use std::io::Write; use std::collections::*; type Map = BTreeMap; type Set = BTreeSet; type Deque = VecDeque; fn main() { input!(n: usize); let (e, a) = solve(n); let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); writeln!(out, "{}", e.len()).ok(); for (a, b, w) in e { writeln!(out, "{a} {b} {w}").ok(); } for a in a { use util::*; writeln!(out, "{} {}", a.len(), a.iter().join(" ")).ok(); } } fn solve(n: usize) -> (Vec<(usize, usize, usize)>, Vec>) { if n == 2 { return (vec![(1, 2, 1)], vec![vec![1]]); } let mut e = vec![]; let mut ans = vec![]; let mut map = Map::new(); let mut add_edge = |a: usize, b: usize, w: usize| { let k = e.len() + 1; e.push((a + 1, b + 1, w)); map.insert((a, b, w), k); map.insert((b, a, w), k); }; if n % 2 == 1 { for i in 0..(n - 1) { add_edge(i, n - 1, 1); if i % 2 == 1 { add_edge(i - 1, i, 1); } } drop(add_edge); for s in 0..n { for t in (s + 1)..n { let v = if t == n - 1 || t == s ^ 1 { vec![s, t] } else { vec![s, s ^ 1, n - 1, t ^ 1, t] }; let e = v.windows(2).map(|p| map[&(p[0], p[1], 1)]).collect(); ans.push(e); } } } else { add_edge(0, 1, 1); add_edge(0, 1, 2); for i in 2..n { add_edge(1, i, 1); if i % 2 == 1 { add_edge(i - 1, i, 1); } } drop(add_edge); ans.push(vec![1]); for i in 2..n { let v = vec![0, 1, i ^ 1, i]; let w = vec![2, 1, 1]; let e = (1..4).map(|i| map[&(v[i - 1], v[i], w[i - 1])]).collect(); ans.push(e); } for s in 1..n { for t in (s + 1)..n { let v = if s == 1 || t == s ^ 1 { vec![s, t] } else { vec![s, s ^ 1, 1, t ^ 1, t] }; let e = v.windows(2).map(|p| map[&(p[0], p[1], 1)]).collect(); ans.push(e); } } } (e, ans) } // ---------- 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 ---------- mod util { pub trait Join { fn join(self, sep: &str) -> String; } impl Join for I where I: Iterator, T: std::fmt::Display, { fn join(self, sep: &str) -> String { let mut s = String::new(); use std::fmt::*; for (i, v) in self.enumerate() { if i > 0 { write!(&mut s, "{}", sep).ok(); } write!(&mut s, "{}", v).ok(); } s } } }