For a non-equilateral triangle, the coordinates of the orthocentre and the circumcentre are \((-6, -9)\) and \((3, 3)\) respectively. What is the coordinates of the centroid of the triangle if the centroid divides the distance from the orthocentre to the circumcentre in the ratio \(2:1\).
 
The coordinates of the centroid of the triangle are i,i