fn read() -> Vec<(u64, u64)> { let mut s = String::new(); use std::io::Read; std::io::stdin().read_to_string(&mut s).unwrap(); let mut it = s.trim().split_whitespace(); let t: usize = it.next().unwrap().parse().unwrap(); assert!(t <= 1000); let mut ask = vec![(0u64, 0u64); t]; for p in ask.iter_mut() { p.0 = it.next().unwrap().parse().unwrap(); p.1 = it.next().unwrap().parse().unwrap(); assert!(1 <= p.0 && p.0 <= 1000); assert!(1 <= p.1 && p.1 <= 1000); assert!(is_prime(p.0 * p.1 + 1)); } ask } fn is_prime(n: u64) -> bool { (2..).take_while(|p| p * p <= n).all(|p| n % p != 0) } fn pow(mut r: u64, mut n: u64, m: u64) -> u64 { let mut t = 1 % m; r %= m; while n > 0 { if n & 1 == 1 { t = t * r % m; } r = r * r % m; n >>= 1; } t } fn main() { let ask = read(); for (v, x) in ask { let p = v * x + 1; if p == 2 { println!("1"); continue; } let mut phi = p - 1; let mut f = vec![]; for k in 2.. { if k * k > phi { break; } if phi % k == 0 { f.push(k); while phi % k == 0 { phi /= k; } } } if phi > 1 { f.push(phi); } let phi = p - 1; for z in 2.. { let mut ok = true; for f in f.iter() { ok &= pow(z, phi / *f, p) > 1; } if ok { let mut ans = (0..x).map(|i| pow(z, i * v, p)).collect::>(); ans.sort(); for (i, a) in ans.iter().enumerate() { if i > 0 { print!(" "); } print!("{}", *a); } println!(); break; } } } }