Chapter 19: Problem 4
A(n) __________ is an entire branch of the tree, from one particular node down.
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Imagine a tree in which each node can have up to a hundred children. Write an analogue of the TreeNode declaration that can be used to represent the nodes of such a tree. A declaration such as TreeNode int value: { TreeNode "child 1 TreeNode "child?: TreeNode \(" \operatorname{ch} 11 d 3:\) . . . }; that simply lists all the pointers to the hundred children is not acceptable.
Propose a definition of a postorder traversal for ternary trees, and give pseudocode for accomplishing such a traversal.
The three common types of traversal with a binary tree are _________, __________, and __________.
Assume that data is stored in a binary tree, but that unlike in the case of binary search tree, no attempt is made to maintain any sort of order in the data stored. Give an algorithm for a function search that searches a binary tree for a particular value num and returns true or \(\mathrm{false}\) according to whether the value num is found in the tree.
Suppose the following values are inserted into a binary search tree, in the order given: \\[12,7,9,10,22,24,30,18,3,14,20\\] Draw a diagram of the resulting binary tree.
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