This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
int n,e,a[300001],b[300001],r,mst[300001],p[300001],d[300001],l[300001],id,res[300001];
vector <int> ke[300001],ve;
int f(int i){
return (l[i]==i?i:l[i]=f(l[i]));
}
void unite(int i, int j){
l[f(j)]=f(i);
}
void dfs(int u, int par){
for (int i:ke[u]){
int v=a[i]^b[i]^u;
if (v!=par){
p[v]=i;
d[v]=d[u]+1;
dfs(v,u);
}
}
}
void walk(int u, int v){
ve.clear();
while (true){
u=f(u);
v=f(v);
if (u==v)
break;
if (d[u]<d[v])
swap(u,v);
int i=p[u];
unite(a[i]^b[i]^u,u);
ve.push_back(i);
}
sort(ve.begin(),ve.end());
for (int i:ve)
res[i]=++id;
}
int main(){
ios_base::sync_with_stdio(NULL);cin.tie(nullptr);
cin >> n >> e;
for (int i=1;i<=e;i++)
cin >> a[i] >> b[i];
for (int i=1;i<n;i++){
cin >> r;
mst[r]=1;
ke[a[r]].push_back(r);
ke[b[r]].push_back(r);
}
iota(l,l+n+1,0);
dfs(1,1);
for (int i=1;i<=e;i++){
if (!res[i]){
walk(a[i],b[i]);
if (!res[i])
res[i]=++id;
}
cout << res[i] << ' ';
}
}
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