// 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(vec![0, 1]); let (cos, sin) = Poly::new().circular(&x, n + 1); let res = (sin + Mi::new(1)) * cos.recip(n + 1) * Mi::new(2); let exp = x.exp(n + 1); println!("{}", res.get(n) / exp.get(n)); } "#; fn main() { let exe = std::env::temp_dir().join("binE66C210B"); 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 = " f0VMRgIBAQAAAAAAAAAAAAMAPgABAAAAEFkBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAAAA AAAAAAEAAAAGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABI8QAAAAAAAAAQAAAAAAAA AQAAAAUAAAAAAAAAAAAAAAAAAQAAAAAAAAABAAAAAACvawAAAAAAAK9rAAAAAAAAABAAAAAAAABR5XRk BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAK4m+KNVUFgh rBIOFgAAAADw6AAA9q8AAOACAACvAAAADgAAABoDAD+RRYRoPYmm2orhgzJO2QZXqpyYa37RZGOxcoQo rhXOp5FuCX6zj1gzpO1/RNYkKFTILwPzgvQc3yJZ5X83heHr9sz7BeGnBxKpxkBydGUu4AB2Ilk4ZzsA zfWrYuMMGGxVtlZuQf7zVVoqXwuID837X2+LXMGsYiomFxejrjfF7kWgId6DHNl4KCBqu0vmeewMkyGD ALydR0v5QoWb4IGPpy/VFewIR+LdqcMADwAAVQMAAA4AAAAaAwAXmwkmM3GmCYALHTJPNRq/liYhnSgP FX2WO3CstB0TYQRuPnDn/eIVCsd0PzwJH8GA1GBgnAQYAAKY6CCNGYYh6yMwpx9YZxyFkuCrC9gfyW0k s3NWuLF3lzbZQIF0gONhuDuE3/5n1x6k+bBRezYhS3+A4d6tf5gz7mjD+PQt6CZa4mP4DytGORXOAtDi Czxh+5NpmvJgmDFJS/oYAr+vmUGmhECDEOA+aNf6Vvyyl7Q/lwjWmRbRSGUz1SdTeulF8CNVeYEKAG4g wqrfMDkj2Mc2FL4dcUDNJfeYJ05iwlX8JoMH6AOFPZq5t9sz/5+XmrpZi+zZLa+Y596pMJ5oZWZoCtF9 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