Consider the following Algorithm: ALGORITHM P(n) //Input a positive integer n i←1 j←0 for k← 1 to n do j←i+ji←j-i return j 1. a) What does this algorithm return when n=1, n=2, n=5? 2. b) What is its basic operation? 3. c) How many times the basic operation executed? 4. d) What is the space cost of the algorithm expressed in big-Theta? 5. e) What is the efficiency class of the algorithm? Show any assumptions you made to arrive at your answer. Indicate whether the efficiency class is constant, linear, quadratic, exponential, etc. in the input size.

Consider the following Algorithm: ALGORITHM P(n) //Input a positive integer n i←1 j←0 for k← 1 to n do j←i+ji←j-i return j 1. a) What does this algorithm return when n=1, n=2, n=5? 2. b) What is its basic operation? 3. c) How many times the basic operation executed? 4. d) What is the space cost of the algorithm expressed in big-Theta? 5. e) What is the efficiency class of the algorithm? Show any assumptions you made to arrive at your answer. Indicate whether the efficiency class is constant, linear, quadratic, exponential, etc. in the input size.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter2: Problem Solving Using C++using

Section2.4: Arithmetic Operations

Problem 6E

See similar textbooks

Related questions

Q: fraction:13/100 Decimal

A: In step 2, I have provided ANSWER with brief explanation-------------

Q: What precise numerical statement precisely conveys how many?

A: In this question we have to understand what precise numerical statement precisely conveys how many?…

Q: After descending 30 feet, a scuba diver paused to check his equipment before descending an…

A: - We need to represent the final depth of the diver.

Q: Computer programming uses the binary number system.

A: System of Number: In a computer system, all data is represented as a sequence of 1s and 0s. In a…

Q: Enter phone numbe Numbers:7 Numbers:78 Numbers:786 Numbers:786 Numbers:7869 786-9

A: Answer:

Q: This question seems wrong the answer should be 23.

A: SOLUTION -A pipeline is a method of executing many instructions simultaneously.In pipelined…

Q: Describe how to use arithmetic operators.

A: Arithmetic operators: Arithmetic operators take numerical values (either literals or variables) as…

Q: Briefly explain naming convention

A: Naming Convention Naming convention is the concept one should obey when one decide what to call your…

Q: Psuedocode that calculates total time taken to complete something: EX: Start time - 10:31am, End…

A: A psuedocode is the effective way of representing the steps used to solve a specific problem. It is…

Q: Python if else condition

A: To discuss Python if else condition.

Concept explainers

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.

Question

Only Typing answer

Consider the following Algorithm:
ALGORITHM P(n)
//Input a positive integer n
i←1
j←0
for k 1 to n do
ji+jij-i
return j
1. a) What does this algorithm return when n=1, n=2, n=5?
2. b) What is its basic operation?
3. c) How many times is the basic operation executed?
4. d) What is the space cost of the algorithm expressed in big-Theta?
5. e) What is the efficiency class of the algorithm? Show any assumptions you made to
arrive at your answer.
Indicate whether the efficiency class is constant, linear, quadratic, exponential, etc. in the
input size.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

(Program) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters, such as zerocount, onecount, twocount, and so forth, to 0. Then generate a large number of pseudorandom integers between 0 and 9. Each time 0 occurs, increment zerocount; when 1 occurs, increment onecount; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of time they occurred.
Determine the value of each of the following expressions. (For decimal numbers, round your answer to two decimal places.) (1) abs(-18) fabs(20.5) fabs(-87.2) pow(4, 2.0) pow(8.4, 3.5) sqrt(7.84) sqrt (196.0) sqrt (38.44)* pow(2.4, 2) / fabs(-3.2) floor(27.37) ceil(19.2) floor(12.45) + ceil(6.7) floor (-8.9) + ceil (3.45) floor(9.6) / ceil(3.7) pow(-4.0, 6.0) pow(10, -2.0) pow(9.2, 1.0 / 2)
The result of adding, subtracting, or multiplying two integers might result in overflow but never __________ or __________.
A(n) __________ contains 8 __________.
(Useful utility) Modify the program written for Exercise 3 to search for the first occurrence of a user-entered sequence of characters, and then replace this sequence, when it’s found in the string, with a second user-entered sequence. For example, if the entered string is Figure 4-4 illustrates the output of Program 4-2 and the user enters that 4- is to be replaced by 3-, the resulting string is Figure 3-4 illustrates the output of Program 4-2. (Only the first occurrence of the searched-for sequence has been changed.)
(Computation) Among other applications, Pascal’s triangle (see Figure 7.22) provides a means of determining the number of possible combinations of n things taken r at a time. For example, the number of possible combinations of five people (n = 5) taken two at a time (r=2)is10. Each row of the triangle begins and ends with 1. Every other element in a row is the sum of the element directly above it with the element to the left of the one above it. That is, element[n][r]=element[n1][r]+element[n1][r1] Using this information, write and test a C++ program to create the first 11 rows of a twodimensional array representing Pascal’s triangle. For any given value of n less than 11 and r less than or equal to n, the program should display the correct element. Use your program to determine in how many ways a committee of 8 can be selected from a group of 10 people
(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.
A(n) __________ is an array of characters.
(Practice) Although the total number of bytes varies from computer to computer, memory sizes of millions and billions of bytes are common. In computer language, the letter M representsthe number 1,048,576, which is 2 raised to the 20th power, and G represents 1,073,741,824, which is 2 raised to the 30th power. Therefore, a memory size of 4 MB is really 4 times 1,048,576 (4,194,304 bytes), and a memory size of 2 GB is really 2 times 1,073,741,824 (2,147,483,648 bytes). Using this information, calculate the actual number of bytes in the following: a. A memory containing 512 MB b. A memory consisting of 512 MB words, where each word consists of 2 bytes c. A memory consisting of 512 MB words, where each word consists of 4 bytes d. A thumb drive that specifies 2 GB e. A disk that specifies 4 GB f. A disk that specifies 8 GB
Why doesnt a CPU evaluate the expression 'A' = 'a' as true?
A set of instructions thats executed to solve a specific problem is called a(n) __________.
One way to determine how healthy a person is by measuring the body fat of the person. The formulas to determine the body fat for female and male are as follows: Body fat formula for women: A1 = (body weight x 0.732) + 8.987 A2 = wrist measurement (at fullest point)/3.140 A3 = waist measurement (at navel) x 0.157 A4 = hip measurement (at fullest point) x 0.249 A6 = forearm measurement (at fullest point) x 0.434 B = A1 + A2 A3 A4 + A5 Body fat = body weight - B Body fat percentage = body fat x 100/body weight Body fat formula for men: A1 = (Body weight x 1.082) + 94.42 A2 = wrist measurement x 4.15 B = A1 A2 Body fat = body weight B Body fat percentage = body fat x 100/body weight Write a program to calculate the body fat of a person.