#include <bits/stdc++.h>
using namespace std;

#define int long long
#define rep(i, n) for (int i = 0; i < (int) (n); i++)
#define reps(i, n) for (int i = 1; i <= (int) (n); i++)
#define all(x) (x).begin(), (x).end()
#define uniq(x) (x).erase(unique(all(x)), (x).end())
#define bit(n) (1LL << (n))
#define dump(x) cerr << #x " = " << (x) << endl
using vint = vector<int>;
using vvint = vector<vint>;
using pint = pair<int, int>;
using vpint = vector<pint>;
template<typename T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
constexpr double PI = 3.1415926535897932384626433832795028;
constexpr int DY[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0};
constexpr int DX[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0};
int sign(int x) { return (x > 0) - (x < 0); }
int gcd(int a, int b) {
    while (b) { swap(a %= b, b); }
    return a;
}
int lcm(int a, int b) { return a / gcd(a, b) * b; }
int cdiv(int a, int b) { return (a - 1 + b) / b; }
template<typename T> void fin(T mes) {
    cout << mes << endl;
    exit(0);
}
template<typename T, typename U> bool chmax(T &a, const U &b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
template<typename T, typename U> bool chmin(T &a, const U &b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &rhs) {
    os << "(" << rhs.first << ", " << rhs.second << ")";
    return os;
}
template<typename T> ostream &operator<<(ostream &os, const vector<T> &rhs) {
    os << "{";
    for (auto itr = rhs.begin(); itr != rhs.end(); itr++) {
        os << *itr << (next(itr) != rhs.end() ? ", " : "");
    }
    os << "}";
    return os;
}
template<typename T> ostream &operator<<(ostream &os, const deque<T> &rhs) {
    os << "{";
    for (auto itr = rhs.begin(); itr != rhs.end(); itr++) {
        os << *itr << (next(itr) != rhs.end() ? ", " : "");
    }
    os << "}";
    return os;
}
template<typename T> ostream &operator<<(ostream &os, const set<T> &rhs) {
    os << "{";
    for (auto itr = rhs.begin(); itr != rhs.end(); itr++) {
        os << *itr << (next(itr) != rhs.end() ? ", " : "");
    }
    os << "}";
    return os;
}
template<typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &rhs) {
    os << "{";
    for (auto itr = rhs.begin(); itr != rhs.end(); itr++) {
        os << *itr << (next(itr) != rhs.end() ? ", " : "");
    }
    os << "}";
    return os;
}
struct setup {
    static constexpr int PREC = 20;
    setup() {
        cout << fixed << setprecision(PREC);
        cerr << fixed << setprecision(PREC);
    };
} setup;

template<typename F> long long discrete_binary_search(long long ok, long long ng, F is_ok) {
    while (abs(ok - ng) > 1) {
        long long mid = (ok + ng) / 2;
        (is_ok(mid) ? ok : ng) = mid;
    }
    return ok;
}

signed main() {
    int N;
    cin >> N;
    vvint G(N);
    vint deg(N);
    rep(i, N - 1) {
        int a, b;
        cin >> a >> b, a--, b--;
        G[a].emplace_back(b), G[b].emplace_back(a);
        deg[a]++, deg[b]++;
    }
    int A = 0;
    rep(i, N) { A += deg[i] & 1; }
    A /= 2;
    cout << A << " " << discrete_binary_search(N, 0, [&](int B) {
        bool flag = true;
        auto dfs = [&](auto &&self, int cur, int par) -> int {
            vint dep;
            if (par == -1) { dep.emplace_back(N); }
            if (deg[cur] & 1) { dep.emplace_back(0); }
            for (int to:G[cur]) {
                if (to != par) { dep.emplace_back(self(self, to, cur)); }
            }
            sort(all(dep));
            int idx = discrete_binary_search(dep.size(), -1, [&](int x) {
                vint cpy = dep;
                cpy.erase(cpy.begin() + x);
                rep(i, cpy.size() / 2) {
                    if (B < cpy[i] + cpy[cpy.size() - i - 1]) { return false; }
                }
                return true;
            });
            flag &= idx < dep.size();
            return dep[idx] + 1;
        };
        dfs(dfs, 0, -1);
        return flag;
    }) << endl;
}


Measured memory_bytes: 21356