Medium HyperSudoku-X Group Puzzle
Permission is granted to teachers in grades K-12 to print and photocopy these puzzles for use in their classes. Permission is also granted for parents and individuals to print for educational and personal developement. Please share this link with friends on social media and email so they can practice as well.

Place each element of the group (1 2 3 4 5 6 7 8 9) exactly once in each row, each column, each 3x3 square, each 3x3 inner square, and each diagonal.

Deductive steps to solve the puzzle

The moves within each step may be done in any order.

All of the moves within a particular step must be done before all of the moves in the subsequent step can be guaranteed to be completed.

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 .

Step 1. There are 11 independent moves.

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

Step 2. There are 12 independent moves.

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

Step 3. There are 13 independent moves.

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

Step 4. There are 7 independent moves.

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

Step 5. There are 8 independent moves.

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

Step 6. There are 2 independent moves.

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

Tuesday September 24, 2024   https://www.grouppuzzles.com