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Exp Count

exp_count
Read-onlyIdempotent

How many exponential divisors n has. 1 and 6 have 1, 8 and 12 have 2, 16 has 3, and 36 has 4. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/exp-count

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "n": "<n>"
    },
    "name": "exp_count"
  }
}

Input Schema

NameRequiredDescriptionDefault
nYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. Added

TDQS

A3.5/5.0
Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already cover read-only, idempotent, non-destructive behavior. The description adds useful operational context beyond annotations: it is a paid x402/Solana call with a stated per-success price and an equivalent HTTPS endpoint.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The definition is front-loaded with the core computation and examples, followed by domain and payment details. It is compact overall, though the HTTPS endpoint and pricing could be seen as secondary details rather than selection-critical information.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With no output schema, the description still conveys the return value through 'How many' and the illustrative outputs. It covers the valid domain and payment model, though it could be slightly clearer about the exact return type and error behavior.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, so the description must carry parameter meaning. It states that n runs from 1 to 1000000 and examples clarify the computation, but it does not define exponential divisors in words or add much beyond the schema's existing min/max constraints.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states a specific computation: counting the exponential divisors of n, with concrete examples such as 1, 6, 8, 12, 16, and 36. It is clear what the tool computes, but it does not explicitly distinguish itself from nearby siblings such as exp_divisors or exp_sigma.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides the input domain and pricing but gives no explicit when-to-use guidance or alternatives. An agent must infer that this is the count variant rather than exp_divisors or another exp_* sibling.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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