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Course Content
Data Structure

Linear Search Agorithm

Linear Search (also called sequential search) is a simple searching algorithm that checks each element in a list one by one until it finds the target element or reaches the end of the list.

It works on both sorted and unsorted arrays.

 How Linear Search Works (Step-by-Step)

  1. Start from the first element of the array.
  2. Compare each element with the target/key you are looking for.
  3. If a match is found, return the index.
  4. If no match is found by the end, return -1 (or say “not found”).

Linear Search illustration showing sequential checking of each element in an array until the target value is found, with progress indicators across elements.

Example

Array: [12, 45, 67, 23, 89]
Target: 23

Step-by-Step Execution:

Step Element Checked Is it equal to 23? Result
1 12 No Continue
2 45 No Continue
3 67 No Continue
4 23     Yes Found at index 3

Linear Search python code: 

function linearSearch (arr, target):

    for i = 0 to len(arr) - 1:

        if arr[i] == target:

            return i

    return -1

Time Complexity

Case Time Complexity
Best Case O(1)
Average O(n)
Worst Case O(n)
  • n = number of elements

 Space Complexity

  • O (1) — no extra space used

 Key Features:

  • Simple and easy
  • Works for unsorted arrays
  • Not efficient for large data sets