Double? Or Nothing?
(Published on 6. August 2023, 06:07 by 3good5you)
Rules:
Regular sudoku rules apply.
Values in killer cages add to the total in the top left corner of the cage. Digits do not repeat in a cage, but values may.
One cell that counts as a doubler and one cell that counts as a zeroer exist(s) in every row, column, and 3x3 box. For the purposes of killer cages, a doubler multiplies its cell's value by 2, and a zeroer multiplies its cell's value by 0. Doubler and zeroer cells each form a complete set of the digits 1-9.
Solve online:
Mild hint for those who seem to reach an early contradiction: One doubler and one zeroer exist in every row, column, and 3x3 box, but there's no reason they can't overlap.
Solution code: Row 5 (left to right, 9 digits, no spaces)
Comments
on 10. August 2023, 07:29 by bodemeister
Masterful puzzle with interesting logic throughout. I highly recommend. The main difficulty for me was having to constantly ask Is there a doubler? Is there a negator? Are there both? Do they occupy the same cell? But those are the exact questions puzzle solvers like to ask. Thanks for puzzle!
Reply: Thank you for the kind words!
on 8. August 2023, 19:07 by Suspicious Door
Quite a devious puzzle but a rewarding solve, I would highly recommend it if you're up for a challenge.
Reply: Congrats, and thank you!
on 8. August 2023, 07:03 by keaizhu
Thank you very much for your reply, your supplementary conditions are necessary to reduce the confusion of the players. Puzzle is very good, the idea is very clever. I wonder how you made it!
Reply: That's great to hear!
on 7. August 2023, 17:07 by giladooshlon
Brutal from start to finish! Very satisfied to have completed it. Thank you!
Reply: Congrats, and you're welcome!
on 6. August 2023, 17:54 by ymhsbmbesitwf
it's a monster, but it can be slain with perseverance
Reply: Congratulations!
on 6. August 2023, 17:15 by 3good5you
Ruleset wording improvement
on 6. August 2023, 17:02 by 3good5you
Added mild hint for clarification.
on 6. August 2023, 16:22 by keaizhu
Excuse me, make sure that “One cell that counts as a doubler and one cell that counted as a zeroer exist in every row, column, and 3x3 box ”is correct?
Reply: Hello! It is accurate as worded, though perhaps not as interpreted, if that helps.
