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

Home > General
Crossing the board (Posted on 2005-09-30) Difficulty: 3 of 5
You are given a board 5x5 and 24 square pieces (1x1), one of them with a cross (+) and all the others 23 with a straight line on it (25 such pieces would cover the entire board).
                   (1)              (23) 
                +-------+         +-------+  
                |  _|_  |         | _____ |
                |   |   |         |       |
                +-------+         +-------+
Place the cross-piece in the upper left corner of the board.

Your task is to find "how to put the others 23 pieces," leaving the bottom right corner free, so that once this is made, by only sliding the pieces, you can bring the cross-piece from the upper left corner to the right bottom corner (that is "free" initially).

"How to put the other 23 pieces" means what must be the orientation of the line on each one, horizontal or vertical, since those placed with the line horizontal-oriented can only slide horizontally - to the right and to the left,- and those placed with the line vertical-oriented can only slide vertically - up and down. Obviously, sliding is limited by the edges of the board.

The cross-piece is the only one that can slide horizontally and vertically.

See The Solution Submitted by pcbouhid    
Rating: 3.8000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: Solution | Comment 9 of 10 |
(In reply to Solution by Tristan)



a 43-move solution is as follows with the direction of travel refering to that of the piece being moved:


That path does leave the ? positions unmoved.

The above setup is traversible in fewer than 43 moves (35 to be exact) by specifying (that is by using) some of the ?'s:



  Posted by Charlie on 2005-10-03 20:27:24
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information