Suppose that [e, e..... e] is a list of k integers. The following table defines some...
Fantastic news! We've Found the answer you've been seeking!
Question:
![](https://dsd5zvtm8ll6.cloudfront.net/questions/2024/02/65c5c2f1dce22_1707506097733.jpg)
![](https://dsd5zvtm8ll6.cloudfront.net/questions/2024/02/65c5c2fa41d75_1707506106158.jpg)
Transcribed Image Text:
Suppose that [e, e..... e] is a list of k integers. The following table defines some operations on such lists. Each operation works in 0(1) time. 07 08 Operation [] [e] 01 MERGE(left, right) 02 both = [] 03 04 05 06 HEAD() TAIL() LENGTH() ler Suppose that I and rare lists of integers. The elements of each list are sorted into nondecreasing order, but you do not know what those elements are. The procedure MERGE(!) returns a new list that has all the elements of I and also sorted into nondecreasing order. else both both left = TAIL(left) while LENGTH(left) > 0 and LENGTH(right) > 0 if HEAD(left) 2. Questions 2a through 2d are about the procedure FACTORIAL, which returns the factorial of the integer n. Assume that n 0. Use a loop invariant to prove that FACTORIAL is correct. FACTORIAL(n) f=1 k=1 while k n f = kx f k = k+1 return f 2a. (5 points.) What is a loop invariant for FACTORIAL? 2b. (5 points.) Use the invariant from 2a to prove that FACTORIAL is correct at initialization. 2c. (5 points.) Use the invariant from 2a to prove that FACTORIAL is correct during maintenance. 2d. (5 points.) Use the invariant from 2a to to prove that FACTORIAL is correct at termination. 3. Questions 3a and 3b are about the backtracking procedure MAKE-SETS and its helper MAKING-SETS. The symbol 'o' is the empty set, and the symbol 'U' is the set union operator. The procedure PRINT(s) prints the set s. The parameters n, k, and e are nonnegative integers. The parameter s is a set of nonnegative integers. MAKE-SETS(n, k) MAKING-SETS(n, k, 1, ) MAKING-SETS(n, k, e, s) if k == 0 PRINT(S) else for e = e to n MAKING-SETS(n, k-1, e + 1, su{e }) 3a. (5 points.) What will MAKE-SETS(4, 2) print? Hint: enumerate the calls to MAKING-SETS breadth-first. 3b. (5 points.) Suppose that / and mare nonnegative integers. What does MAKE-SETS(/, m) compute? Your answer must be one short sentence, stated in terms of /and m. Suppose that [e, e..... e] is a list of k integers. The following table defines some operations on such lists. Each operation works in 0(1) time. 07 08 Operation [] [e] 01 MERGE(left, right) 02 both = [] 03 04 05 06 HEAD() TAIL() LENGTH() ler Suppose that I and rare lists of integers. The elements of each list are sorted into nondecreasing order, but you do not know what those elements are. The procedure MERGE(!) returns a new list that has all the elements of I and also sorted into nondecreasing order. else both both left = TAIL(left) while LENGTH(left) > 0 and LENGTH(right) > 0 if HEAD(left) 2. Questions 2a through 2d are about the procedure FACTORIAL, which returns the factorial of the integer n. Assume that n 0. Use a loop invariant to prove that FACTORIAL is correct. FACTORIAL(n) f=1 k=1 while k n f = kx f k = k+1 return f 2a. (5 points.) What is a loop invariant for FACTORIAL? 2b. (5 points.) Use the invariant from 2a to prove that FACTORIAL is correct at initialization. 2c. (5 points.) Use the invariant from 2a to prove that FACTORIAL is correct during maintenance. 2d. (5 points.) Use the invariant from 2a to to prove that FACTORIAL is correct at termination. 3. Questions 3a and 3b are about the backtracking procedure MAKE-SETS and its helper MAKING-SETS. The symbol 'o' is the empty set, and the symbol 'U' is the set union operator. The procedure PRINT(s) prints the set s. The parameters n, k, and e are nonnegative integers. The parameter s is a set of nonnegative integers. MAKE-SETS(n, k) MAKING-SETS(n, k, 1, ) MAKING-SETS(n, k, e, s) if k == 0 PRINT(S) else for e = e to n MAKING-SETS(n, k-1, e + 1, su{e }) 3a. (5 points.) What will MAKE-SETS(4, 2) print? Hint: enumerate the calls to MAKING-SETS breadth-first. 3b. (5 points.) Suppose that / and mare nonnegative integers. What does MAKE-SETS(/, m) compute? Your answer must be one short sentence, stated in terms of /and m.
Expert Answer:
Answer rating: 100% (QA)
1 The runtime of MERGEleft right is given by M L R where L is the length of the left list and R is t... View the full answer
Related Book For
Statistical Techniques in Business and Economics
ISBN: 978-0078020520
16th edition
Authors: Douglas Lind, William Marchal
Posted Date:
Students also viewed these accounting questions
-
For each transaction, indicate in which journal it should be recorded. Sales Journal Cash Receipts Journal Purchases Journal Cash Payments Journal General Journal Returned products to a supplier....
-
2. Let f(x) = x-3x + 3 on the interval [-2, 2]. (a) Find all the critical numbers of f(x).
-
What is a branch delay slot and why does it arise? [7 marks] How can branch delays be avoided? If a processor exhibited one branch delay slot how would you reorder (and possibly modify) the...
-
Leanne buys, refurbishes, and resells used mobile phones. She agrees to give a refurbished mobile phone from the her warehouse to Dell, a 17-year-old, if Dell promises to pay for the mobile phone by...
-
Fido Grooming provides grooming services for pets. In April, the company earned $ 16,300 in revenues and incurred the following operating costs to groom 650 dogs: Wages...
-
Fill in the blanks in each of the following: a. You add multiple RadioButtons to a(n) to ensure that only one RadioButton in a given group is selected at a time. b. A(n) determines the size and...
-
Is it the case that global sourcing is really about cost-cutting? LO.1
-
A uniform 2.20-kg steel bar with length 2.70 m is suspended on each end by a chain. A 40.0-kg person hangs 70.0 cm from one end while a 55.0-kg person hangs 50.0 cm from the other end. Another person...
-
Sullivan's Island Company began operating a subsidiary in a foreign country on January 1, 2020, by investing capital in the amount of 77,000 pounds. The subsidiary immediately borrowed 147,000 pounds...
-
Three-Month Project NOTE! Templates needed Ampersand, Inc., is a small business that operates in Somerset, VT The company is located at 732 Appalachian Way, Somerset, VT 05363. Its federal Employer...
-
Exercise 1 1 - 9 ( Algo ) Special Order Decision [ LO 1 1 - 4 ] Delta Company produces a single product. The cost of producing and selling a single unit of this product at the company's normal...
-
A project requires a $802,000 Initial Investment for equipment. The equipment is estimated to have an eight-year life and a salvage value of $42,000. The project is expected to generate income of...
-
A product has the following costs: $ Per Unit Variable production costs 9.60 Total production costs 15.00 Total variable cost 11.80 Total cost 20.00 22,800 units of the product were manufactured in a...
-
Suppose that Boeing Corporation exported a Boeing 747 to Lufthansa and billed 20 million payable in one year. One-year interest rates are 2% in the United States and 4% in the euro zone. The spot...
-
6. [0/1 Points] DETAILS MY NOTES Find the derivative. f'(x) = f(x) = x9.3x symbolic formatting help
-
1) Explain the following paragraph in your own words. "A nation which has can produce at a lower cost when measured in terms of opportunity cost is said to have a comparative advantage. Even though...
-
Time left 2:43:02 The managerial accounting reports of a company would be of most interest and benefit to the company's: A. bankers B. shareholders C. bond holders D. production manager
-
Evaluate the integral, if it exists. Jo y(y + 1) dy
-
Out of 110 diesel engines tested, a rework and repair facility found 9 had leaky water pumps, 15 had faulty cylinders, 4 had ignition problems, 52 had oil leaks, and 30 had cracked blocks. Draw a...
-
The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the...
-
The following frequency distribution reports the electricity cost for a sample of 50 two-bedroom apartments in Albuquerque, New Mexico, during the month of May last year. Electricity Cost Frequency $...
-
Preparation of a statement of financial position and statement of profit or loss and other comprehensive income LO3, 4 The summarised general ledger trial balance of Ryan Ltd, a spare parts...
-
Preparation of a statement of financial position, statement of profit or loss and other comprehensive income and statement of changes in equity LO3, 4, 5 The summarised general ledger trial...
-
Preparation of a statement of financial position, statement of profit or loss and other comprehensive income and statement of changes in equity LO3, 4, 5 The summarised general ledger trial...
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App