#include<bits/stdc++.h>
using namespace std;
#define endl '\n'
vector<vector<long long>> DP;
vector<vector<int>> graph;
string s;
void dijik(int n,int cnt,vector<int> &source){
DP.clear();
DP.resize(n+1);
for(int i=1;i<=n;i++){
DP[i].clear();
DP[i].resize(cnt+1);
}
for(int i=1;i<=n;i++){
for(int j=0;j<=cnt;j++){
DP[i][j]=1e18;
}
}
priority_queue<pair<long long,pair<int,int>>,vector<pair<long long,pair<int,int>>>,greater<pair<long long,pair<int,int>>>> pq;
for(int i=0;i<source.size();i++){
DP[source[i]][0]=0;
pq.push({0,{source[i],0}});
}
while(!pq.empty()){
long long dist=pq.top().first;
int u=pq.top().second.first,c=pq.top().second.second;
pq.pop();
if(dist>DP[u][c]){
continue;
}
for(int v:graph[u]){
if(s[v]=='0'){
if(DP[v][c]>dist+1){
DP[v][c]=dist+1;
pq.push({DP[v][c],{v,c}});
}
}
else if(s[v]=='1'&&c<cnt){
if(DP[v][c+1]>dist+1){
DP[v][c+1]=dist+1;
pq.push({DP[v][c+1],{v,c+1}});
}
}
}
}
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n,m,k;
cin >> n >> m >> k;
graph.clear();
graph.resize(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);
}
cin >> s;
s='#'+s;
int x[k];
vector<int> source;
int cnt=0;
for(int i=1;i<=n;i++){
if(s[i]=='1'){
cnt++;
source.push_back(i);
}
}
int dist[n+1];
dijik(n,1,source);
for(int i=1;i<=n;i++){
dist[i]=DP[i][(s[i]=='1')];
}
long long tot[n+1]={0};
tot[0]=0;
source.clear();
source.resize(0);
for(int i=1;i<=n;i++){
if(s[i]=='1'){
for(int v:graph[i]){
if(s[v]=='1'){
source.push_back(i);
break;
}
}
}
}
dijik(n,cnt,source);
for(int i=0;i<k;i++){
cin >> x[i];
if(i==0){
continue;
}
long long cost[cnt+1];
for(int j=0;j<=cnt;j++){
cost[j]=1e18;
}
cost[0]=0;
for(int j=1;j<=cnt;j++){
cost[j]=min(cost[j],DP[x[i]][j-1+(s[x[i]]=='1')]);
if(j>1){
cost[j]=min(cost[j],cost[j-1]+1);
}
}
for(int j=1;j<=cnt;j++){
cost[j]=min(cost[j],1LL*dist[x[i]]+2*(j-1));
tot[j]+=cost[j];
}
}
source.clear();
source.resize(0);
source.push_back(x[0]);
dijik(n,cnt,source);
long long ans[n+1];
for(int u=1;u<=n;u++){
ans[u]=1e18;
if(u==x[0]){
ans[u]=0;
}
else{
for(int j=0;j+(s[u]=='1')<=cnt;j++){
ans[u]=min(ans[u],DP[u][j+(s[u]=='1')]+tot[j]);
}
}
cout << ans[u] << endl;
}
}
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