Logic Masters Deutschland e.V.

Internal X-Sum Modular Loop

(Published on 5. April 2025, 01:52 by yttrio)

This is my third puzzle using the internal loop x-sums. The previous puzzles in this series are linked to below:
Internal X-Sum Whisper Loop
Internal X-Sum Entropic Loop

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 a modular line. Each set of three adjacent digits along the loop must be one each from the sets [147], [258], and [369].

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.




SudokuPad


Solution code: Digits on the loop in row 7 (left to right) followed by digits on the loop in column 7 (top to bottom)


Solved by Calesch, mellowrobinson, Elliott810, CrypticCoyote, Steven R, mnhuik, tgstar, tuturitu, smckinley, sorryimLate, mihel111, Exigus, salsais, Smoncko, LehanLehan, henrypijames, TripleABattery, ... gdc, SincereEngineer, dublaypt, Tompzini, Possum, Christounet, widjo, ywinad, misko, wuc, sunevora, benjaminc247, Ezawa, little_arturo, sehringdipity, marcmees, Firebird, Doc Liu, zhangjinyang
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Comments

on 19. April 2025, 00:22 by wuc
2.5* to me. I love a good loop puzzle. Great fun thx.

on 7. April 2025, 02:13 by waffles_the_dog
Enjoyable puzzle and interesting logic, thanks! :D

on 6. April 2025, 14:38 by Franjo
Another excellent episode. Now I must have a look at the pilot… Thank you very much for creating and sharing this wonderful puzzle.

on 6. April 2025, 11:44 by Snookerfan
Very nice, as is the whole series! Thank you

on 5. April 2025, 13:53 by mihel111
Lovely. Very well set. Good consistency in difficulty level.

Difficulty:3
Rating:94 %
Solved:47 times
Observed:4 times
ID:000MR9

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Solution code:

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