Question

Time it takes to build a BST versus time needed to sort an array.

a) BST always faster
b) Sorting array always faster
c) Depends on the size of the array
d) Depends on the sorting algorithm

Answer 1

The time it takes to build a BST and sort an array depends on the size of the array and the sorting algorithm used.

Step-by-step explanation:

The time it takes to build a Binary Search Tree (BST) can vary depending on the number of elements in the tree and the arrangement of those elements. The worst-case time complexity for building a balanced BST from an array is O(n log n), where n is the number of elements in the array.

The time needed to sort an array can also vary depending on the size of the array and the sorting algorithm used. Efficient sorting algorithms like Quick Sort and Merge Sort have a worst-case time complexity of O(n log n), while simple algorithms like Bubble Sort and Selection Sort have a worst-case time complexity of O(n^2).

Therefore, the answer to the question depends on the size of the array and the sorting algorithm used. If the array is small or a highly efficient sorting algorithm is used, sorting the array may be faster. However, if the array is large or an inefficient sorting algorithm is used, building a BST may be faster.