e$.$ Plot the absolute value of the Fast Fourier Transform $($FFT$)$ of the input signal x$[$n$],$ and the output signal y$[$n$]$ from $0$ to $100.$ How many peaks can you find? What are the differences between the two? $[1\mathrm{.}5$ Marks$]($useful commands: fft$,$ abs$)$

f$.$ Calculate the time it takes to run the whole program using $$tic$-$toc$.$ Similarly, measure the time for only the FFT$.$ What percentage of the time resource requirement is taken by the FFT$?[3$ Marks$]$