Question: Given a BST of numbers, write a method that accepts a tree node x and returns a pair of 2 nodes on the BST. The

Given a BST of numbers, write a method that accepts a tree node x and returns a pair of 2 nodes on the BST. The first node is the next smaller node and the second node is the next bigger node. Note that the tree node x may or may not be on the BST. For example, consider the following BST. Input: Node 99 returns a pair of nodes: node 95 and node 100 Input: Node 132 returns a pair of nodes: node 132 and node 132 Input: Node 10 returns a pair of nodes: null and node 80 Input: Node 200 returns a pair of nodes: node 100 and null You may reuse the BST class from the homework. Write a driver program that constructs the BST shown above, then tests the correct nodes are returned in the 4 cases. Submit a complete Java program that I can compile and test

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