9×9 Sliding Puzzle Game and Solver

The 9×9 sliding puzzle represents a perfect square (9² = 81 total positions), making it mathematically elegant and algorithmically fascinating. This extraordinary brain teaser features 80 numbered tiles in a perfect 9×9 grid, presenting a challenge that combines spatial reasoning with mathematical problem-solving and computational thinking.

How to Play 9×9 Sliding Puzzle Game?

Your goal is to arrange 80 numbered tiles (1 through 80) and one empty space in a 9×9 grid:

Final Arrangement:

Objective: Move the tiles using the empty space until all numbers are in ascending order from left to right, top to bottom, with the empty space in the bottom-right corner.

Phase 1: Top Row Algorithm (Tiles 1-9)

Initialize Variables – Position tiles 1-9 in the top row first

Execute Top Row – Place tiles in ascending order from left to right

Verify Algorithm – Confirm top row is correctly positioned

Phase 2: Second Row Algorithm (Tiles 10-18)

Second Row Loop – Position tiles 10-18 in the second row

Optimize Positioning – Place tiles in ascending order efficiently

Check Algorithm – Verify second row completion

Phase 3: Third Row Algorithm (Tiles 19-27)

Third Row Processing – Position tiles 19-27 in the third row

Algorithm Efficiency – Optimize tile placement for minimum moves

Validate Results – Confirm third row is correctly positioned

Phase 4: Fourth Row Algorithm (Tiles 28-36)

Fourth Row Execution – Position tiles 28-36 in the fourth row

Optimization Loop – Place tiles efficiently with minimal backtracking

Algorithm Verification – Check fourth row completion

Phase 5: Fifth Row Algorithm (Tiles 37-45)

Fifth Row Processing – Position tiles 37-45 in the fifth row

Center Optimization – Focus on center tiles for maximum efficiency

Algorithm Validation – Verify fifth row positioning

Phase 6: Sixth Row Algorithm (Tiles 46-54)

Sixth Row Execution – Position tiles 46-54 in the sixth row

Efficiency Optimization – Minimize moves while maintaining progress

Algorithm Check – Confirm sixth row completion

Phase 7: Seventh Row Algorithm (Tiles 55-63)

Seventh Row Processing – Position tiles 55-63 in the seventh row

Advanced Optimization – Use sophisticated algorithms for positioning

Algorithm Verification – Validate seventh row positioning

Phase 8: Eighth Row Algorithm (Tiles 64-72)

Eighth Row Execution – Position tiles 64-72 in the eighth row

Final Optimization – Apply advanced algorithms for efficiency

Algorithm Validation – Check eighth row completion

Phase 9: Final Row Algorithm (Tiles 73-80)

Final Row Processing – Position tiles 73-80 in the bottom row

Termination Condition – Place the empty space in bottom-right corner

Algorithm Success – Confirm puzzle completion