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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.)
 How does the game end? | Comment 4 of 6 |
Jer:

If my first guess is the number you are thinking of, then is the game won, or do you just tell me "warmer"?

 Posted by Steve Herman on 2013-10-02 09:24:35

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