#include <cstdio>
#include <stdio.h>
#include <stdbool.h>
#include <iostream>
#include <map>
#include <vector>
#include <climits>
#include <stack>
#include <string>
#include <queue>
#include <algorithm>
#include <set>
#include <unordered_set>
#include <unordered_map>
#include <cmath>
#include <cctype>
#include <bitset>
#include <iomanip>
#include <cstring>
#include <numeric>
#include <cassert>
#include <random>
#include <chrono>
#include <fstream>
using namespace std;
#define int long long
#define pii pair<int, int>
#define mp make_pair
#define pb push_back
#define fi first
#define se second
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, m, q, k, a, b;
cin>>n>>m>>q>>k;
vector<int> dj(n+1, LLONG_MAX/2);
vector<vector<int> > graph(n+1);
queue<int> pq;
while (q--){
cin>>a;
dj[a]=0;
pq.push(a);
}
while (m--){
cin>>a>>b;
graph[a].pb(b);
graph[b].pb(a);
}
while (pq.size()){
int node=pq.front();
pq.pop();
for (auto num:graph[node])if (dj[num]==LLONG_MAX/2)dj[num]=dj[node]+1, pq.push(num);
}
for (int i=1; i<=n; ++i)cout<<(dj[i]+k-1)/k<<" ";
}
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