import java.util.Scanner import scala.collection.Searching._ import scala.annotation.tailrec import scala.collection.mutable import scala.collection.immutable._ import scala.io.StdIn.readLine class IUnionFind(val size: Int) { private case class Node(var parent: Option[Int], var treeSize: Int) private val nodes = Array.fill[Node](size)(new Node(None, 1)) def union(t1: Int, t2: Int): IUnionFind = { if (t1 == t2) return this val root1 = root(t1) val root2 = root(t2) if (root1 == root2) return this val node1 = nodes(root1) val node2 = nodes(root2) if (node1.treeSize < node2.treeSize) { node1.parent = Some(t2) node2.treeSize += node1.treeSize } else { node2.parent = Some(t1) node1.treeSize += node2.treeSize } this } def connected(t1: Int, t2: Int): Boolean = t1 == t2 || root(t1) == root(t2) def root(t: Int): Int = nodes(t).parent match { case None => t case Some(p) => root(p) } } object Main { def solve(sc: => Scanner): Unit = { val N = sc.nextInt if (N == 0) (println(1)) else { val uf = new IUnionFind(N) val A = Array.fill(N)((sc.nextInt, sc.nextInt)).zipWithIndex for (i <- A) { for (j <- A) { if ((i._1._1 - j._1._1) * (i._1._1 - j._1._1) + (i._1._2 - j._1._2) * (i._1._2 - j._1._2) <= 100) { uf.union(i._2, j._2) } } } var ans = 0.0 for (i <- A) { for (j <- A) { if (uf.connected(i._2, j._2)) { ans = math.max(ans, math.sqrt((i._1._1 - j._1._1) * (i._1._1 - j._1._1) + (i._1._2 - j._1._2) * (i._1._2 - j._1._2))) } } } println((ans + 2.0).formatted("%.20f")) } } def show(i: Int, j: Int, N: Int): String = { return (recursive(i, j, N) + 1).formatted("%03d") } def recursive(i: Int, j: Int, N: Int): Int = { if (i == 0) { j } else if (i == N - 1) { (N - 1) * 3 - j } else if (j == 0) { (N - 1) * 4 - i } else if (j == N - 1) { N + i - 1 } else { recursive(i - 1, j - 1, N - 2) + (N - 1) * 4 } } def recursive2(N: Long): String = { if (N == 0) ("") else (('a'.toInt + (N % 26)).toChar + recursive2(N / 26)) } def check(A: Array[List[Int]]): Boolean = { A.map(_.size == 0).fold(true)((a, b) => a & b) } def shift(n: Long): Long = { if (n == 0) (0) else if (n == 1) (1) else (shift(n - 1) << 1) } def unShift(n: Long): Long = { if (n == 0) (0) else (unShift(n >> 1) + 1) } def gcd(i: Long, j: Long): Long = { if (i < j) (gcd(j, i)) else (if (j == 0) (i) else (gcd(j, i % j))) } def main(args: Array[String]): Unit = { val sc: Scanner = new Scanner(System.in) solve(sc) } } object Util { def getPermutation(begin: Long = 0): Stream[Long] = Stream.cons(begin, getPermutation(begin + 1)) def getPrimeList(): Stream[Long] = getPrimeListRecursive(getPermutation(begin = 2)) private def getPrimeListRecursive(A: Stream[Long]): Stream[Long] = Stream.cons(A.head, getPrimeListRecursive(A.tail.filter(_ % A.head != 0))) def fib(a: Long = 0, b: Long = 1, mod: Long = Long.MaxValue): Stream[Long] = a #:: fib(b % mod, (a + b) % mod, mod) } object ArabicRoman { type =?>[A, B] = PartialFunction[A, B] val codeTable = List( (1000, "M"), (900, "CM"), (500, "D"), (400, "CD"), (100, "C"), (90, "XC"), (50, "L"), (40, "XL"), (10, "X"), (9, "IX"), (5, "V"), (4, "IV"), (1, "I")) val arabicToRoman: (Int) =?> String = { case src if (src >= 1 && src <= 3999) => { def convert(left: Int, cont: String = "", code: List[(Int, String)] = codeTable): String = { val (unitVal, unitChar) = code.head left - unitVal match { case n if (n == 0) => cont + unitChar case n if (n > 0) => convert(n, cont + unitChar, code) case _ => convert(left, cont, code.tail) } } convert(src) } } val romanToArabic: (String) =?> Int = { case src if (Option(src).exists { s => { s.nonEmpty && ("""[^MDCLXVI]""".r.findFirstMatchIn(s.toUpperCase) == None) } }) => { def convert(left: String, cont: Int = 0, code: List[(Int, String)] = codeTable): Int = { val (unitVal, unitChar) = code.head left.splitAt(unitChar.length) match { case ("", _) => cont case (`unitChar`, tail) => convert(tail, cont + unitVal, code) case _ => convert(left, cont, code.tail) } } convert(src.toUpperCase()) } } }