Circle
has radius
, and the point
is a point on the circle. Circle
has radius
and is internally tangent to
at point
. Point
lies on circle
so that
is located
counterclockwise from
on
.














There is one point
inside all of these circles. When
, the distance from the center of
to
is
, where
and
are relatively prime positive integers.
Find
.







Find

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