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Merge pull request #72 from lufftw/review/pattern-dp-knapsack-subset
review(dp_knapsack_subset): Fix duplicate separators, assess Tier 2
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docs/patterns/dp_knapsack_subset/templates.md

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## 7. Base Template: Partition Equal Subset Sum (LeetCode 416)
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> **Problem**: Can array be partitioned into two subsets with equal sum?
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## 11. Pattern Comparison
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### 11.1 0/1 Knapsack vs Unbounded Knapsack
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## 12. Decision Flowchart
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```
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## 13. Template Quick Reference
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### 13.1 1. 0/1 Knapsack - Boolean (Can Reach?)

docs/reviews/pattern-review-log.md

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| binary_search | Tier 2 | 2025-01-07 | 0/0/1/2 | Reviewed |
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| bitmask_dp | Pending | - | - | Queued |
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| dp_1d_linear | Tier 2 | 2025-01-07 | 0/0/1/0 | Reviewed |
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| dp_knapsack_subset | Pending | - | - | Queued |
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| dp_knapsack_subset | Tier 2 | 2025-01-07 | 0/0/1/0 | Reviewed |
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| game_theory_dp | Pending | - | - | Queued |
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| graph | Tier 2 | 2025-01-07 | 0/0/1/0 | Reviewed |
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| greedy_core | Pending | - | - | Queued |
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## DP Knapsack/Subset Review - 2025-01-07
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### Files Reviewed
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- `docs/patterns/dp_knapsack_subset/templates.md` (618 lines)
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- `docs/patterns/dp_knapsack_subset/intuition.md` (224 lines)
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### Reference Standards
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- Gold Standard: `sliding_window/templates.md`
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- Ontology Entry: `DPKnapsackSubset` from `ontology/api_kernels.toml`
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### Findings
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#### [DPKS-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/dp_knapsack_subset/templates.md` (4 locations between sections 6-13) |
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| **Issue** | Double `---` separators appear between sections 6-7, 10-11, 11-12, and 12-13, 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 (4 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** |`DPKnapsackSubset` with clear "take or skip" mechanism |
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| **Two Major Variants** | ✅ Section 3 clearly distinguishes 0/1 vs Unbounded Knapsack |
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| **Iteration Direction** | ✅ Backwards vs Forwards direction explained with examples |
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| **State Definition Patterns** | ✅ Boolean/Count/Minimize variants with transition formulas |
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| **DP vs Backtracking Guide** | ✅ Section 5 provides clear selection criteria |
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| **Space Optimization** | ✅ Section 6 shows 2D → 1D reduction with "why backwards" explanation |
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| **Pattern Variants** | ✅ 4 problems: LC 416, 494, 322, 518 with full implementations |
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| **Code Templates Summary** | ✅ Section 13 with 6 templates covering all variants |
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| **Decision Flowchart** | ✅ Section 12 with ASCII flowchart and pattern selection guide |
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| **Transformation Patterns** | ✅ Section 12.3 covers Target Sum, Partition transformations |
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| **Intuition Quality** | ✅ "Take it or leave it" mental model, burglar backpack analogy |
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| **Common Pitfalls** | ✅ 3 pitfalls: wrong iteration direction, combinations vs permutations, edge cases |
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| **Practice Progression** | ✅ Level 1-4: LC 416 → 494 → 322 → 518 |
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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**: Excellent coverage of knapsack family with clear 0/1 vs Unbounded distinction. The iteration direction explanation is particularly valuable - a common source of confusion. Strong transformation patterns section for problems like Target Sum. Same number of duplicate separators as dp_1d_linear (4).
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### Action Items
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- [x] Fix duplicate section separators (4 locations)
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---
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*Pattern Review Log - NeetCode Practice Framework*

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