// ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 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_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_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 ---------- use std::io::Write; fn run() { input! { q: usize, ask: [usize; q], } let n = *ask.iter().max().unwrap(); let mut ans = vec![vec![]; n + 1]; let mut val = (0..=n).map(|p| p * p + 1).collect::>(); for i in 1..=n { let p = val[i]; if p > 1 { for s in [i, p - i].iter() { let mut j = *s; while j <= n { while val[j] % p == 0 { ans[j].push(p); val[j] /= p; } j += p; } } } } for a in ans.iter_mut() { a.sort(); } let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); for (i, &x) in ask.iter().enumerate() { assert!(x <= 100000, "ERROR, {} {}", i, x); let mut s = String::new(); for p in ans[x].iter() { s.push_str(&format!("{} ", *p)); } s.pop(); writeln!(out, "{}", s).ok(); } } fn main() { run(); }