Design and Analysis of Algorithms is a fundamental area of computer science focused on creating efficient solutions to computational problems and evaluating their performance. It involves designing algorithms (step-by-step procedures) to solve problems and analyzing their time and space complexity to ensure optimal resource usage. Key topics include sorting, searching, graph algorithms, dynamic programming, and divide-and-conquer strategies. The goal is to develop algorithms that are both correct and efficient, enabling faster and scalable solutions for real-world applications.
12 questions and answers
Write quick sort algorithm. Analyze the best case and worst case time complexities of your algorithm. Perform the PARTITION operation once(one time) on the following array as per the requirement of the quicksort algorithm, assuming the last element of the array to be the pivot element. Clearly mention the steps. Arr=[2,8,7,1,3,5,6,4].
The array A[p….r] is divided into two subarrays A[p…….(q-1)] and A[(q+1)…….r] where q is the partitioning element.
Find the recurrence relation of binary search and derive the time complexity of binary search.
Binary search is a technique to find a particular element in a sorted list of elements. Suppose L is the sorted list and d is the element to be searched, lb is the lower bound of the list and ub is the upper bound of the list.
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