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counting_sort

Sort integer arrays in O(n+k) time and analyze value frequencies to order data and count occurrences.

Instructions

Sort an array of integers in O(n+k) time using counting sort, with frequency analysis.

Input Schema

NameRequiredDescriptionDefault
valuesYesArray of integers to sort

Schema Changelog

Changes observed during successful MCP inspections.

  1. Addedv0.1.11

TDQS

B3.1/5.0
Behavior2/5

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

No annotations exist, so the description carries full burden. It discloses time complexity O(n+k) and mentions 'frequency analysis', but doesn't explain what the frequency analysis output looks like, whether the sort is stable, or any input restrictions (e.g., non-negative integers required for counting sort).

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

Conciseness5/5

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

Single, well-structured sentence that front-loads the core action and algorithm while adding complexity info. No wasted words.

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

Completeness3/5

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

For a single-parameter sort tool, the description covers the basic purpose and algorithm, but lacks crucial usage constraints for counting sort (e.g., non-negative integer range) and leaves 'frequency analysis' output unexplained. No output schema exists, so more detail on return values would help.

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 coverage is 100% and only one parameter exists, so the schema already documents 'values' as 'Array of integers to sort'. The description adds the algorithm context but no additional parameter detail beyond what the schema provides; baseline 3 applies.

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?

Clear specific verb+resource: 'Sort an array of integers' with the algorithm named ('counting sort'). Distinguishable from siblings like radix_sort, bucket_sort, heap_sort, shell_sort, sort_lines, but the description does not explicitly differentiate when to choose counting sort over those alternatives.

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?

No guidance on when to use counting sort versus other sorting siblings (radix_sort, bucket_sort, heap_sort, etc.). No mention of constraints (non-negative integers, small range k) or alternative tools.

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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