The Root of all Sudoku
(Published on 21. February 2025, 20:22 by pecha_berrie)
Hello solvers! I wanted to play around with some math-based rulesets today, and I have come up with this puzzle involving square roots! I am sure something like this has been done before, but I thought it would be an interesting experiment if nothing else. Please let me know what you think, and have fun solving! :)
Without further ado, here are the rules!:
- Normal sudoku rules apply.
- Anti-knight rule: cells a knight's move apart in chess cannot contain the same digit.
- Square roots: Under each square root symbol (within each cage) lies a two-digit perfect square number, read from left to right. One of the two cells above that square root symbol must contain the square root of the respective perfect square below it.
For example, if 4,9 are under the square root symbol, then there must be a 7 in one of the two cells above that 4 and 9.
- Negative constraint: No other two-digit perfect square numbers exist within the puzzle; for example, outside of a square root symbol, 3 cannot be to the left of 6, or else it would make 36 when read from left to right.
Here you can solve the puzzle online:
Solution code: The digits along the first row, with no spaces.
Comments
on 23. February 2025, 17:34 by itsid
that was fun, thanks a lot!
on 22. February 2025, 16:39 by Zerobrain
Nice Math exercise.
