IR-TST 2013 Problem 1

In acute-angled triangle $ABC$ , let $H$ be the foot of perpendicular from $A$ to $BC$ and also suppose that $J$ and $I$ are excenters oposite to the side $AH$ in triangles $ABH$ and $ACH$ . If $P$ is the point that incircle touches $BC$ , prove that $I,J,P,H$ are concyclic.