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How much can this pyramid support, in pounds.?

Suppose you have a bunch of wooden beds. They each weigh 200 pounds and they are arranged in a pyramid. The base layer is 5 beds by 5 beds, the layer above is 4 beds by 4 beds, and so on until the top layer of one bed. They are arranged in such a way that each bed is resting on four beds below it with one leg on each of the four beds. If the weight on each bed is always equally distributed to all four legs, and each bed leg can only support 200 pounds, how many pounds can you place on top of the topmost bed?

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