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1000 people sit in a circle. Person 1 shoots person 2 and passes the gun to person 3, who shoots person 4, and so on, skipping the dead. Who is the last one left?

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1000 people sit around a table, numbered 1 to 1000. Person 1 holds a gun, shoots person 2 and hands the gun to person 3. Person 3 shoots person 4 and hands the gun to person 5, and so on around the table, skipping the dead. Who is the last person left?

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