In Python, create a parser that produces a parse tree composed of "nodes", for the following grammar:

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; Sample BNF Grammar for expressions. Note: this grammar avoids left recursion ;; making it easier to support LL recursive descent parsing. ;; ;; ::- ADD ;; | ;; ;; ::- MULTIPLY ;; | ;; ;; ::- LPAREN RPAREN ;; | NUM ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

Write test code to iterate through the parse tree in post order outputting a reverse-polish descriptive string for the parse tree. For example.

Given input: "(5 + 3) * 8" without the quotes, the output should be "5 3 + 8 *" without the quotes.

Given input: "5 + 3 * 8" without the quotes, the output should be "5 3 8 * +" without the quotes.