Set's size belong it

Let \(N\) be the number of subsets of \(\{1; 2; \ldots; 2015\}\) that contains its own size.

Find the 4 last digits of \(N\)?

Details and assumptions:

  • The set \(\{1; 2; 3\}\) will be counted because it has \(3\) elements and contain \(3\).
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