Extend the grammar of Figure 2.25 to include if statements and while loops, along the lines suggested by the following examples:

abs := n if n 0 do read n sum := sum + n count := count - 1 od write sum

Q) Your grammar should support the six standard comparison operations in conditions, with arbitrary expressions as operands. It should also allow an arbitrary number of statements in the body of an if or while statement.

1. program stmt_list $$ 2. stmt_list + stmt_list stmt 3. stmt list stmt 4. stmt - id := expr 5. stmt + read id stmt + write expr expr + term 8. expr + expr add op term 9. term + factor 10. term + term mult_op factor 11. factor + ( expr ) 12. factor id 13. factor + number 14. add_op + + 15. add-op +- 16. mult_op * 17. mult_op 1 Figure 2.25 LR(1) grammar for the calculator language. Productions have been numbered for reference in future figures