Question

In: Advanced Math

20. The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems...


20. The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf.
(a) Find the best-case height of a binary tree with five nodes.
(b) Find the worst-case height of a binary tree with five nodes.
(c) Find the average-case height of a binary tree with five nodes. For this problem, you will have to list all possible binary trees with five nodes. Assume that each of these is equally likely to occur.
(d) Find the worst-case height of a binary tree with n nodes. (e) Approximate the best-case height of a binary tree with n nodes.

Solutions

Expert Solution

Colby Messinger answered 2 years ago
Next > < Previous

Related Solutions

Given the below code, compute the values of the best case, worst case and average case...
Given the below code, compute the values of the best case, worst case and average case knowing that the basic operation in the first loop takes 4 ns to execute and the basic operation in the second loop takes 5 ns to execute. int A[20]; for (int i=0; i < 20; i++) {           cin >> A[i]; } for (i=0; i < 20; i++) {           if (A[i] % 3 == 0)                     break; }
merge sort Determine the best, average, and worst case inputs for merge sort.
merge sort Determine the best, average, and worst case inputs for merge sort.
Analyze the worst-case, best-case, and average-case number of comparisons of sequential search if exactly three-tenths of...
Analyze the worst-case, best-case, and average-case number of comparisons of sequential search if exactly three-tenths of the time, the element x to search for is not in the list and if x is in the list, it is equally likely to be in any position.
What is the Big O of the following algorithms along with the worst and average cases:...
What is the Big O of the following algorithms along with the worst and average cases: Euclid's Algorithm Brute-Force Matching Topological Sort Lomuto Partition Russian Peasant Algorithm
Complete four other scenarios (i.e., what-if analyses), and recommend the best scenario PARAMETERS FOR BASELINE CASE...
Complete four other scenarios (i.e., what-if analyses), and recommend the best scenario PARAMETERS FOR BASELINE CASE The following numbers are estimates for the upcoming year for a manufacturing company. Since the company is effective at implementing a JIT inventory system, assume there is no beginning or ending inventory. No. of units sold 120,000 Selling price per unit $240.00                            Fixed Expenses Variable Expenses         (per unit sold Production costs: Direct materials $18.00 Direct labor 36.00 Factory overhead $2,160,000 24.00 Marketing expenses:...
What is the best case and worst case performance for a hashtable lookup explain answer very...
What is the best case and worst case performance for a hashtable lookup explain answer very clearly and answer must be explained how hashtables work and how that relates to performance in both the cases.
How many key comparisons are made by mergesort in the a. Best case? b. Worst Case?
How many key comparisons are made by mergesort in the a. Best case? b. Worst Case?
Show that the worst-case and average-case time complexities for the number of assignments of records performed...
Show that the worst-case and average-case time complexities for the number of assignments of records performed by the Exchange Sort algorithm (Algorithm 1.3) are given by           W(n) = 3n(n-1)/2 ≈ n2/2 and A(n) = 3n(n-1)/4 ≈ n2/4
Accountants are counted on to provide management with analyzing data to determine best- and worst-case scenarios....
Accountants are counted on to provide management with analyzing data to determine best- and worst-case scenarios. As future planning becomes more complex, these what-if analyses can increase in complexity and usefulness. Identify and discuss at least three (3) types of what-if analyses that an accountant should be able to perform to measure a firm’s performance over a period. Be sure to include the type of data that will be needed to support this analysis. Justify your response.
Accountants are counted on to provide management with analyzing data to determine best- and worst-case scenarios....
Accountants are counted on to provide management with analyzing data to determine best- and worst-case scenarios. As future planning becomes more complex, these what-if analyses can increase in complexity and usefulness. Identify and discuss at least three (3) types of what-if analyses that an accountant should be able to perform to measure a firm’s performance over a period. Be sure to include the type of data that will be needed to support this analysis. Justify your response.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT