CoTe Teacher

CoTe Teacher

Overview

This skill automates the creation of structured learning materials for coding test (CoTe) algorithm and data structure patterns. When a user requests learning materials for a specific pattern or concept, this skill generates a comprehensive markdown document following a standardized template and automatically updates the project's README.md with a link to the new material.

When to Use This Skill

Use this skill when the user requests:

• Learning materials for algorithm patterns (e.g., "Create learning material for sliding window pattern")
• Concept explanations for data structures (e.g., "Explain hash table concept with examples")
• Study guides for specific problem-solving techniques (e.g., "Make a two-pointer technique guide")

Trigger keywords: 학습 자료, 패턴 정리, 개념 정리, 학습, 정리, learning material, pattern guide

Workflow

Step 1: Understand the Request

Identify the algorithm/​pattern/​concept from the user's request:

• Sliding window (슬라이딩 윈도우)
• Two pointers (투 포인터)
• Hash table (해시 테이블)
• Dynamic programming (동적 계획법)
• DFS/​BFS
• Greedy algorithm (그리디)
• Binary search (이진 탐색)
• etc.

Step 2: Prepare the Environment

1. Check/​create _learning/ folder:

   mkdir -p _learning
   

2. Determine the filename:

   • Format: Korean pattern name with underscores
   • Example: 슬라이딩_윈도우.md, 투_포인터.md

Step 3: Select Appropriate Template

Template Selection Logic: Automatically choose the best template based on the content type:

1. visualization.md - Use when the topic involves:

   • Graphs, trees, or complex data structures
   • Step-by-step visual progression
   • Keywords: "그래프", "트리", "탐색", "DFS", "BFS", "최단경로"

2. mathematical.md - Use when the topic requires:

   • Mathematical proofs or recurrence relations
   • Dynamic programming formulations
   • Complexity analysis with formal proofs
   • Keywords: "DP", "동적계획법", "조합", "증명", "점화식", "복잡도 분석"

3. implementation.md - Use when the topic focuses on:

   • Data structure implementation details
   • Class design and methods
   • Internal mechanics
   • Keywords: "구현", "자료구조", "힙", "세그먼트 트리", "Union-Find", "클래스"

4. basic_pattern.md - Use as default for:

   • Simple algorithmic patterns
   • Text-heavy concept explanations
   • Techniques without heavy visualization or math
   • Keywords: "슬라이딩 윈도우", "투 포인터", "그리디", "패턴"

Decision Process:

IF keywords match visualization criteria:
    → Use visualization.md

ELSE IF keywords match mathematical criteria:
    → Use mathematical.md

ELSE IF keywords match implementation criteria:
    → Use implementation.md

ELSE:
    → Use basic_pattern.md (default)

Step 4: Generate Learning Material

1. Read the selected template: Load the appropriate template from assets/

2. Create the learning document at _learning/[패턴명].md

3. Fill in the content based on the template structure:

   • Use clear, educational Korean explanations
   • Include practical Python code examples
   • Reference real coding test problems
   • Add complexity analysis
   • Follow the template's specific sections

Step 5: Update README.md

1. Locate the section: Find "## 고민 없이 풀는 방법은 없을까?" in the main README.md

2. Add the link following existing pattern:

   ## 고민 없이 풀는 방법은 없을까?
   
   - [변수 및 함수 작명법](NAMING.md)
   - [문제 풀이 방법](SOLVING.md)
   - [슬라이딩 윈도우 패턴](_learning/슬라이딩_윈도우.md)
   

3. Maintain alphabetical or logical ordering if preferred

Step 6: Confirm Completion

Inform the user:

• Location of the created file
• What was added to README.md
• Suggest reviewing and customizing the content as needed

Resources

This skill provides 4 specialized templates for different types of learning content. Choose the appropriate template based on the topic's characteristics.

assets/​basic_pattern.md

Purpose: Default template for simple algorithmic patterns and techniques

Best for:

• Sliding window, two pointers, greedy algorithms
• Text-focused concept explanations
• Simple problem-solving patterns

Structure:

• Concept explanation
• Step-by-step approach
• Python code examples
• Complexity analysis
• Related problems
• Learning tips

assets/​visualization.md

Purpose: Template emphasizing visual learning with diagrams and step-by-step illustrations

Best for:

• Graph algorithms (DFS, BFS, shortest paths)
• Tree structures and traversals
• Complex data structures requiring visualization
• Algorithms with clear state changes

Special features:

• Mermaid diagrams
• ASCII art visualizations
• Step-by-step execution tables
• Flowcharts
• Hand-drawing practice checklists

assets/​mathematical.md

Purpose: Template focused on mathematical formulations and proofs

Best for:

• Dynamic programming with recurrence relations
• Combinatorics and number theory
• Algorithms requiring mathematical proof
• Complexity analysis with formal proofs

Special features:

• Recurrence relation derivation
• Mathematical induction proofs
• Optimal substructure proofs
• Asymptotic notation analysis
• Formula-heavy explanations

assets/​implementation.md

Purpose: Template for detailed data structure implementation guides

Best for:

• Heap, segment tree, Union-Find
• Custom data structure implementations
• Class design and method explanations
• Internal mechanics and invariants

Special features:

• Complete class implementation
• Method-by-method breakdown
• Invariant conditions
• Helper method patterns
• Test code examples
• Optimization techniques

Example Usage

Example 1: Basic Pattern

User request: "슬라이딩 윈도우 패턴 학습 자료 만들어줘"

Template selected: basic_pattern.md (simple algorithmic pattern)

Actions:

1. Create _learning/슬라이딩_윈도우.md using basic_pattern.md
2. Fill in text-focused content:
   • Concept: Definition of sliding window pattern
   • Principle: How it works with examples
   • Code: Python implementation with comments
   • Complexity: O(N) time, O(1) space
   • Problems: Programmers/​Baekjoon recommendations
3. Update README.md with link
4. Confirm: "✅ Created at _learning/슬라이딩_윈도우.md using basic pattern template"

Example 2: Visualization Template

User request: "그래프 DFS 알고리즘 학습 자료"

Template selected: visualization.md (requires visual diagrams)

Actions:

1. Create _learning/그래프_DFS.md using visualization.md
2. Fill in visualization-rich content:
   • Mermaid graph diagrams
   • Step-by-step execution tables
   • ASCII art for graph states
   • Hand-drawing practice checklist
3. Update README.md
4. Confirm: "✅ Created with Mermaid diagrams at _learning/그래프_DFS.md"

Example 3: Mathematical Template

User request: "동적 계획법 원리 정리해줘"

Template selected: mathematical.md (DP recurrence relations)

Actions:

1. Create _learning/동적_계획법.md using mathematical.md
2. Fill in math-heavy content:
   • Recurrence relation derivation
   • Mathematical induction proof
   • Optimal substructure proof
   • Complexity analysis with proofs
3. Update README.md
4. Confirm: "✅ Created with mathematical proofs at _learning/동적_계획법.md"

Example 4: Implementation Template

User request: "힙 자료구조 구현 방법 설명"

Template selected: implementation.md (data structure implementation)

Actions:

1. Create _learning/힙_구현.md using implementation.md
2. Fill in implementation-focused content:
   • Complete class implementation
   • Method-by-method breakdown
   • Invariant conditions
   • Test code examples
3. Update README.md
4. Confirm: "✅ Created with complete implementation at _learning/힙_구현.md"

Notes

• All learning materials use Korean for explanations to match the project's documentation language
• Code examples should always be in Python as per project standards
• Maintain consistency with existing project structure and naming conventions
• Learning materials are separate from problem solutions - they focus on teaching concepts, not solving specific problems