// 三角形じゃなく正四面体の面をくっつけてく操作をイメージ use std::collections::*; type Set = BTreeSet; fn main() { input! { n: usize, m: usize, e: [(usize1, usize1); m], } let mut g = vec![Set::new(); n]; for &(a, b) in e.iter() { g[a].insert(b); g[b].insert(a); } let mut dfs = vec![]; let mut child = vec![vec![]; n]; for i in 0..n { if g[i].len() == 3 { dfs.push(i); } } let mut deg = vec![0; n]; let mut parent = vec![vec![]; n]; while let Some(v) = dfs.pop() { if g[v].len() != 3 { continue; } parent[v].extend(g[v].iter().cloned()); for u in g[v].clone() { deg[v] += 1; child[u].push(v); g[v].remove(&u); g[u].remove(&v); if g[u].len() == 3 { dfs.push(u); } } } let mut ans = vec![0; n]; let mut k = 1; let mut deq = VecDeque::new(); for i in 0..n { if g[i].len() > 0 { ans[i] = k; k += 1; for &u in child[i].iter() { deg[u] -= 1; if deg[u] == 0 { deq.push_back(u); } } } } while let Some(v) = deq.pop_front() { ans[v] = (1..=4).find(|&c| parent[v].iter().all(|p| ans[*p] != c)).unwrap(); for &u in child[v].iter() { deg[u] -= 1; if deg[u] == 0 { deq.push_back(u); } } } println!("Yes"); use util::*; println!("{}", ans.iter().join(" ")); } // ---------- 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 } } }