Suppose an Algorithm Is Designed to Test Whether the First

question 10

Multiple Choice

Suppose an algorithm is designed to test whether the first element of an array is equal to the second. If the array has 10 elements, this algorithm requires one comparison. If the array has 1000 elements, it still requires only one comparison. Which of the following statements is false:

• A) The algorithm is completely independent of the number of elements in the array.
• B) This algorithm is said to have a constant run time, which is represented in Big O notation as O(1) and pronounced as "order one."
• C) An algorithm that's O(1) does not necessarily require only one comparison. O(1) simply means that the number of comparisons is constant-it does not grow as the size of the array increases.
• D) An algorithm that tests whether the first element of an array is equal to any of the next three elements is O(3).

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Definitions:

Explicit Costs

Direct payments made to others in the course of running a business, such as wages, rent, and materials.

Implicit Costs

Costs that represent foregone opportunities, such as the income a business owner forgoes by investing in their own company instead of elsewhere.

Explicit Costs

Directly incurred expenses in the operation of a business, such as wages, rent, and material costs, which are clearly accounted for and easy to identify.

Opportunity Costs

The potential benefits missed out on when choosing one alternative over another.