What is the best and worst case complexity of ordered linear search?O(nlogn), o(logn)O(logn), O(nlogn)O(n), O(1)O(1), O(n)

Break Down the Problem

1. Identify the scenario of ordered (or sorted) linear search.
2. Determine the best case and worst case time complexities.

Relevant Concepts

• Ordered Linear Search works on a sorted dataset, which allows early termination on finding a target element.
• Complexity refers to how the time or space needed by an algorithm grows with the input size.

Analysis and Detail

1. Best Case Scenario:

   • The best case occurs when the target element is the first element of the dataset. In this case, the search would complete in constant time $O(1)$.

2. Worst Case Scenario:

   • The worst case occurs when the target element is either not present or is the last element. In this situation, every element must be checked, leading to a time complexity of $O(n)$.

Verify and Summarize

• The best case complexity is $O(1)$ and the worst case complexity is $O(n)$. The options presented include several complexities that do not apply. Therefore, we can conclude that the best and worst case complexities do not match any of the other provided options, as they focus on logarithmic or higher complexities.

Final Answer

• Best Case Complexity: $O(1)$
• Worst Case Complexity: $O(n)$