#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
int n;
int A[5005], S[5005], D[5005], dd[5005];
void solve(int idx) {
    int T[n];
    for (int i = 0; i < idx; i++) T[D[i]] = A[i];
    for (int i = 0; i < n; i++) if (!dd[i]) T[i] = 0;
    int p = tryCombination(T);
    if (p == -1) p = n;
    if (idx < p) A[idx] = 0;
    else A[idx] = 1;
    int l = 0, r = n-1;
    while (l != r) {
        int mid = (l + r) >> 1;
        for (int i = 1; i < n; i++) if (!dd[i]) T[i] = 1-A[idx];
        for (int i = l; i <= mid; i++) if (!dd[i]) T[i] = A[idx];
        int p = tryCombination(T);
        if (p == -1) p = n;
        if (idx < p) r = mid;
        else l = mid+1;
    }
    D[idx] = r;
    dd[D[idx]] = 1;
}
void exploreCave(int N) {
    n = N;
    fill(A, A + n, -1);
    for (int i = 0; i < n; i++) solve(i);
    answer(S, D);
}
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