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anirbanbasu

smt-sudoku-mcp

by anirbanbasu

Validate Full Sudoku Solution

validate_full_sudoku_solution

Validate a complete 9x9 Sudoku grid to confirm it meets all solution rules. Returns whether the filled grid is a correct solution.

Instructions

Check whether a fully-filled Sudoku grid is a correct solution.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
gridYesA 9x9 Sudoku grid; 0 marks an empty cell.

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
is_validYes
conflictsYes
has_empty_cellsYes
Behavior3/5

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

No annotations are provided, so the description carries the burden of behavioral disclosure. It does communicate that this is a read-only validation check, but it does not explain how empty cells (0) are treated, whether standard Sudoku rules are assumed, or what output is returned. The existence of an output schema mitigates the return-shape gap.

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?

The description is a single sentence with no wasted words, and it front-loads the key constraint ('fully-filled') before the purpose ('correct solution'). This is appropriately concise and easy to parse.

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 validator with an output schema, the definition is mostly adequate. However, it does not explicitly state the standard Sudoku rules being validated or clarify how to distinguish this from validate_partial_sudoku_solution, which leaves some ambiguity for an agent deciding between siblings.

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?

The schema already documents the grid parameter thoroughly: 9 rows of 9 cells, digits 1-9, and 0 for empty, giving 100% schema coverage. The description adds the 'fully-filled correct solution' context, but there is a slight tension because the schema explicitly permits empty cells while the description emphasizes a fully-filled grid.

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

Purpose5/5

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

The description states a specific operation ('Check whether') and a specific resource ('a fully-filled Sudoku grid'), and clarifies the goal is verifying a correct solution. The word 'fully-filled' distinguishes it from the partial-validation sibling, so an agent can select it without opening the schema.

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

Usage Guidelines4/5

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

The description makes the intended use clear: call it when you have a complete grid and need to know whether it is a valid solution. It does not explicitly name alternative sibling tools or state when not to use it, so it stops short of full routing guidance.

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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