1. Introduction to Searching

1.1 What is Searching?

Searching is the process of finding a particular element or checking if an element exists in a data structure (array, linked list, tree, etc.).

Real-World Analogies:

• Finding a book in a library
• Searching for a contact in your phone
• Looking up a word in a dictionary
• Finding a file on your computer

Types of Searching:

1. Linear Search - Sequential search through elements
2. Binary Search - Divide and conquer approach (requires sorted data)
3. Jump Search - Jumping ahead by fixed steps
4. Interpolation Search - Improved binary search for uniformly distributed data
5. Exponential Search - Finding range then binary search

Note: There's actually a lot more searching algorithms, but we'll focus on the most common ones.

1.2 Why Study Searching Algorithms?

Importance:

• One of the most common operations in programming
• Critical for database queries
• Essential for data retrieval systems
• Foundation for more complex algorithms
• Performance impact on large datasets

Performance Metrics:

• Best Case: Minimum number of comparisons
• Average Case: Expected number of comparisons
• Worst Case: Maximum number of comparisons
• Space Complexity: Extra memory required