10-in-9 Isolation Sudoku
(Published on 5. April 2020, 12:07 by Phistomefel)
Parts of the following desciption are copied from Nylimb.
This is a variant of a killer sudoku, in which some cells contain 2-digit numbers.
Fill the grid with 1-digit and 2-digit numbers, so that every row, column, and 3x3 box contains each of the 10 digits, from 0 to 9, exactly once: Eight cells contain 1-digit numbers, and the other cell contains a 2-digit number (from 10 to 98).
The areas surrounded by a dashed line are called cages. If a cage has a number in the top left corner, it is the sum of the numbers in this cage. If a 2-digit number appears in a cage without a number in the top left corner, its tens digit is greater than its ones digit. No digit can occur more than once in a cage, whether it's alone in a cell or part of a 2-digit number.
Additionally, all identical digits have to be isolated. This means that a digit within a cage may not appear in any adjacent cage. This applies to single digits as well as to those who are part of a 2-digit number. Cages are adjacent, if they share a common edge - touches via corners do not count.
The puzzle is also available online via f-puzzles. Have fun solving!
Solution code: 5th and 8th row. Include both digits of 2-digit numbers.
Comments
on 21. April 2022, 12:13 by Prutsbeest
Wow, what an absolute monster this puzzle is. I had broken it a couple of times by making naive deductions but in the end I succeeded :-) very rewarding and an absolutely beautiful puzzle!
on 1. November 2021, 18:25 by dissonance
What a crazy puzzle !
I can't believe you managed to create a beast like this,congratulations.
I was confused at the start with this rule :
"If a 2-digit number appears in a cage without a number in the top left corner, its tens digit is greater than its ones digit."
I tried to understand how it
could be helpful for solving this puzzle, until I realized you probably just copied and pasted Nylimb's rules...
Great puzzle, thanks for sharing.
on 21. August 2021, 18:53 by Phistomefel
Added tag "Online solving tool".
on 15. May 2021, 09:00 by Vebby
Link to solve on Penpa Plus: https://git.io/JsZV5. Found it easier to work with 2-digit numbers on Penpa Plus versus f-puzzles due to the 'Number' mode. To activate solution check in the given link, enter 2-digits numbers in either Number mode (Normal/L/M/S) or Sudoku mode (Centre). Numbers placed using Number mode must be in Blue, Green or Red colour to activate solution check.
on 16. December 2020, 21:01 by Phistomefel
Added link to F-Puzzles
on 18. August 2020, 08:38 by ffricke
Beim ersten Versuch nur 3 Zahlen gefunden und weggelegt. Dann beim Weitermachen ging es sehr flüssig durch. Sehr schön !
on 6. April 2020, 09:08 by Nylimb
@Phistomefel: Thanks for the puzzle!
I should be careful what I wish for: This took me a few hours to solve, and I suspect that I missed some clever logic that would have reduced my solving time.
on 5. April 2020, 20:33 by marcmees
Nylimb is lucky to receive such a nice tribute puzzle.
on 5. April 2020, 19:29 by Phistomefel
Clarification of the isolation property
on 5. April 2020, 19:29 by Circleconstant314
@Phistomefel: So it's like your first isolation killer sudoku (ID: 00036E)! Now I understand, thank you!
on 5. April 2020, 19:26 by Phistomefel
@Circleconstant314: Thanks for pointing out this imprecision. What I meant was: if two cages share a common edge, they must not contain even one common digit.
on 5. April 2020, 19:21 by Circleconstant314
If a cage has more than two adjacent cages, can a digit appearing in the cage appear in more than one adjacent cage? Or is it such that the digit can still only appear in at most one adjacent cage?
