Final answer:
A sample binary tree involves nodes 1-6 with a root node and its left and right children. The preorder traversal sequence is obtained by visiting the root, then the left subtree, followed by the right subtree, resulting in the sequence 1, 2, 4, 5, 3, 6.
Step-by-step explanation:
To build a tree structure and then to perform a preorder traversal, we must first identify the elements that will be part of the tree. Let's assume a simple binary tree with elements 1 to 6. Our binary tree is constructed as follows:
- Node 1 is the root.
- Node 2 is the left child of Node 1.
- Node 3 is the right child of Node 1.
- Node 4 is the left child of Node 2.
- Node 5 is the right child of Node 2.
- Node 6 is the left child of Node 3.
In preorder traversal, we visit the nodes in the following order:
- Visit the root node.
- Preorder traverse the left subtree.
- Preorder traverse the right subtree.
The sequence for the preorder traversal of our constructed tree would be: 1, 2, 4, 5, 3, 6.
Remember, in preorder traversal, we always visit the root before its children. This traversal is useful for creating a copy of the tree or for prefix notation in expressions.