#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define gcd __gcd
#define sz(v) (int) v.size()
#define pb push_back
#define pi pair<int,int>
#define all(v) (v).begin(), (v).end()
#define compact(v) (v).erase(unique(all(v)), (v).end())
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define REV(i, a, b) for(int i = (a); i >= (b); i--)
#define dbg(x) "[" #x " = " << (x) << "]"
///#define int long long
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template<typename T> bool ckmx(T& a, const T& b){if(a < b) return a = b, true; return false;}
template<typename T> bool ckmn(T& a, const T& b){if(a > b) return a = b, true; return false;}
const int N = 2e5+5;
const ll MOD = 1e9+7;
const ll INF = 1e18;
void solve()
{
int n; cin >> n;
vector<vector<int>> adj(n + 1, vector<int>());
for(int i = 1; i < n; i++){
int u,v; cin >> u >> v;
adj[u].pb(v), adj[v].pb(u);
}
vector<pair<int,int>> answer;
vector<vector<int>> leaf(n + 1, vector<int>());
function<void(int,int)> calc = [&](int x, int p) -> void{
if(sz(adj[x]) == 1) leaf[x].push_back(x);
for(int v : adj[x])if(v != p){
calc(v, x);
if(sz(leaf[x]) < sz(leaf[v])) swap(leaf[x], leaf[v]);
// ?: greedy cover both way from x -> children in subtree
while(sz(leaf[x]) > 1 && sz(leaf[v])){
answer.push_back(make_pair(leaf[v].back(), leaf[x].back()));
leaf[x].pop_back();
leaf[v].pop_back();
}
while(sz(leaf[v])) leaf[x].push_back(leaf[v].back()), leaf[v].pop_back();
}
return;
};
calc(1, -1);
while(sz(leaf[1]) > 1){
int u = leaf[1].back(); leaf[1].pop_back();
int v = leaf[1].back(); leaf[1].pop_back();
answer.push_back(make_pair(u, v));
}
if(sz(leaf[1])){
answer.push_back(make_pair(leaf[1].back(), answer.back().first));
}
cout << sz(answer) << "\n";
for(int i = 0; i < sz(answer); i++){
cout << answer[i].first <<" " << answer[i].second << "\n";
}
return;
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define name "InvMOD"
if(fopen(name".INP", "r")){
freopen(name".INP","r",stdin);
freopen(name".OUT","w",stdout);
}
int t = 1; //cin >> t;
while(t--) solve();
return 0;
}
Compilation message (stderr)
net.cpp: In function 'int main()':
net.cpp:89:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
89 | freopen(name".INP","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
net.cpp:90:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
90 | freopen(name".OUT","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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