Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height $\backslash ($ d $\backslash ).$ The mass of each object is a multiple of the base mass $\backslash ($ m $\backslash )$ : object $1$ has mass $\backslash (3\mathrm{.}70$ m $\backslash ),$ object $2$ has mass $\backslash (1\mathrm{.}96$ m $\backslash ),$ and object $3$ has mass $\backslash ($ m $\backslash ).$

Define the total gravitational potential energy of the threeobject system to be zero when the objects are at the bottom of the steps.

Each answer requires the numerical coefficient to an algebraic expression that uses some combination of the variables $\backslash ($ m$,$ g $\backslash ),$ and $\backslash ($ d $\backslash ),$ where $\backslash ($ g $\backslash )$ is the acceleration due to gravity. Enter only the numerical coefficient. $($Example: If the answer is $1\mathrm{.}23$ mgd $,$ just enter $1\mathrm{.}23)$