write a program that allows the user to enter a binary tree in a parenthesized prefix format and then allows it to be categorized and allows various features of that tree to be displayed.

CMSC 350 Project 3 The third programming project involves writing a program that allows the user to enter a binary tree in a parenthesized prefix format and then allows it to be categorized and allows various features of that tree to be displayed. An example of a tree written in the input format is the following: (A(G(j)(1))(z(5))) In the above example, data in each node of the tree contains a single alphanumeric character. No spaces are permitted. Each tree is enclosed in parentheses. Inside those parentheses, after the single character are either zero, one or two subtrees also enclosed in parentheses. When only one subtree is present, it is the left subtree and when two are present, they represent the left and right subtrees. So the above string represents the following

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