Vertical Sums to 9
- Kropki dots
- Renban lines
- Negative constraint
The brief
Every row and column must have all digits from 1 through 9, without repeats. THERE ARE NO 3x3 BOXES IN THIS PUZZLE. VERTICAL SUMS- IF ALL CASES OF THE 9 ARE SKIPPED / NOT CONSIDERED IN THE COUNTING, numbers an equal distance from the top and bottom of each column sum to 9. KROPKI PAIRS- Numbers with a white dot between them are consecutive. ALL possible white dots between VERTICAL neighbors are given. Numbers with a black dot between them are in a ratio of 2:1. ALL possible black dots between HORIZONTAL neighbors are given. RENBAN LINE- Numbers on the purple line are a set of non-repeating, consecutive numbers, in any order.