Question

Given a C++ vector of unsorted integer values, derive the O(.) (big O) time complexity of an implementation that finds the sum of all values in the vector.

Answer 1

Calculating the sum of all values in an unsorted C++ vector has a linear time complexity of O(n), as the algorithm must visit and add each element in the vector once.

Step-by-step explanation:

The time complexity of an implementation that finds the sum of all values in a C++ vector of unsorted integers is O(n), where n is the number of elements in the vector.

This is because the implementation needs to iterate through each element in the vector exactly once to calculate the sum. Regardless of the size of the vector, the number of operations required is directly proportional to the number of elements.

For example, if the vector contains 100 elements, the implementation will perform 100 addition operations, resulting in a linear time complexity of O(n).