[throwathrowaway]

Thank you for writing this (and your last comment) out explicitly. The quantum mechanics description confused me (and possibly other from reading the thread here). Although I can understand how that inspired this work in the first place.

The algorithm used is exactly what you described here. It wasn't obvious to me that probability density functions were not tracked (the algorithm only tracks which NxN patch are allowed at each location) and randomness only come into play when a random valid choice is made, and there each valid patch is chosen probability proportional to its number of occurrence in the input.