ME: mutually exclusive with no overlaps. MECE involves breaking down subsets that are: One specific application of this model in the consulting world is the MECE Principle developed by Barabara Pinto as part of Pinto's Pyramid. For example, it might involve a business breaking up its focus into divisional responsibilities a complex problem being worked through via a decision tree or breaking a project into sub-tasks. The mental model can be applied in decision making, problem-solving or project management to break down a problem into independent, manageable and related parts. Once these subproblems are solved their combined solutions will solve the original problem. At worst, this might involve engaging with an opposing force to sabotage alliances, elevate minority groups to split them from the broader whole, and generally foster distrust between them.ĭivide and Conquer has more positive applications in computer science as a recursive function that breaks down a problem into similar but smaller subproblems. In a military context this model, also known as ‘divide and rule’, represents a strategy of dividing a large enemy force into smaller groups that have less power and can be controlled as a result. In Merge Sort, we divide array into two halves, sort the two halves recursively, and then merge the sorted halves.What do you do when faced with a seemingly overwhelming problem, project or force?ĭivide and Conquer is a mental model that helps to break up a problem, power structure, or challenge in order to overcome it. If n = 2 10 = 1024, in particular, the exact counts are 3 10 = 59, 049 and (2 10) 2 = 1, 048, 576, respectively.Ī classic example of Divide and Conquer is Merge Sort demonstrated below. It is, therefore, faster than the classical algorithm, which requires n 2 single-digit products. Karatsuba algorithm for fast multiplication does the multiplication of two n-digit numbers in at most single-digit multiplications in general (and exactly when n is a power of 2). It is a divide and conquer algorithm which works in O(N log N) time. 
Cooley–Tukey Fast Fourier Transform (FFT) algorithm is the most common algorithm for FFT.Strassen’s algorithm multiplies two matrices in O(n^2.8974) time. A simple method to multiply two matrices needs 3 nested loops and is O(n^3). Strassen’s Algorithm is an efficient algorithm to multiply two matrices.The Divide and Conquer algorithm solves the problem in O(N log N) time. The problem can be solved in O(n^2) time by calculating the distances of every pair of points and comparing the distances to find the minimum. Closest Pair of Points The problem is to find the closest pair of points in a set of points in the x-y plane.The algorithm divides the array into two halves, recursively sorts them, and finally merges the two sorted halves. Merge Sort is also a sorting algorithm.Finally, the algorithm recursively sorts the subarrays on the left and right of the pivot element. The algorithm picks a pivot element and rearranges the array elements so that all elements smaller than the picked pivot element move to the left side of the pivot, and all greater elements move to the right side. The following are some standard algorithms that follow Divide and Conquer algorithm. Standard algorithms that follow Divide and Conquer algorithm Combine: Combine the sub-problems to get the final solution of the whole problem.Conquer: Solve sub-problems by calling recursively until solved.
Divide: This involves dividing the problem into smaller sub-problems.Recent Articles on Divide and Conquer What is Divide and Conquer?ĭivide and Conquer is an algorithmic paradigm in which the problem is solved using the Divide, Conquer, and Combine strategy.Ī typical Divide and Conquer algorithm solves a problem using following three steps: Learn Data Structure and Algorithms | DSA Tutorial ISRO CS Syllabus for Scientist/Engineer Exam.
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