Ken's Puzzle of the Week
Patterns of Circles in a Grid
|| ||Fill a grid with black, white and gray circles, such that:
An example 3x3 grid is shown.
- Each black circle neighbors an even number of black circles (0 may be
- Each white circle neighbors an odd number of white circles.
- Each gray circle neighbors an equal number of black and white circles.
Try to solve the puzzle for 3x3 to 6x6 grids with the following different requirements:
- Maximize the number of black circles.
- Maximize the number of white circles.
- Minimize the number of gray circles. Can a grid be made without any?
- Evenly distribute the circles. That is, minimize the difference between the max and min colors.
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