Created
August 13, 2024 04:07
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Binary Search Tree - Insert, Delete
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class TreeNode { | |
constructor(value) { | |
this.value = value; | |
this.left = null; | |
this.right = null; | |
} | |
} | |
class BinarySearchTree { | |
constructor() { | |
this.root = null; | |
} | |
insert(value) { | |
const newNode = new TreeNode(value); | |
if (this.root === null) { | |
this.root = newNode; | |
return; | |
} | |
let currentNode = this.root; | |
while (true) { | |
if (value < currentNode.value) { | |
// Go left | |
if (!currentNode.left) { | |
currentNode.left = newNode; | |
return; | |
} | |
currentNode = currentNode.left; | |
} else { | |
// Go right | |
if (!currentNode.right) { | |
currentNode.right = newNode; | |
return; | |
} | |
currentNode = currentNode.right; | |
} | |
} | |
} | |
delete(value) { | |
this.root = this._deleteNode(this.root, value); | |
} | |
_deleteNode(node, value) { | |
if (node === null) { | |
return node; | |
} | |
if (value < node.value) { | |
node.left = this._deleteNode(node.left, value); | |
} else if (value > node.value) { | |
node.right = this._deleteNode(node.right, value); | |
} else { | |
// Node to be deleted found | |
// Case 1: Node has no children (leaf node) | |
if (!node.left && !node.right) { | |
return null; | |
} | |
// Case 2: Node has one child | |
if (!node.left) { | |
return node.right; | |
} | |
if (!node.right) { | |
return node.left; | |
} | |
// Case 3: Node has two children | |
// Replace with the smallest value in the right subtree (in-order successor) | |
const minValue = this._findMin(node.right); | |
node.value = minValue; | |
node.right = this._deleteNode(node.right, minValue); | |
} | |
return node; | |
} | |
_findMin(node) { | |
while (node.left !== null) { | |
node = node.left; | |
} | |
return node.value; | |
} | |
} | |
const bst = new BinarySearchTree(); | |
bst.insert(10); | |
bst.insert(5); | |
bst.insert(15); | |
bst.insert(2); | |
bst.insert(7); | |
bst.insert(12); | |
bst.insert(17); | |
console.log("Tree before deletion:"); | |
console.log(bst.root); | |
bst.delete(10); | |
console.log("Tree after deleting 10:"); | |
console.log(bst.root); |
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