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? Answer in Integer