Square Tetris
(Published on 25. July 2021, 22:08 by Burning Curtains)
Digits may not repeat within cages; Every cage sums to a square number (eg. 0, 1, 4, 9...)
There are 9 hidden zeros throughout the grid, which count as 0 for the purpose of the cage sums. The hidden zeros follow the rules of sudoku (1 in every row, column, and box), and consist of all the digits 1-9 once each. Hidden zeros may not repeat within cages.
Exactly one cage also functions as a renban line (digits are consecutive in any order i.e. 1,3,2,4).
Exactly one cage nontrivially (cage size must be greater than 2) functions as a thermometer (digits increase from one end of the cage to the other, but don't have to be consecutive i.e. 3,5,8,9). The thermometer may not contain diagonals but all other arrangements within a cage are valid.
Note: Hidden zeros are considered 0s on renban lines and thermometers
Clarification: Hidden zeros are not required to be in a cage
https://f-puzzles.com/?id=yzq2upf8
Solution code: Row 4
Comments
on 19. August 2021, 02:02 by marcmees
truly one of the nicest puzzles recently made. Thanks.
on 26. July 2021, 22:42 by Burning Curtains
Added the tags again, not sure why but it got rid of them when I made an unrelated edit. I guess I just need to remember to add them whenever I change anything
on 26. July 2021, 21:34 by CJK
I am sorry, but the sudoku tag is not added yet :/
on 26. July 2021, 20:30 by Burning Curtains
Clarified rules (Hidden zeros are not required to be within cages)
on 26. July 2021, 17:23 by DiMono
Rule clarification: are all hidden 0s in cages?
Also: is it important to know whether 1-cell cages can be hidden 0s and therefor any digit?
on 25. July 2021, 23:17 by Burning Curtains
Added tag
on 25. July 2021, 22:11 by CJK
Since this is a sudoku puzzle, could you please add the sudoku tag?
