// ---------- 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 ---------- use std::io::Write; use std::collections::*; type Map = BTreeMap; fn run() { input! { n: usize, k: usize, c: [u8; 9], } let c = [0, c[0], c[1], c[2], c[3], c[4], c[5], c[6], c[7], c[8]]; let mid = n / 2; let mut dp = Map::new(); dp.insert((0, c), 1u64); for _ in 0..mid { let mut next = Map::new(); for ((v, c), w) in dp { for (i, a) in c.iter().enumerate() { if *a > 0 { let mut c = c; c[i] -= 1; let v = (10 * v + i) % k; *next.entry((v, c)).or_insert(0) += w; } } } dp = next; } let save = dp; let mut dp = Map::new(); dp.insert((0, c), 1u64); for _ in 0..(n - mid) { let mut next = Map::new(); for ((v, c), w) in dp { for (i, a) in c.iter().enumerate() { if *a > 0 { let mut c = c; c[i] -= 1; let v = (10 * v + i) % k; *next.entry((v, c)).or_insert(0) += w; } } } dp = next; } let d = 10usize.pow(mid as u32) % k; let mut ans = 0; for ((v, a), w) in dp { let t = (k - v * d % k) % k; let mut b = c; for (b, a) in b.iter_mut().zip(&a) { *b -= *a; } if let Some(&p) = save.get(&(t, b)) { ans += p * w; } } println!("{}", ans); } fn main() { run(); }