Sumthing
(Published on 7. December 2023, 07:33 by ThePedallingPianist)
Normal sudoku rules apply.
X Sum Lines: If the digits at each end of a line are X and Y, then the first X digits on the line starting from X must sum to the same total as the first Y digits on the line starting from Y. (X and Y needn't necessarily be different numbers; X and Y may not exceed the number of cells on the line)
Solution code: Row 5, left to right
Comments
on 28. July 2024, 08:28 by Bankey
I had given up on this near the endgame on the first attempt long ago. Started afresh today and persistence paid off!! Remarkable puzzle, with some very "clever" lines :). Thanks for setting and sharing, @ ThePedallingPianist :). Would love to solve some more of this kind.
on 24. December 2023, 03:03 by wisty
Creative and well executed x-sums variation!
on 12. December 2023, 03:37 by Agent
Fun puzzle, starts off easy but there is a slightly trickier step near the end, with an elegant resolution.
on 11. December 2023, 01:42 by marty_sears
Really great and pure puzzle. I love when an unfamiliar new ruleset can be showcased completely just using that rule, with nothing else to help.
For me personally this was 4-5 stars difficulty. Really struggled with this, it isn't the sort of puzzle that plays to my strengths. Yet I still found it very fun :D Great construction
on 9. December 2023, 12:06 by PierreTombal
Like this concept very much. Don't think it deserves the ranking 'hard' though. Toughest part is understanding how the rules affect the relationship between cells on opposite sides of the lines.
on 9. December 2023, 11:47 by RebelSystem
Well that was lovely. I honestly thought I wouldn't manage it and feared I'd gone totally wrong when placing a particular 2. But working out how the logic worked and how the lines fitted together was a beautiful experience this morning. Thank you.
on 8. December 2023, 21:32 by madhupt
Looked very very hard but soon it flowed very smoothly after the break-in and then some getting used to the new ruleset. Wonderful puzzle with lots of moments of epiphanies. Beautiful logic throughout with some algebra also kicking for box 4. Simon would have a field day solving this on CtC.
on 8. December 2023, 17:54 by samuel1997
These lines are really sumthing else! They are brilliantly constructed!
on 8. December 2023, 12:47 by Schma
Very nice puzzle. It took me quite some time to get my head around this ruleset but it resulted in some very interesting logic. I enjoyed it from break-in till finish!
on 8. December 2023, 05:40 by shteev
Fun and interesting! Easier than I thought it would be, I dread to think what a really hard version of this puzzle would look like!
on 8. December 2023, 00:19 by drbs
Beautiful! Particularly gratifying for me was the validation of my early conjecture regarding the longest line.
on 7. December 2023, 21:29 by Kawkaz
This is such an awesome puzzle and ruleset!
Great work PP!
on 7. December 2023, 20:13 by ViKingPrime
It's tough nowadays to find fresh, innovative line logic; you've found it here with this puzzle, really enjoyed these, looking forward to more.
on 7. December 2023, 18:32 by mihel111
This X Sum lines concept has a bright future in front of it.
Well done and thank you, PP
on 7. December 2023, 14:32 by mihel111
This X Sum lines concept has a bright future in front of it.
Well done and thank you, PP
on 7. December 2023, 09:52 by StefanSch
Verry nice logic!
