fn run() { input! { m: usize, n: usize, } if m < n { println!("00000000"); return; } const MOD: usize = 10usize.pow(8); let mut c = [0; 2]; let mut nu = 1; let mut de = 1; for i in 0..n.min(m - n) { let mut v = m - i; for (c, p) in c.iter_mut().zip([2, 5].iter()) { while v % *p == 0 { v /= *p; *c += 1; } } nu = nu * v % MOD; let mut v = i + 1; for (c, p) in c.iter_mut().zip([2, 5].iter()) { while v % *p == 0 { v /= *p; *c -= 1; } } de = de * v % MOD; } let mut t = 1; let mut r = de; let mut k = MOD / 10 * 4 - 1; while k > 0 { if k & 1 == 1 { t = t * r % MOD; } r = r * r % MOD; k >>= 1; } assert!(t * de % MOD == 1); let mut ans = t * nu % MOD; for (c, p) in c.iter().zip([2, 5].iter()) { for _ in 0..*c { ans = ans * *p % MOD; } } println!("{:08}", ans); } fn main() { run(); } // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 #[macro_export] 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_export] 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_export] 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 ----------