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[TSL][S2T2] Circular reference

(Published on 14. May 2026, 15:32 by AllesUgo)

Circular reference by AllesUgo.
I created this puzzle for turn 2 of the currently ongoing setting competition The Skunkworks League hosted by damasosos92. In turn 2 the task was to set a puzzle pair, with one of the puzzles being non-numerical. The puzzles are supposed to be solvable together and have logical interactions. Here is the puzzle I came up with:

Rules
The left grid is a Sudoku. Fill the grid with digits 1 to 9 so that each digit appears exactly once in every row, column, and 3x3 box.
The right grid is a Masyu. Draw a single continuous non-intersecting loop through the centers of cells. The loop must pass through every circle. At a white circle, the loop must pass straight through but turn in at least one of the adjacent cells. At a black circle, the loop must make a 90-degree turn and extend straight through the next cell on both sides.
Additionally the Sudoku grid contains cages with letters and some of the white Masyu circles contain letters. If the letters of a Sudoku cage and a Masyu circle match, the sum of the digits in the Sudoku cage is equal to the length of the straight line segment running through the white circle. (Example: For a white circle, where the loop turns immediately in both adjacent cells, the length of the line segment would be 3)

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Solution code: The values of L, M, N, Q, P, T

Last changed on on 14. May 2026, 15:57

Solved by Agent, lmg131, emoney1374, dzamie, aqjhs, lmdemasi, Clipper, Calvinball, mnasti2, dogfarts, jkuo7, ChinStrap, Ambrose, gdc, LeonerdCdL, Pairot
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Comments

today, 06:06 by Pairot
After fixing a logical misstep with some divine intervention, it all flowed smoothly. What a cool puzzle, thank you!

Last changed on 18. May 2026, 01:08

on 17. May 2026, 21:01 by mnasti2
Fun combo, loved the interplay!

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AllesUgo
Thanks! I'm happy that you liked it :)

Last changed on 15. May 2026, 08:48

on 15. May 2026, 05:00 by Calvinball
Awesome work! It had wonderful flow, never once did I find myself stuck.

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AllesUgo
Thank you!

Last changed on 14. May 2026, 21:43

on 14. May 2026, 21:41 by dzamie
That was really tough, but fun! Took me nearly 2 hours.

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AllesUgo
Glad you enjoyed it!

Last changed on 14. May 2026, 19:05

on 14. May 2026, 18:21 by Agent
Very fun and smooth!

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AllesUgo
Thanks! It's funny how we both did a Masyu Sudoku combination this round.

on 14. May 2026, 15:57 by AllesUgo
Fixed turn number in the title

Difficulty:3
Rating:100 %
Solved:16 times
Observed:0 times
ID:000STQ

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Solution code:

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