Implement the following functions in C ONLY using bitwise operators like &, |, ^, ~, <<, >>, as well as +, -, <, >. (Not necessarily all of them.) Arithmetic operators /, %, and * are not allowed.

• int add_element(int x): function adds an element with index x to set J.
• int remove_element(int x): function removes an element with index x from set J.
• int contains_element(int x): function checks if an element with index x is contained in set J.