// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); let mut next = || { iter.next().unwrap() }; input_inner!{next, $($r)*} }; ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes .by_ref() .map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr, ) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => { read_value!($next, usize) - 1 }; ($next:expr, $t:ty) => { $next().parse::<$t>().expect("Parse error") }; } fn dfs(g: &Vec>, f: &mut Vec, i: usize, p: usize) { let mut seen = std::collections::HashSet::new(); for &j in &g[i] { if j != p { dfs(g, f, j, i); seen.insert(f[j]); } } let mut x = 0; while seen.contains(&x) { x += 1; } f[i] = x; } fn main() { input! { n: usize, m: usize, a: [usize; m], edges: [(usize, usize); n - 1], } let mut g = vec![vec![]; n]; for (u, v) in edges { g[u - 1].push(v - 1); g[v - 1].push(u - 1); } let mut f = vec![-1; n]; dfs(&g, &mut f, 0, std::usize::MAX); let mut grundy = vec![-1; n]; // grundy[0] = f[0]; let mut h = vec![(std::usize::MAX, -1); n]; let mut q = std::collections::VecDeque::new(); q.push_back((0, std::usize::MAX, -1)); while let Some((i, p, acc)) = q.pop_front() { let mut freq = std::collections::HashMap::new(); for &j in &g[i] { if j != p { let c = freq.entry(f[j]).or_insert(0); *c += 1; } } { // grundy[i] let c = freq.entry(acc).or_insert(0); *c += 1; let mut x = 0; while freq.contains_key(&x) { x += 1; } grundy[i] = x; } for &j in &g[i] { if j != p { if f[j] < grundy[i] && freq.get(&f[j]) == Some(&1) { h[j] = (i, f[j]); q.push_back((j, i, f[j])); } else { h[j] = (i, grundy[i]); q.push_back((j, i, grundy[i])); } } } } let a = a.iter().map(|i| i - 1).collect::>(); let sg = a.iter().fold(0, |acc, &i| acc ^ grundy[i]); if sg == 0 { println!("-1 -1"); return; } let mut seen = std::collections::HashSet::new(); for (idx, &i) in a.iter().enumerate() { if !seen.insert(i) { continue; } let (p, pg) = h[i]; if pg >= 0 && (sg ^ grundy[i] ^ pg) == 0 { println!("{} {}", idx + 1, p + 1); return; } for &j in &g[i] { if j != p { if (sg ^ grundy[i] ^ f[j]) == 0 { println!("{} {}", idx + 1, j + 1); return; } } } } unreachable!(); }