Killer Pentuplet, Little Twins, Little Squares & Odd Knights
(Published on 23. August 2020, 00:00 by SudokuExplorer)
In this sudoku, all odd numbers satisfy the anti-knight constraint. That is, no two odd numbers a knight's move away can be equal.
Rules about Killer Pentuplet Cage:
In a killer pentuplet cage, each digit appears exactly 5 times within the cage.
No two cells a knight's move away, within the cage, can be equal (Anti-knight constraint within the pentuplet cage).
Its cage sum is the total of all the digits in the cage.
In this sudoku, the large cage with cage sum 55 is a killer pentuplet cage.
Rules about Normal Killer Cage:
In a normal killer cage, no digit repeats within the cage.
Its cage sum is the total of all the digits in the cage.
In this sudoku, the small cage with cage sum 24 is a normal killer cage.
Rules about little arrow clues:
These little arrows around the sudoku point in a given diagonal direction, and provide information about the cells on that diagonal. The numbers A and B are square numbers (1, 4, 9, 16, 25, ...) to be determined during the solve.
Numeric Little Killer Clue: The sum of all cells (not necessarily distinct) on that diagonal is a square number (A or B).
Little Twin Clue: Each digit in that diagonal appears exactly twice on that diagonal.
You can try this on Penpa+. Have fun solving!
Solution code: Enter the first row, followed by the square numbers A and B. (For example 123456789AB)
Comments
on 3. November 2021, 20:15 by SudokuExplorer
@Vebby: Thanks a lot for giving this series a go! I'm really pleased you enjoyed the logic over here and in the mystery triplets sudoku. They were a lot of fun to set too! :-)
on 3. November 2021, 16:41 by Vebby
Brilliant puzzle! Thanks SudokuExplorer! :)
on 31. July 2021, 20:36 by SudokuExplorer
Fixed labels/tags
on 8. December 2020, 18:32 by SudokuExplorer
Thanks @Storm for giving it a go and for your lovely feedback. I'm really pleased you enjoyed it :-)
on 7. December 2020, 19:48 by Storm
Incredible puzzle! I loved working out the structure of the pentuplet cage, and the remaining constraints work so well too!
on 7. December 2020, 17:36 by SudokuExplorer
@CountSudokula: Thanks a lot for your feedback and for giving it a go. I'm thrilled you enjoyed solving it with the right balance of difficulty. :-)
on 7. December 2020, 05:34 by CountSudokula
Wow! Spectacular puzzle. Challenging, fun to solve. Well done!
on 11. November 2020, 03:05 by Dina
Very nicely set puzzle, with all constraints working very well together. After reading Bosjo's comment in your recent puzzle, I had to try it. So glad that I did!
on 30. August 2020, 00:05 by SudokuExplorer
Thanks bosjo! I'm glad this was a fun challenge for you. My first draft did not have any little killer square clues, but I tried to challenge myself to include it in a 9x9 puzzle. I agree that this is probably the best one out of the series. I usually struggle with the more traditional (little) killer sudokus, which is why I've made these more structure-based killer sudokus.
If you like "structure" puzzles, you might like my second queendom sudoku (id=0003UA), Thorsby's Turtle Sudoku 9s and 8s (id=000442) or even meowzz's Confetti sudoku (id=00047J) [and challenge yourself by ignoring the two zero clues and the 13 clue].
on 29. August 2020, 12:25 by bosjo
Great puzzle, probably the best in the series (at least of the ones I have tried). The pentuplet had far less rigid structure than the triplets, and therefore made for a more complicated solve. And (some of) the letters stayed in the grid till the very final moment; I like that!
on 25. August 2020, 16:59 by SudokuExplorer
Changed solving link to latest version of Penpa-Edit
on 24. August 2020, 20:57 by SudokuExplorer
@marcmees Thanks! I'm glad you enjoyed each of them :-)
on 24. August 2020, 09:43 by marcmees
fantastic puzzle. thanks for the great series.
