Question

Suppose your code contains a loop that runs once for each number in a list. Assume...

Suppose your code contains a loop that runs once for each number in a list.
Assume there are 4 basic steps of work to do before the loop and 2 after, and the loop does 3 meaningful
steps of work for each iteration of the loop. You may assume that a basic step of work is represented as 1.
(a) Write an expression to describe the work of the program in terms of the size of the list. Refer
to the size of the list as n

(b) Determine the algorithmic time complexity of the program, for example logarithmic, linear, quadratic,cubic,
exponential. Also name its Big Oh complexity, for example O(1), O(logn), O(n), O(n2),...

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Answer #1

Below in the picture I have drawn the basic structure of he program and then calculated the complexity of the loop and then he complexity of the entire program.

The basic rules of BigOh is used to conclude to get to a linear growth but the equation make it apparent.

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