#![allow(dead_code)] #![allow(unused_imports)] #![allow(unused_macros)] use std::cmp::*; use std::fmt::*; use std::hash::*; use std::io::BufRead; use std::iter::FromIterator; use std::*; use std::{cmp, collections, fmt, io, iter, ops, str}; const INF: i64 = 1223372036854775807; const UINF: usize = INF as usize; const LINF: i64 = 2147483647; const INF128: i128 = 1223372036854775807000000000000; const MOD1: i64 = 1000000007; const MOD9: i64 = 998244353; const MOD: i64 = MOD9; const UMOD: usize = MOD as usize; const M_PI: f64 = 3.14159265358979323846; use cmp::Ordering::*; use std::collections::*; use std::io::stdin; use std::io::stdout; use std::io::Write; macro_rules! p { ($x:expr) => { println!("{}", $x); }; } macro_rules! vp { ($x:expr) => { println!( "{}", $x.iter() .map(|x| x.to_string()) .collect::>() .join(" ") ); }; } macro_rules! d { ($x:expr) => { eprintln!("{:?}", $x); }; } macro_rules! yn { ($val:expr) => { if $val { println!("Yes"); } else { println!("No"); } }; } macro_rules! map{ ($($key:expr => $val:expr),*) => { { let mut map = ::std::collections::BTreeMap::new(); $( map.insert($key, $val); )* map } }; } macro_rules! set{ ($($key:expr),*) => { { let mut set = ::std::collections::BTreeSet::new(); $( set.insert($key); )* set } }; } #[allow(dead_code)] fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } #[allow(dead_code)] fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() } #[allow(dead_code)] fn read_mat(n: usize) -> Vec> { (0..n).map(|_| read_vec()).collect() } #[allow(dead_code)] fn readii() -> (i64, i64) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } #[allow(dead_code)] fn readiii() -> (i64, i64, i64) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2]) } #[allow(dead_code)] fn readuu() -> (usize, usize) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } #[allow(dead_code)] fn readff() -> (f64, f64) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } fn readcc() -> (char, char) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } fn readuuu() -> (usize, usize, usize) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2]) } #[allow(dead_code)] fn readiiii() -> (i64, i64, i64, i64) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2], vec[3]) } #[allow(dead_code)] fn readuuuu() -> (usize, usize, usize, usize) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2], vec[3]) } fn dist(a: (f64, f64), b: (f64, f64)) -> f64 { ((a.0 - b.0).powi(2) + (a.1 - b.1).powi(2)).sqrt() } fn main() { let (n, k) = readuu(); let mut pos = vec![]; for i in 0..n { let (x, y) = readii(); pos.push((x as f64, y as f64)); } let mut dp = vec![vec![vec![UINF as f64; 1 << n]; n]; k]; for i in 0..n { dp[k - 1][i][1 << i] = dist((0.0, 0.0), pos[i]); } for b in (0..(1 << n)) { for i in 0..n { if b & (1 << i) == 0 { continue; } for j in 0..n { if b & (1 << j) != 0 { continue; } for l in 0..k { dp[k - 1][j][b | (1 << j)] = dp[k - 1][j][b | (1 << j)] .min(dp[l][i][b] + dist((0.0, 0.0), pos[i]) + dist((0.0, 0.0), pos[j])); if l == 0 { continue; } dp[l - 1][j][b | (1 << j)] = dp[l - 1][j][b | (1 << j)].min(dp[l][i][b] + dist(pos[i], pos[j])); } } } } let mut ans = INF as f64; for i in 0..n { for j in 0..k { ans = ans.min(dp[j][i][(1 << n) - 1] + dist((0.0, 0.0), pos[i])); } } //debug // for i in 0..n { // for j in 0..k { // for l in 0..(1 << n) { // eprint!("{} ", dp[j][i][l]); // } // eprintln!(); // } // } println!("{}", ans); }