100 solutions, 700 upvotes problem

Probability Level 3

(20160)+2(20161)++22016(20162016)(20160)+(20161)++(20162016) \dfrac{\binom{2016}{0}+2\binom{2016}{1}+\cdots+2^{2016}\binom{2016}{2016}}{\binom{2016}{0}+\binom{2016}{1}+\cdots+\binom{2016}{2016}}

If the above expression is in the form A2016A^{2016}, find AA.

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