Hellseherische X-Sums (Sudoku)
(Published on 13. February 2025, 04:58 by glum_hippo)
Psychic X-Sums
Normal Sudoku rules apply. Each row, column, and 3x3 box contains the digits 1-9 exactly once each.
X-Sum rules apply. A clue outside the grid gives the sum of the first X digits in that row, whereby X is the digit closest to the clue.
Psychic X-Sum rules also apply. Replace every digit N with the digit found in box N in the same relative position (the boxes are counted top row to bottom row, from left to right). Now apply X-sum rules to the resulting grid, and the clues must still be correct. Note: the psychic version of the puzzle need not follow sudoku rules!
PSYCHIC RULES EXAMPLE: The grid on the right is the psychic version of the left one. R1C1 is a 1, so it remains a 1. R1C2 is a 2, so one looks in box 2 and finds, in the same relative position (R1C5), a 5. R8C7 (chosen arbitrarily) is a 5, so one looks in box 5 and finds an 8 at the same relative position, etc.
"Psychic X-Sums" in the SudokuPad-app.
Solution code: Column 5 from top to bottom (9 digits).
Comments
on 16. February 2025, 03:53 by glum_hippo
Many thanks to applesauce, Silverbyte, and Silverscree for sharing your thoughts
on 16. February 2025, 03:14 by Silverscree
This solved as if in a dream. I exited my trance and found a completed puzzle in front of me.
on 14. February 2025, 17:04 by Silverbyte
Very smooth puzzle. I would even say surprisingly approachable, since everything just kept being very natural the whole time through.
Amazing that this grid solves that way.
on 14. February 2025, 10:52 by applesauce
Simultaneously mind-bending and smooth. A lot of fun throughout. Thanks!
on 13. February 2025, 16:56 by glum_hippo
Thank you to SirWoezel, marc, Playma, bansalsaab, Mr_tn and mnasti for your kind comments.
on 13. February 2025, 16:47 by Mr_tn
Brilliant puzzle! Very, very nice!
on 13. February 2025, 16:26 by SirWoezel
Wonderful puzzle!
on 13. February 2025, 16:07 by Playmaker6174
Jaw-dropping setting and a well-crafted solve path! This puzzle deserves some of the highest praises I can give for, and this didn't even need extra givens to help at the end.
on 13. February 2025, 14:19 by marcmees
Brainwreckingly good. Thanks
on 13. February 2025, 14:06 by bansalsaab
This one was crazy good.
on 13. February 2025, 08:02 by mnasti2
Cool concept and fun solve!
on 13. February 2025, 05:03 by MattYDdraig
A phenomenal creation. The clues are so powerful but so complex to work with. Some fantastic logic and just an amazing feat of setting.
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Thanks for your feedback and for testing, I'm delighted that you enjoyed it.
