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 f(i,j,n) for(ll i = j; i < n; ++i)
#define sz(s) (ll) (s.size())
using namespace std;
typedef long long ll;
typedef vector<ll> vll;
const int N = 1e5 + 20;
const ll mod = 1e9 + 7;
ll n,m,q,k,dis[N],vis[N];
vll ih,adj[N];
void multi_bfs(){
f(i,1,n+1) dis[i] = (n<<1), vis[i] = 0;
queue<ll> qe;
for(auto it : ih){
dis[it] = 0;
qe.push(it);
}
while(!qe.empty()){
ll v = qe.front();
qe.pop();
if(vis[v]) continue;
vis[v] = 1;
for(auto u : adj[v]){
dis[u] = min(dis[u],dis[v]+1);
if(vis[u]) continue;
qe.push(u);
}
}
}
int main(){
cin >> n >> m >> q >> k;
ih.resize(q);
f(i,0,q) cin >> ih[i];
f(i,0,m){
ll u,v; cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
multi_bfs();
f(i,1,n+1){
if(dis[i] == 0){
cout << 0 << " ";
continue;
}
ll gr = (dis[i]+k-1)/k;
ll tr = (ll) sqrt(8*gr+1);
if(tr*tr != 8*gr+1) tr++;
cout << (tr>>1) << " ";
}
cout << endl;
return 0;
}
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