Open Rules

Mean Lines

Every listed line has the same average digit.

Parameters

Parameter Meaning Default
lines The cells in each line, in order. Required.

Maths

Class: with aggregates.

The shared predicates define the notation and every named predicate.

∀A,B ∈ lines: |B| × sum_D(A) = |A| × sum_D(B)

Every listed line has the same average digit. Each line contains at least one cell.

Example

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

```rules
sudoku 9x9
mean-lines lines [["r1c1","r1c2"],["r1c3"]]
```

Satisfies the rule: r1c3=2, r1c1=1, r1c2=3. Both lines have average 2.

Breaks the rule: r1c3=3, r1c1=1, r1c2=3. The second line has average 3 instead of 2.