Wilson quotient

Given a prime number $p$, we define the Wilson quotient as:
$W_p=\frac{(p-1)!+1}{p}$
and its residue modulo p as:
$w_p=W_p\text{ modulo p in the interval }\frac{-p}{2}\le w_p<\frac{p}{2}$

Find $w_{200000039}$
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