The shuffle part felt straightforward, Fisher-Yates came to mind pretty fast.
Start by defining a clear data model for a card and deck, then discuss the constraints of in-place operations. For shuffle, implement Fisher-Yates; for sort, choose a comparison-based sort (e.g., quicksort) with a custom comparator, or counting sort given the small fixed domain. Analyze trade-offs and edge cases.
Pro tip: Mention that Fisher-Yates is unbiased and O(n), and that sorting can be O(n) with counting sort due to the small fixed number of suits and ranks. This shows you consider optimal solutions and domain-specific optimizations.
Confirm that operations must be in-place (O(1) extra space) and that the deck is an array of cards. Ask about expected time complexity and whether the deck size is fixed (52 cards).
Define a Card with suit and rank (e.g., enums or integers). Represent the deck as an array of 52 cards. Explain how suits and ranks map to comparable values.
Use the Fisher-Yates algorithm: iterate from the last index down to 1, swap the current card with a randomly chosen card from the remaining unshuffled portion. This guarantees a uniform random permutation in O(n) time and O(1) space.
Choose a sorting algorithm that works in-place. Options: quicksort (average O(n log n), O(log n) stack space) with a custom comparator, or counting sort (O(n) time, O(1) space) since there are only 52 distinct cards. Discuss trade-offs.
Analyze time and space complexity, and discuss edge cases (e.g., empty deck, already sorted). Mention testing strategies like verifying shuffle randomness and sort stability (if applicable).
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