Trapped by a Killer
(Published on 25. November 2021, 00:00 by SudokuExplorer)
Each row, column and 3x3 box contain the digits 1 to 9.
Standard killer rules apply.
Digits cannot repeat in a cage and sum to the number in the top-left corner of the cage.
You can try this on Penpa+, F-Puzzles, SudokuLab or CTC-App. Enjoy!
Hint 1': Compare 3 rows and 3 columns with 6 boxes.
Hint 1'': Compare rows {1,5,9} and columns {1,5,9} with boxes {1,2,5,6,7,9}. See https://f-puzzles.com/?id=ydm3r8tk
Hint 2: Keep a count of how often a digit can occur in the two coloured regions (Red vs Yellow+2xGreen). They must have the same multiplicity.
Solution code: Enter the 7th row and 8th column
Comments
on 4. December 2021, 18:30 by Aaronomys
It took me three attempts in this puzzle to finally place a pencil mark! That was very tricky, but also really fun and elegant. Thank you!
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As they say, third time's the charm! I'm really pleased you found the break-in and enjoyed the remaining solve :-)
on 30. November 2021, 10:53 by Piatato
Stunning idea, and a great puzzle!
on 27. November 2021, 14:21 by SudokuExplorer
@FryTheGuy: You're welcome! I'm pleased to hear that you enjoyed discovering the logic :-)
@katsudon1cho + @TimE: I was also pleased to make this logically work with so few cages. Well done in finding the logical solve path! :-)
@Inanbana: Congrats on eventually discovering the logic! I'm really glad it was worth your time. :-)
on 27. November 2021, 02:05 by TimE
Very elegant! So few cages yet a clear logical solve path!
on 26. November 2021, 20:03 by Inanbana
I tried everything and it took me so much time to break but it totally worth it. Very nice puzzle!
on 26. November 2021, 06:35 by katsudon1cho
I couldn't believe this puzzle has an unique solution with such a minimal constraint! I am proud of myself solving without looking at the hint. Absolutely loved it!
on 26. November 2021, 00:33 by FryTheGuy
Thanks for this wonderful puzzle! A lot of the logic felt very original :)
on 25. November 2021, 23:42 by SudokuExplorer
@Dentones: Thanks for the informative feedback! I'm really pleased to read that it was a helpful solving experience. That was the intention with this one; to solidify the understanding of that solving technique. :-)
on 25. November 2021, 17:31 by Dentones
This one really made me reconsider how I should employ the tricks I know (or at least thought I knew...) Very Nice!
on 25. November 2021, 16:57 by SudokuExplorer
@PotatoHead21: Thanks a lot! I'm really pleased to hear that you spotted all the logical steps :-)
@Playmaker: Thanks for the lovely feedback! I'm pleased that you enjoyed the logic and found it to be a thought-provoking solve :-)
@polar: Cheers! I'm really glad you enjoyed the killer sudoku, especially the break-in :-)
@cdwg: Thanks! I'm glad that you found the steps to be intuitive and that you managed to unlock the cages unlike one of the "trapped" digits ;-)
on 25. November 2021, 06:09 by cdwg2000
Very elegant intrusion, step by step, fall into the author's carefully designed "trap", great!
on 25. November 2021, 04:46 by polar
Wonderful puzzle and break in thank you! :)
on 25. November 2021, 03:39 by Playmaker6174
Wowie, that was a very beautiful (and intricate) puzzle, after the break-in I was quite slow but the main trick really helped me a lot here. Wonderful construction! ;)
on 25. November 2021, 02:20 by PotatoHead21
Amazing puzzle. It is very hard but thankfully I knew exactly what to look for in this one.
