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 Detect my chosen coin (Posted on 2016-01-19)
This is what I’ve told my two mathematician friends:

“Imagine a 64-square chessboard with a coin on each square.
Each of the coins has either head or tails facing up, chosen at random.
I check the board and decide which coin will be my favorite one.
One of you (say A) will be with me, see the chessboard and I will reveal to him (only to him) which coin is my favorite. He then must flip over exactly one of the coins on the chessboard, while the other mathematician (B) is in another room not looking.

Once the coin is flipped over, the uninformed mathematician (B) is summoned into the room and must deduce which coin is my favorite only by examining the coins on the chessboard.
To secure absence of any other hints A is escorted out of the room.

Clearly, prior to the procedure, you are free to discuss the problem between the two of you and establish its solving strategy. You have no time limit, you are free to use any kind of calculator, but any communication between you two is strictly prohibited”

What strategy can the two mathematicians devise to ensure that my favorite coin can always be correctly identified?

 No Solution Yet Submitted by Ady TZIDON No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): A way of looking at it | Comment 18 of 19 |
(In reply to re: A way of looking at it by Ady TZIDON)

Yes, Ady, and I write my post after seeing the solution. It's a try to enlight (at least to myself) why the solution works.

Also it points out why I didn't succeed to solve it working with full numbers: need to work with "components" of numbers.

It was an interesting and funny problem.
Edited on February 5, 2016, 3:34 am
 Posted by armando on 2016-02-05 03:19:50

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