How do I insert a node into a binary search tree?

How do I insert a node into a binary search tree?

To insert a node, start at the root. If the tree is empty, the new node becomes the root. Otherwise, compare the new node's value with the current node's value. If it's smaller, go left; if larger, go right. Repeat this until you find an empty spot.

Can you show me an example of inserting a node with value 5?

Sure! Let's say we have a tree with root value 10. Since 5 is less than 10, we move left. If the left child is empty, we insert 5 there. If not, we continue comparing until we find an empty spot.

What if I want to insert a value that already exists?

In a standard binary search tree, duplicate values are usually not allowed. You can either ignore the insertion or implement a strategy to handle duplicates, like counting occurrences.

Are there any specific algorithms for balancing the tree after insertion?

Yes! After insertion, you can use algorithms like AVL or Red-Black trees to maintain balance, ensuring efficient operations.