Here's the algorithm described without the quantum nonsense:

1. Analyze Rules: Extract valid patterns (modules) and their compatibility rules (adjacency constraints) from input or define them.

2. Initialize Grid: Create an output grid where each cell initially contains all possible modules (maximum uncertainty).

3. Choose and Assign: Select the cell with the fewest valid modules remaining. Randomly assign one compatible module to it.

4. Propagate Constraints: Update neighboring cells by removing modules incompatible with the newly assigned one. If a cell loses all options, a contradiction occurs.

5. Handle Contradiction: If a contradiction arises, either backtrack to a previous choice or restart the process.

6. Repeat: Continue from step 3 until all cells are assigned a module or an unresolvable contradiction occurs.