#include <vector>
std::vector<std::vector<int>> devise_strategy(int N) {
const int num_prisoners = 500;
std::vector<std::vector<int>> strategy(num_prisoners+1, std::vector<int>(N+1, 0));
for (int i = 0; i <= num_prisoners; ++i) {
if (i <= 250) {
strategy[i][0] = 0; // Inspect bag A.
} else {
strategy[i][0] = 1; // Inspect bag B.
}
for (int j = 1; j <= N; ++j) {
strategy[i][j] = (i+1) % num_prisoners;
}
}
for (int i = 0; i <= 250; ++i) {
strategy[i][i] = -1; // Identify bag A as having fewer coins.
}
for (int i = 251; i <= num_prisoners; ++i) {
strategy[i][i-250] = -2; // Identify bag B as having fewer coins.
}
return strategy;
}
