# what is the time complexity of binary search with iteration

If the element to be found is equal to the middle element, then we have already found the element, otherwise, if it is smaller, then we know it is going to lie on the left side of it, else, on the right. Binary search is a fast search algorithm with run-time complexity of Ο(log n). In binary search, we directly hit the middle element and then compare it with the element to be found. Here, h = Height of binary search tree . It's an asymptotic notation to represent the time complexity. Now, let us discuss the worst case and best case. In this tutorial on binary search algorithm implementation in java, we will start by looking at how the binary search algorithm works, understand the various steps of the algorithm, and its two variants – iterative and recursive binary search implementations. So there must be some type of behavior that algorithm is showing to be given a complexity of log n. Let us see how it works. That means that you’ll get a runtime complexity of [math]O(n)[/math] - where n is the number of nodes in the binary tree. For this algorithm to work properly, the data collection should be in the sorted form. Next, we will see the java implementation of iterative binary search, followed by its explanation. This search algorithm works on the principle of divide and conquer. Height of the binary search tree becomes n. So, Time complexity of BST Operations = O(n). The time complexity of binary search is O(log n), where n is the number of elements in an array. Binary Search is a searching algorithm for finding an element's position in a sorted array. Worst Case- In worst case, The binary search tree is a skewed binary search tree. For all of these traversals - whether done recursively or iteratively - you’ll have to visit every node in the binary tree. In this tutorial, you will understand the working of binary search with working code in C, C++, Java, and Python. One place where you might have heard about O(log n) time complexity the first time is Binary search algorithm. We will study about it in detail in the next tutorial. Time Complexity- Time complexity of all BST Operations = O(h). Well I truly understand that the time complexity be... Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Time Complexity is most commonly estimated by counting the number of elementary steps performed by any algorithm to finish execution. The time complexity of algorithms is most commonly expressed using the big O notation. Height of the binary tree, time complexity of Ο ( log n ) is O ( )... Commonly estimated by counting the number of elementary steps performed by any algorithm to work properly the. Represent the time complexity is most commonly estimated by counting the number elements. 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