Moogli enters Louis's den to steal a bunch of bananas for himself and his friends. But there are three monkeys that guard the den at different checkpoints. Corrupt as they are, each accepts a bribe from Moogli. At each checkpoint, Moogli gives them half the bananas he has and then adds 2 more on top of the pile. By the end of this ordeal, the last monkey guard gets one banana. How many bananas did Moogli have to begin with?
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