What the time complexity of LinearSearch algorithm? a. O(logn) b. O(n) c. O(2^n) d. O(n^2)

Understanding the Linear Search Algorithm

1. Concept of Linear Search:

   • Linear search is a straightforward algorithm used to find a specific element in a list or array. It involves checking each element of the list one at a time in a sequential manner until the desired element is found or the list ends.

2. Time Complexity Analysis:

   • In the worst-case scenario, the algorithm must check every element in the list. Therefore, if there are $n$ elements in the list, the algorithm may need to perform up to $n$ comparisons.

3. Formal Representation:

   • The time complexity is described using Big O notation. Since the algorithm needs to check each element one by one in the worst case, the time complexity can be expressed as: $O(n)$

Conclusion

In conclusion, the time complexity of the Linear Search algorithm is $O(n)$. Therefore, the correct answer is:

Final Answer

b. O(n)