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>
using namespace std;
using ll = long long;
#define pb push_back
const int MAX_N = 50000, BAND_LIM = 23, DECOMP_LIM = 24;
int n, to[BAND_LIM][DECOMP_LIM][MAX_N + 1];
ll wei[BAND_LIM][DECOMP_LIM][MAX_N + 1], lim[BAND_LIM][DECOMP_LIM][MAX_N + 1];
vector<int> s, p, w, l;
vector<ll> winner;
void init(int n, vector<int> s, vector<int> p, vector<int> w, vector<int> l) {
	::n = n;
	::s = s;
	::p = p;
	::w = w;
	::l = l;
	s.pb(0);
	p.pb(0);
	w.pb(n);
	l.pb(n);
	winner.resize(n + 1);
	for (int i = n - 1; i >= 0; i--) {
		winner[i] = winner[w[i]] + s[i];
	}
	for (int b = 0; b < BAND_LIM; b++) {
		int lb = (1 << b), rb = (1 << (b + 1)) - 1;
		for (int i = 0; i <= n; i++) {
			if (s[i] < lb) { // instant-win
				to[b][0][i] = w[i];
				wei[b][0][i] = s[i];
				lim[b][0][i] = LLONG_MAX;
			} else if (s[i] > rb) { // instant-lose
				to[b][0][i] = l[i];
				wei[b][0][i] = p[i];
				lim[b][0][i] = LLONG_MAX;
			} else {
				to[b][0][i] = l[i];
				wei[b][0][i] = p[i];
				lim[b][0][i] = s[i];
			}
		}
		for (int k = 1; k < DECOMP_LIM; k++) {
			for (int i = 0; i <= n; i++) {
				to[b][k][i] = to[b][k - 1][to[b][k - 1][i]];
				if (wei[b][k - 1][i] > LLONG_MAX - wei[b][k - 1][to[b][k - 1][i]]) {
					wei[b][k][i] = LLONG_MAX;
				} else {
					wei[b][k][i] = wei[b][k - 1][i] + wei[b][k - 1][to[b][k - 1][i]];
				}
				if (lim[b][k - 1][to[b][k - 1][i]] - wei[b][k - 1][i] < 0) {
					lim[b][k][i] = 0;
				} else {
					lim[b][k][i] = min(lim[b][k - 1][i], lim[b][k - 1][to[b][k - 1][i]] - wei[b][k - 1][i]);
				}
			}
		}
	}
}
ll simulate(int x, int _z) {
	ll z = _z;
	for (int b = 0; b < BAND_LIM; b++) {
		int rb = (1 << (b + 1)) - 1;
		if (z > rb) { // past this band
			continue;
		}
		for (int k = DECOMP_LIM - 1; k >= 0; k--) {
			if (lim[b][k][x] <= z || wei[b][k][x] > LLONG_MAX - z || z + wei[b][k][x] > rb) {
				continue;
			}
			z += wei[b][k][x];
			x = to[b][k][x];
		}
		if (x == n) {
			return z;
		}
		for (int iter = 0; iter < 2; iter++) {
			if (z >= s[x]) {
				z += s[x];
				x = w[x];
			} else {
				z += p[x];
				x = l[x];
			}
			if (x == n) {
				return z;
			}
		}
		assert(z > rb);
	}
	// win all the way
	return z + winner[x];
}
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