How do you analyze all states of a puzzle game like Stephen's Sausage Roll?

To analyze all states of a puzzle game like Stephen's Sausage Roll, you can use graph theory and search algorithms. The game can be represented as a graph where each state is a node, and edges represent valid moves between states. You can then use algorithms like Breadth-First Search (BFS) or Depth-First Search (DFS) to traverse the graph and analyze all possible states. Additionally, techniques like memoization and pruning can be used to optimize the search process by avoiding redundant calculations and eliminating invalid or unreachable states.