Border Indexer - Sum #2: Arithmetic Maze
(Published on 27. February 2023, 18:11 by Playmaker6174)
The following puzzle is the follow-up one of the Border Indexer concept, for the previous 9x9 one see this link.
This time I tried to fuse the concept with another familiar constraint, specifically standard killer constraint and eventually created some colorful interplay between the two constraints. At the end I created two different versions of this, but I found the second one to be nicer and less grinding overall, for the first one I shall share it in the hidden comments below just for extra contents :)
(also, thanks Vebby as well for the constructive feedback on the setting process of this entry!)
This second version is also quite tricky but shouldn't be too hard overall in my opinions. I hope you enjoy!
Rules:
- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.
- Digits within a cage don't repeat and they sum to the small number written in the top left of that cage.
- Let X be the value of the cell that's next to an outside clue, then that clue shows the sum of cells that share the Xth border counting from the direction of that clue in its row/column. If X is 9, the clue is instead the value of the furthest cell from that clue.
To demonstrate how the rule works, here's an example:
This time I tried to fuse the concept with another familiar constraint, specifically standard killer constraint and eventually created some colorful interplay between the two constraints. At the end I created two different versions of this, but I found the second one to be nicer and less grinding overall, for the first one I shall share it in the hidden comments below just for extra contents :)
(also, thanks Vebby as well for the constructive feedback on the setting process of this entry!)
This second version is also quite tricky but shouldn't be too hard overall in my opinions. I hope you enjoy!
Rules:
- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.
- Digits within a cage don't repeat and they sum to the small number written in the top left of that cage.
- Let X be the value of the cell that's next to an outside clue, then that clue shows the sum of cells that share the Xth border counting from the direction of that clue in its row/column. If X is 9, the clue is instead the value of the furthest cell from that clue.
To demonstrate how the rule works, here's an example:
Puzzle:
Good luck and have fun solving!
Solution code: Row 6 (left to right) and column 2 (top to bottom), 18 digits long with no space
Last changed on on 27. February 2023, 18:14
Solved by DVFrank, Vebby, Elliott810, Qodec, Steven R, rictech, Statistica, zuzanina, lerroyy, amarins, abed hawila, JohnDoeJersey, tangobunni, Twan2797, TrollErgoSum, AvonD, Piatato, picoton, Netra, Myxo, Sotek, Bellsita, riffclown, Ratfinkz, Joshua547, alwaysbcoding, Niverio, Illuminated, darrenfwl, marcmees, Bobbobert, PippoForte, ZornsLemon, zrbakhtiar, Sewerin, karen_birgitta, sandmoppe
Comments
on 6. March 2023, 00:16 by Ratfinkz
Beautiful!
on 6. March 2023, 00:12 by Myxo
Awesome puzzle!
on 2. March 2023, 09:29 by Piatato
Very clever setting, and a wonderfully smooth solve path as always. :-)
on 2. March 2023, 09:05 by Playmaker6174
Thank you all for the great and lovely feedback! I'm really glad you all enjoyed this one :D
on 1. March 2023, 15:38 by abed hawila
Wonderful puzzle!
on 28. February 2023, 14:57 by lerroyy
Very nice, thanks!
on 27. February 2023, 22:04 by Qodec
Very interesting ruleset, and crisp execution, wonderful!
on 27. February 2023, 21:21 by Elliott810
Beautiful puzzle! Thanks:)
