Start by clarifying the rules and constraints, then design a clean state representation and modular functions for legal moves, move execution, and terminal detection. Discuss algorithmic choices (e.g., bitmask vs. object) and trade-offs, and consider game-theoretic aspects like win/loss states and potential optimizations.
Pro tip: Demonstrate foresight by mentioning how your design supports future extensions (e.g., AI opponent, larger boards) and by analyzing time/space complexity of each operation.
Ask questions to confirm rules: initial setup, merge legality, turn order, and win condition. Clarify if stacks can be merged in any order or if there are additional constraints.
Choose a data structure to represent stacks (e.g., list of stacks, each stack as a list of colors). Consider encoding for efficiency (e.g., bitmask per color) and discuss trade-offs.
Write a function that iterates over all pairs of stacks and checks legality: same height OR matching top color. Return list of valid moves.
Define a function to apply a move: merge two stacks (order? concatenate tiles) and update state. Terminal detection: if no legal moves for current player, game over.
Analyze time/space complexity of each operation. Discuss potential optimizations (e.g., caching legal moves, using union-find for connected components) and trade-offs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.