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 Warm/Cool Number Guessing (Posted on 2013-09-30)
Here's another number guessing game:

I randomly pick a number from 1 to 1000. After you make your first guess at the number I will only tell you whether it is warmer (closer) or cooler (farther) or neither, to a 'zeroth guess' of 500.

For successive guesses I will tell your warmer, colder, neither, to the closest of the previous guesses.

What is the minimum number of guesses that would guarantee that you win with an optimal strategy?

What is this strategy?

 No Solution Yet Submitted by Jer No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: A limit | Comment 2 of 6 |
(In reply to A limit by broll)

Do you mean that 10 is an upper or lower bound?  Can you split the remaining possibilities in half every time?  How does 'neither' as a possible answer affect things?
 Posted by Jer on 2013-10-01 15:55:08

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