#include "beechtree.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> beechtree(int n, int m, vector<int> p, vector<int> c) {
vector<vector<int>> adj(n);
for (int i = 1; i < n; i++) {
adj[p[i]].push_back(i);
}
vector<int> ans(n);
vector<int> maxD(n);
vector<set<int>> col(n);
auto dfs = [&](auto &&dfs, int i) -> void {
for (int j: adj[i]) {
dfs(dfs, j);
maxD[i] = max(maxD[i], maxD[j] + 1);
col[j].insert(c[j]);
if (col[j].size() > col[i].size()) swap(col[i], col[j]);
}
for (int j: adj[i]) {
for (int x: col[j]) {
col[i].insert(x);
}
}
if (maxD[i] == 0) {
ans[i] = 1;
}
if ((maxD[i] == 1 || maxD[i] == 2) && adj[i].size() == col[i].size()) {
ans[i] = 1;
}
}; dfs(dfs, 0);
return ans;
}
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