Internal X-Sum Entropic Loop
(Published on 29. March 2025, 00:26 by yttrio)
Rules:
Normal Sudoku rules apply.
Draw a one-cell-wide loop of orthogonally connected cells. The loop may not touch itself, not even diagonally.
The loop acts as an entropic line. Each set of three adjacent digits along the loop must be one low [123], one medium [456], and one high digit [789].
Cells with an arrow clue act as internal loop x-sum clues: a digit in a clued cell indicates the sum of the first X digits on the loop in the indicated direction, where X is the digit in the first loop cell in that direction (not including the clued cell itself). X cannot be larger than the number of loop cells in the indicated direction, and the clued cell may or may not be on the loop.
Solution code: Digits on the loop in row 7 (left to right) followed by digits on the loop in column 7 (top to bottom)
Comments
on 4. April 2025, 04:38 by virus_dave
Very lovely puzzle! Finding the shape of the loop was quite tricky to me; several times i was almost convinced it couldn't be done or that i'd gotten it wrong previously somehow, but NOPE there's a way to do it! :)
on 2. April 2025, 02:03 by askaksaksask
Excellent puzzle. Such a fun solve. Thank you!
on 30. March 2025, 13:22 by Titus Adduxas
What a gorgeous puzzle; thoroughly enjoyed every minute of it.
on 30. March 2025, 01:07 by Calvinball
Great puzzle, and the former WoW player in me is smitten by the puzzle ID.
on 29. March 2025, 23:20 by wuc
Cool puzzle. One of the easier of your loop puzzles to me 2*. Great fun as always thx.
on 29. March 2025, 13:37 by marcmees
Supersmooth. Thanks
on 29. March 2025, 10:23 by Franjo
Lovely minimalistic loop puzzle! Thank you very much for creating and sharing this gem.
on 29. March 2025, 09:24 by sorryimLate
Very nice and quite approachable after having solved the Internal X-Sum Whisper Loop, although this one was slightly more challenging. Thanks!
on 29. March 2025, 09:05 by zhangjinyang
Very nice, just a few arrows can be solved out.
on 29. March 2025, 04:10 by CrypticCoyote
Great!
