Which is better, the improved binary search tree or the conventional binary tree?

In the binary search tree, write a function that takes in a root, p, and checks whether the tree rooted in p is a binary search tree or not. What is the time complexity of your function? def is_bst(self, p: Node):

Using dev c++, I need to implement my own Binary Search Tree. There will be one number per line and you should incrementally insert them into your binary search. You should keep inserting numbers until you read a -1. Construct a binary search tree based on the numbers given on stdin. Then print out the pre-order, in-order, and post-order traversals each on their own lines. You should print out the numbers separated by spaces and it is acceptable to have a space at the end of each line. Sample Input 50 30 35 61 24 58 62 32 -1 Sample Output: 50 30 24 35 32 61 58 62 24 30 32 35 50 58 61 62 24 32 35 30 58 62 61 50

Which is preferable: the normal binary tree or the advanced binary search tree in this case?