Crush BETA
(Published on 18. April 2024, 10:00 by dodomos)
Standard Sudoku rules basically apply.
Fill every empty cell in the grid with a digit from 1-9 in a certain order, such that no digit repeats in a row, column or box.
For any situation where a digit needs to be filled in, if the digit filled in that position exists in the first filled digit visible on the diagonal at that position, the digit cannot be filled in. The given digit are considered as filled in digit.
Play this puzzle on SudokuPad
The diagram below is an example of some possible scenarios when you want to fill in the blue 2, where ○ represents that you can fill in, and × represents that you cannot fill in. Please note that during the problem-solving process, you need to pay attention to all four diagonal directions. You can use a pencil to mark which cells can only be filled with a certain digit, even if that digit cannot be filled in the current situation.
Solution code: Row 5 and Column 5
Comments
on 21. April 2024, 05:18 by dodomos
Changed the rule description to make it clearer.
-THX @Myxo
on 19. April 2024, 09:28 by Ocean
The first half is same as anti-king rule, where the second half is solved-path-dependent. I think path-dependent ruleset is interesting, but in the second half of this puzzle the rule is just used once to avoid deadly pattern. Hopefully there will be other path-dependent puzzle.
on 18. April 2024, 23:08 by vitaminz
I’m not sure I understand the logical consequences of this ruleset (other than an anti-king restriction). It appears that it provides no content other than directing the solver where to mark - for if I know that a digit can only be X by sudoku rules, not being able to fill it in does not make it possible to be another. And the only time this truly limits the possibility on another cell is when they are adjacent. Indeed I could use the known 9 in box 6 immediately, even though I can’t fill it in, on the assumption that there is a valid solution (not necessarily a unique one).
on 18. April 2024, 22:15 by Myxo
Really cool puzzle! I think it works exactly as the author intended, and it's a cool idea. Please check it out despite the rating!
on 18. April 2024, 19:18 by abadx
@coreydixon, this puzzle is not really an anti-king puzzle, as the order of number placing matters. Once this condition is taken into account, solution is unique.
On the other hand, I don't really like this variant as number availability depends on the solving path and usually a solving path is not unique. Anyway I would love to see how it works on a more complex puzzle
on 18. April 2024, 16:49 by coreydixon
Solved all of the odd digits by treating this like an anti-kings move puzzle. The even digits then did not seem to have a constraint that I could easily discern and ended up bifurcating. My first path gave me a deadly pattern, so going with the only other option gave me the correct solution.
on 18. April 2024, 12:44 by Rawcoder
I'm sure i'm missunderstanding the rules here, but how can I put a 9 in box 2? From a normal sudoku ruleset I could put a 9 in r1c6 but it sees the 9 in box 3.
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After you have placed a number at r2c7, you can fill in 9 at r1c6
on 18. April 2024, 12:00 by 9Rookienumbers
I don't think I fully understood the rules... halfway through it felt like a dead end, so I just made a decision and went for it, but I feel I could have made a totally different choice and not violate the rules
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For this sudoku I only designed one logical path for use with the rules to ensure a unique solution, and the order in which the numbers are filled in outside of that path theoretically doesn't affect the answer (though they need to be filled in all the way long after they're determined, due to the rules).
