given $z_0$ and $\lambda_0$ the schwarz lemma tells us when we can find an analytic map $f:\mathbb{d}\rightarrow \mathbb{d}$ such that $f(0)=0$ and $f(z_0)=\lambda_0.$ we consider the following more general problem: given some data $(z_i)^{n}_{i=1}$ and $(\lambda_i)^{n}_{i=1}$ when is there an analytic $f:\mathbb{d}\rightarrow \mathbb{d}$ such that $f(z_i)= \lambda_i.$