SHARYGIN 2012 Problem 13

Points $A, B$ are given. Find the locus of points $C$ such that $C$ , the midpoints of $AC, BC$ and the centroid of triangle $ABC$ are concyclic.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.