A node in a general tree can have an arbitrary number of children. a. Describe a C++ implementation of a general tree in which every node contains an array of child pointers. Write a recursive...

A node in a general tree can have an arbitrary number of children. a. Describe a C++ implementation of a general tree in which every node contains an array of child pointers. Write a recursive preorder traversal method for this implementation. What are the advantages and disadvantages of this implementation? b. Consider the implementation of a general tree that is illustrated in Figure 16-19 . Each node has two pointers: The left pointer points to the node’s oldest child and the right pointer points to the node’s next sibling. Write a recursive preorder traversal method for this implementation. c. Every node in a binary tree T has at most two children. Compare the oldest-child/next-sibling representation of T , as part b describes, to the left-child/right-child representation of a binary tree, as this chapter describes. Does one representation simplify the implementation of the ADT operations? Are the two representations ever the same?