#line 2 "template.hpp" // #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include <bits/stdc++.h> using namespace std; // https://xn--kst.jp/blog/2019/08/29/cpp-comp/ // debug methods // usage: debug(x,y); // vector 出力できるように修正 template <typename T> ostream& debug_print(ostream& os, const vector<T>& v) { os << "["; for (size_t i = 0; i < v.size(); ++i) { os << v[i]; if (i < v.size() - 1) os << ", "; } os << "]"; return os; } template <typename T> ostream& debug_print(ostream& os, const T& var) { os << var; return os; } #define CHOOSE(a) CHOOSE2 a #define CHOOSE2(a0, a1, a2, a3, a4, x, ...) x #define debug_1(x1) { cout << #x1 << ": "; debug_print(cout, x1) << endl; } #define debug_2(x1, x2) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << endl; } #define debug_3(x1, x2, x3) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << ", " << #x3 << ": "; debug_print(cout, x3) << endl; } #define debug_4(x1, x2, x3, x4) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << ", " << #x3 << ": "; debug_print(cout, x3) << ", " << #x4 << ": "; debug_print(cout, x4) << endl; } #define debug_5(x1, x2, x3, x4, x5) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << ", " << #x3 << ": "; debug_print(cout, x3) << ", " << #x4 << ": "; debug_print(cout, x4) << ", " << #x5 << ": "; debug_print(cout, x5) << endl; } #ifdef LOCAL #define debug(...) CHOOSE((__VA_ARGS__, debug_5, debug_4, debug_3, debug_2, debug_1, ~))(__VA_ARGS__) #else #define debug(...) #endif using ll = long long; using vl = vector<ll>; using Graph = vector<vector<ll>>; using P = pair<ll, ll>; #define all(v) v.begin(), v.end() template <typename T> inline bool chmax(T &a, T b) { return ((a < b) ? (a = b, true) : (false)); } template <typename T> inline bool chmin(T &a, T b) { return ((a > b) ? (a = b, true) : (false)); } #define rep1(i, n) for(ll i = 1; i <= ((ll)n); ++i) // https://trap.jp/post/1224/ template <class... T> constexpr auto min(T... a) { return min(initializer_list<common_type_t<T...>>{a...}); } template <class... T> constexpr auto max(T... a) { return max(initializer_list<common_type_t<T...>>{a...}); } template <class... T> void input(T &...a) { (cin >> ... >> a); } template <class T> void input(vector<T> &a) { for(T &x : a) cin >> x; } void print() { cout << '\n'; } template <class T, class... Ts> void print(const T &a, const Ts &...b) { cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } void print(const string &s) { cout << s << '\n'; } template <class Container, typename = void> struct is_container : std::false_type {}; template <class Container> struct is_container<Container, std::void_t<decltype(std::declval<Container>().begin()), decltype(std::declval<Container>().end())>> : std::true_type {}; template <class Container> typename enable_if<is_container<Container>::value>::type print(const Container& x) { if (!x.empty()) { auto it = x.begin(); for (; it != prev(x.end()); ++it) { cout << *it << " "; } cout << *it << "\n"; // 最後の要素を出力して改行 } } #define INT(...) \ int __VA_ARGS__; \ input(__VA_ARGS__) #define LL(...) \ long long __VA_ARGS__; \ input(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ input(__VA_ARGS__) #define REP1(a) for(ll i = 0; i < a; i++) #define REP2(i, a) for(ll i = 0; i < a; i++) #define REP3(i, a, b) for(ll i = a; i < b; i++) #define REP4(i, a, b, c) for(ll i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__) ll inf = 3e18; vl dx = {1, -1, 0, 0}; vl dy = {0, 0, 1, -1}; #line 2 "/home/y_midori/cp/04_yukicoder/457/e.cpp" // #include <atcoder/all> // using namespace atcoder; // using mint = modint998244353; void solve() { LL(n); Graph abc(n, vl(3)); map<P, vl> edge; vl muki(n, 0); // +1 or +2 rep(i, n) { input(abc[i]); rep(j, 3) rep(k, j + 1, 3) { edge[P(abc[i][j], abc[i][k])].push_back(i); } } auto check = [&](ll i, ll j) -> bool { set<ll> s; rep(k, 3) if(find(all(abc[i]), abc[j][k]) != end(abc[i])) { s.insert(abc[j][k]); } if(s.size() < 2) return true; bool f, g; rep(k, 3) { ll x = abc[i][k], y = abc[i][(k + muki[i]) % 3]; if(s.contains(x) and s.contains(y)) { f = x < y; } } rep(k, 3) { ll x = abc[j][k], y = abc[j][(k + muki[j]) % 3]; if(s.contains(x) and s.contains(y)) { g = x < y; } } return f != g; }; auto cul = [&](ll i, ll j) -> bool { debug(i, j); rep(k, 1, 3) { muki[j] = k; if(check(i, j)) { assert(check(j, i)); return true; } } return false; }; for(auto [key, val] : edge) { if(val.size() >= 3) { print("NO"); return; } } rep(i, n) { // debug(i); if(muki[i]) continue; muki[i] = 1; queue<ll> q; q.push(i); while(q.size()) { ll cur = q.front(); // debug(cur, muki); q.pop(); auto &v = abc[cur]; rep(j, 3) rep(k, j + 1, 3) { for(auto vi : edge[P(v[j], v[k])]) { if(vi == cur) continue; // debug(vi); if(muki[vi]) { if(!check(cur, vi)) { print("NO"); // debug(56); // debug(i, vi, abc[i], abc[vi]); // debug(muki[i], muki[vi]); return; } } else { if(!cul(cur, vi)) { print("NO"); return; } q.push(vi); } } } } } print("YES"); } int main() { ios::sync_with_stdio(false); std::cin.tie(nullptr); cout << std::setprecision(16); int t = 1; rep(_, t) { solve(); } }