#include<bits/stdc++.h>
using namespace std;
#define endl '\n'
vector<int> dijik(int n,vector<vector<int>> &graph,vector<int> &init){
vector<int> bst(n+1);
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> pq;
for(int i=1;i<=n;i++){
pq.push({init[i],i});
bst[i]=init[i];
}
while(!pq.empty()){
int u=pq.top().second,dist=pq.top().first;
pq.pop();
if(dist>bst[u]){
continue;
}
for(int v:graph[u]){
if(bst[v]>dist+1){
bst[v]=dist+1;
pq.push({bst[v],v});
}
}
}
return bst;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n,m,k;
cin >> n >> m >> k;
vector<vector<int>> graph(n+1);
for(int i=0;i<m;i++){
int u,v;
cin >> u >> v;
graph[u].push_back(v);
graph[v].push_back(u);
}
string s;
cin >> s;
int x[k];
vector<int> init(n+1);
for(int i=1;i<=n;i++){
init[i]=1e9;
}
for(int i=0;i<k;i++){
cin >> x[i];
}
init[x[0]]=0;
vector<int> bst=dijik(n,graph,init);
for(int i=1;i<=n;i++){
cout << bst[i] << endl;
}
}
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