Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site aecom.UUCP Path: utzoo!watmath!clyde!burl!hou3c!hocda!houxm!houxz!vax135!floyd!cmcl2!rocky2!cucard!aecom!mpoppers From: mpoppers@aecom.UUCP Newsgroups: net.math Subject: A Know/Don't Know Game Message-ID: <699@aecom.UUCP> Date: Mon, 4-Jun-84 14:16:37 EDT Article-I.D.: aecom.699 Posted: Mon Jun 4 14:16:37 1984 Date-Received: Wed, 6-Jun-84 05:58:13 EDT Organization: Albert Einstein Coll. of Med., NY Lines: 29 Two positive integers are chosen. The sum is revealed to logician A, and the sum of squares is revealed to logician B. Both A and B are given this information and the information contained in this sentence. The conversation between A and B goes as follows, with B starting the dialogue: B: "I can't tell what the two numbers are." A: "I can't tell what the two numbers are." B: "I can't tell what the two numbers are." A: "I can't tell what the two numbers are." B: "I can't tell what the two numbers are." A: "I can't tell what the two numbers are." B: "Now I can tell what the two numbers are." WHAT ARE THE TWO NUMBERS? -- problem composed by Tom Ferguson, UCLA Michael Poppers at A.E.C.O.M. {cucard,esquire,ihnp4,pegasus,philabs,rocky2,spike} | aecom | poppers,mpoppers Summer USnail address: 143 Bennett Avenue-Apt. 3P New York, NY 10040-4063