+660 A \(33 \)-gon \(P_1\) is drawn in the Cartesian plane. The sum of the \(x\)-coordinates of the \(33\) vertices equals \(99\) The midpoints of the sides of \(P_1\)form a second \(33\)-gon, \(P_2 \). Finally, the midpoints of the sides of \(P_2\) form a third \(33\)-gon, \( P_3\). Find the sum of the \(x \)-coordinates of the vertices of \(P_3\).
