ive a Divide and Conquer algorithm for calculating xn where n is a positive integer. [Note: If n is even xn = xn/2 *xn/2 and if n is odd xn = x(n-1)/2 *x(n-1)/2 * x.]

ive a Divide and Conquer algorithm for calculating xn where n is a positive integer. [Note: If n is even xn = xn/2 xn/2 and if n is odd xn = x(n-1)/2 x(n-1)/2 * x.]

EBK JAVA PROGRAMMING

9th Edition

ISBN:9781337671385

Author:FARRELL

Publisher:FARRELL

Chapter6: Looping

Section: Chapter Questions

Problem 11RQ

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Concept explainers

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.

Question

Give a Divide and Conquer algorithm for calculating xn where n is a positive integer. [Note: If n is even xn = xn/2 *xn/2 and if n is odd xn = x(n-1)/2 *x(n-1)/2 * x.]

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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