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Queues process elements in arrival order. Deques extend this with front and back operations.
Perfect introduction to queue simulation where students swap positions based on simple rules.
Array or linked list
Excellent for understanding queue structure reconstruction from neighbor relationships.
Teaches deque operations with pattern recognition. Great for understanding how deques stabilize into cycles.
BFS tree traversal using queue with state tracking. Perfect for learning queue-based graph exploration.
Demonstrates how choosing front/back insertion affects final structure. Excellent for understanding inversion counts.
Teaches optimal removal from deque ends to achieve target sum. Great introduction to deque manipulation.
Advanced queue problem requiring finding furthest younger elements. Teaches monotonic stack/deque optimization.
Verifies if a sequence represents valid BFS traversal. Essential for understanding BFS queue mechanics.
BFS with priority queue to find lexicographically smallest path. Modified BFS with ordering requirements.
Classic monotonic deque DP optimization. Teaches how to use deque to optimize range maximum queries in DP.
Greedy problem with implicit queue of powers of two. Understanding bit manipulation with queue-like processing.
2D sliding window maximum using monotonic deque in both dimensions. Ultimate monotonic deque technique mastery.
Fundamental problem teaching queue FIFO principles by implementing with LIFO stacks. Amortized O(1) operations.
Teaches circular buffer concepts with wrap-around indexing using modulo arithmetic.
THE canonical monotonic deque problem. Reduces O(nk) to O(n) using decreasing deque for potential maxima.
Combines prefix sum with monotonic deque to handle negative numbers elegantly.
Classic DP optimization reducing O(nk) to O(n) using monotonic deque for sliding window maximum in DP.
DP disguised as sliding window maximum. Monotonic deque optimizes finding best previous jump position.
Advanced application using TWO monotonic deques (one for min, one for max) simultaneously.
Mathematical transformation combined with monotonic deque for variable-width sliding window optimization.
