#include "prison.h"
#include <bits/stdc++.h>
using std::vector;
using std::string;
using std::cin;
using std::cout;
using ll = int;
using vi = vector<ll>;
using vii = vector<vi>;
using pii = std::pair<ll,ll>;
#define ln "\n"
#define rep(i,j,k) for(ll i=ll(j); i<ll(k); i++)
#define REP(i,j,k) for(ll i=ll(j); i<=ll(k); i++)
#define per(i,j,k) for(ll i=ll(j); i>=ll(k); i--)
#define all(a) a.begin(), a.end()
#define mp std::make_pair
#define pb emplace_back
std::vector<std::vector<int>> devise_strategy(int N) {
constexpr ll log = 13;
constexpr ll x = log*3;
vii ret(x+1, vi(N+1));
REP(i,0,log*3){
ll bit = i/3;
if(i%3 == 2){
ret[i][0] = 0;
REP(j,1,N){
if(j & (1ll<<bit)) ret[i][j] = bit*3+1;
else ret[i][j] = bit*3;
}
}
else{
ret[i][0] = 1;
REP(j,1,N){
ll A = i%3;
ll B = 0;
if(j & (1ll<<bit)) B = 1;
if(A == B){
ll nbit = bit-1;
ret[i][j] = nbit*3+2;
}
else if(A < B){
ret[i][j] = -1;
}
else{
ret[i][j] = -2;
}
}
}
}
return ret;
}
