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Wednesday, July 23, 2008

Colored Grid

Consider a grid of size 4 x 4 (i.e. sixteen squares), where all squares should get a color. The colored grid should meet the following conditions:

* 4 squares should be colored blue,
* 3 squares should be colored red,
* 3 squares should be colored white,
* 3 squares should be colored green,
* 3 squares should be colored yellow, and
* no color may appear more than once in any horizontal, vertical, or diagonal line.

The Question: How can the grid be colored?

A Hint: Start with colouring the four blue squares confirm the conditions. Then, try to add the other colours in a symmetrical way.

Answer: This is how the grid can be colored to meet the conditions:


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