An interactive concept flow for trees and heaps solve different ordering problems, from its assumptions through the main operation and boundary checks.
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readyA search tree organizes keys so comparisons guide a search toward one subtree. A heap instead guarantees only that each parent outranks its children, which is enough to retrieve an extreme element quickly but not to search arbitrarily for a key. The word “tree” alone does not define the operation costs.
Use the stages in order to explain trees and heaps solve different ordering problems. Each stage makes one assumption visible: what the operation promises, what representation it uses, how state changes, which boundary can invalidate a shortcut, and what evidence confirms the result.
For a worked explanation, continue to the topic article and execution trace.
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