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CN-LEAGUE 1999 Problem 2

    The number of intengral points (x,y)(x,y) that fit (∣x∣−1)2+(∣y∣−1)2<2(|x|-1)^2+(|y|-1)^2<2 is (A)16(B)17(C)18(D)25\text{(A)}16 \text{(B)}17 \text{(C)}18 \text{(D)}25

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