Apply normal sudoku rules. The digit on the center of each "derivative line" with value N has all adjacent digits on one side summing to N² and the other side summing to 2N. Which side has which sum must be determined.
Solve on sudokupad (with answer check)
Enjoy!
Solution code: Row 1
on 22. March 2024, 21:15 by ___
clarified rules (added "all" to the wording of adjacent digits). also updated puzzle link to include answer check
on 22. March 2024, 20:47 by kublai
Please give an example. Every adjacent pair along the line? What about the lines that are only one cell long? Or do you mean that all the digits on the line to one side sum to 2N and all the digits to the other side sum to N^2?
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the latter (all of the digits) - so for a one cell line the central digit could be 1,2,3 and the ends could be 1,2 or 4,4 or 6,9