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59 changes: 59 additions & 0 deletions Shortest_path_BFS.cpp
Original file line number Diff line number Diff line change
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//Shortest path in undirected graph using BFS.

#include<bits/stdc++.h>
using namespace std;
#define ll long long

vector<ll> adj[10005];
ll dis[10005],vis[10005];

void bfs(ll src){

queue<ll> q;
vis[src]=1;
dis[src]=0;
q.push(src);

while(!q.empty()){

int node = q.front();
q.pop();

for(auto it : adj[node]){ //traversing in the adjacency list.
if(vis[it]==0){
dis[it]=dis[node]+1;
q.push(it);
vis[it]=1;
}
}
}
}

int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);

ll t;
cin>>t;

while(t--){

ll n,m; //no. of nodes & vertices.
cin>>n>>m;

for(ll i=0;i<=n;i++) adj[i].clear() , vis[i]=0;

while(m--){
ll a,b;
cin>>a>>b; adj[a].push_back(b); adj[b].push_back(a);
}

bfs(1); //calling the above BFS function.

for(ll i = 1; i <= n; i++) //printing path from source to ith node.
cout<<dis[i]<<" ";

cout<<endl;
}
}