Please use Fourier fft and try your solution make sure it works

a$)$ Implement the function 'scale$\_$down$($image$,$ resize$\_$ratio$)\text{'}.$

Given an image, use a Fourier transform to scale down the image $($optimal interpolation, remember?$).$ Leave ratio$*$size from the original image$($Also$,$ consider possibly blurring the image before scaling it down$).$

Tips:

Assume the ratio is between $0$ and $1.$

Try to implement at first with ratio $=0\mathrm{.}5$ to get a feel for it$.$