Consider 16 cards consisting of the ace through 8 of hearts and the ace through 8 of spades. You are allowed to arrange the cards as you wish. Your opponent chooses a number between 1 and 8. You deal that many cards from the top of the deck and put the last card face up, with a value of, say, k. You next deal k cards (ace is considered 1) and put the last card face up, with a value of, say, k'. You then deal k' cards and so on. You continue until the number revealed is more than the remaining cards, in which case your opponent wins or the last deal ends with the final card of the 16 and is an ace, in which case you win.
Warm-Up. Find an arrangement in which you can win this game.
No entries found
Log in to Read the Full Article
Sign in using your ACM Web Account username and password to access premium content if you are an ACM member, Communications subscriber or Digital Library subscriber.
Please select one of the options below for access to premium content and features.
Create a Web Account
If you are already an ACM member, Communications subscriber, or Digital Library subscriber, please set up a web account to access premium content on this site.
Join the ACM
Become a member to take full advantage of ACM's outstanding computing information resources, networking opportunities, and other benefits.
Subscribe to Communications of the ACM Magazine
Get full access to 50+ years of CACM content and receive the print version of the magazine monthly.
Purchase the Article
Non-members can purchase this article or a copy of the magazine in which it appears.