Question
You have ordered the newest video game system, which is very hard to find in stock. You ordered from the South American Rainforest Company, which
You have ordered the newest video game system, which is very hard to find in stock. You ordered from the South American Rainforest Company, which sells video game systems, banana slicers, sugar-free gummy bears, and tee shirts with a picture of three wolves howling at the moon on them. Among other innovative business practices, SARC has a unique delivery system. Instead of delivery to your door, orders are dropped off in drop boxes. In your town, there are five drop boxes, numbered 1 through 5. SARC notifies you via their mobile app that your package is in one of the drop boxes. They also give you a security code that will open any of the drop boxes, but will only work once, and only during business hours today. That means you can check only one box today. Tomorrow SARC will give you a new code that will open any one box, during business hours, tomorrow only. They will do this each day until you actually get your package. As part of this innovative business model, each night, actor Steve Guttenberg (he has nothing better to do these days) moves the package from one box to another, always to an adjacent box. So if the package was in box 3, Guttenberg could move it to box 2 or box 4. He never moves the package from box 1 to box 5 or box 5 to box 1. If it is in box 5 one day, he must move it to box 4 the next day. From box 4, he can move it to box 3 or box 5 again, and so on. How do you get your package? What is the longest it could take to get your package if you use the best strategy
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