A 100-gon P1 is drawn in the Cartesian plane. The sum of the x-coordinates of the 100 vertices equals 2009. The midpoints of the sides of P1 form a second 100-gon, P2. Finally, the midpoints of the sides of P2 form a third 100-gon, P3. Find the sum of the x-coordinates of the vertices of P3.

yeyenation Mar 25, 2018