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#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T& container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
// int tryCombination(int S[]){
// return 0;
// }
// void answer(int S[],int D[]){
// }
void exploreCave(int n) {
int S[n], D[n];
vector<bool> used(n);
for(int i= 0; i<n; ++i){
int state[n];
memset(state, 0, sizeof state);
for(int j = 0; j < n; ++j) if (used[j]) state[j] = S[j];
int v= tryCombination(state);
bool correct_state = (v == i);
int l = 0, r = n - 1;
while(l < r){
int mid = (l + r) >> 1;
int state[n];
memset(state, 0, sizeof state);
for(int j = 0; j < n; ++j) if (used[j]) state[j] = S[j];
for(int j = 0; j <= mid; ++j) if (!used[j]) state[j] = correct_state;
for(int j = mid + 1; j < n; ++j) if (!used[j]) state[j] = !correct_state;
if (tryCombination(state) == i) l = mid + 1;
else r = mid;
}
int x = l;
S[x] = correct_state;
D[x] = i;
used[x] = true;
}
answer(S, D);
}
// int main(void){
// ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// return 0;
// }
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