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Algebra Level pending

The duo (brothers Swae Lee and Slim) known as Rae Sremmurd has a new song that is hot right now in 2014 to many people. In some places, too many. In Tulepo, Mississippi, 18,000 super fans listen to their music all the time and plan to meet Rae Sremmurd. Unfortunately, only a maximum of two people can leave to meet them today, followed by four more people tomorrow, eight more people in two days, sixteen more people in three days and so on. How many days, including today, will it take for all 18,000 fans to leave Tulepo to meet Rae Sremmurd?


The answer is 14.

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