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  Define a new matrix M which is 9 by 9 by 9.
  
  M represents, for each cell in A,
    the remaining possible values for that cell.
  
  Each cell in M shows the values which might fit
    into the corresponding cell of A.
  
  
a  ..8 | .7. | .1.        POK Journal 060503  Three Dark Stars                                   
b  1.6 | .3. | 7..        10:07:40.610 060503                                                    
c  .4. | 9.. | .2.        Iteration counts       0  0  0                                         
   ----+-----+----    <-- Blank cell count      51                                               
d  .8. | .23 | ..5        Nonblank cell count  163                                               
e  3.. | ... | ..2          |                                                                    
f  5.. | 19. | .6.          |                                                                    
   ----+-----+----          V                                                                    
g  .6. | ..9 | .3.                                                                               
h  ..5 | .8. | 2.9                                                                               
i  .3. | .1. | 4..                                                                               

1 2 3 4 5 6 7 8 9 .---------.---------.---------..---------.---------.---------..---------.---------.---------. a | 2 9| 2 5 9| || 2 456 | | 2 456 || 3 56 9| | 34 6 | a b | | 2 5 9| || 2 45 8 | | 2 45 8 || | 45 89| 4 8 | b c | 7 | | 3 7 || | 56 |1 56 8 || 3 56 8 | | 3 6 8 | c |---------+---------+---------++---------+---------+---------++---------+---------+---------| d | 4 67 9| |1 4 7 9|| 4 67 | | ||1 9| 4 7 9| | d e | |1 7 9|1 4 7 9|| 45678 | 456 | 45678 ||1 89| 4 789| | e f | | 2 7 | 2 4 7 || | | 4 78 || 3 8 | | 34 78 | f |---------+---------+---------++---------+---------+---------++---------+---------+---------| g | 2 4 78 | |12 4 7 || 2 45 7 | 45 | ||1 5 8 | |1 78 | g h | 4 7 |1 7 | || 34 67 | | 4 67 || | 7 | | h i | 2 789| | 2 7 9|| 2 567 | | 2 567 || | 5 78 | 678 | i '---------'---------'---------''---------'---------'---------''---------'---------'---------' 1 2 3 4 5 6 7 8 9

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