Mathematics, 02.09.2019 19:20 autumnguidry6867
Alice and bob have two positive integers, x and y respectively, glued to their foreheads, so that each can read the other’s number but not their own. they also know that |x − y| = 1. the following conversation is overheard between alice and bob:
alice: i don’t know my number.
bob: i don’t know my number.
alice: i don’t know my number.
bob: i don’t know my number.
they say this to each other 200 times. and then we overhear them say: alice: i know my number! bob: i know my number too!
can you explain the conversation and figure out the numbers x and y. you may assume that alice and bob each know that the other is extremely smart — so each is confident that if the other has sufficient information to deduce the answer then he/she definitely will.
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Alice and bob have two positive integers, x and y respectively, glued to their foreheads, so that ea...
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