\[ \large {1 \quad 2 \quad 3 \quad \ldots \quad n}= 2016 \]

Using mathematical operators like addition, subtraction, multiplication, division, exponents, factorials and parenthesis, what is the minimum value of \(n\) required to get the number 2016?

**Details and Assumptions**:

You are not allowed to combine the digits and you must keep the digits in that order (from left to right).

You are \(not\) allowed to put any operator before \(1\) ie you cannot write \(-1\) and thus negate the value of \(1\).

As an explicit example, if the number 2016 is replaced by the number 0, then \(1+2-3=0 \) which makes \(n=3 \).

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