Answer:
A python code was used in writing of the recursive function max_depth; and passed a binary (any binary tree, not necessarily a binary search tree) and a value as arguments.
Explanation:
Solution
To solve this given question we make use of Python programming language.
Thus
THE CODE:
class BinaryTreeNode:
def __init__(self, value, left=None, right=None):
self.value = value
self.left = left
self.right = right
# recursive max_depth function implementation
def max_depth(tree, value):
if tree == None:
return -1
# recursive calls to this function
leftDepth = max_depth(tree.left, value)
rightDepth = max_depth(tree.right, value)
# return the maximum depth
if tree.value == value or leftDepth > -1 or rightDepth > -1:
return 1 + max(leftDepth, rightDepth)
else:
return max(leftDepth, rightDepth)
btn1 = BinaryTreeNode(2)
btn2 = BinaryTreeNode(3, None, btn1)
btn3 = BinaryTreeNode(3)
btn4 = BinaryTreeNode(3)
btn5 = BinaryTreeNode(2, btn2, btn3)
btn6 = BinaryTreeNode(1, btn4)
tree = BinaryTreeNode(3, btn5, btn6)
print('max_depth(tree, 1):',max_depth(tree, 1))
print('max_depth(tree, 2):',max_depth(tree, 2))
print('max_depth(tree, 3):',max_depth(tree, 3))
Note: Kindly find an attached copy of the Implementation of max_depth() function, Code to test the max_depth() function and the sample output below.
