Determine whether each of the following logic expressions is a tautology, a contingency, or a contradiction:

1. ( ) ( ))

2. ( ) ( )

3. ( ) ( r) ( )

4. (( ) ) ( ( ))

Your program must compute the truth values based on the operators and build a truth table for each expression. The expressions can be hard-coded in your program, but the key is you need to use the right operators in C++ to get the right result that is consistent with the original logic expression. Regarding how to find the right operators, you can find some hints in the Output Specification section below.