Logic Masters Deutschland e.V.

Sorry, That Sum Is Taken

(Published yesterday, 18:47 by PhoenixAki)

This puzzle was originally made as a gift for fellow setter sujoyku for a Secret Santa event in December 2025. They have graciously given me the OK to post the puzzle as a standalone release here now, which I'm excited to do! This may be my favorite puzzle I've set so far, and if not, certainly the one I'm most proud of because I was in quite over my head with the concept at first but managed to make it work with a solve path that feels very natural and elegant. Estimated 2* based on feedback from sujoyku after solving it.

Solution videos to my puzzles are posted on my YouTube channel. Try to solve without referring to it first :) I include this here as an option to increase accessibility to my puzzles. I should be able to upload this one within the next 24 hours. Happy solving!


Rules:
  • Normal sudoku rules apply: Place the digits 1-9 once each in every row, column, and bold-outlined 3x3 box.
  • Killer Cages: Cells surrounded in dotted-line cages must sum to the total in the top left corner, if given. Some are entirely ambiguous and some are given as strict inequalities. For example, a cage that says "> 35" in its top left would have a sum higher than 35 (and not 35 itself).
  • Region Sum Lines: Box borders divide lines into segments. Each line's segments must share the same sum.
  • Sum Uniqueness: Each sum can appear at most once in the puzzle. This rule applies to killer cages and region sum lines. For example, if a region sum line is determined to have its segments sum to 6, no other line can do the same, and no cages may sum to 6.
  • Kropki Dots: Cells connected by a black dot must have one digit double the other. Cells connected by a white dot must have the digits be consecutive.
Solve on Sudokupad here! Everyone is welcome to solve this on a stream or video, but I would prefer you let me know when such a thing happens so I can check it out (DM me on Discord, same username phoenixaki) :)

Solution code: box 1 in normal reading order (left to right, top to bottom). 9 digits.


Solved by SennyK, Calvinball, goodcity, Piff, HeyItsErin, jalebc, SKORP17, Sktx, wuc, gdc, tallcat, thomamas, SudokuHero, Oripy, Dermerlin, keenbowl, JuiceGoneWild, Alce, milxqueen, Killer-Ly , Adrian71, ... Mutiny, nmmc123, Steven R, mathpesto, vitaminz, Joyofrandomness, Elizy, brimmy, achim-t, nordloc, Debba, Sandy329, wjdrumm, Silentdodo, Prince Joffrey, zenas777, EFlatMinor, zrbakhtiar, shottik
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Comments

yesterday, 19:56 by tallcat
Very enjoyable and a smooth solve path!

yesterday, 19:39 by wuc
Very smooth. Didnt catch that cages anf lines interact on uniqueness first. From there very nice approachable. Great fun thx.

yesterday, 19:30 by HeyItsErin
Really fun puzzle! I can see why it’s one of your favorites.

yesterday, 19:05 by SennyK
Fun and clever easy puzzle!

Difficulty:2
Rating:98 %
Solved:74 times
Observed:1 times
ID:000QR8

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