#include<bits/stdc++.h>
using namespace std;
const int maxn=300000+10;
struct yal{
vector<pair<int,int>>w,dp,link;
int u,v;
int getad(int fu){
int ret=(u^v^fu);
return ret;
}
};
yal alled[maxn];
vector<int>adj[maxn],fake,bal[maxn],khod[maxn];
int fn,n,m,res[maxn],vis[maxn],sz[maxn],azb[maxn],high[maxn],timea,q,par[maxn];
vector<pair<int,pair<int,int>>>fakea;
pair<int,int>stf[maxn];
int kaf=(1<<17);
struct segment{
set<pair<int,int>> seg[(1<<18)];
vector<int>v;
void clear(){
for(auto x:v){
seg[x].clear();
}
v.clear();
}
void upd(int i,int l,int r,int tl,int tr,int av,int dov=-1){
if(l>r||l>tr||r<tl||tl>tr){
return ;
}
if(l>=tl&&r<=tr){
v.push_back(i);
/*if(dov==-1){
if(high[seg[i]]<high[av]){
seg[i]=av;
}
}
else{
if(seg[i]==av){
seg[i]=dov;
}
}*/
if(dov==-1){
seg[i].insert(make_pair(high[av],av));
}
else{
seg[i].erase(make_pair(high[av],av));
}
return ;
}
int m=(l+r)>>1;
upd((i<<1),l,m,tl,tr,av,dov);
upd((i<<1)^1,m+1,r,tl,tr,av,dov);
return ;
}
int pors(int i){
if(i==0){
return 0;
}
int ret=pors((i>>1));
if((int)seg[i].size()>0&&high[ret]<(*seg[i].rbegin()).first){
ret=(*seg[i].rbegin()).second;
}
return ret;
}
}seg;
void dfs(int u,int para=0,int az=0){
fake.push_back(u);
high[u]=high[para]+1;
azb[u]=az;
sz[u]=1;
if(para==0){
high[u]=1;
timea=0;
}
else{
sz[u]+=(int)alled[par[u]].w.size();
}
timea++;
stf[u].first=timea;
for(auto xx:adj[u]){
int x=alled[xx].getad(u);
if(vis[x]==1||x==para){
continue;
}
par[x]=xx;
if(para==0){
bal[x].clear();
dfs(x,u,x);
}
else{
dfs(x,u,az);
}
sz[u]+=sz[x];
}
stf[u].second=timea;
}
int finds(int u,int para=0){
for(auto xx:adj[u]){
int x=alled[xx].getad(u);
if(vis[x]==0&&x!=para&&sz[x]*2>fn){
return finds(x,u);
}
}
return u;
}
bool cmp(pair<int,pair<int,int>> a,pair<int,pair<int,int>>b){
if(a.first!=b.first){
return a.first<b.first;
}
if(a.second.second!=b.second.second){
return a.second.second<b.second.second;
}
if(a.second.second==1){
return high[a.second.first]<high[b.second.first];
}
else{
return high[a.second.first]>high[b.second.first];
}
}
void solve(int u){
dfs(u);
fake.clear();
fn=sz[u];
int v=finds(u);
fake.clear();
dfs(v);
seg.clear();
fakea.clear();
for(auto x:fake){
if(x==v){
continue;
}
alled[par[x]].link.clear();
for(auto y:alled[par[x]].w){
fakea.push_back(make_pair(y.first,make_pair(x,1)));
fakea.push_back(make_pair(y.second,make_pair(x,2)));
}
}
sort(fakea.begin(),fakea.end(),cmp);
for(auto x:fake){
seg.upd(1,0,kaf-1,stf[x].first+1,stf[x].second,x);
}
for(int i=0;i<(int)fakea.size();i++){
int p=seg.pors(kaf+stf[fakea[i].second.first].first);
if(fakea[i].second.second==1){
alled[par[fakea[i].second.first]].link.push_back(make_pair(p,v));
int ba=p;
seg.upd(1,0,kaf-1,stf[fakea[i].second.first].first+1,stf[fakea[i].second.first].second,fakea[i].second.first,ba);
}
else{
alled[par[fakea[i].second.first]].link.back().second=p;
seg.upd(1,0,kaf-1,stf[fakea[i].second.first].first+1,stf[fakea[i].second.first].second,fakea[i].second.first);
}
}
for(auto x:fake){
if(x==v){
khod[v].push_back(0);
continue;
}
for(int i=0;i<(int)alled[par[x]].w.size();i++){
int linky1=alled[par[x]].link[i].first;
int p=lower_bound(alled[par[linky1]].w.begin(),alled[par[linky1]].w.end(),make_pair(alled[par[x]].w[i].first,-1))-alled[par[linky1]].w.begin();
if(linky1==v){
alled[par[x]].dp[i].first=alled[par[x]].w[i].first;
}
else if(p==alled[par[linky1]].w.size()){
alled[par[x]].dp[i].first=m+10;
}
else{
alled[par[x]].dp[i].first=alled[par[linky1]].dp[p].first;
}
int linky2=alled[par[x]].link[i].second;
p=lower_bound(alled[par[linky2]].w.begin(),alled[par[linky2]].w.end(),make_pair(alled[par[x]].w[i].second,-1))-alled[par[linky2]].w.begin();
p--;
if(linky2==v){
alled[par[x]].dp[i].second=alled[par[x]].w[i].second;
}
else if(p<0){
alled[par[x]].dp[i].second=-1;
}
else{
alled[par[x]].dp[i].second=alled[par[linky2]].dp[p].second;
}
}
if(alled[par[x]].w.size()==0){
continue;
}
int ff=alled[par[x]].dp[0].first;
if(ff>m+2){
continue;
}
khod[v].push_back(ff);
bal[azb[x]].push_back(ff);
}
sort(khod[v].begin(),khod[v].end());
for(auto xx:adj[v]){
int x=alled[xx].getad(v);
if(vis[x]==0){
sort(bal[x].begin(),bal[x].end());
}
}
for(auto x:fake){
if(x==v){
res[x]+=khod[v].size();
continue;
}
if((int)alled[par[x]].w.size()==0){
continue;
}
int ff=alled[par[x]].dp.back().second;
int p=upper_bound(khod[v].begin(),khod[v].end(),ff)-khod[v].begin();
p--;
res[x]+=p+1;
p=upper_bound(bal[azb[x]].begin(),bal[azb[x]].end(),ff)-bal[azb[x]].begin();
p--;
res[x]-=p+1;
}
vis[v]=1;
for(auto xx:adj[v]){
int x=alled[xx].getad(v);
if(vis[x]==0){
solve(x);
}
}
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
// freopen("inp.txt","r",stdin);
// freopen("out.txt","w",stdout);
cin>>n>>m>>q;
for(int i=1;i<=n-1;i++){
cin>>alled[i].u>>alled[i].v;
adj[alled[i].u].push_back(i);
adj[alled[i].v].push_back(i);
}
for(int i=1;i<=m;i++){
int u;
cin>>u;
if((int)alled[u].w.size()==0||alled[u].w.back().second!=-1){
alled[u].w.push_back(make_pair(i,-1));
}
else{
alled[u].w.back().second=i;
}
}
for(int i=1;i<n;i++){
if((int)alled[i].w.size()>0&&alled[i].w.back().second==-1){
alled[i].w.back().second=m+1;
}
alled[i].dp.resize((int)alled[i].w.size());
}
solve(1);
for(int i=0;i<q;i++){
int u;
cin>>u;
cout<<res[u]<<"\n";
}
}
