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size(0,150);
pen colour1=red;
pen colour2=green;
pair z0=(0,0);
pair z1=(-1,0);
pair z2=(1,0);
real r=1.5;
path c1=circle(z1,r);
path c2=circle(z2,r);
fill(c1,colour1);
fill(c2,colour2);
picture intersection;
fill(intersection,c1,colour1+colour2);
clip(intersection,c2);
add(intersection);
draw(c1);
draw(c2);
label("$A$",z1);
label("$B$",z2);
pair z=(0,-2);
real m=3;
margin BigMargin=Margin(0,m*dot(unit(z1-z),unit(z0-z)));
draw(Label("$A\cap B$",0),conj(z)--z0,Arrow,BigMargin);
draw(Label("$A\cup B$",0),z--z0,Arrow,BigMargin);
draw(z--z1,Arrow,Margin(0,m));
draw(z--z2,Arrow,Margin(0,m));
shipout(bbox(0.25cm));
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