Sudoku Variants Series (188) - Pandigital Sums Sudoku
(Published on 4. July 2017, 00:00 by Richard)
Pandigital Sums Sudoku
Inspiration for this type comes from WSC 2006.
Solve online in Penpa+ (thx Nick Smirnov!)
Place the digits from 1 to 9 once in every row, column and 3x3-block. Some rows and columns represent arithmatic equations with three 3-digit-numbers. Numbers are read from left to right or from top to bottom. The equation for column 5 could be for example: 468 – 173 = 295.
Note: The number of possible pandigital sums is limited and all these sums have one thing in common. If you realise what these sums have in common, this puzzle becomes much easier.
Solution code: Row 4, followed by column 3.
Comments
on 14. August 2022, 08:14 by Richard
Added tag and link for online solving. Thx Nick!
on 16. September 2021, 15:46 by Nick Smirnov
Penpa:
https://git.io/JuAGl
on 16. September 2021, 10:49 by Nick Smirnov
@Richard, thank you, that's a relief. Once again I totally misunderstood the rules, sorry.
on 15. September 2021, 20:16 by Nick Smirnov
@Richard, is it true that in every band at least one of the rows must satisfy the equation, and in every stack at least one of the columns must satisfy the equation?
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Answer: only the rows and columns in which the equation signs are have to contain valid equations. (Thus: only rows and columns 2, 5 and 8.)
on 16. May 2020, 06:04 by Richard
@Circlconstant: that is indeed what is mentioned here. I learned something myself constructing this one.
on 6. July 2017, 17:37 by dm_litv
@Hemant:
A more appropriate word would be a "property", not a "thing".
A certain (very) well-known mathematical fact.
on 6. July 2017, 14:20 by Hemant
Can you please explain what the common thing is?
on 5. July 2017, 11:02 by Skinny Norris
Richtig schön! Vielen Dank!
on 5. July 2017, 09:25 by Richard
@tuace: that is exactly the common thing I had in mind!
