Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_11622255_1 ( purse__ INTEGER, tournament VARCHAR )

### Question ###
what is the minimum purse( $ ) where tournament is ko olina senior invitational

### Accurate SQL ###

SELECT MIN(purse__) AS $__ FROM table_11622255_1 WHERE tournament = "Ko Olina Senior Invitational"