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_2876467_3 (first_place INTEGER, third_place VARCHAR)

### Question ###
What is the maximum number of 1st places for the country with exactly 1 third place?

### Accurate SQL ###

SELECT MAX(first_place) FROM table_2876467_3 WHERE third_place = 1