This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>
using namespace std;
#define nl '\n'
#define pb push_back
#define pf push_front
#define mp make_pair
#define f first
#define s second
#define sz(x) int(x.size())
template<class T> using V = vector<T>;
using pi = pair<int, int>;
using vi = V<int>;
using vpi = V<pi>;
using ll = long long;
using pl = pair<ll, ll>;
using vpl = V<pl>;
using vl = V<ll>;
using db = long double;
template<class T> using pq = priority_queue<T, V<T>, greater<T>>;
const int MOD = 1e9 + 7;
const ll INFL = ll(1e17);
const int LG = 18;
int main() {
cin.tie(0)->sync_with_stdio(0);
int N; cin >> N;
vi deg(N);
V<vi> adj(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);
deg[u]++, deg[v]++;
}
int R = -1; for(int i = 0; i < N; i++) if (deg[i] > 1) R = i;
vpi ans;
function<vi(int, int)> dfs = [&](int u, int p) {
bool leaf = 1;
V<vi> R;
for(auto& v : adj[u]) if (v != p) {
leaf = 0;
vi r = dfs(v, u); R.pb(r);
}
if (leaf) return vi{u};
sort(begin(R), end(R), [&](const auto& x, const auto& y) {
return sz(x) < sz(y);
});
// cout << u << endl;
vi A, B;
for(auto r : R) {
if (sz(r) > 0) {
A.pb(r[0]);
// cout << "A " << r[0] << endl;
}
if (sz(r) > 1) {
B.pb(r[1]);
// cout << "B " << r[1] << endl;
}
}
// cout << endl;
int amt = sz(A) + sz(B);
vi r;
if (amt % 2) { r.pb(A.back()); A.pop_back(); }
else {
r.pb(A.back()); A.pop_back();
r.pb(A.back()); A.pop_back();
}
reverse(begin(A), end(A));
reverse(begin(B), end(B));
assert((sz(A) + sz(B)) % 2 == 0);
if (sz(A) % 2) {
B.pb(A.back()); A.pop_back();
}
for(int i = 0; i < sz(A); i += 2) ans.pb(mp(A[i], A[i+1]));
for(int i = 0; i < sz(B); i += 2) ans.pb(mp(B[i], B[i+1]));
return r;
};
vi r = dfs(R, -1);
if (sz(r) == 1) ans.pb(mp(r[0], R));
else ans.pb(mp(r[0], r[1]));
assert(sz(ans) > 0);
cout << sz(ans) << nl;
for(auto e : ans) cout << e.f + 1 << " " << e.s + 1 << nl;
exit(0-0);
}
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