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Averaging down There are n>1 identical vessels, one of them with W pints of water and the others empty. You are allowed to perform the

Averaging down There are n>1 identical vessels, one of them with W pints of water and the others empty. You are allowed to perform the following operation: take two of the vessels and split the total amount of water in them equally between them. The object is to achieve a minimum amount of water in the vessel containing all the water in the initial set up by a sequence of such operations. What is the best way to do this?

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