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 JUMP_SIZE 40
std::vector<int> s, p, w, l;
int N;
long long *minBlitz, *gainBlitz;
int **jumpTo;
__int128_t **jumpGain;
bool identical = true;
long long dp(int node, long long str);
long long calc(int node, long long str) {
if (str >= s[node]) {
return dp(w[node], str + s[node]);
} else return dp(l[node], str + p[node]);
}
std::unordered_map<long long, long long> *cache;
long long dp(int node, long long str) {
assert(node != N);
if (str >= minBlitz[node]) return str + gainBlitz[node];
if (!cache[node].count(str)) {
cache[node][str] = calc(node, str);
}
return cache[node][str];
}
void init(int n, std::vector<int> _s, std::vector<int> _p, std::vector<int> _w, std::vector<int> _l) {
N = n;
s = std::move(_s);
p = std::move(_p);
w = std::move(_w);
l = std::move(_l);
for (int i = 1; i < N; ++i) {
if (s[i] != s[0]) identical = false;
}
minBlitz = new long long[N + 1];
gainBlitz = new long long[N + 1];
for (int i = 0; i <= N; ++i) {
gainBlitz[i] = -1;
}
std::function<void(int)> calc = [&](int x) {
if (gainBlitz[x] != -1) return;
if (x == N) {
minBlitz[x] = 0;
gainBlitz[x] = 0;
return;
}
calc(w[x]);
minBlitz[x] = std::max(minBlitz[w[x]] - s[x], (long long) s[x]);
gainBlitz[x] = gainBlitz[w[x]] + s[x];
};
for (int i = 0; i <= N; ++i) {
calc(i);
}
cache = new std::remove_pointer<decltype(cache)>::type[N + 1];
#ifdef LOCAL
std::cout << "minBlitz:";
for (int i = 0; i <= N; ++i) {
std::cout << " " << minBlitz[i];
}
std::cout << std::endl;
std::cout << "gainBlitz:";
for (int i = 0; i <= N; ++i) {
std::cout << " " << gainBlitz[i];
}
std::cout << std::endl;
#endif
jumpTo = new int *[N + 1];
jumpGain = new __int128_t *[N + 1];
for (int i = 0; i <= N; ++i) {
jumpTo[i] = new int[JUMP_SIZE];
jumpGain[i] = new __int128_t[JUMP_SIZE];
}
for (int i = 0; i < N; ++i) {
jumpTo[i][0] = l[i];
jumpGain[i][0] = p[i];
}
jumpTo[N][0] = N;
jumpGain[N][0] = 0;
for (int i = 1; i < JUMP_SIZE; ++i) {
for (int j = 0; j <= N; ++j) {
jumpTo[j][i] = jumpTo[jumpTo[j][i - 1]][i - 1];
jumpGain[j][i] = jumpGain[j][i - 1] + jumpGain[jumpTo[j][i - 1]][i - 1];
}
}
}
long long simulate(int x, int _z) {
__int128_t z = _z;
if (identical) {
if (z >= s[0]) return z + gainBlitz[x];
for (int i = JUMP_SIZE - 1; i >= 0; --i) {
if (z + jumpGain[x][i] <= s[0]) {
z += jumpGain[x][i];
x = jumpTo[x][i];
}
}
while (z < s[0]) {
z += p[x];
x = l[x];
}
return z + gainBlitz[x];
}
return dp(x, z);
}
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