#include #include #include #include #include using namespace std; int main() { int N; cin >> N; vector> G(N); for (int i = 0; i < N - 1; ++i) { int a, b; cin >> a >> b; G[a - 1].push_back(b - 1); G[b - 1].push_back(a - 1); } vector> dp1(N, vector()); vector> dp2(N, vector()); vector> c(N, vector(2, 0)); vector dist(N, -1); dist[0] = 0; deque S; S.push_back(0); while (!S.empty()) { int x = S.back(); S.pop_back(); for (int y : G[x]) { if (dist[y] >= 0) continue; dist[y] = dist[x] + 1; S.push_back(y); } } vector> L; for (int i = 0; i < N; ++i) { L.push_back(make_pair(dist[i], i)); } sort(L.rbegin(), L.rend()); for (int i = 0; i < N; ++i) { int x = L[i].second; int k1 = 0, k2 = 1; vector u1(G[x].size(), 0), u2(G[x].size(), 0); for (int j = 0; j < G[x].size(); ++j) { int y = G[x][j]; if (dist[y] < dist[x]) continue; u1[j] = c[y][0]; u2[j] = max(c[y][0], c[y][1]); k1 += u2[j]; k2 += u1[j]; } dp1[x] = u1; dp2[x] = u2; c[x][0] = k1; c[x][1] = k2; } S.push_back(0); vector> T(N); for (int i = 0; i < N; ++i) { for (int j = 0; j < G[i].size(); ++j) { T[i][G[i][j]] = j; } } while (!S.empty()) { int x = S.back(); S.pop_back(); vector l1(G[x].size(), 0), r1(G[x].size(), 0), l2(G[x].size(), 0), r2(G[x].size(), 0); for (int j = 0; j < G[x].size(); ++j) { l1[j] = dp1[x][j]; l2[j] = dp2[x][j]; r1[j] = dp1[x][j]; r2[j] = dp2[x][j]; } for (int j = 1; j < G[x].size(); ++j) { l1[j] += l1[j - 1]; l2[j] += l2[j - 1]; } for (int j = G[x].size() - 2; j >= 0; --j) { r1[j] += r1[j + 1]; r2[j] += r2[j + 1]; } for (int j = 0; j < G[x].size(); ++j) { int y = G[x][j]; if (dist[y] < dist[x]) continue; int w1 = 0, w2 = 1; if (j > 0) { w1 += l2[j - 1]; w2 += l1[j - 1]; } if (j < G[x].size() - 1) { w1 += r2[j + 1]; w2 += r1[j + 1]; } int pos = T[y][x]; dp1[y][pos] = w1; dp2[y][pos] = max(w2, w1); S.push_back(y); } } int result = 1e8; for (int i = 0; i < N; ++i) { int ans = 1; for (int val : dp1[i]) { ans += val; } result = min(result, ans); } cout << result << endl; return 0; }