All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Games
3x4 Knight Swap (Posted on 2010-02-13) Difficulty: 3 of 5
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.)
Solution One possible solution | Comment 3 of 6 |

The exchange can be done in at least 32 moves.

       1      2      3      4
PQRS   PQRS   PQRS   PQ.S   PQUS
....   ..T.   .WT.   .WT.   .WT.
TUVW   .UVW   .UV.   .UVR   ..VR


5      6      7      8      9
PQ.S   P..S   P..S   P.QS   ..QS
UWT.   UWTQ   UWT.   UWT.   UWT.
..VR   ..VR   .QVR   ..VR   .PVR


10     11     12     13     14
..QS   .PQS   ..QS   .VQS   ..QS
UWTP   UWT.   UWT.   UWT.   UWTV
..VR   ..VR   P.VR   P..R   P..R


15     16     17     18     19
..QS   .UQS   .U.S   QU.S   QURS
.WTV   .WTV   .WTV   .WTV   .WTV
P.UR   P..R   PQ.R   P..R   P...


20     21     22     23     24
QU.S   QU..   QU..   QUS.   QU..
.WTV   .WTV   SWTV   .WTV   .WTV
PR..   PRS.   PR..   PR..   PR.S


25     26     27     28     29
QUR.   QU..   QU..   QU..   QUV.
.WTV   RWTV   .WTV   .WT.   .WT.
P..S   P..S   P.RS   PVRS   P.RS


30     31     32
.UV.   .UVW   TUVW
.WT.   ..T.   ....
PQRS   PQRS   PQRS

Edited on February 17, 2010, 6:31 am
  Posted by Dej Mar on 2010-02-15 10:33:30

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information