Question 55
Let $\Omega$ and $O$ be the circumcircle and the circumcenter of a triangle $ABC$. A circle with diameter $AO$ intersects the circumcircle of the triangle $OBC$ at point $S \neq O$. The tangents to $\Omega$ at points $B$ and $C$ meet at point $P$. Prove that the points $A$, $S$, and $P$ are collinear. (R. Sadykov)