Sets And Relations

Let \(A=\{1,2,3, \ldots \ldots \ldots \ldots, 100\}\). Let \(R\) be a relation on \(\mathrm{A}\) defined by \((x, y) \in R\) if and only if \(2 x=3 y\). Let \(R_1\) be a symmetric relation on \(A\) such that \(R \subset R_1\) and the number of elements in \(R_1\) is \(\mathrm{n}\). Then, the minimum value of \(\mathrm{n}\) is _________.