In C++

Write a program that takes an arithmetic expression as a string and returns its value. For example, if the user enters 5+3*2+4 then the program should return 15. Assume that the user enters a valid expression. The program should handle the following arithmetic operators *, +, /, -. Obey the order of multiplication and division first, and then addition and subtraction.

Bonus: Add the ability to handle parentheses. Their order is the highest.

Note: You must use a null terminated character array to represent a string. In other words, you cannot use the class string.