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Comment by StilesCrisis

Read to the end: they aren't actually looking for the best-compressing output, because this quickly devolves into aaaaaaaaaaa. They keep a sliding window over a small portion of recent text and use that.

Basically I think the entire premise falls apart due to that choice--they forced an interesting-looking outcome by adjusting the algorithm until gzip started picking random slabs of letters instead of ever-larger repeating runs.

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