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>
#include <time.h>
//#include <random>
//#ifndef _LOCAL
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#endif
#define sz(x) int(x.size())
#define in(x) freopen(x, "r", stdin)
#define out(x) freopen(x, "w", stdout)
#define N 2 * 100500
#define oo ll(1e16)
#define pii pair <int, int>
#define pll pair <ll, ll>
#define ft first
#define sd second
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define el '\n'
#define elf endl
#define base ll(1e9 + 7)
#define re return
#define nins 4294967295
using namespace std;
typedef long long ll;
typedef long double ld;
//mt19937 rnd(0);
ll n, m, Q, k, dist[N], rs[N];
vector <ll> g[N];
queue <ll> q;
void solve() {
    cin >> n >> m >> Q >> k;
    for (int i = 0; i < n; i++)
        dist[i] = -1;
    for (int i = 0; i < Q; i++) {
        int v; cin >> v; v--;
        dist[v] = 0;
        q.push(v);
    }
    for (int i = 0; i < m; i++) {
        int v, u; cin >> v >> u; v--; u--;
        g[v].pb(u);
        g[u].pb(v);
    }
    while (!q.empty()) {
        int v = q.front();
        q.pop();
        for (int i = 0; i < sz(g[v]); i++) {
            int nxt = g[v][i];
            if (dist[nxt] != -1) continue;
            dist[nxt] = dist[v] + 1;
            q.push(nxt);
        }
    }
    ll cr = 1, i = 1;
    while (cr < n) {
        for (int j = cr; j < cr + i * k; j++)
            if (j < n)
                rs[j] = i;
        cr += i * k;
        i++;
    }
    for (int i = 0; i < n; i++)
        cout << rs[dist[i]] << ' ';
}
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    #ifdef _LOCAL
        in("input.txt");
        int t = 1;
//        cin >> t;
        for (int i = 1; i <= t; i++) {
            cout << "Test #" << i << elf;
            clock_t start_time = clock();
            solve();
            cerr.precision(4); cerr << fixed;
            cerr << elf;
            cerr << "Time :: " << ld(clock() - start_time) / CLOCKS_PER_SEC << elf;
            cout << elf;
        }
    #else
        int t = 1;
//        cin >> t;
        while (t--) {
            solve();
            cout << el;
        }
    #endif
}
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