#include <bits/stdc++.h>
#define fast cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(false)
#define pb push_back
#define ppb pop_back
#define fi first
#define se second
#define sp " "
#define endl "\n"
#define mod 1000000000
#define MAXN 200005
#define MAXM 1000006
#define inf 1e18
#define INF 0x3f
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define debug(x) for(auto& a: x) cout << a << " "
using namespace std;
typedef long long int lo;
lo n,m,p,q,k,l,a,b;
lo arr[MAXN],vis[MAXN],when[MAXN];
vector<lo> v[MAXN];
string s;
bool check(lo mid, lo i){
return when[mid] >= arr[i];
}
void solve(){
cin >> n >> m >> p >> k;
when[1] = k;
for (int i = 2; i <= n; ++i)
{
when[i] = when[i-1] + i*k;
// cout << when[i] << endl;
}
queue<pair<lo,lo>> q;
for (int i = 0; i < p; ++i)
{
cin >> a;
q.push({0,a});
}
for (int i = 0; i < m; ++i)
{
cin >> a >> b;
v[a].pb(b);
v[b].pb(a);
}
while(!q.empty()){
lo node = q.front().se;
lo cost = q.front().fi;
q.pop();
if(vis[node])
continue;
arr[node] = cost;
vis[node] = 1;
for(auto go: v[node]){
if(!vis[go])
q.push({cost+1,go});
}
}
for (int i = 1; i <= n; ++i)
{
lo bas = 0;
lo son = n;
while(bas <= son){
lo mid = (bas+son)/2;
if(check(mid,i)){
son = mid-1;
}
else{
bas = mid+1;
}
}
cout << bas << sp;
}
}
int main()
{
// cout << fixed << setprecision(12);
// freopen("feast.in","r",stdin);
// freopen("feast.out","w",stdout);
fast;
int t = 1;
// cin >> t;
while(t--)
{
solve();
}
}
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