Using a self-balancing binary search tree, binary tree sort may complete in O(n log n) time, which is still slower than merge sort.

Copying and pasting is prohibited Write a python program to implement Breadth first search Traversal

Java

Problem Description Using the binary search tree (BST) data structure, we can sort a sequence of n elements by first calling an insertion procedure for n times to maintain a BST, and then performing an INORDER-TREE-WALK on the BST to output the elements in sorted order. To insert a node, we've discussed the TREE-INSERT procedure in class (also from page 294 of the text- book). This TREE-INSERT procedure can actually be improved to reduce the number of key comparisons so that each node's key is compared with the new node's key for at most once during each insertion. For example, given the following BST, The improved insertion procedure will make • 2 comparisons to insert a node with key = 1 • 3 comparisons to insert a node with key = 3 • 2 comparisons to insert a node with key = 8 5. Program Requirements In this programming assignment, you will implement in Java this sorting algorithm using BST, by using the improved insertion procedure. Note that each node of a BST is an object…