#include <bits/stdc++.h>
#define ll long long
#define sz(x) int(x.size())
#define forn(i, n) for (i = 0; i < n; i++)
#define all(x) x.begin(), x.end()
#define pb push_back
#define mp make_pair
#define fr first
#define se second
using namespace std;
const int MAXN = 5e4 + 1;
const int LOG = 20;
ll ma[MAXN][LOG], up2[MAXN][LOG], sum2[MAXN][LOG];
ll up3[25][MAXN][LOG], sum3[25][MAXN][LOG];
vector<int> S, P, W, L, dif;
int N;
void init(int n, std::vector<int> s, std::vector<int> p, std::vector<int> w, std::vector<int> l)
{
s.pb(0);
p.pb(0);
w.pb(n);
l.pb(n);
ll i, j;
N = n;
S = s;
P = p;
W = w;
L = l;
map<ll, bool> m;
for (i = 0; i < n; i++)
{
if (m[s[i]] == 0)
dif.pb(s[i]);
m[s[i]] = 1;
}
sort(all(dif));
for (i = 0; i <= n; i++)
{
up2[i][0] = w[i];
ma[i][0] = s[i];
sum2[i][0] = s[i];
for (j = 0; j < sz(dif); j++)
{
ll x, y;
if(s[i]<dif[j])
{
x=w[i];
y=s[i];
}
else
{
x=l[i];
y=p[i];
}
up3[j][i][0]=x;
sum3[j][i][0]=y;
}
}
for (i = 1; i < LOG; i++)
{
for (j = 0; j <= n; j++)
{
up2[j][i] = up2[up2[j][i - 1]][i - 1];
sum2[j][i] = sum2[j][i - 1] + sum2[up2[j][i - 1]][i - 1];
ma[j][i] = max(ma[j][i - 1], ma[up2[j][i - 1]][i - 1]);
for (ll k = 0; k < sz(dif); k++)
{
up3[k][j][i]=up3[k][up3[k][j][i-1]][i-1];
sum3[k][j][i]=sum3[k][j][i-1]+sum3[k][up3[k][j][i-1]][i-1];
}
}
}
return;
}
long long simulate(int x, int z)
{
ll act = z, i, ult;
while (x != N)
{
if (1ll * S[x] <= act)
{
ll aum = 0;
for (i = LOG - 1; i >= 0; i--)
{
if (ma[x][i] <= act)
{
aum += sum2[x][i];
x = up2[x][i];
}
}
act += aum;
}
else
{
ll pos=0;
for(i=0; i<sz(dif); i++)
{
if(dif[i]<=act)
{
pos++;
}
}
for(i=LOG-1; i>=0; i--)
{
if(sum3[pos][x][i]+act<dif[pos])
{
act+=sum3[pos][x][i];
x=up3[pos][x][i];
}
}
act+=sum3[pos][x][0];
x=up3[pos][x][0];
}
}
return act;
}
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