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The Silent Auction Algorithm

#logic #deduction #mathematics

Determine the winner of a complex auction based on behavioral constraints.

Five bidders (A, B, C, D, E) participate in a silent auction for a single item. Bidders have strict rules: A always bids $5 more than the current highest bid; B only bids if the current highest bid is under $100; C bids exactly once, placing $50; D only bids if A has bid; E waits until the end and bids $1 more than the highest bid if it is below $200. If the item starts at $0 and bids are processed in the order A, B, C, D, E, then repeating the cycle until no one bids, who wins the item and at what price? Explain the step-by-step logic.