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But since there is no head or tail to the snake, you can start anywhere on the snake, and list the points as you follow the path back to your starting point.

0000

0001

0011

0111

1111

1110

1100

1000

1111

0111

0011

0001

0000

1000

1100

1110

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Each point on the snake is adjacent to the next point on the snake. If you list them out of order, that adjacency will be disrupted and it won’t be a snake.