// -*- coding:utf-8-unix -*- pub fn modmul(a: u64, b: u64, n: u64) -> u64 { debug_assert!(a < n); debug_assert!(b < n); // inline assembly: Rust 1.59 or later (stable) if cfg!(target_arch = "x86_64") { use std::arch::asm; let mut x: u64; unsafe{asm!( "mul {0}", "div {1}", in(reg) b, in(reg) n, inout("rax") a => _, out("rdx") x, options(pure, nomem, nostack), )} debug_assert_eq!(((a as u128) * (b as u128) % (n as u128)) as u64, x); x } else { ((a as u128) * (b as u128) % (n as u128)) as u64 } } pub fn modpow(mut b: u64, mut p: u64, n: u64) -> u64 { let mut r = if (p & 1) == 0 { 1 } else { b }; loop { p >>= 1; if p == 0 { return r; } b = modmul(b, b, n); if p & 1 != 0 { r = modmul(r, b, n); } } } pub fn miller_rabin(n: u64) -> bool { if n == 2 { return true; } if n < 2 || n & 1 == 0 { return false; } let n1 = n - 1; let s = n1.trailing_zeros(); let d = n1 >> s; [2,325,9375,28178,450775,9780504,1795265022].iter().all(|&base| { let a = if base < n { base } else { base % n }; if a == 0 { return true; } let mut t = modpow(a, d, n); if t == 1 || t == n1 { return true; } for _ in 1..s { t = modmul(t, t, n); if t == n1 { return true; } } false }) } pub fn main() { use std::io::{stdin, stdout, BufReader, BufRead, BufWriter, Write}; let start_time = std::time::Instant::now(); let out = stdout(); let mut writer = BufWriter::new(out.lock()); let inp = stdin(); let mut reader = BufReader::new(inp.lock()); let mut ibuf = Vec::::new(); let len = reader.read_until(b'\n', &mut ibuf).unwrap(); let tr = &ibuf[0..=((0..len).rfind(|&i| ibuf[i] > 0x20).unwrap())]; let n = tr.iter().fold(0, |a, &c| a * 10 + (c & 0x0f) as usize); for _ in 0..n { ibuf.clear(); let len = reader.read_until(b'\n', &mut ibuf).unwrap(); let len = (0..len).rfind(|&i| ibuf[i] > 0x20).unwrap(); let tr = &ibuf[0..=len]; let x = tr.iter().fold(0, |a, &c| a * 10 + (c & 0x0f) as u64); let res = miller_rabin(x); writer.write(tr).unwrap(); writer.write(if res { b" 1\n" } else { b" 0\n" }).unwrap(); } writer.flush().unwrap(); eprint!("{}us\n", start_time.elapsed().as_micros()); }