Counting the number of first place scores with mysql

Ok, so I have the following database:

CREATE TABLE IF NOT EXISTS `highscores` (
   `lid` int(11) NOT NULL,
   `username` varchar(15) NOT NULL,
   `score` int(16) NOT NULL,
   PRIMARY KEY  (`lid`,`username`)
 ) ENGINE=MyISAM DEFAULT CHARSET=latin1;
 

lid being the level id.

lets say I have the following values in the table:

lid, username,score
 
 1,sam,15 
 1,joe,12
 1,sue,6
 1,josh,9
 2,sam,8
 2,joe,16 
 2,sue,4
 3,sam,65 
 4,josh,87 
 4,sue,43
 5,sam,12
 5,sue,28
 5,joe,29
 and so on.
 

How would I create a query(or if required a set of queries) to get the following

sam has 3 high scores
 joe has 2 high scores
 josh has 1 high score 
 

Thanks in advance.

---