join returns too many results...

When I join tables; I will sometimes get multiple rows back as in this
example.

create table class(name varchar, p point, d int);
insert into class values( 'All', point(50,50), 100 );
insert into class values( 'NE70', point(70,70), 20 );
insert into class values( 'NE75', point(75,75), 20 );
insert into class values( 'NE80', point(80,80), 20 );
insert into class values( 'Centre', point(50,50), 5 );

create table list(x varchar, p point);
insert into list values('A',point(10,10));
insert into list values('B',point(75,75));
insert into list values('C',point(51,51));

select x,name,class.p<->list.p as dist, class.d as size from list left
join class on list.p <@ circle(class.p,class.d);
x | name | dist | size
---+--------+------------------+------
A | All | 56.5685424949238 | 100
B | All | 35.3553390593274 | 100
B | NE75 | 0 | 20
B | NE70 | 7.07106781186548 | 20
B | NE80 | 7.07106781186548 | 20
C | All | 1.4142135623731 | 100
C | Centre | 1.4142135623731 | 5

In the case where multiple rows are returned from class; I will need to
add another condition which decides which row to return.
1) distance from centre
2) size of circle
Whatever clause I choose to add I *must* ensure that final result set
contains only one-to-one join between tables. Either of these two
results is acceptable:

For option 1; result C=All or C=Centre is acceptable.
For option 2; result B=NE70 or B=NE75 or B=NE80 is acceptable.

I am lost trying to construct SQL to accomplish this...