Jump to content
BrainDen.com - Brain Teasers
  • 0

"Flipping" Dimes and Pennies



Place two dimes and two pennies in a line with a space between them like this:

 P P   D D
 _ _ _ _ _

Using a sequence of moves, switch the two groups of coins to achieve this position:

 D D   P P
 _ _ _ _ _

Moves are of two types:

  1. slide a coin to an (adjacent) empty space.
  2. jump a coin over another coin into an empty space.

Type (1) move:

 P P D   D
 _ _ _ _ _

Type (2) move:

 P   D P D
 _ _ _ _ _

The underlines show the (only) five legal locations for the coins to occupy.

What is the smallest number of moves needed?

Link to comment
Share on other sites

2 answers to this question

Recommended Posts

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.


  • Recently Browsing   0 members

    • No registered users viewing this page.
  • Create New...