/*
$$$$$$$\ $$\ $$$$$$$\
$$ __$$\ \__| $$ __$$\
$$ | $$ | $$$$$$\ $$$$$$\ $$\ $$$$$$$\ $$ | $$ | $$$$$$\ $$$$$$\ $$$$$$$\ $$$$$$\
$$$$$$$\ |$$ __$$\ $$ __$$\ $$ |$$ _____|$$$$$$$\ | \____$$\ $$ __$$\ $$ _____|\____$$\
$$ __$$\ $$ / $$ |$$ | \__|$$ |\$$$$$$\ $$ __$$\ $$$$$$$ |$$ | \__|$$ / $$$$$$$ |
$$ | $$ |$$ | $$ |$$ | $$ | \____$$\ $$ | $$ |$$ __$$ |$$ | $$ | $$ __$$ |
$$$$$$$ |\$$$$$$ |$$ | $$ |$$$$$$$ |$$$$$$$ |\$$$$$$$ |$$ | \$$$$$$$\\$$$$$$$ |
\_______/ \______/ \__| \__|\_______/ \_______/ \_______|\__| \_______|\_______|
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/detail/standard_policies.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define PB push_back
#define MP make_pair
#define INS insert
#define LB lower_bound
#define UB upper_bound
#define pii pair <int,int>
#define pll pair <long long, long long>
#define X first
#define Y second
#define _ << " " <<
#define sz(x) (int)x.size()
#define all(a) (a).begin(),(a).end()
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define FORD(i, a, b) for (int i = (a); i > (b); --i)
#define FORA(i, x) for (auto &i : x)
#define REP(i, n) FOR(i, 0, n)
#define BITS(x) __builtin_popcount(x)
#define SQ(a) (a) * (a)
#define TRACE(x) cout << #x " = " << (x) << '\n';
#define YES cout << "YES\n"
#define NO cout << "NO\n"
#define umap unordered_map
typedef long long ll;
typedef long double ld;
typedef vector <int> vi;
typedef vector <pii> vpi;
typedef vector <ll> vll;
typedef vector <pll> vpl;
typedef vector <double> vd;
typedef vector <ld> vld;
typedef vector<string> vs;
typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
//find_by_order -> kti najmanji
//order_of_key -> koliko ima manjih od x
//((float) t)/CLOCKS_PER_SEC
const int MOD = 1e9 + 7;
const double PI = acos(-1);
const int INF = 1e9 + 10;
const ll INFL = 1e18 + 10;
const int ABC = 30;
const int dx[] = {-1, 1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const int dox[] = {-1, 1, 0, 0, -1, -1, 1, 1};
const int doy[] = {0, 0, -1, 1, -1, 1, -1, 1};
inline int sum(int a, int b){
if (a + b < 0)
return (a + b + MOD) % MOD;
return (a + b) % MOD;
}
inline void add(int &a, int b){
a = sum(a, b);
}
inline int mul(ll a, ll b){
return ((a % MOD) * ((ll)b % MOD)) % MOD;
}
inline int sub(int a, int b){
return (a - b + MOD) % MOD;
}
inline int fast_pot(ll pot, ll n){
ll ret = 1;
while (n){
if (n & 1LL)
ret = (ret * pot) % MOD;
pot = (pot * pot) % MOD;
n >>= 1LL;
}
return ret;
}
inline int divide(int a, int b){
return mul(a, fast_pot(b, MOD - 2));
}
ll lcm(ll a, ll b){
return abs(a * b) / __gcd(a, b);
}
inline int ccw(pii a, pii b, pii c) {
return a.X * (b.Y - c.Y) + b.X * (c.Y - a.Y) + c.X * (a.Y - b.Y);
}
inline int CCW(pii A, pii B, pii C){
double val = ccw(A, B, C);
double eps = max(max(abs(A.X), abs(A.Y)), max(max(abs(B.X), abs(B.Y)), max(abs(C.X), abs(C.Y)))) / 1e9;
if (val <= -eps)
return -1;
if (val >= eps)
return 1;
return 0;
}
void to_upper(string &x){
REP(i, sz(x))
x[i] = toupper(x[i]);
}
void to_lower(string &x){
REP(i, sz(x))
x[i] = tolower(x[i]);
}
string its(ll x){
if (x == 0)
return "0";
string ret = "";
while (x > 0){
ret += (x % 10) + '0';
x /= 10;
}
reverse(all(ret));
return ret;
}
ll sti(string s){
ll ret = 0;
REP(i, sz(s)){
ret *= 10;
ret += (s[i] - '0');
}
return ret;
}
#include "cave.h"
const int N = 5005;
int s[N], d[N], rijesio[N];
void flip(int l, int r){
FOR(i, l, r + 1)
if (!rijesio[i])
s[i] = !s[i];
}
void exploreCave(int n) {
REP(i, n)
s[i] = 0;
cout << n << '\n';
bool flipped = 0;
REP(door, n){
int curr = tryCombination(s);
int lo = 0, hi = n - 1;
while (lo < hi){
int mid = (lo + hi) / 2;
flip(lo, mid);
int t = tryCombination(s);
if (t == -1)
t = n;
flip(lo, mid);
//cout << lo _ mid _ t _ curr << '\n';
if (curr == door){
if (t > door){
flipped = 0;
hi = mid;
continue;
}
} else if (t == door){
flipped = 1;
hi = mid;
continue;
}
lo = mid + 1;
}
if (flipped == 1)
s[lo] = 0;
else
s[lo] = 1;
rijesio[lo] = 1;
d[lo] = door;
//cout << lo _ s[lo] << '\n';
//cout << curr << '\n';
/*REP(j, n){
if (rijesio[j])
continue;
s[j] = !s[j];
int t = tryCombination(s);
if (t == -1)
t = n;
if (curr == door){
if (t > curr){
rijesio[j] = 1;
d[j] = door;
//cout << door _ j _ s[j] _ "type1" << '\n';
break;
}
} else if (t == door){
rijesio[j] = 1;
d[j] = door;
s[j] = !s[j];
//cout << door _ j _ s[j] _ "type2" << '\n';
break;
}
s[j] = !s[j];
}*/
}
answer(s, d);
}
