Which of the following algorithms has the smallest time complexity?(1 point)Responsesinsertion sortinsertion sortlinear searchlinear searchmerge sortmerge sortbinary search

Answer 1

To determine which algorithm has the smallest time complexity among the options provided, let's analyze each one:

1. Insertion Sort: Average time complexity is \(O(n^2)\), and the best case (when the array is already sorted) is \(O(n)\).

2. Linear Search: Time complexity is \(O(n)\) in the worst case.

3. Merge Sort: Time complexity is \(O(n \log n)\) for both average and worst cases.

4. Binary Search: Time complexity is \(O(\log n)\), but it requires the array to be sorted.

Among these options, Binary Search has the smallest time complexity of \(O(\log n)\), assuming that the input data is sorted (which is a requirement for its use).

So, the answer is Binary Search.