Sir Squared and Paired
(Published on 26. July 2025, 18:48 by PhysicistFromFunen)
Click on the image to play!
Rules
Normal sudoku rules apply.Anti-knight: Cells a knight's move apart (in chess) cannot contain the same digit.
Killer cages: Digits in cages may not repeat.
In this puzzle, cage totals (the sum of the digits within a cage) come in pairs; an integer and its square. No cage is unpaired and each pair may appear only once.
For clarity, a digit can appear as a cage total twice; once as the un-squared part of a pair and once as the squared part.
Play on SudokuPad!
Solution code: Box 2, in reading order.
Comments
on 27. July 2025, 16:10 by ordnanceordinance
Not sure if I missed that each pair can only be used once when I first tried, or if that was part of the updated rule clarification. But I was stuck for like 20 mins yesterday without a single digit.
With the clarification I was able to solve the puzzle much more easily. Smooth solve and nice construction! I think 2.5 stars
-- PFF: Thanks a lot! I'm glad to hear that the clarification is now, well, clarifying :) Thanks to VitP and SKORP17 for pointing it out!
on 27. July 2025, 14:35 by PhysicistFromFunen
Increased the estimated difficulty to 3 stars and rewrote the clarification.
on 27. July 2025, 10:30 by VitP
i'd say this is harder than level 2.
in order to construct the 9^2 cage, i needed to use the tesseract, and people just do not appreciate how HARD it is to acquire the space stone.
on 27. July 2025, 04:02 by Exigus
Very nice construction and interesting logic. Thanks!
-- PFF: thanks a lot for solving and the nice comment!
