Normal sudoku rules apply. The grid is covered in fog. Placing a correct digit will remove the fog from its cell and possibly other cells in the grid. One cell in each row, column and box is a doubler. The value of a doubler cell is equal to twice its digit. Each of the digits from 1 to 9 appears in a doubler cell. On each of the constraints below, values do not repeat anywhere in the puzzle. For example, if there is a 2 on a parity line, 2 or double 1 can't appear anywhere else on a parity line, but double 2 could because it has a value of 4. 1) Adjacent values on a thin green line differ by at least 5; 2) Values on a thick purple line form a set of consecutive numbers with no repeats; 3) Adjacent values on a hollow red line must alternate between odd and even; 4) A value on an orange circle must be greater than 5; 5) A value on a blue square must be lower than 5.