// -*- coding:utf-8-unix -*- // #![feature(map_first_last)] #![allow(dead_code)] #![allow(unused_imports)] #![allow(unused_macros)] use std::collections::*; use std::convert::*; use std::convert::{From, Into}; use std::fmt::Debug; use std::fs::File; use std::io::prelude::*; use std::io::*; use std::marker::Copy; use std::mem::*; use std::ops::Bound::*; use std::ops::{Add, Mul, Neg, Sub}; use std::str; use std::vec; use std::{cmp, process::Output}; use std::{cmp::Ordering, env::consts::DLL_PREFIX}; use std::{cmp::Ordering::*, f32::consts::PI}; const INF: i64 = 1223372036854775807; const UINF: usize = INF as usize; const FINF: f64 = 122337203685.0; const INF128: i128 = 1223372036854775807000000000000; const LINF: i64 = 2147483647; // const MOD: i64 = 1000000007; const MOD: i64 = 998244353; const UMOD: usize = MOD as usize; use std::cmp::*; use std::collections::*; use std::io::stdin; use std::io::stdout; use std::io::Write; macro_rules! p { ($x:expr) => { println!("{}", $x); }; } macro_rules! d { ($x:expr) => { dbg!($x); }; } // use str::Chars; #[allow(dead_code)] fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } // #[allow(dead_code)] // fn readi() -> (i64) { // let mut str = String::new(); // let _ = stdin().read_line(&mut str).unwrap(); // let mut iter = str.split_whitespace(); // iter.next().unwrap().parse::().unwrap() // } #[allow(dead_code)] fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() } #[allow(dead_code)] fn read_vec2(n: u32) -> Vec> { (0..n).map(|_| read_vec()).collect() } #[allow(dead_code)] fn readii() -> (i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readff() -> (f64, f64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readiii() -> (i64, i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuu() -> (usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readcc() -> (char, char) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuuu() -> (usize, usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuuuu() -> (usize, usize, usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readiiii() -> (i64, i64, i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readin() -> (String, String) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( // iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn dfs(v: usize, graph: &Vec>, used: &mut Vec, data: &mut Vec) { used[v] = 1; for i in graph[v].iter() { let nv = (*i).0; if used[nv] == 1 { continue; } data[nv] = data[v] + 1; dfs(nv, &graph, used, data); } return; } macro_rules! chmin { (base:expr, $(cmps:expr),+ $(,)*) => {{ let cmp_min = min!($(cmps),+); if base > cmp_min { base = cmp_min; true } else { false } }}; } macro_rules! chmax { (base:expr, $(cmps:expr),+ $(,)*) => {{ let cmp_max = max!($(cmps),+); if base < cmp_max { base = cmp_max; true } else { false } }}; } macro_rules! min { (a:expr $(,)*) => {{ a }}; (a:expr, b:expr $(,)*) => {{ std::cmp::min(a, b) }}; (a:expr, $(rest:expr),+ $(,)*) => {{ std::cmp::min(a, min!($(rest),+)) }}; } macro_rules! max { (a:expr $(,)*) => {{ a }}; (a:expr, b:expr $(,)*) => {{ std::cmp::max(a, b) }}; (a:expr, $(rest:expr),+ $(,)*) => {{ std::cmp::max(a, max!($(rest),+)) }}; } fn solve() { let n: usize = read(); let mut graph = vec![vec![(0 as usize, 0 as usize); (0) as usize]; (n) as usize]; for i in 0..n - 1 { let (mut a, mut b) = readuu(); a -= 1; b -= 1; graph[a].push((b, 1)); graph[b].push((a, 1)); } // let mut x = 0 as usize; let mut f1 = true; let mut leaf = vec![0; 0]; let mut r = 0 as usize; let mut mr = 0 as usize; let mut rr = vec![0; 0]; for i in 0..n { if graph[i].len() == 1 { leaf.push(i); } if graph[i].len() > 2 { f1 = false; } if mr < graph[i].len() { mr = graph[i].len(); r = i; rr = vec![i]; } else if mr == graph[i].len() { rr.push(i); } // d!(graph[i].len()); } if f1 { println!("{}", "Yes"); return; } let mut flg = true; for i in 0..n { if graph[i].len() > 2 && graph[i].len() != mr && graph[i].len() > 2 { flg = false; } } for l1 in rr { // let mut l1 = r; let mut used = vec![0; n]; let mut data = vec![0; n]; dfs(l1, &graph, &mut used, &mut data); // let mut = 0 as usize; // let mut = 0 as usize; let mut d = vec![0; 0]; for i in 0..leaf.len() { let mut l = leaf[i]; d.push(data[l]); } for i in 0..d.len() - 1 { if d[i] != d[i + 1] { flg = false; } } } // d!(data); if flg { println!("Yes"); } else { println!("No"); } return; } fn main() { solve() }