Sorry about missing a week guys. A degenerate gambler dies and is sentenced to hell. The devil informs him that his punishment is that he must play a slot machine. He starts with one coin, and each time he puts in a coin he gets countably infinite many coins out of the machine. He must continue to play until he has no coins remaining, and only then can he move on from his punishment and enjoy the afterlife. Fortunately, time flies when you're having fun, and he can play the slot machine arbitrarily fast. The challenge: Construct and prove the correctness of a strategy in which he has no coins left after one second. (Note that you must prove he can use every single coin he is given back by the machine, not just that he can use infinitely many coins in one second). EDIT TO ADD: Arbitrarily fast in this context means that there is no upper bound to how quickly he can put the next coin in.