Product Cage
Multiplying the cage digits gives the stated product. The distinct parameter forbids repeats.
Parameters
| Parameter | Meaning | Default |
|---|---|---|
| cells | The marked cells, for example r1c1-r1c2-r2c2. | Required. |
| product | The total obtained by multiplying the digits. | Required. |
| distinct | Whether repeated digits are forbidden. | Required. |
Maths
Class: with aggregates.
The shared predicates define the notation and every named predicate.
product_D(cells)=product ∧ (distinct → distinct_D(cells))
The cage digits multiply to product. If distinct, the digits also differ.
Example
---
format: open-rules
title: Product Cage example
setter: Example
source: ""
case: ""
library: https://rules.sudoku-sleuth.com/
status: read
---
```rules
sudoku 9x9
product-cage r1c1-r1c2 product 6 distinct false
```
Satisfies the rule: r1c1=2, r1c2=3. 2 times 3 equals 6.
Breaks the rule: r1c1=2, r1c2=4. 2 times 4 equals 8 instead of 6.