#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for(llint x = (s); (x) <= (t); (x)++) #define per(x, s, t) for(llint x = (s); (x) >= (t); (x)--) #define reps(x, s) for(llint x = 0; (x) < (llint)(s).size(); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define sz(x) ((ll)(x).size()) #define ceil(x, y) (((x)+(y)-1) / (y)) #define all(x) (x).begin(),(x).end() #define outl(...) dump_func(__VA_ARGS__) #define inf 1e18 using namespace std; typedef long long llint; typedef long long ll; typedef pair P; struct edge{ ll to, cost; edge(){} edge(ll a, ll b){ to = a, cost = b;} }; const ll dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1}; const ll mod = 1000000007; //const ll mod = 998244353; struct mint{ ll x = 0; mint(ll y = 0){x = y; if(x < 0 || x >= mod) x = (x%mod+mod)%mod;} mint(const mint &ope) {x = ope.x;} mint operator-(){return mint(-x);} mint operator+(const mint &ope){return mint(x) += ope;} mint operator-(const mint &ope){return mint(x) -= ope;} mint operator*(const mint &ope){return mint(x) *= ope;} mint operator/(const mint &ope){return mint(x) /= ope;} mint& operator+=(const mint &ope){ x += ope.x; if(x >= mod) x -= mod; return *this; } mint& operator-=(const mint &ope){ x += mod - ope.x; if(x >= mod) x -= mod; return *this; } mint& operator*=(const mint &ope){ x *= ope.x, x %= mod; return *this; } mint& operator/=(const mint &ope){ ll n = mod-2; mint mul = ope; while(n){ if(n & 1) *this *= mul; mul *= mul; n >>= 1; } return *this; } mint inverse(){return mint(1) / *this;} bool operator ==(const mint &ope){return x == ope.x;} bool operator !=(const mint &ope){return x != ope.x;} }; mint modpow(mint a, ll n){ if(n == 0) return mint(1); if(n % 2) return a * modpow(a, n-1); else return modpow(a*a, n/2); } istream& operator >>(istream &is, mint &ope){ ll t; is >> t, ope.x = t; return is; } ostream& operator <<(ostream &os, mint &ope){return os << ope.x;} ostream& operator <<(ostream &os, const mint &ope){return os << ope.x;} bool exceed(ll x, ll y, ll m){return x >= m / y + 1;} void mark(){ cout << "*" << endl; } void yes(){ cout << "YES" << endl; } void no(){ cout << "NO" << endl; } ll sgn(ll x){ if(x > 0) return 1; if(x < 0) return -1; return 0;} ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);} ll lcm(ll a, ll b){return a/gcd(a, b)*b;} ll digitnum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret++; return ret;} ll digitsum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret += x % b; return ret;} string lltos(ll x){string ret; for(;x;x/=10) ret += x % 10 + '0'; reverse(ret.begin(), ret.end()); return ret;} ll stoll(string &s){ll ret = 0; for(auto c : s) ret *= 10, ret += c - '0'; return ret;} template void uniq(T &vec){ sort(vec.begin(), vec.end()); vec.erase(unique(vec.begin(), vec.end()), vec.end());} template pair& operator+=(pair &s, const pair &t){ s.first += t.first, s.second += t.second; return s; } template pair& operator-=(pair &s, const pair &t){ s.first -= t.first, s.second -= t.second; return s; } template pair operator+(const pair &s, const pair &t){ return pair(s.first+t.first, s.second+t.second); } template pair operator-(const pair &s, const pair &t){ return pair(s.first-t.first, s.second-t.second); } template ostream& operator << (ostream& os, vector& vec) { for(int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template ostream& operator << (ostream& os, deque& deq) { for(int i = 0; i < deq.size(); i++) os << deq[i] << (i + 1 == deq.size() ? "" : " "); return os; } template ostream& operator << (ostream& os, pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator << (ostream& os, const pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator << (ostream& os, map& map_var) { for(typename map::iterator itr = map_var.begin(); itr != map_var.end(); itr++) { os << "(" << itr->first << ", " << itr->second << ")"; itr++; if(itr != map_var.end()) os << ","; itr--; } return os; } template ostream& operator << (ostream& os, set& set_var) { for(typename set::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--; } return os; } template ostream& operator << (ostream& os, multiset& set_var) { for(typename multiset::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--; } return os; } template void outa(T a[], ll s, ll t){ for(ll i = s; i <= t; i++){ cout << a[i]; if(i < t) cout << " ";} cout << endl; } void dump_func() {cout << endl;} template void dump_func(Head &&head, Tail &&... tail) { cout << head; if(sizeof...(Tail) > 0) cout << " "; dump_func(std::move(tail)...); } struct Dinic{ struct edge{ llint to, cap, rev; edge(llint a, llint b, llint c){ to = a, cap = b, rev = c; } }; int n; vector > G; vector level, iter; Dinic(){} Dinic(int n){ this->n = n; G.resize(n+1); level.resize(n+1); iter.resize(n+1); } void init(){ for(int i = 0; i <= n; i++) G[i].clear(); } void add_edge(int s, int t, llint cap) { G[s].push_back(edge(t, cap, G[t].size())); G[t].push_back(edge(s, 0, G[s].size()-1)); } void bfs(int s) { for(int i = 0; i <= n; i++) level[i] = inf; level[s] = 0; queue Q; Q.push(s); while(Q.size()){ int v = Q.front(); Q.pop(); for(int i = 0; i < G[v].size(); i++){ int u = G[v][i].to; if(G[v][i].cap <= 0 || level[u] < inf) continue; level[u] = level[v] + 1; Q.push(u); } } } llint dfs(int v, llint f, int t) { if(v == t) return f; llint ret; for(llint &i = iter[v]; i < G[v].size(); i++){ if(level[v] >= level[G[v][i].to] || G[v][i].cap <= 0) continue; ret = dfs(G[v][i].to, min(f, G[v][i].cap), t); if(ret > 0){ G[v][i].cap -= ret; G[G[v][i].to][G[v][i].rev].cap += ret; return ret; } } return 0; } llint calc(int s, int t) { llint ret = 0, flow; while(1){ bfs(s); if(level[t] >= inf) break; for(int i = 0; i <= n; i++) iter[i] = 0; while(1){ flow = dfs(s, inf, t); if(flow <= 0) break; ret += flow; } } return ret; } }; ll n; vector G[100005]; ll color[100005]; Dinic dc(100005); void dfs(int v, int p, int c) { color[v] = c; for(auto u : G[v]){ if(u == p) continue; dfs(u, v, -c); } } int main(void) { ios::sync_with_stdio(0); cin.tie(0); cin >> n; ll u, v; rep(i, 1, n-1){ cin >> u >> v; G[u].push_back(v); G[v].push_back(u); } dfs(1, -1, 1); ll S = n+1, T = n+2; rep(i, 1, n){ if(color[i] > 0){ dc.add_edge(S, i, 1); for(auto u : G[i]) dc.add_edge(i, u, inf); } else dc.add_edge(i, T, 1); } outl(dc.calc(S, T)); return 0; }