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This article explores the concept of heuristic repair, particularly its application in solving Sudoku puzzles. Heuristic repair involves generating a potential solution close to the desired goal and making adjustments to minimize conflicts. The process is illustrated by systematically filling a Sudoku board while avoiding conflicts in 3x3 boxes and within columns. Through a series of swaps and checks for conflicts, the method showcases how to iterate towards a solution efficiently. Discover how AI techniques can assist in the complexity of Sudoku problem-solving.
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Heuristic Repair and Sudoku Sharon Hastings Artificial Intelligence
What is Heuristic Repair? • Generate a possible solution that is close to the goal • This can be done randomly or using a heuristic • Make changes that reduce the distance of the state from the goal
Sudoku Puzzle To solve this puzzle using heuristic repair a possible solution must be generated.
This solution is generated by filling in the board, avoiding any conflicts within a 3x3 or a column. The only conflicts that exist are within the rows.
Now check the conflicts and use heuristic repair to find the solution. Let’s begin looking at the 9 in the top left 3x3. This 9 has no conflicts. So we can move on to the 7.
The 7 has two conflicts. Now, check other places in column of that 3x3. Where the 5 is, 7 would have no conflicts. Swap 5 and 7.
Now check 5. 5 has no conflicts in it’s new location. Notice the1 in the top middle 3x3 also has no conflicts. Now, the 7 may be examined.
This 7 has one conflict. Where 5 is, 7 still has one conflict. Where 4 is 7 has no conflicts. Swap 7 and 4.
Now check 4. 4 has no conflicts. Now examine the 6 in the right top 3x3.
The 6 has one conflict. Where 2 is, 6 would have no conflicts. Swap 2 and 6.
2 has no conflicts. No more conflicts exist in the top 3x3 boxes.
Now look at the bottom row of 3x3 boxes. SOLUTION!!
