Write the negation, contrapositive, converse, and inverse for the following statement. (Assume that all variables represent fixed quantities or entities, as appropriate.)
(a) Negation: If today is not New Year's Eve, then tomorrow is not January.
(b) Contrapositive: If tomorrow is not January, then today is not New Year's Eve.
(c) Converse: If tomorrow is January, then today is New Year's Eve.
(d) Inverse: If today is not New Year's Eve, then tomorrow is January.