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flapjack-fwop-solver's Issues

Change the cache to work based on K/V pairs

Currently the cache is mostly full of zeros. Since it's less than half full, we'd get a good savings by storing K/V pairs instead of directly indexed keys. For fast lookup, we should store them ordered by key, and do a binary search in the file to find the solution.

Write a README

Its nice to give people some information about what the code does.

Use symmetry

We're working with a 5x5 grid, so we've got lots of symmetry we could take advantage of:

  • Horizontal/vertical reflections
  • 90ΒΊ rotations

Depending on how the patterns collide, this could cut down the total size of the cache by 2x, 4x, 8x even.

Implementation ideas:
Have some system for deciding which orientation of a board is canonical (the numerically lowest one?) and only store that one, transforming all boards into canonical form before they're handled.

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