{"status": "success", "data": {"description_md": "$ABC$ is a triangle with $AB=52$, $BC=56$, and $CA=60$. Let the symmedian point $P$ be the point such that line $BP$ is the reflection of the $B$-median across the $B$-angle bisector and line $CP$ is the reflection of the $C$-median across the $C$-angle bisector. Let $BP$ and $CP$ intersect $CA$ and $AB$ at $B'$ and $C'$, respectively. Let $AP$ intersect the circumcircle of $ABC$ at $A'$. Let $A'B'$ and $A'C'$ intersect the circumcircle again at $D$ and $E$. Let $DE$ and $BC$ intersect at $K$. Find $AK$.", "description_html": "

ABC is a triangle with AB=52, BC=56, and CA=60. Let the symmedian point P be the point such that line BP is the reflection of the B-median across the B-angle bisector and line CP is the reflection of the C-median across the C-angle bisector. Let BP and CP intersect CA and AB at B' and C', respectively. Let AP intersect the circumcircle of ABC at A'. Let A'B' and A'C' intersect the circumcircle again at D and E. Let DE and BC intersect at K. Find AK.

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