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6. This question pertains to heaps (specifically, heaps where the root is the smallest element). a. What is a heap? What properties must a heap maintain? b. How can we represent a heap by a vector? c. Consider the following sequence: 4,10,32,8,20,46, 78,36,52,30. Build a heap by inserting these elements in sequence; show the state of the heap after each insertion; you may use more rows/ columns than provided below, or fewer. This table is provided only for convenience