Patterns
๐Ÿ”ข

Least-to-Most Prompting(LtM)

Progressive problem decomposition from simple to complex components

Complexity: mediumReasoning Techniques

๐ŸŽฏ 30-Second Overview

Pattern: Problem decomposition strategy that solves complex tasks by breaking them into simpler subproblems solved sequentially

Why: Enables tackling complex problems by building solutions incrementally from simple to complex components

Key Insight: Decompose complex problem โ†’ Solve simplest first โ†’ Use previous solutions โ†’ Build up to final answer

โšก Quick Implementation

1Problem Decomposition:Break complex problem into simpler subproblems
2Sequential Solving:Solve subproblems from simplest to most complex
3Solution Building:Use previous solutions to inform next steps
4Context Accumulation:Maintain growing context of solved parts
5Final Integration:Combine all solutions into complete answer
Example: Complex Problem โ†’ [Sub1, Sub2, Sub3] โ†’ Solve Sub1 โ†’ Use Sub1 in Sub2 โ†’ Use Sub1+Sub2 in Sub3 โ†’ Final Answer

๐Ÿ“‹ Do's & Don'ts

โœ…Decompose into truly independent subproblems first
โœ…Solve subproblems in strict order of dependency
โœ…Explicitly pass previous solutions to next steps
โœ…Validate each subproblem solution before proceeding
โœ…Use clear problem reduction prompts and examples
โŒSkip the decomposition step (jump to complex reasoning)
โŒSolve subproblems out of logical dependency order
โŒLose context between subproblem solving steps
โŒUse when problems cannot be meaningfully decomposed
โŒOver-decompose into trivial or atomic steps

๐Ÿšฆ When to Use

Use When

  • โ€ข Complex problems with clear hierarchical structure
  • โ€ข Multi-step reasoning with dependencies
  • โ€ข Mathematical proofs and derivations
  • โ€ข Programming problems with modular solutions
  • โ€ข Compositional reasoning tasks

Avoid When

  • โ€ข Simple problems solvable in one step
  • โ€ข Highly interconnected problems without clear decomposition
  • โ€ข Real-time applications requiring immediate answers
  • โ€ข Problems where context accumulation hurts performance
  • โ€ข When Chain-of-Thought is sufficient

๐Ÿ“Š Key Metrics

Decomposition Quality
Appropriateness and completeness of problem breakdown
Subproblem Accuracy
Correctness of individual subproblem solutions
Context Preservation
Effective use of previous solutions in later steps
Final Solution Quality
Accuracy vs direct problem solving approaches
Efficiency Gain
Performance improvement over standard prompting
Generalization
Success across different problem types and domains

๐Ÿ’ก Top Use Cases

Mathematical Problem Solving: Complex equation โ†’ Break into steps โ†’ Solve algebraically โ†’ Combine for final answer
Code Generation: Large program โ†’ Decompose into functions โ†’ Implement each function โ†’ Integrate into working code
Essay Writing: Complex topic โ†’ Outline main points โ†’ Develop each argument โ†’ Synthesize into coherent essay
Data Analysis: Complex dataset โ†’ Break into analysis components โ†’ Solve each analysis โ†’ Integrate insights
Strategic Planning: Business challenge โ†’ Identify key areas โ†’ Develop solutions for each โ†’ Create comprehensive strategy

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