Shifter Lines 106: Searching for 5s
(Published on 5. December 2023, 10:31 by gUBBLOR)
Shifter Lines 105: Phistomefel? Who's that?!
Shifter Lines 107: Shifty little arrows
All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots
Rules:
Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.
Shifter lines: Adjacent digits within the same box on a shifter line share both parity (even/odd) AND polarity (low/high). Whenever the line enters a new box either the parity OR the polarity shifts, never both. Shifter lines can never have 5 on it. Digits may repeat on lines.
Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. A white dot between cells indicates cells with consecutive values. Not all dots are shown.
X: Adjacent cells connected with an X must sum to 10. Not all X's are shown.
Search 5: Each arrow points to the closest 5, where the digit on the arrow is how many cells away the 5 is. For example, lets say there's an arrow in R1C1 pointing to the right. If R1C1 was a 1, R1C2 would have to be 5. If R1C1 was 8, the 5 would have to be in R1C9. There may be multiple arrows pointing to the same 5, and it's not necessary for every 5 to have an arrow pointing to it. If R7C7 was a 6, there would have to be a 5 in both R1C7 and R7C1.
There is a setting (under Visual) called "Draw Arrows Above Lines", and I'd recommend you set that to "On".
Solve here:
Sudokupad
Video featuring the puzzle:
Sudoku Sleuth
Solution code: Row 9 left to right and column 4 top to bottom - no spaces.
Comments
on 11. October 2024, 21:40 by burgermason
09:25, fun
on 25. September 2024, 21:13 by h1dd3ntrip7e
Best in the shifter series yet, and that says a lot considering the FOW puzzle!
on 3. September 2024, 12:54 by ThatUnfunPerson
I found the "Search 5" rule confusing until I read the comments. And I think the issue is that the phrasing is wrong. The arrow doesn't point to the closest 5, it's just showing the distance to the 5 in the highlighted direction. The word closest is probably there for clarification for diagonals. But I suggest the follow phrasing to make that clear:
The digit on each arrow indicates how many cells away the nearest 5 in the given direction is.
on 27. August 2024, 14:25 by SirTKay
00:10:35 on my second try after i made a confusing mistake on the first one. loved this puzzle, thanks!
on 7. August 2024, 20:07 by Clowns_rock
My first introduction to parity in a puzzle, very clear ruleset and an easy solve!
on 9. June 2024, 09:58 by maiaz
Fun parity speed fun
on 8. June 2024, 21:10 by fab_minimal
I really enjoyed the logic and the flow of this puzzle, Ruleset was clear. Also one of my fastest solves on a gUBBLOR puzzle
on 3. April 2024, 12:12 by Kiiyora
I don't understand the confusion with the rules. Other options can be eliminated almost immediately so you get the 5's and arrows right away, the ruleset is very clear. Quick and fun one, almost a Speedrun. Starting to love shifter lines!
on 9. March 2024, 18:38 by gUBBLOR
Added links
on 6. March 2024, 03:58 by emilyble21
You deserve your near-top spot under easy and beautiful, the perfect description for this! I will be checking out more of your puzzles.
on 22. February 2024, 17:51 by gUBBLOR
Added video link to the puzzle being solved
on 20. February 2024, 15:47 by digital_lighting
Very nice and very approachable!
on 14. February 2024, 16:36 by Anderzone
The search 5 rule could use some clarification that it is the closest 5 in the direction of the arrow, not necessarily closest to that cell. Otherwise great puzzle!
on 17. January 2024, 17:40 by silent_rob
This was a new constraint for me and I quite enjoyed it. Thanks very much - the whole thing flowed very smoothly.
on 15. January 2024, 23:10 by possibli
I'm pretty new to these sorts of puzzles, so the white dot also confused me (should've read the rules on this website). Was still able to solve it yayy!
on 14. January 2024, 04:04 by Ganbatte
Fun puzzle for the evening
on 11. January 2024, 23:44 by Hydalin
I also suggest to clarify the rules: arrows show the distance to the 5 in that direction - this is not necessarily the nearest 5.
All dots are not necessary and also you can cancel one of the Xs without making it more difficult ;)
on 1. January 2024, 09:08 by Ju Corb
Lovely puzzle to introduce the line rule
on 21. December 2023, 23:54 by Suxamethonium
Brilliant! Just started solving line sudokus and this was so much fun.
You've added the Kropki dot explanation to the logic-masters.de description but it's still missing from the Sudokupad version!
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Happy you enjoyed it! I can no longer edit the puzzle on sudokupad without having to recreate it (and because of the arrows that would be a pain). I have no links to the puzzle on sudokupad outside of LMD, almost everyone will already know what that kropki does, and the puzzle is solvable without it, so sadly it'll have to stay that way. I appreciate the feedback though!
on 20. December 2023, 20:54 by gUBBLOR
Added some links
on 16. December 2023, 07:04 by PurGale
Shifter Lines are so funny! Thank u for setting this!
on 16. December 2023, 00:20 by gUBBLOR
Fixed adding white kropkis to the rules which I had missed
on 15. December 2023, 23:29 by McrsftHater
Everything is great except I don't understand what that white dot between R5C4 and R6C4 stands for.
UPD: it's mentioned in another puzzle: "A white dot between cells indicates cells with consecutive values"
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Sorry about that and thanks for the feedback, I'm updating the rules right away!
on 5. December 2023, 11:01 by Duplicitous
Very easy puzzle but nice and smooth and quite fun to solve.
on 5. December 2023, 11:00 by ark29
Nice fun puzzle. Enjoying the series. I haven't yet attempted 105, will try soon.
on 5. December 2023, 10:58 by 28righthand
That was really nice, I did missunderstand "Each arrow points to the closest 5" rather than "Each arrow points to the first 5 in that direction", Thank you
