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

Boundary Traversal of a Binary Tree - Iterative Approach



Algorithm Steps

  1. If the tree is empty, return an empty result.
  2. Add the root node's value to the result if it is not a leaf.
  3. Traverse the left boundary (excluding leaves) from the root and add the node values to the result.
  4. Add all leaf nodes from left to right to the result.
  5. Traverse the right boundary (excluding leaves) from the root, store the node values, and then add them in reverse order to the result.

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 isLeaf(node):
    return node.left is None and node.right is None

def addLeftBoundary(root, res):
    cur = root.left
    while cur:
        if not isLeaf(cur):
            res.append(cur.val)
        cur = cur.left if cur.left else cur.right

def addLeaves(root, res):
    if root is None:
        return
    if isLeaf(root):
        res.append(root.val)
    else:
        addLeaves(root.left, res)
        addLeaves(root.right, res)

def addRightBoundary(root, res):
    cur = root.right
    tmp = []
    while cur:
        if not isLeaf(cur):
            tmp.append(cur.val)
        cur = cur.right if cur.right else cur.left
    res.extend(tmp[::-1])

def boundaryTraversal(root):
    if not root:
        return []
    res = []
    if not isLeaf(root):
        res.append(root.val)
    addLeftBoundary(root, res)
    addLeaves(root, res)
    addRightBoundary(root, res)
    return res

if __name__ == '__main__':
    # Construct binary tree:
    #         1
    #        / \
    #       2   3
    #      / \   \
    #     4   5   6
    #            /
    #           7
    root = TreeNode(1, TreeNode(2, TreeNode(4), TreeNode(5)), TreeNode(3, None, TreeNode(6, TreeNode(7))))
    print(boundaryTraversal(root))


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