use std::io::Read; fn get_word() -> String { let stdin = std::io::stdin(); let mut stdin=stdin.lock(); let mut u8b: [u8; 1] = [0]; loop { let mut buf: Vec = Vec::with_capacity(16); loop { let res = stdin.read(&mut u8b); if res.unwrap_or(0) == 0 || u8b[0] <= b' ' { break; } else { buf.push(u8b[0]); } } if buf.len() >= 1 { let ret = String::from_utf8(buf).unwrap(); return ret; } } } #[allow(dead_code)] fn get() -> T { get_word().parse().ok().unwrap() } fn main() { let n: usize = get(); let mut fac = vec![0; n + 1]; let mut maxp = 2; for i in 2..n + 1 { if fac[i] != 0 { continue; } maxp = i; for j in 1..n / i + 1 { fac[i * j] = i; } } let mut ans = 1; for i in 2..n + 1 { if i != maxp { let mut v = i; let p = fac[v]; while v % p == 0 { v /= p; } if v == 1 { ans = ans * p as i64 % 998_244_353; } } } println!("{}", ans); }