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Medium Puzzle #52 - 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 1       6       8 Medium Puzzle #52 - November 21, 2005
2 9       2       3 Original puzzle as published © joe-ks.com
3 8 5     3     6 4
4 7 6     1     8 9
5 2 8     5     1 7
6   4 1   9     2 6
7     8 6 4 2 9    
8       9 7 3      
9         8        
A B C D E F G H I
1 1       6       8 Step 1: #6 is in Rows 1 & 3: #6 MUST go in Cell C2
2 9   6   2       3      (cf #6 in Column B @ B4 excludes use of Cell B2)
3 8 5     3     6 4
4 7 6     1     8 9 Step 2: #6 is in Rows 4 & 6: #6 MUST go in Cell F5
5 2 8     5 6   1 7      (cf #6 in Column D @ D7 excludes use of Cell D5)
6   4 1   9     2 6
7     8 6 4 2 9    
8       9 7 3      
9         8        
A B C D E F G H I
1 1   4   6     9 8 Step 3: #9 is in Collumns G & I: #9 MUST go in Cell H1
2 9   6   2       3      (cf #9 in Row 2 @ A2 excludes use of Cell H2)
3 8 5     3 9   6 4
4 7 6     1     8 9 Step 4: #9 is now in Rows 1 & 2: #9 MUST go in Cell F3
5 2 8     5 6   1 7     (#9 in Column D @ D8 excludes use of Cell D3)
6   4 1   9     2 6
7     8 6 4 2 9     Step 5: Block A needs #4: #4 MUST go in Cell C1
8       9 7 3           (#4 in Column B @ B6 exclude use of Cells B1 & B2, &
9         8                #4 in Row 3 @ I3 excludes use of Cell C3)
A B C D E F G H I
1 1 3 4   6     9 8 Step 6: #2 is in Rows 5 & 6: #2 MUST go in Cell D4
2 9   6   2       3      (#2 in Column F @ F7 excludes use of Cell F4)
3 8 5     3 9   6 4
4 7 6   2 1     8 9 Step 7: #3 is in Rows 2 & 3: #3 MUST go in Cell B1...
5 2 8     5 6   1 7
6   4 1   9     2 6
7     8 6 4 2 9    
8       9 7 3      
9         8        
A B C D E F G H I
1 1 3 4   6   2 9 8 Step 8: Complete Block AA: need #s 2 & 7…
2 9 7 6   2       3      #2 can't go in Cell B2 (cf #2 in Row 2 @ E2), so
3 8 5 2   3 9   6 4      #2 MUST go in Cell C3, & therefore #7 MUST go in Cell B2
4 7 6   2 1     8 9
5 2 8     5 6   1 7 Step 9: #2 is now in Rows 2 & 3: #2 MUST go in Cell G1...
6   4 1   9     2 6
7     8 6 4 2 9 7   Step 10: #7 is now in Columns A & B: #7 MUST go in Cell C9
8       9 7 3       Step 11: #7 is now in Rows 8 & 9: #7 MUST go in Cell H7
9     7   8              (#7 in Column I @ I5 excludes use of Cell I7)
A B C D E F G H I
1 1 3 4   6   2 9 8 Step 12: Block CC needs #7: #7 MUST go in Cell G3
2 9 7 6   2   1 5 3      (#7 in Row 2 @ B2 excludes use of Cells G2 & H2)
3 8 5 2 1 3 9 7 6 4
4 7 6   2 1     8 9 Step 13: Complete Block CC: need #s 1 & 5…
5 2 8     5 6   1 7      #1 can't go in Cell H2 (cf #1 in Column H @ H5), so
6   4 1   9     2 6      #1 MUST go in cell G2, & therefore #5 MUST go in Cell H2
7     8 6 4 2 9 7  
8       9 7 3       Step 14: #1 is now in Rows 1 & 2: #1 MUST go in Cell D3...
9     7   8        
A B C D E F G H I
1 1 3 4   6   2 9 8 Step 15:  Complete Column H: need #s 3 & 4…
2 9 7 6   2   1 5 3      #3 can't go in Cell H8 (cf #3 in Row 8 @ F8), so
3 8 5 2 1 3 9 7 6 4      #3 MUST go in Cell H9, & therefore #4 MUST go in Cell H8
4 7 6   2 1     8 9
5 2 8     5 6   1 7 Step 16: #3 is now in Rows 8 & 9: #3 MUST go in Cell A7
6   4 1   9     2 6      (#3 in Column B @ B1 excludes use of Cell B7)
7 3   8 6 4 2 9 7  
8       9 7 3   4   Step 17: #4 is now in Rows 7 & 8: #4 MUST go in Cell A9
9 4   7   8     3        (#4 in Column B @ B6 excludes use of Cell B9)
A B C D E F G H I
1 1 3 4 7 6 5 2 9 8 Step 18:  Complete Block HH: need #s 1 & 5…
2 9 7 6   2   1 5 3      #1 can’t go in Cell D9 (cf #1 in Column D @ D3), so
3 8 5 2 1 3 9 7 6 4      #1 MUST go in Cell F9, & therefore #5 MUST go in Cell D9
4 7 6   2 1     8 9
5 2 8     5 6   1 7 Step 19: Complete Row 1: need #s 5 & 7…
6   4 1   9 7   2 6      #5 can't go in Cell D1 (cf #5 in Step 18 @ D9), so
7 3   8 6 4 2 9 7        #5 MUST go in Cell F1, & therefore # 7 MUST go in D1
8       9 7 3   4   Step 20: #7 is now in Columns D & E: #7 MUST go in Cell F6
9 4   7 5 8 1   3        (cf #7 in Row 4 @ A4 excludes use of Cell F4)
A B C D E F G H I
1 1 3 4 7 6 5 2 9 8 Step 21: Complete Column A: need #s 5 & 6…
2 9 7 6   2   1 5 3      #6 can't go in Cell A6 (cf #6 in Row 6 @ I6), so
3 8 5 2 1 3 9 7 6 4      #6 MUST go in Cell A8, & therefore #5 MUST go in Cell A6
4 7 6   2 1     8 9
5 2 8     5 6   1 7 Step 22: #6 is now in Rows 7 & 8: #6 MUST go in Cell G9
6 5 4 1   9 7   2 6      (#6 in Column I @ I6 excludes use of Cell I9)
7 3   8 6 4 2 9 7  
8 6     9 7 3   4  
9 4   7 5 8 1 6 3  
A B C D E F G H I
1 1 3 4 7 6 5 2 9 8 Step 23: Complete Row 9: need #s 2 & 9…
2 9 7 6   2   1 5 3      #9 can't go in Cell I9 (cf #9 in Column I @ I4), so
3 8 5 2 1 3 9 7 6 4      #9 MUST go in Cell B9, & therefore #2 MUST go in Cell I9
4 7 6 3 2 1     8 9
5 2 8 9   5 6   1 7 Step 24: Complete Block DD: need #s 3 & 9…
6 5 4 1   9 7   2 6      #9 can't go in Cell C4 (cf #9 in Row 9 @ I9), so
7 3   8 6 4 2 9 7        #9 MUST go in Cell C5, & therefore #3 MUST go in Cell C4
8 6     9 7 3   4  
9 4 9 7 5 8 1 6 3 2
A B C D E F G H I
1 1 3 4 7 6 5 2 9 8 Step 25: Complete Column C: #5 MUST go in Cell C8...
2 9 7 6   2   1 5 3
3 8 5 2 1 3 9 7 6 4 Step 26: #5 is now in Rows 8 & 9: #5 MUST go in Cell I7...
4 7 6 3 2 1     8 9