Cracked
(Published on 20. April 2021, 01:54 by abed hawila)
This puzzle is a hybrid between RockyRoer's puzzle Crack the Cages and my puzzle Cracked Sandwich . However, the sandwich crusts are not necessarily 1 and 9.
Puzzle Rules:
Normal Sudoku rules apply.
Clues outside rows/columns are Cracked Sandwich clues. In a row/column with a cracked sandwich clue, you must determine two crust cells and crack (split) the cells between the crust cells into two separate orthogonally connected regions; the numbers in one region must sum to the cracked sandwich clue and the numbers in the other region must multiply to the cracked sandwich clue. The crust cells can contain any digit, not just 1 or 9. A row/column cannot contain more than two-crust cells, including crust cells of other rows/columns; in other words, if a cell’s row and column both have cracked sandwich clues, then the cell will either be a crust cell for both its row and column or not be a crust cell for either row or column.
Every killer cage must be cracked (split) into two separate orthogonally connected regions such that the numbers in one region will sum to the cage total while the numbers in the other region will multiply to the cage total. Numbers may not repeat in a cage.
I hope the rules are clear and understandable.
Your comments and feedback are always welcomed and appreciated.
Here is an example: The 15 clue is cracked into two regions 3 x 5 x 1 = 15 and 2 + 6 + 7 = 15. The 21 cage is cracked into two regions 3 x 7 = 21 and 9 + 8 + 4 = 21.
Here is the puzzle
Enjoy!
Solution code: Column 5 Row 9, 18 digits no commas or spaces
Comments
on 6. March 2023, 05:31 by Playmaker6174
Super interesting and engaging solve path! I personally found this one quite harder than 3/5, but every major step was a great joy to me. I really hope this one will get more solves :)
on 18. November 2022, 20:33 by Al Fresco
Interesting logic. Very nice
on 19. May 2022, 23:12 by Piatato
Interesting puzzle! I hope it gets rated.
on 16. January 2022, 13:23 by PrimeWeasel
Once I read the rules thoroughly I got there in smooth fashion. All the fumbling I had done before a proper reading was utterly hopeless. Highly recommended, a very nice solve.
on 7. August 2021, 13:49 by uvo_mod
Labels angepasst: Online Solving Tool ergänzt, Variantenkombination statt Rätselvariante, Englisch entfernt, Sandwich und Killer (Varianten) ergänzt.
on 20. July 2021, 21:40 by Tom1i
Agree 100% with @Vebby. This puzzle deserves a lot more solves. Thank you @abed hawila.
on 19. June 2021, 12:12 by abed hawila
Clarified puzzle rules.
on 19. June 2021, 02:17 by Vebby
Very nice! Super interesting variant. Deserves more solvers!
on 3. June 2021, 07:45 by Mody
Super konstruiert und wunderschön, wie sich nach und nach alles ergeben hat.
Nicely constructed and beautiful how everything gradually came together.
Thank you very much, glad to hear that you liked it and had good time solving it after being buried for this long time ;)
on 2. June 2021, 17:16 by Mody
Danke, das macht es etwas einfacher ;)
Thanks, that makes it a bit easier ;)
on 2. June 2021, 16:25 by Mody
Eine Frage:
Wenn ich beispielsweise in Zeile 1 das dritte und letzte Feld schattiert habe, sind diese beiden Felder auch für Spalte 3 und Spalte 9 ein schattiertes Feld?
One question:
For example, if I have shaded the third and last field in row 1, are these two fields also a shaded field for column 3 and column 9?
Reply: Yes indeed, for instance in the provided example if you have a clue above column 9, then r1c9 is the first shaded cell.
