Consider the following BNF grammar rules:

::= [, ] |

::= | ()

::= x|y|z

For each of the following strings, indicate all the syntactic categories of which it is a member, if any:

1. z

2. (x)

3. [y]

4. ([x,y])

5. [(x), y)]

6. [(x),[y,x]]

Please give the following : the nonterminal symbols, the terminal symbol, and the parse tree for the : y

Can you give steps please to show how you got to answer. Thank you