Algorithm 1: Pseudo Code for the RA Algorithm.

$\mathbb{I}$= the set of resources $\mathcal{C}$ = the set of cellular users $\mathcal{T}$ = the set of D2D transmitters $ℛ$ = the set of D2D receivers $ℳ$ = the set of multicast D2D groups Generate all randomly distributed cellular and D2D users’ locations within the cell of radius y eNB transmits pilot signals to cellular and D2D users for all $cϵ\mathcal{C}$, $mϵℳ$ do     Calculate distance between cellular users and D2D users and between D2D transmitter and nearly receivers     Calculate the probability $P_R$ that the D2D receiver can detect the signal transmitted from the D2D transmitter     if ${\delta }_{c,m}^i=1$, $\forall i ϵ \mathbb{I}$ then       Select the spectrum resource i which can share between cellular user and multicast D2D group       Calculate $H_{c,eNB}$, $H_{m,eNB}$, $H_{m,c}$, and $H_{m^{\prime },m}$       Calculate ${\gamma }_c^i$ and ${\gamma }_m^i$       Calculate ${\beta }_c^i$ and ${\beta }_m^i$       Calculate $R_c^i$ and $R_m^i$       Formulate data rate maximization problem for $i^{th}$ resource as         if ${\gamma }_c^i \ge {\gamma }_{c_{min}}^i$, ${\gamma }_m^i \ge {\gamma }_{m_{min}}^i$, $R_c^i\ge R_{Th}$, and $R_m^i\ge R_{Th}$ then   S1. $\underset{iϵ\mathbb{I}}{\max }\sum _{c=1}^C\sum _{m=1}^M{R}_{sum}^i$, $\forall cϵ\mathcal{C}$, $mϵℳ$    Calculate $W_{sum}^i$     else     ${\delta }_{c,m}^i=0$     end if     else     Select the spectrum band i’,$i^{\prime } ϵ \mathbb{I}$     Calculate $H_{c,eNB}$, $H_{m,eNB}$, $H_{m,c}$, $H_{m^{\prime },m}$, ${\gamma }_c^{i^{\prime }}$, ${\gamma }_m^{i^{\prime }}$ ${\beta }_c^{i^{\prime }}$, ${\beta }_m^{i^{\prime }}$, $R_c^{i^{\prime }}$, and $R_m^{i^{\prime }}$     end if end for Check for all available resources that fulfill the reuse criteria