Consider the problem of making change for n cents using the fewest number of coins. Assume that each coin's value is an integer. a. Describe a greedy algorithm to make change consisting of quarters, dimes, nickels, and pennies. Prove that your algorithm yields an optimal solution. b. Suppose that the available coins are in the denominations that are powers of c, i. e., the denominations are c0, c1, ..., ck for some integers c > 1 and k % 1. Show that the greedy algorithm always yields an optimal solution. c. Give a set of coin denominations for which the greedy algorithm does not yield an optimal solution. Your set should include a penny so that there is a solution for every value of n. d. Give an O (nk) - time algorithm that makes change for any set of k different coin denominations, assuming that one of the coins is a penny.
Answers (1)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Consider the problem of making change for n cents using the fewest number of coins. Assume that each coin's value is an integer. a. ...” in 📙 Computers & Technology if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
There are two activities on your schedule, which are: 1) install server in lab 2) move server into the data center. however, the second task can't start until the server has run in the lab for 5 days without failure. this is an example of what?
Answers (1)
Which steps would you take to track accounts payables at a business? Select all that apply. Calculate payment amounts that are due. Determine whether you need to place orders. Determine due dates for payments.
Answers (1)
Many major employers routinely monitor the performance of their employees through the computers and telephones they use. Employers are allowed to
Answers (1)
Explain the purpose for Private and Public IP Addresses.
Answers (1)
Operating systems that have windows and icons have which type of user interface?
Answers (1)
New Questions in Computers & Technology
Out of a list of the values 2, 45, 18, 22, 8, and 37, what result would the MAX function return?
Answers (1)
You have set up remote desktop for the company server running server 2008 so that your users can RDP in from their XP workstations. Users are calling you saying that they are being denied the ability to remote in. What is the most likely reason?
Answers (1)
Select the correct answer. Emma, the quality control manager in a software development company, asks the testing team to check whether the user interface is friendly. To which type of testing is Emma referring? A. Usability testing B.
Answers (1)
One of the claimed characteristics of a data warehouse is that it is nonupdateable. what does this mean?
Answers (1)
Samuel needs to import information from Excel to an Access table, but he wants to ensure that if the source table is changed, the information in Access will be updated automatically.
Answers (1)