h a l f b a k e r yI like this idea, only I think it should be run by the government.
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marginal sums
use minor diagonal sums, in the margin, to infer 'possible' numbers on grid, solve grid.  
Sudoku with actual mathematics.
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Annotation:


A bit, but because the sudoku is setting the uniqueness frame , the diagonals can have repeating numbers unlike kakuro's verticals and horizontals.* 


* assuming my knowledge of both games is correct. 


Actually, any continuous shape on the Sudoku grid could have a bold frame and sum. A Tetris like Sudoku Kakuro hybrid. 

 