The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles

1. the origin of the $G(s)$-plane once in the counter-clockwise direction.
2. the origin of the $G(s)$-plane once in the clockwise direction.
3. the point $-1 + j0$ of the $G(s)$-plane once in the counter-clockwise direction.
4. the point $-1 + j0$ of the $G(s)$-plane once in the clockwise direction.
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