XY-Differences VI, "Delimited Edition"
(Published on 4. February 2021, 20:09 by glum_hippo)
Standard Sudoku rules are in effect. That is, no repeats in row, column, nor 3x3 box. Killer cages may not contain repeat digits, and their contents sum to the indicated value, if shown.
Diamonds represent "XY-differences":
Black diamonds (between pairs of cages) indicate that the two neighboring CAGE SUMS have a difference equal to the digit in the leftmost (or topmost) digit in the row (or column) in which the diamond is located. Not all black diamonds are necessarily given.
White diamonds indicate that the two neighboring CELLS have a difference equal to the digit in the leftmost (or topmost) digit in the row (or column) in which the diamond is located. Within any single cage, all white diamonds are shown (i.e., negative constraint applies, but not outside cages nor between cells in different cages).
F-puzzles link for the 6x6 example.
| Example | Solution |
F-puzzles link for the 9x9 puzzle. Also in penpa.
Note that there are two given cage sums. They are easy to overlook.
Solution code: Row 5, then column 8 (18 digits total)
Comments
on 7. December 2023, 01:30 by glum_hippo
Thanks for working on this, dumediat and Myxo. Certainly a deep cut, which I've always been quite proud of. The rule set is a bit circuitous but, I hope, justified.
on 7. December 2023, 01:16 by dumediat
Difficult and rewarding, thank you!
on 7. December 2023, 01:16 by Myxo
This was crazy! Beautiful puzzle :)
on 20. January 2022, 02:31 by Mark Sweep
Very nice! Smooth solve path, which I found easier than the 5 star difficulty rating suggests.
[Reply] I am probably biased, but I think switching between the constraints is harder than understanding the logic. Thanks for solving and for your comment, Mark!
on 17. November 2021, 17:10 by abed hawila
Wonderful puzzle! Tricky but rewarding. Thanks glum_hippo ;)
on 14. September 2021, 16:46 by glum_hippo
added online solving tool tag
on 31. July 2021, 15:59 by ffricke
Zuerst hab ich lange nicht gewusst, wie hier der Anfang ist. Aber dann zeigte er sich und danach war es wieder ein Genuss, dem Pfad der Lösung zu folgen.
on 6. February 2021, 23:26 by Statistica
Ganz klasse. Hat Spaß gemacht!
on 6. February 2021, 21:55 by marcmees
nice solution path. worth more solvers. thanks.
on 5. February 2021, 14:53 by polar
Really enjoyed this puzzle! Narrow but clear logical path too. Thanks.
Penpa+ link for anyone else who finds it easier to keep track of cage totals: https://git.io/Jtg72
— Thanks for the link and your comment, I have updated the puzzle to include penpa with answer checking. -g_h
on 5. February 2021, 09:27 by bigger
Nice
