#include "cave.h"
#include <vector>
void exploreCave(int N) {
int ans[N] , have[N];
int S[N] , D[N] , res = 0;
std::vector< int > A;
for(int i = 0;i < N;i++)
D[i] = -1;
for(int i =0 ;i < N;i++) {
A.push_back(i);
bool t = tryCombination(S) == i;
int l = 0, r =N - 1, mid;
res = -1;
while (l < r) {
mid = (l + r) >> 1;
for(int j = l;j <= mid;j++) {
if(D[j] == -1) {
S[j] = 1 - S[j];
}
}
if((tryCombination(S) == i) == t) {
l = mid + 1;
res = mid;
} else {
r = mid - 1;
}
for(int j = l;j <= mid;j++) {
if(D[j] == -1)
S[j] = 1 - S[j];
}
}
if(t)
S[res] = 1 - S[res];
D[r] = i;
}
answer(S , D);
}
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