求解树的重心
#include <bits/stdc++.h>
#define io cin.tie(0), cout.tie(0), ios::sync_with_stdio(false)
#define LL long long
#define ULL unsigned long long
#define EPS 1e-8
#define INF 0x7fffffff
#define SUB -INF - 1
using namespace std;
const int N = 50005;
struct edge
{
int to, next;
} edge[N << 1];
int head[N], cnt = 0;
void init()
{
for (int i = 0; i < N; i++)
{
edge[i].next = -1;
head[i] = -1;
}
cnt = 0;
}
void addedge(int u, int v)
{
edge[cnt].to = v;
edge[cnt].next = head[u];
head[u] = cnt++;
}
int n;
int d[N], ans[N], num = 0, maxnum = INF;
void dfs(int u, int fa)
{
d[u] = 1;
int tmp = 0;
for (int i = head[u]; ~i; i = edge[i].next)
{
int v = edge[i].to;
if (v == fa)
continue;
dfs(v, u);
d[u] += d[v];
tmp = max(tmp, d[v]);
}
tmp = max(tmp, n - d[u]);
if (tmp < maxnum)
{
maxnum = tmp;
num = 0;
ans[++num] = u;
}
else if (tmp == maxnum)
ans[++num] = u;
}
int main()
{
scanf("%d", &n);
init();
for (int i = 1; i < n; i++)
{
int u, v;
scanf("%d%d", &u, &v);
addedge(u, v);
addedge(v, u);
}
dfs(1, 0);
sort(ans + 1, ans + 1 + num);
for (int i = 1; i <= num; i++)
printf("%d ", ans[i]);
return 0;
}