// Problem: E. Equal Tree Sums
// Contest: Codeforces - CodeTON Round 1 (Div. 1 + Div. 2, Rated, Prizes!)
// URL: https://codeforces.com/contest/1656/problem/E
// Memory Limit: 256 MB
// Time Limit: 1000 ms
// 2022-03-25 11:34:25
//
// Powered by CP Editor (https://cpeditor.org)

#include<bits/stdc++.h>
using namespace std;

#define rep(i,l,r) for(int i=(l);i<=(r);i++)
#define per(i,l,r) for(int i=(l);i>=(r);i--)
#define ll long long
#define mset(s,t) memset(s,t,sizeof(t))
#define mcpy(s,t) memcpy(s,t,sizeof(t))
#define fi first
#define se second
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define SZ(x) ((int)(x).size())
#define mp make_pair

typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> Vll;
typedef vector<pair<int, int> > vpii;
typedef vector<pair<ll, ll> > vpll;

const ll mod = 1e9 + 7;
//const ll mod = 998244353;
const double pi = acos(-1.0);

inline ll qmi (ll a, ll b) {
ll ans = 1;
while (b) {
if (b & 1) ans = ans * a%mod;
a = a * a %mod;
b >>= 1;
}
return ans;
}
inline int read () {
int x = 0, f = 0;
char ch = getchar();
while (!isdigit(ch)) f |= (ch=='-'),ch= getchar();
while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar();
return f?-x:x;
}
template<typename T> void print(T x) {
if (x < 0) putchar('-'), x = -x;
if (x >= 10) print(x/10);
putchar(x % 10 + '0');
}
inline ll sub (ll a, ll b) {
return ((a - b ) %mod + mod) %mod;
}
inline ll add (ll a, ll b) {
return (a + b) %mod;
}
inline ll inv (ll a) {
return qmi(a, mod - 2);
}
const int N = 1e5 + 10;
int n;
int ans[N];
vi g[N];
void solve() {
cin >> n;
rep(i, 1, n)
g[i].clear();
for (int i = 1; i <= n-1 ;i ++) {
int a, b;
cin >> a >> b;
g[a].pb(b);
g[b].pb(a);
}
function<void(int,int,int)> cl = [&](int u, int fa, int col) {
ans[u] = col * g[u].size();
for (auto ver : g[u])
if(ver != fa)
cl(ver, u, -col);
};
cl(1, 1,1);
for (int i = 1; i <= n; i ++)
cout << ans[i] << ' ';
}
int main () {
// ios::sync_with_stdio(0),cin.tie(0), cout.tie(0);
int t;
t =1;
cin >> t;
while (t --) solve();
return 0;
}

题意:给定一棵树,对每个节点赋值,要求删除任意一个节点后,连通块的权值和相等

构造方法:黑白染色