Repository navigation
Implementation of Heavy Light Decomposition and Enhanced Heavy Path Decomposition Algorithms - #1719
Conversation
|
👋 Thank you for opening this pull request! We're excited to review your contribution. Please give us a moment, and we'll get back to you shortly! Feel free to join our community on Discord to discuss more! |
|
Warning Rate limit exceeded@SK8-infi has exceeded the limit for the number of commits or files that can be reviewed per hour. Please wait 5 minutes and 42 seconds before requesting another review. ⌛ How to resolve this issue?After the wait time has elapsed, a review can be triggered using the We recommend that you space out your commits to avoid hitting the rate limit. 🚦 How do rate limits work?CodeRabbit enforces hourly rate limits for each developer per organization. Our paid plans have higher rate limits than the trial, open-source and free plans. In all cases, we re-allow further reviews after a brief timeout. Please see our FAQ for further information. 📒 Files selected for processing (2)
WalkthroughAdds an Enhanced Heavy Path Decomposition (HPD) implementation and documentation. Introduces a Python module with SegmentTree and HeavyPathDecomposition classes, path/subtree queries and updates, LCA, performance stats, test case generation, visualization utilities, and a main entrypoint. Adds a README detailing theory, API skeleton, usage examples, and future enhancements. Changes
Sequence Diagram(s)sequenceDiagram
autonumber
actor User
participant HPD as HeavyPathDecomposition
participant ST as SegmentTree(s)
rect rgb(235,245,255)
note over HPD: Build phase
User->>HPD: __init__(tree, values)
HPD->>HPD: compute sizes, depths, heavy edges
HPD->>HPD: assign head, pos
HPD->>ST: build per-chain segment trees
end
rect rgb(245,255,235)
note over HPD,ST: Path query
User->>HPD: path_query(u, v, op)
loop climb chains
HPD->>ST: query(pos[head..u])
ST-->>HPD: partial aggregate
end
HPD-->>User: aggregate result
end
rect rgb(255,245,235)
note over HPD,ST: Update path
User->>HPD: update_path(u, v, value)
loop climb chains
HPD->>ST: update point/range on segments
end
HPD-->>User: ack
end
sequenceDiagram
autonumber
actor User
participant HPD as HeavyPathDecomposition
participant ST as SegmentTree
note over HPD,ST: Subtree query/update
User->>HPD: subtree_query(u, op)
HPD->>ST: query(pos[u]..pos[u]+size[u]-1)
ST-->>HPD: aggregate
HPD-->>User: result
Estimated code review effort🎯 4 (Complex) | ⏱️ ~60 minutes Assessment against linked issues
Assessment against linked issues: Out-of-scope changes
Possibly related issues
Suggested reviewers
Poem
✨ Finishing Touches
🧪 Generate unit tests
Thanks for using CodeRabbit! It's free for OSS, and your support helps us grow. If you like it, consider giving us a shout-out. 🪧 TipsChatThere are 3 ways to chat with CodeRabbit:
SupportNeed help? Create a ticket on our support page for assistance with any issues or questions. CodeRabbit Commands (Invoked using PR/Issue comments)Type Other keywords and placeholders
CodeRabbit Configuration File (
|
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
github-actions
Bot
added
Advanced
Contributor
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
![coderabbitai[bot]](https://avatars.githubusercontent.com/in/347564?s=60&v=4){kind=small}
There was a problem hiding this comment.
Actionable comments posted: 8
Caution
Some comments are outside the diff and can’t be posted inline due to platform limitations.
⚠️ Outside diff range comments (1)
Algorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/README.md (1)
380-381: Fix incorrect expected path query sum calculation.The expected sum for path 0->5 is incorrect. Based on the tree structure
[[1, 2], [0, 3, 4], [0], [1, 5], [1], [3]]and values[1, 2, 3, 4, 5, 6], the path 0->5 should be 0->1->3->5 with values 1+2+4+6=13, not 21.Apply this fix:
- (0, 5): 21, # Sum of path 0->1->3->5 + (0, 5): 13, # Sum of path 0->1->3->5
🧹 Nitpick comments (8)
Algorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/README.md (3)
11-11: Fix grammatical errors in the key concepts list.The numbered list items have grammatical issues - missing "a" article.
Apply this fix:
-1. **Heavy Paths**: Paths in tree where each node has at most one heavy child +1. **Heavy Paths**: Paths in a tree where each node has at most one heavy child
248-253: Add a language specifier to the fenced code block.The directory structure code block lacks a language specifier.
Apply this fix:
-``` +```text Shivansh/Heavy_Path_Decomposition_Enhanced/ ├── README.md ├── heavy_path_decomposition.py └── test_heavy_path_decomposition.py--- `241-244`: **Consider documenting optional visualization dependencies.** The README shows matplotlib and seaborn as optional dependencies for advanced visualizations, but the main code uses matplotlib in a non-optional way. Consider clarifying the dependency requirements: ```diff # For advanced visualizations -import seaborn as sns -from matplotlib.animation import FuncAnimation +import seaborn as sns # Optional: for enhanced styling +from matplotlib.animation import FuncAnimation # Optional: for animated visualizations +# Note: matplotlib is required for basic visualizationsAlgorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/heavy_path_decomposition.py (5)
1-1: Remove unused import.The
timemodule is imported but never used in the code.Apply this fix:
-import time
3-3: Remove unused Tuple import.
Tupleis imported from typing but never used.Apply this fix:
-from typing import List, Optional, Tuple, Dict, Any +from typing import List, Optional, Dict, Any
149-149: Use the public method instead of private method for consistency.The code calls
self._get_lcainstead of the publicself.get_lcamethod.Apply this fix for consistency:
- lca = self._get_lca(u, v) + lca = self.get_lca(u, v)
276-276: Use the public method instead of private method for consistency.Similar to line 149, use the public
get_lcamethod.Apply this fix:
- lca = self._get_lca(u, v) + lca = self.get_lca(u, v)
314-315: Consider implementing proper binary lifting for O(log n) LCA queries.The current implementation is O(n) in the worst case. For better performance with the claimed O(log n) complexity, implement binary lifting.
The comment acknowledges this is a simplified implementation. Would you like me to provide a proper binary lifting implementation for O(log n) LCA queries?
📜 Review details
Configuration used: CodeRabbit UI
Review profile: CHILL
Plan: Pro
💡 Knowledge Base configuration:
- MCP integration is disabled by default for public repositories
- Jira integration is disabled by default for public repositories
- Linear integration is disabled by default for public repositories
You can enable these sources in your CodeRabbit configuration.
📒 Files selected for processing (2)
Algorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/README.md(1 hunks)Algorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/heavy_path_decomposition.py(1 hunks)
🧰 Additional context used
🪛 LanguageTool
Algorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/README.md
[grammar] ~11-~11: There might be a mistake here.
Context: ...Key Concepts 1. Heavy Paths: Paths in tree where each node has at most one he...
(QB_NEW_EN)
[grammar] ~11-~11: There might be a mistake here.
Context: ...re each node has at most one heavy child 2. Light Edges: Edges not on heavy paths ...
(QB_NEW_EN)
[grammar] ~12-~12: There might be a mistake here.
Context: ...Light Edges*: Edges not on heavy paths 3. Path Decomposition: Tree partitioned i...
(QB_NEW_EN)
[grammar] ~13-~13: There might be a mistake here.
Context: ...ion**: Tree partitioned into heavy paths 4. Segment Trees: Used for efficient rang...
(QB_NEW_EN)
[grammar] ~25-~25: There might be a mistake here.
Context: ...ction Time**: O(n) for tree with n nodes - Path Query: O(log²n) for path operatio...
(QB_NEW_EN)
[grammar] ~26-~26: There might be a mistake here.
Context: ...th Query**: O(log²n) for path operations - Subtree Query: O(log n) for subtree op...
(QB_NEW_EN)
[grammar] ~27-~27: There might be a mistake here.
Context: ...Query**: O(log n) for subtree operations - Update Time: O(log n) for point update...
(QB_NEW_EN)
[grammar] ~32-~32: There might be a mistake here.
Context: ...*: Efficient path sum/min/max operations 2. Dynamic Tree Problems: Support for tre...
(QB_NEW_EN)
[grammar] ~33-~33: There might be a mistake here.
Context: ...oblems**: Support for tree modifications 3. Competitive Programming: Advanced tree...
(QB_NEW_EN)
[grammar] ~34-~34: There might be a mistake here.
Context: ... Programming**: Advanced tree algorithms 4. Network Routing: Tree-based routing al...
(QB_NEW_EN)
[grammar] ~35-~35: There might be a mistake here.
Context: ...Routing**: Tree-based routing algorithms 5. Database Systems: Hierarchical data st...
(QB_NEW_EN)
[grammar] ~36-~36: There might be a mistake here.
Context: ... Systems**: Hierarchical data structures 6. Game Development: Game tree algorithms...
(QB_NEW_EN)
[grammar] ~114-~114: There might be a mistake here.
Context: ...Advanced Features ### 1. Persistent HPD - Version control for tree states - Effici...
(QB_NEW_EN)
[grammar] ~115-~115: There might be a mistake here.
Context: ...nt HPD - Version control for tree states - Efficient state management - Incremental...
(QB_NEW_EN)
[grammar] ~116-~116: There might be a mistake here.
Context: ...tree states - Efficient state management - Incremental updates ### 2. Lazy Propaga...
(QB_NEW_EN)
[grammar] ~119-~119: There might be a mistake here.
Context: ...emental updates ### 2. Lazy Propagation - Efficient range updates - Batch operatio...
(QB_NEW_EN)
[grammar] ~120-~120: There might be a mistake here.
Context: ...zy Propagation - Efficient range updates - Batch operations - Memory optimization ...
(QB_NEW_EN)
[grammar] ~121-~121: There might be a mistake here.
Context: ...ficient range updates - Batch operations - Memory optimization ### 3. Dynamic Upda...
(QB_NEW_EN)
[grammar] ~124-~124: There might be a mistake here.
Context: ...ory optimization ### 3. Dynamic Updates - Support for edge additions/removals - Ef...
(QB_NEW_EN)
[grammar] ~125-~125: There might be a mistake here.
Context: ...es - Support for edge additions/removals - Efficient rebuilding - Incremental decom...
(QB_NEW_EN)
[grammar] ~126-~126: There might be a mistake here.
Context: ...dditions/removals - Efficient rebuilding - Incremental decomposition ### 4. Perfor...
(QB_NEW_EN)
[grammar] ~129-~129: There might be a mistake here.
Context: ...mposition ### 4. Performance Monitoring - Query time analysis - Memory usage track...
(QB_NEW_EN)
[grammar] ~130-~130: There might be a mistake here.
Context: ...ormance Monitoring - Query time analysis - Memory usage tracking - Optimization met...
(QB_NEW_EN)
[grammar] ~131-~131: There might be a mistake here.
Context: ...ry time analysis - Memory usage tracking - Optimization metrics ## Performance Ana...
(QB_NEW_EN)
[grammar] ~136-~136: There might be a mistake here.
Context: ...erformance Analysis ### Time Complexity - Construction: O(n) for tree with n nod...
(QB_NEW_EN)
[grammar] ~137-~137: There might be a mistake here.
Context: ...ime Complexity - Construction: O(n) for tree with n nodes - Path Query: O(l...
(QB_NEW_EN)
[grammar] ~137-~137: There might be a mistake here.
Context: ...nstruction**: O(n) for tree with n nodes - Path Query: O(log²n) for path operatio...
(QB_NEW_EN)
[grammar] ~138-~138: There might be a mistake here.
Context: ...th Query**: O(log²n) for path operations - Subtree Query: O(log n) for subtree op...
(QB_NEW_EN)
[grammar] ~139-~139: There might be a mistake here.
Context: ...Query**: O(log n) for subtree operations - Update: O(log n) for point updates ##...
(QB_NEW_EN)
[grammar] ~142-~142: There might be a mistake here.
Context: ... for point updates ### Space Complexity - Storage: O(n) for tree structure - **S...
(QB_NEW_EN)
[grammar] ~143-~143: There might be a mistake here.
Context: ...y - Storage: O(n) for tree structure - Segment Trees: O(n log n) additional s...
(QB_NEW_EN)
[grammar] ~144-~144: There might be a mistake here.
Context: ...ent Trees**: O(n log n) additional space - Memory Efficiency: Good for large tree...
(QB_NEW_EN)
[grammar] ~147-~147: There might be a mistake here.
Context: ...: Good for large trees ### Memory Usage - Efficient: Only stores necessary infor...
(QB_NEW_EN)
[grammar] ~154-~154: There might be a mistake here.
Context: ...ad ## Visualization ### Tree Structure - Visual representation of tree - Show hea...
(QB_NEW_EN)
[grammar] ~155-~155: There might be a mistake here.
Context: ...tructure - Visual representation of tree - Show heavy paths - Highlight light edges...
(QB_NEW_EN)
[grammar] ~156-~156: There might be a mistake here.
Context: ...epresentation of tree - Show heavy paths - Highlight light edges ### Path Queries ...
(QB_NEW_EN)
[grammar] ~159-~159: There might be a mistake here.
Context: ... Highlight light edges ### Path Queries - Animate path query process - Show decomp...
(QB_NEW_EN)
[grammar] ~164-~164: There might be a mistake here.
Context: ... decomposition ### Performance Analysis - Show query time distribution - Visualize...
(QB_NEW_EN)
[grammar] ~257-~257: There might be a mistake here.
Context: ...exity | Space Complexity | Description | |-----------|----------------|----------...
(QB_NEW_EN)
[grammar] ~258-~258: There might be a mistake here.
Context: ...------|------------------|-------------| | Construction | O(n) | O(n) | Build HPD...
(QB_NEW_EN)
[grammar] ~259-~259: There might be a mistake here.
Context: ... | O(n) | Build HPD for tree of size n | | Path Query | O(log²n) | O(1) | Query o...
(QB_NEW_EN)
[grammar] ~260-~260: There might be a mistake here.
Context: ...og²n) | O(1) | Query operation on path | | Subtree Query | O(log n) | O(1) | Quer...
(QB_NEW_EN)
[grammar] ~261-~261: There might be a mistake here.
Context: ...n) | O(1) | Query operation on subtree | | Update Node | O(log n) | O(1) | Update...
(QB_NEW_EN)
[grammar] ~262-~262: There might be a mistake here.
Context: ...O(log n) | O(1) | Update value at node | | Update Path | O(log²n) | O(1) | Update...
(QB_NEW_EN)
[grammar] ~263-~263: There might be a mistake here.
Context: ...(log²n) | O(1) | Update values on path | | Get LCA | O(log n) | O(1) | Find lowes...
(QB_NEW_EN)
[grammar] ~266-~266: There might be a mistake here.
Context: ...west common ancestor | ## Applications in Real-World 1. **Competitive Programmin...
(QB_NEW_EN)
[grammar] ~268-~268: There might be a mistake here.
Context: ... Programming**: Advanced tree algorithms 2. Network Routing: Tree-based routing al...
(QB_NEW_EN)
[grammar] ~269-~269: There might be a mistake here.
Context: ...Routing**: Tree-based routing algorithms 3. Database Systems: Hierarchical data st...
(QB_NEW_EN)
[grammar] ~270-~270: There might be a mistake here.
Context: ... Systems**: Hierarchical data structures 4. Game Development: Game tree algorithms...
(QB_NEW_EN)
[grammar] ~271-~271: There might be a mistake here.
Context: ...Game Development**: Game tree algorithms 5. Bioinformatics: Phylogenetic tree anal...
(QB_NEW_EN)
[grammar] ~272-~272: There might be a mistake here.
Context: ...nformatics**: Phylogenetic tree analysis 6. Social Networks: Hierarchical relation...
(QB_NEW_EN)
[grammar] ~277-~277: There might be a mistake here.
Context: ...# Advanced Topics ### 1. Persistent HPD - Version control for tree states - Effici...
(QB_NEW_EN)
[grammar] ~278-~278: There might be a mistake here.
Context: ...nt HPD - Version control for tree states - Efficient state management - Incremental...
(QB_NEW_EN)
[grammar] ~279-~279: There might be a mistake here.
Context: ...tree states - Efficient state management - Incremental updates ### 2. Dynamic HPD ...
(QB_NEW_EN)
[grammar] ~282-~282: There might be a mistake here.
Context: ... Incremental updates ### 2. Dynamic HPD - Support for edge modifications - Efficie...
(QB_NEW_EN)
[grammar] ~283-~283: There might be a mistake here.
Context: ...mic HPD - Support for edge modifications - Efficient rebuilding - Incremental decom...
(QB_NEW_EN)
[grammar] ~284-~284: There might be a mistake here.
Context: ...dge modifications - Efficient rebuilding - Incremental decomposition ### 3. Compre...
(QB_NEW_EN)
[grammar] ~287-~287: There might be a mistake here.
Context: ...sition ### 3. Compressed Representation - Memory optimization - Compression techni...
(QB_NEW_EN)
[grammar] ~288-~288: There might be a mistake here.
Context: ...sed Representation - Memory optimization - Compression techniques - Cache-friendly ...
(QB_NEW_EN)
[grammar] ~289-~289: There might be a mistake here.
Context: ...ry optimization - Compression techniques - Cache-friendly implementations ### 4. S...
(QB_NEW_EN)
[grammar] ~292-~292: There might be a mistake here.
Context: ...ementations ### 4. Specialized Variants - Link-cut trees - Top trees - Euler tour ...
(QB_NEW_EN)
[grammar] ~293-~293: There might be a mistake here.
Context: ...4. Specialized Variants - Link-cut trees - Top trees - Euler tour trees ## Impleme...
(QB_NEW_EN)
[grammar] ~294-~294: There might be a mistake here.
Context: ...ed Variants - Link-cut trees - Top trees - Euler tour trees ## Implementation Note...
(QB_NEW_EN)
[grammar] ~299-~299: There might be a mistake here.
Context: ...ion**: Proper heavy child identification 2. Segment Tree Integration: Efficient ra...
(QB_NEW_EN)
[grammar] ~300-~300: There might be a mistake here.
Context: ...gration**: Efficient range query support 3. Memory Management: Efficient tree allo...
(QB_NEW_EN)
[grammar] ~301-~301: There might be a mistake here.
Context: ... Management**: Efficient tree allocation 4. Error Handling: Robust input validatio...
(QB_NEW_EN)
[grammar] ~302-~302: There might be a mistake here.
Context: ...rror Handling**: Robust input validation 5. Performance Optimization: Cache-friend...
(QB_NEW_EN)
🪛 markdownlint-cli2 (0.17.2)
Algorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/README.md
248-248: Fenced code blocks should have a language specified
(MD040, fenced-code-language)
🪛 Ruff (0.12.2)
Algorithms_and_Data_Structures/Advanced Algorithms/Heavy_Path_Decomposition_Enhanced/heavy_path_decomposition.py
1-1: time imported but unused
Remove unused import: time
(F401)
3-3: typing.Tuple imported but unused
Remove unused import: typing.Tuple
(F401)
…Decomposition_Enhanced/heavy_path_decomposition.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
…Decomposition_Enhanced/heavy_path_decomposition.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
…Decomposition_Enhanced/heavy_path_decomposition.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
…Decomposition_Enhanced/heavy_path_decomposition.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
…Decomposition_Enhanced/heavy_path_decomposition.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
…Decomposition_Enhanced/heavy_path_decomposition.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
…Decomposition_Enhanced/README.md Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
|
✅ PR validation passed! Syncing labels and assignees from the linked issue... |
UTSAVS26
added
Status: Approved ✔️
2 participants
Pull Request for PyVerse ��
Requesting to submit a pull request to the PyVerse repository.
Issue Title
Please enter the title of the issue related to your pull request.
Implementation of Heavy Light Decomposition and Enhanced Heavy Path Decomposition Algorithms
Info about the Related Issue
What's the goal of the project?
The goal is to implement two advanced tree decomposition algorithms: Heavy Light Decomposition (HLD) and Enhanced Heavy Path Decomposition (HPD). These algorithms are fundamental for efficient tree path queries and updates, enabling O(log²n) path operations and O(log n) subtree operations. The implementations include comprehensive features like segment tree integration, visualization capabilities, performance analysis, and support for multiple query operations (sum, min, max). These algorithms are essential for competitive programming, network routing, database systems, and hierarchical data structure problems.
Name
Please mention your name.
Shivansh Katiyar
GitHub ID
Please mention your GitHub ID.
SK8-infi
Email ID
Please mention your email ID for further communication.
shivansh.katiyar1712@gmail.com
Identify Yourself
Mention in which program you are contributing (e.g., WoB, GSSOC, SSOC, SWOC).
SSOC
Closes
Enter the issue number that will be closed through this PR.
** Closes: #1692 **
Describe the Add-ons or Changes You've Made
Give a clear description of what you have added or modified.
I have implemented two comprehensive tree decomposition algorithms with advanced features:
1. Heavy Light Decomposition (HLD):
2. Enhanced Heavy Path Decomposition (HPD):
Key Features Across Both Implementations:
Applications Covered:
Tree path queries and updates
Network routing algorithms
Database hierarchical structures
Competitive programming problems
Game development tree algorithms
Bioinformatics phylogenetic analysis
Social network hierarchical relationships
I have described my changes.
Type of Change
Select the type of change:
How Has This Been Tested?
Describe how your changes have been tested.
Both implementations have been thoroughly tested through multiple comprehensive approaches:
Automated Testing:
Validation Testing:
Performance Benchmarking:
Comprehensive Test Scenarios:
Code Quality Testing:
Type Checking: Full type hint validation
Code Style: PEP 8 compliance verification
Documentation: README accuracy and completeness testing
Error Handling: Input validation and exception handling verification
I have described my testing process.
Checklist
Please confirm the following:
Summary by CodeRabbit
New Features
Documentation