#include "cave.h"
#include <iostream>
const int maxn = 5050;
int S[maxn], D[maxn];
int switched[maxn];
void exploreCave(int N) {
    for(int i = 0; i < N; i++) {
        int comb = (tryCombination(S) != i);
        int L = 0, R = N - 1;

        while(L < R) {
            int mid = (L + R) / 2;
            for(int j = L; j <= mid; j++) {
                if(!switched[j]) {
                    S[j] = 1 - S[j];
                }
            }
            int comb2 = (tryCombination(S) != i);
            for(int j = L; j <= mid; j++) {
                if(!switched[j]) {
                    S[j] = 1 - S[j];
                }
            }
            if(comb == comb2) {
                L = mid + 1;
            }
            else {
                R = mid;
            }

        }
        D[L] = i;
        if(comb == 0) {
            S[L] = 1 - S[L];
        }
        switched[L] = 1;
    }
    answer(S, D);
}