Diminishing Returns
(Eingestellt am 21. Mai 2023, 03:55 Uhr von ul-Rhymm)
Rules
Normal Sudoku Rules and XV rules apply. In addition, the “V” is an inequality sign: the digit above the V is greater than the digit below the V.
To solve this puzzle, fill in one box at a time—at any given moment, only one box is solvable. When you finish each box, the digit in the yellow highlighted square indicates which box to solve next. The starting box must be deduced, and the highlighted digit in the final box points back to the beginning.
To begin this puzzle, all of the following constraints apply.
1. Normal sudoku rules apply.
2. Adjacent Cells may not sum to 5 unless marked with a V
3. Disjoint Groups
4. Digits may not repeat along marked diagonals
5. Cells a King’s move may not contain the same digit
6. Cells a Knight’s move may not contain the same digit
7. Adjacent Cells may not be consecutive
8. Adjacent Cells may not sum to 10 unless marked with an X
9. Adjacent Cells may not have a 1:2 ratio.
Each time you complete a box, the last rule is removed. So, the first box solved abides by all 9 constraints. The Second abides by constraints 1-8. The final box only follows constraint #1.
Lösungscode: Row 7 and then Column 7, with no spaces
Kommentare
am 30. Juli 2023, 03:37 Uhr von PinkNickels
This is extremely clever and was very enjoyable to solve. Really glad i found this puzzle.
am 14. Juli 2023, 10:18 Uhr von TheSolvingJäck
what a beautiful and unique puzzle idea its a really fun journey to work your way through the grid. Absolutely impressive piece of art
am 26. Juni 2023, 18:04 Uhr von Counterfeitly
I wonder if there is any way to use the fog settings on sudoku pad to make clear which rules are active - might be more trouble than it's worth, but I would be a nice way to save on the number of times people have to pause and check order
am 30. Mai 2023, 03:16 Uhr von KyleBaran
Seems like a nice puzzle, but I dont understand how youre meant to start. There are many permutations that make box 3, 5, and 9 valid starting boxes, for example, since they have no restrictions, and at that point it becomes a very boring exercise of bifurcation. I was able to eliminate a box as the start after 25 minutes. I know I am missing something, which is too bad because this looks like a fun puzzle.
am 23. Mai 2023, 07:09 Uhr von Montikulum
Not sure how the start (number, not box) could be deduced w/o trying but extremely impressive setting with the rules breaking box by box exactly as „indicated“.
am 22. Mai 2023, 19:08 Uhr von RedBarchetta
Once the break in was found, it flowed so well, very nice puzzle. I had the right box the first time but must have made a mistake and tried so many others for the break in. I finally went back to my first attempt and tried again. Cleverly worded by the way.
am 22. Mai 2023, 14:03 Uhr von LoverOfPi
Beautiful and not as hard as expected. Maybe im slowly able to do 2 stars?
am 22. Mai 2023, 12:30 Uhr von asp1310
Is the V also a normal "5 V", or is it ONLY an inequality sign?
am 22. Mai 2023, 11:52 Uhr von Snaques
It blows my mind how people are able to set puzzles like this. Very much appreciated ul-Rhymm!
This took me quite a few tries as I struggled to keep up with what rules were in play, but got there in the end and glad I did. Wasn't too bad when I worked on the correct rules. :)
am 22. Mai 2023, 03:05 Uhr von Paytertot
Pretty easy and straightforward solve, but the changing rules made this one a real treat to solve. Absolutely brilliant setting to make this all work.
am 22. Mai 2023, 01:02 Uhr von Snaques
It blows my mind how people are able to set puzzles like this. Very much appreciated ul-Rhymm!
This took me quite a few tries as I struggled to keep up with what rules were in play, but got there in the end and glad I did. Wasn't too bad when I worked on the correct rules. :)
am 21. Mai 2023, 21:39 Uhr von Silverscree
I found a correct solution at the end, but I found that my 6th box (order, not position) wasn't fully solvable with my remaining rules. I'm sure it must just be me, but did anyone else have two dominoes that stubbornly resisted disambiguation in their 6th box?
Edit: I went back to have another look - there was one constraint remaining that works ACROSS boxes that was the missing piece.
Regardless of that, I really enjoyed this idea. I especially loved the break-in, which tickled the same part of my brain as using uniqueness to solve but felt fairer somehow!
am 21. Mai 2023, 21:18 Uhr von BenTen
That is a really well-designed puzzle.
am 21. Mai 2023, 19:37 Uhr von Onkel_Dagobert
Pretty straight-forward for me, especially towards the end. Also, I find checking for disjoints very tedious (which is NOT criticism in any way, of course, just a matter of taste entirely).Having said all that, I can‘t help but admire how thoughtfully constructed this puzzle was. Very well done!
am 21. Mai 2023, 19:25 Uhr von Baklin
I kept messing up with removing the rules. After that it wasn't that hard to finish this.
Enjoyed these rules.
am 21. Mai 2023, 18:46 Uhr von kakstront
Love the concept of the constraints being removed as you go. Would love to see harder puzzles with this ruleset
am 21. Mai 2023, 17:24 Uhr von VitP
There is an inaccuracy in the rules as written.
The second paragraph should have
"only one box is PLAYABLE (or ACTIVE)", otherwise I can fill in every cell, except one cell per box, and all rules remain in force.
am 21. Mai 2023, 17:09 Uhr von VitP
for Guillem98
Disjoint groups means
for any given cell within a 3x3 box, no other equivalent cell within the other boxes may contain the same digit.
am 21. Mai 2023, 14:39 Uhr von Guillem98
What's the Disjoint Groups rule?
am 21. Mai 2023, 11:09 Uhr von frankpujo
Beautiful puzzle! Very nice and straight-forward solving. It was amazing to see how the rules were broken as soon as they weren't required anymore, giving confirmation that I was on the right path. Nice.
am 21. Mai 2023, 09:27 Uhr von annaswan
I loved this puzzle! The interplay of the rules was fantastic and the puzzle was a joy to solve.
