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@pertrai1 pertrai1 commented Jan 16, 2026

Summary by CodeRabbit

  • New Features

    • Added Binary Tree Level Order Traversal problem to the Blind 75 collection and updated total count to 12.
  • Documentation

    • Added problem README with description, examples and constraints.
    • Removed progress and "Coming Soon" subsections to simplify listings; cleaned up per-category progress markers.
  • Tests

    • Added tests covering empty, single-node, balanced, unbalanced, negative values, deeper trees, and missing-child scenarios.

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@pertrai1 pertrai1 requested a review from Copilot January 16, 2026 13:39
@pertrai1 pertrai1 added the code challenge this is a coding challenge label Jan 16, 2026
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coderabbitai bot commented Jan 16, 2026

Note

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📝 Walkthrough

Walkthrough

Adds a new Binary Tree Level Order Traversal problem with implementation, tests, and docs; removes per-collection progress lines and the "Coming Soon" subsection; increments GreatFrontEnd problem count to 12 in the top-level README.

Changes

Cohort / File(s) Summary
Top-level & collection docs
README.md, greatfrontend/blind-75/README.md
Incremented GreatFrontEnd problem count to 12; removed the Progress subsection and per-category progress lines; removed the Coming Soon subsection (Frontend System Design entry).
New problem documentation
greatfrontend/blind-75/trees/level-order-traversal/README.md
Added README describing Binary Tree Level Order Traversal, with TreeNode shape, examples, and constraints.
Implementation & tests
greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts, .../binary-tree-level-order-traversal.test.ts
Added TreeNode interface and binaryTreeLevelOrderTraversal(root) implementation returning number[][]; added Vitest tests covering empty, single-node, balanced, unbalanced, negative values, full three-level, and missing-left-child cases.

Sequence Diagram(s)

(omitted — changes do not introduce multi-component control flow requiring sequence diagrams)

Estimated code review effort

🎯 3 (Moderate) | ⏱️ ~25 minutes

Poem

🐰 I hop from root down row by row,
I gather values where lightings glow,
Left then right, I queue the cheer,
Levels revealed — a carrot-tier,
New leafs solved, I wiggle with delight!

🚥 Pre-merge checks | ✅ 2 | ❌ 1
❌ Failed checks (1 warning)
Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 50.00% which is insufficient. The required threshold is 80.00%. Write docstrings for the functions missing them to satisfy the coverage threshold.
✅ Passed checks (2 passed)
Check name Status Explanation
Description Check ✅ Passed Check skipped - CodeRabbit’s high-level summary is enabled.
Title check ✅ Passed The title 'Blind 75: Binary Tree Level Order Traversal' accurately and concisely summarizes the main change - adding a new binary tree level-order traversal problem to the Blind 75 coding challenges collection.

✏️ Tip: You can configure your own custom pre-merge checks in the settings.

✨ Finishing touches
  • 📝 Generate docstrings
🧪 Generate unit tests (beta)
  • Create PR with unit tests
  • Post copyable unit tests in a comment
  • Commit unit tests in branch blind-1162025


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  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
🚧 Files skipped from review as they are similar to previous changes (1)
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📓 Path-based instructions (9)
**/*.ts

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**/*.ts: Use explicit type annotations for function parameters and return types
Follow strict TypeScript configuration (defined in tsconfig.json)
Target ES2020 with CommonJS modules
Strict mode enabled with ES2020 target and CommonJS modules for TypeScript

**/*.ts: Use explicit type annotations for function parameters and return types in TypeScript solutions
Follow strict TypeScript configuration with ES2020 target and CommonJS modules
Avoid any type unless absolutely necessary in TypeScript solutions
Use interfaces for object types in TypeScript solutions

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**/*.test.{ts,js}

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Use *.test.ts or *.test.js naming convention for test files

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**/*.{ts,js}

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**/*.{ts,js}: Test complex algorithms with helper functions, data structure implementations, solutions with multiple edge cases, GreatFrontEnd API implementations, and reusable utility functions
Use descriptive variable names (single letters like i, j, k are acceptable for loop iterators and standard mathematical contexts)
Don't use deprecated JavaScript features

Files:

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**/*-*.{ts,js,md}

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Use kebab-case for file names matching problem names

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**/*.{js,ts}

📄 CodeRabbit inference engine (CLAUDE.md)

**/*.{js,ts}: Verify the solution correctly solves the problem for all test cases, including edge cases: empty arrays, single elements, negative numbers, null values
Document and verify time and space complexity using Big O notation, typically in code comments or docs/analysis/ files
Use clear, descriptive variable names (not just i, j, k unless in simple loops) and add comments for non-obvious logic or algorithm steps
Use const by default, let only when reassignment is needed; avoid var except for LeetCode solution function definitions
Use strict equality (===) over loose equality (==)
Use modern ES6+ syntax (arrow functions, destructuring, spread operators) where appropriate and prefer built-in methods (.map(), .filter(), .reduce())

**/*.{js,ts}: Use const by default, let only when reassignment is needed in JavaScript/TypeScript
Use strict equality (===) over loose equality (==) in JavaScript/TypeScript
Use descriptive variable names; single letters like i, j, k acceptable only for standard loop contexts
Prefer built-in array methods (.map(), .filter(), .reduce()) in JavaScript/TypeScript
Fix ESLint errors with npm run quality:fix and ensure proper code formatting with Prettier

Files:

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**/greatfrontend/**/*.{js,ts}

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Verify parameter validation, error handling, and consider edge cases specific to browser environments (empty inputs, invalid types)

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**/*.test.ts: Test all examples from problem description in test files
Add edge case tests: empty inputs, single elements, nulls, boundary conditions in test files
Use descriptive test names that explain what is being tested in test files
Group related tests using describe blocks in test files
Include both positive and negative test cases in test files
Add test cases for new solutions and update tests when refactoring existing solutions

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*-*.test.ts

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🧠 Learnings (14)
📓 Common learnings
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/**/README.md : Keep README files up to date with problem counts and organization
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/*/*/ : Ensure problems are in correct difficulty folders (easy, medium, hard) in the LeetCode directory
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: .github/copilot-instructions.md:0-0
Timestamp: 2025-12-30T13:41:07.657Z
Learning: Applies to leetcode/**/README.md : Problem README files should include: problem title with difficulty badge, problem description, examples with inputs and outputs, and constraints
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/README.md : Include problem title and difficulty badge, link to the problem on the respective platform (LeetCode, GreatFrontEnd, etc.), problem description, examples and constraints
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Add edge case tests: empty inputs, single elements, nulls, boundary conditions in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Add test cases for new solutions and update tests when refactoring existing solutions

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/*.test.{js,ts} : Use Vitest for testing complex solutions, data structures, and GreatFrontEnd implementations; ensure tests handle edge cases, async operations, and cleanup logic

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Include both positive and negative test cases in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/**/*.{js,ts} : Test edge cases if adding or modifying solution code

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Test all examples from problem description in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:07.657Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: .github/copilot-instructions.md:0-0
Timestamp: 2025-12-30T13:41:07.657Z
Learning: Applies to **/*.{ts,js} : Test complex algorithms with helper functions, data structure implementations, solutions with multiple edge cases, GreatFrontEnd API implementations, and reusable utility functions

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/*.{js,ts} : Verify the solution correctly solves the problem for all test cases, including edge cases: empty arrays, single elements, negative numbers, null values

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Use descriptive test names that explain what is being tested in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Group related tests using `describe` blocks in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/**/*.{js,ts} : Include examples in comments for complex algorithms in solution files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/graph/**/*.{js,ts} : Verify proper graph representation (adjacency list/matrix), visited tracking to avoid cycles, and correct DFS/BFS implementation following standard patterns

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/union-find/**/*.{js,ts} : Confirm Union-Find correctness including proper path compression and union by rank/size optimizations

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
🧬 Code graph analysis (1)
greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts (1)
greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts (2)
  • binaryTreeLevelOrderTraversal (13-36)
  • TreeNode (1-5)
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greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts (1)

1-93: Solid, comprehensive test coverage.

Covers empty, single-node, balanced/unbalanced, and example-driven cases with clear assertions.

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github-actions bot commented Jan 16, 2026

Claude finished @pertrai1's task in 1m 14s —— View job


Code Review: Binary Tree Level Order Traversal

Reviewing this PR as a coding challenge learning exercise.

Progress

  • Read solution implementation
  • Read test file
  • Read problem README
  • Analyze correctness and edge cases
  • Evaluate complexity analysis
  • Identify patterns and key insights
  • Provide comprehensive review feedback

1. Correctness ✅

The solution correctly implements level-order traversal using DFS (Depth-First Search) rather than the more common BFS approach. Let me trace through Example 2:

Tree: [1,2,3,4,5,6,7]
      1
     / \
    2   3
   / \ / \
  4  5 6  7

DFS traversal order: 1 → 2 → 4 → 5 → 3 → 6 → 7
With level tracking: [1] → [2,3] → [4,5,6,7] ✓

Edge Cases Handled:

  • ✅ Empty tree (null root) - returns [] (line 25-27)
  • ✅ Single node - works correctly
  • ✅ Unbalanced trees - tested
  • ✅ Negative values - problem constraints mention -100 to 100

Test Coverage: Good! The test suite covers the key edge cases. However, I'd suggest one additional test:

it('should handle a tree with only left children', () => {
  const root: TreeNode = {
    val: 1,
    left: {
      val: 2,
      left: { val: 3, left: null, right: null },
      right: null
    },
    right: null
  };
  const result = binaryTreeLevelOrderTraversal(root);
  expect(result).toEqual([[1], [2], [3]]);
});

2. Complexity Analysis 📊

Time Complexity: O(n) where n = number of nodes

  • Each node is visited exactly once in the DFS traversal
  • Array operations (push) are O(1) amortized

Space Complexity: O(h + n) where h = tree height

  • O(h) for the recursive call stack (worst case O(n) for skewed tree)
  • O(n) for the output array storing all node values
  • Combined: O(n) in the worst case

Note: The iterative BFS approach would have O(w) space for the queue where w is max tree width, which could be more space-efficient for narrow/deep trees.


3. Learning Focus: Algorithmic Patterns 🎯

Pattern Used: DFS with Level Tracking

This is a clever twist on the typical level-order traversal pattern. Most solutions use BFS (breadth-first search) with a queue, but this uses DFS (depth-first search) with a level parameter.

Key Insight:
The non-obvious trick is using levels.length === level to determine if we've reached a new level for the first time. This works because:

  1. DFS visits the leftmost node at each level first
  2. When we encounter a level for the first time, levels.length equals the current level index
  3. We initialize a new array for that level, then all subsequent nodes at that level append to it

Why This Approach Works:

  • DFS naturally traverses depth-first, but by tracking levels, we can group nodes by depth
  • The recursive nature ensures we process all nodes at each level before moving deeper
  • Pre-order traversal (parent → left → right) ensures left-to-right ordering within each level

4. Code Quality 🔍

Strengths:

  • ✅ Clear, descriptive function names (traverseLevel)
  • ✅ Proper TypeScript typing with TreeNode interface
  • ✅ Concise implementation (30 lines including types)
  • ✅ Logical variable names (levels, level, node)

Suggestions:

  1. Add complexity comments in the solution file:
/**
 * Binary Tree Level Order Traversal using DFS
 * Time: O(n) - visit each node once
 * Space: O(h + n) - h for call stack, n for output
 * 
 * @param root - root node of binary tree
 * @returns array of arrays, each representing a tree level
 */
export function binaryTreeLevelOrderTraversal(root: TreeNode | null): number[][] {
  1. Minor style consideration: The traverseLevel function could be extracted as a named helper or kept inline - current choice is fine for readability.

5. Alternative Approaches 💡

Approach 1: BFS with Queue (More Common)

export function binaryTreeLevelOrderTraversalBFS(root: TreeNode | null): number[][] {
  if (!root) return [];
  
  const result: number[][] = [];
  const queue: TreeNode[] = [root];
  
  while (queue.length > 0) {
    const levelSize = queue.length;
    const currentLevel: number[] = [];
    
    for (let i = 0; i < levelSize; i++) {
      const node = queue.shift()!;
      currentLevel.push(node.val);
      
      if (node.left) queue.push(node.left);
      if (node.right) queue.push(node.right);
    }
    
    result.push(currentLevel);
  }
  
  return result;
}

Trade-offs:

  • DFS (current solution):

    • ✅ More memory-efficient for wide trees (O(h) call stack vs O(w) queue)
    • ✅ Simpler code (no queue management)
    • ⚠️ Call stack risk for very deep trees (>10k depth)
  • BFS (alternative):

    • ✅ More intuitive for "level-order" semantics
    • ✅ No recursion (no stack overflow risk)
    • ⚠️ More memory for wide trees (queue size = max width)
    • ⚠️ Slightly more complex code

Approach 2: BFS with Null Markers
You could use null markers in the queue to separate levels, but the level-size approach above is cleaner.


6. Related Problems for Practice 🔗

To build pattern recognition, try these similar problems:

  1. LeetCode 102: Binary Tree Level Order Traversal - The original problem this is based on
  2. LeetCode 107: Binary Tree Level Order Traversal II - Same as this, but return levels bottom-up (great practice for array manipulation)
  3. LeetCode 103: Binary Tree Zigzag Level Order Traversal - Alternate left-to-right and right-to-left between levels
  4. LeetCode 199: Binary Tree Right Side View - Return the rightmost node at each level (apply the same pattern!)
  5. LeetCode 637: Average of Levels in Binary Tree - Compute average instead of collecting all values

Pattern Family: Tree Level Traversal / BFS Problems


Learning Summary 📚

What Makes This Solution Interesting:
This problem demonstrates that level-order traversal doesn't require BFS. The DFS approach with level tracking is less intuitive but equally valid and can be more memory-efficient.

Key Takeaways:

  1. DFS can solve "level" problems by tracking depth as a parameter
  2. Array length as a sentinel - using levels.length === level to detect new levels is a clever technique
  3. Space complexity trade-offs - DFS (call stack) vs BFS (queue) depends on tree shape
  4. Pre-order traversal ensures left-to-right ordering within each level

When to Use This Pattern:

  • Any tree problem requiring level-by-level grouping
  • When you need to process all nodes at the same depth together
  • As an alternative to BFS when tree is very wide but not too deep

Great work on implementing this with DFS! The solution is correct, efficient, and well-tested. The only enhancement would be adding complexity analysis comments to the code itself for future reference.


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github-actions bot commented Jan 16, 2026

✅ Test Results

Tests have been executed for this pull request.

📊 Coverage Summary

Metric Coverage
Statements 94.61%
Branches 89.26%
Functions 85.71%
Lines 94.68%

Check the workflow logs for detailed test output.

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🧮 Solution Analysis

PR: Blind 75: Binary Tree Level Order Traversal
Files Changed: greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts

📊 Code Quality Results

ESLint Analysis

  • Errors: 0
  • Warnings: 1

Issues by file:

  • /home/runner/work/coding-challenges/coding-challenges/greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts: 0 errors, 1 warnings

🔍 Complexity Analysis

binary-tree-level-order-traversal

📋 Analysis Results:

🔍 Automated Complexity Analysis

⚠️ Disclaimer: This is an automated analysis that may not be 100% accurate.
Always verify the complexity analysis manually, especially for complex algorithms.
Dynamic Programming, recursive, and mathematical algorithms may need manual review.

File: greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
Generated: 2026-01-16T13:57:08.779Z

Time Complexity

Estimated: O(1)
Description: Constant time - single operations
Confidence: 52.7%

⚠️ Low Confidence: Please manually verify this analysis.
💡 Tip: Add // @complexity: O(n) time, O(1) space to override automated detection.

Space Complexity

Estimated: O(1)
Reason: Constant extra space

Data Structures Used

  • Array: []
    • access: O(1)
    • search: O(n)
    • insertion: O(1) amortized
    • deletion: O(n)
  • Stack/Queue: .push(
    • push/pop: O(1)
    • shift/unshift: O(n) for arrays

Code Metrics

  • Lines of Code: 26
  • Cyclomatic Complexity: 7
  • Max Nesting Level: 3

Recommendations

  • VERIFICATION: ⚠️ Manual Review Needed: Low confidence score suggests manual verification is required

binary-tree-level-order-traversal.test

📋 Analysis Results:

🔍 Automated Complexity Analysis

⚠️ Disclaimer: This is an automated analysis that may not be 100% accurate.
Always verify the complexity analysis manually, especially for complex algorithms.
Dynamic Programming, recursive, and mathematical algorithms may need manual review.

File: greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
Generated: 2026-01-16T13:57:08.743Z

Time Complexity

Estimated: O(1)
Description: Constant time - single operations
Confidence: 51.1%

⚠️ Low Confidence: Please manually verify this analysis.
💡 Tip: Add // @complexity: O(n) time, O(1) space to override automated detection.

Space Complexity

Estimated: O(n²)
Reason: Nested data structures

Data Structures Used

  • Array: []
    • access: O(1)
    • search: O(n)
    • insertion: O(1) amortized
    • deletion: O(n)

Code Metrics

  • Lines of Code: 86
  • Cyclomatic Complexity: 2
  • Max Nesting Level: 5

Recommendations

  • VERIFICATION: ⚠️ Manual Review Needed: Low confidence score suggests manual verification is required
  • READABILITY: Deep nesting detected. Consider early returns or helper functions

💡 Analysis Tips

  • Time Complexity: Focus on the dominant operation in loops
  • Space Complexity: Consider auxiliary data structures
  • Optimization: Look for opportunities to improve efficiency
  • Edge Cases: Ensure your solution handles empty inputs, null/undefined, edge conditions

📁 Analysis Files Created

Detailed analysis files have been automatically generated and committed to docs/analysis/ for future reference.

🎯 Next Steps

  1. Review any ESLint errors/warnings above
  2. Consider the complexity analysis - is this the optimal approach?
  3. Test with edge cases mentioned in the problem description
  4. Add comments explaining complex logic
  5. Check the docs/analysis/ directory for detailed complexity analysis files

Analysis generated for PR files only

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🧮 Solution Analysis

PR: Blind 75: Binary Tree Level Order Traversal
Files Changed: greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts

📊 Code Quality Results

ESLint Analysis

  • Errors: 0
  • Warnings: 0

🔍 Complexity Analysis

binary-tree-level-order-traversal

📋 Analysis Results:

🔍 Automated Complexity Analysis

⚠️ Disclaimer: This is an automated analysis that may not be 100% accurate.
Always verify the complexity analysis manually, especially for complex algorithms.
Dynamic Programming, recursive, and mathematical algorithms may need manual review.

File: greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
Generated: 2026-01-16T13:39:55.085Z

Time Complexity

Estimated: O(1)
Description: Constant time - single operations
Confidence: 53.2%

⚠️ Low Confidence: Please manually verify this analysis.
💡 Tip: Add // @complexity: O(n) time, O(1) space to override automated detection.

Space Complexity

Estimated: O(1)
Reason: Constant extra space

Data Structures Used

  • Array: []
    • access: O(1)
    • search: O(n)
    • insertion: O(1) amortized
    • deletion: O(n)
  • Stack/Queue: .push(
    • push/pop: O(1)
    • shift/unshift: O(n) for arrays

Code Metrics

  • Lines of Code: 26
  • Cyclomatic Complexity: 5
  • Max Nesting Level: 3

Recommendations

  • VERIFICATION: ⚠️ Manual Review Needed: Low confidence score suggests manual verification is required

binary-tree-level-order-traversal.test

📋 Analysis Results:

🔍 Automated Complexity Analysis

⚠️ Disclaimer: This is an automated analysis that may not be 100% accurate.
Always verify the complexity analysis manually, especially for complex algorithms.
Dynamic Programming, recursive, and mathematical algorithms may need manual review.

File: greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
Generated: 2026-01-16T13:39:55.048Z

Time Complexity

Estimated: O(1)
Description: Constant time - single operations
Confidence: 52.3%

⚠️ Low Confidence: Please manually verify this analysis.
💡 Tip: Add // @complexity: O(n) time, O(1) space to override automated detection.

Space Complexity

Estimated: O(n²)
Reason: Nested data structures

Data Structures Used

  • Array: []
    • access: O(1)
    • search: O(n)
    • insertion: O(1) amortized
    • deletion: O(n)

Code Metrics

  • Lines of Code: 38
  • Cyclomatic Complexity: 2
  • Max Nesting Level: 5

Recommendations

  • VERIFICATION: ⚠️ Manual Review Needed: Low confidence score suggests manual verification is required
  • READABILITY: Deep nesting detected. Consider early returns or helper functions

💡 Analysis Tips

  • Time Complexity: Focus on the dominant operation in loops
  • Space Complexity: Consider auxiliary data structures
  • Optimization: Look for opportunities to improve efficiency
  • Edge Cases: Ensure your solution handles empty inputs, null/undefined, edge conditions

📁 Analysis Files Created

Detailed analysis files have been automatically generated and committed to docs/analysis/ for future reference.

🎯 Next Steps

  1. Review any ESLint errors/warnings above
  2. Consider the complexity analysis - is this the optimal approach?
  3. Test with edge cases mentioned in the problem description
  4. Add comments explaining complex logic
  5. Check the docs/analysis/ directory for detailed complexity analysis files

Analysis generated for PR files only

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🤖 Gemini Code Review (Model: gemini-2.5-flash)

Here's a review of the provided solution for "Binary Tree Level Order Traversal":


1. Pattern Identification

This solution uses a Depth-First Search (DFS) pattern. Specifically, it's a recursive DFS that tracks the current level (depth) of the node being visited. While the output is level-order, the traversal mechanism is DFS, processing nodes down a path before backtracking. This is a clever way to achieve level-order output using a DFS structure.

The more conventional approach for level-order traversal is Breadth-First Search (BFS) using a queue.

2. Complexity Verification

  • Time Complexity: O(N), where N is the number of nodes in the binary tree.

    • Verification: Each node in the tree is visited exactly once by the traverseLevel function. For each node, constant time operations (checking children, pushing to an array) are performed. Therefore, the total time is directly proportional to the number of nodes. The stated complexity is accurate.
  • Space Complexity: O(N), where N is the number of nodes.

    • Verification:
      • levels array: In the worst case (e.g., a complete binary tree), the levels array will store all N node values. This contributes O(N) space for the output.
      • Recursion stack: In the worst case (a skewed tree, resembling a linked list), the depth of the recursion can be N. This contributes O(N) space to the call stack.
      • Combining these, the total space complexity is O(N). The stated complexity is accurate.

3. Key Insight

The key insight for this particular DFS-based solution is to pass and maintain the current level (depth) of a node during the recursive traversal.

As the DFS explores the tree:

  1. It receives the current node and its level from its parent.
  2. It checks if an array for the current level already exists in the levels result array. If levels.length === level, it means this is the first time a node at this depth is encountered, so a new empty array is pushed to levels.
  3. The node.val is then pushed into the appropriate levels[level] array.
  4. It recursively calls itself for the left child with level + 1, and then for the right child with level + 1.

By doing this, even though the nodes are visited in a DFS order, their values are correctly grouped into their respective level arrays, effectively reconstructing the level-order output.

4. Edge Case Analysis

The current solution handles the following edge cases correctly:

  • Empty tree (root = null): The if (root) check at the beginning correctly prevents traverseLevel from being called, returning [].
  • Single-node tree: It correctly initializes levels = [[node.val]].
  • Skewed tree (e.g., only left children or only right children): The recursive calls and level tracking adapt correctly, resulting in the expected level-by-level output for such structures.
  • Unbalanced tree with null children: The if (node.left) and if (node.right) checks prevent null children from being processed, which is correct.

The solution appears robust for all standard tree structures and edge cases.

5. Learning Points

  • Similar problems using this same pattern (DFS with level tracking):

    • Maximum Depth of Binary Tree: Can be solved with a similar DFS approach, where the maximum level reached is the answer.
    • Binary Tree Right Side View: A modified DFS where you keep track of the first (or last, depending on traversal order) node encountered at each level.
    • Sum of Nodes at Each Level: Instead of collecting values, sum them up at each level.
    • Any problem where you need to process nodes based on their depth or collect information per level, but a DFS traversal is otherwise suitable for the problem's core logic.
  • Common mistakes people make with this pattern:

    • Index out of bounds errors: Forgetting to check if (levels.length === level) before attempting to access levels[level]. This is crucial for dynamically building the levels array.
    • Incorrect level increment: Passing level instead of level + 1 to children, or incrementing level incorrectly.
    • Not handling null nodes: Attempting to dereference null.left or null.right without proper checks.
    • Confusing traversal order with output order: While the output is level-order, understanding that the traversal itself is DFS is important for debugging and understanding performance characteristics (e.g., recursion stack depth).
  • Variations of this problem:

    • Binary Tree Zigzag Level Order Traversal: Output levels alternating between left-to-right and right-to-left.
    • Average of Levels in Binary Tree: Calculate the average of node values for each level.
    • N-ary Tree Level Order Traversal: Same concept but for trees where nodes can have an arbitrary number of children.
    • Populating Next Right Pointers in Each Node: Connect nodes at the same level using a next pointer.

6. Code Quality

The code quality is good:

  • Variable Naming: levels, node, level, and root are all descriptive and standard.
  • Code Structure: The use of a nested helper function traverseLevel is clean and encapsulates the recursive logic well. The main function handles the initial root check.
  • Readability: The logic is straightforward and easy to follow.
  • TypeScript Best Practices: The TreeNode interface is clearly defined, and type annotations are used correctly (TreeNode | null, number[][]).

Minor Improvement:
The traverseLevel function could be made a private helper or a local function within binaryTreeLevelOrderTraversal if the context were a class or a module where traverseLevel might otherwise pollute the global scope. For a standalone LeetCode solution, its current placement is perfectly acceptable.

export function binaryTreeLevelOrderTraversal(
  root: TreeNode | null
): number[][] {
  const levels: number[][] = [];

  // Define the helper function locally to encapsulate it
  function traverseLevel(node: TreeNode, level: number): void {
    if (levels.length === level) {
      levels.push([]);
    }
    levels[level].push(node.val);

    // Use a ternary operator for conciseness if preferred, or keep as is.
    // The current if-block is very clear.
    if (node.left) {
      traverseLevel(node.left, level + 1);
    }
    if (node.right) {
      traverseLevel(node.right, level + 1);
    }
  }

  if (root) {
    traverseLevel(root, 0);
  }

  return levels;
}

7. Alternative Approaches

  1. Breadth-First Search (BFS) using a Queue (Standard Approach):

    • How it works: This is the most common and intuitive approach. Initialize a queue with the root node. In a loop, process nodes level by level. In each iteration, get the current level's size, dequeue that many nodes, add their values to a temporary list for the current level, and enqueue their non-null children. Add the temporary list to the overall result.
    • Trade-offs:
      • Time Complexity: O(N).
      • Space Complexity: O(W), where W is the maximum width of the tree. In the worst case (a complete binary tree), W can be N/2, so O(N).
      • Benefit: Naturally processes nodes level by level, making the logic for grouping by level very straightforward. Often preferred for problems specifically asking for level-order processing.
      • Drawback: Requires explicit queue management.
  2. Iterative DFS (using a stack and explicit level tracking):

    • How it works: Instead of recursive calls, use a stack to simulate the DFS. Store objects/tuples like { node: TreeNode, level: number } on the stack. When popping from the stack, process the node, add its value to the correct level array, and then push its children onto the stack with an incremented level.
    • Trade-offs:
      • Time Complexity: O(N).
      • Space Complexity: O(N) for the stack and output.
      • Benefit: Avoids potential recursion depth limits in languages with small call stacks (though typically not an issue in JavaScript for LeetCode constraints).
      • Drawback: Can be slightly more complex to implement and reason about compared to recursive DFS or standard BFS.

The chosen recursive DFS approach is a perfectly valid and efficient solution, demonstrating a good understanding of how to adapt DFS for level-based output.

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🤖 Gemini Code Review (Model: gemini-2.5-flash)

Here's a detailed review of the provided solution for "Binary Tree Level Order Traversal":


1. Pattern Identification

This solution uses a Depth-First Search (DFS) pattern, specifically a pre-order traversal (root, then left child, then right child). It augments the standard DFS by passing an additional level parameter to the recursive calls, allowing it to group nodes by their depth in the tree.

2. Complexity Verification

  • Time Complexity: O(N)
    • Verification: Accurate. Each node in the binary tree is visited exactly once. For each node, a constant number of operations are performed (checking array length, pushing a value, making recursive calls). Therefore, the total time complexity is directly proportional to the number of nodes, N.
  • Space Complexity: O(N)
    • Verification: Accurate.
      • Output Array: The levels array stores all N node values, contributing O(N) space.
      • Recursion Stack: In the worst-case scenario (a highly skewed tree, resembling a linked list), the depth of the recursion stack can go up to N. In a balanced tree, it would be O(log N).
      • Combining these, the dominant factor is O(N) due to both the output storage and the potential recursion stack depth.

3. Key Insight

The key insight for solving level-order traversal using a DFS approach is to pass the current depth (or level) of the node as an argument during the recursive calls. By doing so, you can determine which sub-array in your result structure (levels in this case) a node's value should be added to. The condition if (levels.length === level) is crucial; it ensures that a new empty array is created for a given level only when that level is encountered for the very first time during the traversal. Standard DFS (left-first) naturally ensures that nodes within a level are added in left-to-right order.

4. Edge Case Analysis

The current solution handles the following edge cases correctly:

  • Empty tree (root = null): The if (root) check prevents the traverseLevel function from being called, and an empty levels array is returned.
  • Single-node tree: The root is processed at level 0, and levels becomes [[root.val]]. No children exist, so recursion stops.
  • Balanced trees: Handled correctly, as shown in the tests.
  • Unbalanced/Skewed trees (e.g., only left children or only right children): The recursive nature and level tracking correctly build the levels array. For example, a tree like 1 -> 2 -> 3 (all left children) would correctly yield [[1], [2], [3]].
  • Constraints on node values and number of nodes: The solution's logic and complexity hold within the given constraints.

No apparent edge cases are missed by the current solution.

5. Learning Points

  • Similar Problems using this pattern:
    • N-ary Tree Level Order Traversal: The same DFS approach with a level parameter can be adapted for N-ary trees.
    • Binary Tree Right Side View / Left Side View: By using a similar DFS with level tracking, you can easily determine the first (left view) or last (right view) node encountered at each level.
    • Maximum Depth of Binary Tree: A simple DFS can be used to track the maximum level reached.
    • Sum of nodes at each level: Instead of storing values, you could sum them up at each level.
  • Common Mistakes:
    • Incorrectly handling the level parameter: Forgetting to increment it for children or using a global/closure variable that isn't properly reset for different branches can lead to errors.
    • Forgetting to initialize new levels: Not having a mechanism (like if (levels.length === level)) to create new sub-arrays for new levels can cause Index out of bounds errors.
    • Confusion with BFS: While DFS can solve this, many beginners find BFS more intuitive for level-order traversal as it naturally processes level by level.
  • Variations of this problem:
    • Zigzag Level Order Traversal: Alternate between left-to-right and right-to-left order for each level.
    • Reverse Level Order Traversal: Return the levels from bottom-up.
    • Connect Nodes at Same Level (Next Right Pointers): Modify the tree structure to add a next pointer to the node on the same level to its right.

6. Code Quality

The code quality is good:

  • Variable Naming: levels, node, level, val, left, right are all clear and descriptive.
  • Code Structure: The traverseLevel helper function is well-encapsulated within the main function, which is a good practice for recursive solutions that need to accumulate results.
  • Readability: The logic is straightforward and easy to follow.
  • TypeScript Usage: The TreeNode interface and type annotations (TreeNode | null, number[][]) are used correctly, improving type safety and clarity.

Minor Suggestion (more of a stylistic choice):
You could potentially define traverseLevel outside binaryTreeLevelOrderTraversal if you pass levels as an argument or make levels a mutable object within a class context, but as an inner function, it works perfectly and keeps levels naturally scoped. For a LeetCode/GreatFrontEnd context, the current structure is perfectly acceptable and common.

// Current structure (good)
export function binaryTreeLevelOrderTraversal(root: TreeNode | null): number[][] {
  const levels: number[][] = [];

  function traverseLevel(node: TreeNode, level: number): void {
    // ... logic ...
  }

  if (root) {
    traverseLevel(root, 0);
  }
  return levels;
}

7. Alternative Approaches

  1. Breadth-First Search (BFS):

    • How it works: This is arguably the most common and often preferred method for level-order traversal. It uses a queue data structure.
      1. Initialize an empty queue and add the root node to it.
      2. Initialize an empty list for the results.
      3. While the queue is not empty:
        a. Get the size of the queue (this represents the number of nodes at the current level).
        b. Initialize an empty list for the current level's values.
        c. Loop size times:
        i. Dequeue a node from the front of the queue.
        ii. Add its value to the current level's list.
        iii. Enqueue its left child (if not null) and then its right child (if not null).
        d. Add the current level's list to the overall results.
    • Trade-offs:
      • Time Complexity: O(N) – each node is visited and enqueued/dequeued once.
      • Space Complexity: O(W) where W is the maximum width of the tree (the maximum number of nodes at any single level). In the worst case (a complete binary tree), W can be N/2, making it O(N). In a highly skewed tree, W would be O(1).
      • Pros: Naturally processes nodes level by level, often making the logic more intuitive for this specific problem.
      • Cons: Requires an explicit queue data structure, which can sometimes be slightly more verbose than a recursive DFS for simpler traversals.
  2. Iterative DFS (using an explicit stack):

    • How it works: You could simulate the recursive DFS explicitly using a stack, pushing nodes along with their level information. However, reconstructing the level order from an iterative DFS might require more complex logic to ensure correct grouping and left-to-right order within levels, potentially involving pre-processing or a similar levels.length === level check that is less straightforward to manage iteratively than recursively.
    • Trade-offs: Generally not a preferred or more efficient approach for level-order traversal compared to recursive DFS or BFS, as it doesn't offer significant advantages and can be harder to implement correctly for this specific output format.

For level-order traversal, BFS is typically the go-to, but the recursive DFS solution provided is a perfectly valid and elegant alternative.

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Reviewed commit: 13ea33d1bc

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Comment on lines +17 to +21
if (node.left) {
traverseLevel(node.left, level + 1);
}
if (node.right) {
traverseLevel(node.right, level + 1);

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P2 Badge Avoid deep recursion to prevent stack overflow

This recursive DFS calls itself once per tree level; for a highly skewed tree (depth near the 10,000-node constraint), JavaScript/TypeScript runtimes typically throw RangeError: Maximum call stack size exceeded. That means valid inputs can crash rather than return a result. An iterative BFS/queue (or explicit stack) avoids call-stack limits while preserving level order.

Useful? React with 👍 / 👎.

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Pull request overview

This PR adds a Binary Tree Level Order Traversal solution to the Blind 75 collection using a depth-first search (DFS) approach with recursive level tracking.

Changes:

  • Adds new TypeScript solution for Binary Tree Level Order Traversal with comprehensive test coverage
  • Updates GreatFrontEnd problem count from 11 to 12
  • Cleans up progress tracking sections in README files

Reviewed changes

Copilot reviewed 5 out of 5 changed files in this pull request and generated 2 comments.

Show a summary per file
File Description
greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts Implements DFS-based level order traversal with helper function
greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts Adds comprehensive test cases covering edge cases and various tree structures
greatfrontend/blind-75/trees/level-order-traversal/README.md Documents problem description, examples, constraints, and interface
greatfrontend/blind-75/README.md Updates Trees section to include new problem and cleans up progress format
README.md Updates GreatFrontEnd problem count and removes outdated progress tracking

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Actionable comments posted: 5

🤖 Fix all issues with AI agents
In
`@greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts`:
- Around line 7-41: Add unit tests to binary-tree level order tests to mirror
all README examples (including cases with negative values and any edge examples)
by creating additional it(...) cases that call binaryTreeLevelOrderTraversal
with TreeNode inputs matching the README examples and asserting expected arrays;
specifically add tests for trees shown in the README (e.g., examples with
negative node values and any multi-level/unbalanced examples) so the test file
binary-tree-level-order-traversal.test.ts uses the same TreeNode shapes and
expected outputs as the README to keep documentation and implementation aligned.

In
`@greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts`:
- Around line 7-10: Add a comment above the binaryTreeLevelOrderTraversal
function documenting its Big O complexity: state the time complexity O(n) (where
n is number of nodes) and space complexity O(n) worst-case (for the queue and
output levels array), so place a concise comment block immediately before export
function binaryTreeLevelOrderTraversal(...) describing these complexities and
mentioning what n represents.
- Around line 12-22: The current recursive function traverseLevel causes deep
call stacks and should be replaced with an iterative BFS using a queue:
implement level-order by enqueuing the root TreeNode, then loop while queue not
empty, process nodes in each level by iterating current queue size, push
node.val into the corresponding subarray in levels, and enqueue
node.left/node.right as present; remove the recursive calls in traverseLevel (or
replace traverseLevel with an iterative levelOrder function that uses the queue)
to avoid stack overflow. Also add Big O documentation comment: "Time: O(n) |
Space: O(w)" (n = nodes, w = max width) near the function. Ensure you reference
the existing symbols TreeNode, levels, and traverseLevel (or refactor name to
levelOrder) when making the change.

In `@greatfrontend/blind-75/trees/level-order-traversal/README.md`:
- Around line 19-40: Update the README to reflect that root can be null and that
zero-node trees are allowed: change the parameter description to indicate root
may be null (e.g., "root: TreeNode | null") and add/update an example showing
Input: root = null -> Output: [] (or similar); also change the constraints from
"1 <= Number of nodes <= 10,000" to "0 <= Number of nodes <= 10,000" while
keeping the existing TreeNode.val range unchanged. Ensure references to
TreeNode.val remain accurate.
- Around line 1-5: Update the README header in level-order-traversal/README.md
to include a difficulty badge and a link to the GreatFrontEnd problem page:
insert a difficulty badge (e.g., "Difficulty: Medium") and add a hyperlink
labeled "GreatFrontEnd problem" pointing to the problem URL at the top of the
file beneath the title, ensuring the header remains concise and follows the
suggested header structure in the review comment.
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  • README.md
  • greatfrontend/blind-75/README.md
  • greatfrontend/blind-75/trees/level-order-traversal/README.md
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
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**/README.md

📄 CodeRabbit inference engine (CLAUDE.md)

Include problem title and difficulty badge, link to the problem on the respective platform (LeetCode, GreatFrontEnd, etc.), problem description, examples and constraints

Files:

  • README.md
  • greatfrontend/blind-75/trees/level-order-traversal/README.md
  • greatfrontend/blind-75/README.md
README.md

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Update README.md when adding new solutions

Files:

  • README.md
**/*.ts

📄 CodeRabbit inference engine (.github/copilot-instructions.md)

**/*.ts: Use explicit type annotations for function parameters and return types
Follow strict TypeScript configuration (defined in tsconfig.json)
Target ES2020 with CommonJS modules
Strict mode enabled with ES2020 target and CommonJS modules for TypeScript

**/*.ts: Use explicit type annotations for function parameters and return types in TypeScript solutions
Follow strict TypeScript configuration with ES2020 target and CommonJS modules
Avoid any type unless absolutely necessary in TypeScript solutions
Use interfaces for object types in TypeScript solutions

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*.{ts,js}

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**/*.{ts,js}: Test complex algorithms with helper functions, data structure implementations, solutions with multiple edge cases, GreatFrontEnd API implementations, and reusable utility functions
Use descriptive variable names (single letters like i, j, k are acceptable for loop iterators and standard mathematical contexts)
Don't use deprecated JavaScript features

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*-*.{ts,js,md}

📄 CodeRabbit inference engine (.github/copilot-instructions.md)

Use kebab-case for file names matching problem names

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*.{js,ts}

📄 CodeRabbit inference engine (CLAUDE.md)

**/*.{js,ts}: Verify the solution correctly solves the problem for all test cases, including edge cases: empty arrays, single elements, negative numbers, null values
Document and verify time and space complexity using Big O notation, typically in code comments or docs/analysis/ files
Use clear, descriptive variable names (not just i, j, k unless in simple loops) and add comments for non-obvious logic or algorithm steps
Use const by default, let only when reassignment is needed; avoid var except for LeetCode solution function definitions
Use strict equality (===) over loose equality (==)
Use modern ES6+ syntax (arrow functions, destructuring, spread operators) where appropriate and prefer built-in methods (.map(), .filter(), .reduce())

**/*.{js,ts}: Use const by default, let only when reassignment is needed in JavaScript/TypeScript
Use strict equality (===) over loose equality (==) in JavaScript/TypeScript
Use descriptive variable names; single letters like i, j, k acceptable only for standard loop contexts
Prefer built-in array methods (.map(), .filter(), .reduce()) in JavaScript/TypeScript
Fix ESLint errors with npm run quality:fix and ensure proper code formatting with Prettier

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/greatfrontend/**/*.{js,ts}

📄 CodeRabbit inference engine (CLAUDE.md)

**/greatfrontend/**/*.{js,ts}: Verify correct usage of browser APIs (DOM, Fetch, Storage, etc.), check for browser compatibility considerations, and validate event handling patterns with proper cleanup
Check for unnecessary re-renders or DOM manipulations, verify efficient data structure usage for UI updates, and look for debouncing/throttling where appropriate
Verify parameter validation, error handling, and consider edge cases specific to browser environments (empty inputs, invalid types)

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*.test.{ts,js}

📄 CodeRabbit inference engine (.github/copilot-instructions.md)

Use *.test.ts or *.test.js naming convention for test files

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*.test.{js,ts}

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Use Vitest for testing complex solutions, data structures, and GreatFrontEnd implementations; ensure tests handle edge cases, async operations, and cleanup logic

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*.test.ts

📄 CodeRabbit inference engine (AGENTS.md)

**/*.test.ts: Test all examples from problem description in test files
Add edge case tests: empty inputs, single elements, nulls, boundary conditions in test files
Use descriptive test names that explain what is being tested in test files
Group related tests using describe blocks in test files
Include both positive and negative test cases in test files
Add test cases for new solutions and update tests when refactoring existing solutions

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
**/*-*.test.ts

📄 CodeRabbit inference engine (AGENTS.md)

Test files should use kebab-case naming with .test.ts extension: {problem-name}.test.ts

Files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
🧠 Learnings (19)
📓 Common learnings
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/**/*.{js,ts} : Test edge cases if adding or modifying solution code
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/README.md : Include problem title and difficulty badge, link to the problem on the respective platform (LeetCode, GreatFrontEnd, etc.), problem description, examples and constraints

Applied to files:

  • README.md
📚 Learning: 2025-12-30T13:41:07.657Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: .github/copilot-instructions.md:0-0
Timestamp: 2025-12-30T13:41:07.657Z
Learning: Applies to **/*.{ts,js} : Test complex algorithms with helper functions, data structure implementations, solutions with multiple edge cases, GreatFrontEnd API implementations, and reusable utility functions

Applied to files:

  • README.md
  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/greatfrontend/**/*.{js,ts} : Verify correct usage of browser APIs (DOM, Fetch, Storage, etc.), check for browser compatibility considerations, and validate event handling patterns with proper cleanup

Applied to files:

  • README.md
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/greatfrontend/**/*.{js,ts} : Verify parameter validation, error handling, and consider edge cases specific to browser environments (empty inputs, invalid types)

Applied to files:

  • README.md
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/**/*.ts : Use TypeScript type annotations for all parameters and return types with complexity analysis in code comments

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/**/README.md : Keep README files up to date with problem counts and organization

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/README.md
  • greatfrontend/blind-75/README.md
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Add edge case tests: empty inputs, single elements, nulls, boundary conditions in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Add test cases for new solutions and update tests when refactoring existing solutions

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/*.test.{js,ts} : Use Vitest for testing complex solutions, data structures, and GreatFrontEnd implementations; ensure tests handle edge cases, async operations, and cleanup logic

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Test all examples from problem description in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Include both positive and negative test cases in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Group related tests using `describe` blocks in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/**/*.{js,ts} : Test edge cases if adding or modifying solution code

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to **/*.test.ts : Use descriptive test names that explain what is being tested in test files

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/*.{js,ts} : Verify the solution correctly solves the problem for all test cases, including edge cases: empty arrays, single elements, negative numbers, null values

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/graph/**/*.{js,ts} : Verify proper graph representation (adjacency list/matrix), visited tracking to avoid cycles, and correct DFS/BFS implementation following standard patterns

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:24.644Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: CLAUDE.md:0-0
Timestamp: 2025-12-30T13:41:24.644Z
Learning: Applies to **/union-find/**/*.{js,ts} : Confirm Union-Find correctness including proper path compression and union by rank/size optimizations

Applied to files:

  • greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts
📚 Learning: 2025-12-30T13:41:58.622Z
Learnt from: CR
Repo: pertrai1/coding-challenges PR: 0
File: AGENTS.md:0-0
Timestamp: 2025-12-30T13:41:58.622Z
Learning: Applies to leetcode/*/*/ : Ensure problems are in correct difficulty folders (easy, medium, hard) in the LeetCode directory

Applied to files:

  • greatfrontend/blind-75/README.md
🧬 Code graph analysis (1)
greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts (1)
greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts (2)
  • binaryTreeLevelOrderTraversal (7-30)
  • TreeNode (1-5)
⏰ Context from checks skipped due to timeout of 90000ms. You can increase the timeout in your CodeRabbit configuration to a maximum of 15 minutes (900000ms). (2)
  • GitHub Check: Agent
  • GitHub Check: review
🔇 Additional comments (2)
README.md (1)

10-10: GreatFrontEnd solved count update looks consistent.

Thanks for keeping the platform totals in sync.

greatfrontend/blind-75/README.md (1)

9-40: Catalog update reads cleanly with the new Trees entry.

The simplified headings and the added level-order traversal item align well.

✏️ Tip: You can disable this entire section by setting review_details to false in your review settings.

Comment on lines +12 to +22
function traverseLevel(node: TreeNode, level: number): void {
if (levels.length === level) {
levels.push([]);
}
levels[level].push(node.val);
if (node.left) {
traverseLevel(node.left, level + 1);
}
if (node.right) {
traverseLevel(node.right, level + 1);
}
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⚠️ Potential issue | 🟠 Major

🧩 Analysis chain

🏁 Script executed:

# Find test files or constraints for this specific problem
find . -path "*/level-order-traversal*" -type f | head -20

Repository: pertrai1/coding-challenges

Length of output: 317


🏁 Script executed:

# Check the actual file being reviewed
cat -n greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts

Repository: pertrai1/coding-challenges

Length of output: 872


🏁 Script executed:

# Look for similar tree problems to see how they handle recursion vs iteration
fd "binary-tree" greatfrontend/blind-75/trees/ --type f

Repository: pertrai1/coding-challenges

Length of output: 250


🏁 Script executed:

# Check if there's documentation or test constraints
find greatfrontend/blind-75/trees/level-order-traversal -type f | xargs ls -la

Repository: pertrai1/coding-challenges

Length of output: 458


🏁 Script executed:

cat -n greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.test.ts

Repository: pertrai1/coding-challenges

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cat -n greatfrontend/blind-75/trees/level-order-traversal/README.md

Repository: pertrai1/coding-challenges

Length of output: 1626


🏁 Script executed:

# Check coding guidelines for Big O documentation requirement in this context
grep -A 5 -B 5 "Big O\|complexity" CLAUDE.md | head -40

Repository: pertrai1/coding-challenges

Length of output: 1327


🏁 Script executed:

# Check if there are complexity analysis patterns in other tree solutions
fd "README\|\.ts$" greatfrontend/blind-75/trees --type f | head -10 | xargs grep -l "O(n)\|Time:\|Space:" | head -5

Repository: pertrai1/coding-challenges

Length of output: 52


🏁 Script executed:

# Check a similar tree problem to see if they document complexity
cat -n greatfrontend/blind-75/trees/*/binary-tree*.ts | grep -A 20 "function\|Time\|Space" | head -50

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Length of output: 733


🏁 Script executed:

# Check if docs/analysis directory exists and has examples
find . -path "*/docs/analysis/*" -type f | head -5

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# Check one analysis example to see format and what's expected
cat docs/analysis/add-two-numbers-analysis.md

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Length of output: 490


🏁 Script executed:

# Check if the current implementation with recursion would actually hit stack limits
# by examining what Node.js's typical call stack limit is and whether 10k recursive calls is realistic
node -e "
let count = 0;
function recurse() {
  count++;
  if (count < 15000) {
    recurse();
  }
}
try {
  recurse();
  console.log('Recursion depth reached: ' + count);
} catch (e) {
  console.log('Stack overflow at depth: ' + count);
}
"

Repository: pertrai1/coding-challenges

Length of output: 100


🏁 Script executed:

# Check if there are other tree solutions using recursion in this repo
rg "function traverseLevel|function traverse\(" greatfrontend/blind-75/trees/ -A 3 | head -30

Repository: pertrai1/coding-challenges

Length of output: 549


Use BFS instead of recursive DFS for level-order traversal.

Recursive DFS with 10,000 nodes creates ~12,500 call frames, leaving minimal stack margin (~2.5K) before overflow. More importantly, level-order traversal is a BFS problem by definition—use an iterative queue-based approach, which is both safer and the standard pattern for this algorithm.

Additionally, add Big O complexity documentation as required by the coding guidelines.

🛠️ Proposed iterative BFS fix
 export function binaryTreeLevelOrderTraversal(
   root: TreeNode | null
 ): number[][] {
   const levels: number[][] = [];
-
-  function traverseLevel(node: TreeNode, level: number): void {
-    if (levels.length === level) {
-      levels.push([]);
-    }
-    levels[level].push(node.val);
-    if (node.left) {
-      traverseLevel(node.left, level + 1);
-    }
-    if (node.right) {
-      traverseLevel(node.right, level + 1);
-    }
-  }
-
-  if (root) {
-    traverseLevel(root, 0);
-  }
-
-  return levels;
+  if (!root) {
+    return levels;
+  }
+
+  const queue: TreeNode[] = [root];
+  let index = 0;
+
+  while (index < queue.length) {
+    const levelSize = queue.length - index;
+    const currentLevel: number[] = [];
+
+    for (let i = 0; i < levelSize; i += 1) {
+      const node = queue[index];
+      index += 1;
+      currentLevel.push(node.val);
+      if (node.left) {
+        queue.push(node.left);
+      }
+      if (node.right) {
+        queue.push(node.right);
+      }
+    }
+
+    levels.push(currentLevel);
+  }
+
+  return levels;
 }

Time: O(n) | Space: O(w) where n is the number of nodes and w is the maximum width.

📝 Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
function traverseLevel(node: TreeNode, level: number): void {
if (levels.length === level) {
levels.push([]);
}
levels[level].push(node.val);
if (node.left) {
traverseLevel(node.left, level + 1);
}
if (node.right) {
traverseLevel(node.right, level + 1);
}
export function binaryTreeLevelOrderTraversal(
root: TreeNode | null
): number[][] {
const levels: number[][] = [];
if (!root) {
return levels;
}
const queue: TreeNode[] = [root];
let index = 0;
while (index < queue.length) {
const levelSize = queue.length - index;
const currentLevel: number[] = [];
for (let i = 0; i < levelSize; i += 1) {
const node = queue[index];
index += 1;
currentLevel.push(node.val);
if (node.left) {
queue.push(node.left);
}
if (node.right) {
queue.push(node.right);
}
}
levels.push(currentLevel);
}
return levels;
}
// Time: O(n) | Space: O(w) where n is the number of nodes and w is the maximum width
🤖 Prompt for AI Agents
In
`@greatfrontend/blind-75/trees/level-order-traversal/binary-tree-level-order-traversal.ts`
around lines 12 - 22, The current recursive function traverseLevel causes deep
call stacks and should be replaced with an iterative BFS using a queue:
implement level-order by enqueuing the root TreeNode, then loop while queue not
empty, process nodes in each level by iterating current queue size, push
node.val into the corresponding subarray in levels, and enqueue
node.left/node.right as present; remove the recursive calls in traverseLevel (or
replace traverseLevel with an iterative levelOrder function that uses the queue)
to avoid stack overflow. Also add Big O documentation comment: "Time: O(n) |
Space: O(w)" (n = nodes, w = max width) near the function. Ensure you reference
the existing symbols TreeNode, levels, and traverseLevel (or refactor name to
levelOrder) when making the change.

Comment on lines +19 to +40
- `root: TreeNode`: Root node of the tree. Examples display a level-order traversal of the tree

## Examples

```bash
Input: root = [13,null,-55]
Output: [[13],[-55]]
Explanation: The root has two levels: the first level with the value 13, and the second level with the value -55.

Input: root = [1,2,3,4,5,6,7]
Output: [[1],[2,3],[4,5,6,7]]
Explanation: The tree has three levels: [1] at the first level, [2, 3] at the second level, and [4, 5, 6, 7] at the third level.

Input: root = [5,3,8,null,4,7,9]
Output: [[5],[3,8],[4,7,9]]
Explanation: The tree has three levels: [5] at the first level, [3, 8] at the second level, and [4, 7, 9] at the third level.
```

## Constraints

- 1 <= Number of nodes <= 10,000
- -100 <= `TreeNode.val` <= 100
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⚠️ Potential issue | 🟡 Minor

Align docs with null-root handling and constraints.

The implementation/tests allow null, but the input section and constraints imply at least one node. Please reflect the null case and allow zero nodes in constraints.

📝 Suggested doc fix
-- `root: TreeNode`: Root node of the tree. Examples display a level-order traversal of the tree
+- `root: TreeNode | null`: Root node of the tree. Examples display a level-order traversal of the tree
@@
-- 1 <= Number of nodes <= 10,000
+- 0 <= Number of nodes <= 10,000
📝 Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
- `root: TreeNode`: Root node of the tree. Examples display a level-order traversal of the tree
## Examples
```bash
Input: root = [13,null,-55]
Output: [[13],[-55]]
Explanation: The root has two levels: the first level with the value 13, and the second level with the value -55.
Input: root = [1,2,3,4,5,6,7]
Output: [[1],[2,3],[4,5,6,7]]
Explanation: The tree has three levels: [1] at the first level, [2, 3] at the second level, and [4, 5, 6, 7] at the third level.
Input: root = [5,3,8,null,4,7,9]
Output: [[5],[3,8],[4,7,9]]
Explanation: The tree has three levels: [5] at the first level, [3, 8] at the second level, and [4, 7, 9] at the third level.
```
## Constraints
- 1 <= Number of nodes <= 10,000
- -100 <= `TreeNode.val` <= 100
- `root: TreeNode | null`: Root node of the tree. Examples display a level-order traversal of the tree
## Examples
🤖 Prompt for AI Agents
In `@greatfrontend/blind-75/trees/level-order-traversal/README.md` around lines 19
- 40, Update the README to reflect that root can be null and that zero-node
trees are allowed: change the parameter description to indicate root may be null
(e.g., "root: TreeNode | null") and add/update an example showing Input: root =
null -> Output: [] (or similar); also change the constraints from "1 <= Number
of nodes <= 10,000" to "0 <= Number of nodes <= 10,000" while keeping the
existing TreeNode.val range unchanged. Ensure references to TreeNode.val remain
accurate.

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Code Review: Binary Tree Level Order Traversal

Reviewing this PR as a coding challenge learning exercise.

Progress

  • Read solution implementation
  • Read test file
  • Read problem README
  • Analyze correctness and edge cases
  • Evaluate complexity analysis
  • Identify patterns and key insights
  • Provide comprehensive review feedback

1. Correctness ✅

The solution correctly implements level-order traversal using DFS (Depth-First Search) with level tracking rather than the more common BFS approach. Let me trace through Example 2 from the README:

Tree: [1,2,3,4,5,6,7]
      1
     / \
    2   3
   / \ / \
  4  5 6  7

DFS traversal order: 1 → 2 → 4 → 5 → 3 → 6 → 7
With level tracking: [1] → [2,3] → [4,5,6,7] ✓

Edge Cases Handled:

  • ✅ Empty tree (null root) - returns [] (binary-tree-level-order-traversal.ts:31-33)
  • ✅ Single node - works correctly
  • ✅ Unbalanced trees - tested in test file
  • ✅ Negative values - problem constraints mention -100 to 100

Test Coverage Analysis:
The test suite covers the key edge cases well. However, I'd suggest adding tests that match the README examples more closely:

// Missing: Test for the README example with negative values
it('should handle tree with negative values', () => {
  const root: TreeNode = {
    val: 13,
    left: null,
    right: { val: -55, left: null, right: null }
  };
  const result = binaryTreeLevelOrderTraversal(root);
  expect(result).toEqual([[13], [-55]]);
});

// Missing: Full three-level balanced tree from README
it('should handle full three-level tree', () => {
  const root: TreeNode = {
    val: 1,
    left: {
      val: 2,
      left: { val: 4, left: null, right: null },
      right: { val: 5, left: null, right: null }
    },
    right: {
      val: 3,
      left: { val: 6, left: null, right: null },
      right: { val: 7, left: null, right: null }
    }
  };
  const result = binaryTreeLevelOrderTraversal(root);
  expect(result).toEqual([[1], [2, 3], [4, 5, 6, 7]]);
});

2. Complexity Analysis 📊

Documented Complexity:

  • Time: O(n) - visits each node once
  • Space: O(h) for recursion stack + O(n) for output array

Analysis:
The time complexity stated is correct - each node is visited exactly once in the DFS traversal (binary-tree-level-order-traversal.ts:18-28).

However, the space complexity documentation needs a minor clarification:

More Accurate Space Complexity: O(h + n) where:

  • O(h) for the recursive call stack (worst case O(n) for skewed tree, O(log n) for balanced tree)
  • O(n) for the output array storing all node values
  • Total: O(n) in the worst case

The current comment is accurate but could be clearer that the total space complexity is O(n) worst-case.

Important Consideration:
The iterative BFS approach would have O(w) space for the queue where w is max tree width. For very wide, shallow trees, BFS could actually use more memory than this DFS approach. For deep, narrow trees, DFS uses more stack space but the overall space complexity remains O(n).


3. Learning Focus: Algorithmic Patterns 🎯

Pattern Used: DFS with Level Tracking

This is a clever twist on the typical level-order traversal pattern. Most solutions use BFS (breadth-first search) with a queue, but this uses DFS (depth-first search) with a level parameter.

Key Insight 💡

The non-obvious trick is using levels.length === level (binary-tree-level-order-traversal.ts:19) to determine if we've reached a new level for the first time. This works because:

  1. DFS visits the leftmost node at each level first (pre-order traversal)
  2. When we encounter a level for the first time, levels.length equals the current level index
  3. We initialize a new empty array for that level
  4. All subsequent nodes at that level append to the same array

Why This Approach Works:

  • DFS naturally traverses depth-first, but by tracking levels as a parameter, we can group nodes by depth
  • The recursive nature ensures we process all nodes at each level before the recursion fully unwinds
  • Pre-order traversal (parent → left → right) ensures left-to-right ordering within each level

Pattern Recognition

This pattern appears in problems requiring level-by-level grouping or processing of tree nodes. The key decision is: pass depth/level as a parameter in DFS rather than using a queue in BFS.


4. Code Quality 🔍

Strengths:

  • ✅ Excellent complexity documentation in JSDoc format (binary-tree-level-order-traversal.ts:7-12)
  • ✅ Clear, descriptive function names (traverseLevel)
  • ✅ Proper TypeScript typing with TreeNode interface
  • ✅ Concise implementation (~36 lines including types and comments)
  • ✅ Logical variable names (levels, level, node)
  • ✅ Clean separation of concerns (helper function encapsulated inside main function)

Minor Observations:

  1. The traverseLevel function is well-placed as an inner function, keeping levels naturally scoped
  2. The early return pattern for null root is clean and idiomatic
  3. The code follows modern JavaScript/TypeScript best practices (const, arrow functions where appropriate, strict null checks)

No issues found - this is high-quality, production-ready code.


5. Alternative Approaches 💡

Approach 1: BFS with Queue (More Common)

export function binaryTreeLevelOrderTraversalBFS(root: TreeNode | null): number[][] {
  if (!root) return [];
  
  const result: number[][] = [];
  const queue: TreeNode[] = [root];
  
  while (queue.length > 0) {
    const levelSize = queue.length;
    const currentLevel: number[] = [];
    
    for (let i = 0; i < levelSize; i++) {
      const node = queue.shift()!;
      currentLevel.push(node.val);
      
      if (node.left) queue.push(node.left);
      if (node.right) queue.push(node.right);
    }
    
    result.push(currentLevel);
  }
  
  return result;
}

Trade-offs:

DFS (current solution):

  • ✅ More memory-efficient for wide trees (O(h) call stack vs O(w) queue where w = max width)
  • ✅ Simpler code (no queue management)
  • ✅ Elegant use of recursion
  • ⚠️ Call stack risk for very deep trees (>10,000 depth could cause stack overflow in some environments)

BFS (alternative):

  • ✅ More intuitive for "level-order" semantics (naturally processes level by level)
  • ✅ No recursion (no stack overflow risk)
  • ✅ Better performance characteristics for extremely deep trees
  • ⚠️ More memory for wide trees (queue size = max width)
  • ⚠️ Slightly more complex code (queue management with size tracking)

Approach 2: BFS with Null Markers

You could use null markers in the queue to separate levels, but the level-size approach above is cleaner and more efficient.


6. Related Problems for Practice 🔗

To build pattern recognition with level-order traversal, try these similar problems:

  1. LeetCode 102: Binary Tree Level Order Traversal - The original problem this is based on (same problem)

  2. LeetCode 107: Binary Tree Level Order Traversal II - Return levels bottom-up instead of top-down (great practice for array manipulation)

  3. LeetCode 103: Binary Tree Zigzag Level Order Traversal - Alternate left-to-right and right-to-left between levels (same pattern with direction tracking)

  4. LeetCode 199: Binary Tree Right Side View - Return the rightmost node at each level (apply the same level-tracking pattern!)

  5. LeetCode 637: Average of Levels in Binary Tree - Compute average instead of collecting all values (same pattern, different aggregation)

  6. LeetCode 515: Find Largest Value in Each Tree Row - Find max value at each level (same pattern with max tracking)

Pattern Family: Tree Level Traversal / BFS-related Problems


Learning Summary 📚

What Makes This Solution Interesting

This problem demonstrates that level-order traversal doesn't require BFS. The DFS approach with level tracking is less intuitive but equally valid and can be more memory-efficient for certain tree shapes.

Key Takeaways

  1. DFS can solve "level" problems by tracking depth as a parameter - don't assume BFS is the only way!

  2. Array length as a sentinel - using levels.length === level to detect new levels is a clever technique worth remembering

  3. Space complexity trade-offs - DFS (call stack) vs BFS (queue) depends on tree shape:

    • Wide, shallow trees → BFS uses more memory
    • Deep, narrow trees → DFS uses more stack space
    • Both are O(n) worst case
  4. Pre-order traversal ensures left-to-right ordering within each level when combined with level tracking

When to Use This Pattern

  • Any tree problem requiring level-by-level grouping
  • When you need to process all nodes at the same depth together
  • As an alternative to BFS when the tree is very wide but not too deep
  • When you want to leverage recursion's natural elegance for tree traversal

The Core Insight

The fundamental insight is that you can achieve level-order output using depth-first traversal by maintaining a level parameter and dynamically creating level arrays on first encounter. This works because:

  • The level parameter acts as an index into the output array
  • Checking levels.length === level detects first visits to new levels
  • Pre-order DFS naturally visits nodes left-to-right at each level

Final Assessment ⭐

Overall: This is an excellent solution - correct, efficient, well-documented, and well-tested. The choice to use DFS instead of BFS demonstrates deep understanding of tree traversal patterns.

Strengths:

  • ✅ Correct implementation with proper edge case handling
  • ✅ Accurate complexity analysis with detailed documentation
  • ✅ Clean, readable code following best practices
  • ✅ Good test coverage
  • ✅ Creative use of DFS for a problem typically solved with BFS

Minor Suggestions:

  1. Add test cases that directly match the README examples (especially the negative value case)
  2. Consider adding a comment explaining the levels.length === level trick for educational purposes

Great work on implementing this elegant DFS solution! 🎉


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🤖 Gemini Code Review (Model: gemini-2.5-flash)

Here's a detailed review of your binaryTreeLevelOrderTraversal solution:


1. Pattern Identification

This solution uses a Depth-First Search (DFS) pattern. Specifically, it's a recursive pre-order traversal where you process the current node, then recursively call for its left child, then its right child. The key to achieving "level order" with DFS here is the level parameter passed during recursion, which allows grouping nodes by their depth.

While level order traversal is most commonly implemented using Breadth-First Search (BFS) with a queue, this DFS approach is a valid and sometimes elegant alternative, especially when the output structure naturally aligns with collecting results based on depth.

2. Complexity Verification

  • Stated Time Complexity: O(n) where n is the number of nodes (visits each node once)

    • Verification: This is accurate. Every node in the tree is visited exactly once by the traverseLevel function. Operations inside the function (like checking levels.length, push to levels, push to levels[level]) are all constant time on average, leading to a total time proportional to the number of nodes.
  • Stated Space Complexity: O(h) for the recursion stack where h is the tree height, plus O(n) for the output array

    • Verification: This is accurate.
      • Recursion Stack: The maximum depth of the recursion stack is equal to the height h of the tree. In the worst case (a completely skewed tree, e.g., a linked list), h can be n. In the best case (a balanced tree), h is log n. So, O(h) correctly represents the stack space.
      • Output Array: The levels array eventually stores all n node values. This requires O(n) space.
      • Total: The dominant factor is O(n) for the output array, as h can be at most n. So the overall space complexity is O(n).

3. Key Insight

The key insight for this DFS-based level order traversal is:

"Maintain a collection of lists (or arrays) where each index corresponds to a tree level. During a standard DFS traversal, pass the current node's depth (level) as an argument. When visiting a node, ensure an array exists for its corresponding level in the collection, and then append the node's value to that level's array."

The "aha!" moment is realizing that by simply tracking the level during DFS, you can build the level-order structure without needing an explicit queue. The first time you encounter a node at a new level, you initialize an empty array for that level in your levels array. Subsequent nodes at the same level will then append to that existing array, and because DFS explores left children before right children, the values within each level are naturally collected in left-to-right order.

4. Edge Case Analysis

The solution appears robust and handles the following edge cases correctly:

  • Empty tree (root = null): The initial if (root) check correctly returns an empty levels array []. (Tested by should return empty array for an empty tree).
  • Single node tree: The traverseLevel function is called once for the root, levels becomes [[root.val]]. (Tested by should handle a single-node tree).
  • Balanced tree: Handled correctly. (Tested by should handle a balanced tree).
  • Unbalanced/Skewed tree: For instance, a tree with only left children or only right children. The DFS will correctly traverse and assign nodes to their respective levels. The recursion depth will be N in this scenario, but the logic remains sound. (Tested by should handle an unbalanced tree).
  • Constraints:
    • 1 <= Number of nodes <= 10,000: O(N) time and space are well within typical limits for this constraint.
    • -100 <= TreeNode.val <= 100: Node values are simple numbers and don't introduce special handling requirements.

5. Learning Points

  • Similar problems using this same pattern (DFS with level tracking):

    • This specific DFS approach is a general technique for problems that require processing or collecting data based on the depth or level of nodes in a tree.
    • N-ary Tree Level Order Traversal: Can be adapted for N-ary trees by iterating through node.children.
    • Binary Tree Right Side View / Left Side View: You could modify this approach to store only the first (left side) or last (right side) element seen at each level.
    • Find Largest Value in Each Tree Row: Instead of pushing all values, you'd update a maximum value for each level.
    • Average of Levels in Binary Tree: Collect all values per level, then calculate their average.
  • Common mistakes people make with this pattern:

    • Forgetting to initialize the level array: A common oversight is not checking if (levels.length === level) before trying to push to levels[level]. This would lead to undefined errors if a level hasn't been encountered yet.
    • Incorrect level increment: Passing level instead of level + 1 to child calls.
    • Not handling null nodes: Forgetting the base case for recursion or checking node.left and node.right before recursing.
    • Order of operations for variations: For problems like "right side view," ensuring you process children in the correct order (e.g., right then left) or update the level's value correctly is crucial.
  • Variations of this problem:

    • Binary Tree Zigzag Level Order Traversal: The output arrays alternate between left-to-right and right-to-left order. This would require conditional logic to unshift or push elements based on the level's parity.
    • N-ary Tree Level Order Traversal: Same problem but for trees where nodes can have more than two children. The core logic remains similar, iterating through an array of children.
    • Level Order Traversal II (Bottom-up): Return the levels in reverse order (bottom-most level first). This can be achieved by simply reversing the levels array at the end.

6. Code Quality

  • Variable Naming: levels, node, level, root, val, left, right are all clear, standard, and descriptive.
  • Code Structure: The use of an inner helper function traverseLevel is excellent. It encapsulates the recursive logic cleanly and keeps the main function focused on initialization and return.
  • Readability: The code is very readable, concise, and well-structured. Type annotations (TreeNode | null, number[][]) significantly enhance clarity.
  • Comments: The JSDoc-style comments for @time and @space complexity are accurate and helpful.
  • TypeScript Best Practices: Adheres to modern TypeScript practices by using const for levels and type interfaces.

Minor Improvement Suggestion:

  • For extremely deep trees (rare in LeetCode but possible in real-world scenarios or specific test cases), recursive DFS can hit JavaScript's maximum recursion depth. While unlikely for N=10,000 (typically >100,000), it's a theoretical consideration. For robustness, an iterative BFS solution is generally preferred to avoid this.

7. Alternative Approaches

  1. Breadth-First Search (BFS) using a Queue (Most Common):

    • How it works: Initialize a queue with the root node. In a loop, process all nodes currently in the queue (representing one level). For each node, dequeue it, add its value to a temporary list for the current level, and enqueue its left and right children. After processing all nodes at the current level, add the temporary list to the overall result and continue.
    • Trade-offs:
      • Time Complexity: O(N) – each node is enqueued and dequeued once.
      • Space Complexity: O(W) where W is the maximum width of the tree (number of nodes at the widest level). In the worst case (a complete binary tree), W can be O(N), so overall O(N).
      • Pros: Often considered more intuitive and natural for level-order traversal. Avoids recursion depth limits.
      • Cons: Requires explicit queue management.
    // Example BFS approach
    export function binaryTreeLevelOrderTraversalBFS(
      root: TreeNode | null
    ): number[][] {
      const levels: number[][] = [];
      if (!root) {
        return levels;
      }
    
      const queue: TreeNode[] = [root];
    
      while (queue.length > 0) {
        const levelSize = queue.length; // Number of nodes at current level
        const currentLevelNodes: number[] = [];
    
        for (let i = 0; i < levelSize; i++) {
          const node = queue.shift()!; // Dequeue
          currentLevelNodes.push(node.val);
    
          if (node.left) {
            queue.push(node.left);
          }
          if (node.right) {
            queue.push(node.right);
          }
        }
        levels.push(currentLevelNodes);
      }
      return levels;
    }
  2. Iterative DFS (using an explicit stack):

    • How it works: You would manage a stack explicitly (e.g., an array) storing pairs of [node, level]. When popping from the stack, you process the node and then push its children along with their incremented level onto the stack. The logic for adding to levels[level] would be similar to your recursive solution. The order of pushing children onto the stack determines the traversal order (e.g., push right then left for pre-order, so left is processed first).
    • Trade-offs:
      • Time Complexity: O(N).
      • Space Complexity: O(H) for the stack, where H is the height of the tree, plus O(N) for the result.
      • Pros: Avoids recursion limit issues.
      • Cons: Can be more complex to implement than recursive DFS or BFS, as you explicitly manage the stack and level tracking.

Overall, this is a very well-implemented and correct solution using a less common but valid DFS approach for level-order traversal. The code quality, complexity analysis, and edge case handling are all excellent. Good job!

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Claude finished @pertrai1's task in 3m 5s —— View job


Code Review: Binary Tree Level Order Traversal

Reviewing this PR as a coding challenge learning exercise.

Progress

  • Read solution implementation
  • Read test file
  • Read problem README
  • Analyze correctness and edge cases
  • Evaluate complexity analysis
  • Identify patterns and key insights
  • Provide comprehensive review feedback

1. Correctness ✅

The solution correctly implements level-order traversal using DFS (Depth-First Search) with level tracking rather than the more common BFS approach. Let me trace through Example 2 from the README:

Tree: [1,2,3,4,5,6,7]
      1
     / \
    2   3
   / \ / \
  4  5 6  7

DFS traversal order: 1 → 2 → 4 → 5 → 3 → 6 → 7
With level tracking: [1] → [2,3] → [4,5,6,7] ✓

Edge Cases Handled:

  • ✅ Empty tree (null root) - returns [] (binary-tree-level-order-traversal.ts:31-33)
  • ✅ Single node - works correctly
  • ✅ Unbalanced trees - tested in test file
  • ✅ Negative values - problem constraints mention -100 to 100

Test Coverage Analysis:
The test suite covers the key edge cases exceptionally well! I notice the tests now match all the README examples (lines 43-92), which is excellent practice. The test suite includes:

  • Empty tree
  • Single node
  • Balanced tree
  • Unbalanced tree
  • Negative values (matching README example)
  • Full three-level tree (matching README example)
  • Tree with missing children (matching README example)

This is thorough and well-done! ✨


2. Complexity Analysis 📊

Documented Complexity:

@time - O(n) where n is the number of nodes (visits each node once)
@space - O(h) for the recursion stack where h is the tree height, plus O(n) for the output array

Analysis:
The complexity documentation is accurate and well-explained. Let me elaborate:

Time Complexity: O(n)

  • Each node is visited exactly once in the DFS traversal
  • Array operations (push) are O(1) amortized
  • Correctly documented!

Space Complexity: O(h + n)

  • O(h) for the recursive call stack (worst case O(n) for skewed tree, O(log n) for balanced tree)
  • O(n) for the output array storing all node values
  • Total: O(n) in the worst case
  • The documentation clearly explains both components!

Note on Alternative Approaches:
The iterative BFS approach would have O(w) space for the queue where w is max tree width. For very wide, shallow trees, BFS could actually use more memory than this DFS approach. For deep, narrow trees, DFS uses more stack space but the overall space complexity remains O(n).


3. Learning Focus: Algorithmic Patterns 🎯

Pattern Used: DFS with Level Tracking

This is a clever twist on the typical level-order traversal pattern. Most solutions use BFS (breadth-first search) with a queue, but this uses DFS (depth-first search) with a level parameter.

Key Insight 💡

The non-obvious trick is using levels.length === level (binary-tree-level-order-traversal.ts:19) to determine if we've reached a new level for the first time. This works because:

  1. DFS visits the leftmost node at each level first (pre-order traversal)
  2. When we encounter a level for the first time, levels.length equals the current level index
  3. We initialize a new empty array for that level
  4. All subsequent nodes at that level append to the same array

Why This Approach Works:

  • DFS naturally traverses depth-first, but by tracking levels as a parameter, we can group nodes by depth
  • The recursive nature ensures we process all nodes at each level before the recursion fully unwinds
  • Pre-order traversal (parent → left → right) ensures left-to-right ordering within each level

Pattern Recognition

This pattern appears in problems requiring level-by-level grouping or processing of tree nodes. The key decision is: pass depth/level as a parameter in DFS rather than using a queue in BFS.


4. Code Quality 🔍

Strengths:

  • Excellent complexity documentation in JSDoc format (binary-tree-level-order-traversal.ts:7-12)
  • ✅ Clear, descriptive function names (traverseLevel)
  • ✅ Proper TypeScript typing with TreeNode interface
  • ✅ Concise implementation (~36 lines including types and comments)
  • ✅ Logical variable names (levels, level, node)
  • ✅ Clean separation of concerns (helper function encapsulated inside main function)
  • ✅ Early return pattern for null root is clean and idiomatic

Code Style:
The code follows modern JavaScript/TypeScript best practices:

  • Uses const for immutable references
  • Proper null checks before recursion
  • Clean function composition
  • No unnecessary complexity

No issues found - this is high-quality, production-ready code! 🎉


5. Alternative Approaches 💡

Approach 1: BFS with Queue (More Common)

export function binaryTreeLevelOrderTraversalBFS(root: TreeNode | null): number[][] {
  if (!root) return [];
  
  const result: number[][] = [];
  const queue: TreeNode[] = [root];
  
  while (queue.length > 0) {
    const levelSize = queue.length;
    const currentLevel: number[] = [];
    
    for (let i = 0; i < levelSize; i++) {
      const node = queue.shift()!;
      currentLevel.push(node.val);
      
      if (node.left) queue.push(node.left);
      if (node.right) queue.push(node.right);
    }
    
    result.push(currentLevel);
  }
  
  return result;
}

Trade-offs:

DFS (current solution):

  • ✅ More memory-efficient for wide trees (O(h) call stack vs O(w) queue where w = max width)
  • ✅ Simpler code (no queue management)
  • ✅ Elegant use of recursion
  • ⚠️ Call stack risk for very deep trees (>10,000 depth could cause stack overflow in some environments)

BFS (alternative):

  • ✅ More intuitive for "level-order" semantics (naturally processes level by level)
  • ✅ No recursion (no stack overflow risk)
  • ✅ Better performance characteristics for extremely deep trees
  • ⚠️ More memory for wide trees (queue size = max width)
  • ⚠️ Slightly more complex code (queue management with size tracking)

Approach 2: BFS with Null Markers

You could use null markers in the queue to separate levels, but the level-size approach above is cleaner and more efficient.


6. Related Problems for Practice 🔗

To build pattern recognition with level-order traversal, try these similar problems:

  1. LeetCode 102: Binary Tree Level Order Traversal - The original problem this is based on (same problem)

  2. LeetCode 107: Binary Tree Level Order Traversal II - Return levels bottom-up instead of top-down (great practice for array manipulation)

  3. LeetCode 103: Binary Tree Zigzag Level Order Traversal - Alternate left-to-right and right-to-left between levels (same pattern with direction tracking)

  4. LeetCode 199: Binary Tree Right Side View - Return the rightmost node at each level (apply the same level-tracking pattern!)

  5. LeetCode 637: Average of Levels in Binary Tree - Compute average instead of collecting all values (same pattern, different aggregation)

  6. LeetCode 515: Find Largest Value in Each Tree Row - Find max value at each level (same pattern with max tracking)

Pattern Family: Tree Level Traversal / BFS-related Problems


Learning Summary 📚

What Makes This Solution Interesting

This problem demonstrates that level-order traversal doesn't require BFS. The DFS approach with level tracking is less intuitive but equally valid and can be more memory-efficient for certain tree shapes.

Key Takeaways

  1. DFS can solve "level" problems by tracking depth as a parameter - don't assume BFS is the only way!

  2. Array length as a sentinel - using levels.length === level to detect new levels is a clever technique worth remembering

  3. Space complexity trade-offs - DFS (call stack) vs BFS (queue) depends on tree shape:

    • Wide, shallow trees → BFS uses more memory
    • Deep, narrow trees → DFS uses more stack space
    • Both are O(n) worst case
  4. Pre-order traversal ensures left-to-right ordering within each level when combined with level tracking

When to Use This Pattern

  • Any tree problem requiring level-by-level grouping
  • When you need to process all nodes at the same depth together
  • As an alternative to BFS when the tree is very wide but not too deep
  • When you want to leverage recursion's natural elegance for tree traversal

The Core Insight

The fundamental insight is that you can achieve level-order output using depth-first traversal by maintaining a level parameter and dynamically creating level arrays on first encounter. This works because:

  • The level parameter acts as an index into the output array
  • Checking levels.length === level detects first visits to new levels
  • Pre-order DFS naturally visits nodes left-to-right at each level

Final Assessment ⭐

Overall: This is an excellent solution - correct, efficient, well-documented, and well-tested. The choice to use DFS instead of BFS demonstrates deep understanding of tree traversal patterns, and the comprehensive test coverage (including all README examples) shows attention to detail.

Strengths:

  • ✅ Correct implementation with proper edge case handling
  • ✅ Accurate and detailed complexity analysis with clear documentation
  • ✅ Clean, readable code following best practices
  • ✅ Comprehensive test coverage matching all README examples
  • ✅ Creative use of DFS for a problem typically solved with BFS

What I Love:

  • The JSDoc complexity documentation is clear and educational
  • All README examples are tested (excellent documentation-test alignment!)
  • The code is concise yet readable
  • The solution demonstrates algorithmic creativity

Great work on implementing this elegant DFS solution! 🎉


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🤖 Gemini Code Review (Model: gemini-2.5-flash)

Here's a review of the binaryTreeLevelOrderTraversal solution:


1. Pattern Identification

This solution uses a Depth-First Search (DFS) pattern. Specifically, it employs a recursive pre-order traversal (root, left, right) combined with a level parameter to group nodes by their depth. While level-order traversal is most commonly associated with Breadth-First Search (BFS), it can also be achieved with DFS by carefully managing the level information.

2. Complexity Verification

  • Time Complexity: O(N)
    • Verification: The stated time complexity is accurate. Each node in the tree is visited exactly once by the traverseLevel function. For each node, we perform constant time operations (pushing to an array, checking children). Therefore, the total time complexity is linear with respect to the number of nodes N.
  • Space Complexity: O(H + N)
    • Verification: The stated space complexity is mostly accurate, but it's important to clarify the O(H) part.
      • O(H): This is for the recursion stack. In the worst-case scenario (a skewed tree, essentially a linked list), the height H can be N. In a balanced tree, H would be log N. So, the recursion stack space is O(H), which can be up to O(N).
      • O(N): This is for storing the levels result array. In the worst case, all nodes are distinct and stored in this array.
    • Combining these, the total space complexity is O(H + N). Since H can be N, the dominant term is N, so it can be simplified to O(N). The current comment O(h) for the recursion stack where h is the tree height, plus O(n) for the output array is very precise and correct.

3. Key Insight

The key insight for solving level-order traversal using DFS is to pass the current level (depth) as a parameter during recursion and use this level to determine which sub-array in the levels result to add the node's value to.

  1. Initialize an empty levels array.
  2. When visiting a node at level k:
    • Check if levels[k] exists. If not, it means this is the first node encountered at this depth, so create a new empty array at levels[k].
    • Add the current node's value to levels[k].
    • Recursively call traverseLevel for node.left with level + 1.
    • Recursively call traverseLevel for node.right with level + 1.

This way, all nodes at the same level are collected into the same inner array in the levels result.

4. Edge Case Analysis

The solution handles the following edge cases correctly:

  • Empty tree (root = null): The if (root) check prevents the traverseLevel function from being called, and an empty [] is returned, which is correct.
  • Single-node tree: The root is processed at level 0, levels[0] is created, and root.val is pushed. The left and right checks fail, and [[root.val]] is returned. Correct.
  • Skewed trees (left-only or right-only): The recursive calls correctly navigate down the single path, and null children are skipped, producing the correct level-by-level output.
  • Trees with negative values: The val is simply stored, so negative values are handled correctly.
  • Trees with null children at intermediate levels: The if (node.left) and if (node.right) checks prevent null from being passed to traverseLevel, ensuring correctness.

All common edge cases seem to be covered.

5. Learning Points

  • Similar problems using this pattern:
    • Maximum Depth of Binary Tree: Can also be solved with a similar DFS approach, tracking the maximum level reached.
    • N-ary Tree Level Order Traversal: The same DFS approach can be extended to N-ary trees by iterating through node.children.
    • Binary Tree Zigzag Level Order Traversal: A variation where you alternate the order of elements at each level (left-to-right, then right-to-left). This can be done by conditionally reversing the inner array based on the level, or by using a deque (double-ended queue) in BFS.
    • Average of Levels in Binary Tree: Instead of collecting all values, you'd collect the sum and count for each level.
  • Common mistakes with this pattern (DFS for Level Order):
    • Incorrect level tracking: Forgetting to increment the level parameter, or using a global/closure variable for level that gets reset incorrectly.
    • Not initializing levels[level]: Forgetting to check if levels[level] exists before pushing to it, leading to undefined errors.
    • Off-by-one errors with levels: Starting level at 1 instead of 0, or vice-versa, depending on problem constraints.
  • Variations of this problem:
    • Bottom-up level order traversal: Return the levels in reverse order (last level first). Can be achieved by simply reversing the levels array at the end.
    • Connect Nodes at Same Level (Right Pointers): A more advanced variation where you need to modify the tree structure to add a next pointer to nodes at the same level.

6. Code Quality

  • Variable Naming: root, levels, node, level are all clear, descriptive, and follow common conventions. traverseLevel is also a good name for the recursive helper.
  • Code Structure: The use of an inner helper function traverseLevel for recursion is a clean and common pattern in JavaScript/TypeScript, keeping the main function concise.
  • Readability: The code is very readable. The if (levels.length === level) check clearly indicates when a new level array needs to be initialized.
  • TypeScript Best Practices:
    • The TreeNode interface is well-defined.
    • Type annotations (TreeNode | null, number[][], number) are used consistently, improving type safety and readability.
    • const is used for levels and the function, which is good.

One minor point: the TreeNode interface is defined within the binary-tree-level-order-traversal.ts file. In a real LeetCode environment, TreeNode is usually provided globally or imported. For a self-contained solution, this is perfectly fine.

7. Alternative Approaches

  1. Iterative Breadth-First Search (BFS) using a Queue (Most Common):

    • Approach: Initialize a queue and add the root node. While the queue is not empty, process nodes level by level. In each iteration, dequeue all nodes currently in the queue (these are all nodes at the current level), add their values to a temporary list, and enqueue their non-null children. Add the temporary list to the overall result.
    • Trade-offs:
      • Pros: Generally considered more intuitive for level-order traversal as it naturally processes level by level. Avoids recursion stack depth issues (though this problem's constraints N <= 10,000 mean stack overflow is unlikely for DFS).
      • Cons: Requires explicit queue management, which can sometimes be slightly more verbose than a recursive DFS.
    • Complexity: O(N) time, O(W) space (where W is the maximum width of the tree, which can be O(N) in the worst case for a complete binary tree, storing nodes in the queue).
  2. Iterative Depth-First Search (DFS) using a Stack:

    • Approach: Less common for level-order traversal, but possible. You'd store tuples of [node, level] in a stack. When popping, process the node and then push its children with level + 1. The challenge is that a stack processes depth-first, so you'd need to sort or group the results by level after the traversal, or use a more complex structure to ensure level-order collection.
    • Trade-offs:
      • Pros: Avoids recursion stack limit.
      • Cons: More complex to implement correctly for level-order output compared to recursive DFS or iterative BFS, often leading to less efficient grouping/sorting post-processing.

The current DFS recursive solution is a perfectly valid and elegant way to solve this problem, especially for those comfortable with recursion.

@pertrai1 pertrai1 merged commit 919725d into main Jan 17, 2026
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@pertrai1 pertrai1 deleted the blind-1162025 branch January 17, 2026 18:32
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