It's Thursday already, so time for another code puzzler. The idea is simple: solve the coding problem as efficiently as you can, in any language or framework that you find suitable.
Note: Even though there really is nothing stopping you from finding a solution to this on the internet, try to keep honest, and come up with your own answer. It's all about the participation!
Sudoku Puzzle Solver
Given any sudoku puzzle, write a method that can solve it. An example of a puzzle this method would be expected to handle follows: