This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "dungeons.h"
#include <bits/stdc++.h>
#define pb push_back
#define x first
#define y second
#define all(a) a.begin(), a.end()
#define sz(a) (int)a.size()
#define rd() abs((int)rng())
using namespace std;
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
const int maxn = 2e5 + 10;
const int mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int LOG = 25;
vector<vector<vector<ll> > >sum;
vector<vector<vector<ll> > >mn;
vector<vector<vector<int> > >jump;
vector<vector<ll> >SUM;
vector<vector<ll> >MX;
vector<vector<int> >JUMP;
int n;
vector<int>s, p, w, l;
void init(int N, std::vector<int> S, std::vector<int> P, std::vector<int> W, std::vector<int> L) {
n = N;
s = S, p = P, w = W, l = L;
s.pb(0);
p.pb(0);
w.pb(0);
l.pb(0);
w[n] = n;
if (n > 0) {
SUM = vector<vector<ll> >(LOG, vector<ll>(n + 1));
MX = vector<vector<ll> >(LOG, vector<ll>(n + 1, -1e18));
JUMP = vector<vector<int> >(LOG, vector<int>(n + 1, -1));
for (int jmp = 0; jmp < LOG; jmp++) {
for (int i = 0; i < n; i++) {
if (jmp == 0) {
SUM[jmp][i] = s[i];
MX[jmp][i] = s[i];
JUMP[jmp][i] = w[i];
} else {
int x = JUMP[jmp - 1][i];
SUM[jmp][i] = SUM[jmp - 1][i] + SUM[jmp - 1][x];
MX[jmp][i] = max(MX[jmp - 1][i], MX[jmp - 1][x] - SUM[jmp - 1][i]);
JUMP[jmp][i] = JUMP[jmp - 1][x];
}
}
}
return;
}
sum = vector<vector<vector<ll> > >(LOG, vector<vector<ll> >(n + 1));
mn = vector<vector<vector<ll> > >(LOG, vector<vector<ll> >(n + 1));
jump = vector<vector<vector<int> > >(LOG, vector<vector<int> >(n + 1));
for (int grp = 0; grp < LOG; grp++) {
for (int i = 0; i <= n; i++) {
sum[grp][i] = vector<ll>(grp + 1, 0);
mn[grp][i] = vector<ll>(grp + 1, 1e18);
jump[grp][i] = vector<int>(grp + 1, -1);
}
}
for (int grp = 0; grp < LOG; grp++) {
int upto = 1 << grp;
for (int jmp = 0; jmp < grp; jmp++) {
for (int i = 0; i < n; i++) {
if (jmp == 0) {
int to;
if (s[i] <= upto) { // definitely win
sum[grp][i][0] = s[i];
to = w[i];
} else { // might win
sum[grp][i][0] = p[i];
mn[grp][i][0] = s[i];
to = l[i];
}
jump[grp][i][0] = to;
} else {
int x = jump[grp][i][jmp - 1];
if (x != -1) {
sum[grp][i][jmp] = sum[grp][i][jmp - 1] + sum[grp][x][jmp - 1];
mn[grp][i][jmp] = min(mn[grp][i][jmp - 1], mn[grp][x][jmp - 1] - sum[grp][i][jmp - 1]);
jump[grp][i][jmp] = jump[grp][x][jmp - 1];
} else {
jump[grp][i][jmp] = -1;
}
}
}
}
}
}
ll simulate(int x, int z) {
ll cur_sum = z;
int cur = x;
if (n > 0) {
while (true) {
for (int jmp = LOG - 1; jmp >= 0; jmp--) {
if (JUMP[jmp][cur] != -1 && JUMP[jmp][cur] != n && MX[jmp][cur] <= cur_sum) {
cur_sum += SUM[jmp][cur];
cur = JUMP[jmp][cur];
}
}
ll was_sum = cur_sum;
if (cur_sum >= s[cur]) {
cur_sum += s[cur];
cur = w[cur];
} else {
cur_sum += p[cur];
cur = l[cur];
}
if (cur == n) {
return cur_sum;
} else {
assert(cur_sum >= was_sum * 2);
}
}
}
for (int grp = 0; grp < LOG - 1; grp++) {
ll group_lower_bound = 1 << grp;
if (cur_sum >= group_lower_bound * 2) {
continue;
}
for (int jmp = grp; jmp >= 0; jmp--) {
if (jump[grp][cur][jmp] != -1
&& (cur_sum + sum[grp][cur][jmp] < group_lower_bound * 2)
&& (cur_sum < mn[grp][cur][jmp])) {
cur_sum += sum[grp][cur][jmp];
cur = jump[grp][cur][jmp];
}
}
if (cur_sum >= s[cur]) {
cur_sum += s[cur];
cur = w[cur];
} else {
cur_sum += p[cur];
cur = l[cur];
}
if (cur == n) {
return cur_sum;
}
}
for (int jmp = LOG - 1; jmp >= 0; jmp--) {
if (jump[LOG - 1][cur][jmp] != -1 && jump[LOG - 1][cur][jmp] != n) {
cur_sum += sum[LOG - 1][cur][jmp];
cur = jump[LOG - 1][cur][jmp];
}
}
if (cur_sum >= s[cur]) {
cur_sum += s[cur];
cur = w[cur];
} else {
cur_sum += p[cur];
cur = l[cur];
}
return cur_sum;
}
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