이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#ifndef LOCAL
#pragma GCC optimize ("O3")
#endif
#include <bits/stdc++.h>
using namespace std;
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return {i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
*this << "[";
for (c it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(x...) " [" #x ": " << (x) << "] "
using ld = long double;
using ll = long long;
constexpr int mod = 1000 * 1000 * 1000 + 7;
constexpr int odw2 = (mod + 1) / 2;
void OdejmijOd(int& a, int b) { a -= b; if (a < 0) a += mod; }
int Odejmij(int a, int b) { OdejmijOd(a, b); return a; }
void DodajDo(int& a, int b) { a += b; if (a >= mod) a -= mod; }
int Dodaj(int a, int b) { DodajDo(a, b); return a; }
int Mnoz(int a, int b) { return (ll) a * b % mod; }
void MnozDo(int& a, int b) { a = Mnoz(a, b); }
int Pot(int a, int b) { int res = 1; while (b) { if (b % 2 == 1) MnozDo(res, a); a = Mnoz(a, a); b /= 2; } return res; }
int Odw(int a) { return Pot(a, mod - 2); }
void PodzielDo(int& a, int b) { MnozDo(a, Odw(b)); }
int Podziel(int a, int b) { return Mnoz(a, Odw(b)); }
int Moduluj(ll x) { x %= mod; if (x < 0) x += mod; return x; }
template <typename T> T Maxi(T& a, T b) { return a = max(a, b); }
template <typename T> T Mini(T& a, T b) { return a = min(a, b); }
constexpr int nax = 500 * 1000 + 105;
int n;
set<int> graf[nax];
vector<pair<int, int>> wynik;
int Daj(int x, int oprocz) {
assert(!graf[x].empty());
if (graf[x].find(oprocz) == graf[x].end()) {
if ((int) graf[x].size() >= 2) return -1;
return *graf[x].begin();
}
if ((int) graf[x].size() >= 3) return -1;
for (int y : graf[x]) {
if (y != oprocz) {
return y;
}
}
assert(false);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i = 1; i < n; i++) {
int a, b;
cin >> a >> b;
graf[a].insert(b);
graf[b].insert(a);
}
set<int> liscie;
for (int i = 1; i <= n; i++) {
if ((int) graf[i].size() == 1) {
liscie.insert(i);
}
}
debug() << imie(liscie);
while (true) {
assert((int) liscie.size() >= 2);
const int a = *liscie.begin();
liscie.erase(liscie.begin());
const int b = *liscie.begin();
liscie.erase(*liscie.begin());
if ((int) liscie.size() <= 1) {
wynik.emplace_back(a, b);
liscie.insert(b);
if ((int) liscie.size() < 2) break;
continue;
}
const int c = *liscie.begin();
liscie.erase(liscie.begin());
int s[3] = {a, b, c};
int w[3] = {a, b, c};
int p[3] = {-1, -1, -1};
while (true) {
int daj[3];
for (int i = 0; i < 3; i++) {
daj[i] = Daj(w[i], p[i]);
}
debug() << imie(range(s, s + 3));
debug() << imie(range(w, w + 3));
debug() << imie(range(p, p + 3));
debug() << imie(range(daj, daj + 3));
for (int i = 0; i < 3; i++) {
for (int j = i + 1; j < 3; j++) {
if (daj[i] == -1 and daj[j] == -1) {
if (w[i] != w[j] or (int) graf[w[i]].size() >= 4) {
debug() << imie("JEST");
wynik.emplace_back(s[i], s[j]);
liscie.insert(s[3 ^ i ^ j]);
graf[w[i]].erase(p[i]);
graf[w[j]].erase(p[j]);
goto out;
}
}
}
}
for (int i = 0; i < 3; i++) {
if (daj[i] != -1) {
p[i] = w[i];
w[i] = daj[i];
}
}
}
out:;
}
printf("%d\n", (int) wynik.size());
for (auto& it : wynik) {
printf("%d %d\n", it.first, it.second);
}
return 0;
}
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