#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define per(i, n) for (int i = (n)-1; i >= 0; i--)
#define rep2(i, l, r) for (int i = (l); i < (r); i++)
#define per2(i, l, r) for (int i = (r)-1; i >= (l); i--)
#define each(e, v) for (auto &e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;

template <typename T>
using minheap = priority_queue<T, vector<T>, greater<T>>;

template <typename T>
using maxheap = priority_queue<T>;

template <typename T>
bool chmax(T &x, const T &y) {
    return (x < y) ? (x = y, true) : false;
}

template <typename T>
bool chmin(T &x, const T &y) {
    return (x > y) ? (x = y, true) : false;
}

template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}

template <typename T>
void print(const vector<T> &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 <typename T>
void printn(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}

template <typename T>
int lb(const vector<T> &v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
int ub(const vector<T> &v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
void rearrange(vector<T> &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
    int n = v.size();
    vector<int> 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 <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}

template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}

template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}

template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &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 <typename Monoid>
struct Segment_Tree {
    using F = function<Monoid(Monoid, Monoid)>;
    int n;
    vector<Monoid> seg;
    const F f;
    const Monoid e1;

    // f(f(a,b),c) = f(a,f(b,c)), f(e1,a) = f(a,e1) = a

    Segment_Tree(const vector<Monoid> &v, const F &f, const Monoid &e1) : f(f), e1(e1) {
        int m = v.size();
        n = 1;
        while (n < m) n <<= 1;
        seg.assign(2 * n, e1);
        copy(begin(v), end(v), seg.begin() + n);
        for (int i = n - 1; i > 0; i--) seg[i] = f(seg[2 * i], seg[2 * i + 1]);
    }

    Segment_Tree(int m, const Monoid &x, const F &f, const Monoid &e1) : Segment_Tree(vector<Monoid>(m, x), f, e1) {}

    void change(int i, const Monoid &x, bool update = true) {
        if (update) {
            seg[i + n] = x;
        } else {
            seg[i + n] = f(seg[i + n], x);
        }
        i += n;
        while (i >>= 1) seg[i] = f(seg[2 * i], seg[2 * i + 1]);
    }

    Monoid query(int l, int r) const {
        l = max(l, 0), r = min(r, n);
        Monoid L = e1, R = e1;
        l += n, r += n;
        while (l < r) {
            if (l & 1) L = f(L, seg[l++]);
            if (r & 1) R = f(seg[--r], R);
            l >>= 1, r >>= 1;
        }
        return f(L, R);
    }

    Monoid operator[](int i) const { return seg[n + i]; }

    template <typename C>
    int find_subtree(int i, const C &check, const Monoid &x, Monoid &M, int type) const {
        while (i < n) {
            Monoid nxt = type ? f(seg[2 * i + type], M) : f(M, seg[2 * i + type]);
            if (check(nxt, x)) {
                i = 2 * i + type;
            } else {
                M = nxt;
                i = 2 * i + (type ^ 1);
            }
        }
        return i - n;
    }

    // check((区間 [l,r] での演算結果), x) を満たす最小の r (存在しなければ n 以上の値)
    template <typename C>
    int find_first(int l, const C &check, const Monoid &x) const {
        Monoid L = e1;
        int a = l + n, b = n + n;
        while (a < b) {
            if (a & 1) {
                Monoid nxt = f(L, seg[a]);
                if (check(nxt, x)) return find_subtree(a, check, x, L, 0);
                L = nxt, a++;
            }
            a >>= 1, b >>= 1;
        }
        return n;
    }

    // check((区間 [l,r) での演算結果), x) を満たす最大の l (存在しなければ -1)
    template <typename C>
    int find_last(int r, const C &check, const Monoid &x) const {
        Monoid R = e1;
        int a = n, b = r + n;
        while (a < b) {
            if ((b & 1) || a == 1) {
                Monoid nxt = f(seg[--b], R);
                if (check(nxt, x)) return find_subtree(b, check, x, R, 1);
                R = nxt;
            }
            a >>= 1, b >>= 1;
        }
        return -1;
    }
};

auto f = [](int a, int b) { return max(a, b); };
auto c = [](int a, int b) { return a >= b; };

template <bool directed = false>
struct Euler_Tour_Subtree {
    struct edge {
        int to, id;
        edge(int to, int id) : to(to), id(id) {}
    };

    vector<vector<edge>> es;
    vector<int> l, r; // 部分木 i は区間 [l[i],r[i]) に対応する。また、頂点 i は l[i] に対応する。
    const int n;
    int m;

    Segment_Tree<int> seg;
    vector<int> dp;

    Euler_Tour_Subtree(int n) : es(n), l(n), r(n), n(n), m(0), seg(n, -inf, f, -inf), dp(n, 1) {}

    void add_edge(int from, int to) {
        es[from].emplace_back(to, m);
        if (!directed) es[to].emplace_back(from, m);
        m++;
    }

    void _dfs(int now, int pre, int &cnt) {
        l[now] = cnt++;
        for (auto &e : es[now]) {
            if (e.to != pre) _dfs(e.to, now, cnt);
        }
        r[now] = cnt;
    }

    void build(int root = 0) {
        int cnt = 0;
        _dfs(root, -1, cnt);
    }

    void dfs(int now, int pre = -1) {
        each(e, es[now]) {
            if (e.to != pre) dfs(e.to, now);
        }
        int x = seg.query(l[now], r[now]);
        if (x != -inf) {
            int i = seg.find_first(l[now], c, x);
            seg.change(i, -inf);
            int y = seg.query(l[now], r[now]);
            if (y == -inf) {
                dp[now] += x;
            } else {
                int j = seg.find_first(l[now], c, y);
                seg.change(j, -inf);
                dp[now] += x + y;
                if (x % 2 == 0 && y % 2 == 0) {
                    dp[now]--;
                    seg.change(i, 1);
                }
            }
        }
        seg.change(l[now], dp[now]);
    }

    void solve() {
        rep(i, n - 1) {
            int u, v;
            cin >> u >> v;
            u--, v--;
            add_edge(u, v);
        }
        build();
        dfs(0);
        cout << dp[0] << '\n';
    }
};

int main() {
    int N;
    cin >> N;

    Euler_Tour_Subtree G(N);
    G.solve();
}