#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
#include "cave.h"
typedef long long ll;
using namespace std;
using namespace __gnu_pbds;
#define FOR(i, x, y) for(int i=x; i<y; i++)
#define FORNEG(i, x, y) for(ll i=x; i>y; i--)
#define ordered_set tree<ll, null_type,less_equal<ll>, rb_tree_tag,tree_order_statistics_node_update>
#define fast() ios_base::sync_with_stdio(false);cin.tie(NULL)
#define ll int
vector<vector<ll>> found;
ll test(int N, int n){
ll ans[N+1];
FOR(i,0,N){
ans[i] = 0;
}
for (auto&i : found){
ans[i[1]] = i[2];
}
ll result = tryCombination(ans);
if (result>n || result==-1){
return 0;
}else{
return 1;
}
}
ll test2(int n, int k, int s){
k++;
ll ans[n+1];
FOR(i,0,n){
ans[i] = 0;
}
FOR(i,0,k) ans[i] = s;
FOR(i,k,n){
if (s==0) ans[i] = 1;
else ans[i] = 0;
}
for (auto&i : found){
ans[i[1]] = i[2];
}
ll result = tryCombination(ans);
if (result>k || result==-1){
return 1;
}else{
return 0;
}
}
void exploreCave(int N){
FOR(i,0,N){
ll switchd = test(N,i);
ll lo = 0;
ll hi = N-1;
ll mid = 0;
while (lo < hi) {
mid = lo + (hi - lo) / 2;
if (test2(N, mid, switchd)) {
hi = mid;
} else {
lo = mid + 1;
}
};
found.push_back({i, lo, switchd});
}
ll S[N];
ll D[N];
for (auto&i : found){
S[i[1]] = i[2];
D[i[1]] = i[0];
}
answer(S,D);
}
