Define a grammar by setting

$=\{\}$

and let F consist of the following instruction formulas.

$1.$N V$.2.$N$$n$,$ for some n $\{$he$,$ she, Jos$,$ Sal, Anna$\}.3.$V$$v$,$ for some v $\{$runs$,$ jumps, skips, falls, swims$\}.4.$ P $.5.$P$$p$,$ for some p $\{$and$,$ while until$\}.6.$either $$ or $.$

Give derivations for the following string in the given grammar.

Either Anna runs and she jumps or either Sal falls or Jos$$ swims.

$$initial string $$Either $$ or $$formula $?123456$Either $$ or either $$ or $$formula $?123456($on $?$rightmost$$leftmost $)$Either $$ P $$ or either $$ or $$formula $?123456$Either N V P N V or either N V or N Vformula $?123456(4$ times$)$Either Anna V P she V or either Sal V or Jos$$ Vformula $?123456(4$ times$)$Either Anna runs P she jumps or either Sal falls or Jos$$ swimsformula $?123456(4$ times$)$Either Anna runs and she jumps or either Sal falls or Jos$$ swims