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Let $a - 2b + c = 1$.
If $f(x) = \begin{vmatrix} x + a & x + 2 & x + 1 \ x + b & x + 3 & x + 2 \ x + c & x + 4 & x + 3 \end{vmatrix}$, then:
(1) $f(-50) = 501$
(2) $f(-50) = -1$
(3) $f(50) = -501$
(4) $f(50) = 1$
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