题目链接:树的重心
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 100010, M = N * 2;
int n;
int h[N], e[M], ne[M], idx;
int ans = N;
bool st[N];
void add(int a, int b)
{
e[idx] = b, ne[idx] = h[a], h[a] = idx ++;
}
// 以u为根的子树中点的数量(包含u)
int dfs(int u)
{
// 记录当前点已经查找过了
st[u] = true;
int sum = 0, size = 0;
for(int i = h[u]; i != -1; i = ne[i])
{
int j = e[i];
if(!st[j])
{
int s = dfs(j);
size = max(size, s);
sum += s;
}
}
size = max(size, n - sum - 1);
ans = min(size, ans);
return sum + 1;
}
int main()
{
cin >> n;
memset(h, -1, sizeof h);
for(int i = 0; i < n -1; i++)
{
int a, b;
cin >> a >> b;
add(a, b), add(b, a);
}
dfs(1);
cout << ans << endl;
return 0;
}