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May 22, 2021 04:10
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Binary Search Tree: Traversal & Height
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/* Binary Search Tree */ | |
class Node { | |
constructor(data, left = null, right = null) { | |
this.data = data; | |
this.left = left; | |
this.right = right; | |
} | |
} | |
class BST { | |
constructor() { | |
this.root = null; | |
} | |
add(data) { | |
const node = this.root; | |
if (node === null) { | |
this.root = new Node(data); | |
return; | |
} else { | |
const searchTree = function(node) { | |
if (data < node.data) { | |
if (node.left === null) { | |
node.left = new Node(data); | |
return; | |
} else if (node.left !== null) { | |
return searchTree(node.left); | |
} | |
} else if (data > node.data) { | |
if (node.right === null) { | |
node.right = new Node(data); | |
return; | |
} else if (node.right !== null) { | |
return searchTree(node.right); | |
} | |
} else { | |
return null; | |
} | |
}; | |
return searchTree(node); | |
} | |
} | |
findMin() { | |
let current = this.root; | |
while (current.left !== null) { | |
current = current.left; | |
} | |
return current.data; | |
} | |
findMax() { | |
let current = this.root; | |
while (current.right !== null) { | |
current = current.right; | |
} | |
return current.data; | |
} | |
find(data) { | |
let current = this.root; | |
while (current.data !== data) { | |
if (data < current.data) { | |
current = current.left; | |
} else { | |
current = current.right; | |
} | |
if (current === null) { | |
return null; | |
} | |
} | |
return current; | |
} | |
isPresent(data) { | |
let current = this.root; | |
while (current) { | |
if (data === current.data) { | |
return true; | |
} | |
if (data < current.data) { | |
current = current.left; | |
} else { | |
current = current.right; | |
} | |
} | |
return false; | |
} | |
remove(data) { | |
const removeNode = function(node, data) { | |
if (node == null) { | |
return null; | |
} | |
if (data == node.data) { | |
// node has no children | |
if (node.left == null && node.right == null) { | |
return null; | |
} | |
// node has no left child | |
if (node.left == null) { | |
return node.right; | |
} | |
// node has no right child | |
if (node.right == null) { | |
return node.left; | |
} | |
// node has two children | |
var tempNode = node.right; | |
while (tempNode.left !== null) { | |
tempNode = tempNode.left; | |
} | |
node.data = tempNode.data; | |
node.right = removeNode(node.right, tempNode.data); | |
return node; | |
} else if (data < node.data) { | |
node.left = removeNode(node.left, data); | |
return node; | |
} else { | |
node.right = removeNode(node.right, data); | |
return node; | |
} | |
} | |
this.root = removeNode(this.root, data); | |
} | |
isBalanced() { | |
return (this.findMinHeight() >= this.findMaxHeight() - 1) | |
} | |
findMinHeight(node = this.root) { | |
if (node == null) { | |
return -1; | |
}; | |
let left = this.findMinHeight(node.left); | |
let right = this.findMinHeight(node.right); | |
if (left < right) { | |
return left + 1; | |
} else { | |
return right + 1; | |
}; | |
} | |
findMaxHeight(node = this.root) { | |
if (node == null) { | |
return -1; | |
}; | |
let left = this.findMaxHeight(node.left); | |
let right = this.findMaxHeight(node.right); | |
if (left > right) { | |
return left + 1; | |
} else { | |
return right + 1; | |
}; | |
} | |
inOrder() { | |
if (this.root == null) { | |
return null; | |
} else { | |
var result = new Array(); | |
function traverseInOrder(node) { | |
node.left && traverseInOrder(node.left); | |
result.push(node.data); | |
node.right && traverseInOrder(node.right); | |
} | |
traverseInOrder(this.root); | |
return result; | |
}; | |
} | |
preOrder() { | |
if (this.root == null) { | |
return null; | |
} else { | |
var result = new Array(); | |
function traversePreOrder(node) { | |
result.push(node.data); | |
node.left && traversePreOrder(node.left); | |
node.right && traversePreOrder(node.right); | |
}; | |
traversePreOrder(this.root); | |
return result; | |
}; | |
} | |
postOrder() { | |
if (this.root == null) { | |
return null; | |
} else { | |
var result = new Array(); | |
function traversePostOrder(node) { | |
node.left && traversePostOrder(node.left); | |
node.right && traversePostOrder(node.right); | |
result.push(node.data); | |
}; | |
traversePostOrder(this.root); | |
return result; | |
} | |
} | |
levelOrder() { | |
let result = []; | |
let Q = []; | |
if (this.root != null) { | |
Q.push(this.root); | |
while(Q.length > 0) { | |
let node = Q.shift(); | |
result.push(node.data); | |
if (node.left != null) { | |
Q.push(node.left); | |
}; | |
if (node.right != null) { | |
Q.push(node.right); | |
}; | |
}; | |
return result; | |
} else { | |
return null; | |
}; | |
}; | |
} | |
const bst = new BST(); | |
bst.add(9); | |
bst.add(4); | |
bst.add(17); | |
bst.add(3); | |
bst.add(6); | |
bst.add(22); | |
bst.add(5); | |
bst.add(7); | |
bst.add(20); | |
console.log(bst.findMinHeight()); | |
console.log(bst.findMaxHeight()); | |
console.log(bst.isBalanced()); | |
bst.add(10); | |
console.log(bst.findMinHeight()); | |
console.log(bst.findMaxHeight()); | |
console.log(bst.isBalanced()); | |
console.log('inOrder: ' + bst.inOrder()); | |
console.log('preOrder: ' + bst.preOrder()); | |
console.log('postOrder: ' + bst.postOrder()); | |
console.log('levelOrder: ' + bst.levelOrder()); |
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