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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 3 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 

  Posted by Steve Herman on 2013-06-20 00:04:31
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