#include "dungeons.h"
#include <assert.h>
#include <vector>
using namespace std;
using ll = long long;
const ll inf = 1e18;
const int N = 400'005;
const int LOGN = 25;
const int LOGK = 9;
int wh[LOGK][LOGN][N];
ll sf[LOGK][LOGN][N];
ll nd[LOGK][LOGN][N];
int s[N];
int p[N];
int w[N];
int l[N];
int n;
void init(int n_, vector<int>s_, vector<int>p_, vector<int>w_, vector<int>l_) {
n = n_;
s_.emplace_back(0), p_.emplace_back(0), w_.emplace_back(n), l_.emplace_back(n);
for (int i = 0 ; i <= n ; ++ i) {
s[i] = s_[i], p[i] = p_[i], w[i] = w_[i], l[i] = l_[i];
}
for (int k = 1 ; k < LOGK ; ++ k) {
for (int v = 0 ; v <= n ; ++ v) {
int i = 0;
if (s[v] < (1ll << (ll)(k*3))) {
wh[k][i][v] = w[v];
sf[k][i][v] = s[v];
nd[k][i][v] = inf;
} else {
wh[k][i][v] = l[v];
sf[k][i][v] = p[v];
nd[k][i][v] = s[v];
}
}
for (int i = 0 ; i+1 < LOGN ; ++ i) {
for (int v = 0 ; v <= n ; ++ v) {
int t = wh[k][i][v];
wh[k][i+1][v] = wh[k][i][t];
sf[k][i+1][v] = sf[k][i][v] + sf[k][i][t];
nd[k][i+1][v] = min(nd[k][i][v], nd[k][i][t]-sf[k][i][v]);
}
}
}
}
ll simulate(int x, int z_) {
ll z = z_;
int cnt = 0;
ll k = 0;
while (x < n) {
cnt++;
while (k < LOGK - 1 && (1ll << (((ll)k + 1ll)*3)) <= z) ++k;
for (int i = LOGN - 1 ; i >= 0 ; -- i) {
if (nd[k][i][x] > z) {
z += sf[k][i][x];
x = wh[k][i][x];
}
}
if (s[x] <= z) {
z += s[x];
x = w[x];
} else {
z += p[x];
x = l[x];
}
}
return z;
}
