Bermuda Triangle
(Published on 3. May 2023, 04:00 by XeonRisq)
I have introduced another constraint but it mixes quite well and adds additional elements to the solve path.
Again, if you decide to give this new challenge a try, please let me know how your experience went, and of course.. ENJOY!!
- Normal sudoku rules apply.
- Remote Sums: A digit X in a cage points to a second digit Y located X cells away on its line. The number in the top left corner of the cage gives the sum of X+Y. (A cage on an intersection of lines is not required to fulfill the sum on both lines, but at least one.)
- Unique Difference Lines: Adjacent digits along a line must have a unique difference. (Only applies to its own line.)
- Numbers cannot repeat on the negative diagonal.
- F-puzzles link - link to solve online
- SudokuPad link - link to solve online
Solution code: Row 7 followed by Column 4
Comments
on 30. June 2023, 15:19 by rmm466ss
The logic in this was masterfully incorporated! Thanks for the fun puzzle!
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You're quite welcome, and I do appreciate the solve and kind words.
on 20. May 2023, 05:02 by dumediat
I loved the interactions between the cages along lines, plus the global deduction needed is very cool. Thank you for sharing!
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Glad you enjoyed the puzzle, appreciate the solve and feedback.
on 5. May 2023, 17:11 by Chilly
Enjoyed that one - especially the 10-cell line ;)
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Thanks for the solve/feedback. I rather enjoyed that line myself!!
on 4. May 2023, 16:31 by Syzygy
Thank you so much for setting this! Really enjoyed this, with its interesting mechanic.
Lost myself down a rabbit hole of colouring cells, but I think that may have helped as this didn’t feel as mine bending as other 4’s that I’ve done. Thanks again, excellent work
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Thanks for the thorough feedback and the solve. I agree that this wasn't all that difficult, but with a couple of new rulesets, you have to allow for solvers to become accustomed to how they behave/interact.
on 3. May 2023, 22:54 by Tulrak
took me a long time because I was sure that my understanding of the unique difference lines rule breaks all the laws in the universe, but turns out that it didn't, very clever construction
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Appreciate the kind words and solve. The lines are a little awkward at first, but I feel that they grow on you as you work your way through the puzzle.
on 3. May 2023, 22:31 by Bankey
Fantastic puzzle! Thanks, @ XeonRisq :). Also, thanks for your reply to my query; i had in fact already started working on the latter basis, as the former looked infeasible. Thanks :)
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Thanks for giving the puzzle a shot and the feedback. Glad you enjoyed the puzzle and your intuition was correct about the rule; the lines are just too long for the same difference per line.
on 3. May 2023, 19:19 by Paquet Voleur
Lovely sequel! Thanks for setting this puzzle. I also enjoyed that it came with a new flavour (or constraint if you prefer that terminology, but I like flavour because it reminds me of ice cream).
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That's great to hear!! And thrilled you enjoyed the follow up puzzle. (And who doesn't love ice cream?!?)
on 3. May 2023, 19:14 by Bankey
Can you please clarify the unique difference rule? Does it mean that for a given line, every pair of adjacent digits along the line will have the same difference, say "x", and that "x" will have a different value for every line? Or, does it mean that every pair of digits along a line will have a difference that no other pair of adjacent digits along that particular line will have? It looks like the latter, but just asking to be sure. Thanks.
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It's the latter.
Example of good line segment : 1-3-8-4
Differences of 2-5-4 (all unique)
Example of bad line segment : 1-3-5-9
Differences of 2-2-4 (difference of 2 repeats)
on 3. May 2023, 14:12 by Steven R
A new (to me) constraint with some lovely interactions. Thanks for setting this :)
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You are quite welcome, and thanks for the solve/feedback.
on 3. May 2023, 10:52 by wilsig
Almost made it till the end. But code was not accepted. No idea, what I did wrong. I wonder about the "unique difference" of the top right angled line. There are 10 numbers on this line, i.e. 9 differences, which seems impossible.
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Sounds like you managed to work your way around the "triangle", but got tripped up on the additional line. If you give that line a little more thought, I'm sure things will fall into place. I assure you that this line does have a valid arrangement.
on 3. May 2023, 10:23 by laky
Wow,that's pretty interesting logic and amazing construction,but I think the potential of the combination of these rules is huge ,expect your next amazing puzzle ，maybe the next puzzle will have 5 stars difficulty(๑><๑)
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Thanks for the detailed feedback and taking the time to solve this. Really glad you enjoyed the logic in this one.
