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Drunkard's walk

A drunkard's walk is a path constructed according to the following rules:

There is a starting point.
The distance from any point in the path to the next point in the path is a constant.
The direction from any point in the path to the next point in the path is chosen at random.

The straight-line distance between start and finish points of a drunkard's walk of length n is O(n^1/2).

Drunkard's Walk is a 1960 science fiction novel by Frederik Pohl

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