HMMT 1999 V2
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- Answer
Stacy has dollars. She enters a mall with 10 shops and a lottery stall. First she goes to the lottery and her money is doubled, then she goes into the first shop and spends 1024 dollars. After that she alternates playing the lottery and getting her money doubled (Stacy always wins) then going into a new shop and spending . When she comes out of the last shop she has no money left. What is the minimum possible value of ?
Dataset text NuminaMath olympiads. Quoted with source.
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1023
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