(Fake driving licenses.) In 2017, the transition to RFID-based electronic drivin

Question

(Fake driving licenses.) In 2017, the transition to RFID-based electronic driving licenses has been completed in BC. This has also led to a surge in fake driving licenses. The new driving licenses have an identi?cation code (associated with a driver) that cannot be read easily but ICBC has decided to employ a device that can take two electronic licenses and verify if they contain the same identi?cation code. The identi?cation codes are supposed to be unique and this veri?cation is the only way to identify fake licenses. You have been hired by ICBC to develop an e?cient method of using this device to ?nd duplicates. Given n electronic licenses, can you develop an e?cient (O(nlogn) uses of the veri?cation device) algorithm to determine if more than half of the licenses provided contain that same identi?cation code?

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