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  Goal I
      
  Write a program to find
  
    any and all solutions
    (There can be 0, 1, or many solutions)
    
  Use a Search and Backtrack algorithm.
  
  Result:
  
    Fast?  Yes, but
    
    Too easy.  Not interesting.
    
    Besides, want to be efficient, so
      deduce to reduce the options.
  

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