10-in-9 killer sudoku #3
(Eingestellt am 11. Februar 2020, 22:35 Uhr von 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).
In each cage indicated by the dotted lines, the number at the top left is the sum of the numbers in the cage. Also, no digit can occur more than once in a cage, whether it's alone in a cell or part of a 2-digit number.
In my previous puzzles of this type, there were some cages whose sums were so large that they must contain a 2-digit number, or so small that they could only contain 1-digit numbers. This puzzle has no such cages; no single cage gives any information about where the 2-digit numbers are located. Nevertheless, there is a logical path to the solution.
I think this puzzle is harder to solve than either 10-in-9 killer sudoku #1 or 10-in-9 killer sudoku #2. It was certainly harder to create.
The puzzle is available on Penpa.
Lösungscode: Row 2 and column 2. Include both digits of the 2-digit numbers.
Kommentare
am 26. November 2023, 22:57 Uhr von Playmaker6174
Absolutely amazing setting! Everything just clicks together in such a wonderful and satisfying way ;)
am 26. November 2023, 22:55 Uhr von Myxo
Wonderful puzzle, absolutely loved this :)
am 14. Januar 2023, 16:26 Uhr von peacherwu2
Simon would love the deductions. I got lucky at my 2nd shot. Amazing puzzle!
am 10. Juni 2022, 19:38 Uhr von Vebby
Amazing construction! Very satisfying to solve.
am 29. Dezember 2021, 11:28 Uhr von PixelPlucker
This has been a fascinating series. Thanks! :)
am 6. November 2021, 07:50 Uhr von dissonance
Very hard puzzle and great execution.
Nicely done, thanks for sharing.
am 21. Oktober 2020, 20:47 Uhr von Nylimb
The 10-in-9 tag disappeared from several of my puzzles, so I'm adding it again.
am 12. Oktober 2020, 20:36 Uhr von Nylimb
Fixed penpa link.
am 12. Oktober 2020, 20:35 Uhr von Nylimb
Added penpa link.
am 12. Juni 2020, 13:14 Uhr von Nylimb
I'm trying to add all relevant tags to my puzzles. There are 4 tags for killer sudokus, so I've added all of them.
am 8. April 2020, 06:53 Uhr von Nylimb
Added 10-in-9 tag.
am 5. März 2020, 19:34 Uhr von AnnaTh
Soo much fun! Thank you.
am 13. Februar 2020, 16:49 Uhr von Nylimb
@jessica6: In your second paragraph you listed 10 and 19 as possibilities, and your 0+2 reasoning makes 10 impossible. But 19 is possible.
am 12. Februar 2020, 22:15 Uhr von Realshaggy
Amazing!
am 12. Februar 2020, 09:32 Uhr von cdwg2000
Thanks.So crazy puzzle! The design is very clever!It has a unique set of solutions, and at the same time, the logical path to solve the problem is unique!
