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]
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
Section: Chapter Questions
Problem 1PE
Related questions
Question
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
TreeNode Class:
- A
TreeNode
class is defined to represent nodes in the binary tree. EachTreeNode
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.
- A
The
leaves
Function:- The
leaves
function takes a single argument,t
, which represents the root of the binary tree.
- The
Base Case:
- The function begins with a base case check. If the input node
t
isNone
, it means the tree is empty, and an empty list is returned since there are no leaves in an empty tree.
- The function begins with a base case check. If the input node
Checking for Leaf Nodes:
- If
t
is notNone
, the function checks whethert
is a leaf node by examining itsleft
andright
children. - If both the
left
andright
children areNone
, it meanst
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.
- If
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 callingleaves(t.right)
.
- If
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.
- The leaves obtained from the left and right subtrees are combined into a single list using the
Step by step
Solved in 3 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education