RU-SPB 2014 Problem 114

Points $B_1,C_1$ are on $AC$ and $AB$ and $B_1C_1 \parallel BC$ . Circumcircle of $ABB_1$ intersect $CC_1$ at $L$ . Circumcircle $CLB_1$ is tangent to $AL$ . Prove $AL \leq \frac{AC+AC_1}{2}$