Normal sudoku rules apply. Yin Yang Doublers: Shade some cells in the grid such that all shaded cells are orthoganally connected and all unshaded cells are orthogonally connected. No 2x2 may be all shaded or all unshaded. A shaded cell has a value equal to twice its digit. An unshaded cell has a value equal to twice its digit minus one (double the digit first, then subtract one). Uniqueness: On each of the constraints below, values do not repeat anywhere in the puzzle. For example, if there is a shaded 5 (value 10) on a renban, shaded 5 can't appear anywhere else on a renban, but unshaded 5 could because it has a value of 9. Renban: Values on a purple line form a set of consecutive numbers with no repeats. Arrows: Values along an arrow sum the value in that arrow's circle. X: Two cells joined by an X have values that sum to 10. Black Dots: Two cells joined by a black dot have values where one is double the other.