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Junior Puzzle #6 - 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       2 9 4 8 3 5 Junior Puzzle #6 - November 12, 2005
2 5 4 9       1 2 7 Original puzzle as published © joe-ks.com
3 2 8 3 5 7 1      
4 1     3 2 5 7 9 8
5 7 5 2 1     3 6 4
6 9 3 8 6 4 7 2    
7 4 7   9 3 2 5 8 6
8 3 9 6 7 5   4 1 2
9 8 2 5 4 1 6 9 7  
A B C D E F G H I
1 6     2 9 4 8 3 5 Step 1: Column A needs one more #: #6 Must go in Cell A1...
2 5 4 9 8     1 2 7
3 2 8 3 5 7 1 6     Step 2: Column D needs one more #: #8 Must go in Cell D2...
4 1     3 2 5 7 9 8
5 7 5 2 1     3 6 4 Step 3: Column G needs one more #: #6 Must go in Cell G3...
6 9 3 8 6 4 7 2    
7 4 7   9 3 2 5 8 6
8 3 9 6 7 5   4 1 2
9 8 2 5 4 1 6 9 7  
A B C D E F G H I
1 6     2 9 4 8 3 5 Step 4: Row 7 needs one more #: #1 MUST go in Cell C7
2 5 4 9 8     1 2 7
3 2 8 3 5 7 1 6     Step 5: Row 8 needs one more #: #8 MUST go in Cell F8
4 1     3 2 5 7 9 8
5 7 5 2 1     3 6 4 Step 6: Row 9 needs one more #: #3 MUST go in Cell I9
6 9 3 8 6 4 7 2    
7 4 7 1 9 3 2 5 8 6
8 3 9 6 7 5 8 4 1 2
9 8 2 5 4 1 6 9 7 3
A B C D E F G H I
1 6     2 9 4 8 3 5 Step 7: Complete Row 6: need 2 more numbers: #1 & #5…
2 5 4 9 8     1 2 7      #1 can't go in Cell H6 (because #1 is already in Column H
3 2 8 3 5 7 1 6           @ H8 - and #1 can only go once in Column H), so
4 1     3 2 5 7 9 8      #1 MUST go in Cell I6, & therefore the other # (#5) MUST
5 7 5 2 1     3 6 4      go in the only remaining Cell - at Cell H6
6 9 3 8 6 4 7 2 5 1
7 4 7 1 9 3 2 5 8 6
8 3 9 6 7 5 8 4 1 2
9 8 2 5 4 1 6 9 7 3
A B C D E F G H I
1 6     2 9 4 8 3 5 Now we only need one number for Columns H & I…
2 5 4 9 8     1 2 7 Step 8: Completet Column H: #4 MUST go in Cell H3
3 2 8 3 5 7 1 6 4 9
4 1     3 2 5 7 9 8 Step 9: Complete Column I: #9 MUST go in Cell I3
5 7 5 2 1     3 6 4
6 9 3 8 6 4 7 2 5 1
7 4 7 1 9 3 2 5 8 6
8 3 9 6 7 5 8 4 1 2
9 8 2 5 4 1 6 9 7 3
A B C D E F G H I
1 6     2 9 4 8 3 5 Step 10: Complete Block EE: need #s 8 & 9…
2 5 4 9 8     1 2 7      #9 can't go in Cell E5 (cf #9 in Column E @ E1), so
3 2 8 3 5 7 1 6 4 9      #9 MUST go in Cell F5, & therefore #8 MUST go in Cell E5
4 1     3 2 5 7 9 8
5 7 5 2 1 8 9 3 6 4
6 9 3 8 6 4 7 2 5 1
7 4 7 1 9 3 2 5 8 6
8 3 9 6 7 5 8 4 1 2
9 8 2 5 4 1 6 9 7 3
A B C D E F G H I
1 6     2 9 4 8 3 5 Step 11: Complete Column E: #6 MUST go in Cell E2...
2 5 4 9 8 6 3 1 2 7
3 2 8 3 5 7 1 6 4 9 Step 12: Complete Column F: #3 MUST go in Cell F2...
4 1     3 2 5 7 9 8
5 7 5 2 1 8 9 3 6 4
6 9 3 8 6 4 7 2 5 1
7 4 7 1 9 3 2 5 8 6
8 3 9 6 7 5 8 4 1 2
9 8 2 5 4 1 6 9 7 3
A B C D E F G H I
1 6 1 7 2 9 4 8 3 5 Step 13: Complete Block AA: need #s 1 & 7…
2 5 4 9 8 6 3 1 2 7      #1 can't go in Cell C1 (see #1 in Column C @ C7), so
3 2 8 3 5 7 1 6 4 9      #1 MUST go in Cell B1, & therefore #7 MUST go in Cell C1
4 1     3 2 5 7 9 8
5 7 5 2 1 8 9 3 6 4
6 9 3 8 6 4 7 2 5 1
7 4 7 1 9 3 2 5 8 6
8 3 9 6 7 5 8 4 1 2
9 8 2 5 4 1 6 9 7 3
A B C D E F G H I
1 6 1 7 2 9 4 8 3 5 Step 14: Complete Block DD (& complete the Puzzle):
2 5 4 9 8 6 3 1 2 7      need #s 4 & 6…
3 2 8 3 5 7 1 6 4 9      #4 can't go in Cell B4 (see #4 in Column B @ B2), so
4 1 6 4 3 2 5 7 9 8      #4 MUST go in Cell C4, & thererfore #6 MUST go in Cell B4.
5 7 5 2 1 8 9 3 6 4
6 9 3 8 6 4 7 2 5 1
7 4 7 1 9 3 2 5 8 6
8 3 9 6 7 5 8 4 1 2
9 8 2 5 4 1 6 9 7 3
A B C D E F G H I
1 6 1 7 2 9 4 8 3 5 45 Final Proof:
2 5 4 9 8 6 3 1 2 7 45      - All Rows add up to 45;
3 2 8 3 5 7 1 6 4 9 45
4 1 6 4 3 2 5 7 9 8 45
5 7 5 2 1 8 9 3 6 4 45
6 9 3 8 6 4 7 2 5 1 45
7 4 7 1 9 3 2 5 8 6 45
8 3 9 6 7 5 8 4 1 2 45
9 8 2 5 4 1 6 9 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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