A developer is planning to build a housing complex on an empty tract of land. Exactly seven different styles of houses$--$Q$,$ R$,$ S$,$ T$,$ W$,$ X$,$ and Z $--$will be built in the complex. The complex will contain several blocks and the developer plans to put houses of at least three different styles on each block. The developer will build the complex according to the following rules:

$-$Any block that has style $Z$ on it$.$must also have style $W$ on it$.$

$($If Z$,$ then W$)$

$-$Any block adjacent to$/($next to$)$ one that has on it both style $S$ and $x$ must have on it style $T$ and style $Z.$

$($If $($S and X$),$ then $($T and Z$))$

$-$No block adjacent to$/($next to$)$ one that has on it both style $R$ and style $Z$ can have on it either

style T or style W$.$

$($If $(R$ and Z$),$ then not either $($T or W$)$

$-$No block can have on it both style $S$ and style $Q.$

$($Not both $(S$ and $x)($together$))$

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