# 1999 PMWC Answer Key

T5. $[asy] /* modified Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */ import graph; size(7cm); real labelscalefactor = 0.5; /* changes label-to-point distance */ pen dps = linewidth(0.7) + fontsize(15); defaultpen(dps); /* default pen style */ pen dotstyle = black; /* point style */ real xmin = -3.026023412800261, xmax = 8.06690599900684, ymin = -4.726758813006724, ymax = 3.611932987992014; /* image dimensions */ /* draw figures */ draw(circle((0,0), 1)); draw(circle((2,0), 1)); draw(circle((4,0), 1)); draw(circle((1,-1), 1)); draw(circle((3,-1), 1)); /* dots and labels */ label("2",(0.5,-0.5)); label("4",(1.5,-0.5)); label("1",(2.5,-0.5)); label("3",(3.5,-0.5)); label("9",(-0.207106781186548,0.207106781186548)); label("8",(4.207106781186548,0.207106781186548)); label("6",(2,0.207106781186548)); label("5",(1,-1 - 0.207106781186548)); label("7",(3,-1 - 0.207106781186548)); label((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle); /* end of picture */ //Credit to dasobson for the diagram[/asy]$