// ---------- begin Run Length Encoding ---------- fn run_length_encoding(a: &[T]) -> Vec<(T, usize)> { let mut a = a.iter().map(|a| (a.clone(), 1)).collect::>(); a.dedup_by(|a, b| { a.0 == b.0 && { b.1 += a.1; true } }); a } // ---------- end Run Length Encoding ---------- // ---------- 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 ---------- fn run() { input! { n: usize, e: [(usize1, usize1); n - 1], } let mut g = vec![vec![]; n]; for (a, b) in e { g[a].push(b); g[b].push(a); } if g.iter().filter(|g| g.len() > 2).count() > 1 { println!("No"); return; } if n <= 3 { println!("Yes"); return; } let mut ans = "No"; if let Some(x) = g.iter().position(|g| g.len() > 2) { let mut topo = vec![x]; let mut dp = vec![n; n]; dp[x] = 0; for i in 0..n { let v = topo[i]; for &u in g[v].iter() { if dp[u] == n { dp[u] = dp[v] + 1; topo.push(u); } } } dp.sort(); dp.remove(0); let z = run_length_encoding(&dp); let x = z[0].1; if z.iter().all(|dp| dp.1 == x) { ans = "Yes"; } } else { ans = "Yes"; } println!("{}", ans); } fn main() { run(); }