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Given a string like fun1(fun2(a,b) ,c ,fun2(a),fun3(c,d)) write a program which counts the number of unique function signatures.

Can you explain why you believe we should write this program? - Sam Varshavchik
I’m voting to close this question because order to write a program is not accepted. - MikeCAT
First you need to define what "unique function signature" means. (This looks a lot like an exercise that presupposes that you have solved some earlier exercises in the same area and can make use of what you did for those.) - molbdnilo