Computer Science Illuminated
Computer Science Illuminated
7th Edition
ISBN: 9781284155617
Author: Nell Dale, John Lewis
Publisher: Jones & Bartlett Learning
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Chapter 18, Problem 1E
Program Description Answer

O (N!) is the Big-O notation for factorial time.

Hence, the correct option is “G”.

Expert Solution & Answer
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Explanation of Solution

O (N!):

  • Big-O notation is used to describe the limiting behavior of a function.
  • O represents the order of a function.
  • An algorithm is said to be in factorial time if its time complexity is O (N!).
  • These algorithms are costlier than exponential algorithms.
  • Factorial time algorithms generally run slower than exponential algorithms asymptotically.
  • O (N!) grows faster than exponential time algorithms when the base is constant such as 2n or en. Hence N! grows very fast when it is compared to the power of N.
  • But N2 grows faster than factorial time algorithms because as N increases base also increases.
  • An example is solving travelling salesman problem by brute force search.

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Need help answering these questions!1. Design a While loop that lets the user enter a number. The number should be multiplied by 10, and the result stored in a variable named product. The loop should iterate as long as the product contains a value less than 100.   2. Design a For loop that displays the following set of numbers: 0, 10, 20, 30, 40, 50 . . . 1000   3. Convert the While loop in the following code to a Do-While loop:     Declare Integer x = 1     While x > 0        Display "Enter a number."        Input x     End While
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