10-in-9 Isolation Sudoku
(Eingestellt am 5. April 2020, 12:07 Uhr von Phistomefel)
This puzzle is a tribute to Nylimb. He wrote that he would enjoy solving a 10-in-9 puzzle that he did not create himself. Since I very much enjoy his 10-in-9 puzzles, I wanted to create one for him, but with a little twist.
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.
Lösungscode: 5th and 8th row. Include both digits of 2-digit numbers.
Zuletzt geändert am 6. April 2020, 10:36 Uhr
Gelöst von ManuH, cdwg2000, Julianl, marcmees, zuzanina, rimodech, Nylimb, Circleconstant314, zorant, Mody, Ragna, Realshaggy, ch1983, sf2l, Ours brun, NikolaZ, Jesper, martica, Lara Croft, AnnaTh, matter, ffricke, harrison, Yohann
am 18. August 2020, 08:38 Uhr von ffricke
Beim ersten Versuch nur 3 Zahlen gefunden und weggelegt. Dann beim Weitermachen ging es sehr flüssig durch. Sehr schön !
am 6. April 2020, 09:08 Uhr von 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.
Zuletzt geändert am 5. April 2020, 22:47 Uhr
am 5. April 2020, 20:33 Uhr von marcmees
Nylimb is lucky to receive such a nice tribute puzzle.
am 5. April 2020, 19:29 Uhr von Phistomefel
Clarification of the isolation property
am 5. April 2020, 19:29 Uhr von Circleconstant314
@Phistomefel: So it's like your first isolation killer sudoku (ID: 00036E)! Now I understand, thank you!
am 5. April 2020, 19:26 Uhr von 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.
am 5. April 2020, 19:21 Uhr von 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?