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Easy Puzzle #48 - 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         5         Easy Puzzle #48 - November 17, 2005
2     3 1 7 9 4     Original puzzle as published © joe-ks.com
3 4 6 9 2   3 5 1 7
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8     2 8 4 7 9    
9         6        
A B C D E F G H I
1     8   5   2     Step 1: #8 is in Columns A & B: #8 MUST go in Cell C1...
2     3 1 7 9 4    
3 4 6 9 2 8 3 5 1 7 Step 2: #8 is in Columns D & F: #8 MUST go in Cell E3...
4 8 2 4            
5 3 9 6             Step 3: #2 is in Columns H & I: #2 MUST go in Cell G1...
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8     2 8 4 7 9    
9         6        
A B C D E F G H I
1     8   5 6 2     Step 4: Complete Column C: #1 MUST go in Cell C9...
2     3 1 7 9 4    
3 4 6 9 2 8 3 5 1 7 Step 5: #6 is in Columns D & E: #6 MUST go in Cell F1...
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8     2 8 4 7 9    
9     1   6        
A B C D E F G H I
1 1   8 4 5 6 2     Step 6: Complete Block BB: #4 MUST go in Cell D1...
2     3 1 7 9 4    
3 4 6 9 2 8 3 5 1 7 Step 7: #1 is in Columns B & C: #1 MUST go in Cell A1
4 8 2 4                  (#1 in Row 2 @ D2 excludes use of Cell A2)
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8     2 8 4 7 9    
9     1   6        
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 8: Block AA needs #7: #7 MUST go in Cell B1
2     3 1 7 9 4          (#7 in Row 2 @ E2 excludes use of Cells A2, B2 & C2)
3 4 6 9 2 8 3 5 1 7
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8     2 8 4 7 9    
9     1   6        
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 9: Complete Block AA: need #s 2 & 5…
2 2 5 3 1 7 9 4          #2 can't go in Cell B2 (cf #2 in Column B @ B4), so
3 4 6 9 2 8 3 5 1 7      #2 MUST go in Cell A2, & therefore #5 MUST go in Cell B2
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8     2 8 4 7 9    
9     1   6        
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 10: Complete Column A: need #s 5 & 6…
2 2 5 3 1 7 9 4          #6 can't go in Cell A9 (cf #6 in Row 9 @ E9), so
3 4 6 9 2 8 3 5 1 7      #6 MUST go in Cell A8, & therefore #5 MUST go in Cell A9
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6   2 8 4 7 9    
9 5   1   6        
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 11: Complete Block GG: need #s 3 & 4…
2 2 5 3 1 7 9 4          #4 can't go in Cell B8 (cf #4 in Row 8 @ E8), so
3 4 6 9 2 8 3 5 1 7      #4 MUST go in Cell B9, & therefore #3 MUST go in Cell B8
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9    
9 5 4 1   6        
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 12: Complete Block HH: need #s 2 & 9…
2 2 5 3 1 7 9 4          #2 can't go in Cell D9 (cf #2 in Column D @ D3), so
3 4 6 9 2 8 3 5 1 7      #2 MUST go in Cell F9, & therefore #9 MUST go in Cell D9
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9    
9 5 4 1 9 6 2      
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 13: Complete Row 8: need #s 1 & 5…
2 2 5 3 1 7 9 4          #1 can't go in Cell H8 (cf #1 in Column H @ H3), so
3 4 6 9 2 8 3 5 1 7      #1 MUST go in Cell I8, & therefore #5 MUST go in Cell H8
4 8 2 4            
5 3 9 6            
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2      
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 14: Complete Column D: need #s 3 & 7…
2 2 5 3 1 7 9 4          #3 can't go in Cell D5 (cf #3 in Row 5 @ A5), so
3 4 6 9 2 8 3 5 1 7      #3 MUST go in Cell D4, & therefore #7 MUST go in Cell D5
4 8 2 4 3          
5 3 9 6 7          
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2      
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 15: Complete Column E: need #s 1 & 2…
2 2 5 3 1 7 9 4          #2 can't go in Cell E4 (cf #2 in Row 4 @ E4), so
3 4 6 9 2 8 3 5 1 7      #2 MUST go in Cell E5, & therefore #1 MUST go in Cell E4
4 8 2 4 3 1        
5 3 9 6 7 2        
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2      
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 16: Complete Block EE: need #s 4 & 5…
2 2 5 3 1 7 9 4          #4 can't go in Cell F4 (cf #4 in Row 4 @ C4), so
3 4 6 9 2 8 3 5 1 7      #4 MUST go in Cell F5, & therefore #5 MUST go in Cell F4
4 8 2 4 3 1 5      
5 3 9 6 7 2 4      
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2      
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 17: Row 5 needs #1: #1 MUST go in Cell G5
2 2 5 3 1 7 9 4          (#1 in Column H @ H3 excludes use of Cell H5, &
3 4 6 9 2 8 3 5 1 7        #1 in Column I @ I8 excludes use of Cell I5)
4 8 2 4 3 1 5      
5 3 9 6 7 2 4 1    
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2      
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 18: Complete Row 5: need #s 5 & 8…
2 2 5 3 1 7 9 4          #5 can't go in Cell H5 (cf #5 in Column H @ H8), so
3 4 6 9 2 8 3 5 1 7     #5 MUST go in Cell I5, & therefore #8 MUST go in Cell H5
4 8 2 4 3 1 5      
5 3 9 6 7 2 4 1 8 5
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2      
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 19: Complete Column G: need #s 7 & 8…
2 2 5 3 1 7 9 4          #8 can't go in Cell G4 (cf #8 in Row 4 @ A4), so
3 4 6 9 2 8 3 5 1 7      #8 MUST go in Cell G9, & therefore #7 MUST go in Cell G4
4 8 2 4 3 1 5 7    
5 3 9 6 7 2 4 1 8 5 Step 20: #7 is now in Columns G & I: #7 MUST go in Cell H9
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2 Step 21: Complete Block II: #3 MUST go in Cell I9
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2 8 7 3
A B C D E F G H I
1 1 7 8 4 5 6 2     Step 22: Complete Row 2: need #s 6 & 8…
2 2 5 3 1 7 9 4 6 8      #8 can't go in Cell H2 (cf #8 in Column H @ H5), so
3 4 6 9 2 8 3 5 1 7      #8 MUST go in Cell I2, & therefore #6 MUST go in Cell H2
4 8 2 4 3 1 5 7   6
5 3 9 6 7 2 4 1 8 5 Step 23: #6 is now in Columns G & H: #6 MUST go in Cell I4...
6 7 1 5 6 9 8 3 2 4
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2 8 7 3
A B C D E F G H I
1 1 7 8 4 5 6 2 3 9 Step 24: Complete Column I: #9 MUST go in Cell I1...
2 2 5 3 1 7 9 4 6 8
3 4 6 9 2 8 3 5 1 7 Step 25: Complete Block CC: #3 MUST go in Cell H1...
4 8 2 4 3 1 5 7 9 6
5 3 9 6 7 2 4 1 8 5 Step 26: Complete Block FF (& Puzzle):
6 7 1 5 6 9 8 3 2 4      #9 MUST go in Cell H4.
7 9 8 7 5 3 1 6 4 2
8 6 3 2 8 4 7 9 5 1
9 5 4 1 9 6 2 8 7 3
A B C D E F G H I
1 1 7 8 4 5 6 2 3 9 45 Final Proof:
2 2 5 3 1 7 9 4 6 8 45      - All Rows add up to 45;
3 4 6 9 2 8 3 5 1 7 45
4 8 2 4 3 1 5 7 9 6 45
5 3 9 6 7 2 4 1 8 5 45
6 7 1 5 6 9 8 3 2 4 45
7 9 8 7 5 3 1 6 4 2 45
8 6 3 2 8 4 7 9 5 1 45
9 5 4 1 9 6 2 8 7 3 45
 
45 45 45 45 45 45 45 45 45      - All Columns add up to 45;
 
45 45 45      - All 3x3 Blocks add up to 45…
45 45 45
45 45 45

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