Normal sudoku rules apply. Yin Yang: Shade some cells in the grid such that all shaded cells are orthogonally connected and all unshaded cells are orthogonally connected. No 2x2 may be all shaded or all unshaded. A cell that is a ‘doubler’ has value equal to twice its digit. Two Truths and a Different Truth: For all the following constraints, if shaded cells are treated as doublers and unshaded cells are normal then two of the clues are correct and the third is incorrect. If unshaded cells are treated as doublers and shaded cells are normal then the same two clues are incorrect and the third is correct: a) Renban: Values on a pink line form a set of consecutive numbers with no repeats; b) Arrows: Values on an arrow sum to the value in that arrow's circle; 3) Values on an X sum to 10; 4) Values on a white dot are consecutive. Values on a black dot are in a 1:2 ratio (ie one is double the other); 5) A value on a grey circle is odd. A value on a grey square is even.