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Binary TreesMedium

24. Boundary Traversal

Visits the boundary anti-clockwise: Root → Left Boundary → Leaf Nodes → Bottom-up Right Boundary.

Time O(n) Space O(h)
Open in 3D Studio

Live loop — open the studio to scrub, add your own array, or race it in Battle Arena.

Asked in interviews at

AmazonAppleStripe

Reference implementation (Python)

def boundary_traversal(root):
    if not root: return []
    res = [root.val]
    # Left boundary (top-down)
    # Leaf nodes (left-to-right)
    # Right boundary (bottom-up)
    return res

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Drop a live, looping 24. Boundary Traversal canvas into a blog post or course page.

<iframe src="/embed/tree-boundary" width="100%" height="380" style="border:1px solid #e6e8ec;border-radius:14px" loading="lazy" title="3D algorithm visualization by CodeWithMunnaX"></iframe>

Frequently asked

What is the time and space complexity of 24. Boundary Traversal?

24. Boundary Traversal runs in O(n) time and O(h) auxiliary space.

Is the 24. Boundary Traversal visualizer free?

The core 3D visualizer, Web Audio chimes and step intuition are free. A one-time ₹49 Pro Pass unlocks advanced algorithms, large custom arrays, Battle Arena and reel export.

Which companies ask 24. Boundary Traversal in interviews?

24. Boundary Traversal shows up in interviews at Amazon, Apple, Stripe.

How does the 3D visualization of 24. Boundary Traversal work?

Each array value becomes a 3D pillar whose height maps to its value. Comparisons glow amber, swaps flash red, and settled elements lock green while a floating pointer badge tracks the active index — synchronized line-by-line with the Python code.

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