case 1:
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     1     0     0     2     3     0
     0     4     2     0     0     0
     0     0     0     0     0     0
     0     3     0     0     0     0
     0     0     1     3     0     5
     0     1     0     0     0     0

   
Solution:

     1     5     4     2     3     6
     5     4     2     1     6     3
     2     6     3     5     1     4
     4     3     5     6     2     1
     6     2     1     3     4     5
     3     1     6     4     5     2
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case 2:

     0     1     0     0     0     2     3     4     0     5
     0     0     6     7     8     0     0     0     0     9
     0     0     0     4     0     0     5     0     0     0
     0     4     1     0     0     0     0    10     2     0
     0     0     0     0     1     0     0     2     0     0
     0    10     0     0     0     0     0     0     0     2
    10     0     7     3     9     0     0     6     1     4
     4     2     0     9     0     5     0     0     0     6
     0     8     0    10     0     0     7     1     0     0

Solution:

     6     1     9     8     7     2     3     4    10     5
     2     3     6     7     8     1    10     5     4     9
     1     6     2     4     3     7     5     8     9    10
     7     4     1     6     5     3     9    10     2     8
     3     9    10     5     1     6     4     2     8     7
     8    10     3     1     4     9     6     7     5     2
    10     5     7     3     9     8     2     6     1     4
     4     2     8     9    10     5     1     3     7     6
     9     8     5    10     2     4     7     1     6     3
     5     7     4     2     6    10     8     9     3     1
     
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