Solution Comparator Skill

Purpose

Compare multiple algorithm solutions against the same test cases to verify correctness and benchmark performance.

Capabilities

• Run solutions against same test cases
• Performance benchmarking and comparison
• Output diff analysis
• Find minimal failing test case
• Memory usage comparison
• Time complexity validation

Target Processes

• correctness-proof-testing
• complexity-optimization
• upsolving
• algorithm-implementation

Comparison Modes

1. Correctness: Compare outputs against a known-correct solution
2. Performance: Benchmark execution time across solutions
3. Stress Testing: Run with random large inputs to find discrepancies
4. Minimal Counter-example: Binary search to find smallest failing case

Input Schema

json
{
  "type": "object",
  "properties": {
    "solutions": {
      "type": "array",
      "items": {
        "type": "object",
        "properties": {
          "name": { "type": "string" },
          "code": { "type": "string" },
          "language": { "type": "string" }
        }
      }
    },
    "testCases": { "type": "array" },
    "mode": {
      "type": "string",
      "enum": ["correctness", "performance", "stress", "minimal"]
    },
    "oracleSolution": { "type": "string" },
    "timeout": { "type": "integer", "default": 5000 }
  },
  "required": ["solutions", "mode"]
}

Output Schema

json
{
  "type": "object",
  "properties": {
    "success": { "type": "boolean" },
    "results": { "type": "array" },
    "discrepancies": { "type": "array" },
    "performance": { "type": "object" },
    "minimalFailingCase": { "type": "object" }
  },
  "required": ["success"]
}