#nullable enable using System.Numerics; void Run() => Out(Solve() ? "YES" : "NO"); bool Solve() { var m = Int(); var tz = m.Repeat(() => (Int(), Int(), Int())); if (tz.Distinct().Count() < m) return false; var mz = new Dictionary<(int, int), HashSet<int>>(); for (var i = 0; i < m; i++) { var (a, b, c) = tz[i]; var pz = new[]{ (a, b), (b, c), (a, c) }; foreach (var p in pz) { if (!mz.ContainsKey(p)) mz[p] = new(); var h = mz[p]; if (h.Count == 2) return false; h.Add(i); } } var ez = new HashSet<(int, int)>(); foreach (var (u, v) in mz.Keys) { ez.Add((u, v)); ez.Add((v, u)); } var dz = new int[m]; var q = new Queue<int>(); for (var si = 0; si < m; si++) { if (dz[si] >= 1) continue; q.Enqueue(si); dz[si] = 1; while (q.Count > 0) { var i = q.Dequeue(); var (a, b, c) = tz[i]; if (!ez.Contains((a, b)) || !ez.Contains((b, c)) || !ez.Contains((c, a))) (b, c) = (c, b); if (!ez.Contains((a, b)) || !ez.Contains((b, c)) || !ez.Contains((c, a))) return false; dz[i]++; var pz = new[] { (a, b), (b, c), (c, a) }; foreach (var (ou, ov) in pz) { var (u, v) = (ou, ov); ez.Remove((u, v)); if (u > v) (u, v) = (v, u); foreach (var j in mz[(u, v)]) if (dz[j] == 0) { q.Enqueue(j); dz[j]++; } } } } return true; } #region AtCoderIO _io_; var _backend_ = new StandardIOBackend(); _io_ = new(){ Backend = _backend_ }; Run(); _backend_.Flush(); string String() => _io_.Next(); int Int() => int.Parse(String()); void Out(object? x, string? sep = null) => _io_.Out(x, sep); class AtCoderIO { public required StandardIOBackend Backend { get; init; } Memory<string> _input = Array.Empty<string>(); int _iter = 0; public string Next() { while (_iter >= _input.Length) (_input, _iter) = (Backend.ReadLine().Split(' '), 0); return _input.Span[_iter++]; } public void Out(object? x, string? separator = null) { if (x == null) return; separator ??= Environment.NewLine; if (x is System.Collections.IEnumerable a and not string) { var objects = a.Cast<object>(); if (separator == Environment.NewLine && !objects.Any()) return; x = string.Join(separator, objects); } Backend.WriteLine(x); } } class StandardIOBackend { readonly StreamReader _sr = new(Console.OpenStandardInput()); readonly StreamWriter _sw = new(Console.OpenStandardOutput()) { AutoFlush = false }; public string ReadLine() => _sr.ReadLine()!; public void WriteLine(object? value) => _sw.WriteLine(value); public void Flush() => _sw.Flush(); } #endregion static class Extensions { public static T[] Repeat<T>(this int time, Func<T> F) => Enumerable.Range(0, time).Select(_ => F()).ToArray(); }