#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::{Write, BufWriter}; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes .by_ref() .map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr, ) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, [graph1; $len:expr]) => {{ let mut g = vec![vec![]; $len]; let ab = read_value!($next, [(usize1, usize1)]); for (a, b) in ab { g[a].push(b); g[b].push(a); } g }}; ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => (read_value!($next, usize) - 1); ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } #[allow(unused)] macro_rules! debug { ($($format:tt)*) => (write!(std::io::stderr(), $($format)*).unwrap()); } #[allow(unused)] macro_rules! debugln { ($($format:tt)*) => (writeln!(std::io::stderr(), $($format)*).unwrap()); } // ref: https://kuretchi.github.io/blog/entries/automaton-dp/ fn digital_dp(alpha: &[i32], act: F, a: &[i32], n: usize, trans: G, init: &[usize]) -> Vec> where F: Fn(i64, i32) -> i64, G: Fn(usize, i32) -> Option { let len = a.len(); let mut dp = vec![vec![[0; 2]; n]; len + 1]; for &v in init { dp[0][v][1] = 1; } for i in 0..len { for j in 0..n { for eq in 0..2 { let val = dp[i][j][eq]; for &c in alpha { if eq == 1 && c > a[i] { continue; } if let Some(to) = trans(j, c) { dp[i + 1][to][eq & if c == a[i] { 1 } else { 0 }] += act(val, c); } } } } } dp } fn solve() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts { ($($format:tt)*) => (let _ = write!(out,$($format)*);); } input!(n: i64); const N: usize = 30; let alpha = [-2, -1, 0, 1, 2]; let mut dig = vec![0; N]; let mut v = n; for i in 0..N { let mut r = v % 5; if r >= 3 { r -= 5; } dig[N - 1 - i] = r as i32; v = (v - r) / 5; } let act = |a: i64, _c: i32| a; let trans = |st: usize, c: i32| { let (delta, zero) = ((st / 2) as i32, st % 2); if zero == 1 && c < 0 { return None; } if delta + c < 0 || delta + c >= 4 * N as i32 { return None; } Some(2 * (delta + c) as usize + (zero & if c == 0 { 1 } else { 0 })) }; let dp = digital_dp(&alpha, act, &dig, 8 * N, trans, &[4 * N + 1]); puts!("{}\n", dp[N][4 * N][0] + dp[N][4 * N][1]); } fn main() { // In order to avoid potential stack overflow, spawn a new thread. let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); thd.spawn(|| solve()).unwrap().join().unwrap(); }