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

Home > General
Sliding Coin puzzle (Posted on 2013-06-19) Difficulty: 3 of 5
Start with the sequence of coins as follows (where you can think of O as TAILS and X as HEADS; there are 14 tails and 15 heads)

XOXOXOXOXOXOXOXOXOXOXOXOXOXOX

Transform it to

XXXXXXXXXXXXXXXOOOOOOOOOOOOOO

using moves of the following sort:

Take two consecutive coins and move them to the end, or the beginning.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Simpler shorter solution (20 moves) | Comment 2 of 3 |
If I counted correctly, Charlie's solution took 39 steps.    Here is a simpler solution that only takes 20 steps.    a) Move the first XO to the end, then the first OX,      and continue alternating the first XO and      the first OX for a total of 13 moves  b) Move the last XX to the start, and repeat 6 more      times for a total of 7 moves.  c) We are all done in 20 moves.  See picture below.     Can anybody do better?      XOXOXOXOXOXOXOXOXOXOXOXOXOXOX  >>  XOXOXOXOXOXOXOXOXOXOXOXOXOXXO   >>  XOXOXOXOXOXOXOXOXOXOXOXOXXOOX  >>  XOXOXOXOXOXOXOXOXOXOXOXXOOXXO   >>  XOXOXOXOXOXOXOXOXOXOXXOOXXOOX  >>  XOXOXOXOXOXOXOXOXOXXOOXXOOXXO   >>  XOXOXOXOXOXOXOXOXXOOXXOOXXOOX  >>  XOXOXOXOXOXOXOXXOOXXOOXXOOXXO   >>  XOXOXOXOXOXOXXOOXXOOXXOOXXOOX  >>  XOXOXOXOXOXXOOXXOOXXOOXXOOXXO   >>  XOXOXOXOXXOOXXOOXXOOXXOOXXOOX  >>  XOXOXOXXOOXXOOXXOOXXOOXXOOXXO   >>  XOXOXXOOXXOOXXOOXXOOXXOOXXOOX  >>  XOXXOOXXOOXXOOXXOOXXOOXXOOXXO    <<  <<  <<  <<  <<  <<  <<  XXXXXXXXXXXXXXXOOOOOOOOOOOOOO  

Edited on June 20, 2013, 12:02 am
  Posted by Steve Herman on 2013-06-20 00:01:17

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 (2)
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