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Easy Puzzle #36 - 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 4 2 6 7           Easy Puzzle #36 - November 5, 2005
2         5     6   Original puzzle as published © joe-ks.com
3 8         2 7 9 1
4   7     3     8  
5     9 1 6 4      
6   6     9     3  
7 7         3 9 2 6
8         7     1  
9 6 9 8 5          
A B C D E F G H I
1 4 2 6 7           Step 1: #7 is in Columns A & B: #7 MUST go in Celll C2
2 9   7   5     6        (#7 in Row 3 @ G3 excludes use of Cell C3)
3 8         2 7 9 1
4   7     3     8   Step 2: #9 is in Column B & C: #9 MUST go in Cell A2...
5   8 9 1 6 4      
6   6     9     3   Step 3: #8 is in Columns A & C: #8 MUST go in Cell B5...
7 7         3 9 2 6
8         7     1  
9 6 9 8 5          
A B C D E F G H I
1 4 2 6 7   9       Step 4: #9 is in Rows 2 & 3: #9 MUST go in Cell F1
2 9   7   5     6        (#9 in Column E excludes use of Cell E1)
3 8         2 7 9 1
4   7     3     8   Step 5: #9 is now in Columns E & F: #9 MUST go in Cell D8
5   8 9 1 6 4            (#9 in Row 7 @ G7 excludes use of Cell D7)
6   6     9     3  
7 7         3 9 2 6
8       9 7     1  
9 6 9 8 5          
A B C D E F G H I
1 4 2 6 7 1 9       Step 6: #9 is in Columns G & H: #9 MUST go in Cell I4
2 9 1 7   5     6       (#9 in Row 5 @ C5 excludes use of Cell I5, &
3 8         2 7 9 1        #9 in Row 6 @ #6 excludes use of Cell I6)
4   7     3     8 9
5   8 9 1 6 4       Step 7: Block AA needs #1: #1 MUST go in Cell B2
6   6     9     3        (#1 in Row 3 @ I3 excludes use of Cells B3 & C3)
7 7         3 9 2 6
8       9 7     1   Step 8: #1 is now in Rows 2 & 3: E1 MUST go in Cell E1
9 6 9 8 5          
A B C D E F G H I
1 4 2 6 7 1 9       Step 9: #6 is in Rows 1 & 2: #6 MUST go in Cell D3
2 9 1 7   5     6        (#6 in Column E @ E5 excludes use of Cell E3)
3 8     6   2 7 9 1
4   7     3   6 8 9 Step 10: #6 is in Rows 5 & 6: #6 MUST go in Cell G4...
5   8 9 1 6 4      
6   6     9     3   Step 11: #6 is in Rows 7 & 9: #6 MUST go in Cell F8...
7 7         3 9 2 6
8       9 7 6   1  
9 6 9 8 5          
A B C D E F G H I
1 4 2 6 7 1 9       Step 12: #3 is in Columns E & F: #3 MUST go in Cell D2...
2 9 1 7 3 5     6  
3 8     6   2 7 9 1
4   7     3   6 8 9
5   8 9 1 6 4      
6   6     9     3  
7 7         3 9 2 6
8       9 7 6   1  
9 6 9 8 5          
A B C D E F G H I
1 4 2 6 7 1 9       Step 13: Complete Block BB: need #s 4 & 8…
2 9 1 7 3 5 8   6        #4 can't go in Cell F2 (cf #4 in Column F @ F5), so
3 8     6 4 2 7 9 1      #4 MUST go in Cell E3, & therefore #8 MUST go in Cell F2
4   7     3   6 8 9
5   8 9 1 6 4       Step 14: #4 is now in Columns E & F: #4 MUST go in Cell D7
6   6     9   1 3  
7 7     4   3 9 2 6 Step 15: #1 is in Columns H & I: #1 MUST go in Cell G6
8       9 7 6   1        #1 in Row 5 @ D5 excludes use of Cell G5)
9 6 9 8 5          
A B C D E F G H I
1 4 2 6 7 1 9       Step 16: Complete Column D: need #s 2 & 8…
2 9 1 7 3 5 8   6        #8 can't go in Cell D4 (cf #8 in Row 4 @ H4), so
3 8     6 4 2 7 9 1      #8 MUST go in Cell D6, & therefore #2 MUST go in Cell D4
4   7   2 3   6 8 9
5   8 9 1 6 4       Step 17: #2 is now in Columns D & F: #2 MUST go in Cell E9
6   6   8 9   1 3        (#2 in Row 7 @ H7 excludes use of Cell E7)
7 7     4   3 9 2 6
8       9 7 6   1  
9 6 9 8 5 2        
A B C D E F G H I
1 4 2 6 7 1 9       Step 18: Complete Column E: #8 MUST go in Cell E7
2 9 1 7 3 5 8   6  
3 8     6 4 2 7 9 1 Step 19: Row 4 needs #4: #4 MUST go in Cell C4
4   7 4 2 3   6 8 9      (#4 in Column A @ A1 excludes use of Cell A4, &
5   8 9 1 6 4              #4 in Column F @ F5 excludes use of Cell F4)
6   6   8 9   1 3 4
7 7     4 8 3 9 2 6 Step 20: #4 is now in Rows 4 & 5: #4 MUST go in Cell I6...
8       9 7 6   1  
9 6 9 8 5 2        
A B C D E F G H I
1 4 2 6 7 1 9       Step 21: #4 is in Columns A & C: #4 MUST go in Cell B8
2 9 1 7 3 5 8   6        (#4 in Row 7 @ D7 excludes use of Cell B7)
3 8     6 4 2 7 9 1
4   7 4 2 3   6 8 9 Step 22: Complete Block HH: #1 MUST go in Cell F9
5   8 9 1 6 4      
6   6   8 9   1 3 4 Step 23: #1 is now in Rows 8 & 9: #1 MUST go in Cell C7
7 7   1 4 8 3 9 2 6      (#1 in Column B @ B2 excludes use of Cell B7)
8   4   9 7 6   1  
9 6 9 8 5 2 1      
A B C D E F G H I
1 4 2 6 7 1 9       Step 24: Complete Column B: need #s 3 & 5…
2 9 1 7 3 5 8   6        #3 can't go in Cell B7 (cf #3 in Row 7 @ F7), so
3 8 3 5 6 4 2 7 9 1       #3 MUST go in Cell B3, & therefore #5 MUST go in Cell B7
4   7 4 2 3   6 8 9
5   8 9 1 6 4       Step 25: Complete Row 3 (& Block AA):
6   6   8 9   1 3 4      #5 MUST go in Cell C3
7 7 5 1 4 8 3 9 2 6
8   4   9 7 6   1  
9 6 9 8 5 2 1      
A B C D E F G H I
1 4 2 6 7 1 9       Step 26: Complete Column C: need #s 2 & 3…
2 9 1 7 3 5 8   6        #3 can't go in Cell C6 (cf #3 in Row 6 @ H6), so
3 8 3 5 6 4 2 7 9 1      #3 MUST go in Cell C8, & therefore #2 MUST go in Cell C6
4   7 4 2 3   6 8 9
5   8 9 1 6 4       Step 27: #2 is now in Columns B & C: #2 MUST go in Cell A8
6   6 2 8 9   1 3 4
7 7 5 1 4 8 3 9 2 6
8 2 4 3 9 7 6   1  
9 6 9 8 5 2 1      
A B C D E F G H I
1 4 2 6 7 1 9       Step 28: Complete Row 4: need #s 1 & 5…
2 9 1 7 3 5 8   6        #1 can't go in Cell F6 (cf #1 in Column F @ F9), so
3 8 3 5 6 4 2 7 9 1      #1 can't go in Cell F6 (cf #1 in Column F @ F9), so
4 1 7 4 2 3 5 6 8 9
5   8 9 1 6 4       Step 29: Complete Column F: #7 MUST go in Cell F6
6   6 2 8 9 7 1 3 4
7 7 5 1 4 8 3 9 2 6
8 2 4 3 9 7 6   1  
9 6 9 8 5 2 1      
A B C D E F G H I
1 4 2 6 7 1 9       Step 30: Complete Column A: need #s 3 & 5…
2 9 1 7 3 5 8 4 6 2      #3 can't go in Cell A6 (cf #3 in Row 6 @ H6), so
3 8 3 5 6 4 2 7 9 1      #3 MUST go in Cell A5, & therefore #5 MUST go in Cell A6
4 1 7 4 2 3 5 6 8 9
5 3 8 9 1 6 4       Step 31: Complete Row 2: need #s 2 & 4…
6 5 6 2 8 9 7 1 3 4      #4 can't go in Cell I2 (cf #4 in Row 6 @ I6), so
7 7 5 1 4 8 3 9 2 6      #4 MUST go in Cell G2, & therefore #2 MUST go in Cell I2
8 2 4 3 9 7 6   1  
9 6 9 8 5 2 1      
A B C D E F G H I
1 4 2 6 7 1 9       Step 32: #2 is in Columns H & I: #2 MUST go in Cell G5
2 9 1 7 3 5 8 4 6 2
3 8 3 5 6 4 2 7 9 1 Step 33: #4 is in Rows G & I: #4 MUST go in Cell H9
4 1 7 4 2 3 5 6 8 9
5 3 8 9 1 6 4 2    
6 5 6 2 8 9 7 1 3 4
7 7 5 1 4 8 3 9 2 6
8 2 4 3 9 7 6   1  
9 6 9 8 5 2 1   4  
A B C D E F G H I
1 4 2 6 7 1 9   5   Step 34: Complete Column H: need #s 5 & 7…
2 9 1 7 3 5 8 4 6 2      #7 can't go in Cell H1 (cd #7 in Row 1 @ D1), so
3 8 3 5 6 4 2 7 9 1      #7 MUST go in Cell H5, & therefore #5 MUST go in Cell H1
4 1 7 4 2 3 5 6 8 9
5 3 8 9 1 6 4 2 7 5 Step 35: Complete Block FF: #5 MUST go in Cell I5...
6 5 6 2 8 9 7 1 3 4
7 7 5 1 4 8 3 9 2 6 Step 36: #5 is now in Columns H & I: #5 MUST go in Cell G8
8 2 4 3 9 7 6 5 1        (cf #5 in Row 9 @ D9 excludes use of Cel G9)
9 6 9 8 5 2 1   4  
A B C D E F G H I
1 4 2 6 7 1 9 8 5   Step 37: Complete Column G: need #s 3 & 8…
2 9 1 7 3 5 8 4 6 2      #8 can't go in Cell G9 (cf #8 in Row 9 @ C9), so
3 8 3 5 6 4 2 7 9 1      #8 MUST go in Cell G1, & therefore #3 MUST go in Cell G9
4 1 7 4 2 3 5 6 8 9
5 3 8 9 1 6 4 2 7 5
6 5 6 2 8 9 7 1 3 4
7 7 5 1 4 8 3 9 2 6
8 2 4 3 9 7 6 5 1  
9 6 9 8 5 2 1 3 4  
A B C D E F G H I
1 4 2 6 7 1 9 8 5 3 Step 38: Complete Block CC: #3 MUST go in Cell I1...
2 9 1 7 3 5 8 4 6 2
3 8 3 5 6 4 2 7 9 1 Step 39: Complete Block II (& Puzzle): need #s 7 & 8…
4 1 7 4 2 3 5 6 8 9      #7 can't go in Cell I8 (cf #7 in row 8 @ E8), so
5 3 8 9 1 6 4 2 7 5      #7 MUST go in Cell I9, & therefore #8 MUST go in Cell I8
6 5 6 2 8 9 7 1 3 4
7 7 5 1 4 8 3 9 2 6
8 2 4 3 9 7 6 5 1 8
9 6 9 8 5 2 1 3 4 7
A B C D E F G H I
1 4 2 6 7 1 9 8 5 3 45 Final Proof:
2 9 1 7 3 5 8 4 6 2 45      - All Rows add up to 45;
3 8 3 5 6 4 2 7 9 1 45
4 1 7 4 2 3 5 6 8 9 45
5 3 8 9 1 6 4 2 7 5 45
6 5 6 2 8 9 7 1 3 4 45
7 7 5 1 4 8 3 9 2 6 45
8 2 4 3 9 7 6 5 1 8 45
9 6 9 8 5 2 1 3 4 7 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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