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A “Snake” is a closed path (loop) through an N-space cube.

But, the path must follow one special rule.

You must understand that rule in order to create valid snakes.

The green lines form a valid 3-space snake of length 6.

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Actually, we will be looking for maximal length paths called Great Snakes. But I will probably get lazy and refer to the Great Snakes as just snakes.