DP State Designer Skill

SkillDev tools

Assist in designing optimal DP states and transitions

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Then ask your AI: use the DP State Designer Skill skill

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/algorithms-optimization/skills/dp-state-designer/SKILL.md and read by ahel’s review.

Purpose

Assist in designing optimal dynamic programming states, transitions, and optimizations for complex DP problems.

Capabilities

  • Identify subproblem structure from problem description
  • Suggest state representations (dimensions, parameters)
  • Derive transition formulas
  • Identify optimization opportunities (rolling array, bitmask compression)
  • Generate state space complexity estimates
  • Detect overlapping subproblems

Target Processes

  • dp-pattern-matching
  • dp-state-optimization
  • dp-transition-derivation
  • advanced-dp-techniques

DP Design Framework

  1. Subproblem Identification: What smaller problems compose the solution?
  2. State Definition: What parameters uniquely identify a subproblem?
  3. Transition Formula: How do we combine subproblem solutions?
  4. Base Cases: What are the trivial subproblems?
  5. Computation Order: In what order should we solve subproblems?
  6. Space Optimization: Can we reduce memory usage?

Input Schema

{
  "type": "object",
  "properties": {
    "problemDescription": { "type": "string" },
    "constraints": { "type": "object" },
    "examples": { "type": "array" },
    "requestType": {
      "type": "string",
      "enum": ["fullDesign", "stateOnly", "transitions", "optimize"]
    }
  },
  "required": ["problemDescription", "requestType"]
}

Output Schema

{
  "type": "object",
  "properties": {
    "success": { "type": "boolean" },
    "state": {
      "type": "object",
      "properties": {
        "definition": { "type": "string" },
        "parameters": { "type": "array" },
        "complexity": { "type": "string" }
      }
    },
    "transitions": { "type": "array" },
    "baseCases": { "type": "array" },
    "optimizations": { "type": "array" }
  },
  "required": ["success"]
}

Signals

GitHub stars
2k
Forks
112
Last commit
Sep 2026
Advanced
Item type
skill
Key
dp-state-designer
Source
github.com/a5c-ai/babysitter