Build Your Own Killer: High Pressure
(Published on 14. September 2022, 22:27 by Playmaker6174)
For previous entries of the concept, check out:
Rules:
- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.
- A given one-cell cage is used to construct a real killer cage that starts from that cell and goes straight horizontally or vertically in the direction of the given arrow in it, the length of each cage is to be deduced (the limit one can reach to is the 9x9 grid borders). Once a cage is finished, digits within that cage sum to the small number written in that cage.
- There are two types of color: red and blue.
+ If a red cage has the length of N cell[s] then that red cage must contain digit N (which can be anywhere within the cage).
+ If a blue cage has the length of N cell[s] then that blue cage must not contain digit N.
Note: there can be some occasions where a cage is one cell long, and some cages can overlap each other regardless of their colors.
Some of the examples in the following image:
(+) For red cage, the 20 red cage can be 3 cells long or 4 cells long with configurations like in the image.
(+) For blue cage, the blue 8 cage can be only 1 cell long (contains only digit 8, which is possible), can be 2 cells but mustn't contain digit 2 in it.
The blue 10 cage can't be 1 cell long because 10 is not a single digit, and can't be 4 cells long because the only way it works is with 1+2+3+4 cage, but it contains a 4 and is a blue cage so it's not valid.
The blue 12 cage can only be 2 cells long or 3 cells long because of how close it is to the border.
Puzzle:
Good luck and have fun solving!
Solution code: Column 3 (top to bottom) and the first two rows (left to right then top to bottom for each row) of box 2, 15 digits long with no space
Comments
on 23. September 2022, 13:22 by Playmaker6174
Thank you all for the wonderful and lovely feedback! It was quite a struggle to get this puzzle work properly, considering I had to force changing some of the intended logic to make it satisfactory at the end, and I’m really glad to see the final product :)
on 21. September 2022, 11:51 by Piatato
Fantastic puzzle throughout — thanks for making this great masterpiece!
on 20. September 2022, 01:48 by twototenth
Absolutely amazing. My brain is too exhausted to muster anything more eloquent than that, but it was worth it.
on 19. September 2022, 02:43 by BHUNTER47
This was my 200th solve on Logic Masters Germany, and I can't think of a better puzzle to have for that milestone. Beautifully set!
on 16. September 2022, 20:23 by Jesper
Brilliant, thanks!
on 16. September 2022, 19:27 by Agent
Cool puzzle, very tricky start and smooth ending. Thanks!
on 16. September 2022, 15:19 by MagnusJosefsson
Great puzzle! Very nice clear but tight solution path. Difficulty hard 4 stars or easy five stars. Thanks Playmaker!
on 16. September 2022, 13:44 by lerroyy
Great puzzle! thanks
on 15. September 2022, 16:20 by marcmees
Some nice deductions with red squares to start but getting tougher near the end with the blue ones. loved it. thanks.
on 15. September 2022, 00:58 by ONeill
Very nice! I enjoy this ruleset a lot :)
on 14. September 2022, 23:03 by Vebby
Loved testing this, absolutely brilliant puzzle! Left me shaking my head in wonder in a few places. Best of the series so far imo.
