Logic Masters Deutschland e.V.

Lots Of Loops

(Published on 9. July 2024, 17:38 by gdc)

I spent some time trying out different ideas for beginner-friendly odd-lots puzzles and was surprised to find that a loop puzzle turned out to be the most fruitful. Thanks to the testers and hope you enjoy!

  • Sudoku: Normal Sudoku rules apply.
  • Modular Loop: Draw a 1-cell wide loop of orthogonally connected cells. The loop can't touch itself, not even diagonally. Every 3 cell sequence on the loop contains a digit from {1,4,7}, a digit from {2,5,8} and a digit from {3,6,9}.
  • Odd/Even Lots: Box borders divide the loop into segments. A digit in a circle is on the loop and counts the number of odd digits on it's segment. A digit in a square is on the loop and counts the number of even digits on it's segment.

Play On SudokuPad!

Example

This example-loop goes through 12 cells and is split up by box borders into 4 segments with 3 cells each. The square in the middle box is satisfied because the segment it's on (the left three cells of the box) contains exactly one even digit (2) and the remaining cells are odd (1,9).

The loop is modular since every sequence of 3 cells (including seqences that cross borders) contains exactly one digit from {1,4,7}, one digit from {2,5,8} and one digit from {3,6,9}.

Solution code: The digits not on the loop in column 6, top to bottom

Last changed on on 9. July 2024, 17:42

Solved by anonymoose, ole-1995a, tiuhto, teff, Kallor, MSDOS, heliopolix , Nell Gwyn, AFrayedKnot, BEHamren, Calesch, zrbakhtiar, StartUp21, Nyxian, achim-t, SamuPiano, Phistomefel, miccul, roflsalot, Crul, ... oskode, AsgarArn, arangues, thertemis, dustpan, davidemsa, BarbieX, codewizard, Madoka42, ranalloatl2, kolb_elias, widjo, Hark Vitrina, bboom, Drafuf, Thut46, Nathancdj, Kyriaas, asii, BlacknWhite
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Comments

on 27. August 2024, 00:46 by AsgarArn
Great work, lovely puzzle!

on 2. August 2024, 16:06 by MisterPine
I really enjoyed it. The way the loop is restricted feels really clever

on 20. July 2024, 22:30 by yttrio
Fantastic puzzle! Very smooth solve path with some really nice deductions along the way.

on 17. July 2024, 11:19 by GDP
I really enjoyed that. I haven’t done many loop puzzles and this rules took me a while to get my head around but once I did I loved the logic it offered.

on 17. July 2024, 10:31 by GDP
I really enjoyed that. I haven’t done many loop puzzles and this rules took me a while to get my head around but once I did I loved the logic it offered.

on 16. July 2024, 22:35 by wuc
Another awesome approachable loop puzzle. Great fun to solve thx.

on 14. July 2024, 07:05 by SamuPiano
This one was a lot of fun!

on 11. July 2024, 01:33 by heliopolix
Another brilliant use of Lots! Drawing the loop was tremendous fun, including some surprising solo segments!

on 10. July 2024, 05:40 by MSDOS
Couple of tough spots, but once I wrapped my brain around the main concepts, it was very enjoyable!

Difficulty:2
Rating:98 %
Solved:68 times
Observed:4 times
ID:000IUL

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