2152.22 – Catch a Robber and Maximize Your Reward
You have just caught a bank robber. Congratulations! And you are about to collect a reward. But not so fast! The reward will be given to you according to this formula: And the allowed values for and are: and Choose and to maximize your reward.
We want a big numerator and a small denominator. So we make big and small.
The value maximizes the numerator: The value yields the smallest denominator: With these choices, you'll get a reward of .