Binary TreesBinary Trees36

  1. 1Preorder Traversal of a Binary Tree using Recursion
  2. 2Preorder Traversal of a Binary Tree using Iteration
  3. 3Postorder Traversal of a Binary Tree Using Recursion
  4. 4Postorder Traversal of a Binary Tree using Iteration
  5. 5Level Order Traversal of a Binary Tree using Recursion
  6. 6Level Order Traversal of a Binary Tree using Iteration
  7. 7Reverse Level Order Traversal of a Binary Tree using Iteration
  8. 8Reverse Level Order Traversal of a Binary Tree using Recursion
  9. 9Find Height of a Binary Tree
  10. 10Find Diameter of a Binary Tree
  11. 11Find Mirror of a Binary Tree - Todo
  12. 12Inorder Traversal of a Binary Tree using Recursion
  13. 13Inorder Traversal of a Binary Tree using Iteration
  14. 14Left View of a Binary Tree
  15. 15Right View of a Binary Tree
  16. 16Top View of a Binary Tree
  17. 17Bottom View of a Binary Tree
  18. 18Zigzag Traversal of a Binary Tree
  19. 19Check if a Binary Tree is Balanced
  20. 20Diagonal Traversal of a Binary Tree
  21. 21Boundary Traversal of a Binary Tree
  22. 22Construct a Binary Tree from a String with Bracket Representation
  23. 23Convert a Binary Tree into a Doubly Linked List
  24. 24Convert a Binary Tree into a Sum Tree
  25. 25Find Minimum Swaps Required to Convert a Binary Tree into a BST
  26. 26Check if a Binary Tree is a Sum Tree
  27. 27Check if All Leaf Nodes are at the Same Level in a Binary Tree
  28. 28Lowest Common Ancestor (LCA) in a Binary Tree
  29. 29Solve the Tree Isomorphism Problem
  30. 30Check if a Binary Tree Contains Duplicate Subtrees of Size 2 or More
  31. 31Check if Two Binary Trees are Mirror Images
  32. 32Calculate the Sum of Nodes on the Longest Path from Root to Leaf in a Binary Tree
  33. 33Print All Paths in a Binary Tree with a Given Sum
  34. 34Find the Distance Between Two Nodes in a Binary Tree
  35. 35Find the kth Ancestor of a Node in a Binary Tree
  36. 36Find All Duplicate Subtrees in a Binary Tree

Zigzag Traversal of a Binary Tree - Iterative Approach



Algorithm Steps

  1. If the binary tree is empty, return an empty result.
  2. Initialize two stacks: currentStack and nextStack. Push the root node onto currentStack.
  3. Set a boolean flag leftToRight to true to indicate the traversal direction.
  4. While currentStack is not empty, do the following:
    1. Initialize an empty list to store the values of the current level.
    2. While currentStack is not empty, pop a node from it and record its value.
    3. If leftToRight is true, push the node's left child then right child (if they exist) onto nextStack; otherwise, push the node's right child then left child onto nextStack.
    4. After processing the current level, add the recorded values to the result.
    5. Swap currentStack with nextStack and toggle the leftToRight flag.
  5. Continue until all levels have been processed; the collected values form the zigzag traversal of the binary tree.

Code

Python
Java
JavaScript
C
C++
C#
Kotlin
Swift
Go
Php
class TreeNode:
    def __init__(self, val=0, left=None, right=None):
        self.val = val
        self.left = left
        self.right = right

def zigzagTraversal(root):
    if not root:
        return []
    result = []
    currentStack = [root]
    nextStack = []
    leftToRight = True
    level = []
    while currentStack:
        node = currentStack.pop()
        level.append(node.val)
        if leftToRight:
            if node.left:
                nextStack.append(node.left)
            if node.right:
                nextStack.append(node.right)
        else:
            if node.right:
                nextStack.append(node.right)
            if node.left:
                nextStack.append(node.left)
        if not currentStack:
            result.append(level)
            level = []
            currentStack, nextStack = nextStack, []
            leftToRight = not leftToRight
    return result

# Example usage:
if __name__ == '__main__':
    # Construct binary tree:
    #         1
    #        / \
    #       2   3
    #      / \   
    #     4   5  
    root = TreeNode(1, TreeNode(2, TreeNode(4), TreeNode(5)), TreeNode(3))
    print(zigzagTraversal(root))


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