A crane with a 200 ft long boon and a 50 ft long rear boon has a lifting capacity of 10000 pounds. What amount of weight should it have on the rear boon? (Hint: Think of the minmax)

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You are a secret agent trying to stop a villain from enacting his evil plan to destroy the world. You are given some in.tel that there is a kill switch in a room located in a pyramid with 10 floors numbered 1 through 10 from top to bottom (top being 1 and 10 being bottom). You receive some additional in.tel that the room with the kill switch is located on a floor where each room is connected to three other rooms except for one which is connected to one other room. If you know that each floor number corresponds to the number of rooms on that floor then what is the highest floor that the kill switch can be located?

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