$(6)$ Conbider the following paining between M$1$

and $P(N)$

$N,(N)$

nlongrightarrow$\{n^2,n^2+2,n^2+4,$dots$\}$ if $n$ is even

longrightarrow$\{n-1,n,n+1\}$ if $n$ is odd

Io this pairing a bijection? Exploin why yes

on why not!