#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int MAXN = 100000;
const int LINF = 2000000000000000001;
//_ ***************************** START Below *******************************
//* Parent BFS :
//* Not suited : TLE / MLE
//* Visited marked in parent
//* Node might be visited twice i.e. queue contains duplicates
//* 1
//* / \
//* 2 5
//* | |
//* 3 ------ 4
//* 4 is 1st explored by 5 and put in queue (not visited yet)
//* lvl[4] = 2
//* 4 is again explored by 3 and put in queue (not visited yet)
//* lvl[4] = 3 ❌
//* lvl[4] = min(lvl[4), lvl[3]+1 ) = 2
vector<vector<int>> graph;
void consistency(int n, int m){
queue<int> q;
q.push(1);
vector<int> visited(n+1, false);
vector<int> levels(n+1, INF);
levels[1] = 0;
while(!q.empty()){
auto node = q.front(); q.pop();
if(visited[node]) continue;
visited[node] = true;
for(int ch : graph[node]){
if(visited[ch]) continue;
q.push(ch);
levels[ch] = min(levels[ch], levels[node]+1);
}
}
for(int i=1; i<=n; i++){
cout << levels[i] << " ";
}cout << endl;
}
void solve() {
int n, m;
cin >> n >> m;
graph.resize(n+1); // 1 based indexing
for(int i=0; i<m; i++){
int x, y;
cin >> x >> y;
graph[x].push_back(y);
graph[y].push_back(x);
}
consistency(n, m);
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
while (t--) {
solve();
}
return 0;
}
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