/**
____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|
**/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N_MAX = 50000;
const int N_QITS = 20;
const int S_BITS = 25;
int N;
int strength[N_MAX];
int winBonus[N_MAX];
int loseBonus[N_MAX];
int winEdge[N_MAX];
int loseEdge[N_MAX];
struct Jump {
int last;
ll bonus;
ll maxDiff;
// maximum (bonus - strength) at some moment when we lost
};
Jump operator + (const Jump &j1, const Jump &j2) {
return Jump{j2.last, j1.bonus + j2.bonus, max(j1.maxDiff, j1.bonus + j2.maxDiff)};
}
Jump jump[N_MAX + 1][S_BITS][N_QITS];
void init (int _N, vector <int> _S, vector <int> _P, vector <int> _W, vector <int> _L) {
// Transfer input to global
N = _N;
for (int u = 0; u < N; u++) {
strength[u] = _S[u];
winBonus[u] = _S[u];
loseBonus[u] = _P[u];
winEdge[u] = _W[u];
loseEdge[u] = _L[u];
}
// Precompute jumps
for (int sbit = 0; sbit < S_BITS; sbit++) {
for (int nqit = 0; nqit < N_QITS; nqit++) {
jump[N][sbit][nqit] = Jump{N, 0, LLONG_MIN};
}
}
for (int u = 0; u < N; u++) {
for (int sbit = 0; sbit < S_BITS; sbit++) {
if ((1 << sbit) > strength[u]) {
jump[u][sbit][0] = Jump{winEdge[u], winBonus[u], LLONG_MIN};
} else {
jump[u][sbit][0] = Jump{loseEdge[u], loseBonus[u], 0 - strength[u]};
}
}
}
for (int nqit = 1; nqit < N_QITS; nqit++) {
for (int u = 0; u < N; u++) {
for (int sbit = 0; sbit < S_BITS; sbit++) {
Jump j = jump[u][sbit][nqit - 1];
j = j + jump[j.last][sbit][nqit - 1];
j = j + jump[j.last][sbit][nqit - 1];
j = j + jump[j.last][sbit][nqit - 1];
jump[u][sbit][nqit] = j;
}
}
}
}
ll simulate (int u, int initStrength) {
ll currStrength = initStrength;
while (true) {
for (int nqit = N_QITS - 1; nqit >= 0; nqit--) {
int sbit = (currStrength < (1 << S_BITS) ? 31 - __builtin_clz(currStrength) : S_BITS - 1);
Jump j = jump[u][sbit][nqit];
while (u < N && currStrength + j.maxDiff < 0) {
u = j.last;
currStrength += j.bonus;
j = jump[u][sbit][nqit];
}
}
if (u == N) {
break;
}
if (currStrength >= strength[u]) {
currStrength += winBonus[u];
u = winEdge[u];
} else {
currStrength += loseBonus[u];
u = loseEdge[u];
}
}
return currStrength;
}
