#include <iostream>
#include <vector>
#include <cmath>
using namespace std;
vector<vector<int>> devise_strategy(int N) {
// Determine the maximum number of bits required
int bits_required = ceil(log2(N));
// Calculate the maximum value x
int x = 3 * bits_required - 1;
// Initialize the strategy list
vector<vector<int>> strategy(x + 1, vector<int>(N + 1));
for (int i = 0; i <= x; ++i) {
// Determine the bit position and state
int bit_position = i / 3;
int state = i % 3;
if (state == 0) {
// Check bit from bag A
strategy[i][0] = 0;
for (int j = 1; j <= N; ++j) {
if ((j >> bit_position) & 1) {
strategy[i][j] = 3 * (bit_position + 1);
} else {
strategy[i][j] = 3 * (bit_position + 1) + 1;
}
}
} else if (state == 1) {
// Check bit from bag B
strategy[i][0] = 1;
for (int j = 1; j <= N; ++j) {
if ((j >> bit_position) & 1) {
strategy[i][j] = 3 * (bit_position + 1);
} else {
strategy[i][j] = 3 * (bit_position + 1) + 1;
}
}
} else if (state == 2) {
// Compare and make a decision
strategy[i][0] = 0; // Default bag A, adjust later
for (int j = 1; j <= N; ++j) {
if (j == N) { // Assume decision making based on observed values
strategy[i][j] = -1; // Bag A has fewer coins
} else {
strategy[i][j] = -2; // Bag B has fewer coins
}
}
}
}
return strategy;
}
