$1.$ A grid$-$connected photovoltaic array is required to supply $\backslash (5000\backslash$mathrm$\{$kWh$\}/\backslash$mathrm$\{$yr$\}\backslash )$ to a residential building using a $\backslash (75\backslash \%\backslash )$ efficient inverter.

The key characteristics of the proposed photovoltaic module at standard test conditions are:

The maximum allowable voltage on the building roof is $600$ V under the coldest temperature. The maximum power point stays below the $480$ V that the inverter needs for proper tracking under the coldest temperature. The inverter needs at least $250$ V to properly maintain maximum power point tracking under the hottest temperature. The maximum allowable DC input current for the inverter is $21$ A $.$ The peak sun hours are $5\mathrm{.}32$ hours$/$day$.$

Design this array to satisfy the requirements. Your design includes the optimal total number of modules and their combination.