Let T be the set $\{$w $\{0,1\}||$w$|3\}.$Let R be the equivalence relation defined on T as follows:R $=\{($x$,$ y$)|$ x T$,$ y T$,$ n$0($x$)$ n$1($x$)=$ n$0($y$)$ n$1($y$)\},$where n$0($x$)$ represents the number of zeroes in the string x$,$ n$1($x$)$ represents the number of onesin the string x$,$ etc..For example, $(010,0)$ is a pair in R because n$0(010)$ n$1(010)=21=1,$ and n$0(0)$ n$1(0)=10=1.$As discussed in class, any equivalence relation will divide the underlying set $($in this case, T $)$ intosubsets called equivalence classes.Every element in the set will appear in exactly one equivalence class and will be related to allelements in its class and not related to any elements outside of its class.What are the equivalence classes of T created by the relation R$?[$Note: This topic is not covered in the book, but it was discussed in class.$]$