/* input
*/
#include "cave.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 5e3;
int n, done[N], state[N], que[N];
int query(int R) {
for (int i = 0; i < n; ++i) {
if (done[i] != -1) que[i] = state[i];
else que[i] = (i <= R);
}
return tryCombination(que);
}
void exploreCave(int _n) {
memset(done, -1, sizeof(done));
n = _n;
int prev = query(0);
for (int i = 0; i < n; ++i) {
int L = 0, R = n - 1, pos = 0;
while (L <= R) {
int mid = (L + R) >> 1;
int cur = query(mid);
if ((prev == i && cur != i) || (prev != i && cur == i)) {
pos = mid;
R = mid - 1;
}
else L = mid + 1;
}
if (prev == i) state[pos] = 1;
done[pos] = i;
prev = query(0);
}
answer(state, done);
}
