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 Sliding Coin puzzle (Posted on 2013-06-19)
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.)
 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

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