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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