An Interest In:
Web News this Week
- April 24, 2024
- April 23, 2024
- April 22, 2024
- April 21, 2024
- April 20, 2024
- April 19, 2024
- April 18, 2024
Using Recursion to Insert Values Into a Sorted Binary Tree
Hi! I have been playing around with sorted binary trees recently.
In computer science, a binary search tree (BST), also called an ordered or sorted binary tree, is a rooted binary tree data structure whose internal nodes each store a key greater than all the keys in the node's left subtree and less than those in its right subtree. The time complexity of operations on the binary search tree is directly proportional to the height of the tree.
My favorite part about binary trees is using recursion to travel down the nodes.
For the insert() method of my tree. I do 2 things
I check if the tree is empty if so I add the node.
I create a recursive function to travel down the tree and eventually add the new node if it hits the end of the branch (no more nodes)
Let's get cracking!
First part = check if the list is empty and if it is add a new node as the root and return
// node class for reference class Node { constructor(value){ this.value = value; this.left = null; this.right = null }}
let newNode = new Node(value); // if empty if (this.count === 0) { this.root = newNode; this.count++; return; }
Still with me?
Cool! so here's the fun part
this.count++; //recursive call const searchTree = node => { // less than if (value < node.value) { if (!node.left) { node.left = newNode; } else { searchTree(node.left) } greater than } else if (value > node.value) { if (!node.right) { node.right = newNode; } else { searchTree(node.right); } } } //start of recursive call searchTree(this.root) }
Let's
We have the following tree
31 30 20 2910 5 4
We want add 27
1st. we check if it is empty (it's not)
2nd we start the recursive call with the root (10)
first call
if (27 < 10) ....false!
goes to else if (27 > 10) ...true!
inside of else if
if (!10.right) false!!!
else {calls the recursive function but with 20}
this continues till it hits 29 at which
if (27 < 29) ...true!
if (!node.right)....TRUE!!!!!
ok! we're done!
node.right = newNode;
What do you think?
Did you enjoy this post?
Or did I get something wrong?
Feel free to contact me using my website or in the comments section below.
Have a fantastic day!
Original Link: https://dev.to/zachinjapan/using-recursion-to-insert-values-into-a-sorted-binary-tree-3a1e
Dev To
An online community for sharing and discovering great ideas, having debates, and making friendsMore About this Source Visit Dev To