#include "dungeons.h"
#include <vector>
constexpr int maxn = 4e5+10, logn = 24, log_lift = 8, base_lift = 8;
constexpr long long inf = 0x3f3f3f3f3f3f3;
struct FunctionalGraph {
int f[maxn][log_lift], mn[maxn][log_lift];
long long tab[maxn][log_lift];
long long cost[maxn][log_lift];
void add_i(const int& i, const int& x, const int& v, const long long& st) { f[i][0] = x, cost[i][0] = v, mn[i][0] = i, tab[i][0] = st; }
void build(int n) {
f[n][0] = n;
cost[n][0] = 0;
mn[n][0] = n;
for(int l = 1; l < log_lift; l++) {
for(int i = 0; i <= n; i++) {
f[i][l] = i;
tab[i][l] = tab[i][l-1];
mn[i][l] = mn[i][l-1];
for(int k = 0; k < base_lift; k++) {
if(tab[i][l] > tab[f[i][l]][l-1] - cost[i][l]) {
mn[i][l] = mn[f[i][l]][l-1];
tab[i][l] = tab[f[i][l]][l-1] - cost[i][l];
}
cost[i][l] += cost[f[i][l]][l-1];
f[i][l] = f[f[i][l]][l-1];
}
}
}
}
void go(int& x, long long& val) {
if(val >= tab[x][0]) return;
for(int l = log_lift-1; l >= 0; l--)
for(int k = 0; k < base_lift-1; k++)
if(tab[x][l] > val) val += cost[x][l], x = f[x][l];
}
} graph[logn];
void init(int n, std::vector<int> s, std::vector<int> p, std::vector<int> w, std::vector<int> l) {
for(int lg = 0; lg < logn; lg++) {
for(int i = 0; i < n; i++) {
if(s[i] <= (1<<lg)) graph[lg].add_i(i, w[i], s[i], inf);
else graph[lg].add_i(i, l[i], p[i], s[i]);
}
graph[lg].build(n);
}
return;
}
long long simulate(int x, int z) {
long long val = z;
for(int lg = 0; lg < logn; lg++)
graph[lg].go(x, val);
return val;
}
