Data structures and algorithms are among the most fundamental concepts of Computer Science. Whether it’s real-world problems you’re trying to solve or the typical coding question asked in an interview, almost every problem requires you to demonstrate a deep understanding of data structures and algorithms. 

This course is a detailed review of some of the most common data structures and algorithms that you’ll see in interviews and your everyday work. With implementation details, thorough explanations, and hands-on coding exercises, you’ll quickly gain the confidence you need to solve any problem, no matter the situation.

Data Structures and Algorithms in Python

The worst-case time complexity of insert, search and delete operations in a binary search tree is as follows:

The worst-case time complexity of insert, search and delete operations in a binary search tree is as follows:

BST property:

The value of the left child of any node in a binary search tree will be less than whatever value we have in that node, and the value of the right child of a node will be equal to the value in that node.

BST property:
The value of the left child of any node in a binary search tree will be less than whatever value we have in that node, and the value of the right child of a node will be equal to the value in that node.

Is the following tree a valid binary search tree?
<img src="/api/collection/10370001/5474278013140992/page/5520412060418048/image/5640195544186880)0412060418048/image/6338544408723456">

Is the following tree a valid binary search tree?
<img src="/api/collection/10370001/5474278013140992/page/5520412060418048/image/5640195544186880)0412060418048/image/6338544408723456">

What is the average time complexity of the following code?
```python
def search(self, find_val):
 return self.search_helper(self.root, find_val)

def search_helper(self, current, find_val):
 if current:
 if current.data == find_val:
 return True
 elif current.data < find_val:
 return self.search_helper(current.right, find_val)
 else:
 return self.search_helper(current.left, find_val)
```

What is the average time complexity of the following code?
<pre><code class="language-python">def search(self, find_val):
 return self.search_helper(self.root, find_val)

def search_helper(self, current, find_val):
 if current:
 if current.data == find_val:
 return True
 elif current.data &lt; find_val:
 return self.search_helper(current.right, find_val)
 else:
 return self.search_helper(current.left, find_val)
</code></pre>

```python
class Node:
    def __init__(self, val): 
        self.val = val
        self.Child = None
        self.parent = None
 ```       

```python
class Node:
    def __init__(self, val): 
        self.val = val
        self.parent = None
 ```

```python
class Node:
    def __init__(self, val): 
        self.val = val
        self.leftChild = None 
        self.rightChild = None
 ```

```python
class Node:
    def __init__(self, val):
        self.val = val
        self.Child = None 
 ```

Which of the following is a valid implementation of the `Node` class for a binary search tree?

Which of the following is a valid implementation of the <code>Node</code> class for a binary search tree?

It's quiz time! Test yourself by solving these questions about binary search trees. 

Introduction

Stack

Singly Linked Lists

Circular Linked Lists

Doubly Linked Lists

Arrays

Binary Trees

Binary Search Trees

Binary Search

Recursion

String Processing

Quiz