Let \( A=\{1,2,3,4\} \) and \( R=\{(1,2),(2,3),(1,4)\} \) be a relation on \( A \). Let \( S \) be the equivalence relation on \( A \) sum that \( R \subset S \) and the number of elements in \( S \) in \( n \). Then, the minimum value of \( n \) is:
