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;
const int nx=3e5+5, kx=19;
int n, m, x, t[nx], dp[nx], cnt, ans[nx], used[nx];
vector<int> vl[nx];
vector<pair<int, int>> ed(nx), d[nx];
void dfs(int u, int p, int idx)
{
for (auto [v, w]:d[u]) if (v!=p) dfs(v, u, w), dp[u]=min(dp[u], dp[v]);
if (idx!=-1&&dp[u]<idx) used[idx]=1, vl[dp[u]].push_back(idx);
}
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n>>m;
for (int i=1; i<=m; i++) cin>>ed[i].first>>ed[i].second;
for (int i=1; i<=n; i++) dp[i]=INT_MAX;
for (int i=1; i<n; i++) cin>>x, t[x]=1, d[ed[x].first].push_back({ed[x].second, x}), d[ed[x].second].push_back({ed[x].first, x});
for (int i=m; i>=1; i--) if (!t[i]) dp[ed[i].first]=dp[ed[i].second]=i;
dfs(1, 1, -1);
for (int i=1; i<=m; i++)
{
if (t[i]&&!used[i]) ans[i]=++cnt;
else if (!t[i])
{
sort(vl[i].begin(), vl[i].end());
for (auto tmp:vl[i]) ans[tmp]=++cnt;
ans[i]=++cnt;
}
//cout<<"val "<<i<<':';
//for (int j=1; j<=m; j++) cout<<ans[j]<<' ';
//cout<<'\n';
}
for (int i=1; i<=m; i++) cout<<ans[i]<<' ';
}
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