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Design a queue that supports standard enqueue and dequeue operations alongside constant-time minimum and maximum retrieval.
All five methods must operate in O(1) amortized time complexity.
Requires maintaining synchronized auxiliary data structures to track extremum values dynamically.
What This Tests
Queue and Deque manipulation
Amortized time complexity analysis
Monotonic sequence maintenance
State synchronization across multiple collections
Common Patterns
Monotonic Stack
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