Level
pending

Let \(\mathbb{S}= \{1, 2, \cdots , 2014\}\). A bijective function \(f:\mathbb{S} \rightarrow \mathbb{S}\) is randomly chosen. Find the expected number of integers \(n\) \(\left ( 1 \leq n \leq 2014 \right ) \) such that \(f(n)=n\).

**Note:** This problem isn't original. I got this problem from an INMO training camp.

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