Cage Pair
The totals of the two cages obey the stated relationship.
Parameters
| Parameter | Meaning | Default |
|---|---|---|
| relation | The relationship to enforce: its operation and any required value, for example {"op":"difference","value":1}. | Required. |
| cages | The cells in each cage and its expression or relation, as stated in the definition. | Required. |
Maths
Class: with aggregates.
The shared predicates define the notation and every named predicate.
|cages|=2 ∧ pairRelation(relation,sum_D(cages[0]),sum_D(cages[1]))
The supplied relation holds between the two cage digit totals. Repeat policy belongs to separate cage rules.
The shift relation is defined for integer values.
Example
---
format: open-rules
title: Cage Pair example
setter: Example
source: ""
case: ""
library: https://rules.sudoku-sleuth.com/
status: read
---
```rules
sudoku 9x9
cage-pair cages [["r1c1"],["r1c2"]] relation {"op":"difference","value":1}
```
Satisfies the rule: r1c2=2, r1c1=1. The two cage totals have the stated difference.
Breaks the rule: r1c2=3, r1c1=1. Their totals have a different difference.