Question 3
(YUG) The incircle is inscribed in a triangle $ABC$ with sides $a,b,c$. Three tangents to the incircle are drawn, each of which is parallel to one side of the triangle $ABC$. These tangents form three smaller triangles (internal to $\triangle ABC$) with the sides of $\triangle ABC$. In each of these triangles an incircle is inscribed. Determine the sum of areas of all four incircles.