$*$Drow $**$NOTCHATGPT$*$ Question $1$: Design a Turing machine for the given language descriptions. $[2$ marks$]$ L$=$a$^($n$)$ b$^(3$n$)$;n$>0.$ L$=$a$^($n$+1)$ b$^($n$+3)$;n$>=0$