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Apr 10th, 2015
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  1. Consider this part of the net:
  2.  
  3. #|#.
  4. #|.#
  5. -+--
  6. .|##
  7.  
  8. If it's filled in like this:
  9.  
  10. 1|2.
  11. 2|.1
  12. -+--
  13. .|12
  14.  
  15. then switching the 1s and 2s like so:
  16.  
  17. 2|1.
  18. 1|.2
  19. -+--
  20. .|21
  21.  
  22. produces another solution.
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