Must answer all questions fast else downvote and -ve ratings Data Structures and Algorithms (Java Programming) a) Define the heap data structure, and define any data structures refered to in this...

Must answer all questions fast else downvote and -ve ratings Data Structures and Algorithms (Java Programming) a) Define the heap data structure, and define any data structures refered to in this definition. b) Why are heaps as used for heapsort most often implemented in array form? Explain your answer. c) How do you find the children of a node in the array in terms of the arithmetic involved? d) How do you find the parent of a node in the array in terms of the arithmetic involved? e) Describe the heapifyUpwards algorithm.