Logic Masters Deutschland e.V.

Staircases

(Published on 10. June 2024, 18:21 by Chilly)


I was playing around with some outside clues and I thought that this 'staircases' constraint could be quite interesting. I made a puzzle to see how it would work, and I think it turned out quite well. The rules are new (as far as I know) so I also made a 6x6 example puzzle, which you can try, and the example and solution are shown below. I think the difficulty varies between 3* and 4* according to the testers. Please enjoy.

The Rules:
  • Normal Sudoku rules apply.
  • Staircases: A clue X outside the grid indicates that there exists a staircase of length exactly X in the respective row or column. A staircase consists of a run of 2 or more consecutive digits, ascending in the direction from the clue. If a row or column has a 0 clue, there are no valid staircases in that row or column, in that direction. For example, if there were a 3 clue on the LHS of row 1, then row 1 could contain at least one ascending run of exactly 3 consecutive digits from left to right, e.g. 123, 345 etc. A run of 4 such digits (e.g. 3456) does not count. If a cell contains a square, it cannot be part of more than one clued run. Not all squares are necessarily given.


    Staircases by Chilly


    Link for solving 9x9 on SudokuPad


Staircases - playable example and solution


Link for solving 6x6 example on SudokuPad



Solution code: Row 9

Last changed on on 10. June 2024, 18:25

Solved by SKORP17, Bellsita, mercierus, steperlich, marcmees, lcy.30, fjam, DarthParadox, Andrewsarchus, PippoForte, Yaoning, Joyofrandomness
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Comments

on 4. February 2025, 13:31 by Yaoning
I've got a new understanding of the rule after solving this puzzle.
The number outside the grid is equal to the length of the longest staircase ascending in the direction from the clue in the respective row or column.
Because if there exists 2345, there must exists 234 and 23 at the same time. So shorter staircases are unavoidable.

on 11. June 2024, 17:40 by lcy.30
I did consider a lot of hypothetical cases when solving this puzzle.

Last changed on 12. June 2024, 11:07

on 11. June 2024, 14:03 by marcmees
nice. thanks

Glad you liked. I'm wondering if this is a little harder than the testers thought.

I think 3 * is correct. The opening move seems obvious with a nice flow afterwards (keeping in mind the negative constraint)

Difficulty:3
Rating:89 %
Solved:12 times
Observed:9 times
ID:000IGB

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