Puzzle 32

Nothing to see here.
Right, moving along...

SWAP DEAL

Difficulty: Hard

 

The EOYs are over! :D

The students of 2K have gotten so sick of sitting at their usual tables that they've decided to switch places.

 

Unfortunately, there isn't enough time to move the tables and it would take them too long to decide who they want to sit with.

 

They've decided to swap places with their neighbours. They are only allowed to switch places with the classmate sitting adjacent to them (i.e. front, back, left, right) but not diagonally. They also have to retain the original 5x5 sitting arrangement. They can only switch places once.

 

So will everyone get a new place to sit at?

 

 

Need a hint? Look below:

 

This puzzle is slightly related to the previous puzzle!

 

Now for the answer to Puzzle 31...

 

No, it's not possible.

If you've noticed, a domino must cover a black square and a white square on a checkerboard. However, in the new checkerboard, the number of black squares is not equal to the number of white squares.

Therefore it's impossible to cover the new checkerboard with dominoes.

 

:)

nelG