#![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!( "{}", $x.iter() .map(|x| x.to_string()) .collect::<Vec<_>>() .join(" ") ); }; } macro_rules! d { ($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: std::str::FromStr>() -> 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<T: std::str::FromStr>() -> Vec<T> { read::<String>() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() } #[allow(dead_code)] fn read_mat<T: std::str::FromStr>(n: usize) -> Vec<Vec<T>> { (0..n).map(|_| read_vec()).collect() } #[allow(dead_code)] fn readii() -> (i64, i64) { let mut vec: Vec<i64> = read_vec(); (vec[0], vec[1]) } #[allow(dead_code)] fn readiii() -> (i64, i64, i64) { let mut vec: Vec<i64> = read_vec(); (vec[0], vec[1], vec[2]) } #[allow(dead_code)] fn readuu() -> (usize, usize) { let mut vec: Vec<usize> = read_vec(); (vec[0], vec[1]) } #[allow(dead_code)] fn readff() -> (f64, f64) { let mut vec: Vec<f64> = read_vec(); (vec[0], vec[1]) } fn readcc() -> (char, char) { let mut vec: Vec<char> = read_vec(); (vec[0], vec[1]) } fn readuuu() -> (usize, usize, usize) { let mut vec: Vec<usize> = read_vec(); (vec[0], vec[1], vec[2]) } #[allow(dead_code)] fn readiiii() -> (i64, i64, i64, i64) { let mut vec: Vec<i64> = read_vec(); (vec[0], vec[1], vec[2], vec[3]) } #[allow(dead_code)] fn readuuuu() -> (usize, usize, usize, usize) { let mut vec: Vec<usize> = read_vec(); (vec[0], vec[1], vec[2], vec[3]) } fn binom(n: usize, k: usize) -> usize { if k > n { return 0; } if k == 0 || k == n { return 1; } let mut res = 1usize; let k = k.min(n - k); for i in 1..=k { res = res * (n - i + 1) / i; if res > LINF as usize { return UINF; } } res } fn main() { let (mut r, mut k) = readuu(); let mut ans = Vec::new(); let mut prev = UINF; while r > 0 && k >= 1 { if k == 1 { let n_val = if r < prev { r } else { prev - 1 }; ans.push(n_val); r -= n_val; } else { let (mut lo, mut hi) = (k, prev - 1); let mut cand = lo; while lo <= hi { let mid = (lo + hi) / 2; let b = binom(mid, k); if b <= r { cand = mid; lo = mid + 1; } else { if mid == 0 { break; } hi = mid - 1; } } ans.push(cand); r -= binom(cand, k); } if k == 0 { break; } prev = *ans.last().unwrap(); k -= 1; } vp!(ans); }