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0. (10 pts) A safe has a key pad with digits 0 to 9 on it. When a user enters the correct combination, the safe

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0. (10 pts) A safe has a key pad with digits 0 to 9 on it. When a user enters the correct combination, the safe opens, otherwise it flashes a red LED three times and remains locked. The correct combination may contain 3, 4, or 5 digits, which is set by the safe's owner. If it takes 1 second to try one combination, what is the total amount of time for someone to open the safe with brutal force in the worst case? (4 pts) Copyright by Shengli Yuan. All rights reserved. 2

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