Sets And Relations

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