Question

The following function returns the first value in a list that is greater than the specified value. If the specified value is 79 and the list is [20,37,19,79,42,66,18], which describes the runtime complexity? Function FindFirstGreaterThan(integer array(?) list, integer value) returns integer foundValue integer i foundValue = value for i=0;(i< list. size ) and (foundValue == value); i=i+1 if list [i]> value foundValue = list(i] < codes Best case Best and worst case are the same Worst case Neither best case nor worst case

Answer 1

The runtime complexity of the function is O(n) or linear.

Step-by-step explanation:

The runtime complexity of the given function is O(n), where n is the size of the list.

In the worst case, when the specified value is not present in the list or the first value greater than the specified value is at the end of the list, the function will need to iterate through all the elements in the list.

Therefore, the best and worst case of the runtime complexity are the same, which is O(n) or linear time complexity.

Answer 2

The FindFirstGreaterThan function has a linear runtime complexity, often known as O(n), where n is the length of the input list.

This means that the time required to execute the function grows linearly in proportion to the size of the list. In the best-case situation, the first item in the list is greater than the stated value, and the function can return that value immediately rather than iterating through the rest of the list.

However, the best case and worst case scenarios are the same for this function because it iterates through the entire list in the worst case, checking each value against the specified value until a greater value is found or the end of the list is reached.