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#include <iostream>
#include <fstream>
#include <list>
#include <stack>
#include <queue>
using namespace std;
class Link {
private:
unsigned from;
unsigned to;
public:
Link(unsigned from, unsigned to): from(from), to(to) {}
unsigned getTo() {
return this->to;
}
};
class Graph {
private:
unsigned V;
std::list<Link> *adj;
void BFSUtil(unsigned start, bool *visited, int *out) {
std::queue<std::pair<int, unsigned>> q;
q.push(std::make_pair(0, start));
while(!q.empty()) {
unsigned v = q.front().second;
unsigned c = q.front().first;
q.pop();
if (!visited[v]) {
visited[v] = true;
out[v] = c;
for(auto it : adj[v])
q.push(std::make_pair(c + 1, it.getTo()));
}
}
}
public:
Graph(unsigned V): V(V) {
adj = new std::list<Link>[V + 1];
}
void addEdge(unsigned from, unsigned to) {
Link link(from, to);
adj[from].push_back(link);
}
void printGraph() {
for(unsigned i = 1; i <= this->V; i ++) {
for(auto it : adj[i]) {
std::cout << "nodul " << i << " este conectat cu " << it.getTo() << std::endl;
}
}
}
void BFS(unsigned start) {
int *out = new int[this->V + 1];
bool *visited = new bool[this->V + 1];
for(unsigned i = 1; i <= this->V; i ++) {
visited[i] = false;
out[i] = -1;
}
BFSUtil(start, visited, out);
for(unsigned i = 1; i <= this->V; i ++) {
std::cout << out[i] << " ";
}
delete[] visited;
delete[] out;
}
};
int main() {
std::ifstream in("bfs.in");
std::ofstream out("bfs.out");
unsigned long n, m, s, a, b;
in >> n >> m >> s;
auto G = new Graph(n);
for (unsigned long i = 0; i < m; i ++) {
in >> a >> b;
G->addEdge(a, b);
}
G->BFS(s);
return 0;
}