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My variation on that method:

1. load my brain with all the context of the problem

2. go out for a run, which bounces it all around in my brain until things fall into place

3. write the solution when I get back

A lazier step 2 that works for me is to sleep for a full night.

This is also well known in the Clojure community as Hammock-Driven Development [1].

This diffuse mode learning (vs focused). Barbara Oakley’s book and course go into detail about leveraging the science of how we learn.