Let A={1,2,3, …, 100}. Let R be a relation on A defined by (x, y) ∈ R if and only if 2 x=3 y. Let R_1 be a symmetric relation on A such that R ⊂ R_1…

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