Modify the following sample grammar shown in the class:

so the following three programs can be parsed:

Program #$1$

$a=1$;$b=c$;

if $(a=a)$

$\{a=a-1$;$b=b+1$;$c=0$;$\}$

while $(jb)\{i=i+1$;$j=a**i$;$\}$

Program #$3$

$n=9$;$i=0$;$j=\frac{n}{3}$;

while $(i**jn-1)$

$if(ij)$

$,i=i+j$;

Show the complete modified grammar.