Top
The top operation accesses the element currently having the highest priority in a priority queue or heap.
Advanced Algorithms and Data Structures
The top operation retrieves the element currently having the highest priority at the top of a priority queue or heap, optionally removing it according to the interface semantics.
- How it is used
- Uses priority queues to retrieve and remove the currently highest-priority element.
- How deep it goes
- Explains empty checks, root replacement, push-down repair, and d-ary costs, while deferring full implementation details.
- Examples
- Demonstrates bug-report scheduling, binary or ternary heap removal, and d-ary branching-factor measurements.
- What you can do after
- Apply it via a priority queue API or implement it with root replacement and push-down repair.
Read how Advanced Algorithms and Data Structures explains top →
Grokking Data Structures
A priority queue top method is an operation that removes and returns the element with the highest priority.
- How it is used
- Uses top to extract the next item from a priority queue according to priority rather than insertion order.
- How deep it goes
- Explains the heap implementation through root replacement, child selection, push-down, edge cases, and logarithmic performance.
- Examples
- Uses a Python heap method, helper methods for child selection and push-down, and a comparison table of priority-queue implementations.
- What you can do after
- Build a heap-based top operation that handles empty and singleton heaps and restores heap order after removal.
Related concepts
- pushdown operationuses · A pushdown operation restores heap ordering by repeatedly moving an element toward the leaves and exchanging it with a higher-priority child when necessary.
- peekcontrasts with · Peek is an operation that observes the next or otherwise accessible element without consuming, removing, or advancing past it.
- branching factorcontrasts with · A branching factor is the number of successor nodes or choices available from a node, commonly represented by a maximum or average value.
- priority queuepart of · A priority queue is an abstract data type that retrieves or removes elements according to assigned priority rather than insertion order.
- heappart of · A binary heap is an almost complete binary tree in which each parent satisfies an ordering property relative to its children, enabling efficient access to a minimum or maximum element.
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