Uniqueness or Bust
(Published on 2. August 2024, 09:40 by juggler)
1. Uniqcages (★☆☆☆☆)
Digits in a cage don't repeat, and each cage sums to N. Pick a value for N such that the resulting puzzle has a unique solution. Then solve it.
2. Uniqking (★★☆☆☆)
An "anti-king" digit is not allowed to repeat in two cells which see each other by a king's move. Select zero or more digits from 1-4 to be anti-king digits such that the resulting puzzle has a unique solution. Then solve it.
3. Uniqkropki (★★★☆☆)
Digits separated by a white dot have adjacent values. Digits separated by a black dot have values in a 2:1 ratio. Place one additional kropki dot such that the resulting puzzle has a unique solution. Then solve it.
4. Uniqconsecutive (★★★★☆)
Digits on a pink line form a consecutive non-repeating set in any order. Extend the line by one or more cells such that the resulting puzzle has a unique solution. Then solve it.
Solution code: The digit in r4c4 of each puzzle
Comments
on 19. December 2024, 23:44 by chameleon
I don't think that I solved any of the puzzles except for the 3rd one logically, but surely I enjoyed all of them!
on 31. August 2024, 15:23 by The Book Wyrm
Utterly bonkers (but very cool) set of puzzles. Very weird, and not sure I did them entirely logically, but interesting none the less.
on 4. August 2024, 17:09 by DubiousMobius
This was a really delightful series. I don't think I've solved anything that so perfectly bridged the gap between setting and solving. Thanks for sharing!
on 3. August 2024, 19:00 by Flinty
Very clever, loved this series of puzzles.
on 3. August 2024, 11:53 by Lulero
Really awesome execution as always. It feels like this kind of "uniqueness construction" brings a fresh way to think about the various rulesets. Takes a bit to get used to but that's my favorite kind of constraints, thank you once again for sharing <3
on 3. August 2024, 03:43 by geekpuzzles
Struggling so hard to find a line that will disambiguate the hidden pair on the final puzzle :O
on 2. August 2024, 23:05 by Fool on Hill
Some seriously cool ideas here - remarkable that they all solve uniquely ... the last one is probably the best 4x4 I have ever solved.
on 2. August 2024, 22:21 by ThePedallingPianist
This is such an elegant set of uniqueness puzzles, and a perfect demonstration of why small grids can be so beautiful! The last one in particular is sublime for such a small idea!
