Wednesday, April 20, 2011

Bejeweled Blitz

Question : Can the board be set such that no legal move is possible?

Bejeweled Blitz is a game played on an 8x8 space with 6 different color gems.
See the picture below.

The object of the game is to move the gems so that combinations are formed, hence gain points.

1) The board is set such that the same color gem does not occupy 3 consecutive spaces in any column or row.

2) A legal move consists of exchanging 2 neighboring gems (horizontally or vertically NOT diagonally) such that combinations of 3 or more are formed.

In the picture above, the highlighted yellow gem can exchange positions with the purple above it to form a combination of 3 horizontal yellows. There are other possible moves e.g. moving white to the bottom right position to form a combination of 3 vertical whites

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