b$)$ Derive the logic and computation to determine the closest pixel

m

to a location

x

in the original image. That is$,$ given

x

$,$ determine

m

where

m

in $[1,...,$M$]$

$.$ You can assume $\backslash [0\mathrm{.}5\backslash$leq x $\backslash$leq M$+0\mathrm{.}5.$