#include "beechtree.h"
#include <bits/stdc++.h>
#define endl "\n"
#define ll long long
using namespace std;
const ll N = 2e5 + 5;
vector<ll> g[N];
vector<int> ans;
ll c[N], p[N];
ll last[N], ptr[N], sub[N];
bool ok[N];
void dfs(ll v)
{
sub[v] = 1;
ok[v] = 1;
for (ll to : g[v])
dfs(to), sub[v] += sub[to], ok[v] &= ok[to];
set<ll> s;
for (ll to : g[v]) s.insert(c[to]);
ok[v] &= s.size() == g[v].size();
}
vector<int> beechtree(int n, int m, vector<int> P, vector<int> C)
{
for (ll i = 1; i <= n; i++)
p[i] = P[i - 1] + 1, c[i] = C[i - 1];
for (ll i = 2; i <= n; i++)
g[p[i]].push_back(i);
{
vector<ll> b;
for (ll i = 1; i <= n; i++)
b.push_back(c[i]);
sort(b.begin(), b.end());
b.resize(unique(b.begin(), b.end()) - b.begin());
for (ll i = 1; i <= n; i++)
c[i] = lower_bound(b.begin(), b.end(), c[i]) - b.begin();
m = b.size() - 1;
}
dfs(1);
for (ll i = 1; i <= n; i++)
{
if (!ok[i])
{
ans.push_back(0);
continue;
}
if (g[i].size() <= 1) ans.push_back(1);
else
{
ll cnt = 0;
for (ll to : g[i]) cnt += g[to].size() > 0;
if (cnt > 1)
ans.push_back(0);
else if (cnt == 0)
ans.push_back(1);
else
{
for (ll to : g[i]) if (g[to].size())
{
set<ll> s, s1;
for (ll to : g[i]) s.insert(c[to]);
for (ll x : g[to]) s1.insert(c[x]);
bool ok = true;
for (ll i : s1) ok &= s.count(i);
ok &= g[to].size() + 1 == sub[to];
ans.push_back(ok);
}
}
}
}
return ans;
}
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