The system has a star $\backslash ($ S $\backslash )$ and three planets, labeled $\backslash (\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\}\backslash ),$ and C $.$ The table provides the mass of each body in the system, as well as their spatial coordinates $\backslash (($x$,$ y$)\backslash )$ in their initial and final positions. The spatial coordinates of the bodies are given in Astronomical Units $($AU$).$

The initial velocity of the center of mass of the system is zero.

Determine the magnitude $\backslash ($ d$\_\{\backslash$mathrm$\{$S$\}\}\backslash )$ of the star's displacement from the origin in its final position.

$\backslash [$

d$\_\{\backslash$mathrm$\{$S$\}\}=$

$\backslash ]$