Logic Masters Deutschland e.V.

3 Cycle Lines

(Published on 12. October 2025, 15:38 by LivreVerte)

Around and around it goes. Just don't hurt anybody.

Sudokupad

Normal Sudoku Rules apply.

A cycle is where you start at a position, then go to the position of that value, and repeat until you get back to the beginning. The length of a cycle is how many values are visited before returning to the start. On a line, all cycles must be of length 3, with position 1 as the circle on one end and counting up as the line progresses. In addition, digits cannot repeat, and must be between 1 and n, where n is the length of the line.

Examples of cycles: a valid cycle would be 312, as the 3 on the first value goes to 2, the third value, to 1, then back to the first position, with length 3 because 3 distinct cells were visited. 312645 would also be valid, as there are two cycles of length 3. 312465 would not be valid, however, as there is a sequence of length 2 (6 to 5) and 1 (4), not length 3. Note the sequences can be interlocked such as 461325, which is a valid 3 cycle line.

Digits separated by an x sum to 10

Digits separated by a white dot are consecutive.

Please comment if you have feedback, I really want to make good puzzles, and let me know if there are any issues.

Solution code: Row 3, left to right

Last changed on on 12. October 2025, 19:07

Solved by SKORP17, Piff, cryptique, zhan, Briks, zeniko, mezeji, tourtiflette, bellaquill
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Comments

on 13. October 2025, 17:27 by mezeji
took me almost 5 hours to solve. didnt have kropki
it is a great puzzle

Last changed on 12. October 2025, 19:08

on 12. October 2025, 19:07 by LivreVerte
Added a kropki dot to smooth out end. Solution code unaffected.

on 12. October 2025, 18:43 by Piff
I made fast progress in the beginning but struggled towards the end, no idea if i missed some key logic step. Overall fun puzzle

Difficulty:4
Rating:N/A
Solved:9 times
Observed:0 times
ID:000PNV

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Solution code:

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