Question

Answer each of the following questions with a tight big-o asymptotic bound. justify with algorithmic reasoning

a priority queue, unsortedmpq, is implemented based on an unsorted array. what is the running time of the operation which retrieves the minimum value?

Answer 1

The running time of retrieving the minimum value from an unsorted priority queue implemented based on an unsorted array is O(n) where n is the number of elements in the array.

Step-by-step explanation:

An unsorted priority queue is one in which we insert at the end and remove elements based on priority(i,e; smallest value in the queue).

The running time of retrieving the minimum value from an unsorted priority queue implemented based on an unsorted array is O(n), where n is the number of elements in the array.

To find the minimum value, we would need to compare each element of the array with the current minimum value. In the worst case, the minimum value could be in the last position of the array, requiring us to traverse the entire array. This results in a linear time complexity of O(n).

For example, if we have an array with 100 elements, the worst case scenario would be that we need to compare all 100 elements to find the minimum value.