Solving SameGame and its Chessboard Variant

We introduce a new solving method for SameGame puzzles based on Monte-Carlo simulation, that improves the previous best known method. We also cover the ches sboard variant, a subclass of the SameGame puzzle for which we can exactly define which puzzles are solva ble nd which ones are not. Next to this we present a quantitative approach to classify the difficult y of a given puzzle, as well as an indication of whether or not a given puzzle is solvable.