The problem was basically Game of Life with different rules swapped in.
Clarify the cell states and transition rules, then simulate the simultaneous update using a copy of the matrix or in-place encoding. Emphasize that all cells must be updated based on the original state, not intermediate changes.
Pro tip: Mention that in-place updates can be done by encoding both old and new states in a single integer (e.g., using bit manipulation) to save space, but only if the state space is small. Also, discuss how to handle edge cases like empty matrix or single row/column.
Ask clarifying questions about the number of states, the exact transition rules, and whether the matrix is mutable. Confirm that updates are simultaneous.
Decide between using an auxiliary matrix (simpler) or in-place encoding (more space-efficient). Consider time and space complexity trade-offs.
Iterate through each cell, compute its next state based on the original matrix, and store it either in the auxiliary matrix or encoded in-place.
Check for empty matrix, single row/column, and boundaries. Ensure the solution works for all possible state combinations.
Walk through a small example, verify simultaneous updates, and discuss potential optimizations or alternative approaches.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.