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 MAXN 100003
using namespace std;
int n, m, t, k;
vector <int> adj[MAXN];
int dist[MAXN];
queue <int> q;
void input()
{
    cin >> n >> m >> t >> k;
    for (int i = 0; i <= n; ++i)
        dist[i] = -1;
    for (int i = 0; i < t; ++i)
    {
        int x;
        cin >> x;
        dist[x] = 0;
        q.push(x);
    }
    for (int i = 0; i < m; ++i)
    {
        int u, v;
        cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
}
void bfs()
{
    while (!q.empty())
    {
        int tmp = q.front();
        q.pop();
        for (auto nb: adj[tmp])
        {
            if (dist[nb] == -1 || dist[nb] > dist[tmp] + 1)
            {
                dist[nb] = dist[tmp] + 1;
                q.push(nb);
            }
        }
    }
}
int get_ans(int x)
{
    if (x == 0)
        return 0;
    if (x <= k)
        return 1;
    int d = k;
    for (int i = 2; ; ++i)
    {
        d += i * k;
        if (d >= x)
            return i;
    }
}
void solve()
{
    bfs();
    
    cout << get_ans(dist[1]);
    for (int i = 2; i <= n; ++i)
    {
        cout << " " << get_ans(dist[i]);// << dist[i] << endl;
    }
    cout << endl;
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    input();
    solve();
    return 0;
}
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