Nabner Region Sums
(Published on 4. September 2023, 20:08 by gdc)
This puzzle combines the ruleset from Run-on-nabner with region sum lines.
- Normal sudoku rules apply.
- The sum of the digits on a line are the same in every 3 by 3 box the line passes through. If a line passes through the same box more than once, each instance is summed separately.
- In any 4 cell sequence of a line, digits must have a difference of at least 2 to every other digit on the squence. The digits on the 2 cell line are not consecutive.
Rules Clarification
The "difference" rule means that the lines act as overlapping 4 cell nabner lines. An example of a valid fill would be 1479257. The 4 cell sequences are 1479, 4792, 7925 and 9257. Each of those sequences contains no repeats (difference 0) and no consecutive digits (difference 1). Another way to think about this is that if 5 is on the line the next 3 cells and the previous 3 cells on the line cannot contain the digits 4,5 and 6.
Thanks
Solution code: Row 3 (9 digits)
Comments
on 5. September 2023, 14:51 by gdc
@vorash00: Yes, there are some parts of the puzzle where you have to be very diligent. Especially on the long line. I considered simplifying this part but eventually decided to stick to the minimalism partly because the click to solve ratio of "run-on-nabner" was already pretty good, so most perople who didn't get scared by the ruleset solved it :). Glad you liked it!
on 5. September 2023, 07:57 by vorash00
that was really good! I got slightly stuck for a bit in the middle but only because I'd just done some tidying up and some sudoku then went back to looking at the lines logic and was considering the region sum aspect and forgetting to eliminate options due to the nabner constraint. Once I combined those 2 pieces of logic it tumbled quite quickly. great fun loved it and I'm really liking the nabner lines in all puzzles I've not so far.
on 4. September 2023, 22:39 by WatermeRen
199th solve!
