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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)

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 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 movesb) 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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