// Made by TheQuantiX
#include <bits/stdc++.h>
//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2,sse4.2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using ll = long long;
constexpr ll MAXN = 1e5;
constexpr ll MOD = 1000000007;
constexpr ll INF = 1000000000000000000LL;
ll tt, n, m, k, x, y, a, b, c, d;
vector< vector<int> > devise_strategy(int n) {
vector< vector<int> > ans(1, vector<int>(n + 1));
queue< pair< pair<int, int>, pair<int, int> > > q;
q.push({{0, 0}, {1, n}});
while (!q.empty()) {
auto p = q.front();
q.pop();
ll l = p.second.first;
ll r = p.second.second;
ll x = p.first.first;
// cout << x << ' ' << l << ' ' << r << endl;
ans[x].resize(n + 1);
ans[x][0] = p.first.second;
for (int i = 1; i <= l; i++) {
if (p.first.second == 0) {
ans[x][i] = -1;
}
else {
ans[x][i] = -2;
}
}
// cout << "DEBUG" << endl;
for (int i = r; i <= n; i++) {
if (p.first.second == 0) {
ans[x][i] = -2;
}
else {
ans[x][i] = -1;
}
}
l++;
r--;
// cout << "DEBUG" << endl;
if (l > r) {
continue;
}
int mid = (r + l) / 2;
for (int i = l; i <= mid; i++) {
ans[x][i] = ans.size();
}
for (int i = mid + 1; i <= r; i++) {
ans[x][i] = ans.size() + 1;
}
q.push({{ans.size(), 1 - p.first.second}, {l, mid}});
ans.resize(ans.size() + 1);
// cout << "DEBUG" << endl;
if (l != r) {
q.push({{ans.size(), 1 - p.first.second}, {mid + 1, r}});
ans.resize(ans.size() + 1);
}
}
return ans;
}
//void solve() {
// cin >> n;
// auto x = devise_strategy(n);
// for (auto &i : x) {
// for (auto j : i) {
// cout << j << ' ';
// }
// cout << '\n';
// }
//}
//
//int main() {
// ios_base::sync_with_stdio(0);
// cin.tie(0);
// cout.tie(0);
// cout << fixed;
// cout << setprecision(10);
// tt = 1;
//// cin >> tt;
// while (tt --> 0) {
// solve();
// }
//}
