Consider all monic polynomials of the form $f_a(x) = x + a$. As $a$ ranges over all real numbers, what is the minimum value of $N_a$, where

$N_a = \max_{x \in [-16, 10] } \lvert f_a(x) \rvert ?$

**Details and assumptions**

The last equation states: "The maximum value of the absolute value of $f_a(x)$, as $x$ ranges from $-16$ to $10$ inclusive".

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