Normal sudoku rules apply. There is exactly one Doubler cell in every row, column, and 3x3 box. These cells contain a full set of the digits 1-9 and do not overlap with the Body Snatcher cells. A Doubler cell's value is twice the value of the digit in that cell. There is exactly one Body Snatcher cell in every row, column, and 3x3 box. These cells contain a full set of the digits 1-9 and do not overlap with the Doubler cells. Body snatcher cells count as exactly one higher, or one lower than the value of one of the cells they are orthogonally adjacent to and that cell must be in the same box as the Body Snatcher it's parasited by. Each purple line contains a set of consecutive, non-repeating values, which can appear in any order. Digits can repeat on a purple line as long as no value ends up repeated on the line.