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feat: add Morris Inorder Traversal algorithm in JavaScript issue #1806#1816

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63 changes: 63 additions & 0 deletionsTrees/MorrisTraversal.js
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// Morris Inorder Traversal
// Reference: https://www.geeksforgeeks.org/dsa/inorder-tree-traversal-without-recursion-and-without-stack/

/*
* Author: Saad Arqam
* Morris Inorder Traversal Algorithm implementation in JavaScript
*
* Morris Traversal is a tree traversal algorithm that allows
* inorder traversal without using recursion or a stack.
* It achieves O(1) extra space by temporarily modifying
* the tree structure (creating and removing "threads").
*
* Reference:
* https://en.wikipedia.org/wiki/Threaded_binary_tree#Morris_traversal
*/

// Node class
export class Node {
constructor(val) {
this.val = val
this.left = null
this.right = null
}
}

// Morris Inorder Traversal function
export function morrisTraversal(node) {
const result = []
let curr = node

while (curr !== null) {
if (curr.left === null) {
result.push(curr.val)
curr = curr.right
} else {
let predecessor = curr.left
while (predecessor.right !== null && predecessor.right !== curr) {
predecessor = predecessor.right
}
if (predecessor.right === null) {
predecessor.right = curr
curr = curr.left
} else {
predecessor.right = null
result.push(curr.val)
curr = curr.right
}
}
}

return result
}

// Example Tree:
// 7
// / \
// 5 8
// / \
// 3 6
// \
// 9
//
// Morris inorder traversal: [3, 5, 6, 9, 7, 8]
46 changes: 46 additions & 0 deletionsTrees/MorrisTraversal.test.js
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import { describe, it, expect } from 'vitest'
import { Node, morrisTraversal } from './MorrisTraversal.js'

describe('Morris Inorder Traversal', () => {
it('should return inorder traversal for a binary tree', () => {
// Tree:
// 4
// / \
// 2 5
// / \
// 1 3
const root = new Node(4)
root.left = new Node(2)
root.right = new Node(5)
root.left.left = new Node(1)
root.left.right = new Node(3)

const result = morrisTraversal(root)
expect(result).toEqual([1, 2, 3, 4, 5])
})

it('should return empty array for null input', () => {
const result = morrisTraversal(null)
expect(result).toEqual([])
})

it('should handle larger tree', () => {
// Tree:
// 7
// / \
// 5 8
// / \
// 3 6
// \
// 9
const root = new Node(7)
root.left = new Node(5)
root.right = new Node(8)
root.left.left = new Node(3)
root.left.right = new Node(6)
root.left.right.right = new Node(9)

const result = morrisTraversal(root)
expect(result).toEqual([3, 5, 6, 9, 7, 8])
})
})

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