#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include // cout, endl, cin #include // string, to_string, stoi #include // vector #include // min, max, swap, sort, reverse, lower_bound, upper_bound #include // pair, make_pair #include // tuple, make_tuple #include // int64_t, int*_t #include // printf #include // map #include // queue, priority_queue #include // set #include // stack #include // deque #include // unordered_map #include // unordered_set #include // bitset #include // isupper, islower, isdigit, toupper, tolower #include #include #include using namespace std; using namespace atcoder; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repi(i, a, b) for (int i = (int)(a); i < (int)(b); i++) typedef long long ll; typedef unsigned long long ull; const ll inf=1e18; using graph = vector > ; using P= pair; using vi=vector; using vvi=vector; using vll=vector; using vvll=vector; using vp=vector

; using vvp=vector; using vd=vector; using vvd =vector; //string T="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; //string S="abcdefghijklmnopqrstuvwxyz"; //g++ main.cpp -std=c++17 -I . //cout < bool chmin(T& a, T b) { if (a > b) { a = b; return true; } else return false; } template bool chmax(T& a, T b) { if (a < b) { a = b; return true; } else return false; } // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division ll mod =998244353; //ll mod =1e9+7; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, const mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} // combination mod prime // https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619 struct combination { vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { //assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; if (n<0) return 0; return fact[n]*ifact[k]*ifact[n-k]; } mint p(int n, int k) { return fact[n]*ifact[n-k]; } } c(2000000); using vm=vector ; using vvm=vector ; struct edge{ int to; ll cost; edge(int to,ll cost) : to(to),cost(cost){} }; using ve=vector; using vve=vector; pair getDiameter(vve g){ int n=g.size(); vi pre(n,-1); ll L=-1; auto f=[&](int s){ rep(i,n)pre[i]=-1; vll dist(n, inf); priority_queue, greater

> q; dist[s] = 0; q.push(P(dist[s], s)); while (!q.empty()){ int v = q.top().second; ll d = q.top().first; q.pop(); if(dist[v] < d)continue; for (auto u : g[v]){ if (chmin(dist[u.to], dist[v] + u.cost)){ pre[u.to]=v; q.push(P(dist[u.to], u.to)); } } } ll maxv=-1; int id=-1; rep(i,n)if(chmax(maxv,dist[i]))id=i; L=maxv; return id; }; int st=f(0); int gt=f(st); vi vs; int now=gt; while(now!=-1){ vs.push_back(now); now=pre[now]; } return make_pair(L,vs); } const int N=100005; int dp[N][2][2]; void solve(int test){ int n; cin >> n; vve g(n); rep(i,n-1){ int a,b; cin >> a >> b;a--;b--; g[a].push_back(edge(b,1)); g[b].push_back(edge(a,1)); } auto xx=getDiameter(g); int L=xx.first; vi vs=xx.second; // vvi dp(n,vi(2)); auto dfs=[&](auto dfs,int v,int p,int i)->void{ priority_queue q; for(auto u:g[v]){ if(u.to==p)continue; dfs(dfs,u.to,v,i); q.push(dp[u.to][i][0]+1); chmax(dp[v][i][1],dp[u.to][i][1]); } int now=0; rep(j,2)if(q.size()){ now+=q.top(); chmax(dp[v][i][j],now); q.pop(); } chmax(dp[v][i][1],dp[v][i][0]); }; dfs(dfs,vs[0],-1,0); dfs(dfs,vs.back(),-1,1); // rep(i,n)cout << i+1 << " " << dp[i][0] << endl; int ans=L; for(int i=1; i<=L; i++){ int l1=i-1; int l2=(L+1-i)-1; int now=max(dp[vs[i-1]][0][1],dp[vs[i]][1][1]); chmax(now,1+(l1+1)/2+(l2+1)/2); chmin(ans,now); } cout << ans << endl; } //g++ main.cpp -std=c++17 -I . int main(){cin.tie(0);ios::sync_with_stdio(false); int t=1;// cin >> t; rep(test,t)solve(test); }