Live Note

Remain optimistic

6.006 - 4

BST

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class Node {
constructor(value) {
this.data = value
this.leftChild = null
this.rightChild = null
}
}

class BST {
constructor() {
this.root = null
}

insert(value) {
let node = new Node(value)

if (!this.root) {
this.root = node
return
}

this._insertNode(this.root, node)
}

min() {
return this._findMin(this.root)
}

_findMin(node) {
if (!node) return null

while (node.leftChild) node = node.leftChild

return node
}

max() {
return this._findMax(this.root)
}

_findMax(node) {
if (!node) return null

while (node.rightChild) node = node.rightChild

return node
}

remove(data) {
this.root = this._remove(this.root, data)
}

_remove(node, key) {
if (!node) return null

if (key < node.data) {
node.leftChild = this._remove(node.leftChild, key)
return node
} else if (key > node.data) {
node.rightChild = this._remove(node.rightChild, key)
return node
} else {
if (node.leftChild === null && node.rightChild === null) {
node = null
return node
} else if (node.rightChild === null) {
node = node.leftChild
return node
} else if (node.leftChild === null) {
node = node.rightChild
return node
}

let min = this._findMin(node.rightChild)
node.data = min.data
node.rightChild = this._remove(node.rightChild, min.data)

return node
}
}

_insertNode(node, newNode) {
if (newNode.data < node.data) {
if (node.leftChild === null) node.leftChild = newNode
else this._insertNode(node.leftChild, newNode)
} else {
if (node.rightChild === null) node.rightChild = newNode
else this._insertNode(node.rightChild, newNode)
}
}

preOrderTraverseTree() {
this._preOrderTraverse(this.root)
}

_preOrderTraverse(node) {
if (node) {
console.log(node.data)
this._preOrderTraverse(node.leftChild)
this._preOrderTraverse(node.rightChild)
}
}

inOrderTraverseTree() {
this._inOrderTraverse(this.root)
}

_inOrderTraverse(node) {
if (node) {
this._inOrderTraverse(node.leftChild)
console.log(node.data)
this._inOrderTraverse(node.rightChild)
}
}

postOrderTraverseTree() {
this._postOrderTraverse(this.root)
}

_postOrderTraverse(node) {
if (node) {
this._postOrderTraverse(node.leftChild)
this._postOrderTraverse(node.rightChild)
console.log(node.data)
}
}
}

let bst = new BST()
bst.insert(2)
bst.insert(3)
bst.insert(1)
bst.insert(-1)
bst.insert(5)
bst.insert(-2)

// bst.preOrderTraverseTree();
bst.inOrderTraverseTree()
// bst.postOrderTraverseTree();

console.log(bst.min())
console.log(bst.max())

bst.remove(2)
bst.inOrderTraverseTree()

result:

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-1
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5
Node {data: -2, leftChild: null, rightChild: null}
Node {data: 5, leftChild: null, rightChild: null}
-2
-1
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5