An alkene $A\left(\mathrm{C}_4 \mathrm{H}_8\right)$ exhibits cis/trans isomerism. $A$ on ozonolysis gives $B$, which when reacted with NaOH followed by hydroxylamine gave $C$. What are $B$ and $C$ ?

$$ \text { The major product formed in the following reaction is } $$

$$ \text { The major product in the following reactions, is } $$

The number of bijective functions $f: \mathbf{Z} \rightarrow \mathbf{Z}$ such that $f(x+y)=f(x)+f(y) \forall x, y \in \mathbf{Z}$, is