/* -*- coding: utf-8 -*- * * 3514.cc: No.3514 Majority Driven Tree - yukicoder */ #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int INF = 1 << 30; /* typedef */ using vi = vector; /* global variables */ vi nbrs[MAX_N], dvs[MAX_N]; int ps[MAX_N], cis[MAX_N], ss1[MAX_N], dss[MAX_N]; int dp0[MAX_N], dp1[MAX_N]; /* subroutines */ /* main */ int main() { int n; scanf("%d", &n); for (int i = 1; i < n; i++) { int u, v; scanf("%d%d", &u, &v); u--, v--; nbrs[u].push_back(v); nbrs[v].push_back(u); } ps[0] = -1; for (int u = 0; u >= 0;) { auto &nbru = nbrs[u]; int up = ps[u]; if (cis[u] < nbru.size()) { int v = nbru[cis[u]++]; if (v != up) { ps[v] = u; u = v; } } else { auto &dvu = dvs[u]; int cn = dvu.size(); sort(dvu.begin(), dvu.end()); for (int i = 0; i < cn; i++) dss[i + 1] = dss[i] + dvu[i]; int l = (int)nbru.size() / 2 + 1; dp0[u] = min(1 + ss1[u], (l <= cn) ? dss[l] + ss1[u] : INF); dp1[u] = dss[l - 1] + ss1[u]; if (up >= 0) { ss1[up] += dp1[u]; dvs[up].push_back(dp0[u] - dp1[u]); } u = up; } } printf("%d\n", dp0[0]); return 0; }