use proconio::input; fn main() { input! { (n, i): (usize, usize), } let mut nn = vec![]; let mut rem = n; for j in (1..=i).rev() { if rem == 0 { break; } let sub_n = find_max_n(rem, j); nn.push(sub_n); rem -= calc_combinations(sub_n, j); } println!( "{}", nn.iter() .map(|n| n.to_string()) .collect::>() .join(" ") ); } /// Calculates the number of combinations that select `k` elements from `n` elements. pub fn calc_combinations(n: usize, k: usize) -> usize { if k > n { return 0; } let k = k.min(n - k); let mut ret = 1; for i in 0..k { ret *= n - i; ret /= i + 1; } ret } fn find_max_n(rem: usize, i: usize) -> usize { (i..) .take_while(|&j| calc_combinations(j, i) <= rem) .last() .unwrap() }