[net.math] A Know/Don't Know Game

mpoppers@aecom.UUCP (06/04/84)

	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