use std::collections::{VecDeque, HashSet}; const INF: usize = 1usize << 60; fn tree_diameter(paths: &Vec>) -> (usize, usize, usize) { fn calc(paths: &Vec>, start: usize) -> Vec { let n = paths.len(); let mut costs = vec![INF; n]; costs[start] = 0usize; let mut deq = VecDeque::new(); deq.push_back(start); while let Some(u) = deq.pop_front() { for &(v, cost) in paths[u].iter() { if costs[v] < INF { continue; } costs[v] = costs[v].min(costs[u] + cost); deq.push_back(v); } } costs } let n = paths.len(); let costs = calc(paths, 0); let idx = costs.into_iter().enumerate().max_by_key(|&(_, c)| c).unwrap().0; let costs = calc(paths, idx); let ridx = costs.into_iter().enumerate().max_by_key(|&(_, c)| c).unwrap(); // start_point, end_point, cost (idx, ridx.0, ridx.1) } fn dfs(cur: usize, prev: usize, depths: &mut usize, paths: &Vec>, dists: &mut HashSet) { let mut flg = false; for &(v, _) in paths[cur].iter() { if v == prev { continue; } *depths += 1; dfs(v, cur, depths, paths, dists); *depths -= 1; flg = true; } if !flg { dists.insert(*depths); } } fn main() { let mut n = String::new(); std::io::stdin().read_line(&mut n).ok(); let n: usize = n.trim().parse().unwrap(); let mut paths = vec![vec![]; n]; for _ in 0..n-1 { let mut temp = String::new(); std::io::stdin().read_line(&mut temp).ok(); let temp: Vec = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let a = temp[0]-1; let b = temp[1]-1; paths[a].push((b, 1)); paths[b].push((a, 1)); } let size = paths.iter().filter(|&v| v.len() > 2).count(); if size > 1 { println!("No"); return; } else if size == 0 { println!("Yes"); return; } let (start, end, _) = tree_diameter(&paths); let mut depths = 0usize; let mut dists = HashSet::new(); dfs(start, start, &mut depths, &paths, &mut dists); dfs(end, end, &mut depths, &paths, &mut dists); if dists.len() == 1 { println!("Yes"); } else { println!("No"); } }