joe-ks.com


Easy Puzzle #7 - 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 7     9 Easy Puzzle #7 - October 7, 2005
2       9         4 Original puzzle as published on joe-ks.com…
3 7 9     3     2  
4         6 3 8 9  
5       2 7   3 4 1
6   1 7 4 9 8      
7     3 7     6 5  
8 8 7   3 4     1 2
9   6 1   5 9 4 7  
A B C D E F G H I
1     4   2 7     9 Step 1: #4 is in Rows 1 & 2: where does it go in Row 3?
2       9         4      Only 2 possibilities: @ Cell D3 or F3… but #4 is in
3 7 9     3 4   2        Column D (@ D6), so #4 MUST go in Cell F3…
4         6 3 8 9  
5       2 7   3 4 1 Step #2: #3 is in Rows 7 & 8: #3 MUST go in Cell I9…
6   1 7 4 9 8      
7     3 7     6 5  
8 8 7   3 4     1 2
9   6 1   5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 3: Block EE needs a #1: #1 MUST go in Cell D4…
2       9     7   4      (because #4 is in Row 5 @ H5 which excludes Cell F5)
3 7 9     3 4   2        (OR #1 is in Rows 5 & 6: #1 MUST go in Cell D4…)
4       1 6 3 8 9  
5       2 7   3 4 1 Step 4: #5 is in Rows 7 & 9: #5 MUST go in Cell C8…
6   1 7 4 9 8      
7     3 7     6 5   Step 5: #7 is in Rows 1 & 3: #7 MUST go in Cell G2…
8 8 7 5 3 4     1 2      (because #7 is in Column H @ H9 which excludes Cell H2)
9   6 1   5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 6: Only 1 cell left in Block EE:
2       9     7   4      #5 MUST go in Cell F5…
3 7 9     3 4   2  
4       1 6 3 8 9   Step 7: Row 8 needs 2 more #s: #6 & #9:
5       2 7 5 3 4 1      #9 can't go in Cell F8 since #9 is in Column F (F9):
6   1 7 4 9 8            therefore #6 MUST go in Cell F8 and #9 in Cell G8…
7     3 7     6 5  
8 8 7 5 3 4 6 9 1 2
9   6 1   5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 8: #7 is in Rows 5 & 6: #7 MUST go in Cell I4…
2       9     7   4
3 7 9     3 4   2   Step 9: #9 is in Rows 8 & 9: #9 MUST go in Cell A7
4       1 6 3 8 9 7      (because #9 is in Column B @ B3 & excludes Cell B7)
5       2 7 5 3 4 1
6   1 7 4 9 8      
7 9   3 7     6 5  
8 8 7 5 3 4 6 9 1 2
9   6 1   5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 10: Now we have #9 in Columns A & B:
2       9     7   4      #9 MUST go in Cell C5 (NB: #9 is in Row 4 & excludes C4)
3 7 9     3 4   2  
4       1 6 3 8 9 7 Step 11: Only need 1 # in Block II: #8 goes in I7…
5     9 2 7 5 3 4 1
6   1 7 4 9 8       Step 12: Block HH requires #s 1, 2 & 8:
7 9   3 7     6 5 8      Since #8 can't go in cells E7 or F7 (#8 is already in Row 7)
8 8 7 5 3 4 6 9 1 2      #8 MUST go in Cell D9…
9   6 1 8 5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 13: #8 is in Columns D & F: #8 MUST go in Cell E2…
2       9 8   7   4
3 7 9     3 4   2   Step 14: Only need 1 # for Column E: #1 MUST go in Cell E7.
4       1 6 3 8 9 7
5     9 2 7 5 3 4 1 Step 15: #2 is in Columns H & I: #2 MUST go in Cell G6…
6   1 7 4 9 8 2    
7 9   3 7 1   6 5 8
8 8 7 5 3 4 6 9 1 2
9   6 1 8 5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 16: Block FF needs 2 #s: #5 & 6:
2       9 8   7   4      #5 MUST go in Cell I6 (since #5 is in Column H @ H7);
3 7 9     3 4   2        only cell left in Block FF is H6 which must be #6…
4       1 6 3 8 9 7
5     9 2 7 5 3 4 1 Step 17: Row 9 needs 1 more #: #2 MUST go in Cell A9…
6   1 7 4 9 8 2 6 5
7 9   3 7 1   6 5 8
8 8 7 5 3 4 6 9 1 2
9 2 6 1 8 5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 18: Block HH needs 1 #: #2 MUST go in Cell F7…
2       9 8   7   4
3 7 9     3 4   2   Step 19: Block GG needs 1 #: #4 MUST go in Cell B7…
4 4     1 6 3 8 9 7
5     9 2 7 5 3 4 1 Step 20: #4 is now in Columns B & C: # 4 MUST go in Cell A4
6   1 7 4 9 8 2 6 5      because #4's in Rows 5 & 6 exclude Cells A5 & A6;
7 9 4 3 7 1 2 6 5 8
8 8 7 5 3 4 6 9 1 2
9 2 6 1 8 5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 21: Column F needs 1#: #1 MUST go in Cell F2…
2       9 8 1 7   4
3 7 9     3 4   2   Step 22: #5 is in Rows 5 & 6: #5 MUST go in Cell B4
4 4 5 2 1 6 3 8 9 7      (because #5 in Column C @ C8 excludes Cell C4)
5     9 2 7 5 3 4 1
6   1 7 4 9 8 2 6 5 Step 23: #2 is in Rows 5 & 6: #2 MUST go in Cell C4…
7 9 4 3 7 1 2 6 5 8      (NB: this also is the last remaining cell for Row 4…)
8 8 7 5 3 4 6 9 1 2
9 2 6 1 8 5 9 4 7 3
A B C D E F G H I
1     4   2 7     9 Step 24: Row 5 needs 2 more #s: #6 & 8:
2       9 8 1 7   4      #6 MUST go in Cell A5 (since #6 is in Column B @ B9)
3 7 9     3 4   2        and the last remaining cell in Row 5: Cell B5 MUST be #8
4 4 5 2 1 6 3 8 9 7
5 6 8 9 2 7 5 3 4 1 Step 25: Onlly 1 cell left in Block DD:
6 3 1 7 4 9 8 2 6 5      #3 MUST go in Cell A6…
7 9 4 3 7 1 2 6 5 8