I started with the class structure which was fine, Suit and Rank as enums, Card as a simple value object, Deck holding a list.
Start by outlining the class design with Card, Deck, Suit, and Rank, then implement shuffle using Fisher-Yates and draw by removing from the end. Explain the uniform random permutation proof and analyze time/space complexity for each operation.
Pro tip: Mention that using a list and swapping in-place avoids extra space, and that drawing from the end is O(1) while preserving uniformity. Also, discuss thread-safety if the deck is shared.
Define Suit and Rank enums, and a Card class with suit and rank fields. Deck class holds a list of cards and supports shuffle and draw.
Implement Fisher-Yates shuffle: iterate from last index down to 1, swap each card with a randomly chosen card from the remaining unshuffled portion.
Implement draw by removing and returning the last card from the deck (or first if using a queue), ensuring O(1) time and preserving uniform random order.
Argue that each permutation is equally likely: at each step, the probability of any remaining card being placed at the current position is 1/(remaining count).
Shuffle is O(n) time and O(1) extra space; draw is O(1) time. Discuss trade-offs if using other data structures.
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