#include "prison.h"
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> devise_strategy(int N) {
int nbBits = log2(N - 1) + 1;
int k = 3 * nbBits + 1;
vector<vector<int>> strategy(k, vector<int>(N + 1));
for (int i = 0; i < k; ++i) {
if (i == 0) {
strategy[i][0] = 0;
for (int j = 0; j < N; ++j) {
if ((1 << (nbBits - 1)) & j)
strategy[i][j + 1] = nbBits + 1 + (nbBits - 1);
else
strategy[i][j + 1] = 1 + (nbBits - 1);
}
} else if (i <= 2 * nbBits) {
strategy[i][0] = 1;
int bit = i <= nbBits ? i - 1 : i - nbBits - 1;
int big = i > nbBits;
for (int j = 0; j < N; ++j) {
if (big == !!((1 << bit) & j))
strategy[i][j + 1] = 2 * nbBits + 1 + bit;
else {
if (big)
strategy[i][j + 1] = -2;
else
strategy[i][j + 1] = -1;
}
}
} else {
strategy[i][0] = 0;
int bit = i - 2 * nbBits - 2;
if (bit < 0) {
for (int j = 1; j <= N; ++j)
strategy[i][j] = -1;
} else {
for (int j = 0; j < N; ++j) {
if ((1 << bit) & j)
strategy[i][j + 1] = nbBits + 1 + bit;
else
strategy[i][j + 1] = 1 + bit;
}
}
}
}
return strategy;
}
