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Slovak Sums (Half Liar) (1239)
Instruction:
Place numbers into white cells so that exactly the specified set of numbers appears in the white cells of each row and column. Cells may remain empty. A cell cannot contain more than one number. Some clues are given in shaded cells. Each clue describes the contents of the clue cell’s neighbors (white cells that share an edge with the clue cell). The number in the clue indicates the sum of the numbers in its neighbors. If there are circles shown beneath the number, the count of circles indicates how many neighbors should have a number placed in them.
For each clue, either the number is incorrect and the circle count is correct, or the number is correct and the circle count is incorrect.