// ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- fn run() { input! { n: usize, m: usize, } let pow = |mut r: usize, mut n: usize| -> usize { let mut t = 1; while n > 0 { if n & 1 == 1 { t = t * r % m; } r = r * r % m; n >>= 1; } t }; let mut fact = vec![1; n + 1]; for i in 1..=n { fact[i] = fact[i - 1] * i % m; } let mut ifact = vec![1; n + 1]; ifact[n] = pow(fact[n], m - 2); for i in (1..n).rev() { ifact[i] = (i + 1) * ifact[i + 1] % m; } let binom = |n: usize, k: usize| -> usize { fact[n] * ifact[k] % m * ifact[n - k] % m }; let mut dp = vec![vec![0; n]; n + 1]; dp[0][0] = 1; dp[1][0] = 1; for n in 2..=n { for e in 0..n { let mut val = dp[n - 1][e]; for i in 1..=e { val = (val + pow(i + 1, i - 1) * binom(n - 1, i) % m * dp[n - i - 1][e - i]) % m; } dp[n][e] = val; } } for i in 0..n { println!("{}", dp[n][i]); } } fn main() { run(); }