Find a REGULAR EXPRESSION corresponding to each of the following.

(a) {w{a,b}* | #a(w) 3}.

(b) {aⁿ b^m | n+m is even, where n, m 0}.

(c) The set of FORTRAN integer variables which can be one to six symbols (including A to Z and 0 to 9) in length and must start with I, J, K, L, M, or N.

(d) All binary strings whose value are greater than or equal to 32.

(e) The set of all signed or unsigned integers and real numbers in decimal notation. No leading zeros should be generated and real numbers must have at least one digit on both sides of the decimal point. For instance, 3, +3, -3, 0, +0, -0, 0.328, 1009.46, +100.80, and -100.3 are in the language, but 123., .25, +, -, 003 are not