0] > 0 )
      minim = std::min(minim, hamilton(i, (1 << n) - 1, n) + mat[i][0] ) ;
  fprintf (fout, "%d", minim ) ;
  return 0;
}