using System; using System.IO; using System.Linq; using System.Text; using System.Diagnostics; using System.Collections.Generic; using System.Text.RegularExpressions; using Enu = System.Linq.Enumerable; class Program { static readonly int[] DX = { 0, 0, 1, 1, 1 }; static readonly int[] DY = { 0, 1, -1, 0, 1 }; void Solve() { int N = reader.Int(); var P = reader.IntGrid(N).Select((a, i) => new Vec(a[0], a[1], i)).ToArray(); var dic = new Dictionary>(); Func Key = (x, y) => (int)(x * 10000 + y); Array.ForEach(P, p => AddDic(dic, Key(p.X / 10, p.Y / 10), p)); var uf = new UnionFind(N); foreach (var a in P) for (int d = 0; d < DX.Length; d++) { long x = a.X / 10 + DX[d], y = a.Y / 10 + DY[d]; if (!dic.ContainsKey(Key(x, y))) continue; foreach (var b in dic[Key(x, y)]) if (a.DistSquare(b) <= 100) uf.Unite(a.Id, b.Id); } var component = new Dictionary>(); for (int i = 0; i < N; i++) if (uf.NumElements(i) > 1) AddDic(component, uf.Root(i), P[i]); double ans = (N > 0) ? 2 : 1; foreach (var list in component.Values.Select(li => ConvexHull(li))) for (int a = 0; a < list.Count; a++) for (int b = a + 1; b < list.Count; b++) ans = Math.Max(ans, list[a].Dist(list[b]) + 2); Console.WriteLine(ans); } List ConvexHull(List Ps) { Ps.Sort(); var res = new List(); for (int i = 0; i < Ps.Count; i++) { while (res.Count > 1 && (res[res.Count - 1] - res[res.Count - 2]).Det(Ps[i] - res[res.Count - 1]) <= 0) res.RemoveAt(res.Count - 1); res.Add(Ps[i]); } for (int i = Ps.Count - 2, t = res.Count; i >= 0; i--) { while (res.Count > t && (res[res.Count - 1] - res[res.Count - 2]).Det(Ps[i] - res[res.Count - 1]) <= 0) res.RemoveAt(res.Count - 1); res.Add(Ps[i]); } return res.GetRange(0, res.Count - 1); } void AddDic(Dictionary> dic, int key, Vec val) { if (!dic.ContainsKey(key)) dic[key] = new List(); dic[key].Add(val); } class Vec : Vector2D { public int Id; public Vec(int x, int y, int i) : base(x, y) { Id = i; } } class Vector2D : IEquatable, IComparable { public long X, Y; public Vector2D(long x, long y) { X = x; Y = y; } public static Vector2D operator +(Vector2D a, Vector2D b) { return new Vector2D(a.X + b.X, a.Y + b.Y); } public static Vector2D operator -(Vector2D a, Vector2D b) { return new Vector2D(a.X - b.X, a.Y - b.Y); } public long DistSquare(Vector2D b) { return (X - b.X) * (X - b.X) + (Y - b.Y) * (Y - b.Y); } public double Dist(Vector2D b) { return Math.Sqrt(DistSquare(b)); } public long InnerProduct(Vector2D b) { return X * b.X + Y * b.Y; } public long Det(Vector2D b) { return X * b.Y - Y * b.X; } public override int GetHashCode() { return (int)(X * 10007 + Y); } public bool Equals(Vector2D b) { return X == b.X && Y == b.Y; } public int CompareTo(Vector2D b) { return X != b.X ? Math.Sign(X - b.X) : Math.Sign(Y - b.Y); } } class UnionFind { private int[] parent; private int[] rank; private int[] numElements; public UnionFind(int N) { parent = new int[N]; rank = new int[N]; numElements = new int[N]; for (int i = 0; i < N; i++) { parent[i] = i; numElements[i] = 1; } } public int Root(int x) { if (parent[x] == x) return x; return parent[x] = Root(parent[x]); } public bool Same(int x, int y) { return Root(x) == Root(y); } public int NumElements(int x) { return numElements[Root(x)]; } public void Unite(int x, int y) { x = Root(x); y = Root(y); if (x == y) return; if (rank[x] < rank[y]) { parent[x] = y; numElements[y] += numElements[x]; } else { parent[y] = x; if (rank[x] == rank[y]) { rank[x]++; } numElements[x] += numElements[y]; } } } Reader reader = new Reader(Console.In); static void Main() { new Program().Solve(); } } class Reader { private readonly TextReader reader; private readonly char[] separator = { ' ' }; private readonly StringSplitOptions removeOp = StringSplitOptions.RemoveEmptyEntries; private string[] A = new string[0]; private int i; public Reader(TextReader r) { reader = r; } public Reader(string file) { reader = new StreamReader(file); } public bool HasNext() { return Enqueue(); } public string String() { return Dequeue(); } public int Int() { return int.Parse(Dequeue()); } public long Long() { return long.Parse(Dequeue()); } public double Double() { return double.Parse(Dequeue()); } public int[] IntLine() { var s = Line(); return s == "" ? new int[0] : Array.ConvertAll(Split(s), int.Parse); } public int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); } public int[][] IntGrid(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); } public string Line() { return reader.ReadLine().Trim(); } private string[] Split(string s) { return s.Split(separator, removeOp); } private bool Enqueue() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return Enqueue(); A = Split(line); i = 0; return true; } private string Dequeue() { Enqueue(); return A[i++]; } }