Question: (a) Give an algorithm that establishes the heap property for a given array consisting of n integers in time O(n). If you are using sub-methods

(a) Give an algorithm that establishes the heap property for a given array consisting of n integers in time O(n). If you are using sub-methods give an algorithm for them as well (b) Prove that your algorithm for establishing the heap property has run- time O(n). (c) Give the heapsort algorithm and analyze its runtime
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