Using encoding 1, we end up in the following formula:\\
$b = v_1$\\\\
Using encoding 2, we end up in the following formula:\\
$b = (v_1 \land \lnot v_0) \lor (\lnot v_1 \land v_0)$\\

Encoding 1 gives a shorter symbolic representation
for the set $B=\{France, Germany\}$.