搜索与图论:树的重心
- 题目描述
- 参考代码
题目描述
输入样例
9
1 2
1 7
1 4
2 8
2 5
4 3
3 9
4 6
输出样例
4
参考代码
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 100010, M = N * 2;
int n, m;
int h[N], e[M], ne[M], idx;
bool st[N];
int ans = 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
int dfs(int u)
{
st[u] = true; // 标记一下,已经被搜过了
int sum = 1, res = 0;
for (int i = h[u]; i != -1; i = ne[i])
{
int j = e[i];
if (!st[j])
{
int s = dfs(j);
res = max(res, s);
sum += s;
}
}
res = max(res, n - sum);
ans = min(ans, res);
return sum;
}
int main()
{
cin >> n >> m;
memset(h, -1, sizeof h);
for (int i = 0; i < n; i++)
{
int a, b;
cin >> a >> b;
add(a, b), add(b, a);
}
dfs(1);
cout << ans << endl;
return 0;
}