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  • ...more combinations than grains of sand on the beach...
  • combinatorial problems...also found in practical industry problems
  • and in science, such as understanding how proteins fold
  • new approach...step by step
  • examples created by scrambling a cube then running it in reverse
  • results: traditional method stops at 5 rotations, new method carries on to over 10 rotations
  • summary—step by step learning is powerful idea. Perhaps this could be used for other applications, such as removing noise from old films
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