The Binary Search Tree(BST) provided below: {# Class to represent Tree node class Node: # A function to create a new node def __init__(self, key): self.data = key self.left = None self.right = None root = Node(4) root.left = Node(2) root.right = Node(6) root.left.left = Node(1) root.left.right = Node(3) root.right.left = Node(5) root.right.right = Node(7) } Write a complete Python program to only return the third smallest element in the Binary Search Tree. The value of the third smallest element is ”3”. You may choose either a recursive or an iterative solution. You are NOT allowed to actively maintain an extra data-structure for storage of values of the tree elements to perform a linear scan later to return the required value. HINT: A certain BST Traversal is ordered.

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
icon
Related questions
Question

The Binary Search Tree(BST) provided below:
{# Class to represent Tree node
class Node:
# A function to create a new node
def __init__(self, key):
self.data = key
self.left = None
self.right = None
root = Node(4)
root.left = Node(2)
root.right = Node(6)
root.left.left = Node(1)
root.left.right = Node(3)
root.right.left = Node(5)
root.right.right = Node(7)
}
Write a complete Python program to only return the third smallest element in the Binary Search Tree. The value of the third smallest element
is ”3”. You may choose either a recursive or an iterative solution. You
are NOT allowed to actively maintain an extra data-structure for storage
of values of the tree elements to perform a linear scan later to return the
required value.
HINT: A certain BST Traversal is ordered. 

Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Types of trees
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
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)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education