This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
int const N=2e5+5;
vector<int> child[N];
set<int> ch_col[N];
vector<int> ans;
int dep[N];
void dfs(int node){
	ans[node]=1;
	vector<int> ch;
	for(int i:child[node]){
		dfs(i);
		dep[node]=max(dep[i]+1,dep[node]);
		if(dep[i]==1)
			ch.push_back(i);
	}
	if(ch.size()>1 || dep[node]>=2 || child[node].size()!=ch_col[node].size()){
		ans[node]=0;
		return;
	}
	if(ch.size()==0)
		return;
	// if(ans[ch[0]]==0)
	// 	ans[node]=0;
	for(int c:ch_col[ch[0]])
		if(ch_col[node].find(c)==ch_col[node].end())
			ans[node]=0;
	return;
}
vector<int> beechtree(int n, int M, vector<int> P, vector<int> C){
	for (int i = 1; i < n; ++i){
		child[P[i]].push_back(i);
		ch_col[P[i]].insert(C[i]);
	}
	ans.resize(n);
	for (int i = 0; i < n; ++i)
		ans[i]=1;
	dfs(0);
	return ans;
}
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