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4x3 Knight Swap (Posted on 2010-04-05) Difficulty: 3 of 5
Six chess knights are placed on a 4x3 chessboard, three along the top row and three along the bottom, which are labeled as P, Q, R, X, Y, Z, as shown in the figure below.

Exchange the positions of P and X, Q and Y and, R and Z, in minimum possible number of moves.



No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Thoughts | Comment 4 of 5 |
(In reply to Thoughts by broll)

Congratulations to Broll!  I agree that you have shown 26 to be the minimum.  I got the Q/Y as you did, but got entangled with the side columns.  (When I copied the diagram to another paper to experiment, I numbered the columns from top to bottom, rather than bottom up -- as shown, and as you did -- so my list would be rather confusing in any case.)  I considered trying to program a solution, but it seemed most likely that would get me into some infinite looping.


  Posted by ed bottemiller on 2010-04-06 11:04:14
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