Normal sudoku rules apply.
Shade some cells dark gray and some cells light gray, such that dark gray cells do not touch each other orthogonally and there are exactly 10 light gray cells.
Digits in cells with arrows equal the number of dark gray cells in the direction of the arrow.
Draw a single closed loop through all remaining unshaded cells without arrows.
Digits in dark gray cells equal the number of adjacent cells (both orthogonally and diagonally) that are visited by the loop.
Digits in light gray cells cannot be equal to, one less than or one greater than the number of adjacent cells (both orthogonally and diagonally) that are visited by the loop.
A black dot between two cells means they are in a ratio of 1:2, a white dot between two cells means they are consecutive, a gray dot between two cells means they are either consecutive or in a ratio of 1:2. Between adjacent cells along the loop the negative constraint applies, in the rest of the grid it doesn't.
Solve online here: https://git.io/JswV6
Lösungscode: The digits on the loop in columns 2 and 3, followed by all of the digits in rows 3 and 6, followed by the number of dark gray cells in row 4.
am 19. Februar 2023, 14:33 Uhr von SudokuExplorer
Fun puzzle with a good flow! Thanks :-)
If it weren't for reading Magnus' comment, I probably wouldn't have tried it. I'd recommend removing the unnecessary rule regarding digits in light grey cells.
am 21. Mai 2021, 16:54 Uhr von MagnusJosefsson
I thought this was a very enjoyable puzzle. While the ruleset may seem very complicated, it all makes sense and flows nicely once you get into it.
I do no recall needing to use the restriction on the digits in the light gray cells, not sure if I am misremembering or if the restriction is not strictly needed.
-Thank you! I honestly have no idea if it's neccecary, i added that restriction before i added the kropki, this puzzle was essentialy just an experiment with the ruleset that turned out better than i thought so i posted it here anyway, too lazy to check for unneccecary clues in a puzzle that wasn't meant to be very hard anyway.
am 20. Mai 2021, 08:52 Uhr von henrypijames
Very intricate puzzle. Solution code still unnecessarily complicated (but at least clearly understandable).
-Thanks. It is that long because there are multiple points in the puzzle that you can mess up without interrupting the rest of the puzzle enough to change a short solution code. I don't normally like these long and complicated solution codes either.
am 19. Mai 2021, 19:39 Uhr von Lizzy01
Changed solution code
am 19. Mai 2021, 16:50 Uhr von henrypijames
I don't understand the solution code (and I think if a solution code needs an example, which is the case here, you've made it too complicated).
-is this better?