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Medium Puzzle #35 - 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   Medium Puzzle #35 - November 4, 2005
2 3 6 7       9 4 5 Original puzzle as published © joe-ks.com
3 8   5 7   6 2    
4       1 2 5      
5         6        
6       9 7 8      
7 9   2 6   1 8   7
8 6 8 3       5 2 1
9   7           9  
A B C D E F G H I
1   1         7 6   Step 1: #7 is in Rows 2 & 3: #7 MUST go in Cell G1…
2 3 6 7       9 4 5
3 8   5 7   6 2     Step 2: Row 8 needs #7: #7 MUST go in Cell F8
4       1 2 5            (#7 is Column D excludes use of Cell D8, &
5         6                #7 in Column E excludes use of Cell E8)
6       9 7 8      
7 9   2 6   1 8   7
8 6 8 3     7 5 2 1
9   7           9  
A B C D E F G H I
1   1       9 7 6   Step 3: #9 is in Rows 7 & 9: #9 MUST go in Cell E8
2 3 6 7       9 4 5      (#9 in Column D @ D6 excludes use of Cell D8)
3 8 9 5 7   6 2    
4       1 2 5       Step 4: #9 is now in Columns D & E: #9 MUST go in Cell F1
5         6              (#9 in Row 2@ G2 excludes use of Cell F2)
6       9 7 8      
7 9   2 6   1 8   7 Step 5: #9 is now in Rows 1 & 2: #9 MUST go in Cell B3…
8 6 8 3   9 7 5 2 1
9   7           9  
A B C D E F G H I
1 2 1 4     9 7 6   Step 6: Complete Block AA: need #s 2 & 4…
2 3 6 7       9 4 5      #2 can't go in Cell C1 (cf #2 in Column C @ C7), so
3 8 9 5 7 4 6 2          #2 MUST go in Cell A1, & therefore #4 MUST go in Cell C1
4       1 2 5      
5         6 4       Step 7: #4 is now in Rows 1 & 2: #4 MUST go in Cell E3…
6       9 7 8      
7 9   2 6   1 8   7 Step 8: Complete Row 8: #4 MUST go in Cell D8...
8 6 8 3 4 9 7 5 2 1
9   7           9   Step 9: #4 is now in Columns D & E: #4 MUST go in Cell F5
A B C D E F G H I
1 2 1 4     9 7 6   Step 10: Complete Block EE: #3 MUST go in Cell D5…
2 3 6 7       9 4 5
3 8 9 5 7 4 6 2    
4       1 2 5      
5       3 6 4      
6       9 7 8      
7 9   2 6   1 8   7
8 6 8 3 4 9 7 5 2 1
9   7           9  
A B C D E F G H I
1 2 1 4     9 7 6   Step 11: Complete Column F: need #s 2 & 3…
2 3 6 7     2 9 4 5      #3 can't go in Cell F2 (cf #3 in Row 2 @ A2), so
3 8 9 5 7 4 6 2          #3 MUST go in Cell F9, & therefore #2 MUST go in Cell F2
4       1 2 5      
5       3 6 4       Step 12: #3 is now in Rows 8 & 9: #3 MUST go in Cell H7…
6       9 7 8      
7 9   2 6   1 8 3 7
8 6 8 3 4 9 7 5 2 1
9   7       3   9  
A B C D E F G H I
1 2 1 4     9 7 6 8 Step 13: Complete Row 7: need #s 4 & 5…
2 3 6 7     2 9 4 5      #4 can't go in Cell E7 (cf #4 in Column E @ E3), so
3 8 9 5 7 4 6 2          #4 MUST go in Cell B7, & therefore #5 MUST go in Cell E7
4       1 2 5      
5       3 6 4       Step 14: Block CC needs #8: #8 MUST go in Cell I1
6       9 7 8            (#8 in Row 3 @ A3 excludes use of Cell H3 & I3)
7 9 4 2 6 5 1 8 3 7
8 6 8 3 4 9 7 5 2 1
9   7       3   9  
A B C D E F G H I
1 2 1 4     9 7 6 8 Step 15: Complete Block CC: need #s 1 & 3…
2 3 6 7   1 2 9 4 5      #3 can't go in Cell H3 (cf #3 in Column H @ H7), so
3 8 9 5 7 4 6 2 1 3      #3 MUST go in Cell I3, & therefore #1 MUST go in Cell H3
4       1 2 5      
5       3 6 4       Step 16: #1 is now in Rows 1 & 3: #1 MUST go in Cell E2
6       9 7 8            (#1 in Column D @ D4 excludes use of Cell D2)
7 9 4 2 6 5 1 8 3 7
8 6 8 3 4 9 7 5 2 1
9   7       3   9  
A B C D E F G H I
1 2 1 4     9 7 6 8 Step 17: #8 is in Rows 1 & 3: #8 MUST go in Cell D2…
2 3 6 7 8 1 2 9 4 5
3 8 9 5 7 4 6 2 1 3
4       1 2 5      
5       3 6 4      
6       9 7 8      
7 9 4 2 6 5 1 8 3 7
8 6 8 3 4 9 7 5 2 1
9   7       3   9  
A B C D E F G H I
1 2 1 4 5 3 9 7 6 8 Step 18: Complete Block BB: need #s 3 & 5…
2 3 6 7 8 1 2 9 4 5      #3 can't go in Cell D1 (cf #3 in Column D @ D5), so
3 8 9 5 7 4 6 2 1 3      #3 MUST go in Cell E1, & therefore #5 MUST go in Cell D1
4       1 2 5      
5       3 6 4       Step 19: Complete Column D: #2 MUST go in Cell D9…
6       9 7 8      
7 9 4 2 6 5 1 8 3 7 Step 20: Complete Column E: #8 MUST go in Cell E9…
8 6 8 3 4 9