// ---------- 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 ---------- use std::io::Write; fn run() { input! { n: usize, e: [(usize1, usize1); n - 1], } assert!(n < 5000); let mut g = vec![vec![]; n]; for &(a, b) in e.iter() { g[a].push(b); g[b].push(a); } g.iter_mut().for_each(|g| g.sort()); for root in 0..n { let mut topo = vec![root]; let mut parent = vec![n; n]; for i in 0..n { let v = topo[i]; for &u in g[v].iter() { if u != parent[v] { parent[u] = v; topo.push(u); } } } let mut dp = vec![(true, true, n); n]; for &v in topo.iter().rev() { let mut child = vec![]; for &u in g[v].iter() { if u != parent[v] { child.push(dp[u]); } } if child.is_empty() { continue; } dp[v].0 = child.iter().all(|p| p.0 && p.2 > v); let len = child.len(); for p in child.iter().take(len - 1) { dp[v].1 &= p.0 && p.2 > v; } dp[v].1 &= child[len - 1].1; dp[v].2 = *g[v].iter().filter(|p| **p != parent[v]).min().unwrap(); } if dp[root].1 { println!("Yes"); } else { println!("No"); } } let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); } fn main() { run(); }