parsing math expression in c/c++
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this time I have a question about Parsing Trees..

Get right to the point:

I have a string (math expresion estring), for example: "(a+b)*c-(d-e)*f/g".. I have to parse that expression in a Tree:

    class Exp{};
    class Term: public Exp{
        int n_;
    }
    
    class Node: Public Exp{
        Exp* loperator_;
        Exp* roperator_;
        char operation; // +, -, *, /
    }

What algorithm can I use to build a tree which represents de expresion string above?

Any suggestion are welcome.. thanks!!