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"
using namespace std;
#define pb push_back
#define endl "\n"
#define int long long
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()
void solve(){
int n,m,q,k;
cin >> n >> m >> q >> k;
int dist[n+1];
for(int i=1;i<=n;i++) dist[i]=100000000;
queue<int> que;
for(int i=1;i<=q;i++)
{
int a; cin >> a;
dist[a]=0;
que.push(a);
}
vector<int> v[n+1];
for(int i=1;i<=m;i++)
{
int a,b;
cin >> a >> b;
v[a].pb(b);
v[b].pb(a);
}
while(!que.empty())
{
int c=que.front();
que.pop();
for(int x:v[c])
{
if(dist[c] + 1 < dist[x])
{
dist[x] = dist[c] + 1;
que.push(x);
}
}
}
for(int i=1;i<=n;i++)
{
if(dist[i]==0)
{
cout << 0 << " ";
continue;
}
int ans=1;
int right=k;
while(dist[i]>right)
{
ans++;
right+=ans*k;
}
cout << ans << " ";
}
cout << endl;
}
int32_t main(){
cin.tie(0); ios::sync_with_stdio(0);
int t=1;//cin >> t;
while(t--) solve();
return 0;
}
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