(a) Given an array called A provide pseudocode to insert an element x in location loc. Is this operation supported by the Stack ADT? Justify your answer. (b) Given the Stack: 00000 01234 (c) (4 marks) where 0 represents an empty index and not a value. Write the output produced by the following series of operations. push(3), push(5), push(4), pop(), push(2), top(), pop(), isEmpty(), push(1), push(6), top(), push(7), isFull(). (6 marks) Provide pseudocode for the following operations pertaining to a Stack: isFull(S), isEmpty(S), push(S, x), pop(S). S is an array and x is an element. Why does each operation except push(S, x) only require the single argument S?