// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use itertools::Itertools;
use proconio::input;

fn main() {
  input! {
    n: usize,
    coordinates: [(i32, i32); n]
  };

  let mut sum = 0_f64;
  for path in coordinates.into_iter().permutations(n) {
    for i in 0..(n - 1) {
      let c1 = path[i];
      let c2 = path[i + 1];
      sum += ((c1.0 - c2.0).pow(2) as f64 + (c1.1 - c2.1).pow(2) as f64).sqrt();
    }
  }
  let res = sum / ((1..=n).fold(1, |acc, x| acc * x) as f64);
  println!("{}", res);
}
*/

fn main() {
    let exe = "/tmp/bin8196F9FC";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAGACBAAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA0NoDAAAAAADQ2gMAAAAAAAAAIAAAAAAA
AQAAAAYAAACg4QMAAAAAAKDhYwAAAAAAoOFjAAAAAAA4IAAAAAAAAIg7AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAKDhAwAAAAAAoOFjAAAAAACg4WMAAAAAADAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
zI0DAAAAAADMjUMAAAAAAMyNQwAAAAAAhAoAAAAAAACECgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAKDhAwAAAAAA
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Measured memory_bytes: 8828