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Combining two queries

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I have a table called friends with a user_id and a friend_id (both of these relate to an id in a users table).

For each friend relationship there are two rows. There are currently ONLY reciprocal relationships. So if user ids 1 and 2 are friends there will be two rows (1,2) and (2,1). 

For 2 arbitrary ids, I need a query to get two pieced of data:
   * Are the two users friends?
   * How many friends do the two users have in common.

Is there a way to do this with one query? Currently I've only been able to figure out how to do it with two.

SELECT 
  EXISTS(
    SELECT 1 
    FROM friends 
    WHERE user_id = 166324 AND friend_id = 166325) AS friends,
  (SELECT COUNT(1)
    FROM friends f1 JOIN friends f2 ON f1.friend_id = f2.friend_id
    WHERE f1.user_id = 166324 AND f2.user_id = 166325) AS mutual;

I'm wondering if there is a better way to do this using only one query. I've tried a couple of GROUP BY approaches but they haven't worked.

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