#include "tree.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
#define big(x) ((int)(x.size()))
using namespace std;
const int MOD = 1e9+7, LIM = 1e6+1, inf = 2e9,N = 2e5+1;
int n;
vector<int> p, w;
vi edges[N];
pii dp[N];
int L,R;
void dfs(int node){
dp[node] = {0,0};
for (auto it : edges[node]) {
dfs(it);
dp[node].ff+=dp[it].ff;
dp[node].ss+=dp[it].ss;
}
if (dp[node].ss > R) {
dp[node].ff+=w[node]*abs(dp[node].ss-R);
dp[node].ss = R;
}else if (dp[node].ss < L) dp[node].ff+=w[node]*abs(L-dp[node].ss),dp[node].ss = L;
}
void init(vector<signed> P, vector<signed> W) {
p = vi(all(P));
w = vi(all(W));
n = (int)p.size();
for (int i=1;i<n;i++) {
edges[p[i]].push_back(i);
}
}
long long query(signed l, signed r) {
L = l,R = r;
dfs(0);
return dp[0].ff;
}
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