Please explain What is the worse-case performance of quicksort? Select the correct answer with the correct justification. Group of answer choices a. O(n*n), because during the partitioning stage it is possible that we select a 'bad' random pivot point that only sorts one item at a time. If we continuously do this over and over again, we are effectively only sorting 1 item each time. We then need to perform this pivot step n more times to sort the remaining n-1 items, thus giving us an O(n*n) complexity.   b. O(n*n), because quicksort is a comparison-based sorting algorithm in which we have to compare every possible element against every other element in order to swap each element into the correct position.   c. O(n*log(n)), because each time we are selecting a pivot point, on the average-case we are able to split our problem into roughly two collections, and sort half of our elements at the pivot poin

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Problems on numbers

Number theory is one of the most appealing topics in mathematics. Given one or more numeric values, a numeric algorithm performs some computation. The use of number theory in computing is important for applications like in the case of cryptographic algorithms. Number theory is also used in various applications such as calculating hash functions or in information security. Euclid’s algorithm is one of the oldest number-theoretic algorithms which is used to calculate the greatest common divisor of two numbers.