Don't open the box
(Published on 4. July 2024, 15:05 by sanabas)
Normal Schrodinger Sudoku rules apply: Fill the grid with the digits 0-9 such that no digit repeats in a row, column, or box.
S-cells: in each row, column, and box there is exactly one S-cell, S-cells contain two digits instead of one, and their value for the purpose of other clues is the sum of those digits.
Schrodinger boxes: Every S-cell is a box, and every box is an S-cell.
The first box has been placed in the centre of the puzzle, it is up to the solver to place the remaining boxes. These boxes may not be opened, and so they simultaneously satisfy two different rules:
First, every box has an even value.
Second, every digit N in a box appears N times in boxes.
Killer cages: Digits do not repeat in cages (though values may repeat) and values sum to the total in the top left corner of each cage.
Renbans: Each purple line contains a set of consecutive values with no repeats.
Nabners: No two values on a gold line can be consecutive or equal. e.g. If one cell on a gold line has the value 5, then no other cell on that line can have the values 4, 5 or 6.
Kropki: Values in cells separated by a white dot are consecutive. Values in cells separated by a black dot have a 2:1 ratio. Not all dots are necessarily given.
Sudokupad link
Good luck!
I am extremely new to constructing, so all attempts, comments, feedback on my puzzles are very welcome.
My previous puzzles:
Austrian Whispers
Schrodingerenban
Solution code: Row 9
Comments
on 13. July 2024, 09:40 by bodemeister
Phenomenal puzzle! Loved every minute of it! Excellent setting, interesting logic, and every clue gave just the perfect amount of information. Thanks!
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Thank you. sorry I missed your clarification question, I was offline the past couple of days. For this one, and for the other two with similar rules, digits may repeat on a renban, it's only values that matter.
Glad you enjoyed the puzzle.
on 7. July 2024, 16:33 by Snookerfan
Brilliant puzzle! Thank you
on 5. July 2024, 08:25 by rameshsrivats
Terrific puzzle. Hard but very satisfying.
on 5. July 2024, 03:54 by sanabas
Removed a superfluous clue
on 4. July 2024, 18:44 by OutOfMyMindBRB
Loved it! Keep up the good work!
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thanks
on 4. July 2024, 17:29 by bansalsaab
Loving your puzzles. Hopefully you get more solves on this one. I didnt find it 5* hard. Hopefully I didnt make a wrong deduction. Lol.
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thanks. After the comments on the first two, I figured I was probably underestimating the difficulty. So thought I'd err the other way on this one if I was going to get it wrong. Wasn't sure how tough people would find working out the location & the contents of boxes.
I think probably I should test these a little more thoroughly before I post them. Clues added at the end for disambiguation sometimes turn out to be helpful earlier in the solve too. I've just retested a theory about this one that I was thinking about while trying to sleep last night, and there is another change I can make which will make it a little tougher, as one clue turns out to be superfluous.
OK, I like the way it looks & solves a little better this way. Change made.
