This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "dungeons.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, ll>
const int MAX = 5e4 + 5, LOGMAX = 25;
int N;
int S;
struct g{
    pii par[LOGMAX][MAX];
    void init(){
        for (int j = 1; j < LOGMAX; j++)
        {
            for (int i = 0; i <= N; i++)
            {
                int m = par[j - 1][i].first;
                par[j][i].first = par[j - 1][m].first;
                par[j][i].second = par[j - 1][i].second + par[j - 1][m].second;
            }
        }
    }
    pii lift(int u, int s){
        ll curs = s;
        int v = u;
        for (int j = LOGMAX - 1; j >= 0; j--)
        {
            if(curs + par[j][v].second < S){
                curs += par[j][v].second;
                v = par[j][v].first;
            }
        }
        return make_pair(par[0][v].first, par[0][v].second + curs);
    }
};
g G[2];
void init(int n, vector<int> s, vector<int> p, vector<int> w, vector<int> l) {
    N = n;
    S = s[0];
	for (int i = 0; i < n; i++)
    {
        G[0].par[0][i] = {l[i], p[i]};
        G[1].par[0][i] = {w[i], S};
    }
    G[0].par[0][n] = {n, 0};
    G[1].par[0][n] = {n, 0};
    
    G[0].init();
    G[1].init();
}
ll simulate(int x, int z) {
	pii a = G[0].lift(x, z);
    return a.second + G[1].par[LOGMAX - 1][a.first].second; 
}
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