#![allow(unused_imports, unused_macros)] use kyoproio::*; use std::{ collections::*, io::{self, prelude::*}, iter, mem::{replace, swap}, }; fn main() -> io::Result<()> { std::thread::Builder::new() .stack_size(64 * 1024 * 1024) .spawn(solve)? .join() .unwrap(); Ok(()) } fn solve() { let stdin = io::stdin(); let mut kin = KInput::new(stdin.lock()); let stdout = io::stdout(); let mut out = io::BufWriter::new(stdout.lock()); macro_rules! output { ($($args:expr),+) => { write!(&mut out, $($args),+).unwrap(); }; } macro_rules! outputln { ($($args:expr),+) => { output!($($args),+); outputln!(); }; () => { output!("\n"); if cfg!(debug_assertions) { out.flush().unwrap(); } } } let n: usize = kin.input(); if n == 0 { outputln!("1"); return; } let ps: Vec<_> = kin .iter::<(i32, i32)>() .take(n) .map(|(x, y)| [x, y]) .collect(); let map: HashMap<_, _> = ps.iter().enumerate().map(|(i, &p)| (p, i)).collect(); let mut uf = UnionFind::new(n); for (i, &[x, y]) in ps.iter().enumerate() { for dx in -10..=10 { for dy in -10..=10 { if dx * dx + dy * dy <= 100 { if let Some(&j) = map.get(&[x + dx, y + dy]) { uf.unite(i, j); } } } } } let mut comps = vec![Vec::new(); n]; for i in 0..n { comps[uf.root(i)].push(ps[i]); } let mut max = 0; for mut c in comps { if !c.is_empty() { // eprintln!("{:?}", &c); let ([x1, y1], [x2, y2]) = farthest_pair(&mut c); // eprintln!("{:?} - {:?}", c[i], c[j]); let x = x2 - x1; let y = y2 - y1; max = max.max(x * x + y * y); } } let ans = 2. + (max as f64).sqrt(); outputln!("{}", ans); } use std::ops; pub fn graham_scan(ps: &mut [[T; 2]]) -> Vec<[T; 2]> where T: PartialOrd + ops::Sub + ops::Mul + Copy, { ps.sort_by(|p1, p2| p1.partial_cmp(p2).unwrap()); let mut hull: Vec<[T; 2]> = Vec::new(); let mut len = 0; let mut add = |[x, y]: [T; 2], len: &mut usize| { while *len >= 2 { let [x0, y0] = hull[hull.len() - 2]; let [x1, y1] = hull[hull.len() - 1]; if (x1 - x0) * (y - y0) >= (x - x0) * (y1 - y0) { break; } hull.pop(); *len -= 1; } hull.push([x, y]); *len += 1; }; for &p in &*ps { add(p, &mut len); } len = 1; for &p in &ps[1..ps.len() - 1] { add(p, &mut len); } hull } pub fn farthest_pair(ps: &mut [[T; 2]]) -> ([T; 2], [T; 2]) where T: PartialOrd + ops::Add + ops::Sub + ops::Mul + Copy, { let norm = |[x0, y0]: [T; 2], [x1, y1]: [T; 2]| (x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0); let hull = graham_scan(ps); let mut res = None; let mut max = None; let mut j = 0; for &p in &hull { let mut d = norm(p, hull[j]); loop { let j_inc = if j + 1 < hull.len() { j + 1 } else { 0 }; let d_inc = norm(p, hull[j_inc]); if d >= d_inc { break; } d = d_inc; j = j_inc; } if Some(d) > max { max = Some(d); res = Some((p, hull[j])); } } res.unwrap() } pub struct UnionFind { p: Vec, } impl UnionFind { pub fn new(n: usize) -> Self { Self { p: vec![-1; n] } } pub fn root(&self, mut u: usize) -> usize { while self.p[u] >= 0 { u = self.p[u] as usize; } u } pub fn size(&self, u: usize) -> usize { (-self.p[self.root(u)]) as usize } pub fn unite(&mut self, u: usize, v: usize) -> bool { let mut u = self.root(u); let mut v = self.root(v); if u == v { return false; } if self.p[u] > self.p[v] { swap(&mut u, &mut v); } self.p[u] += self.p[v]; self.p[v] = u as isize; true } pub fn is_same(&self, u: usize, v: usize) -> bool { self.root(u) == self.root(v) } } // ----------------------------------------------------------------------------- pub mod kyoproio { use std::io::prelude::*; pub trait Input { fn str(&mut self) -> &str; fn input(&mut self) -> T { T::input(self) } fn iter(&mut self) -> Iter { Iter(self, std::marker::PhantomData) } fn seq>(&mut self, n: usize) -> B { self.iter().take(n).collect() } } pub struct KInput { src: R, buf: String, pos: usize, } impl KInput { pub fn new(src: R) -> Self { Self { src, buf: String::with_capacity(1024), pos: 0, } } pub fn src(&mut self) -> &mut R { &mut self.src } } impl Input for KInput { fn str(&mut self) -> &str { loop { if self.pos >= self.buf.len() { self.pos = 0; self.buf.clear(); if self.src.read_line(&mut self.buf).expect("io error") == 0 { return &self.buf; } } let range = self.pos ..self.buf[self.pos..] .find(|c: char| c.is_ascii_whitespace()) .map(|i| i + self.pos) .unwrap_or_else(|| self.buf.len()); self.pos = range.end + 1; if range.end > range.start { return &self.buf[range]; } } } } pub struct Iter<'a, T, I: ?Sized>(&'a mut I, std::marker::PhantomData<*const T>); impl<'a, T: InputParse, I: Input + ?Sized> Iterator for Iter<'a, T, I> { type Item = T; fn next(&mut self) -> Option { Some(self.0.input()) } } pub trait InputParse: Sized { fn input(src: &mut I) -> Self; } impl InputParse for Vec { fn input(src: &mut I) -> Self { src.str().as_bytes().to_owned() } } macro_rules! from_str_impl { { $($T:ty)* } => { $(impl InputParse for $T { fn input(src: &mut I) -> Self { src.str().parse::<$T>().expect("parse error") } })* } } from_str_impl! { String char bool f32 f64 isize i8 i16 i32 i64 i128 usize u8 u16 u32 u64 u128 } macro_rules! tuple_impl { ($H:ident $($T:ident)*) => { impl<$H: InputParse, $($T: InputParse),*> InputParse for ($H, $($T),*) { fn input(src: &mut I) -> Self { ($H::input(src), $($T::input(src)),*) } } tuple_impl!($($T)*); }; () => {} } tuple_impl!(A B C D E F G); #[macro_export] macro_rules! kdbg { ($($v:expr),*) => { if cfg!(debug_assertions) { dbg!($($v),*) } else { ($($v),*) } } } }