Let $S$ be a set containing distinct integers such that the smallest element is 0 and the largest element is 2015.  Find the smallest possible average of the elements in $S.$
Question:
Let $S$ be a set containing distinct integers such that the smallest element is 0 and the largest element is 2015.  Find the smallest possible average of the elements in $S.$
Answer:
Let's think step by step.

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Let $S$ be a set containing distinct integers such that the smallest element is 0 and the largest element is 2015.  Find the smallest possible average of the elements in $S.$
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