use std::io::*; fn run() { input! { t: usize, x: [u64; t], } let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); for x in x { writeln!(out, "{} {}", x, is_prime_miller(x) as u8).ok(); } } fn main() { run(); } // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 #[macro_export] 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_export] 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_export] 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 ---------- fn is_prime_miller(n: u64) -> bool { if n <= 1 { return false; } else if n <= 3 { return true; } else if n % 2 == 0 { return false; } let r = (n - 1).trailing_zeros() as u64; let d = (n - 1) >> r; let base = [2, 325, 9375, 28178, 450775, 9780504, 1795265022]; let mul = |a: u64, b: u64| -> u64 { (a as u128 * b as u128 % n as u128) as u64 }; base.iter().all(|&a| { let mut x = 1; let mut s = a % n; let mut d = d; while d > 0 { if d & 1 == 1 { x = mul(x, s); } s = mul(s, s); d >>= 1; } if x <= 1 || x == n - 1 { return true; } (1..r) .scan(x, |s, _| { *s = mul(*s, *s); Some(*s) }) .any(|x| x == n - 1) }) }