Is my heuristic algorithm correct? (Sudoku solver)
- by Aposperite
First of -yes this IS a homework- but it's primarily a theoretical question rather than a practical one, I am simply asking a confirmation if I am thinking correctly or any hints if I am not.
I have been asked to compile a simple Sudoku solver (on Prolog but that is not so important right now) with the only limitation being that it must utilize a heuristic function using Best-First Algorithm. The only heuristic function I have been able to come up with is explained below:
1. Select an empty cell.
1a. If there are no empty cells and there is a solution return solution.
Else return No.
2. Find all possible values it can hold. %% It can't take values currently assigned to cells on the same line/column/box.
3. Set to all those values a heuristic number starting from 1.
4. Pick the value whose heuristic number is the lowest && you haven't checked yet.
4a. If there are no more values return no.
5. If a solution is not found: GoTo 1.
Else Return Solution.
// I am sorry for errors in this "pseudo code." If you want any clarification let me know.
So am I doing this right or is there any other way around and mine is false?
Thanks in advance.