Board Cell Checker Parity
Compute abstract checkerboard cell parity on nonnegative integer coordinates; does not assign chess color names.
Description
Compute abstract checkerboard cell parity on nonnegative integer coordinates; does not assign chess color names.
Alternating checkerboard classes can be represented by coordinate parity without assigning actual colors.
When to use this tool
Compute abstract checkerboard cell parity on nonnegative integer coordinates; does not assign chess color names.
- Prepare the supplied x, y fields for this operation.
- Compare the complete example with the representation used by your own input before carrying the result into another step.
How to use the tool and how it works
- Enter x, y. Use the exact text syntax, units and index conventions explained below.
- Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
- Read result.parity. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.
Require nonnegative integer x and y. Return (x+y) modulo two as parity.1
| Input field | Meaning and representation | Accepted input |
|---|---|---|
| x | x. | Integer from 0 to 1e9 inclusive |
| y | y. | Integer from 0 to 1e9 inclusive |
| Output field | Interpretation |
|---|---|
| result | Object containing the named outputs below. |
| result.parity | The parity value under the stated formula or text convention. |
{
"input": {
"x": 2,
"y": 3
},
"output": {
"result": {
"parity": 1
}
}
}Limitations and assumptions
- Zero and one are abstract classes, not named colors. No board dimensions or occupied cells are inspected.
- Every declared top-level field is required and unexpected fields are rejected. Numeric inputs must be finite; ordinary text fields are bounded to 8,192 UTF-16 code units, with tighter operation-specific limits where stated.
- Lists are limited to 128 entries. JSON text must meet bounded size and depth checks, and numeric outputs beyond the safe finite magnitude are rejected. Exact large integers use decimal strings.
- Indexes are zero-based and spans have an exclusive end unless explicitly stated otherwise. A valid false, null or empty-list result is distinct from malformed input.
Alternative or Complementary methods
Use a game-state-aware rules engine when occupancy, legal moves or scoring rules matter. These operations calculate coordinates, local geometry or supplied ledger totals without inferring a complete position.
References
Similar or alternative tools
- Board Captured Piece Ledger
Aggregate explicit captured-piece events by side and piece name; no inferred moves, scoring or game legality.
- Board Coordinate Mirror Tool
Mirror zero-based rectangular board cell coordinates across explicitly selected board centerlines; no piece-state transformation.