#include "beechtree.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> beechtree(int N, int M, vector<int> P, vector<int> C) {
vector<int> ret(N);
vector<vector<int>> child(N);
for (int i = 1; i < N; i++) child[P[i]].push_back(i);
for (int i = 0; i < N; i++) {
map<int, vector<int>> P_C;
stack<int> dt;
dt.push(i);
while (!dt.empty()) {
int u = dt.top();
dt.pop();
if (u != i) P_C[P[u]].push_back(C[u]);
for (int v : child[u]) dt.push(v);
}
bool can = true;
vector<tuple<int, int, vector<int>>> sz_PC;
for (auto [p, c] : P_C) {
sort(c.begin(), c.end());
for (int j = 0; j < (int)c.size()-1; j++) {
if (c[j] == c[j+1]) can = false;
}
sz_PC.emplace_back(c.size(), p, c);
}
if (!can) {
ret[i] = can;
continue;
}
sort(sz_PC.begin(), sz_PC.end());
reverse(sz_PC.begin(), sz_PC.end());
map<int, int> cnt;
int cur = 0;
for (auto [sz, p, c] : sz_PC) {
for (int j : c) {
if (cnt[j] < cur) can = false;
cnt[j]++;
}
cur++;
}
ret[i] = can;
}
return ret;
}
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