Anti-King Diagonal Kropki Sudoku

Sudoku with consecutive or double dots between neighbours. Cells that touch as a king moves cannot contain the same digit. Both main diagonals must also contain each digit once.
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Solve the sudoku. A white dot means neighbours differ by 1; a black dot means one is double the other. No dot means neither relation holds. Cells that touch as a king moves cannot contain the same digit. Both main diagonals must also contain each digit once.
Logic · Numbers · Deduction · Grid
Brain training · PuzGo