Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the lowest population density for the district of Santa Cruz and a Barangay larger than 82?

### Inputs:
table_name: table, columns: ['District', 's Barangay', 'Population (2010 census)', 'Area ( has .)', 'Pop. density (per km2)']

### Response:
SELECT MIN Pop. density (per km2) FROM table WHERE District = santa cruz AND s Barangay > 82