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utils.js
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const Node = require('./Node');
const utils = {
// eslint-disable-next-line consistent-return
insert(root, value) {
if (root === null) {
const newNode = new Node(value);
// eslint-disable-next-line no-param-reassign
root = newNode;
return root;
}
if (value < root.value) {
// eslint-disable-next-line no-param-reassign
root.leftChild = this.insert(root.leftChild, value);
return root;
}
if (value > root.value) {
// eslint-disable-next-line no-param-reassign
root.rightChild = this.insert(root.rightChild, value);
return root;
}
},
preorder(root) {
/** returning an array so as to make testing easy */
let arr = [];
if (root === null) return [];
arr.push(root.value);
const left = this.preorder(root.leftChild);
arr = [...arr, ...left];
const right = this.preorder(root.rightChild);
arr = [...arr, ...right];
return arr;
},
inorder(root) {
/** left - root - right */
if (root === null) return [];
let arr = [];
const left = this.inorder(root.leftChild);
arr = [...left, ...arr];
// print root
arr = [...arr, root.value];
const right = this.inorder(root.rightChild);
arr = [...arr, ...right];
return arr;
},
postorder(root) {
/** left - right - root */
if (root === null) return [];
let arr = [];
const left = this.postorder(root.leftChild);
arr = [...left, ...arr];
const right = this.postorder(root.rightChild);
arr = [...arr, ...right];
return [...arr, root.value];
},
// eslint-disable-next-line consistent-return
search(root, value) {
if (root === null) return false;
if (value === root.value) return true;
if (value < root.value) {
return this.search(root.leftChild, value);
}
if (value > root.value) {
return this.search(root.rightChild, value);
}
},
delete(root, value) {
if (root === null) {
return root;
}
if (value > root.value) {
// eslint-disable-next-line no-param-reassign
root.rightChild = this.delete(root.rightChild, value);
} else if (value < root.value) {
// eslint-disable-next-line no-param-reassign
root.leftChild = this.delete(root.leftChild, value);
} else {
// found the node
if (root.leftChild === null) {
// there is a right sub-tree
return root.rightChild;
}
if (root.rightChild === null) {
// there is a left sub-tree
return root.leftChild;
}
/**
* the root contain 2 childs, we got 2 options:
* 1. We can either find the Node with minimum value at from the right sub-tree
* 2. Or, we can find the Node with maximum value from the left sub-tree
*
* I'm picking up 1 here
*/
const minRightNode = this.findMinNode(root.rightChild);
// eslint-disable-next-line no-param-reassign
root.value = minRightNode.value;
// eslint-disable-next-line no-param-reassign
root.rightChild = this.delete(root.rightChild, minRightNode.value);
return root;
}
return root;
},
findMinNode(root) {
/** The minnimum values is the let most leaf node in BST */
if (root.leftChild === null) return root;
return this.findMinNode(root.leftChild);
},
findMaxNode(root) {
if (root.rightChild === null) return root;
return this.findMaxNode(root.rightChild);
},
};
module.exports = utils;