Threefold extremal contractions of type IA

Let $(X,C)$ be a germ of a threefold $X$ with terminal singularities along an irreducible reduced complete curve $C$ with a contraction $f:(X,C)\to (Z,o)$ such that C=f^{-1}(o)_{\red} and $-K_X$ is ample. Assume that a general member $F\in \mathrm{\mid }-K_X\mathrm{\mid }$ meets $C$ only at one point $P$ and furthermore $(F,P)$ is Du Val of type A if index$(X,P)=4$. We classify all such germs in terms of a general member $H\in \mathrm{\mid }{O}_X\mathrm{\mid }$ containing $C$.