OmniLS #5: Taking the scenic route
(Published on 29. July 2024, 11:00 by sujoyku)
Puzzle #1: Anything works
Puzzle #2: Divinity Through the Fog by meggen033
Puzzle #3: Omnipotent Butterfly
Puzzle #4: Mighty Triangle
DFM Guest Spot: Dutch Flat Mates (Omnipotent Lines)
This puzzle has the title “Taking the scenic route” and probably is the most challenging puzzle of the series so far. A loop must be drawn into the grid which then acts as an Omnipotent Line. As additional clues, there are a few quadruples and Non-Loop sum clues that indicate the sum of all non-loop digits in the respective row or column up to the first loop cell. For a detailed description of the ruleset see below. As always, I highly appreciate your comments and wish you happy solving!
- Normal sudoku rules apply, i.e. each row, column and 3x3 region has to contain the digits from 1 to 9 once each.
- Quadruple: Digits in a circle must appear in one of the four surrounding cells.
- Omnipotent Loop:
1) Loop-Drawing: Draw a one-cell wide loop into the puzzle. The loop may only move orthogonally from cell to cell, does not branch or cross itself and must not touch itself neither orthogonally nor diagonally.
2) Omnipotent Line: The loop forms a so-called Omnipotent Line, i.e. each pair of adjacent digits on the loop must fulfill either an X, V, white or black Kropki dot clue. In other words, any pair of adjacent digits on the loop must sum to 5 or 10, be consecutive or in a 1:2 ratio. (At least one of these constraints must be met, it is allowed that two constraints are fulfilled simultaneously.) For example, a 3 may be adjacent on the loop to either a 2 (V or white Kropki dot), a 4 (white Kropki dot), a 6 (black Kropki dot) or a 7 (X).
3) Non-loop sums: Clues outside the grid indicate the sum of all non-loop digits in the respective row or column up to the first loop cell. (The digit in the loop cell is not included in the sum.) In other words: A clue indicates the sum of all seen non-loop cells where a loop cell blocks vision.
Here you can solve the puzzle online:
Solution code: Digits on the loop in Row 8 from left to right
Comments
on 3. September 2024, 21:44 by wuc
Im addicted to this series. This is among all omni cool puzzles my favorie so far. What a cool solve path. Looking forward to solve the others.
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Thank you for your kind words, wuc! It is great to hear that you like this puzzle. I was very pleased when the set-up worked out like this.
Kind regards, sujoyku
on 30. July 2024, 22:31 by Elker
Awesome puzzle. Took me a bit more than 11 minutes. But was very fun throughout.
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Thank you for your kind comment, Elker! I am glad that you enjoyed the puzzle.
Kind regards, sujoyku
on 29. July 2024, 12:23 by Niverio
Very nice puzzle! Lots of fun loop building. I found it a bit easier than 3 stars (solved it in 11 minutes), but I did work quite a bit with XV and kropki in the past so I am experienced with those. Lovely stuff.
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Thank you for your kind words, Niverio! It is great to hear that you enjoyed the puzzle. Concerning difficulty: It could also be me overestimating it slightly (although previous Omnipotent Line puzzles had 2 stars and I think this one is somewhat harder). I have already joked with people that in order to become more comfortable with solving loop puzzles I should set some more on my own. :)
Anyhow, I am glad that you had a fun solve.
Kind regards, sujoyku
