Logic Masters Deutschland e.V.

XY-Differences III

(Published on 14. July 2020, 02:12 by glum_hippo)

I've once again taken up the "XY Differences" idea. The following puzzle was submitted for consideration by CtC and first released on the CtC discord server.

Normal Sudoku rules apply.

If there's a diamond between two horizontally adjacent cells, then the absolute value of their difference is the same as the first digit in that row.

If there's a diamond between two vertically adjacent cells, then the absolute value of their difference is the same as the first digit in that column. See example.

Take note! All possible diamonds are shown. That is, if no symbol is given, then the difference does not correspond to the first cell.

ExampleSolution

And here is the puzzle (also available on penpa, where a completed, correct solution now triggers an alert):

Solution code: Row 4, then column 6 (18 digits total)

Last changed on on 13. October 2022, 21:30

Solved by Jesper, Ours brun, Luigi, henrypijames, wenchang, davidagg, bakpao, japoorva, SirWoezel, Statistica, NikolaZ, zorant, ch1983, CilantroGamer, Richard, rcg, Willy Wonka, boredduck, risheek, dm_litv, Snowhare, polar, azalozni, PixelPlucker, ManuH, Uhu, PrimeWeasel, sisi59, mandourin, ffricke, Krokant, pandiani42, ibag, Realshaggy, moeve, Vebby, HolyFracker, misko, aaalexx, qw014052, juventino188
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Comments

on 5. August 2020, 16:43 by glum_hippo
Thanks @WillyWonka, and everyone else who took the time to leave a comment and/or rating! I'm happy with the logic of this one.

on 5. August 2020, 03:31 by Willy Wonka
Very challenging indeed! Well deserved rating, very rewarding to complete! One of my favourite puzzles!

on 25. July 2020, 17:34 by glum_hippo
Thanks, CilantroGamer. I'm blushing! But I hope you'll find many comparable gems on this site. Welcome to LM Germany!

Last changed on 25. July 2020, 00:49

on 25. July 2020, 00:24 by CilantroGamer
This puzzle is absolutely genius. The levels of logic required are insane. I got stuck twice, and almost resorted to bifurcation in both cases. I had to work a bit ahead in the first case, but in the second case some cleverly hidden unspoken constraints helped me solve the rest.

This is my favorite sudoku puzzle I've ever done.

on 15. July 2020, 20:16 by japoorva
Great logic! but quite challenging.

Last changed on 15. July 2020, 12:53

on 14. July 2020, 21:28 by henrypijames
Nice logic, but difficult throughout.

Last changed on 14. July 2020, 16:39

on 14. July 2020, 16:39 by glum_hippo
Thanks, Jesper!

on 14. July 2020, 13:24 by Jesper
This one put up a good fight, before finally cracking. A very nice challenge!

Difficulty:5
Rating:92 %
Solved:41 times
Observed:5 times
ID:0003V9

Puzzle variant Online solving tool Arithmetic puzzle

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Solution code:

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