#include<bits/stdc++.h>
using namespace std;
#define S second
#define F first
#define ll long long
//#define int long long
//#pragma GCC optimize("Ofast, unroll-loop")
//#pragma GCC target("avx,avx2")
#pragma GCC optimize("O3")
#define init(arr,val) memset(arr,val,sizeof arr)
const int inf=0x3f3f3f3f;
const ll inff=0x3f3f3f3f3f3f3f3f;
const int X=1000000007;
//const int X=998244353;
vector<int> adj[50004];
int x[50004];
int main(){
ios::sync_with_stdio(false), cin.tie(nullptr);
int n, m, k; cin >> n >> m >> k;
for(int i=1 ; i<=m ; i++){
int u, v; cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
string s; cin >> s;
s="."+s;
for(int i=1 ; i<=k ; i++) cin >> x[i];
queue<int> q;
bitset<50004> vis;
q.push(x[1]);
vis[1]=1;
vector<int> d(n+1,inf);
d[x[1]]=0;
while(!q.empty()){
int u=q.front();
q.pop();
for(int v:adj[u]){
if(!vis[v]){
q.push(v);
d[v]=d[u]+1;
vis[v]=1;
}
}
}
for(int i=1 ; i<=n ; i++) cout << d[i] << '\n';
return 0;
}
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