Disturbed Balance
(Published on 19. December 2022, 20:35 by lepton)
Rules
The digit 1 must appear exactly once in every row and column. One is not part of either side or any region.
Divide remaining cells into two groups, the light side and the dark side, such that all light cells are connected and all dark cells are connected. No 2x2 block may be fully light or dark.
The digits 2-9 must appear exactly once in each row, column, and region. A region is an orthogonally connected group of cells that must be determined by the solver. Each region is entirely light or dark.
A digit in a circle belongs to light side and indicates the number of light cells in the line of sight of the digit including itself. A digit in a square belongs to dark side and indicates the number of dark cells in the line of sight of the digit including itself. Not all circles or squares are necessary given.
Numbers outside the grid are sandwich clues, which tell the sum of digits in light cells between 1 and 9 in the corresponding row or column.
5x5 Example
Example with smaller grid size. Sandwich clues show the sum of light cells between 1 and 5.
Solution code: Row 5 followed by column 5, no spaces
Comments
on 13. February 2023, 17:13 by polar
Awesome puzzle thank you!
on 21. December 2022, 15:39 by MagnusJosefsson
Wonderful puzzle! Very enjoyable and satisfying!
on 21. December 2022, 02:59 by KevinTheMH
Fantastic puzzle!
Really easy to make mistakes
on 20. December 2022, 20:29 by marcmees
brilliant. thanks.
on 20. December 2022, 15:11 by wildbush7
Fantastic puzzle, really liked this rule set!
on 20. December 2022, 05:06 by Leonard Hal
Very nice!
on 20. December 2022, 02:40 by ONeill
Very nice puzzle! Easy to make mistakes with 1 not being light or dark.
