Normal sudoku rules apply. One cell in every row, column and box is a doubler. This cell counts as double its value on the lines. Each of the digits 1 to 9 appears exactly once in a doubler cell. One cell in every row, column and box is a tripler. This cell counts as triple its value on the lines. Each of the digits 1 to 9 appears exactly once in a tripler cell. Doublers and triplers do not share cells and no doubler or tripler cell is within a king's move of any other doubler or tripler cell. Lines are Region Sum Lines: the values of the digits on each line segment within a different 3x3 box must sum to the same total (say a total of X). If a line passes through a box more than once, each line segment in that box must sum to X separately. Each blue lines may have a different value for X.