## How do you find the time complexity of a binary search?

The time complexity of the binary search algorithm is O(log n). The best-case time complexity would be O(1) when the central index would directly match the desired value. The worst-case scenario could be the values at either extremity of the list or values not in the list.

## What is the time complexity of binary search prove it mathematically?

With a binary search, you eliminate 1/2 the possible entries each iteration, such that at most it would only take 7 compares to find your value (log base 2 of 128 is 7 or 2 to the 7 power is 128.) This is the power of binary search. The time complexity of the binary search algorithm belongs to the O(log n) class.

**What is the worst-case time for binary search to find an element in the array?**

I know that the worst case time complexity for binary search on a sorted array is O(log n). So, in the case that the key appears more than once the time complexity should be lesser than O(log n).

**Which algorithm is the combination of both binary search algorithm and linear search algorithm?**

Hybrid search algorithm

Hybrid search algorithm: Combined linear and binary search algorithm.

### What is the complexity of O ( 1 ) in binary search?

Complexities like O (1) and O (n) are simple to understand. O (1) means it requires constant time to perform operations like to reach an element in constant time as in case of dictionary and O (n) means, it depends on the value of n to perform operations such as searching an element in an array of n elements.

### How to calculate the run time of binary search?

That makes it easy to calculate the runtime of a binary search algorithm on an that’s exactly a power of 2. If is 128, binary search will require at most 8 () guesses. What if isn’t a power of 2?

**What is the complexity of insertion in a binary tree?**

In general, time complexity is O(h) where h is height of BST. Insertion: For inserting element 0, it must be inserted as left child of 1. Therefore, we need to traverse all elements (in order 3, 2, 1) to insert 0 which has worst case complexity of O(n). In general, time complexity is O(h).

**What is the complexity of insertion in BST?**

In general, time complexity is O(h) where h is height of BST. Insertion: For inserting element 0, it must be inserted as left child of 1. Therefore, we need to traverse all elements (in order 3, 2, 1) to insert 0 which has worst case complexity of O(n).