Mongoose
(Published on 7. October 2022, 02:25 by Pallando)
Mongoose
Standard sudoku rules apply.
Digits on an arrow line sum to the number in the corresponding circle. Some arrow circles are given, others are not. Lines are to be determined.
An arrow is either strictly vertical or horizontal. There is only one line per circle and lines may only intersect perpendicularly. Arrow lines do not include their respective circles.
All cells containing arrow lines form a snake — an orthogonally connected, one-cell wide path — with its head and tail indicated by the grey diamonds. The snake may not touch itself orthogonally. The snake may only turn from one line to another on cells that contain both lines.
In short
- A cell must be on the snake if it contains an arrow line.
- A cell must not be on the snake if it does not contain an arrow line.
- Given digits might or might not be on an arrow line or arrow circle.
Links to solve Mongoose on F-Puzzles or solve Mongoose on CTC App.
6x6 example
Cells shaded dark blue are given arrow circles, and cells shaded light blue are arrow circles that have been placed into the grid to finish the snake. Note that the 4 at R4C5 could have an arrow line that extends two cells to the left—but this would be invalid for two reasons: each circle can only have one arrow line that is part of the snake, and the leftward-extending arrow line would include a cell that is not part of the snake.
Links to solve example on F-Puzzles or solve example on CTC App.
Solution code: The solution code is 18 digits, no spaces, consisting of Row 6 (from left to right) followed by Column 9 (from top to bottom).
Comments
on 13. July 2024, 03:53 by Agent
Great fun!
on 19. October 2022, 21:34 by lerroyy
Really nice puzzle with a super smooth solve! thanks
on 7. October 2022, 18:05 by JayForty
Fascinating puzzle! Interesting how restricted the ruleset is while still leaving room for very clever and rewarding logic. A pleasure to solve, thank you!
on 7. October 2022, 16:38 by Fool on Hill
Brilliant snake puzzle - interesting throughout.
on 7. October 2022, 16:19 by ufdigga
I really enjoyed this puzzle! Beautiful logic throughout, and a very thoughtful solve path.
on 7. October 2022, 05:19 by mathpesto
Like Wisty, one of my favorite snake puzzles! Very original ruleset that has some beautiful logic built in :)
on 7. October 2022, 02:42 by wisty
This concept is brilliant! One of my favorite snake puzzles. The mixture of snake logic and arrow logic is so much fun to figure out, and the solve path is very smooth and it always feels like progress is being made. Such a rewarding finish once you reach the point where the rest of the puzzle collapses too!
on 7. October 2022, 02:40 by Pallando
Edited the HTML to remove duplicate links. Great thanks go to Raumplaner for his fantastic translations. Any mistakes in the HTML are purely my own.
(Check out his own puzzles:
https://logic-masters.de/Raetselportal/Benutzer/eingestellt.php?name=Raumplaner especially Framed Arrows)
