// This code is generated by [rsk0315/cargo-atcoder](https://github.com/rsk0315/cargo-atcoder) forked from [tanakh/cargo-atcoder](https://github.com/tanakh/cargo-atcoder). // Original source code: const _: &str = r#" use std::cell::RefCell; use std::thread::LocalKey; use proconio::input; use nekolib::math::{ ButterflyCache, ModIntBase, Modulus, NttFriendly, Polynomial, StaticModInt, }; #[derive(Clone, Copy, Eq, PartialEq)] struct Mod1012924417; impl Modulus for Mod1012924417 { const VALUE: u32 = 1012924417; } impl NttFriendly for Mod1012924417 { fn butterfly_cache() -> &'static LocalKey>>> { thread_local! { static BUTTERFLY_CACHE: RefCell>> = Default::default(); } &BUTTERFLY_CACHE } } type Mi = StaticModInt; type Poly = Polynomial; fn main() { input! { n: usize, } let x = Poly::from([0, 1]); let exp = x.exp(n + 1); let s = Poly::from([0]).fode(n + 1, |y: &Poly, n| { ((y * y).truncated(n) + Mi::new(1), y * Mi::new(2)) }); let t = Poly::from([1]).fode(n + 1, |y: &Poly, n| { let tan = x.tan(n); ((y * &tan).truncated(n), tan) }); let res = Mi::new(2) * (s + t).get(n) / exp.get(n); println!("{}", res); } "#; fn main() { let exe = std::env::temp_dir().join("bin8FA1BD4B"); std::io::Write::write_all(&mut std::fs::File::create(&exe).unwrap(), &decode(BIN)).unwrap(); #[cfg(unix)] fn executable(exe: &std::path::Path) { std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap(); } #[cfg(not(unix))] fn executable(_: &std::path::Path) {} executable(&exe); std::process::exit(std::process::Command::new(&exe).status().unwrap().code().unwrap()) } fn decode(v: &str) -> Vec { let mut ret = vec![]; let mut buf = 0; let mut tbl = vec![64; 256]; for i in 0..64 { tbl[TBL[i] as usize] = i as u8; } for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() { match i % 4 { 0 => buf = c << 2, 1 => { ret.push(buf | c >> 4); buf = c << 4; } 2 => { ret.push(buf | c >> 2); buf = c << 6; } 3 => ret.push(buf | c), _ => unreachable!(), } } ret } const TBL: &[u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; const BIN: &str = " f0VMRgIBAQAAAAAAAAAAAAMAPgABAAAAmNABAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAAAA AAAAAAEAAAAGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABIUQEAAAAAAAAQAAAAAAAA AQAAAAUAAAAAAAAAAAAAAABgAQAAAAAAAGABAAAAAAA3gwAAAAAAADeDAAAAAAAAABAAAAAAAABR5XRk BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAALImGL5VUFgh rBIOFgAAAADwSAEApg8BAOACAAC1AAAADgAAABoDAD+RRYRoPYmm2orhgzJO2QZXqpyYa37RW3iICV1i kGjipl1Sqlr1cKIHvdYH5G5CvsBHaQK0fgDwUi7RcPQK1X0c1xNqfiZnsuMg0qqw+dM6476nqGl8ii4f frmvEraxMfSMJvfvpC6URwz9nBmdoJWHV53LkpY3G29wCjH/2XWIEqOrc5eH7TjN6ArH4UoXbkGjpbez Z3/0+su120XZon5JaPr4whHyv9FXfGQIUQUyOgAADwAAUAMAAA4AAAAaAwAXmwkmM3GmCYALHTJPNRq/ liYhnSgPFX2WO3CstB0TYQRuPnDn/eIVCsd0PzwJH8GA1GBgnAQYAAKY6CCNGYYh6yMwpx9YZxyFkuCr C9gfyW0ks3NWuLF3lzbZQIF0gONhuDuE3/5n1x6k+bBRezYhS3+A4d6tf5gz7mjD+PQt6CZa4mP4DytG 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