For each \(1\leq i\leq 9\) and \(T\in\mathbb N\), define \(d_i(T)\) to be the total number of times the digit \(i\) appears when all the multiples of \(1829\) between \(1\) and \(T\) inclusive are written out in base \(10\).
Show that there are infinitely many \(T\in\mathbb N\) such that there are precisely two distinct values among \(d_1(T)\), \(d_2(T)\), \(\dots\), \(d_9(T)\).