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anirbanbasu

smt-sudoku-mcp

by anirbanbasu

Validate Partial Sudoku Solution

validate_partial_sudoku_solution

Check a partially-filled Sudoku grid for conflicts and verify it remains completable to a full valid solution.

Instructions

Check whether a partially-filled Sudoku grid is conflict-free and still completable.

Input Schema

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

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
conflictsYes
empty_cellsYesEvery still-empty cell in the grid, regardless of has_conflicts
has_conflictsYes
is_completableYesWhether the grid can still be completed; None when has_conflicts is True, since completability is not a meaningful question until conflicts are resolved
empty_cells_countYesNumber of still-empty cells, i.e. len(empty_cells)
Behavior3/5

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

With no annotations provided, the description carries the behavioral burden. It discloses the checking criteria (conflict-free, still completable) but does not clarify what 'completable' means (existence of at least one completion vs. uniqueness) or how invalid inputs are handled.

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 single sentence is concise and front-loaded with the action and key constraints. Every word contributes to understanding what the tool does.

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?

For a single-parameter tool with a rich schema and output schema present, the description is largely complete. The only notable gap is not defining the semantics of 'still completable' or the exact nature of conflict checking.

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%, with the grid and row structures already documented including '0 marks an empty cell.' The description adds only the 'partially-filled' framing, which is useful but not necessary beyond the schema, so the baseline score applies.

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 verb ('Check whether') and resource ('a partially-filled Sudoku grid'), with explicit criteria: conflict-free and still completable. It clearly distinguishes itself from validate_full_sudoku_solution by focusing on partial grids.

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 clearly signals use for partially-filled grids, which differentiates it from validate_full_sudoku_solution and from generation/solving siblings. However, it does not explicitly name alternatives or state when not to use this tool.

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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