fn main() { input! { n: usize, m: usize, k: usize, } if let Some(ans) = solve(n, m, k) { println!("Yes"); for (a, b) in ans { println!("{} {}",a + 1, b + 1); } } else { println!("No"); } } // 密をどこかのレイヤに作るのがいい? fn solve(n: usize, m: usize, k: usize) -> Option> { let rem = n * (n - 1) / 2 - m; let mut layer = vec![vec![]; k + 1]; layer[0].push(0); layer[k].push(n - 1); for i in 1..k { layer[i].push(i); } for i in k..(n - 1) { layer[1].push(i); } let mut edge = vec![]; for i in 1..=k { edge.push((layer[i - 1][0], layer[i][0])); } if edge.len() > rem { return None; } for i in 1..=k { for (j, y) in layer[i].iter().enumerate() { for (i, x) in layer[i - 1].iter().enumerate() { if (i, j) == (0, 0) { continue; } edge.push((*x, *y)); } for x in layer[i].iter().take(j) { edge.push((*x, *y)); } } } if edge.len() < rem { return None; } edge.truncate(rem); let mut g = vec![vec![false; n]; n]; for (a, b) in edge { g[a][b] = true; g[b][a] = true; } let mut del = vec![]; for i in 0..n { for j in 0..i { if !g[j][i] { del.push((j, i)); } } } assert!(del.len() == m); Some(del) } // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 #[macro_export] 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_export] 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_export] 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 ----------