Not the Roots of Unity

Probability Level 3

How many trailing zero(s) are there in the constant term of (x+1x)2014 \left (x+\frac{1}{x} \right )^{2014}?

Details and Assumptions:

  • The number of trailing zeroes in a number is the number of zeroes at the end of the number, e.g., 100100 has 22 trailing zeroes, and 100000001100000001 has none.
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