Since divide and conquer is an informal concept, it is possible to disagree about what counts as divide and conquer. Binary search can be performed on a sorted array. In this approach, the index of an element x is determined if the element belongs to the list of elements. On the other hand, for calculating nth Fibonacci number, Dynamic Programming should be preferred (See this for details). If the array is unsorted, linear search is used to determine the position. Problem Statement. A very popular algorithmic paradigm, a typical Divide and Conquer algorithm solves a problem using following three steps: 1 — Binary Search is a searching algorithm. Think!) It is used for finding the location of an element in a linear array. In each step, the algorithm… For example, Binary Search is a Divide and Conquer algorithm, we never evaluate the same subproblems again. The basic idea of binary search is to divide the array equally and compare the value K with the middle element. Describing binary search as divide and conquer is supposed to help you conceptualize the algorithms that you learn in the course. Linear Search has time complexity O(n), whereas Binary Search (an application Of Divide And Conquer) reduces time complexity to O(log(n)). If A[mid] is greater than K then definitely K will not be present in the right part, so we search value K in the left part. It works on the principle of divide and conquer technique. Following are some standard algorithms that are of the Divide and Conquer algorithms variety. References Algorithms by Sanjoy Dasgupta, Christos Papadimitriou, Umesh Vazirani Introduction to Algorithms by Clifford Stein, Thomas H. Cormen, … Solution In this chapter, we will discuss another algorithm based on divide and conquer method. Similarly, if A[mid] is less than K then we search value K in the right part. Binary Search is a searching algorithm. Normally, we iterate over an array to find if an element is present in an array or not. 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