use std::io::Write; fn main() { let ref mut buf = String::new(); std::io::Read::read_to_string(&mut std::io::stdin(), buf).ok(); let mut iter = buf.split_whitespace(); macro_rules! scan { ([$t:tt; $n:expr]) => ((0..$n).map(|_| scan!($t)).collect::>()); (($($t:tt),*)) => (($(scan!($t)),*)); (Usize1) => (scan!(usize) - 1); (Bytes) => (scan!(String).into_bytes()); ($t:ty) => (iter.next().unwrap().parse::<$t>().unwrap()); } let stdout = std::io::stdout(); let mut writer = std::io::BufWriter::new(stdout.lock()); let n = scan!(usize); if n == 2 { writeln!(writer, "1").ok(); writeln!(writer, "1 2").ok(); return; } let mut sum = 1; let mut i = 2; while sum + i <= n { sum += i - 1; i += 1; } sum += 1; i -= 1; let mut ans = Vec::new(); let mut p = 1; let mut j = 2; for k in (2..=i).rev() { for _ in 0..k - if k == i { 0 } else { 1 } { ans.push((p, j)); j += 1; } p = j - 1; } for _ in 0..n - sum { ans.push((p, j)); p = j; j += 1; } writeln!(writer, "{}", ans.len()).ok(); for (u, v) in ans { writeln!(writer, "{} {}", u, v).ok(); } }