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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
using namespace std;
ifstream fin("bfs.in");
ofstream fout("bfs.out");
class Graf{
private:
int Nr_Noduri, Nr_Muchii;
vector < vector<int> > matrice_adiacenta;
public:
Graf(int N, int M, vector< vector<int> > & matrice); // constructor
vector < vector<int> > getMatriceAdiacenta()
{
return matrice_adiacenta;
}
void Citire_Graf_Orientat();
void BFS(int nod_Start);
};
// constructor
Graf :: Graf(int N, int M, vector < vector<int> > & matrice)
{
Nr_Noduri = N;
Nr_Muchii = M;
matrice_adiacenta = matrice;
}
void Graf :: Citire_Graf_Orientat()
{
for ( int i = 1; i <= Nr_Muchii; i++ )
{
int x, y;
fin >> x >> y;
matrice_adiacenta[x].push_back(y);
}
}
void Graf :: BFS(int nod_Start)
{
queue <int> Q;
int x, y;
vector <int> cost (Nr_Noduri+1, -1);
// inserez nodul de start in coada vida, iar acesta va avea costul 0
cost[nod_Start] = 0;
Q.push(nod_Start);
while ( !Q.empty() )
{
// la fiecare pas luam nodul din inceputul cozii, dupa care il eliminam
x = Q.front();
Q.pop();
for ( int i = 1; i < matrice_adiacenta[x].size(); i++ )
if ( cost[matrice_adiacenta[x][i]] == -1 )
{
// costul unui nod nou adaugat va fi costul nodului care l-a adaugat + 1.
cost[matrice_adiacenta[x][i]] = cost[x] + 1;
Q.push(matrice_adiacenta[x][i]);
}
}
// afisare costuri
for ( int i = 1; i <= Nr_Noduri; i++ )
fout << cost[i] << " ";
}
int main()
{
int N, M, S;
fin >> N >> M >> S;
vector < vector<int> > matrice;
vector <int> aux(1,-1);
matrice.resize(N+1, aux);
Graf G(N, M, matrice);
G.Citire_Graf_Orientat();
G.BFS(S);
return 0;
}