Divisores Dubitationis
More from Dr Logic
- Kropki dots
- Parity lines
The brief
Normal Sudoku rules apply.
Digits along a green or purple 'divisor' line must satisfy the following: 'The line is read from one end. Each digit placed must wholly divide the sum of all the previous digits on the line.' (For example, 3-1-4 is valid as 1 divides 3 and 4 divides 3+1, but 3-1-8 is invalid, as 8 does not divide 3+1)
Digits cannot repeat on green lines, but may repeat on purple lines, if allowed by other rules.
Adjacent digits on a red 'parity' line must alternate in parity (odd/even).
Cells separated by a black dot have a 1:2 ratio, cells separated by a white dot are consecutive. Not all such dots are given.