Schrödinger's Funhouse
(Published on 8. January 2024, 03:35 by goodkat2010)
This puzzle was inspired by one of Simons remarks when he solved Schrödingers Zipperlein. I saw gdc put a puzzle up inspired by the same quote about negative digits. Definitely try his out as well here
- Normal Schrödinger rules apply. Place the digits 0-9 into cells such that each digit appears once in every row, column, and box. To accommodate this, one cell in each row, column, and box is a Schrödinger cell, which contains two digits.
- Negative Schrödinger Digit: One (and only one) of the digits 1-9 in a Schrödinger cell is treated as the negative of that digit for any clues in the grid. A digit may only be a negative Schrödinger digit once in the grid and the negative Schrödinger digit must not be zero. (i.e. If the digit 5 is used as a negative Schrödinger digit, it cannot be used in another Schrödinger cell as the negative digit; though it could still be the positive Schrödinger digit)
- Thermo: Along a thermometer, digits must increase from the bulb end. Schrödinger cells on a thermometer are viewed as the sum of the two digits and can be negative.
- Killer Positive/Negative: Digits cannot repeat in a cage (including the negative Schrödinger digit) and must sum to the number in the cage's top left corner. The sums of red-colored cages should be treated as a negative number (i.e. a red cage with a 2 sum would be viewed as -2).
- Fog of War: The grid is covered in fog and placing the correct digits in the fog will reveal the surrounding cells.
Play on SudokuPad
Acknowledgements
Thanks to the CtC fan discord for testing and feedback.
Solution code: Box 9 moving in the order of positions in the box. For the Schrödinger cell, list the negative digit first. Only write digits, do not include a negative sign (-).
Last changed on on 8. January 2024, 13:04
Solved by gdc, kublai, LehanLehan, SKORP17, jseng, Knorkyy, samuel1997, Lozzo, AdamPI, KyubiBoy, vollbesonderbar, tome_coelho, sorryimLate, starelev5, Sliark
Comments
on 11. January 2024, 03:18 by sorryimLate
Very good and fair!
on 8. January 2024, 19:28 by samuel1997
This is much harder than I expected! Very enjoyable though!
on 8. January 2024, 13:04 by goodkat2010
Just dropping the difficulty tag one level after some thought.
on 8. January 2024, 04:40 by gdc
So funny we uploaded those puzzles basically back to back. Very nice take on the S-cell/fog genre which I hope will expand more. Really liked the difficulty-pacing here with some nice introduction-level deductions at the start, a steady ramp up and then a smooth finish. Good luck with your future setting. The force is strong with this one.