Show the parse tree for the sentence (a b)*(c-d*e) b) List the rule numbers of the grammar rules in the sequence in which they would be applied in parsing the sentence (a b)*(c-d*e) by top-down parsing. Separate adjacent rule numebrs by a comma. c) Same as b), but assume bottom-up parsing.

Create a class named majors that includes an enumeration for the six majors offered by a college as follows: acc, chem, cis, eng, his, phys. display the enumeration values for the user, then prompt the user to enter a major. display the college division in which the major falls. acc and cis are in the business division, chem and phys are in the science division, and eng and his are in the humanities division. save the file as majors.java.