I find the problem in this post rather fun to think about because it is a problem about a game that can actually be played between two players.
This problem is a really interesting problem I solved two times. The first time I solved it I failed to prove exactly how it works... then some years later I remembered the problem statement and was able to solve it properly. Let's see how you do!
In this post I talked about the riddle of the water buckets. Now I challenge you to prove that in some situations it is impossible to solve it!
Gandalf has some Hobbits to appease but his task seems to go on forever. Can you give him a hand..?
Two friends were bored and decided to play a game... a mathematical game with a paper bag!
This post's format will be a bit different from the usual and the first of a series of posts of this type. In this post, I will state a problem and then present my solution.