#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod) { //  繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0) { ret = 1; } else if (n % 2 == 1) { ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else { ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod) { return my_pow(x, mod - 2, mod); } void dfs(vector> &graph, vector &isvisited, vector &dp1, vector &dp2, ll v) { isvisited[v] = true; ll ret_min = 1000000; ll ret_max = 0; bool passed = false; for (ll i = 0; i < graph[v].size(); i++) { if (isvisited[graph[v][i]]) { continue; } passed = true; dfs(graph, isvisited, dp1, dp2, graph[v][i]); ret_min = min(ret_min, dp1[graph[v][i]]); ret_max = max(ret_max, dp2[graph[v][i]]); } if (passed) { dp1[v] = ret_max + 1; dp2[v] = ret_min + 1; } else { dp1[v] = 0; dp2[v] = 0; } } int main() { ll N; cin >> N; vector a(N - 1); vector b(N - 1); for (ll i = 0; i < N - 1; i++) { cin >> a[i] >> b[i]; a[i]--; b[i]--; } vector> graph(N, vector(0)); for (ll i = 0; i < N - 1; i++) { graph[a[i]].push_back(b[i]); graph[b[i]].push_back(a[i]); } vector dp1(N); // この頂点に Halc vector dp2(N); // この頂点に Sapp vector isvisited(N, false); dfs(graph, isvisited, dp1, dp2, 0); cout << dp1[0] << endl; cout << dp2[0] << endl; }