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    I must be missing something

    Test Case 1: N = 3, so there are three blocks labeled 1, 2, and 3. No matter how Kitty makes the first move, Katty will win. ( Not so ) If kitty chooses A=1 and B=3 on the first move and inserts a block labeled -2. the set of blocks becomes {-2, 2}. Katty then may choose the final result to be 4 or -4. The game ends Kitty is the winner..