A hybrid of Sudoku and Roller Coaster, inspired by an unpublished puzzle by Sandra and Nala with the name "Wilde Maus". I usually would aim for a more minimally clued grid, but this puzzle is an exception. Enjoy!
Rules:
Normal Sudoku rules apply. Place the digits 1-9 exactly once in each row, column and thick-outlined box.
Draw a closed loop in the grid, that runs through the middle points of orthogonally connected cells and doesn't visit a cell more than once.
Clues to the left of the grid indicate sums of digits on a horizontal loop segment in that row. Clues at the top of the grid indicate sums of digits on a vertical loop segment in that column. If a row or column has at least one given clue, all clues are given, and they are in the correct order. ?s stand for any digit 0-9, but leading zeros are not allowed.
Each loop segment has one of the following colors: purple, green or blue. The loop changes color exactly at each turn. The properties of the loop segments are as follows:
Purple (Renban) - Digits on a purple loop segment form a set of consecutive digits in any order.
Green (German Whisper) - Adjacent digits on a green loop segment differ by at least 5.
Blue (Region Sum) - Digits on a blue loop segment sum to the same total in each region the segment passes through. Blue segments must pass through at least two regions.
Mauskürvchen (example puzzle with digits 1-6 and adjusted german whisper rules):
Mauskurven (main puzzle):
Solution code: Row 7
on 17. September 2024, 10:37 by AnnaTh
Tolle Idee!
on 29. September 2023, 13:18 by Christounet
Superb idea ! Very original and fun. The example puzzle is nice too. Thanks :)
on 4. August 2023, 16:22 by Myxo
added example puzzle
on 24. July 2023, 13:52 by Agent
Great puzzle, challenging until the end!
on 22. July 2023, 17:53 by twobear
Very fun. Thank you!!
on 21. July 2023, 21:50 by MicroStudy
plug this banger of a rollercoaster into an amuSement park
on 21. July 2023, 19:05 by marcmees
Q: every line can hold no more than one property out of three?
Myxo: lines can hold more than one property (but the coloring in the finished grid, while following all the rules, is unique).
“Each hold one of the properties” got me first confused. Once clear, solves smooth. Thanks
on 21. July 2023, 17:14 by Piatato
Loads of fun, thanks!
on 21. July 2023, 15:49 by SandraNala
Lieblings-Titel Potential und großen Spaß gehabt beim Lösen :D