Three contestants each pick a positive integer, and the smallest number picked by exactly one person wins a car. How should you choose your number?
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A company runs a competition to win a car. Each contestant picks a positive integer; the smallest number chosen by exactly one person wins. If no number is unique the company keeps the car and the contest is not rerun. There are exactly three contestants (you are one) and everyone knows this before choosing. How should you choose your number?
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