Polarity (10x10)
(Published on 8. March 2023, 15:42 by M.K.)
Rules:
- The grid is covered with fog. There's one initial light source illuminating the darkness. Place correct digits to get more light.
- Every row and column contains the digits 0 to 9 once each.
- Digits separated by a white dot are consecutive. Digits separated by a black dot are in a 1:2 ratio. Not all dots are given.
- Digits in a cage cannot repeat and sum to the given total. A cage total always appears in the leftmost cell of the top row of its cage.
- Symbols outside the grid are magnets. A magnet attracts and repels digits along the row/column it's looking at. A plus (+) attracts even digits and repels odd digits. A minus (-) attracts odd digits and repels even digits.
- Digits swap their positions depending on their weight and the magnetic force affecting them.
Example: If r3c3 was a 6, it would swap its position with the given 4, as the 6 is pulled to the left and weighs more. If r3c1 was a 5, the digits would swap because the 5 is pushed to the right.
- Cages are magnetic shields, ie magnets cannot see digits inside or behind a cage. Each magnet sees at least two digits.
- All possible magnets are given.
Link: Cracking The Cryptic
More 10x10 variants can be found here.
Solution code: Row 6 + Column 9
Comments
on 27. February 2024, 14:23 by M.K.
Removed tinyurl link.
on 13. March 2023, 10:07 by e-dur-sarabande
Brilliant puzzle. Thoroughly enjoyed it.
on 10. March 2023, 10:01 by Ormstunge
Please remember that column 9 is the second outer column on the right and not the furtherst out like in a ordinary sudoku. Spent litteraltt 5 minutes checking and double checking that my digits in the solution code was corresponding with the last column before realizing I had to take column 9 instead. Very enjoyable puzzle, probably one of the hardest I have ever solved on my own in here.
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Playing with expectations is an ongoing theme in my puzzles, e.g. the first cage discovered here has the purpose to remind the solver that it's not a normal sudoku. This can be mean sometimes, but that's the challenge. I'm glad you enjoyed it. (M.K.)
on 8. March 2023, 19:50 by M.K.
Typo fix.
