#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; const int MOD = 1000000007; // const int MOD = 998244353; template struct Graph { struct edge { int to, id; int grundy; edge(int to, int id) : to(to), id(id) {} }; vector> es; const int n; int m; vector> cnt; vector g1, g2; Graph(int n) : es(n), n(n), m(0), cnt(n), g1(n), g2(n) {} void add_edge(int from, int to) { es[from].emplace_back(to, m); if (!directed) es[to].emplace_back(from, m); m++; } int dfs1(int now, int pre) { int d = sz(es[now]); cnt[now].assign(d + 1, 0); each(e, es[now]) { if (e.to == pre) continue; int g = dfs1(e.to, now); e.grundy = g; if (g <= d) cnt[now][g]++; } rep(i, d + 1) { if (cnt[now][i] == 0) return g1[now] = i; } return g1[now] = d + 1; } void dfs2(int now, int pre, int top) { int d = sz(es[now]); if (pre != -1 && top <= d) cnt[now][top]++; rep(i, d + 1) { if (cnt[now][i] == 0) g2[now] = i; } each(e, es[now]) { if (e.to == pre) { e.grundy = top; } else { int x = g2[now]; if (cnt[now][g1[e.to]] == 1) chmin(x, g1[e.to]); dfs2(e.to, now, x); } } } void solve(const vector &a) { dfs1(0, -1); dfs2(0, -1, inf); // print(g1), print(g2); int XOR = 0; each(e, a) XOR ^= g2[e]; if (XOR == 0) { cout << -1 << ' ' << -1 << '\n'; return; } rep(i, sz(a)) { int e = a[i]; int t = g2[e] ^ XOR; // cout << e + 1 << ' ' << t << '\n'; if (g2[e] > t) { each(u, es[e]) { if (u.grundy == t) { cout << i + 1 << ' ' << u.to + 1 << '\n'; return; } } } } } }; int main() { int N, M; cin >> N >> M; vector a(M); rep(i, M) { cin >> a[i]; a[i]--; } Graph G(N); rep(i, N - 1) { int u, v; cin >> u >> v; u--, v--; G.add_edge(u, v); } G.solve(a); }