Submission #1143717

#TimeUsernameProblemLanguageResultExecution timeMemory
1143717MuhammetBalanced Tree (info1cup18_balancedtree)C++20
13 / 100
50 ms4420 KiB
#include "bits/stdc++.h"

using namespace std;

#define SZ(s) (int)s.size()

const int N = 2e5 + 5;

int n, dp[5][N], a[N];

vector <vector <int>> v;

void f(int x, int y){
	vector <int> v1, v0;
	for(auto i : v[x]){
		if(i == y) continue;
		f(i, x);
		v0.push_back((!a[i] ? 0 : dp[0][i]) + 1), v1.push_back((a[i] ? 0 : dp[1][i]) + 1);
	}
	sort(v1.rbegin(), v1.rend()), sort(v0.rbegin(), v0.rend());
	if(SZ(v1)) dp[1][x] = v1.back(), v1.pop_back();
	if(SZ(v1)) dp[3][x] = v1.back(), v1.pop_back();
	if(SZ(v0)) dp[0][x] = v0.back(), v0.pop_back();
	if(SZ(v0)) dp[2][x] = v0.back(), v0.pop_back();
}

void f1(int x, int y){
	if(dp[0][y] == (!a[x] ? 0 : dp[0][x]) + 1) {
		if(dp[2][y] + 1 <= dp[0][x]) dp[2][x] = dp[0][x];
		else dp[2][x] = min(dp[2][x], dp[2][y] + 1);
		dp[0][x] = min(dp[2][y] + 1, dp[0][x]);
	}
	else {
		if(dp[0][y] + 1 <= dp[0][x]) dp[2][x] = dp[0][x];
		else dp[2][x] = min(dp[2][x], dp[0][y] + 1);
		dp[0][x] = min(dp[0][x], dp[0][y] + 1);
	}
	if(a[y] == 0) dp[2][x] = dp[0][x], dp[0][x] = 1;
	if(dp[1][y] == (a[x] ? 0 : dp[1][x]) + 1) {
		if(dp[3][y] + 1 <= dp[1][x]) dp[3][x] = dp[1][x];
		else dp[3][x] = min(dp[3][x], dp[3][y] + 1);
		dp[1][x] = min(dp[3][y] + 1, dp[1][x]);
	}
	else {
		if(dp[1][y] + 1 <= dp[1][x]) dp[3][x] = dp[1][x];
		else dp[3][x] = min(dp[3][x], dp[1][y] + 1);
		dp[1][x] = min(dp[1][x], dp[1][y] + 1);
	}
	if(a[y] == 1) dp[3][x] = dp[1][x], dp[1][x] = 1;
	for(auto i : v[x]){
		if(i == y) continue;
		f1(i, x);
	}
}

void solve(){
	cin >> n;
	v.clear();
	v.resize(n+1);
	for(int i = 1; i < n; i++){
		int u1, u2;
		cin >> u1 >> u2;
		v[u1].push_back(u2);
		v[u2].push_back(u1);
	}

	dp[0][0] = dp[1][0] = dp[2][0] = dp[3][0] = 1e8;
	a[0] = 1e8;
	for(int i = 1; i <= n; i++){
		cin >> a[i];
		dp[1][i] = dp[2][i] = dp[3][i] = dp[0][i] = 1e8;
	}

	f(1, 0);
	f1(1, 0);

	int ans = 0, cnt0 = 0, cnt1 = 0;
	for(int i = 1; i <= n; i++){
		if(a[i]){
			cnt1++;
			ans = max(ans, dp[1][i]);
		}
		else {
			cnt0++;
			ans = max(ans, dp[0][i]);
		}
	}
	if(cnt1 == 1 or cnt0 == 1){
		cout << -1 << '\n';
		return;
	}
	cout << ans << '\n';
	for(int i = 1; i <= n; i++){
		cout << a[i] << ' ';
	}
	cout << '\n';
}

int main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);

	int T;
	cin >> T;
	while(T--) solve();

	return 0;
}
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