Jump to content
BrainDen.com - Brain Teasers
  • 0

Moving South and East


The southeast puzzle is played on a semi-infinite chessboard, starting at its northwest (top left) corner. There are three rules:

  1. In the starting position, one piece is placed in the northwest-most square, as shown in (a).
  2. It is not permitted for more than one piece to be on any given square.
  3. At each step, you remove one piece from the board, and replace it with two pieces, one in the square immediately to the East, and one in the the square immediately to the South, as illustrated in (b). Every such step increases the number of pieces on the board by one.

After move (b) has been made, either piece may be selected for the next move. © shows the outcome of moving the lower piece. At the next move, either the lowest piece or the middle piece of the three may be selected; the uppermost piece may not be selected, since that would violate rule 2. At move (d) we have selected the middle piece. Now any of the pieces may be moved, except for the leftmost piece.


Puzzle: Is it possible to obtain a position in which all of the ten squares closest to the northwest corner, marked in the rightmost figure (z), are empty?

Share this post

Link to post
Share on other sites

1 answer to this question

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

  • Recently Browsing   0 members

    No registered users viewing this page.