![]() When the left index is greater than or equal to the right index, we know the array is sorted, because the pivot is already put in its proper place, and the lengths of the unsorted subarrays on either side of the pivot are zero. the Karatsuba algorithm), finding the closest pair of points, syntactic analysis(e.g., Top-down Parsers), and computing the Discrete Fourier Transform(DFT). As the array reaches its sorted state, the left and right indices grow closer together. This Divide-and-Conquer technique is the basis of efficient algorithms for all kinds of problems, such as sorting(e.g., quicksort, merge sort), multiplying large numbers(e.g. The solutions to the sub-problems are then combined to give a solution to the original problem. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. We initially invoke qSort like this: qSort(arr, 0, arr.length-1). In computer science, divide and conquer is an algorithm design paradigm. The solutions of the sub-problems are merged recursively until we reach a stage when we get a solution to the original problem: Divide and conquer algorithms help considerably reduce the time complexity of solutions. Quicksort uses this index to recursively sort the smaller & larger subarrays using partition. The final phase of a divide and conquer algorithm is to merge the solutions of the sub-problems. We can now swap the pivot back into the middle of the array and return the index of the pivot. ![]() The algorithm can be broken down into three main steps: Choose a pivot element from the array. As we mentioned earlier, quick sort is a divide-and-conquer algorithm. Before we start implementing the quick sort algorithm, lets first understand its basic concepts.
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