Modular Mirror
(Published on 3. October 2023, 11:52 by RockyRoer)
The Rules:
- Normal sudoku rules apply. In addition, numbers along the marked diagonal must be a set of the digits from 1 to 9.
- [Modular Mirror] Every cell's value mod 3 is the same as the cell reflected across the marked diagonal. That is, if R2C5 is 7, then R5C2 must be either 1, 4, or 7.
- [Killer] Numbers in killer cages cannot repeat and sum to the given total.
- [Kropki] Numbers separated by a white dot are consecutive. Numbers separated by a black dot are in a 2:1 ratio. Not all dots are necessarily given.
The Puzzle:
Try it on CTC's Sudoku Pad (hint, switch to the red/green/blue coloring palette). There's a link to the puzzle in Sudoku Maker as a hidden comment for those who are interested (but its solver is powerful enough to solve it so hidden for spoiler's sake...)
Solution code: Row 6
Comments
on 4. October 2023, 15:22 by samuel1997
The break in is awesome! And there are some strange but interesting logic in it. Very good setting! Thank you.
on 4. October 2023, 10:15 by Snookerfan
Great puzzle! Thank you
on 4. October 2023, 02:42 by cam
That was fantastic! I got really stuck there at the end. Usually with these brute-force-built puzzles the logic isn't interesting after the break-in is found. But in this case the thing I was missing required quite an interesting piece of logic. Everything felt intentional and the solve was exceptionally entertaining. Thanks :)
Reply: Glad you enjoyed it. I should clarify, that while this was made using SudokuMaker - it was definitely a hand-crafted puzzle and not just brute forced. I started off setting on paper for the first bits, and eventually after breaking it over and over again, I discovered that far fewer clues were actually needed than I had placed. SudokuMaker was helpful because I actually COULD create something that would test for uniqueness/brokenness even though the rule was kinda weird and custom. That allowed me to discover which clues that I had placed were actually breaking things. That's very helpful. So here's hoping this will get the word out about this useful tool.
I bet you could implement your lucky charms or princess rules quite nicely with a little coding.
on 4. October 2023, 01:08 by yuanbangod
good
on 3. October 2023, 13:27 by Pingu
Awesome puzzle. :)
