This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// author: erray
#include <bits/stdc++.h>
#ifdef DEBUG
#include "debug.h"
#else
#define debug(...) void(37)
#endif
using namespace std;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int N, M, Q, K;
cin >> N >> M >> Q >> K;
vector<int> S(Q);
for (int i = 0; i < Q; ++i) {
cin >> S[i];
--S[i];
}
vector<vector<int>> g(N);
for (int i = 0; i < M; ++i) {
int X, Y;
cin >> X >> Y;
--X, --Y;
g[X].push_back(Y);
g[Y].push_back(X);
}
vector<int> dist(N, -1);
for (auto x : S) {
dist[x] = 0;
}
for (int it = 0; it < N; ++it) {
int v = S[it];
for (auto u : g[v]) {
if (dist[u] == -1) {
dist[u] = dist[v] + 1;
S.push_back(u);
}
}
}
for (int i = 0; i < N; ++i) {
int low = 0, high = int(1e4);
while (low < high) {
int mid = (low + high) >> 1;
if (mid * (mid + 1) / 2 >= (dist[i] + K - 1) / K) {
high = mid;
} else {
low = mid + 1;
}
}
cout << low << ' ';
}
}
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