Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84 exptools; site ihlpg.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxn!ihnp4!ihlpg!tan From: tan@ihlpg.UUCP (Bill Tanenbaum) Newsgroups: net.math,net.puzzle Subject: Generalized NIM (Mild Spoiler on NIM) Message-ID: <1242@ihlpg.UUCP> Date: Fri, 13-Sep-85 14:31:02 EDT Article-I.D.: ihlpg.1242 Posted: Fri Sep 13 14:31:02 1985 Date-Received: Sat, 14-Sep-85 07:12:38 EDT References: <280@proper.UUCP> <1130@sphinx.UChicago.UUCP> Organization: AT&T Bell Laboratories Lines: 7 Xref: watmath net.math:2254 net.puzzle:1007 The game of NIM nicely generalizes into a game where you may take as many matches as you want from up to N piles in a single turn. The solution to generalized NIM is analagous to regular NIM, except the safe positions are determined by the representations in base N+1, which of course reduces to binary in regular NIM. -- Bill Tanenbaum - AT&T Bell Labs - Naperville IL ihnp4!ihlpg!tan