Write a function, countNegativeNodes(TreeNode* p), that returns the number of nodes in a binary tree that have negative numbers as their node value. Use RECURSION.

Written in Java The diameter D of a binary tree is defined as the number of nodes on the longest path between any two nodes in the tree. The path may pass through the root, but does not have to. For a given diameter, there may be more than one path which has the longestlength. For example, the following tree has diameter of 5:

Write a program that takes any word, like SUSHI, and builds a binary search tree in alphabetical order, allowing duplicate letters, which will be inserted to the left when the duplicate is encountered. Then output the string in a vertical tree-like form. Input will be a one-word string (all caps) greater than or equal to 1 letter(s) long. Assume proper input. The vertical tree should consist of a line of nodes, followed by a line of / and \ characters indicating relationships, followed by a line of nodes, etc. Assume all nodes are representable as a single character. Adjacent nodes on the lowest level should be separated by at least one space, nodes further up should be separated as appropriate. Nodes with two children should be placed precisely in the middle of their direct children. Relationship slashes should be halfway between the parent and the appropriate child (round whichever way you want). The user should be able to visualize the levels lining up with each other. In C++, use…