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/*
COCI 20 Birmingham
- Basically just do a BFS and binary search for the day
*/
#include <bits/stdc++.h>
#define FOR(i, x, y) for (ll i = x; i < y; i++)
typedef long long ll;
using namespace std;
vector<ll> graph[100001];
ll visited[100001];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
ll n, m, p, k;
cin >> n >> m >> p >> k;
queue<ll> q;
FOR(i, 0, p) {
ll x;
cin >> x;
visited[x] = 1;
q.push(x);
}
FOR(i, 0, m) {
ll x, y;
cin >> x >> y;
graph[x].push_back(y);
graph[y].push_back(x);
}
while (q.size()) {
ll curr = q.front();
q.pop();
for (ll i : graph[curr]) if (!visited[i]) {
visited[i] = visited[curr] + 1;
q.push(i);
}
}
FOR(i, 1, n + 1) {
visited[i]--;
ll l = 0, r = n;
while (l != r) {
ll mid = (l + r) / 2;
if (visited[i] > k * mid * (mid + 1) / 2) l = mid + 1;
else r = mid;
}
cout << l << ' ';
}
return 0;
}
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