Rules: Insert a number in some cells so that each outlined area contains at least one number. Each number represents the number of cells containing a number in that area. Two numbers connecting across a region boundary must be unequal. All numbers, including the givens, must form one, connected area with no 2x2 areas of numbered cells. Also, conversely, no 2x2 area can have all empty cells. Some numbers may already be given.
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