Logic Masters Deutschland e.V.

Run-on-Nabner Loop

(Eingestellt am 9. Oktober 2024, 15:03 Uhr von gdc)

This is my submission to this weeks setting challenge by Scojo which is about X-Sums and nabner lines. I decided to go for a loop puzzle with variations of both rules (Internal X-Sums and Run-on-Nabner). Thanks Flinty for testing and feedback.

  • Normal sudoku rules apply.
  • Loop: Draw a one cell wide loop through the centers of some cells. The loop can't touch itself, not even diagonally.
  • Run-on-Nabner: Digits that are 1, 2 or 3 steps apart on the loop differ by 2 or more. For example, if there is a 4 on the loop, the 6 surrounding cells on the loop (the next 3 and the previous 3) can't include 3, 4 or 5.
  • Internal X-Sums: A digit N in a cell containing a number X in its top left corner is on the loop and indicates that that cell sees N loop cells in the row and column combined including itself, and that those digits sum to X. Non-loop cells block vision.
  • Kropki Pairs: Digits joined by a white dot are consecutive. Not all dots are given.

Click on the puzzle image to play!

Example

This example shows how a part of the loop could look like. Cells with a number in the top-left "see" an amount of loop cells equal to their digit and the seen loop cells (which can include repeats) sum to the number indicated. Every 4 cell sequence along the loop acts as a 4 cell nabner line. The 5 in the top row eliminates 4, 5 and 6 from the 6 surrounding cells (which are 927-913).

Solve Video

Click here to watch Frank puzzle live solving this puzzle on YouTube.

Lösungscode: Digits that are NOT on the loop in column 7, top to bottom.

Zuletzt geändert am 27. März 2025, 05:45 Uhr

Gelöst von WedgeOfCheese, tuoni2, lmdemasi, marcmees, yttrio, Piff, Chrisccx, Alce, Voidslime, Nell Gwyn, mnasti2, vorash00, Lizzy01, widjo, smckinley, flo_310, Genomico, teuthida, Flinty, Klvsched, Scojo, ... Druselbert, Kyriaas, KyubiBoy, wuc, Uhu, joelth, ManuH, oskode, gsansone, Frank Puzzles, SudokuHero, LehanLehan, QuiltyAsCharged, JDP678, PippoForte, BabyfacedBard, SZCrow, zeniko, Jastucreudo
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Kommentare

am 27. März 2025, 05:45 Uhr von gdc
add link to solve video (YouTube)

am 1. Dezember 2024, 18:00 Uhr von wuc
Many very cool deductions here, that one has to work hard to understand the constraint combination. Awesome setting thx.

am 10. Oktober 2024, 18:42 Uhr von Voidslime
This was so much fun! The constraints and clues play out so interestingly. Easily my favorite puzzle all week!

am 10. Oktober 2024, 08:40 Uhr von yttrio
Really cool puzzle! I definitely had to think carefully about how the run-on Nabner had to work in order to figure out the break-in.

am 9. Oktober 2024, 20:22 Uhr von marcmees
some nice logic to eliminate possibilities. thanks for sharing

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Beobachtet:12 mal
ID:000K77

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Lösungscode:

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