MEDIUM NC#49 Trees

110. Balanced Binary Tree

📖 Problem

Given a binary tree, determine if it is height-balanced. A height-balanced binary tree is a binary tree in which the left and right subtrees of every node differ in height by no more than 1.

🧠 Visual Learning Aid

1 Model the input into the right structure
2 Choose the core technique and invariant
3 Execute step-by-step with a sample
4 Validate complexity and edge cases

JS/TS Refreshers

  • Array methods (`push`, `pop`, `shift`, `slice`)
  • Object/Map/Set usage patterns
  • Function parameter and return typing
  • In-place array updates
  • Sorted array traversal
  • Boundary condition checks

Logical Thinking Concepts

  • Define invariants before coding
  • Check edge cases first (`[]`, single element, duplicates)
  • Estimate time/space before implementation
  • Apply Two Pointers reasoning pattern
  • Apply BFS reasoning pattern
  • Apply Recursion reasoning pattern

💡 Approach

  • Calculate height for each node recursively
  • If subtree is unbalanced (height diff > 1), return -1
  • Tree is balanced if root height is not -1
  • Time: O(n), Space: O(h) where h is tree height

🛠️ Hints & Pitfalls

Hints

  • Calculate height for each node recursively
  • If subtree is unbalanced (height diff > 1), return -1
  • Tree is balanced if root height is not -1

Common Pitfalls

  • Time: O(n), Space: O(h) where h is tree height

🧪 Test Cases

Hidden tests on submit: 1

Test Case 1
Not run
Input:
checkHeight(node: TreeNode | null);
Expected:
Computed from hidden reference
Test Case 2
Not run
Input:
checkHeight(node.left);
Expected:
Computed from hidden reference
Test Case 3
Not run
Input:
checkHeight(node.right);
Expected:
Computed from hidden reference

📝 Code Editor

📚 Reference Solution

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