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