## The Lord of the Coins: The Two Towers

Recently there was an interesting puzzle posted on the ODS Slack channel. An ancient evil dragon captures Alice and Bob and puts them in two different towers. The dragon tosses a fair coin infinitely many times for Alice, and then does the same for Bob. The adventures should each name a number, and the dragon checks the coin toss outcome of the Alice’s infinite sequence at the position number, named by Bob, and then the coin toss outcome of the Bob’s sequence at the position number, named by Alice. If the outcomes are the same, our heroes are free. Wh...