write a python function that will return the leaves of a binary tree with (t) being the root of the binary tree. the function must use recursion Starting code: def leaves(t):    return [t.key]

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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write a python function that will return the leaves of a binary tree with (t) being the root of the binary tree. the function must use recursion

Starting code:

def leaves(t):

   return [t.key]

Expert Solution
Step 1: Explanation
  1. TreeNode Class:

    • A TreeNode class is defined to represent nodes in the binary tree. Each TreeNode object has three attributes:
      • key: The value stored in the node.
      • left: A reference to the left child node.
      • right: A reference to the right child node.
  2. The leaves Function:

    • The leaves function takes a single argument, t, which represents the root of the binary tree.
  3. Base Case:

    • The function begins with a base case check. If the input node t is None, it means the tree is empty, and an empty list is returned since there are no leaves in an empty tree.
  4. Checking for Leaf Nodes:

    • If t is not None, the function checks whether t is a leaf node by examining its left and right children.
    • If both the left and right children are None, it means t has no children, and it is a leaf node. In this case, a list containing the value of the leaf node (t.key) is returned.
  5. Recursion:

    • If t is not a leaf node, the function proceeds to recursively find leaves in both the left and right subtrees.
    • The left subtree is explored by calling leaves(t.left), and the right subtree is explored by calling leaves(t.right).
  6. Combining Leaves:

    • The leaves obtained from the left and right subtrees are combined into a single list using the + operator, and this combined list is returned as the result for the current subtree.
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