Boundary interpolation by finite Blaschke products

Given $n$ distinct points $t_1,\dots ,t_n$ on the unit circle $\text{T}$ and equally many target values ${\text{f}}_1,\dots ,{\text{f}}_n\in \text{T}$, we describe all Blaschke products $f$ of degree at most $n-1$ such that $f(t_i)={\text{f}}_i$ for $i=1,\dots ,n$. We also describe the cases where degree $n-1$ is the minimal possible.