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Array-Based Priority Queue
Problem Description
Build, update, pop, and sort an integer heap represented by an array.
Required Function Contracts
This task specifies a multi-function API. Provide a separate Require / Ensure contract on each of the following functions in solution.c:
pushbuildpopheap_sort
Every function listed above is a specification target, including functions called internally by other operations. A contract only on the final or highest-level operation is incomplete. Keep the existing C signatures and bodies unchanged; no loop annotations are requested.
Input
The functions receive the array representation, its logical size or capacity, and the operation-specific values described by their C signatures.
Output
Each operation returns or updates the represented data structure according to its interface contract.
Constraints
All indices, sizes, capacities, and stored values satisfy the bounds stated by the corresponding function contract.
Source
Classical data-structure implementation reconstructed from the verified C artifact.