Define function h: $\{0,1)2000-\{0,1]512$ as follows: for every

$2000-$bit input x $=24||$x$2$ where each x; is $1000$ bits, h$($x$)=$

h$(21||22)=$ f$($x$)|$If$($x$2).$ Would h be collision resistant? Please

explain your answer. $($If your answer is "yes", please justify your

reasoning; otherwise, please provide a counterexample.$)$