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Diabolical Puzzle #50 - One Possible Solution Approach…
NB:  There is only one final solution to this Sudoku puzzle…
A B C D E F G H I
1                  
2 AA BB CC Reference to 3x3 Blocks AA, BB & CC
3                  
4                  
5 DD EE FF Reference to 3x3 Blocks DD, EE & FF
6                  
7                  
8 GG HH II Reference to 3x3 Blocks GG, HH & II
9                  
A B C D E F G H I
1     3       6     Diabolical Puzzle #50 - November 19, 2005
2 7 5           2 1 Original puzzle as published © joe-ks.com
3                  
4     7   2   5    
5   4 1       2 6  
6 2 9           4 3
7   8 5       9 7  
8   2 6 7   1 3 8  
9       8   5      
A B C D E F G H I
1     3       6     Step 1: #7 is in Columns A & C: #7 MUST go in Cell B9...
2 7 5           2 1
3               3   Step 2: #3 is in Columns G & I: #3 MUST go in Cell H3
4     7   2   5          (#3 in Row 1 @ C1 excludes use of Cell H1)
5   4 1       2 6  
6 2 9           4 3
7   8 5       9 7  
8   2 6 7   1 3 8  
9   7   8   5      
A B C D E F G H I
1   1 3       6     Step 3: #s possible for blank cells…
2 7 5           2 1
3               3  
4     7   2   5    
5   4 1       2 6  
6 2 9 8         4 3
7   8 5       9 7  
8   2 6 7   1 3 8  
9   7   8   5   1  
A B C D E F G H I
1   1 3       6     Step 4: #1 is in Rows 8 & 9: #1 MUST go in Cell A7...
2 7 5           2 1
3               3  
4     7   2   5    
5   4 1       2 6  
6 2 9 8         4 3
7 1 8 5       9 7  
8   2 6 7   1 3 8  
9   7   8   5   1  
A B C D E F G H I
1   1 3       6     Step 5: #s possible for blank cells…
2 7 5           2 1      Unique #s in Blue…
3   6           3           i.e. For Cell B3, look at #s in: Block AA (1,3,7,5),
4     7   2   5 9                Row 3 (3), & Column B (1,5,4,9,8,2,7)
5   4 1       2 6           Therefore, only #6 can go in Cell B3…
6 2 9 8         4 3
7 1 8 5       9 7   … similarly for unique #s:
8   2 6 7   1 3 8        #9 in Cell H4;  and  #4 in Cell G9
9   7   8   5 4 1  
A B C D E F G H I
1   1 3       6 5   Step 6: #5 is in Rows 7 & 9: #5 MUST go in Cell I8...
2 7 5           2 1
3   6           3   Step 7: #5 is now in Columns G & I: #5 MUST go in Cell H1...
4     7   2   5 9  
5   4 1       2 6  
6 2 9 8         4 3
7 1 8 5       9 7  
8   2 6 7   1 3 8 5
9   7   8   5 4 1  
A B C D E F G H I
1   1 3       6 5   Step 7: #s possible for blank cells…
2 7 5         8 2 1      Unique #s in Blue…
3   6           3        #8 in G2; #3 in B4; #8 in I4; #9 in C9
4   3 7   2   5 9 8
5   4 1       2 6  
6 2 9 8         4 3
7 1 8 5       9 7  
8   2 6 7   1 3 8 5
9   7 9 8   5 4 1  
A B C D E F G H I
1   1 3       6 5   Step 8: #s possible for blank cells…
2 7 5 4       8 2 1      Unique #s in Blue…
3   6         7 3        #4 in C2; #7 in G3; #6 in A4; #5 in A5; #7 in I5; #4 in A8; and
4 6 3 7   2   5 9 8      #3 in A9
5 5 4 1       2 6 7
6 2 9 8         4 3
7 1 8 5       9 7  
8 4 2 6 7   1 3 8 5
9 3 7 9 8   5 4 1  
A B C D E F G H I
1   1 3       6 5   Step 9: #2 is in Columns A & B: #2 MUST go in Cell C3
2 7 5 4       8 2 1
3   6 2       7 3   Step 10: Complete Column G: #1 MUST go in Cell G6...
4 6 3 7   2   5 9 8
5 5 4 1       2 6 7 Step 11: #9 is in Rows 7 & 9: #9 MUST go in Cell E8
6 2 9 8       1 4 3
7 1 8 5       9 7  
8 4 2 6 7 9 1 3 8 5
9 3 7 9 8   5 4 1  
A B C D E F G H I
1   1 3       6 5   Step 12: #s possible for blank cells…
2 7 5 4       8 2 1      Unique #s in Blue…
3   6 2       7 3        #4 in F4; #6 in E9
4 6 3 7 1 2 4 5 9 8
5 5 4 1       2 6 7 Step 13: Complete Row 9: #2 MUST go in Cell I9...
6 2 9 8       1 4 3
7 1 8 5       9 7   Step 14: #1 is in Rows 5 & 6: #1 MUST go in Cell D4...
8 4 2 6 7 9 1 3 8 5
9 3 7 9 8 6 5 4 1 2
A B C D E F G H I
1   1 3       6 5   Step 14: #s possible for blank cells…
2 7 5 4   3   8 2 1      Unique #s in Blue…
3   6 2       7 3        #3 in E2; #8 in E5; #$ in E7; #6 in I7
4 6 3 7 1 2 4 5 9 8
5 5 4 1   8   2 6 7
6 2 9 8       1 4 3
7 1 8 5   4   9 7 6
8 4 2 6 7 9 1 3 8 5
9 3 7 9 8 6 5 4 1 2
A B C D E F G H I
1   1 3   7   6 5   Step 15: #s possible for blank cells…
2 7 5 4   3   8 2 1      Unique #s in Blue…
3   6 2       7 3        #7 in E1; 
4 6 3 7 1 2 4 5 9 8
5 5 4 1   8   2 6 7 Step 16: #7 is now in Columns D & E: #7 MUST go in Cell F6
6 2 9 8     7 1 4 3      (#7 in Row 5 @ I5 excludes use of Cell F5)
7 1 8 5   4   9 7 6
8 4 2 6 7