Here is a context-free grammar that can be used to generate algebraic expression

Here is a context-free grammar that can be used to generate algebraic expressions via the arithmetic operators (addition subtraction multiplication and division) in the variables p q and r. The letter E stands for expression:Rule 1: E pRule 2: E qRule 3: E rRule 4: E E + ERule 5: E E ERule 6: E E X ERule 7: E E/ERule 8: E (E)(i). Use the above grammar to derive the string given by the mathematical expression E = (p + q) X p r X p/(q + q)(ii). Provide a parse tree for this derivation.