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Bored with their spiral-shaped yellow brick road, the Munchkins have decided to build a new, more angular, road, coloured red and blue and laid out using a cartesian coordinate system.
You have been asked to design some possible new roads, but must follow these very particular rules laid down by the Munchkins:
Can you detemine which of these roads could satisfy the Munchkins' rules given a coordinate system of your choice?
How many roads which would not satisfy EXACTLY ONE of the Munchkins' rules can you make using 2, 3 or 4 tiles?