Day 15
Day 15: Binary Search Trees
15/60 Days
Binary Search Trees #
Welcome to Day 15 of our 60 Days of Coding Algorithm Challenge! Today, we’ll dive into Binary Search Trees (BST), a powerful data structure that combines the efficiency of binary search with the flexibility of a linked data structure.
What is a Binary Search Tree? #
A Binary Search Tree is a binary tree with the following properties:
- The left subtree of a node contains only nodes with keys less than the node’s key.
- The right subtree of a node contains only nodes with keys greater than the node’s key.
- Both the left and right subtrees must also be binary search trees.
These properties make BSTs efficient for search, insertion, and deletion operations.
Implementing a Binary Search Tree in Python #
Let’s implement a basic Binary Search Tree:
1class BSTNode:
2 def __init__(self, key):
3 self.key = key
4 self.left = None
5 self.right = None
6
7class BinarySearchTree:
8 def __init__(self):
9 self.root = None
10
11 def insert(self, key):
12 self.root = self._insert_recursive(self.root, key)
13
14 def _insert_recursive(self, root, key):
15 if root is None:
16 …
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