Sudoku Variants Series (134) - Little Grey Cell Killer Sudoku
(Published on 21. June 2016, 00:00 by Richard)
Little Grey Cell Killer Sudoku
Inspiration for this puzzle can be found here: DSM 2016 (Stefan Heine).
Solve online in F-Puzzles (thx bbutrosghali!)
Place the digits from 1 to 9 in every row, column and 3x3-block. When two or more grey cells are placed on the same drawn diagonal line, these cells contain different digits that either form the highest (9+8+7+ ...) or the lowest (1+2+3+ ...) possible sum.
Solution code: Row 4, followed by column 4.
Comments
on 14. July 2022, 17:25 by Richard
Added link and tag for online solving. Thx bbutrosghali!
on 10. May 2021, 09:43 by bbutrosghali
https://f-puzzles.com/?id=yzc5qd7r
on 3. May 2020, 07:44 by Richard
@Circleconstant: yes, that's another way of saying this. Actually the instruction might be even better referring to renban groups. I simply took over the instructions from the German Sudoku Championship...
I am happy to see that you were able to solve the puzzle now!
on 2. May 2020, 21:02 by Circleconstant314
@Richard: So in other words, if a marked diagonal has more than two grey cells then all of those grey cells alongside that marked diagonal form a (possibly disconnected) renban region which must contain either a 1 or a 9. Got it!
on 2. May 2020, 20:00 by Richard
@Circlestant314: It refers to the highest or the lowest theoretical sum. Given the fact that digits in grey cells on the same diagonal may not repeat.
So the long diagonal top right to bottom left contains 7 grey cells. Those cells contain either the series 1-7 (lowest) or the series 3-9 (highest), without repetition.
This is regardless of the digits in R4C6 and R6C4. They don't play any role.
Hope this clarifies the rules enough.
Goodluck!
on 2. May 2020, 19:11 by Circleconstant314
What does "highest possible sum" and "lowest possible sum" mean, here? Does it refer to the maximum or minimum sums given the digits in the grid, or does it refer to the theoretical maximum or minimum?
EDIT: Additionally, if there are two or more disjoint groups of grey cells alongside a drawn diagonal, is it so that the non-repeating property applies to all of these cells within each group or alongside the whole drawn diagonal? For example, the leading diagonal from R1C1 to R9C9 has one group of grey cells in box 1, and one group of grey cells in boxes 5 and 9. Does this mean that, say, R5C5 can be the same digit as R2C2 since the grey cells are disconnected alongside the diagonal, or is it the case that R5C5 cannot be the same digit as R2C2?
on 27. April 2020, 13:13 by rob
Das Rätsel ist klasse, die Darstellung aber ziemlich verwirrend. Ich habe ständig falsch geschlossen wegen Weißfeldern mit Diagonalstrich.
Vielleicht würde es der Variante gut tun, wenn die Diagonalen nur in den grauen Zellen dargestellt wären? Oder Pfeile von außen? (Gar keine Diagonalstriche geht nicht, weil manche Diagonalen von Graufeldern ausgeschlossen werden müssen.)
on 28. February 2017, 13:41 by ohm0123
Good.
on 14. September 2016, 06:01 by Richard
@Eisbär: Yep, but in the list it's close to three. ;-)
on 13. September 2016, 23:11 by Eisbär
Only two stars?
on 22. June 2016, 13:41 by zuzanina
Oh, Mann, ich bin echt ein bisschen blöd... ;-)
on 21. June 2016, 19:57 by Richard
New image uploaded.
on 21. June 2016, 17:05 by marcmees
eens de instructies doorgedrongen, makkelijk op te lossen. Hij blijft wel mooi.
on 21. June 2016, 15:59 by zhergan
Hi Richard. Nice idea. This one is a different kind of renban sudoku, where renban groups are seperated along diagonals. Thanks :)
on 21. June 2016, 12:15 by Richard
There is a typo in the puzzle. R5C6 must be a 4 instead of a 7. The rest of the puzzle is correct. I will upload a new image tonight. Sorry for all inconveniences...
on 21. June 2016, 11:35 by Richard
I have created and tested it already weeks ago, so it isn't top of mind at the moment. I am not able to check the puzzle until the beginning of the evening, but I will do so as soon as possible.
on 21. June 2016, 07:43 by pin7guin
@zuzanina: Es ist kein Diagonal-Sudoku...
on 21. June 2016, 06:11 by Richard
@zuzanina: There is nothing written in the instructions about white cells on diagonals. They may contain any digit.
on 21. June 2016, 02:02 by zuzanina
So, wie ich die Regeln verstehe, müssten in den beiden weißen Zellen auf der zweiten Hauptdiagonalen die Ziffern 1+2 oder 8+9 stehen. Beides ist nicht möglich. Was verstehe ich falsch?
