Yin Yang: Shade some cells such that all shaded cells are orthogonally connected, all unshaded cells are orthogonally connected, and no 2x2 area is fully shaded or fully unshaded. Digits in shaded cells count as double their value for the purposes of sums. Digits in unshaded cells count their normal value. Digits cannot repeat in cages (though effective values may repeat, such as a doubled 1 and regular 2). Every cage contains at least one shaded cell and one unshaded cell. In each cage, the sum of values in shaded cells equals the sum of values in unshaded cells.
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