Below is an context that describes a sql query, paired with an question that provides further information. Write an answer that appropriately completes the request.  # noqa: E501
### Context:
CREATE TABLE table_name_12 (pop_density__per_km2_ INTEGER, district VARCHAR, s_barangay VARCHAR)
### Question:
What is the lowest population density for the district of Santa Cruz and a Barangay larger than 82?
### Answer:
SELECT MIN(pop_density__per_km2_) FROM table_name_12 WHERE district = "santa cruz" AND s_barangay > 82