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;
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
#define X first
#define Y second
#define pb push_back
#define fastio ios_base::sync_with_stdio(0);cin.tie(nullptr);cout.tie(nullptr);
#define rndom mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())
#define endl '\n'
//#define int ll
const int N = 500 * 1000 + 20, MOD = 1e9+7, base =727;
int n, st[N], low[N], tim;
vector<int>adj[N], leaf;
vector<pii>g[N];
bool mark[N];
void dfs(int v, int p){
if(int(adj[v].size()) == 1)leaf.pb(v);
for(int u : adj[v])if(u!=p)dfs(u,v);
return;
}void check(int v, int e){
st[v] = low[v] = ++tim;
mark[v] = 1;
for(auto p : g[v]){
int u = p.first, i = p.second;
if(!mark[u]){
check(u, i);
low[v] = min(low[u], low[v]);
if(low[u] > st[v])
while(1)tim++;
}
else if(i != e)
low[v] = min(low[v], st[u]);
}
return;
}
int32_t main(){
fastio;
///auto t = clock();
cin >> n;
for(int i = 0; i < n - 1; i ++){
int u, v;
cin >> u >> v;
u --; v --;
adj[u].pb(v); adj[v].pb(u);
g[v].pb({u,i}); g[u].pb({v,i});
}int root = 0;
for(int i = 0; i < n; i ++){if(int(adj[i].size()) >2){root = i;}}
if(int(adj[root].size()<=2)){
cout << 1 << endl;
for(int i =0 ; i < n; i ++)if((int)adj[i].size() == 1)cout << i +1 << ' ';
cout << endl;
return 0;
}
dfs(root,-1);
int k = (int(leaf.size()))/2;
int ans = (int(leaf.size()) + 1)/2;
for(int i = 0; i < ans; i ++){
int u = leaf[i], v = leaf[i+k];
g[v].pb({u,i+n-1}); g[u].pb({v,i+n-1});
}
check(root,-1);
cout << ans << endl;
for(int i = 0; i < ans; i ++){
cout << leaf[i] + 1 << ' ' << leaf[i+k] + 1 << endl;
}
///cout << clock() - t << "ms" << endl;
return 0;
}
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