prologues:=2; 
beginfig(1);
u:=0.025cm;
pickup pencircle scaled 1;
draw (320.0u,1060.0u)--(320.0u,860.0u);
label.lft(btex $y$ etex,(320u,1060u));
label.bot(btex $x$ etex,(580u,860u));
draw (320.0u,956.0u)--(460.0u,860.0u);
label.lft(btex $b\omega_1$ etex,(320u,956u));
label.bot(btex$\omega_1=\omega_2$ etex,(460u,860u));
draw (320.0u,1060.0u)--(580.0u,860.0u);
draw (320.0u,860.0u)--(580.0u,860.0u);
draw (355u,960u)..(400.0u,900.0u){dir -34}..(460u,880u);
draw (415u,960u)..(460.0u,900.0u){dir -34}..(520u,880u);
pickup pencircle scaled 4;
draw (400u,900u);
dotlabel.bot(btex $x^*$ etex,(400u,860u));
dotlabel.lft(btex $y^*$ etex,(320u,900u));
draw (460u,900u);
draw(528.0u,900.0u);
pair choice;
choice:=(1/3)[(460u,860u),(320u,1060u)];
draw choice withcolor green;
pickup pencircle scaled 1;
draw (460u,860u)--(320u,1060u) withcolor red;
tau:=.7;
draw tau[(355u,960u),(415u,960u)]..choice..tau[(400u,900u),(460u,900u)]..tau[(460u,880u),(510u,880u)];
drawarrow choice+(50u,50u)..choice+(5u,5u);
label.rt(btex $(x_1,y_1) $ etex,choice+(50u,50u));
dotlabel.rt(btex $(x^{\prime\prime},y^{\prime\prime})$ etex,2/3[(320u,1060u),(580u,860u)]);
endfig;
end