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Python Binary Search Tree: Find the closest value of a target in a given non-empty Binary Search Tree (BST) of unique values

Python Binary Search Tree: Exercise-2 with Solution

Write a Python program to find the closest value of a given target value in a given non-empty Binary Search Tree (BST) of unique values.

Sample Solution:

Python Code:

class TreeNode(object):
    def __init__(self, x):
        self.val = x
        self.left = None
        self.right = None

def closest_value(root, target):
    a = root.val
    kid = root.left if target < a else root.right
    if not kid:
        return a
    b = closest_value(kid, target)
    return min((a,b), key=lambda x: abs(target-x))

root = TreeNode(8)  
root.left = TreeNode(5)  
root.right = TreeNode(14) 
root.left.left = TreeNode(4)  
root.left.right = TreeNode(6) 
root.left.right.left = TreeNode(8)  
root.left.right.right = TreeNode(7)  
root.right.right = TreeNode(24) 
root.right.right.left = TreeNode(22)  
    
result = closest_value(root, 19)
print(result)

Sample Output:

22

Flowchart:

Flowchart: Find the closest value of a target in a given non-empty Binary Search Tree of unique values.

Python Code Editor:

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Previous: Write a Python program to create a Balanced Binary Search Tree (BST) using an array (given) elements where array elements are sorted in ascending order.
Next: Write a Python program to check whether a given a binary tree is a valid binary search tree (BST) or not.

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m