Rectangle City
(Published on 9. January 2022, 21:30 by panthchesh)
159 expanded rules apply to every column: Digits in the Nth column indicate in which column the digit N is placed in the respective row. Eg if R3C2 is a 5, the fifth column in the third row (R3C5) must contain a 2.
Box index rectangles apply: The square boxes index the position within the box of the box number. For instance, if box 1 had an 8 in the square box in R1C1, then the 1 in box 1 must be in R3C2 (the 8th position in the box).
Boxes can be numbered/indexed as follows:
1 2 3
4 5 6
7 8 9
Column index rectangles apply: The long vertical rectangles index the row for that column number (keeping within the same column). If R3C2 was a 7, then the 7th row in the column (R7C2) must be a 2 (the column number).
All boxes are given. If the two types of rectangles would overlap each other, then only one of the two is shown.
Thanks to Andrewsarchus for the Column index rectangles and Box index rectangles.
My solution video: https://youtu.be/5OpEuymjpAg (the first part has some interesting facts about 159 puzzles that you might need to solve this!)
Solution code: Row 8 then Row 9
Comments
on 16. June 2025, 16:29 by panthchesh
adding a solution to the puzzle
on 18. February 2023, 23:34 by Fool on Hill
Beautiful puzzle - interesting logic. I had the "Purple Frog"experience too - misread the rules, but fortunately when I corrected myself (a) most of the nice logic I had found survived and (b) there was a really good flow through the puzzle.
on 2. April 2022, 23:41 by SimplePurpleFrog
After misreading the rules about a dozen times, I finally got to grips with it! It was worth the heartache, such a beautiful puzzle. Hard but beautiful.
on 20. January 2022, 03:30 by riffclown
This is some truly inspired Indexing and Anti-Indexing.. Very nicely Constructed.
on 10. January 2022, 16:10 by Vebby
Really unusual and interesting logic! Took me a while to get a grip of it, but after that it flowed smoothly. Thanks Panthera :)
on 9. January 2022, 22:06 by Andrewsarchus
This is a great puzzle, with some very beautiful logic, and a very beautiful minimalistic look.
