$(20$ points$)$ The figure below shows a circuit whose elements have the following values: ${}_1=10\mathrm{.}0V,{}_2=5\mathrm{.}0V,R_1=4\mathrm{.}0,R_2=4\mathrm{.}0,$ and $R_3=4\mathrm{.}0.$ Find the magnitude and direction $($up or down in $R_3$ and right or left in $R_1$ and $R_2)$ of currents in resistances $1,2,$ and $3.$