Dp state designer

Skill a5c-ai/babysitter/library/specializations/algorithms-optimization/skills/dp-state-designer

Babysitter enforces obedience on agentic workforces and enables them to manage extremely complex tasks and workflows through deterministic, hallucination-free self-orchestration

Install

npx -y skills add a5c-ai/babysitter --skill dp-state-designer

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Assist in designing optimal DP states and transitions

SKILL.md

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DP State Designer Skill

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

Subproblem Identification: What smaller problems compose the solution?
State Definition: What parameters uniquely identify a subproblem?
Transition Formula: How do we combine subproblem solutions?
Base Cases: What are the trivial subproblems?
Computation Order: In what order should we solve subproblems?
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"]
}