Let $x[k]$ denote the $N-$point DFT of $x[n],$ and define a new

$Y[l]={\displaystyle \underset{k=0}{\overset{N-1}{}}}x[k]W^{lk},0lN-1$

That is$,Y[l]$ is the DFT of the DFT of $x[n].$ Express $Y[l]$ directly in terms of $x[n].$ For example, suppose $N=5$ and $x[n]$ is $\{2,4,8,10,12\}$ for $0n4.$ Then what is $Y[l]$ for $0l4?$