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This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2023. The accepted answer to this question will be awarded a bounty worth 50 reputation.

< Previous Door Next Door >


Task: Solve the killer sudoku

  • Normal sudoku rules apply
  • In cages, digits must sum to the small clue on the top left corner of the cage. Digits cannot repeat in a cage.

Solve on Penpa+

enter image description here

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5
  • $\begingroup$ Having seen the solution below, I still don't understand "dangerous". $\endgroup$
    – msh210
    Dec 3, 2023 at 12:37
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    $\begingroup$ @msh210 I think that it's just a reference to the "killer" part. I'm impressed that the puzzle uses precisely the numbers 1-24 exactly once each in order to resemble an advent calendar. $\endgroup$
    – Daniel S
    Dec 3, 2023 at 12:45
  • $\begingroup$ Yes, I am , too. $\endgroup$
    – msh210
    Dec 3, 2023 at 12:50
  • $\begingroup$ Ooh, I didn't realize that! That's very clever! $\endgroup$
    – justhalf
    Dec 3, 2023 at 12:58
  • $\begingroup$ That explains the "doors". $\endgroup$
    – Florian F
    Dec 3, 2023 at 19:40

1 Answer 1

13
+50
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Solved grid:

Solved grid

It was fun!

General solve path:

Start with the obvious one box clue R3C5 and R8C7, then to the 3-sum on C9. Then the 6-sum on top right box, which must be 1+2+3. The 4-sum on C1 is also solved.
Some general strategy is mostly to consider the possible numbers on a cage to get some sure possibilities (e.g., must be 5+7 instead of 4+8), and to consider that total sum in a 3x3 box is 45 (e.g., the mid right box, being covered with all sums, helped to deduce the 22-cage should have a sum of 13 in that box, so can put 9 in R6C6).
The longest stuck point was resolving the 20-cage on R3. Eventually I figured that it's either 4 or 9 in R4C1, but dunno which. But figured that 4 will lead to a 7+9 in the remaining two spots, which leaves only 4 as the valid candidate on both R3C6 and R3C7, a contradiction. After getting past that, it's easy again.

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