Open Rules

Same Class

All marked digits belong to the same stated class: parity, remainder or alphabet third.

Parameters

Parameter Meaning Default
classes The digit classes to use: parity, remainder or alphabet thirds. Required.
cells The marked cells, for example r1c1-r1c2-r2c2. Required.

Maths

Class: first-order.

The shared predicates define the notation and every named predicate.

(classes!="entropy" ∨ (|𝔄|>0 ∧ |𝔄| mod 3=0)) ∧ ∃k∈classIds(classes): ∀c∈cells: digitClass(classes,D(c))=k

Every digit in cells belongs to one common class named by classes.

Example

---
format: open-rules
title: Same Class example
setter: Example
source: ""
case: ""
library: https://rules.sudoku-sleuth.com/
status: read
---

```rules
sudoku 9x9
same-class r1c1-r1c2 classes "parity"
```

Satisfies the rule: r1c1=1, r1c2=3. Both marked digits have odd parity.

Breaks the rule: r1c1=1, r1c2=2. The marked digits have different parity.