#![allow(non_snake_case, unused_must_use, unused_imports)] use std::io::{self, prelude::*}; fn main() { let (stdin, stdout) = (io::read_to_string(io::stdin()).unwrap(), io::stdout()); let (mut stdin, mut buffer) = (stdin.split_whitespace(), io::BufWriter::new(stdout.lock())); macro_rules! input { ($t: ty, $n: expr) => { (0..$n).map(|_| input!($t)).collect::>() }; ($t: ty) => { stdin.next().unwrap().parse::<$t>().unwrap() }; } let mut X = input!(u64); if X == 1 { writeln!(buffer, "2\n1 2\nb g"); return; } let mut childs = vec![]; let mut cnt = 0; for p in 2.. { if p * p > X { break; } if X % p != 0 { continue; } if p + 1 + cnt > 200_000 { writeln!(buffer, "-1"); return; } let mut e = 0; while X % p == 0 { e += 1; X /= p; } let mut c = 1; for _ in 0..e / 2 { c *= p; } if e == 1 { childs.push(p); cnt += p + 1; continue; } if e % 2 == 1 { childs.push(c); childs.push(c); childs.push(p); cnt += 2 * c + p + 3; } else { childs.push(c); childs.push(c); cnt += 2 * c + 2; } } if X != 1 { childs.push(X); cnt += X + 1; } if cnt > 200_000 { writeln!(buffer, "-1"); return; } writeln!(buffer, "{}", cnt); let mut is_brown = vec![false; cnt as usize]; for i in 0..childs.len() { is_brown[i] = true; } for i in 0..childs.len() - 1 { writeln!(buffer, "{} {}", i + 1, i + 2); } let mut r = 0; let mut cur = childs.len(); for c in childs { for _ in 0..c { writeln!(buffer, "{} {}", r + 1, cur + 1); cur += 1; } r += 1; } writeln!( buffer, "{}", is_brown .into_iter() .map(|b| if b { "b" } else { "g" }) .collect::>() .join(" ") ); }