Rally Through the Mist
(Published on 26. November 2025, 18:09 by googuee)
Normal 9x9 Sudoku: Place the digits 1-9 exactly once in every row, column, and 3x3 box.
Renban Lines: Purple lines in the grid are Renban lines. Digits on a line form a set of non-repeating, consecutive digits in any order.
Kropki Dots: Digits separated by a white dot are consecutive. Digits separated by a black dot have a 1:2 ratio, meaning one is exactly double the other. Not all dots are necessarily given.
X-Sums: Digits outside the grid indicate the sum of the first N digits, where N is the digit in the closest cell to the clue.
XV Sums: Digits separated by a V must sum to 5, and digits separated by an X must sum to 10. V and X are the Roman numerals for 5 and 10, respectively.
Minimum: Gray cells with arrows pointing inward must be smaller than all other cells that share an edge. You can think of the arrows like less-than signs, where the cell is less than the neighbors where a less-than sign appears.
Maximum: Gray cells with arrows pointing outward must be larger than all other cells that share an edge. You can think of the arrows like greater-than signs, where the cell is greater than the neighbors where a greater-than sign appears.
Solve online at this SudokuPad link.
Check my other puzzles here.
Solution code: Row 9
Comments
on 29. November 2025, 00:21 by nunc
Lovely puzzle, fun idea! Thanks a lot for sharing it.
on 27. November 2025, 14:27 by faltenin
That was very original and fun. Like others, I thought I was stuck until I remembered the X-Sums...
on 27. November 2025, 10:27 by Killer-Ly
Haha, I thought I was the only one who forgot about the X-sums. When stuck and I asked myself how this could actually be a 1* puzzle, I remembered the X-sums and finished it within 2 minutes.
Thank you for this lovely puzzle!
on 27. November 2025, 00:30 by dzamie
Nyoom...
That was fun! I kept forgetting about the X-sums, though. I would recommend to other solvers to not do that.
on 26. November 2025, 19:43 by thomamas
Fun and very clever use of the X-Sums constraints.
on 26. November 2025, 19:29 by Mozart40
Has the traffic light (?) in box 7 any function?
I was able to answer the question myself. No, the traffic light has no function. Otherwise, a great puzzle with interesting interaction between Renban and X-Sum.
