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Merge pull request #68 from lufftw/review/pattern-topological-sort
review(topological_sort): Pattern quality review - Tier 2 assessment
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docs/patterns/topological_sort/templates.md

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## 2. Base Template: Course Schedule (LeetCode 207)
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> **Problem**: Determine if all courses can be finished given prerequisites.
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## 3. Variant: Course Schedule II (LeetCode 210)
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> **Problem**: Return one valid order to take all courses, or empty if impossible.
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## 4. Variant: Find Eventual Safe States (LeetCode 802)
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> **Problem**: Find all nodes that eventually lead only to terminal nodes.
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## 5. Advanced: Sort Items by Groups (LeetCode 1203)
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> **Problem**: Sort items respecting both group order and item dependencies.
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## 6. Pattern Comparison
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### 6.1 Kahn's Algorithm vs DFS Postorder
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## 7. Decision Guide: When to Use Topological Sort
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### 7.1 Pattern Recognition Signals
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## 8. Quick Reference Templates
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### 8.1 Template 1: Kahn's Algorithm (BFS)

docs/reviews/pattern-review-log.md

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| shortest_path | Pending | - | - | Queued |
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| string_dp | Pending | - | - | Queued |
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| string_matching | Pending | - | - | Queued |
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| topological_sort | Pending | - | - | Queued |
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| topological_sort | Tier 2 | 2025-01-07 | 0/0/1/0 | Reviewed |
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| tree | Tier 2 | 2025-01-07 | 0/0/1/0 | Reviewed |
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| tree_dp | Pending | - | - | Queued |
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| trie | Pending | - | - | Queued |
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## Topological Sort Review - 2025-01-07
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### Files Reviewed
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- `docs/patterns/topological_sort/templates.md` (928 lines)
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- `docs/patterns/topological_sort/intuition.md` (232 lines)
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### Reference Standards
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- Gold Standard: `sliding_window/templates.md`
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- Ontology Entry: `TopologicalSort` from `ontology/api_kernels.toml`
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### Findings
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#### [TS-001]: Duplicate Section Separators
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| Field | Value |
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|-------|-------|
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| **Category** | Engineering |
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| **Severity** | Minor |
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| **Location** | `docs/patterns/topological_sort/templates.md` (7 locations between sections 1-8) |
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| **Issue** | Double `---` separators appear between all major sections, creating visual inconsistency. |
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| **Why It Matters** | Cosmetic issue affecting document consistency. Does not impact functionality. |
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| **Decision** | Fix |
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| **Resolution** | Removed duplicate separators (7 locations). |
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### Positive Observations (Not Issues)
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| Aspect | Assessment |
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|--------|------------|
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| **API Kernel Header** |`TopologicalSort` with clear DAG ordering description |
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| **Core Concepts** | ✅ Section 1 covers both Kahn's and DFS algorithms with full code |
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| **Pattern Variants** | ✅ 4 variants: Cycle Detection (207), Return Order (210), Safe States (802), Multi-level (1203) |
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| **Code Templates Summary** | ✅ Section 8 at end with 4 templates (Kahn's, DFS, Cycle Detection, Safe Nodes) |
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| **Decision Framework** | ✅ ASCII decision flowchart (Section 7) |
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| **Kahn's vs DFS Comparison** | ✅ Clear comparison table with use-case guidance |
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| **Three-Color Cycle Detection** | ✅ WHITE→GRAY→BLACK pattern well explained |
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| **Trace Examples** | ✅ Step-by-step traces for all problem variants |
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| **Intuition Quality** | ✅ 5 mental models: Dependency Chain, Peeling Layers, DFS Postorder, Three-Color, Safe States |
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| **Common Pitfalls** | ✅ 4 pitfalls: wrong edge direction, disconnected components, self-loops, forgetting reverse |
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| **Practice Progression** | ✅ Level 1-4 problem sequence |
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### Summary
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| Category | Critical | Major | Minor | Nit | Total |
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|----------|----------|-------|-------|-----|-------|
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| Concept | 0 | 0 | 0 | 0 | 0 |
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| Explanation | 0 | 0 | 0 | 0 | 0 |
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| Engineering | 0 | 0 | 1 | 0 | 1 |
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| **Total** | 0 | 0 | 1 | 0 | **1** |
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### Tier Assessment
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- **Previous Tier**: Pending
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- **New Tier**: Tier 2 (Silver)
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- **Rationale**: Comprehensive topological sort coverage with both Kahn's and DFS algorithms fully implemented. The three-color cycle detection is particularly well explained. Strong decision framework for choosing between algorithms. Excellent intuition.md with 5 mental models. More duplicate separators than other patterns (7 vs typical 3), but still minor cosmetic issue.
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### Action Items
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- [x] Fix duplicate section separators (7 locations)
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*Pattern Review Log - NeetCode Practice Framework*

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