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Sliding pennies #1 (Posted on 2005-05-31) Difficulty: 3 of 5
Six pennies are arranged in the pattern of O's below.

    O O O
   O O O

Nearby pennies are touching. By the fewest number of legal moves, transform the pattern into the pattern

O O O O O O

consecutive pennies touching. A legal move consists of sliding a penny, not picking up a penny, without disturbing the other pennies, to a new position touching at least two pennies. (You might want to look up Moving Quarters for a similar problem with the same rules.)

  Submitted by McWorter    
Rating: 2.5000 (4 votes)
Solution: (Hide)
We label the pennies and show their position after each of 6 moves.

1  2  3   ->  1  .  3  2  ->  1     .  2  ->   1      2  ->
  4  5  6  ->   4  5  6   ->   4  5  6  3  -> 5  4 . 6 3 ->

  .       2  1  ->   .          1   ->               .
5  4    6  3    ->  5  4    6  3  2  -> 5  4  1  6  3  2

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerJacob2005-07-04 15:12:22
Solution7Amber2005-06-07 03:11:19
re(2): A question to McWorterpcbouhid2005-06-05 22:22:47
re: A question to McWorterMcWorter2005-06-05 22:08:44
A question to McWorterpcbouhid2005-06-05 21:37:06
Played out in Excelbrianjn2005-06-05 09:09:42
SolutionIn TWO!!Charley2005-06-04 04:37:45
Temptationbrianjn2005-06-03 03:30:05
re(3): I got three.pcbouhid2005-06-02 15:44:59
re(2): I got three.ajosin2005-06-02 13:02:44
re: I got three.pcbouhid2005-06-01 23:15:30
I got three.Amanda2005-06-01 22:38:32
re(2): I got 4Fletch2005-06-01 14:40:05
re: I got 4Syzygy2005-06-01 12:55:32
Hints/TipsI got 4bob2005-06-01 00:50:12
SolutionCan you beat 6?Egor2005-05-31 21:34:34
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