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Mathematics, 20.11.2020 14:00 CassidgTab

A 100-gon P_1 is drawn in the Cartesian plane. The sum of the x-coordinates of the 100 vertices equals 2009. The midpoints of the sides of $P_1$ form a second $100$-gon, $P_2$. Finally, the midpoints of the sides of $P_2$ form a third $100$-gon, $P_3$. Find the sum of the $x$-coordinates of the vertices of $P_3$.

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