Difficult Sudoku Eight Logic Puzzles (Vol 1) Step-by-Step Instructions for Puzzle 165   (44/64) Diff: 10/97.3242.6632 The numbers in the puzzle below refer to the step number at which the value of the location can be deduced. Locations without step numbers contain the initial values found in corresponding puzzle in your edition of the book.

Rows are numbered top to bottom, columns from left to right, and rectangles from left to right and then top to bottom. Coordinates are (col, row). Precise details on numbering within each group are specified in the on-line instructions for 'SuperSudoku-8' puzzles.

Step 1. There are 9 independent moves.

• The only spot left for 7 in the 5th 4x2 rectangle is at (2, 5).
• The only spot left for 5 in the 1st 2x4 rectangle is at (1, 4).
• The only spot left for 3 in the 1st 2x4 rectangle is at (2, 1).
• The only spot left for 3 in the 3rd 2x4 rectangle is at (5, 4).
• The only spot left for 8 in the 3rd 2x4 rectangle is at (5, 2).
• The only spot left for 7 in the 4th 2x4 rectangle is at (7, 4).
• The only spot left for 3 in the 6th 2x4 rectangle is at (4, 7).
• The only spot left for 5 in the 7th 2x4 rectangle is at (5, 5).
• The only spot left for 6 in the 8th 2x4 rectangle is at (7, 6).

Step 2. There are 7 independent moves.

• The only spot left for 1 in the 5th column is at (5, 7).
• The only spot left for 8 in the 5th 4x2 rectangle is at (3, 6).
• The only spot left for 4 in the 6th 4x2 rectangle is at (5, 6).
• The only spot left for 8 in the 6th 4x2 rectangle is at (6, 5).
• The only spot left for 5 in the 4th 2x4 rectangle is at (8, 3).
• The only spot left for 1 in the 4th 2x4 rectangle is at (7, 1).
• The only spot left for 3 in the 5th 2x4 rectangle is at (1, 5).

Step 3. There are 3 independent moves.

• The only spot left for 4 in the 7th column is at (7, 2).
• The only spot left for 1 in the 5th 4x2 rectangle is at (1, 6).
• The only spot left for 2 in the 6th 4x2 rectangle is at (7, 5).

Step 4. There are 2 independent moves.

• The only spot left for 4 in the 1st 4x2 rectangle is at (3, 1).
• The only spot left for 2 in the 4th 2x4 rectangle is at (8, 1).

Step 5. There are 4 independent moves.

• The only spot left for 5 in the 3rd column is at (3, 8).
• The only spot left for 6 in the 2nd 4x2 rectangle is at (6, 1).
• The only spot left for 5 in the 2nd 2x4 rectangle is at (4, 1).
• The only spot left for 6 in the 4th 2x4 rectangle is at (8, 4).

Step 6. There are 2 independent moves.

• The only spot left for 1 in the 3rd column is at (3, 4).
• The only spot left for 1 in the 6th 2x4 rectangle is at (4, 8).

Step 7. There are 6 independent moves.

• The only spot left for 7 in the 8th row is at (6, 8).
• The only spot left for 7 in the 4th column is at (4, 2).
• The only spot left for 2 in the 3rd 4x2 rectangle is at (2, 4).
• The only spot left for 2 in the 2nd 2x4 rectangle is at (3, 2).
• The only spot left for 1 in the 3rd 2x4 rectangle is at (6, 3).
• The only spot left for 7 in the 6th 2x4 rectangle is at (3, 7).

Step 8. There are 6 independent moves.

• The only spot left for 2 in the 8th row is at (1, 8).
• The only spot left for 6 in the 1st 4x2 rectangle is at (1, 2).
• The only spot left for 4 in the 1st 2x4 rectangle is at (2, 3).
• The only spot left for 6 in the 2nd 2x4 rectangle is at (4, 3).
• The only spot left for 4 in the 3rd 2x4 rectangle is at (6, 4).
• The only spot left for 2 in the 7th 2x4 rectangle is at (6, 7).

Step 9. There are 3 independent moves.

• The only spot left for 4 in the 8th row is at (8, 8).
• The only spot left for 6 in the 5th 2x4 rectangle is at (2, 7).
• The only spot left for 4 in the 5th 2x4 rectangle is at (1, 7).

Step 10. There are 2 independent moves.

• The only spot left for 8 in the 5th 2x4 rectangle is at (2, 8).
• The only spot left for 8 in the 8th 2x4 rectangle is at (8, 7).