#include "friend.h"
#include <iostream>
#include <vector>
#include <algorithm>
#include <cassert>
#define debug(x) #x << " = " << x << '\n'
using ll = long long;
// Find out best sample
int findSample(int n, int a[], int parent[], int type[]){
std::vector<std::vector<int>> g(n);
std::vector<int> who(n);
std::vector<int> hater(n, 0);
std::vector<int> chill(n, 0);
who[0] = 0;
chill[0] = a[0];
for (int i = 1; i < n; i++) {
if (type[i] == 0) { // I am your friend
g[who[parent[i]]].push_back(i);
who[i] = i;
chill[who[i]] += a[i];
} else if (type[i] == 1) { // My friend are your friends
who[i] = who[parent[i]];
chill[who[i]] += a[i];
} else { // We are your friends
who[i] = who[parent[i]];
hater[who[i]] = std::max(hater[who[i]], a[i]);
}
}
std::vector<std::vector<int>> dp(n, std::vector<int>(2, 0));
auto dfs = [&](auto &&self, int u) -> void {
dp[u][0] = 0;
dp[u][1] = std::max(chill[u], hater[u]);
for (int v : g[u]) {
self(self, v);
dp[u][1] += dp[v][0];
dp[u][0] += std::max(dp[v][0], dp[v][1]);
}
};
dfs(dfs, 0);
return std::max(dp[0][0], dp[0][1]);
}
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