#include "friend.h"
#include <bits/stdc++.h>
using namespace std;
using pii = pair<int, int>;
const int MN = 1e5 + 1, inf = 0x3f3f3f3f;
int dp[MN][2], val[MN];
struct Edge{ int to, t; };
vector<Edge> adj[MN];
void dfs(int v){
vector<pii> vec = {{0, 0}};
for (auto [to, t] : adj[v]){
dfs(to);
if (t == 1 || t == 2){
if (t == 1){
val[v] += dp[to][1];
}
pii res = {vec[0].first, vec[0].second};
vec.erase(vec.begin());
for (auto [a, b] : vec){
res.first += a;
res.second += max(a, b);
}
res.first += dp[to][0];
res.second = max(res.second, dp[to][1]);
vec = {res};
}
else{
vec.push_back({dp[to][0], dp[to][1]});
}
}
int tota = vec[0].first;
dp[v][0] = vec[0].first;
dp[v][1] = max(vec[0].first, vec[0].second);
vec.erase(vec.begin());
for (auto [a, b] : vec){
tota += a;
dp[v][0] += max(a, b);
dp[v][1] += max(a, b);
}
dp[v][1] = max(dp[v][1], tota + val[v]);
}
int findSample(int n, int confidence[], int host[], int protocol[]){
for (int i = 0; i < n; ++i) val[i] = confidence[i];
for (int i = 1; i < n; ++i){
adj[host[i]].push_back({i, protocol[i]});
}
dfs(0);
// for (int i = 0; i < n; ++i) cout << i << ": " << dp[i][0] << " " << dp[i][1] << '\n';
return max(dp[0][0], dp[0][1]);
}
