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#1: Web Paint-By-Number Robot (webpbn) on Jul 25, 2019

Found to have a unique solution by gator.

Found to be trivial to solve by gator.

that was without a doubt the most difficult puzzle i've ever seen

If dots-to-blots ratio was indeed the primary indicator of difficulty, well...

...as a governing metric, we must consider that DTBR's behavior is non-linear. it only correlates with difficulty in a mid-range band. once you push into high-DTBR, the system effectively collapses into a near-deterministic state. the inverse DTBR is where it gets interesting. as DTBR^-1 -> 0, ambiguity drops faster than the ratio itself would suggest. additional dots stop adding complexity and start adding redundancy, accelerating convergence. so while DTBR has some directional value, in cases like this it is primarily confirmational.

Wait, wouldn't the inverse of DTBR be RBTD? Running Back Touchdowns?

only under very specific boundary conditions. once the system enters a goal-line state, RTBD spikes, but i think that's a short yardage artifact, not a reliable difficulty metric

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