Challenging Sudoku Logic Puzzles (Vol 1) Step-by-Step Instructions for Puzzle 46   (55/81) Diff: 16/431A.1244.4433.6564 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 'Sudoku' puzzles.

Step 1. There are 4 independent moves.

• The only spot left for 4 in the 5th row is at (3, 5).
• The only spot left for 1 in the 2nd 3x3 square is at (5, 2).
• The only spot left for 4 in the 5th 3x3 square is at (4, 6).
• The only spot left for 1 in the 9th 3x3 square is at (7, 7).

Step 2. There are 3 independent moves.

• The only spot left for 9 in the 4th column is at (4, 7).
• The only spot left for 7 in the 5th column is at (5, 9).
• The only spot left for 4 in the 9th 3x3 square is at (7, 9).

Step 3. There is 1 independent move.

• The only spot left for 3 in the 9th 3x3 square is at (7, 8).

Step 4. There is 1 independent move.

• 4 must be placed at (2, 1) because it is the only value left that is not already in the 1st row, the 2nd column or the 1st 3x3 square.

Step 5. There is 1 independent move.

• The only spot left for 4 in the 7th 3x3 square is at (1, 7).

Step 6. There are 2 independent moves.

• The only spot left for 6 in the 7th row is at (8, 7).
• The only spot left for 6 in the 7th 3x3 square is at (1, 9).

Step 7. There are 4 independent moves.

• The only spot left for 5 in the 7th row is at (5, 7).
• The only spot left for 6 in the 6th 3x3 square is at (7, 4).
• The only spot left for 9 in the 7th 3x3 square is at (2, 9).
• The only spot left for 5 in the 9th 3x3 square is at (9, 8).

Step 8. There are 4 independent moves.

• The only spot left for 2 in the 2nd column is at (2, 4).
• The only spot left for 3 in the 5th column is at (5, 4).
• The only spot left for 2 in the 7th 3x3 square is at (1, 8).
• The only spot left for 3 in the 8th 3x3 square is at (6, 9).

Step 9. There are 4 independent moves.

• The only spot left for 8 in the 2nd column is at (2, 7).
• The only spot left for 8 in the 4th 3x3 square is at (3, 6).
• The only spot left for 7 in the 7th 3x3 square is at (3, 8).
• The only spot left for 8 in the 8th 3x3 square is at (4, 8).

Step 10. There are 4 independent moves.

• The only spot left for 3 in the 2nd column is at (2, 2).
• The only spot left for 9 in the 3rd column is at (3, 3).
• The only spot left for 8 in the 5th column is at (5, 5).
• The only spot left for 3 in the 7th 3x3 square is at (3, 7).

Step 11. There are 3 independent moves.

• The only spot left for 3 in the 2nd 3x3 square is at (4, 3).
• The only spot left for 2 in the 5th 3x3 square is at (5, 6).
• The only spot left for 8 in the 6th 3x3 square is at (8, 4).

Step 12. There are 3 independent moves.

• The only spot left for 5 in the 8th column is at (8, 6).
• The only spot left for 2 in the 2nd 3x3 square is at (4, 1).
• The only spot left for 8 in the 9th 3x3 square is at (9, 9).

Step 13. There are 6 independent moves.

• The only spot left for 5 in the 5th row is at (6, 5).
• The only spot left for 5 in the 4th column is at (4, 2).
• The only spot left for 7 in the 8th column is at (8, 3).
• The only spot left for 5 in the 4th 3x3 square is at (1, 4).
• The only spot left for 7 in the 6th 3x3 square is at (7, 6).
• The only spot left for 2 in the 9th 3x3 square is at (8, 9).

Step 14. There are 5 independent moves.

• The only spot left for 7 in the 2nd row is at (6, 2).
• The only spot left for 7 in the 1st 3x3 square is at (1, 1).
• The only spot left for 5 in the 3rd 3x3 square is at (7, 1).
• The only spot left for 9 in the 4th 3x3 square is at (1, 6).
• The only spot left for 9 in the 5th 3x3 square is at (6, 4).

Step 15. There are 6 independent moves.

• The only spot left for 1 in the 1st row is at (9, 1).
• The only spot left for 8 in the 1st row is at (6, 1).
• The only spot left for 6 in the 2nd row is at (9, 2).
• The only spot left for 1 in the 1st 3x3 square is at (1, 3).
• The only spot left for 6 in the 2nd 3x3 square is at (6, 3).
• The only spot left for 8 in the 3rd 3x3 square is at (7, 3).

Step 16. There are 4 independent moves.

• The only spot left for 2 in the 7th column is at (7, 5).
• The only spot left for 9 in the 9th column is at (9, 5).
• The only spot left for 2 in the 3rd 3x3 square is at (9, 3).
• The only spot left for 9 in the 3rd 3x3 square is at (7, 2).