Under the Influence
The brief
Normal sudoku rules apply.
INFLUENCER CELLS: The grid contains nine 'influencer cells', each in a different row, column and box, and each containing a different digit.
Every cell in the grid has a value equal to its own digit plus the digits in any orthogonally adjacent influencer cells.
Eg: a cell containing a digit 2 would have a value of 10 if it neighbours an influencer 3 and an influencer 5, because 2 + 3 + 5 = 10.
CAGES: The small clue in the corner of a cage indicates the total value of the cells in that cage.
REGION SUM LINES: 3 x 3 box borders divide blue lines into segments. The values on each segment have the same sum, though this sum can be different for different lines.