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 3x4 Knight Swap (Posted on 2010-02-13)
Eight white chess knights are placed on a 3x4 chessboard, four along the top row and four along the bottom, which are labeled as P, Q, R, S, T, U, V and W, as shown in the figure.

Exchange the positions of P and T, Q and U, R and V, and S and W in minimum possible number of moves.

 P Q R S T U V W

Let the squares be identified from 1 through 12 being read from left to right down.

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: One possible solution | Comment 5 of 6 |
(In reply to One possible solution by Dej Mar)

Firstly:
I copied the move set offered by Dej Mar to ascertain the number of moves made by each piece:

P  Q  R  S  T  U  V  W
4  6   6  4  2  4  4   2

Secondly:
I notice that Q revisits the same cell twice in sets 7 and 17 and R similarly revisits a cell twice in sets  19 and 25.  Does that mean that there is still a more efficient way to exchange the pieces, or is that something that has too happen?

Edited on February 17, 2010, 7:20 pm
 Posted by brianjn on 2010-02-16 21:08:19

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