using System; using System.Linq; using System.Diagnostics; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; using Point = System.Numerics.Complex; namespace Program { public class Solver { public void Solve() { var n = sc.Integer(); if (n == 0) { IO.Printer.Out.WriteLine(1); return; } const int D = 10000; var bucket = new List[20050 / 10, 20050 / 10]; for (int i = 0; i < 2005; i++) for (int j = 0; j < 2005; j++) bucket[i, j] = new List(); var X = new int[n]; var Y = new int[n]; for (int i = 0; i < n; i++) { var x = X[i] = sc.Integer() + D; var y = Y[i] = sc.Integer() + D; bucket[x / 10, y / 10].Add(i); } var set = new DisjointSet(n); int[] d = { -1, 0, 1 }; for (int i = 0; i < n; i++) { var px = X[i] / 10; var py = Y[i] / 10; for (int j = 0; j < 3; j++) for (int k = 0; k < 3; k++) { if (px + d[j] < 0 || py + d[k] < 0) continue; foreach (var p in bucket[px + d[j], py + d[k]]) { var dx = X[p] - X[i]; var dy = Y[p] - Y[i]; if (dx * dx + dy * dy <= 100) set.Unite(i, p); } } } var max = 2.0; var Ps = Enumerate(n, x => new List()); for (int i = 0; i < n; i++) Ps[set[i]].Add(new Point(X[i], Y[i])); for (int i = 0; i < n; i++) { if (set[i] != i) continue; var conv = Geometry.ConvexHull(Ps[i]); for (int j = 0; j < conv.Length; j++) for (int k = j + 1; k < conv.Length; k++) { var dx = conv[j].Real - conv[k].Real; var dy = conv[j].Imaginary - conv[k].Imaginary; max = Math.Max(max, Math.Sqrt(dx * dx + dy * dy) + 2); } } IO.Printer.Out.WriteLine(max); } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region main static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, T[] source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, T[] source) { base.WriteLine(format, source.OfType().ToArray()); } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n'; b = (char)read()) if (b == 0) break; else if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } #endregion #region DisjointSet public class DisjointSet { int[] par, ranks, count; public DisjointSet(int n) { par = new int[n]; count = new int[n]; for (int i = 0; i < n; i++) { par[i] = i; count[i] = 1; } ranks = new int[n]; } public int this[int id] { get { return (par[id] == id) ? id : this[par[id]]; } } public bool Unite(int x, int y) { x = this[x]; y = this[y]; if (x == y) return false; if (ranks[x] < ranks[y]) { par[x] = y; count[y] += count[x]; } else { par[y] = x; count[x] += count[y]; if (ranks[x] == ranks[y]) ranks[x]++; } return true; } public int Size(int x) { return count[this[x]]; } public bool IsUnited(int x, int y) { return this[x] == this[y]; } } #endregion #region Functions static public partial class Geometry { public const double EPS = 1e-8; static public double Cross(Point a, Point b) { return (Point.Conjugate(a) * b).Imaginary; } static public double Dot(Point a, Point b) { return (Point.Conjugate(a) * b).Real; } static public int CCW(Point a, Point b, Point c) { b -= a; c -= a; if (Cross(b, c) > 0) return 1; if (Cross(b, c) < 0) return -1; if (Dot(b, c) < 0) return 2; if (b.Magnitude < c.Magnitude) return -2; return 0; } static public int Compare(Point a, Point b) { if (a.Real != b.Real) return (a.Real > b.Real) ? 1 : -1; else if (a.Imaginary != b.Imaginary) return a.Imaginary > b.Imaginary ? 1 : -1; return 0; } } #endregion #region ConvexHull static public partial class Geometry { static public Point[] ConvexHull(List ps) { var n = ps.Count; ps.Sort((l, r) => { var cmp = l.Real.CompareTo(r.Real); return cmp != 0 ? cmp : l.Imaginary.CompareTo(r.Imaginary); }); var ch = new Point[2 * n]; var k = 0; for (int i = 0; i < n; ch[k++] = ps[i++]) while (k >= 2 && Geometry.CCW(ch[k - 2], ch[k - 1], ps[i]) <= 0) --k; for (int i = n - 2, t = k + 1; i >= 0; ch[k++] = ps[i--]) while (k >= t && Geometry.CCW(ch[k - 2], ch[k - 1], ps[i]) <= 0) --k; var ret = new Point[k - 1]; for (int i = 0; i < k - 1; i++) ret[i] = ch[i]; return ret; } } #endregion