Logic Masters Deutschland e.V.

I've been exploring the minimal sum constraint, and this is an introductory puzzle. If someone had done this before, please tell me in the comments, and I'll refer to the original. I'll possibly go on to create a series of puzzles combining the minimal sum constraint with other familiar constraints, or variants of this constraint.

Normal sudoku rules apply. Clues outside the grid indicate the smallest possible sum of X adjacent digits in that direction, where X is the first digit in that direction. For example, a row containing the digits 471938562 would have the clue 20 to the left (7+1+9+3=20), and 8 to the right (7+1=6+2=8).

CtC Link: here.

Below is an example illustrating how the rules apply in a 6×6 sudoku. You can try this yourself on CtC.