#include <bits/stdc++.h>
#include "dungeons.h"
using namespace std;
typedef long long ll;
ll n;
vector<int> p, w, l;
ll s;
vector<vector<pair<ll, ll>>> jmp;
vector<ll> dp;
void init(int n1, vector<int> s1, vector<int> p1, vector<int> w1, vector<int> l1) {
n = n1; s = s1[0]; p = p1; w = w1; l = l1;
jmp = vector<vector<pair<ll, ll>>>(n, vector<pair<ll, ll>>(30));
for (int i = 0; i < n; i++) {
jmp[i][0] = {p[i], l[i]};
if (jmp[i][0].second == n) jmp[i][0].first = 1ll << 31ll;
}
for (int j = 1; j < 30; j++) {
for (int i = 0; i < n; i++) {
if (jmp[i][j-1].second == n) {
jmp[i][j] = {1ll << 31ll, n};
continue;
}
if (jmp[jmp[i][j-1].second][j-1].second == n) {
jmp[i][j] = {1ll << 31ll, n};
continue;
}
jmp[i][j] = {jmp[jmp[i][j-1].second][j-1].first + jmp[i][j-1].first,
jmp[jmp[i][j-1].second][j-1].second};
}
}
dp = vector<ll>(n+1);
dp[n] = 0;
for (int i = n-1; i >= 0; i--) {
dp[i] = s + dp[w[i]];
}
}
ll simulate(int x1, int z1) {
ll i = x1, z = z1;
if (i == n || z >= s) return z + dp[i];
for (int j = 30-1; j >= 0; j--) {
if (z + jmp[i][j].first < s) {
z += jmp[i][j].first;
i = jmp[i][j].second;
}
}
while (z < s) {
z += p[i];
i = l[i];
}
z += dp[i];
return z;
}
