Balanced Sudoku #04: Absolute Value
(Published on 14. December 2024, 01:47 by Nell Gwyn)
- Balanced Sudoku: Place the numbers -4 to 4 once each in every row, column, and 3x3 box.
- Between or Double: Each line with circles on the end is either a Between Line (meaning, the numbers on the line must be strictly between the numbers on the circles) OR a Double Arrow (meaning, the numbers on the line must have the same sum as the numbers in the circles), but cannot be both.
- Region Sum lines: Box borders divide each blue line into segments. For each blue line, all of its segments must have the same sum (different lines may have different sums).
- Zipper lines: On a purple line, each pair of numbers equidistant from the center dot must sum to the number in that dot.
- Ten Lines: Each gray line must be divided into one or more non-overlapping groups of numbers that sum to (positive) ten.
- (Partial) Kropki: Cells separated by a white dot are consecutive, cells separated by a black dot have a 1:2 ratio. Not all dots are given.
SudokuPad (for the answer check, enter the absolute value of each digit)
Penpa (no solution check included)
Solution code: Row 3, with minus signs (-) in front of negative numbers (e.g. -1-3210-44-23).
Comments
on 22. July 2025, 02:43 by MathGuy_12
Great puzzle! I ended up using 1-9 for digits for the break-in to help wrap my head around it and for notation purposes, and then I subtracted 5 halfway through. Had to do some extra math to keep everything straight but worked out better for me.
Lots of extremely fun ideas within the puzzle tho! Never felt unfair
on 5. March 2025, 12:41 by Dester
I have never been more confused while solving a puzzle! Took me a while to wrap my head around the balanced rule. Brilliant from start to finish, more people need to see this.
on 16. December 2024, 18:38 by karlmortenlunna
Very nice puzzle Nell!
on 16. December 2024, 15:22 by lmdemasi
Fantastic puzzle Nell!
on 14. December 2024, 15:06 by Briks
I confess I did cheat to get a start, I just didn't want to spend too much time trying. Don't know if I would have seen a break in after a longer while. But then it was quite a challenging and nice experience.
