The worst case cost for an algorithm is calculated by taking the input on which the algorithm performs the worst . It represents the worst case scenario for the algorithm.
The best case cost for an algorithm is calculated by taking the input on which the algorithm performs the best . It represents the best case scenario for the algorithm.
Average case cost for any algorithm is calculated by making all inputs equally likely. So the probability that the algorithm will get the best possible input or worst possible input or any other input are all equally likely.
So in the worst scenario, average case cost can be as bad as worst case but not worse and can be as good as best case but not better.
So the answer for both the question is No.
3.22 Can the average case cost for an algorithm be worse than the worst case cost?...
What are the best, worst and average case complexities of the Merge Sort algorithm?
List the worst case and average case Big O for each algorithm below and describe how the algorithm works. You can diagram or write a short paragraph. Bubble Sort Modified Bubble Sort Insertion Sort Merge Sort Selection Sort Shell Heap Quick
In the worst case, the very best that a comparison based sorting algorithm can do when sorting n records is 2 (n^2) (log (n!)) (logn) (n)
In the worst case, the very best that a comparison based sorting algorithm can do when sorting n records is Q (n^2) Q(log (n!)) (log n) O Q (n)
solve 3
that tells how many swaps are done in the worst case given n elements Consider this modification of the partition algorithm. Randomly choose three potential pivots. Partition around the median of the three pivots 3. a) Write the pseudocode for this algorithm b) If this use the quicksort algorithm, what is the running time for the worst-case scenario? When will this happen? c) Why is this algorithm better than the regular quicksort algorithm? 4. Give the pseudocode of...
Subject: Algorithm.
solve only part 3 and 4 please.
2.2 Selection- 5 points each 1. Run the simultaneous min-and-max algorithm on the array A 4, 2, 12, 6, 13,9,15). (16, 7, 10, 1,5, 11,3,8, 14, 2. Explain why the above algorithm is better than the naive algorithm for finding minimum and maximum separately. How many comparisons does the naive algorithm do? How many comparisons does the simultaneous min and max do? 3. Use the randomized select algorithm based on partition...
No one has ever found an algorithm for the Traveling Salesperson problem whose worst-case time complexity is better than exponential. Yet, no one has ever proven that such an algorithm is impossible. Select one: True False
Give an algorithm with the following properties. • Worst case running time of O(n 2 log(n)). • Average running time of Θ(n). • Best case running time of Ω(1).
Find the best case, worst case and average case complexity for numbers of comparison and assignment operations for the following code. Indicate when there is no best or worst case. Comparisons Assignments Given 2-D array of integer map[n][n]: Best: Best: worst: worst: for (i0; 1 <n; i++) for(j = 0j <n; j++) If (map 10] < 0) map[001-mapli01: average: average: For ease of analysis, assume half of the elements in map are negative.
For [Select], there are three choices: worse than, the same as,
better than
Answer the following questions about the computational properties of divide-and-conquer sorting algorithms, based on tight big-Oh characterizations of the asymptotic growth rate of the functions for the running time or space size, depending on the question. Assume that the input sequence is given as a list, and the output sequence is also a list. Also assume a general implementation of the sorting algorithms, as opposed to an...