This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define endl "\n"
#define pb push_back
#define int long long
using namespace std;
const int inf = 2e18 + 5;
const int N = 5e3 + 5;
const int mod = 998244353;
int32_t main(){
//freopen("in.txt","r", stdin);
int n, m, q, k;
cin>>n>>m>>q>>k;
vector<int> st(q);
vector<int> dis(n+1, mod);
for(int i = 0; i < q; i++){
cin>>st[i];
dis[st[i]] = 0;
}
vector<int> adj[n+1];
for(int i = 0; i < m; i++){
int u, v;
cin>>u>>v;
adj[u].pb(v);
adj[v].pb(u);
}
queue<int> qq;
vector<int> vis(n+1);
for(int i = 0; i < q; i++){
qq.push(st[i]);
vis[st[i]] = 1;
}
while(!qq.empty()){
int x = qq.front();
qq.pop();
for(auto itr: adj[x]){
if(!vis[itr]){
vis[itr] = 1;
dis[itr] = dis[x] + 1, dis[itr];
//cout<<itr<<" "<<dis[itr]<<endl;
qq.push(itr);
}
}
}
for(int i = 1; i <= n; i++){
int x = dis[i], ans = 0, kk = k;
while(x > 0){
x -= kk;
kk *= 2;
ans++;
}
cout<<ans<<" ";
}
cout<<endl;
return 0;
}
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