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Tile flipping (Posted on 2015-04-08) Difficulty: 3 of 5
A puzzle consists of a number of tiles, T, colored red on one side and blue on the other.

Start with all red side up. The goal is to get them all blue side up in the fewest number of rounds.
A round consists of flipping exactly N of them.

Find a rule for when the puzzle is impossible for given values of (T,N) with N≤T.

Find a rule for the number of rounds it will take when the puzzle is possible.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Thoughts - a counterexample for you | Comment 2 of 12 |
(In reply to Thoughts by broll)

{N,T} = {6,9} is not possible.  This contradicts your assertion that it can be done if T and N have a common divisor.

It will be simpler to state a rule for when it cannot be done.

  Posted by Jer on 2015-04-09 08:51:08
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