Seven of Nine
(Published on 2. July 2022, 20:02 by SenatorGronk)
- Standard sudoku rules apply
- Each 7-cell cage has a different sum and is adjacent to a 2-cell cage whose digits when read left-to-right or top-down equal the sum of the larger cage. Ex: A 7-cell cage with a sum of 31 must be adjacent to a 2-cell cage with the digits 3-1.
- Digits in cages cannot repeat.
- The cell with a gray square contains an even digit.
This is a very close variant of a puzzle I made in December 2021 called Seven Wonders. The two puzzles have the same constraint about large and small cages, but this one provides some given digits while the earlier one layered on additional constraints. I think this one is a better version of the idea, but it has a much tougher break-in.
The intended solution path doesn't require any more arithmetic than would be expected in an average killer/little killer puzzle, and you shouldn't need to mentally iterate through lots of permutations of digits for the large cages.
F-puzzles
CtC
Solution code: Row 3 + Column 2
Comments
on 13. September 2022, 16:55 by SenatorGronk
Rule clarification
on 3. July 2022, 07:08 by Ood
Nice
on 3. July 2022, 00:50 by marcmees
Nice one but didn't consider the break in tougher. Nice lay out with digits from 1-9 in the central cells. thanks.
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Thanks -- the central cells all being different is key. The puzzle can actually be solved without the extra 3 in Box 3, but you'd have to prove that there's only one set of eight sums that works which I don't think would be fun.
And I think the palindromes in the earlier version let people place the first digits of the small cages without having to do too much work.
on 2. July 2022, 23:35 by SKORP17
mir ist nicht klar, ob adjacent bedeutet, dass die Cages aneinander grenzen müssen, oder ob die 2/7 Cages beliebig verteilt sein können.
Response: The sum of each large cage can be found in an adjacent 2-digit cage. Imagine the large cage in Box 1 had a sum of 31. One of the three small cages it is adjacent to must have a 3-1 in it, with the 3 in the left/top cell.
danke, das hatte ich mir auch gedacht
