Q$2$: Given a PRF $E$:$K\{0,1{\}}^n\{0,1{\}}^m,$ we construct $,F$:$K$

$\{0,1{\}}^{n-1}\{0,1{\}}^{2m}$ as follows:

$F(K,x)$:$=E(K,x||0)||E(K,x||1).$

Is $F(K,*)$ still a PRF$?$ If yes, give a brief proof, if not, give a brief

attack showing the violation of PRF definition. $(10$ pts$)$ please no chatgpt