-45 Killer
(Eingestellt am 21. August 2020, 14:39 Uhr von Mesmer)
Rules: Normal Sudoku rules apply. Normal Killer rules apply (Numbers must not repeat inside the cages). In each row, column and 3x3 box there is a cell with a negative value. The negative value counts only for the cage sums, eg if a cage contains 123(-4), its value will be 2. Other than that the negative cells act like absolute values, which means a cage or a box cannot contain both -1 and 1. Each negative value must appear only once: there is only one -1, etc.
Edit: After some of your comments I have to clarify something that it was not very clear by the rules. A cage can contain more than one negative numbers.
For those who like to solve online (colouring could be helpful), I've set an f-puzzle that you can find here. BUT! Be aware that because of the negative constraint the check function will not work, so you will have a lot of cells marked as wrong. AND, the 1 in the Box 5 is -1.
Edit: After some of your comments I have to clarify something that it was not very clear by the rules. A cage can contain more that one negative numbers.
This is the hardest Sudoku I have set so far, so I hope you will enjoy the journey.
Lösungscode: [1st Row][1st Column] 18-digits, no gaps
Kommentare
am 20. Oktober 2021, 21:13 Uhr von Mesmer
@polar Thanks a lot for the comment and your time. I didn't expect to find a solution here, so long after the puzzle was uploaded. Thanks for the penpa set too. I appreciate it
am 16. Oktober 2021, 23:34 Uhr von polar
Stunning puzzle! I had to restart a couple of times but it was even more enjoyable the 2nd and 3rd time around. Thank you!
Penpa link: https://git.io/JKEfb
am 25. August 2020, 22:58 Uhr von Mesmer
Thanks to all for the kind comments and for giving my puzzle a second chance.
am 25. August 2020, 20:02 Uhr von udukos
Very well constructed puzzle with a narrow logical path.. had a lot of fun solving this
am 25. August 2020, 15:51 Uhr von ThrowngNinja
After the hint, I was able to solve it. I got stuck with the logic at the very end, but I was able to brute force it. Great puzzle overall
am 24. August 2020, 23:20 Uhr von Jesper
With the new hint concerning the rules, I managed to complete the solve as well. The strange thing is, I actually speculated during my first attempt whether another cage might have two negative numbers. But at the place where it mattered, I didn't consider this possibility at all. Great puzzle - interesting and very challenging.
am 24. August 2020, 22:20 Uhr von Mesmer
Thanks a lot for the solving, guys. I feel relieved. I thought I messed it up. Probably I should have made the rules more clear from the beginning.
am 24. August 2020, 21:56 Uhr von Statistica
Very nice logical path, but hard to find. Thanks a lot :-)
am 24. August 2020, 21:32 Uhr von Hareeb
I'm dumb. I didn't think it was restricted, but I never even considered it. Great puzzle afterall.
am 24. August 2020, 21:16 Uhr von Mesmer
A clarification in the rules
am 24. August 2020, 20:39 Uhr von Mesmer
Thank you all for the feedback. The truth is that because the break-in is kind of tricky, I took a week of testing the puzzle before posting it. And yet, I cannot be 100% sure that it doesn't somehow break.
Something I can say, that it is not forbidden by the rules as they are given, but it is also not clear, is that a cage can contain two or more negative numbers. Maybe that helps with the contradiction in box 3.
Thanks again for your solving time.
am 24. August 2020, 19:45 Uhr von Hareeb
Same as Jesper and ThrowingNinja. I couldn't place the necessary negative number in box 3 without it almost immediately breaking the puzzle.
am 24. August 2020, 19:23 Uhr von Jesper
@Mesmer: I gave it a serious attempt. I found the puzzle difficult but also very interesting. However, eventually I came to a point where I realized that I would not be able to get one negative occurrence each for 1-9, and despite searching a long time, I was not able to find where I made a mistake in the logic. So I had to give up. I don't know, maybe I will give it a second try in the future.
am 24. August 2020, 18:33 Uhr von ThrowngNinja
I worked on your puzzle for hours and hours but I couldn't solve it. I feel like I'm doing it correctly, but there is always a contradiction in the end and then I start all over
am 24. August 2020, 17:44 Uhr von Mesmer
I would like to ask if anyone has tried to solve my puzzle, because it is very rare for a puzzle to stay unsolved for so long. And I just want to know if there is something wrong with it and see if I can improve it.
Thanks in advance.
am 21. August 2020, 14:52 Uhr von Mesmer
Sudoku tag added
