Balancing Act 树的重心

Balancing Act

#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <queue>
#include <map>
#include <sstream>
#include <cstdio>
#include <cstring>
#include <numeric>
#include <cmath>
#include <iomanip>
#include <deque>
#include <bitset>
#include <cassert>
//#include <unordered_set>
//#include <unordered_map>
#define ll              long long
#define pii             pair<int, int>
#define rep(i,a,b)      for(int  i=a;i<=b;i++)
#define dec(i,a,b)      for(int  i=a;i>=b;i--)
#define forn(i, n)      for(int i = 0; i < int(n); i++)
using namespace std;
int dir[4][2] = { { 1,0 },{ 0,1 } ,{ 0,-1 },{ -1,0 } };
const long long INF = 0x7f7f7f7f7f7f7f7f;
const int inf = 0x3f3f3f3f;
const double pi = acos(-1.0);
const double eps = 1e-6;
const int mod = 1e9 + 7;

inline ll read()
{
    ll x = 0; bool f = true; char c = getchar();
    while (c < '0' || c > '9') { if (c == '-') f = false; c = getchar(); }
    while (c >= '0' && c <= '9') x = (x << 1) + (x << 3) + (c ^ 48), c = getchar();
    return f ? x : -x;
}
inline ll gcd(ll m, ll n)
{
    return n == 0 ? m : gcd(n, m % n);
}
void exgcd(ll A, ll B, ll& x, ll& y)
{
    if (B) exgcd(B, A % B, y, x), y -= A / B * x; else x = 1, y = 0;
}
inline int qpow(int x, ll n) {
    int r = 1;
    while (n > 0) {
        if (n & 1) r = 1ll * r * x % mod;
        n >>= 1; x = 1ll * x * x % mod;
    }
    return r;
}
inline int inv(int x) {
    return qpow(x, mod - 2);
}
ll lcm(ll a, ll b)
{
    return a * b / gcd(a, b);
}
/**********************************************************/
const int N = 2e4 + 5;
int sz[N],wt[N];
int n, rt;
void getcentroid(int x, int fa,vector<vector<int> >& g)
{
    sz[x] = 1;
    wt[x] = 0;
    for (int i = 0; i < g[x].size(); i++)
    {
        int to = g[x][i];
        if (to != fa)
        {
            getcentroid(to, x, g);
            sz[x] += sz[to];
            wt[x] = max(wt[x], sz[to]);
        }
    }
    wt[x] = max(wt[x], n - sz[x]);
    if (rt == 0 || wt[x] < wt[rt])//rt是重心编号
        rt = x;
}

int main() {
    //ios::sync_with_stdio(false);cin.tie(0); cout.tie(0);
    int T;
    cin >> T;
    while (T--)
    {
        memset(wt, 0, sizeof(wt));
        memset(sz, 0, sizeof(sz));
        cin >> n;
        rt = 0;
        vector<vector<int> > g(n + 1);
        rep(i, 1, n - 1)
        {
            int u, v;
            scanf("%d%d", &u ,& v);
            g[u].push_back(v);
            g[v].push_back(u);
        }
        getcentroid(1, -1, g);
        printf("%d %d
", rt, wt[rt]);
    }
}